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Sample records for integration arithmetic motivic

  1. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

    Science.gov (United States)

    Daches Cohen, Lital; Rubinsten, Orly

    2017-01-01

    Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother’s math anxiety and maternal behaviors (environmental factors); (b) children’s arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed. PMID:29180973

  2. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School.

    Science.gov (United States)

    Daches Cohen, Lital; Rubinsten, Orly

    2017-01-01

    Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother's math anxiety and maternal behaviors (environmental factors); (b) children's arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children's math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers' attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children's skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

  3. Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

    Directory of Open Access Journals (Sweden)

    Lital Daches Cohen

    2017-11-01

    Full Text Available Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a mother’s math anxiety and maternal behaviors (environmental factors; (b children’s arithmetic skills (cognitive factors; and (c intrinsic math motivation (personal factor. A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

  4. Integrative Perspectives of Academic Motivation

    Science.gov (United States)

    Chittum, Jessica Rebecca

    My overall objective in this dissertation was to develop more integrative perspectives of several aspects of academic motivation. Rarely have researchers and theorists examined a more comprehensive model of academic motivation that pools multiple constructs that interact in a complex and dynamic fashion (Kaplan, Katz, & Flum, 2012; Turner, Christensen, Kackar-Cam, Trucano, & Fulmer, 2014). The more common trend in motivation research and theory has been to identify and explain only a few motivation constructs and their linear relationships rather than examine complex relationships involving "continuously emerging systems of dynamically interrelated components" (Kaplan et al., 2014, para. 4). In this dissertation, my co-author and I focused on a more integrative perspective of academic motivation by first reviewing varying characterizations of one motivation construct (Manuscript 1) and then empirically testing dynamic interactions among multiple motivation constructs using a person-centered methodological approach (Manuscript 2). Within the first manuscript (Chapter 2), a theoretical review paper, we summarized multiple perspectives of the need for autonomy and similar constructs in academic motivation, primarily autonomy in self-determination theory, autonomy supports, and choice. We provided an integrative review and extrapolated practical teaching implications. We concluded with recommendations for researchers and instructors, including a call for more integrated perspectives of academic motivation and autonomy that focus on complex and dynamic patterns in individuals' motivational beliefs. Within the second manuscript (Chapter 3), we empirically investigated students' motivation in science class as a complex, dynamic, and context-bound phenomenon that incorporates multiple motivation constructs. Following a person-centered approach, we completed cluster analyses of students' perceptions of 5 well-known motivation constructs (autonomy, utility value, expectancy

  5. Simplification of integrity constraints with aggregates and arithmetic built-ins

    DEFF Research Database (Denmark)

    Martinenghi, Davide

    2004-01-01

    Both aggregates and arithmetic built-ins are widely used in current database query languages: Aggregates are second-order constructs such as CNT and SUM of SQL; arithmetic built-ins include relational and other mathematical operators that apply to numbers, such as < and +. These features are also...... time, simplified versions of such integrity constraints that can be tested before the execution of any update. In this way, virtually no time is spent for optimization or rollbacks at run time. Both set and bag semantics are considered....... of interest in the context of database integrity constraints: correct and efficient integrity checking is crucial, as, without any guarantee of data consistency, the answers to queries cannot be trusted. In this paper we propose a method of practical relevance that can be used to derive, at database design...

  6. Four (Algorithms) in One (Bag): An Integrative Framework of Knowledge for Teaching the Standard Algorithms of the Basic Arithmetic Operations

    Science.gov (United States)

    Raveh, Ira; Koichu, Boris; Peled, Irit; Zaslavsky, Orit

    2016-01-01

    In this article we present an integrative framework of knowledge for teaching the standard algorithms of the four basic arithmetic operations. The framework is based on a mathematical analysis of the algorithms, a connectionist perspective on teaching mathematics and an analogy with previous frameworks of knowledge for teaching arithmetic…

  7. The Arithmetic of Emotion: Integration of Incidental and Integral Affect in Judgments and Decisions

    Directory of Open Access Journals (Sweden)

    Daniel eVastfjall

    2016-03-01

    Full Text Available Research has demonstrated that two types of affect have an influence on judgment and decision making: incidental affect (affect unrelated to a judgment or decision such as a mood and integral affect (affect that is part of the perceiver’s internal representation of the option or target under consideration. So far, these two lines of research have seldom crossed so that knowledge concerning their combined effects is largely missing. To fill this gap, the present review highlights differences and similarities between integral and incidental affect. Further, common and unique mechanisms that enable these two types of affect to influence judgment and choices are identified. Finally, some basic principles for affect integration when the two sources co-occur are outlined. These principles are discussed in relation to existing work that has focused on incidental or integral affect but not both.

  8. Reversible arithmetic logic unit for quantum arithmetic

    DEFF Research Database (Denmark)

    Thomsen, Michael Kirkedal; Glück, Robert; Axelsen, Holger Bock

    2010-01-01

    This communication presents the complete design of a reversible arithmetic logic unit (ALU) that can be part of a programmable reversible computing device such as a quantum computer. The presented ALU is garbage free and uses reversible updates to combine the standard reversible arithmetic...... and logical operations in one unit. Combined with a suitable control unit, the ALU permits the construction of an r-Turing complete computing device. The garbage-free ALU developed in this communication requires only 6n elementary reversible gates for five basic arithmetic-logical operations on two n......-bit operands and does not use ancillae. This remarkable low resource consumption was achieved by generalizing the V-shape design first introduced for quantum ripple-carry adders and nesting multiple V-shapes in a novel integrated design. This communication shows that the realization of an efficient reversible...

  9. Arithmetical meadows

    OpenAIRE

    Bergstra, J.A.; Middelburg, C.A.

    2009-01-01

    An inversive meadow is a commutative ring with identity equipped with a multiplicative inverse operation made total by choosing 0 as its value at 0. Previously, inversive meadows were shortly called meadows. A divisive meadow is an inversive meadows with the multiplicative inverse operation replaced by a division operation. In the spirit of Peacock's arithmetical algebra, we introduce variants of inversive and divisive meadows without an additive identity element and an additive inverse opera...

  10. MOTIVATION

    Institute of Scientific and Technical Information of China (English)

    1994-01-01

    Introduction What is the difference between instrumental and integrative motivation? What kind of motivations do students have? How can our knowledge of motivation help the language learning process? Motivation can be very important in language teaching. Students can do very well when they are motivated. Teachers, with their knowledge of motivation, can make their classes more efficient and successful. Middle school teachers, in addition to learning about the English language itself, and about teaching methods, should also learn more about motivation and how this affects our students. "When we consider language teaching, motivation can be classified as either integrative or instrumental motivation" (Luxon)

  11. RSFQ logic arithmetic

    International Nuclear Information System (INIS)

    Mukhanov, O.A.; Rylov, S.V.; Semenov, V.K.; Vyshenskii, S.V.

    1989-01-01

    Several ways of local timing of the Josephson-junction RSFQ (Rapid Single Flux Quantum) logic elements are proposed, and their peculiarities are discussed. Several examples of serial and parallel pipelined arithmetic blocks using various types of timing are suggested and their possible performance is discussed. Serial devices enable one to perform n-bit functions relatively slowly but using integrated circuits of a moderate integration scale, while parallel pipelined devices are more hardware-wasteful but promise extremely high productivity

  12. Conceptual Integration of Arithmetic Operations with Real-World Knowledge: Evidence from Event-Related Potentials

    Science.gov (United States)

    Guthormsen, Amy M.; Fisher, Kristie J.; Bassok, Miriam; Osterhout, Lee; DeWolf, Melissa; Holyoak, Keith J.

    2016-01-01

    Research on language processing has shown that the disruption of conceptual integration gives rise to specific patterns of event-related brain potentials (ERPs)--N400 and P600 effects. Here, we report similar ERP effects when adults performed cross-domain conceptual integration of analogous semantic and mathematical relations. In a problem-solving…

  13. Arithmetic of Complex Manifolds

    CERN Document Server

    Lange, Herbert

    1989-01-01

    It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions, modular forms, abelian varieties and algebraic three-folds.

  14. ASIC For Complex Fixed-Point Arithmetic

    Science.gov (United States)

    Petilli, Stephen G.; Grimm, Michael J.; Olson, Erlend M.

    1995-01-01

    Application-specific integrated circuit (ASIC) performs 24-bit, fixed-point arithmetic operations on arrays of complex-valued input data. High-performance, wide-band arithmetic logic unit (ALU) designed for use in computing fast Fourier transforms (FFTs) and for performing ditigal filtering functions. Other applications include general computations involved in analysis of spectra and digital signal processing.

  15. [Acquisition of arithmetic knowledge].

    Science.gov (United States)

    Fayol, Michel

    2008-01-01

    The focus of this paper is on contemporary research on the number counting and arithmetical competencies that emerge during infancy, the preschool years, and the elementary school. I provide a brief overview of the evolution of children's conceptual knowledge of arithmetic knowledge, the acquisition and use of counting and how they solve simple arithmetic problems (e.g. 4 + 3).

  16. Educators' motivation on integration of ICTs into pedagogy: case of ...

    African Journals Online (AJOL)

    Educators' motivation on integration of ICTs into pedagogy: case of disadvantaged areas .... disciplines such as Information Sciences, Business and. Engineering, it has been noted ..... by a particular textbook. One has .... the ETHICS method.

  17. Devices and Desires: Integrative Strategy Instruction from a Motivational Perspective.

    Science.gov (United States)

    Vauras, Marja; And Others

    1993-01-01

    This critique of Edwin Ellis's Integrative Strategy Instruction model comments that analyses are needed concerning the mutual social adaptations of differently disposed (cognitively, motivationally, and emotionally) students with learning disabilities and teachers within the social frames of learning environments. (JDD)

  18. Adelic divisors on arithmetic varieties

    CERN Document Server

    Moriwaki, Atsushi

    2016-01-01

    In this article, the author generalizes several fundamental results for arithmetic divisors, such as the continuity of the volume function, the generalized Hodge index theorem, Fujita's approximation theorem for arithmetic divisors, Zariski decompositions for arithmetic divisors on arithmetic surfaces and a special case of Dirichlet's unit theorem on arithmetic varieties, to the case of the adelic arithmetic divisors.

  19. CORPORATIVE MOTIVES ON IMPLEMENTATION OF INTEGRATED MANAGEMENT SYSTEM (IMS

    Directory of Open Access Journals (Sweden)

    Dragan Rajkovic

    2009-09-01

    Full Text Available Integration of management systems for quality, environment, health and risk management as well as corporative social responsibilities is workable corporative approach to reduce costs, effective use of resources, higher motivation of employees and better fulfillment of requirements of social engagements and stakeholders. This paper presents contents of literature and review of a company motives on integrated management system (IMS implementation, namely factors affecting the IMS implementation.

  20. The roots of physics students' motivations: Fear and integrity

    Science.gov (United States)

    Van Dusen, Ben

    Too often, physics students are beset by feelings of failure and isolation rather than experiencing the creative joys of discovery that physics has to offer. This dissertation research was founded on the desire of a teacher to make physics class exciting and motivating to his students. This work explores how various aspects of learning environments interact with student motivation. This work uses qualitative and quantitative methods to explore how students are motivated to engage in physics and how they feel about themselves while engaging in physics. The collection of four studies in this dissertation culminates in a sociocultural perspective on motivation and identity. This perspective uses two extremes of how students experience physics as a lens for understanding motivation: fear and self-preservation versus integrity and self-expression. Rather than viewing motivation as a property of the student, or viewing students as inherently interested or disinterested in physics, the theoretical perspective on motivation and identity helps examine features of the learning environments that determine how students' experience themselves through physics class. This perspective highlights the importance of feeling a sense of belonging in the context of physics and the power that teachers have in shaping students' motivation through the construction of their classroom learning environments. Findings demonstrate how different ways that students experience themselves in physics class impact their performance and interest in physics. This dissertation concludes with a set of design principles that can foster integration and integrity among students in physics learning environments.

  1. Arithmetic noncommutative geometry

    CERN Document Server

    Marcolli, Matilde

    2005-01-01

    Arithmetic noncommutative geometry denotes the use of ideas and tools from the field of noncommutative geometry, to address questions and reinterpret in a new perspective results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at archimedean places of arithmetic surfaces and varieties. The main reason why noncommutative geometry can be expected to say something about topics of arithmetic interest lies in the fact that it provides the right framework in which the tools of geometry continue to make sense on spaces that are very singular and apparently very far from the world of algebraic varieties. This provides a way of refining the boundary structure of certain classes of spaces that arise in the context of arithmetic geometry, such as moduli spaces (of which modular curves are the simplest case) or arithmetic varieties (completed by suitable "fibers at infinity"), by adding boundaries...

  2. Development of arithmetical abilities

    Directory of Open Access Journals (Sweden)

    Tatjana Levstek

    2014-02-01

    Full Text Available Arithmetic (from the word 'arithmos' which means 'numbers' is an elementary branch of mathematics. Numeracy is essential for understanding mathematics, so the development of arithmetic abilities has been an area of scientific research for a long time. Recent research has shown that the development of arithmetic abilities is not based only on gaining experience and learning. Some arithmetic abilities, especially the sense of quantity, are innate. Even babies are able to distinguish between groups with different number of elements and they perceive numeracy amodally. Six-month-olds distinguish between two groups with the numeracy ratio of 1 : 2. With age this ratio improves rapidly. Five-year-old children already distinguish between groups with the number ratio 7 : 8. The ability to compare two quantities begins to develop after 15 months of age and children learn how to count spontaneously, together with the acquisition of language. Speech enables children to understand number in its abstract, symbolic sense, thus opening the way to symbolic arithmetic. During the preschool period children use intuition when doing calculations, but in school the arithmetic is based on the knowledge of arithmetical algorithms. So, in order to acquire mathematical knowledge, it is necessary to incorporate memory and automate arithmetical processes, without the use of intuition. However, research has shown that intuition is very important and is even a predictive factor for the development of mathematical abilities throughout the schooling process.

  3. Curiosities of arithmetic gases

    International Nuclear Information System (INIS)

    Bakas, I.; Bowick, M.J.

    1991-01-01

    Statistical mechanical systems with an exponential density of states are considered. The arithmetic analog of parafermions of arbitrary order is constructed and a formula for boson-parafermion equivalence is obtained using properties of the Riemann zeta function. Interactions (nontrivial mixing) among arithmetic gases using the concept of twisted convolutions are also introduced. Examples of exactly solvable models are discussed in detail

  4. Employee commitment and motivation: a conceptual analysis and integrative model.

    Science.gov (United States)

    Myer, John P; Becker, Thomas E; Vandenberghe, Christian

    2004-12-01

    Theorists and researchers interested in employee commitment and motivation have not made optimal use of each other's work. Commitment researchers seldom address the motivational processes through which commitment affects behavior, and motivation researchers have not recognized important distinctions in the forms, foci, and bases of commitment. To encourage greater cross-fertilization, the authors present an integrative framework in which commitment is presented as one of several energizing forces for motivated behavior. E. A. Locke's (1997) model of the work motivation process and J. P. Meyer and L. Herscovitch's (2001) model of workplace commitments serve as the foundation for the development of this new framework. To facilitate the merger, a new concept, goal regulation, is derived from self-determination theory (E. L. Deci & R. M. Ryan, 1985) and regulatory focus theory (E. I. Higgins, 1997). By including goal regulation, it is acknowledged that motivated behavior can be accompanied by different mindsets that have particularly important implications for the explanation and prediction of discretionary work behavior. 2004 APA, all rights reserved

  5. Matrix inequalities for the difference between arithmetic mean and harmonic mean

    OpenAIRE

    Liao, Wenshi; Wu, Junliang

    2015-01-01

    Motivated by the refinements and reverses of arithmetic-geometric mean and arithmetic-harmonic mean inequalities for scalars and matrices, in this article, we generalize the scalar and matrix inequalities for the difference between arithmetic mean and harmonic mean. In addition, relevant inequalities for the Hilbert-Schmidt norm and determinant are established.

  6. Optical modular arithmetic

    Science.gov (United States)

    Pavlichin, Dmitri S.; Mabuchi, Hideo

    2014-06-01

    Nanoscale integrated photonic devices and circuits offer a path to ultra-low power computation at the few-photon level. Here we propose an optical circuit that performs a ubiquitous operation: the controlled, random-access readout of a collection of stored memory phases or, equivalently, the computation of the inner product of a vector of phases with a binary selector" vector, where the arithmetic is done modulo 2pi and the result is encoded in the phase of a coherent field. This circuit, a collection of cascaded interferometers driven by a coherent input field, demonstrates the use of coherence as a computational resource, and of the use of recently-developed mathematical tools for modeling optical circuits with many coupled parts. The construction extends in a straightforward way to the computation of matrix-vector and matrix-matrix products, and, with the inclusion of an optical feedback loop, to the computation of a weighted" readout of stored memory phases. We note some applications of these circuits for error correction and for computing tasks requiring fast vector inner products, e.g. statistical classification and some machine learning algorithms.

  7. Arithmetic geometry over global function fields

    CERN Document Server

    Longhi, Ignazio; Trihan, Fabien

    2014-01-01

    This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009–2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the con...

  8. A development of an accelerator board dedicated for multi-precision arithmetic operations and its application to Feynman loop integrals

    International Nuclear Information System (INIS)

    Motoki, S; Ishikawa, T; Yuasa, F; Daisaka, H; Nakasato, N; Fukushige, T; Kawai, A; Makino, J

    2015-01-01

    Higher order corrections in perturbative quantum field theory are required for precise theoretical analysis to investigate new physics beyond the Standard Model. This indicates that we need to evaluate Feynman loop diagrams with multi-loop integrals which may require multi-precision calculation. We developed a dedicated accelerator system for multiprecision calculations (GRAPE9-MPX). We present performance results of our system for the case of Feynman two-loop box and three-loop selfenergy diagrams with multi-precision. (paper)

  9. Consumer motivation towards purchasing fruit from integrated production in Belgium.

    Science.gov (United States)

    Vannoppen, J; Verbeke, W; Van Huylenbroeck, G

    2001-01-01

    Consumer concerns about food safety have been steadily growing during the last decade. Along with the recognition of the increasing power from the consumer side of food chains, this has forced agricultural producers to innovate and adapt their production methods. One of those developments is integrated production of pip fruit (IFP). This research analyses and presents motivational structures of consumers towards purchasing IP fruit in Belgium. The research methodology builds on means-end-chain (MEC) theory, with data collected through personal laddering interviews with consumers. A hierarchical value map, indicating motivational structures for farm shop purchase of IP-labelled apples, is presented. IP-apple buyers pursue typical values, with health being paramount. The findings reveal interactions between market channel characteristics and product attributes, including characteristics that refer to production methods. Also, the study shows how outlet choice influences the perception and the motivation structure of the respondents for the specific product, fresh fruit in this case. From the findings, two sets of implications are set forth. First, marketing implications pertaining to advertising through the application of the "Means-End Conceptualization of the Components of Advertising Strategy" or MECCAS model. Second, implications to producers with respect to adapting their production methods to the needs and wants of the present end consumers.

  10. Arithmetic of quantum entropy function

    International Nuclear Information System (INIS)

    Sen, Ashoke

    2009-01-01

    Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the Hilbert space in a dual quantum mechanics. We show that in N = 4 supersymmetric string theories, quantum entropy function formalism naturally explains the origin of the subtle differences between the microscopic degeneracies of quarter BPS dyons carrying different torsion, i.e. different arithmetical properties. These arise from additional saddle points in the path integral - whose existence depends on the arithmetical properties of the black hole charges - constructed as freely acting orbifolds of the original AdS 2 x S 2 near horizon geometry. During this analysis we demonstrate that the quantum entropy function is insensitive to the details of the infrared cutoff used in the computation, and the details of the boundary terms added to the action. We also discuss the role of the asymptotic symmetries of AdS 2 in carrying out the path integral in the definition of quantum entropy function. Finally we show that even though quantum entropy function is expected to compute the absolute degeneracy in a given charge and angular momentum sector, it can also be used to compute the index. This can then be compared with the microscopic computation of the index.

  11. Incorporating "motivation" into the functional analysis of challenging behavior: on the interactive and integrative potential of the motivating operation.

    Science.gov (United States)

    Langthorne, Paul; McGill, Peter; O'Reilly, Mark

    2007-07-01

    Sensitivity theory attempts to account for the variability often observed in challenging behavior by recourse to the "aberrant motivation" of people with intellectual and developmental disabilities. In this article, we suggest that a functional analysis based on environmental (challenging environments) and biological (challenging needs) motivating operations provides a more parsimonious and empirically grounded account of challenging behavior than that proposed by sensitivity theory. It is argued that the concept of the motivating operation provides a means of integrating diverse strands of research without the undue inference of mentalistic constructs. An integrated model of challenging behavior is proposed, one that remains compatible with the central tenets of functional analysis.

  12. Integrated information in discrete dynamical systems: motivation and theoretical framework.

    Directory of Open Access Journals (Sweden)

    David Balduzzi

    2008-06-01

    Full Text Available This paper introduces a time- and state-dependent measure of integrated information, phi, which captures the repertoire of causal states available to a system as a whole. Specifically, phi quantifies how much information is generated (uncertainty is reduced when a system enters a particular state through causal interactions among its elements, above and beyond the information generated independently by its parts. Such mathematical characterization is motivated by the observation that integrated information captures two key phenomenological properties of consciousness: (i there is a large repertoire of conscious experiences so that, when one particular experience occurs, it generates a large amount of information by ruling out all the others; and (ii this information is integrated, in that each experience appears as a whole that cannot be decomposed into independent parts. This paper extends previous work on stationary systems and applies integrated information to discrete networks as a function of their dynamics and causal architecture. An analysis of basic examples indicates the following: (i phi varies depending on the state entered by a network, being higher if active and inactive elements are balanced and lower if the network is inactive or hyperactive. (ii phi varies for systems with identical or similar surface dynamics depending on the underlying causal architecture, being low for systems that merely copy or replay activity states. (iii phi varies as a function of network architecture. High phi values can be obtained by architectures that conjoin functional specialization with functional integration. Strictly modular and homogeneous systems cannot generate high phi because the former lack integration, whereas the latter lack information. Feedforward and lattice architectures are capable of generating high phi but are inefficient. (iv In Hopfield networks, phi is low for attractor states and neutral states, but increases if the networks

  13. Integrated information in discrete dynamical systems: motivation and theoretical framework.

    Science.gov (United States)

    Balduzzi, David; Tononi, Giulio

    2008-06-13

    This paper introduces a time- and state-dependent measure of integrated information, phi, which captures the repertoire of causal states available to a system as a whole. Specifically, phi quantifies how much information is generated (uncertainty is reduced) when a system enters a particular state through causal interactions among its elements, above and beyond the information generated independently by its parts. Such mathematical characterization is motivated by the observation that integrated information captures two key phenomenological properties of consciousness: (i) there is a large repertoire of conscious experiences so that, when one particular experience occurs, it generates a large amount of information by ruling out all the others; and (ii) this information is integrated, in that each experience appears as a whole that cannot be decomposed into independent parts. This paper extends previous work on stationary systems and applies integrated information to discrete networks as a function of their dynamics and causal architecture. An analysis of basic examples indicates the following: (i) phi varies depending on the state entered by a network, being higher if active and inactive elements are balanced and lower if the network is inactive or hyperactive. (ii) phi varies for systems with identical or similar surface dynamics depending on the underlying causal architecture, being low for systems that merely copy or replay activity states. (iii) phi varies as a function of network architecture. High phi values can be obtained by architectures that conjoin functional specialization with functional integration. Strictly modular and homogeneous systems cannot generate high phi because the former lack integration, whereas the latter lack information. Feedforward and lattice architectures are capable of generating high phi but are inefficient. (iv) In Hopfield networks, phi is low for attractor states and neutral states, but increases if the networks are optimized

  14. Towards an arithmetical logic the arithmetical foundations of logic

    CERN Document Server

    Gauthier, Yvon

    2015-01-01

    This book offers an original contribution to the foundations of logic and mathematics, and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic, and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of l...

  15. Arithmetic circuits for DSP applications

    CERN Document Server

    Stouraitis, Thanos

    2017-01-01

    Arithmetic Circuits for DSP Applications is a complete resource on arithmetic circuits for digital signal processing (DSP). It covers the key concepts, designs and developments of different types of arithmetic circuits, which can be used for improving the efficiency of implementation of a multitude of DSP applications. Each chapter includes various applications of the respective class of arithmetic circuits along with information on the future scope of research. Written for students, engineers, and researchers in electrical and computer engineering, this comprehensive text offers a clear understanding of different types of arithmetic circuits used for digital signal processing applications. The text includes contributions from noted researchers on a wide range of topics, including a review o circuits used in implementing basic operations like additions and multiplications; distributed arithmetic as a technique for the multiplier-less implementation of inner products for DSP applications; discussions on look ...

  16. Sets with Prescribed Arithmetic Densities

    Czech Academy of Sciences Publication Activity Database

    Luca, F.; Pomerance, C.; Porubský, Štefan

    2008-01-01

    Roč. 3, č. 2 (2008), s. 67-80 ISSN 1336-913X R&D Projects: GA ČR GA201/07/0191 Institutional research plan: CEZ:AV0Z10300504 Keywords : generalized arithmetic density * generalized asymptotic density * generalized logarithmic density * arithmetical semigroup * weighted arithmetic mean * ratio set * R-dense set * Axiom A * delta-regularly varying function Subject RIV: BA - General Mathematics

  17. Digital Arithmetic: Division Algorithms

    DEFF Research Database (Denmark)

    Montuschi, Paolo; Nannarelli, Alberto

    2017-01-01

    Division is one of the basic arithmetic operations supported by every computer system. The operation can be performed and implemented by either hardware or software, or by a combination of the two. Although division is not as frequent as addition and multiplication, nowadays, most processors impl...... significant hardware resources and is more suitable for software implementation on the existing multiply units. The purpose of this entry is to provide an introductory survey using a presentation style suitable for the interested non-specialist readers as well....

  18. Introduction to cardinal arithmetic

    CERN Document Server

    Holz, M; Weitz, E

    1999-01-01

    This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.Reviews:'The authors aim their text at beginners in set theory. They start

  19. Conceptual Knowledge of Fraction Arithmetic

    Science.gov (United States)

    Siegler, Robert S.; Lortie-Forgues, Hugues

    2015-01-01

    Understanding an arithmetic operation implies, at minimum, knowing the direction of effects that the operation produces. However, many children and adults, even those who execute arithmetic procedures correctly, may lack this knowledge on some operations and types of numbers. To test this hypothesis, we presented preservice teachers (Study 1),…

  20. Conceptual Knowledge of Decimal Arithmetic

    Science.gov (United States)

    Lortie-Forgues, Hugues; Siegler, Robert S.

    2017-01-01

    In 2 studies (Ns = 55 and 54), the authors examined a basic form of conceptual understanding of rational number arithmetic, the direction of effect of decimal arithmetic operations, at a level of detail useful for informing instruction. Middle school students were presented tasks examining knowledge of the direction of effects (e.g., "True or…

  1. Arithmetic soft-core accelerators

    NARCIS (Netherlands)

    Calderon Rocabado, D.R.H.

    2007-01-01

    In this dissertation, we address the design of multi-functional arithmetic units working with the most common fixed-point number representations, namely: unsigned, sign-magnitude, fractional, ten's and two's complement notations. The main design goal is to collapse multiple complex arithmetic

  2. Educators' motivation on integration of ICTs into pedagogy: case of ...

    African Journals Online (AJOL)

    This paper investigates factors that motivate educators to use Information Communication Technologies (ICTs) in schools in disadvantaged areas. The study employed Herzberg' Motivation–Hygiene theory to guide the process of understanding the factors that motivate or demotivate educators when using the technology for ...

  3. Algebra 1 groups, rings, fields and arithmetic

    CERN Document Server

    Lal, Ramji

    2017-01-01

    This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.

  4. Motivation.

    Science.gov (United States)

    Chambers, David W

    2007-01-01

    Motivation is short-term focused energy. The oldest theories of motivation explain motivated activity as effort to overcome primary deficiencies, such as hunger or boredom. Such theories are difficult to apply because individuals learn idiosyncratic secondary motives as alternative ways of responding to these needs. Three prominent needs theories are discussed: Herzberg's theory of hygiene and motivational factors; McClelland's needs for achievement, power, and affiliation; and Maslow's hierarchy and theory of self-actualization. A second approach to motivation holds that individuals may be thought of as engaging in rational processes to maximize their self-interests. The presented examples of this approach include Vroom's expectancy theory, Adam's theory of inequality, and the Porter-Lawler model that addresses the question of whether satisfaction leads to high performance or vice versa. Finally, several theories of motivation as life orientation are developed.

  5. Student’s learning: Instrumentally, Integratively or Personally Motivated?

    OpenAIRE

    Somariah Fitriani

    2017-01-01

    The study focuses on learners’ motivation to learn English as L2/foreign language. For data collection, questionnaire was distributed to 82 respondents of STIBA IEC Jakarta via whatsApp and face book messenger. In addition, interviews were also conducted to find out the detail information about the role of teacher and inspirational/motivational teacher. For data analysis, the step of sorting, classifying, coding, and presenting the data and drawing conclusion was adopted.  This is a research ...

  6. Integrating motivational interviewing and narrative therapy to teach behavior change to family medicine resident physicians.

    Science.gov (United States)

    Oshman, Lauren D; Combs, Gene N

    2016-05-01

    Motivational interviewing is a useful skill to address the common problem of patient ambivalence regarding behavior change by uncovering and strengthening a person's own motivation and commitment to change. The Family Medicine Milestones underline the need for clear teaching and monitoring of skills in communication and behavior change in Family Medicine postgraduate training settings. This article reports the integration of a motivational interviewing curriculum into an existing longitudinal narrative therapy-based curriculum on patient-centered communication. Observed structured clinical examination for six participants indicate that intern physicians are able to demonstrate moderate motivational interviewing skill after a brief 2-h workshop. Participant self-evaluations for 16 participants suggest a brief 2-h curriculum was helpful at increasing importance of learning motivational interviewing by participants, and that participants desire further training opportunities. A brief motivational interviewing curriculum can be integrated into existing communication training in a Family Medicine residency training program. © The Author(s) 2016.

  7. Models of misbelief: Integrating motivational and deficit theories of delusions.

    Science.gov (United States)

    McKay, Ryan; Langdon, Robyn; Coltheart, Max

    2007-12-01

    The impact of our desires and preferences upon our ordinary, everyday beliefs is well-documented [Gilovich, T. (1991). How we know what isn't so: The fallibility of human reason in everyday life. New York: The Free Press.]. The influence of such motivational factors on delusions, which are instances of pathological misbelief, has tended however to be neglected by certain prevailing models of delusion formation and maintenance. This paper explores a distinction between two general classes of theoretical explanation for delusions; the motivational and the deficit. Motivational approaches view delusions as extreme instances of self-deception; as defensive attempts to relieve pain and distress. Deficit approaches, in contrast, view delusions as the consequence of defects in the normal functioning of belief mechanisms, underpinned by neuroanatomical or neurophysiological abnormalities. It is argued that although there are good reasons to be sceptical of motivational theories (particularly in their more floridly psychodynamic manifestations), recent experiments confirm that motives are important causal forces where delusions are concerned. It is therefore concluded that the most comprehensive account of delusions will involve a theoretical unification of both motivational and deficit approaches.

  8. Addiction, adolescence, and the integration of control and motivation.

    Science.gov (United States)

    Gladwin, Thomas E; Figner, Bernd; Crone, Eveline A; Wiers, Reinout W

    2011-10-01

    The likelihood of initiating addictive behaviors is higher during adolescence than during any other developmental period. The differential developmental trajectories of brain regions involved in motivation and control processes may lead to adolescents' increased risk taking in general, which may be exacerbated by the neural consequences of drug use. Neuroimaging studies suggest that increased risk-taking behavior in adolescence is related to an imbalance between prefrontal cortical regions, associated with executive functions, and subcortical brain regions related to affect and motivation. Dual-process models of addictive behaviors are similarly concerned with difficulties in controlling abnormally strong motivational processes. We acknowledge concerns raised about dual-process models, but argue that they can be addressed by carefully considering levels of description: motivational processes and top-down biasing can be understood as intertwined, co-developing components of more versus less reflective states of processing. We illustrate this with a model that further emphasizes temporal dynamics. Finally, behavioral interventions for addiction are discussed. Insights in the development of control and motivation may help to better understand - and more efficiently intervene in - vulnerabilities involving control and motivation. Copyright © 2011 Elsevier Ltd. All rights reserved.

  9. Arithmetic the foundation of mathematics

    CERN Document Server

    2015-01-01

    Arithmetic factors into our lives on a daily basis, so it's hard to imagine a world without the six basic operations: addition, subtraction, multiplication, division, raising to powers, and finding roots. Readers will get a solid overview of arithmetic, while offering useful examples of how they are used in routine activities, such as social media applications. It reinforces Common Core math standards, including understanding basic math concepts and how they apply to students' daily lives and challenges. A history of arithmetic helps provide a contextual framework for the course of its develop

  10. Computer arithmetic and validity theory, implementation, and applications

    CERN Document Server

    Kulisch, Ulrich

    2013-01-01

    This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic capability of the computer can be enhanced. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties

  11. Integrating Motivational Interviewing and Brief Behavioral Activation Therapy: Theoretical and Practical Considerations

    OpenAIRE

    Balán, Iván C.; Lejuez, C. W.; Hoffer, Marcela; Blanco, Carlos

    2016-01-01

    Behavioral Activation and specifically the Brief Behavioral Activation Therapy for Depression (BATD) has a strong record of empirical support but its focus on practical out of session activation-based assignments can lead to poor levels of adherence if efforts to enhance motivation are not prioritized. Towards this end, this manuscript describes the assimilative integration of Motivational Interviewing (MI) and BATD to improve clinical outcomes by integrating MI's focus on building and mainta...

  12. Employee Selection Process: Integrating Employee Needs and Employer Motivators.

    Science.gov (United States)

    Carroll, Brian J.

    1989-01-01

    Offers suggestions for managers relative to the employee selection process, focusing on the identification of a potential employee's needs and the employer's motivators that affect employee productivity. Discusses the use of a preemployment survey and offers a questionnaire that allows matching of the employee's needs with employment…

  13. Preservice Teachers' Beliefs, Attitudes, and Motivation about Technology Integration

    Science.gov (United States)

    Cullen, Theresa A.; Greene, Barbara A.

    2011-01-01

    The Theory of Planned Behavior was used as a framework, along with Self-Determination Theory, to examine preservice teachers' motivation to include technology in their future teaching. We modified instruments to measure theoretical constructs to be applied to plans for the use of technology. Measured were: perceived behavioral control, attitudes…

  14. Addiction, adolescence, and the integration of motivation and control

    NARCIS (Netherlands)

    Gladwin, T.E.; Figner, B.; Crone, E.A.; Wiers, R.W.H.J.

    2011-01-01

    The likelihood of initiating addictive behaviors is higher during adolescence than during any other developmental period. The differential developmental trajectories of brain regions involved in motivation and control processes may lead to adolescents’ increased risk taking in general, which may be

  15. Addiction, adolescence, and the integration of control and motivation

    NARCIS (Netherlands)

    Gladwin, T.E.; Figner, B.; Crone, E.A.; Wiers, R.W.

    2011-01-01

    The likelihood of initiating addictive behaviors is higher during adolescence than during any other developmental period. The differential developmental trajectories of brain regions involved in motivation and control processes may lead to adolescents’ increased risk taking in general, which may be

  16. Integrative research on environmental and landscape change: PhD students' motivations and challenges.

    Science.gov (United States)

    Tress, Bärbel; Tress, Gunther; Fry, Gary

    2009-07-01

    The growing demand for integrative (interdisciplinary or transdisciplinary) approaches in the field of environmental and landscape change has increased the number of PhD students working in this area. Yet, the motivations to join integrative projects and the challenges for PhD students have so far not been investigated. The aims of this paper were to identify the understanding of PhD students with regard to integrative research, their motivations to join integrative projects, their expectations in terms of integration and results, and to reveal the challenges they face in integrative projects. We collected data by a questionnaire survey of 104 PhD students attending five PhD Master Classes held from 2003 to 2006. We used manual content analysis to analyse the free-text answers. The results revealed that students lack a differentiated understanding of integrative approaches. The main motivations to join integrative projects were the dissertation subject, the practical relevance of the project, the intellectual stimulation of working with different disciplines, and the belief that integrative research is more innovative. Expectations in terms of integration were high. Core challenges for integration included intellectual and external challenges such as lack of knowledge of other disciplines, knowledge transfer, reaching depth, supervision, lack of exchange with other students and time demands. To improve the situation for PhD students, we suggest improving knowledge on integrative approaches, balancing practical applicability with theoretical advancement, providing formal introductions to other fields of research, and enhancing institutional support for integrative PhD projects.

  17. Strategies and motives for resistance to persuasion: an integrative framework

    Science.gov (United States)

    Fransen, Marieke L.; Smit, Edith G.; Verlegh, Peeter W. J.

    2015-01-01

    Persuasion is an important element of human communication. But in many situations, we resist rather than embrace persuasive attempts. Resistance to persuasion has been studied in many different disciplines, including communication science, psychology, and marketing. The present paper reviews and connects these diverse literatures, and provides an organizing framework for understanding and studying resistance. Four clusters of resistance strategies are defined (avoidance, contesting, biased processing, and empowerment), and these clusters are related to different motivations for resisting persuasion (threat to freedom, reluctance to change, and concerns of deception). We propose that, while avoidance strategies may be triggered by any of these motivations, contesting strategies are linked primarily to concerns of deception, while empowerment and biased processing strategies are most common when people are reluctant to change. PMID:26322006

  18. New technological design of arithmetics

    International Nuclear Information System (INIS)

    Hanitriarivo, R.

    2008-01-01

    There are illogical and irrational rules in numbers writing and pronunciation in almost of languages. A part of the aim is to show the electronic applications possibility of logical and systematic rules which are proposed by Raoelina Andriambololona to write and pronounce numbers; we had studied and created the arithmetic operations representation corresponding in binary basis and in hexadecimal basis. The brand new found concept corresponds as well as the method which uses the matrix product calculation, in according with the writing and the pronunciation of numbers. It was shown how to concept the arithmetic operators in digital electronics; and we proposed and assumed to make headway and to do amelioration for technical conception of calculator and arithmetic unite those are at the basic function of all computers and almost domestic sophisticated machine. The left hand side- right hand side and increasing order writing of number is exploited to build a new computer programming for a scientific calculator. [fr

  19. Arithmetic learning in advanced age.

    Science.gov (United States)

    Zamarian, Laura; Scherfler, Christoph; Kremser, Christian; Pertl, Marie-Theres; Gizewski, Elke; Benke, Thomas; Delazer, Margarete

    2018-01-01

    Acquisition of numerical knowledge and understanding of numerical information are crucial for coping with the changing demands of our digital society. In this study, we assessed arithmetic learning in older and younger individuals in a training experiment including brain imaging. In particular, we assessed age-related effects of training intensity, prior arithmetic competence, and neuropsychological variables on the acquisition of new arithmetic knowledge and on the transfer to new, unknown problems. Effects were assessed immediately after training and after 3 months. Behavioural results showed higher training effects for younger individuals than for older individuals and significantly better performance after 90 problem repetitions than after 30 repetitions in both age groups. A correlation analysis indicated that older adults with lower memory and executive functions at baseline could profit more from intensive training. Similarly, training effects in the younger group were higher for those individuals who had lower arithmetic competence and executive functions prior to intervention. In younger adults, successful transfer was associated with higher executive functions. Memory and set-shifting emerged as significant predictors of training effects in the older group. For the younger group, prior arithmetic competence was a significant predictor of training effects, while cognitive flexibility was a predictor of transfer effects. After training, a subgroup of participants underwent an MRI assessment. A voxel-based morphometry analysis showed a significant interaction between training effects and grey matter volume of the right middle temporal gyrus extending to the angular gyrus for the younger group relative to the older group. The reverse contrast (older group vs. younger group) did not yield any significant results. These results suggest that improvements in arithmetic competence are supported by temporo-parietal areas in the right hemisphere in younger

  20. Trace formulae for arithmetical systems

    International Nuclear Information System (INIS)

    Bogomolny, E.B.; Georgeot, B.; Giannoni, M.J.; Schmit, C.

    1992-09-01

    For quantum problems on the pseudo-sphere generated by arithmetic groups there exist special trace formulae, called trace formulae for Hecke operators, which permit the reconstruction of wave functions from the knowledge of periodic orbits. After a short discussion of this subject, the Hecke operators trace formulae are presented for the Dirichlet problem on the modular billiard, which is a prototype of arithmetical systems. The results of numerical computations for these semiclassical type relations are in good agreement with the directly computed eigenfunctions. (author) 23 refs.; 2 figs

  1. Face Recognition using Approximate Arithmetic

    DEFF Research Database (Denmark)

    Marso, Karol

    Face recognition is image processing technique which aims to identify human faces and found its use in various different fields for example in security. Throughout the years this field evolved and there are many approaches and many different algorithms which aim to make the face recognition as effective...... processing applications the results do not need to be completely precise and use of the approximate arithmetic can lead to reduction in terms of delay, space and power consumption. In this paper we examine possible use of approximate arithmetic in face recognition using Eigenfaces algorithm....

  2. Solutions to Arithmetic Convolution Equations

    Czech Academy of Sciences Publication Activity Database

    Glöckner, H.; Lucht, L.G.; Porubský, Štefan

    2007-01-01

    Roč. 135, č. 6 (2007), s. 1619-1629 ISSN 0002-9939 R&D Projects: GA ČR GA201/04/0381 Institutional research plan: CEZ:AV0Z10300504 Keywords : arithmetic functions * Dirichlet convolution * polynomial equations * analytic equations * topological algebras * holomorphic functional calculus Subject RIV: BA - General Mathematics Impact factor: 0.520, year: 2007

  3. Some arithmetically symmetrical bandpass filters

    Science.gov (United States)

    Paranasi, P.; Roy, S. C. D.

    1981-01-01

    A combination of the conventional and Matthaei lowpass-bandpass transformations is shown to result in some bandpass filters having very good arithmetic symmetry. The technique presented is applicable to the Butterworth and inverse Chebyshev types of magnitude approximations and the Bessel type of delay approximations. It is not valid, however, for the Chebyshev and elliptic varieties of filters.

  4. Equations for arithmetic pointed tori

    NARCIS (Netherlands)

    Sijsling, J.R.

    2010-01-01

    In 1983, Kisao Takeuchi enumerated all 71 arithmetic (1;e)-groups. This is a special set of discrete subgroups of SL(2,R) of finite covolume and signature (1;e). The corresponding quotients of the upper half plane (called (1;e)-curves) have genus equal to 1 and a single elliptic point of order e.

  5. Groups and fields in arithmetic

    NARCIS (Netherlands)

    Kosters, Michiel F.

    2014-01-01

    This thesis consists of 8 chapters in which we discuss various aspects of arithmetic. In the first chapter, we give an introduction to the algebraic theory of valued fields. In the second chapter, we give an introduction to the theory of normal projective curves. In particular, we study curves over

  6. Rewrite systems for integer arithmetic

    NARCIS (Netherlands)

    H.R. Walters (Pum); H. Zantema (Hans)

    1995-01-01

    textabstractWe present three term rewrite systems for integer arithmetic with addition, multiplication, and, in two cases, subtraction. All systems are ground confluent and terminating; termination is proved by semantic labelling and recursive path order. The first system represents numbers by

  7. Rewrite systems for integer arithmetic

    NARCIS (Netherlands)

    Walters, H.R.; Zantema, H.

    1994-01-01

    We present three term rewrite systems for integer arithmetic with addition, multiplication, and, in two cases, subtraction. All systems are ground con uent and terminating; termination is proved by semantic labelling and recursive path order. The first system represents numbers by successor and

  8. Perceiving fingers in single-digit arithmetic problems

    Directory of Open Access Journals (Sweden)

    Ilaria eBerteletti

    2015-03-01

    Full Text Available In this study, we investigate in children the neural underpinnings of finger representation and finger movement involved in single-digit arithmetic problems. Evidence suggests that finger representation and finger-based strategies play an important role in learning and understanding arithmetic. Because different operations rely on different networks, we compared activation for subtraction and multiplication problems in independently localized finger somatosensory and motor areas and tested whether activation was related to skill. Brain activations from children between 8 and 13 years of age revealed that only subtraction problems significantly activated finger motor areas, suggesting reliance on finger-based strategies. In addition, larger subtraction problems yielded greater somatosensory activation than smaller problems, suggesting a greater reliance on finger representation for larger numerical values. Interestingly, better performance in subtraction problems was associated with lower activation in the finger somatosensory area. Our results support the importance of fine-grained finger representation in arithmetical skill and are the first neurological evidence for a functional role of the somatosensory finger area in proficient arithmetical problem solving, in particular for those problems requiring quantity manipulation. From an educational perspective, these results encourage investigating whether different finger-based strategies facilitate arithmetical understanding and encourage educational practices aiming at integrating finger representation and finger-based strategies as a tool for instilling stronger numerical sense.

  9. Perceiving fingers in single-digit arithmetic problems.

    Science.gov (United States)

    Berteletti, Ilaria; Booth, James R

    2015-01-01

    In this study, we investigate in children the neural underpinnings of finger representation and finger movement involved in single-digit arithmetic problems. Evidence suggests that finger representation and finger-based strategies play an important role in learning and understanding arithmetic. Because different operations rely on different networks, we compared activation for subtraction and multiplication problems in independently localized finger somatosensory and motor areas and tested whether activation was related to skill. Brain activations from children between 8 and 13 years of age revealed that only subtraction problems significantly activated finger motor areas, suggesting reliance on finger-based strategies. In addition, larger subtraction problems yielded greater somatosensory activation than smaller problems, suggesting a greater reliance on finger representation for larger numerical values. Interestingly, better performance in subtraction problems was associated with lower activation in the finger somatosensory area. Our results support the importance of fine-grained finger representation in arithmetical skill and are the first neurological evidence for a functional role of the somatosensory finger area in proficient arithmetical problem solving, in particular for those problems requiring quantity manipulation. From an educational perspective, these results encourage investigating whether different finger-based strategies facilitate arithmetical understanding and encourage educational practices aiming at integrating finger representation and finger-based strategies as a tool for instilling stronger numerical sense.

  10. Number processing and arithmetic skills in children with cochlear implants

    Directory of Open Access Journals (Sweden)

    Silvia ePixner

    2014-12-01

    Full Text Available Though previous findings report that hearing impaired children exhibit impaired language and arithmetic skills, our current understanding of how hearing and the associated language impairments may influence the development of arithmetic skills is still limited. In the current study numerical/arithmetic performance of 45 children with a cochlea implant were compared to that of controls matched for hearing age, intelligence and sex. Our main results were twofold disclosing that children with CI show general as well as specific numerical/arithmetic impairments. On the one hand, we found an increased percentage of children with CI with an indication of dyscalculia symptoms, a general slowing in multiplication and subtraction as well as less accurate number line estimations. On the other hand, however, children with CI exhibited very circumscribed difficulties associated with place-value processing. Performance declined specifically when subtraction required a borrow procedure and number line estimation required the integration of units, tens, and hundreds instead of only units and tens. Thus, it seems that despite initially atypical language development, children with CI are able to acquire arithmetic skills in a qualitatively similar fashion as their normal hearing peers. Nonetheless, when demands on place-value understanding, which has only recently been proposed to be language mediated, hearing impaired children experience specific difficulties.

  11. Integration of Information and Communication Technology and Pupils' Motivation in a Physical Education Setting

    Science.gov (United States)

    Legrain, Pascal; Gillet, Nicolas; Gernigon, Christophe; Lafreniere, Marc-André

    2015-01-01

    The purpose of this study was to test an integrative model regarding the impact of information and communication technology (ICT) on achievement in physical education. Pupils' perceptions of autonomy-support from teacher, satisfaction of basic psychological needs, and self-determined motivation were considered to mediate the impact of ICT on…

  12. Humans Integrate Monetary and Liquid Incentives to Motivate Cognitive Task Performance

    Directory of Open Access Journals (Sweden)

    Debbie Marianne Yee

    2016-01-01

    Full Text Available It is unequivocal that a wide variety of incentives can motivate behavior. However, few studies have explicitly examined whether and how different incentives are integrated in terms of their motivational influence. The current study examines the combined effects of monetary and liquid incentives on cognitive processing, and whether appetitive and aversive incentives have distinct influences. We introduce a novel task paradigm, in which participants perform cued task-switching for monetary rewards that vary parametrically across trials, with liquid incentives serving as post-trial performance feedback. Critically, the symbolic meaning of the liquid was held constant (indicating successful reward attainment, while liquid valence was blocked. In the first experiment, monetary rewards combined additively with appetitive liquid feedback to improve subject task performance. Aversive liquid feedback counteracted monetary reward effects in low monetary reward trials, particularly in a subset of participants who tended to avoid responding under these conditions. Self-report motivation ratings predicted behavioral performance above and beyond experimental effects. A follow-up experiment replicated the predictive power of motivation ratings even when only appetitive liquids were used, suggesting that ratings reflect idiosyncratic subjective values of, rather than categorical differences between, the liquid incentives. Together, the findings indicate an integrative relationship between primary and secondary incentives and potentially dissociable influences in modulating motivational value, while informing hypotheses regarding candidate neural mechanisms.

  13. How absent negativity relates to affect and motivation: an integrative relief model.

    Science.gov (United States)

    Deutsch, Roland; Smith, Kevin J M; Kordts-Freudinger, Robert; Reichardt, Regina

    2015-01-01

    The present paper concerns the motivational underpinnings and behavioral correlates of the prevention or stopping of negative stimulation - a situation referred to as relief. Relief is of great theoretical and applied interest. Theoretically, it is tied to theories linking affect, emotion, and motivational systems. Importantly, these theories make different predictions regarding the association between relief and motivational systems. Moreover, relief is a prototypical antecedent of counterfactual emotions, which involve specific cognitive processes compared to factual or mere anticipatory emotions. Practically, relief may be an important motivator of addictive and phobic behaviors, self destructive behaviors, and social influence. In the present paper, we will first provide a review of conflicting conceptualizations of relief. We will then present an integrative relief model (IRMO) that aims at resolving existing theoretical conflicts. We then review evidence relevant to distinctive predictions regarding the moderating role of various procedural features of relief situations. We conclude that our integrated model results in a better understanding of existing evidence on the affective and motivational underpinnings of relief, but that further evidence is needed to come to a more comprehensive evaluation of the viability of IRMO.

  14. How Absent Negativity Relates to Affect and Motivation: An Integrative Relief Model

    Directory of Open Access Journals (Sweden)

    Roland eDeutsch

    2015-03-01

    Full Text Available The present paper concerns the motivational underpinnings and behavioral correlates of the prevention or stopping of negative stimulation – a situation referred to as relief. Relief is of great theoretical and applied interest. Theoretically, it is tied to theories linking affect, emotion and motivational systems (Carver & Scheier, 1990; Gray & McNaughton, 2000; Higgins, 1997; Lang, Bradley, & Cuthbert, 1990. Importantly, these theories make different predictions regarding the association between relief and motivational systems. Moreover, relief is a prototypical antecedent of counterfactual emotions, which involve specific cognitive processes compared to factual or mere anticipatory emotions. Practically, relief may be an important motivator of addictive and phobic behaviors (Mowrer, 1951; Ostafin & Brooks, 2011, self destructive behaviors (Favazza, 1998; Franklin, Lee, Hanna, & Prinstein, 2013, and social influence (Dolinski & Nawrat, 1998. In the present paper, we will first provide a review of conflicting conceptualizations of relief. We will then present an integrative relief model (IRMO that aims at resolving existing theoretical conflicts. We then review evidence relevant to distinctive predictions regarding the moderating role of various procedural features of relief situations. We conclude that our integrated model results in a better understanding of existing evidence on the affective and motivational underpinnings of relief, but that further evidence is needed to come to a more comprehensive evaluation of the viability of IRMO.

  15. Humans Integrate Monetary and Liquid Incentives to Motivate Cognitive Task Performance

    Science.gov (United States)

    Yee, Debbie M.; Krug, Marie K.; Allen, Ariel Z.; Braver, Todd S.

    2016-01-01

    It is unequivocal that a wide variety of incentives can motivate behavior. However, few studies have explicitly examined whether and how different incentives are integrated in terms of their motivational influence. The current study examines the combined effects of monetary and liquid incentives on cognitive processing, and whether appetitive and aversive incentives have distinct influences. We introduce a novel task paradigm, in which participants perform cued task-switching for monetary rewards that vary parametrically across trials, with liquid incentives serving as post-trial performance feedback. Critically, the symbolic meaning of the liquid was held constant (indicating successful reward attainment), while liquid valence was blocked. In the first experiment, monetary rewards combined additively with appetitive liquid feedback to improve subject task performance. Aversive liquid feedback counteracted monetary reward effects in low monetary reward trials, particularly in a subset of participants who tended to avoid responding under these conditions. Self-report motivation ratings predicted behavioral performance above and beyond experimental effects. A follow-up experiment replicated the predictive power of motivation ratings even when only appetitive liquids were used, suggesting that ratings reflect idiosyncratic subjective values of, rather than categorical differences between, the liquid incentives. Together, the findings indicate an integrative relationship between primary and secondary incentives and potentially dissociable influences in modulating motivational value, while informing hypotheses regarding candidate neural mechanisms. PMID:26834668

  16. How absent negativity relates to affect and motivation: an integrative relief model

    Science.gov (United States)

    Deutsch, Roland; Smith, Kevin J. M.; Kordts-Freudinger, Robert; Reichardt, Regina

    2015-01-01

    The present paper concerns the motivational underpinnings and behavioral correlates of the prevention or stopping of negative stimulation – a situation referred to as relief. Relief is of great theoretical and applied interest. Theoretically, it is tied to theories linking affect, emotion, and motivational systems. Importantly, these theories make different predictions regarding the association between relief and motivational systems. Moreover, relief is a prototypical antecedent of counterfactual emotions, which involve specific cognitive processes compared to factual or mere anticipatory emotions. Practically, relief may be an important motivator of addictive and phobic behaviors, self destructive behaviors, and social influence. In the present paper, we will first provide a review of conflicting conceptualizations of relief. We will then present an integrative relief model (IRMO) that aims at resolving existing theoretical conflicts. We then review evidence relevant to distinctive predictions regarding the moderating role of various procedural features of relief situations. We conclude that our integrated model results in a better understanding of existing evidence on the affective and motivational underpinnings of relief, but that further evidence is needed to come to a more comprehensive evaluation of the viability of IRMO. PMID:25806008

  17. Motivation and intention to integrate physical activity into daily school life: the JAM World Record event.

    Science.gov (United States)

    Vazou, Spyridoula; Vlachopoulos, Symeon P

    2014-11-01

    Research on the motivation of stakeholders to integrate physical activity into daily school life is limited. The purpose was to examine the motivation of stakeholders to participate in a world record physical activity event and whether motivation was associated with future intention to use activity breaks during the daily school life and future participation in a similar event. After the 2012 JAM (Just-a-Minute) World Record event, 686 adults (591 women; 76.1% participated for children amotivation for participation in the next event were reported. Hierarchical regression analysis, controlling for age, gender, and occupation, showed that intrinsic forms of motivation positively predicted, whereas amotivation negatively predicted, future intention to participate in the event and use the activity breaks. Multivariate analyses of variance revealed that school-related participants were more intrinsically motivated and intended to use the activity breaks and repeat the event more than those who were not affiliated with a school. Nonschool participants reported higher extrinsic motivation and amotivation than school-related participants. © 2014 Society for Public Health Education.

  18. Integrating Problem-Based Learning and Simulation: Effects on Student Motivation and Life Skills.

    Science.gov (United States)

    Roh, Young Sook; Kim, Sang Suk

    2015-07-01

    Previous research has suggested that a teaching strategy integrating problem-based learning and simulation may be superior to traditional lecture. The purpose of this study was to assess learner motivation and life skills before and after taking a course involving problem-based learning and simulation. The design used repeated measures with a convenience sample of 83 second-year nursing students who completed the integrated course. Data from a self-administered questionnaire measuring learner motivation and life skills were collected at pretest, post-problem-based learning, and post-simulation time points. Repeated-measures analysis of variance determined that the mean scores for total learner motivation (F=6.62, P=.003), communication (F=8.27, Plearning (F=4.45, P=.016) differed significantly between time points. Post hoc tests using the Bonferroni correction revealed that total learner motivation and total life skills significantly increased both from pretest to postsimulation and from post-problem-based learning test to postsimulation test. Subscales of learner motivation and life skills, intrinsic goal orientation, self-efficacy for learning and performance, problem-solving skills, and self-directed learning skills significantly increased both from pretest to postsimulation test and from post-problem-based learning test to post-simulation test. The results demonstrate that an integrating problem-based learning and simulation course elicits significant improvement in learner motivation and life skills. Simulation plus problem-based learning is more effective than problem-based learning alone at increasing intrinsic goal orientation, task value, self-efficacy for learning and performance, problem solving, and self-directed learning.

  19. Substantial-Motivational Mechanism for Substantiation of Tolling Operations in Conditions of the European Integration

    OpenAIRE

    Melnyk Olga G; Kots Iryna I.

    2016-01-01

    The article is concerned with conceptualization of substance, distinguishing characteristics and motives of the implementation of tolling operations in conditions of the European integration. The study, based on the systematization and analysis of existing scientific approaches to definition of essence of tolling and tolling operations, has disclosed the dominating poli-positionality and ambiguity in this area. Economical autonomy of tolling operations has been determined, t...

  20. Memory updating and mental arithmetic

    Directory of Open Access Journals (Sweden)

    Cheng-Ching eHan

    2016-02-01

    Full Text Available Is domain-general memory updating ability predictive of calculation skills or are such skills better predicted by the capacity for updating specifically numerical information? Here, we used multidigit mental multiplication (MMM as a measure for calculating skill as this operation requires the accurate maintenance and updating of information in addition to skills needed for arithmetic more generally. In Experiment 1, we found that only individual differences with regard to a task updating numerical information following addition (MUcalc could predict the performance of MMM, perhaps owing to common elements between the task and MMM. In Experiment 2, new updating tasks were designed to clarify this: a spatial updating task with no numbers, a numerical task with no calculation, and a word task. The results showed that both MUcalc and the spatial task were able to predict the performance of MMM but only with the more difficult problems, while other updating tasks did not predict performance. It is concluded that relevant processes involved in updating the contents of working memory support mental arithmetic in adults.

  1. The role of individualist and collectivist orientations on self-determined motivation: integrating self-determination theory and group processes

    OpenAIRE

    Rentzelas, Panagiotis

    2009-01-01

    The main aim of this thesis was to examine the role of individualism and collectivism as situational group norms on intrinsic motivation. A further aim was to examine the effect of individual differences in individualist and collectivist orientations on the effect of autonomous motivation on intention and behaviour. This research integrated the concept of self-determined and intrinsic motivation as postulated in Self-Determination Theory (Deci & Ryan, 1985a, 2000,2002), individualism and coll...

  2. Numerical Magnitude Representations Influence Arithmetic Learning

    Science.gov (United States)

    Booth, Julie L.; Siegler, Robert S.

    2008-01-01

    This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…

  3. A Computational Model of Fraction Arithmetic

    Science.gov (United States)

    Braithwaite, David W.; Pyke, Aryn A.; Siegler, Robert S.

    2017-01-01

    Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…

  4. Baby Arithmetic: One Object Plus One Tone

    Science.gov (United States)

    Kobayashi, Tessei; Hiraki, Kazuo; Mugitani, Ryoko; Hasegawa, Toshikazu

    2004-01-01

    Recent studies using a violation-of-expectation task suggest that preverbal infants are capable of recognizing basic arithmetical operations involving visual objects. There is still debate, however, over whether their performance is based on any expectation of the arithmetical operations, or on a general perceptual tendency to prefer visually…

  5. An algorithm for the arithmetic classification of multilattices.

    Science.gov (United States)

    Indelicato, Giuliana

    2013-01-01

    A procedure for the construction and the classification of monoatomic multilattices in arbitrary dimension is developed. The algorithm allows one to determine the location of the points of all monoatomic multilattices with a given symmetry, or to determine whether two assigned multilattices are arithmetically equivalent. This approach is based on ideas from integral matrix theory, in particular the reduction to the Smith normal form, and can be coded to provide a classification software package.

  6. The Melanin-Concentrating Hormone as an Integrative Peptide Driving Motivated Behaviors.

    Science.gov (United States)

    Diniz, Giovanne B; Bittencourt, Jackson C

    2017-01-01

    The melanin-concentrating hormone (MCH) is an important peptide implicated in the control of motivated behaviors. History, however, made this peptide first known for its participation in the control of skin pigmentation, from which its name derives. In addition to this peripheral role, MCH is strongly implicated in motivated behaviors, such as feeding, drinking, mating and, more recently, maternal behavior. It is suggested that MCH acts as an integrative peptide, converging sensory information and contributing to a general arousal of the organism. In this review, we will discuss the various aspects of energy homeostasis to which MCH has been associated to, focusing on the different inputs that feed the MCH peptidergic system with information regarding the homeostatic status of the organism and the exogenous sensory information that drives this system, as well as the outputs that allow MCH to act over a wide range of homeostatic and behavioral controls, highlighting the available morphological and hodological aspects that underlie these integrative actions. Besides the well-described role of MCH in feeding behavior, a prime example of hypothalamic-mediated integration, we will also examine those functions in which the participation of MCH has not yet been extensively characterized, including sexual, maternal, and defensive behaviors. We also evaluated the available data on the distribution of MCH and its function in the context of animals in their natural environment. Finally, we briefly comment on the evidence for MCH acting as a coordinator between different modalities of motivated behaviors, highlighting the most pressing open questions that are open for investigations and that could provide us with important insights about hypothalamic-dependent homeostatic integration.

  7. There's nothing more practical than a good theory: integrating motivational interviewing and self-determination theory.

    Science.gov (United States)

    Vansteenkiste, Maarten; Sheldon, Kennon M

    2006-03-01

    In this article we compare and integrate two well-established approaches to motivating therapeutic change, namely self-determination theory (SDT; Deci & Ryan, 1985, ) and motivational interviewing (MI; Miller & Rollnick, 1991, ). We show that SDT's theoretical focus on the internalization of therapeutic change and on the issue of need-satisfaction is fully compatible with key principles and clinical strategies within MI. We further suggest that basic need-satisfaction might be an important mechanism accounting for the positive effects of MI. Conversely, MI principles may provide SDT researchers with new insight into the application of SDT's theoretical concept of autonomy-support, and suggest new ways of testing and developing SDT. In short, the applied approach of MI and the theoretical approach of SDT might be fruitfully married, to the benefit of both.

  8. The arithmetic of supersymmetric vacua

    Energy Technology Data Exchange (ETDEWEB)

    Bourget, Antoine; Troost, Jan [Laboratoire de Physique Théorique de l’École Normale Supérieure, CNRS, PSL Research University, Sorbonne Universités,75005 Paris (France)

    2016-07-07

    We provide explicit formulas for the number of vacua of four-dimensional pure N=1 super Yang-Mills theories on a circle, with any simple gauge algebra and any choice of center and spectrum of line operators. The formula for the (SU(N)/ℤ{sub m}){sub n} theory is a key ingredient in the semi-classical calculation of the number of massive vacua of N=1{sup ∗} gauge theories with gauge algebra su(n), compactified on a circle. Using arithmetic, we express that number in an SL(2,ℤ) duality invariant manner. We confirm our tally of massive vacua of the N=1{sup ∗} theories by a count of inequivalent extrema of the exact superpotential.

  9. Corporate Motivation for Integrated Management System Implementation, Why do Firms Engage in Integration of Management Systems: A Literature Review & Research Agenda

    NARCIS (Netherlands)

    Asif, M.; Asif, M.; de Bruijn, E.J.; Fisscher, O.A.M.

    2008-01-01

    Integration of management systems such as for quality, environment, occupational health and safety, risk management, and corporate social responsibilities is a viable organisational approach to cost reduction, efficient utilization of resources, greater motivation of employees, and better compliance

  10. Gaussian width bounds with applications to arithmetic progressions in random settings

    NARCIS (Netherlands)

    J. Briët (Jop); S. Gopi (Sivakanth)

    2017-01-01

    textabstractMotivated by two problems on arithmetic progressions (APs)—concerning large deviations for AP counts in random sets and random differences in Szemer´edi’s theorem— we prove upper bounds on the Gaussian width of the image of the n-dimensional Boolean hypercube under a mapping ψ : Rn →

  11. Motivation, emotion regulation, and the latent structure of psychopathology: An integrative and convergent historical perspective.

    Science.gov (United States)

    Beauchaine, Theodore P; Zisner, Aimee

    2017-09-01

    Motivational models of psychopathology have long been advanced by psychophysiologists, and have provided key insights into neurobiological mechanisms of a wide range of psychiatric disorders. These accounts emphasize individual differences in activity and reactivity of bottom-up, subcortical neural systems of approach and avoidance in affecting behavior. Largely independent literatures emphasize the roles of top-down, cortical deficits in emotion regulation and executive function in conferring vulnerability to psychopathology. To date however, few models effectively integrate functions performed by bottom-up emotion generation system with those performed by top-down emotion regulation systems in accounting for alternative expressions of psychopathology. In this article, we present such a model, and describe how it accommodates the well replicated bifactor structure of psychopathology. We describe how excessive approach motivation maps directly into externalizing liability, how excessive passive avoidance motivation maps directly into internalizing liability, and how emotion dysregulation and executive function map onto general liability. This approach is consistent with the Research Domain Criteria initiative, which assumes that a limited number of brain systems interact to confer vulnerability to many if not most forms of psychopathology. Copyright © 2017 Elsevier B.V. All rights reserved.

  12. Psychometric properties of the Motivational Interviewing Treatment Integrity coding system 4.2 with jail inmates.

    Science.gov (United States)

    Owens, Mandy D; Rowell, Lauren N; Moyers, Theresa

    2017-10-01

    Motivational Interviewing (MI) is an evidence-based approach shown to be helpful for a variety of behaviors across many populations. Treatment fidelity is an important tool for understanding how and with whom MI may be most helpful. The Motivational Interviewing Treatment Integrity coding system was recently updated to incorporate new developments in the research and theory of MI, including the relational and technical hypotheses of MI (MITI 4.2). To date, no studies have examined the MITI 4.2 with forensic populations. In this project, twenty-two brief MI interventions with jail inmates were evaluated to test the reliability of the MITI 4.2. Validity of the instrument was explored using regression models to examine the associations between global scores (Empathy, Partnership, Cultivating Change Talk and Softening Sustain Talk) and outcomes. Reliability of this coding system with these data was strong. We found that therapists had lower ratings of Empathy with participants who had more extensive criminal histories. Both Relational and Technical global scores were associated with criminal histories as well as post-intervention ratings of motivation to decrease drug use. Findings indicate that the MITI 4.2 was reliable for coding sessions with jail inmates. Additionally, results provided information related to the relational and technical hypotheses of MI. Future studies can use the MITI 4.2 to better understand the mechanisms behind how MI works with this high-risk group. Published by Elsevier Ltd.

  13. Philosophy of arithmetic psychological and logical investigations with supplementary texts from 1887–1901

    CERN Document Server

    Husserl, Edmund

    2003-01-01

    In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge. It is a realist account of numbers and number relations that interweaves them into the basic structure of the universe and into our knowledge of reality. It provides an answer to the question of how arithmetic applies to reality, and gives an account of how, in general, formalized systems of symbols work in providing access to the world. The "appendices" to this book provide some of Husserl's subsequent discussions of how formalisms work, involving David Hilbert's program of completeness for arithmetic. "Completeness" is integrated into Husserl's own problematic of the "imaginary", and allows him to move beyond the analysis of "representations" in his understanding of the logic of mathematics. Husserl's work here provides an alternative model of...

  14. An Integrative Process Approach on Judgment and Decision Making: The Impact of Arousal, Affect, Motivation, and Cognitive Ability

    Science.gov (United States)

    Roets, Arne; Van Hiel, Alain

    2011-01-01

    This article aims to integrate the findings from various research traditions on human judgment and decision making, focusing on four process variables: arousal, affect, motivation, and cognitive capacity/ability. We advocate a broad perspective referred to as the integrative process approach (IPA) of decision making, in which these process…

  15. Foundations of arithmetic differential geometry

    CERN Document Server

    Buium, Alexandru

    2017-01-01

    The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the prime numbers. The role of partial derivatives of functions with respect to the coordinates is played by the Fermat quotients of integers with respect to the primes. The role of metrics is played by symmetric matrices with integer coefficients. The role of connections (respectively curvature) attached to metrics is played by certain adelic (respectively global) objects attached to the corresponding matrices. One of the main conclusions of the theory is that the spectrum of the integers is "intrinsically curved"; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.

  16. Handbook of floating-point arithmetic

    CERN Document Server

    Muller, Jean-Michel; de Dinechin, Florent; Jeannerod, Claude-Pierre; Joldes, Mioara; Lefèvre, Vincent; Melquiond, Guillaume; Revol, Nathalie; Torres, Serge

    2018-01-01

    This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design. The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithm...

  17. Specificity and Overlap in Skills Underpinning Reading and Arithmetical Fluency

    Science.gov (United States)

    van Daal, Victor; van der Leij, Aryan; Ader, Herman

    2013-01-01

    The aim of this study was to examine unique and common causes of problems in reading and arithmetic fluency. 13- to 14-year-old students were placed into one of five groups: reading disabled (RD, n = 16), arithmetic disabled (AD, n = 34), reading and arithmetic disabled (RAD, n = 17), reading, arithmetic, and listening comprehension disabled…

  18. Quality of Arithmetic Education for Children with Cerebral Palsy

    Science.gov (United States)

    Jenks, Kathleen M.; de Moor, Jan; van Lieshout, Ernest C. D. M.; Withagen, Floortje

    2010-01-01

    The aim of this exploratory study was to investigate the quality of arithmetic education for children with cerebral palsy. The use of individual educational plans, amount of arithmetic instruction time, arithmetic instructional grouping, and type of arithmetic teaching method were explored in three groups: children with cerebral palsy (CP) in…

  19. Studi Kompresi Data dengan Metode Arithmetic Coding

    OpenAIRE

    Santoso, Petrus

    2001-01-01

    In Bahasa Indonesia : Ada banyak sekali metode kompresi data yang ada saat ini. Sebagian besar metode tersebut bisa dikelompokkan ke dalam salah satu dari dua kelompok besar, statistical based dan dictionary based. Contoh dari dictionary based coding adalah Lempel Ziv Welch dan contoh dari statistical based coding adalah Huffman Coding dan Arithmetic Coding yang merupakan algoritma terbaru. Makalah ini mengulas prinsip-prinsip dari Arithmetic Coding serta keuntungan-keuntungannya dibandi...

  20. How to be Brilliant at Mental Arithmetic

    CERN Document Server

    Webber, Beryl

    2010-01-01

    How to be Brilliant at Mental Arithmetic addresses the twin pillars of mental arithmetic - mental recall and mental agility. Mental recall depends on familiarity with number bonds and plenty of opportunity to practise. Mental agility depends more on confidence with the number system and the four operations. Using the worksheets in this book, students will learn about: tens and units; addition, subtraction, multiplication and division; addition shortcuts; product squares; quick recall; number se

  1. Action Control, Motivated Strategies, and Integrative Motivation as Predictors of Language Learning Affect and the Intention to Continue Learning French

    Science.gov (United States)

    MacIntyre, Peter D.; Blackie, Rebecca A.

    2012-01-01

    The present study examines the relative ability of variables from three motivational frameworks to predict four non-linguistic outcomes of language learning. The study examines Action Control Theory with its measures of (1) hesitation, (2) volatility and (3) rumination. The study also examined Pintrich's expectancy-value model that uses measures…

  2. [Can medical students' motivation for a course of basic physiology education integrating into lectures some active learning methods be improved?

    Science.gov (United States)

    Bentata, Yassamine; Delfosse, Catherine

    2017-01-01

    Students' motivation is a critical component of learning and students' perception of activity value is one of the three major components of their motivation. How can we make students perceive the usefulness and the interest of their university courses while increasing their motivation? The aim of our study was to determine students' perception of basic physiology education value and to assess the impact of lecture integration into some active learning methods on the motivation of the students of the first cycle of Medicine in a junior faculty. We conducted a prospective study, involving the students in their second year of medical studies. At first, we assessed students' motivation for university courses through a first questionnaire, after we integrated two educational activities: the case study and the realization of a conceptual map for the lectures of the physiology module and then we evaluated, through a second questionnaire, the impact of these two activities on students' motivation. Out of 249 students in their second year of medical studies 131 and 109 students have completed and returned the 1st and 2nd questionnaire respectively. Overall students' motivation for their university courses was very favorable, even if the motivation for physiology course (70.8%) was slightly lower than for all the courses (80%). Our students enjoyed the two proposed activities and only 13% (for the case study) and 16.8% (for the map) were not satisfied. 40.9% of students completed a conceptual map whose quality judged on the identification of concepts and of the links between concepts was globally satisfactory for a first experience. Students' motivation is influenced by multiple internal and external factors and is a big problem in the university environment. In this context, a rigorous planning of diversified and active educational activities is one of the main gateways for teacher to encourage motivation.

  3. Toward a Current, Comprehensive, Integrative, and Flexible Model of Motivation for Instructional Design

    Science.gov (United States)

    Hardre, Patricia L.; Miller, Raymond B.

    2006-01-01

    Workplace motivation historically has been an HR function, with ID as a training function. This division produces a split between motivation and training, leaving them isolated from one another. Intervention design needs to include motivation throughout its phases, to maximize motivating opportunities for performance improvement. The current…

  4. Motivational and social cognitive predictors of doping intentions in elite sports: an integrated approach.

    Science.gov (United States)

    Barkoukis, V; Lazuras, L; Tsorbatzoudis, H; Rodafinos, A

    2013-10-01

    Doping use is an important issue in both competitive and non-competitive sports, and poses potentially irreversible health consequences to users. Scholars increasingly call for theory-driven studies on the psychosocial processes underlying doping use that will inform subsequent policy-making and prevention interventions. The aim of the study was to implement an integrative theoretical model to assess the direct and indirect effects of motivational variables, moral orientations, and social cognitions on doping intentions. A randomly selected and representative sample of 750 elite athletes anonymously completed a battery of questionnaires on motivational and moral constructs, and social cognitions related to doping. Hierarchical linear regression analysis and multiple mediation modeling were used. The effects of achievement goals and moral orientations were significantly mediated by attitudinal, normative, and self-efficacy beliefs, in both lifetime ever and never doping users. Moral orientations indirectly predicted the doping intentions of never users, but did not predict ever users' doping intentions. Achievement goals and sportspersonship orientations influence doping intentions indirectly, through the effects of attitudes and self-efficacy beliefs. Sportspersonship (moral) orientations were relevant to doping intentions among athletes with no prior experiences with doping, while achievement goals and situational temptation were relevant to both lifetime never and ever dopers. © 2013 John Wiley & Sons A/S. Published by John Wiley & Sons Ltd.

  5. An Arithmetic-Algebraic Work Space for the Promotion of Arithmetic and Algebraic Thinking: Triangular Numbers

    Science.gov (United States)

    Hitt, Fernando; Saboya, Mireille; Cortés Zavala, Carlos

    2016-01-01

    This paper presents an experiment that attempts to mobilise an arithmetic-algebraic way of thinking in order to articulate between arithmetic thinking and the early algebraic thinking, which is considered a prelude to algebraic thinking. In the process of building this latter way of thinking, researchers analysed pupils' spontaneous production…

  6. The Cognitive Correlates of Third-Grade Skill in Arithmetic, Algorithmic Computation, and Arithmetic Word Problems

    Science.gov (United States)

    Fuchs, Lynn S.; Fuchs, Douglas; Compton, Donald L.; Powell, Sarah R.; Seethaler, Pamela M.; Capizzi, Andrea M.; Schatschneider, Christopher; Fletcher, Jack M.

    2006-01-01

    The purpose of this study was to examine the cognitive correlates of RD-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word…

  7. Toward an integrative theory of training motivation: a meta-analytic path analysis of 20 years of research.

    Science.gov (United States)

    Colquitt, J A; LePine, J A; Noe, R A

    2000-10-01

    This article meta-analytically summarizes the literature on training motivation, its antecedents, and its relationships with training outcomes such as declarative knowledge, skill acquisition, and transfer. Significant predictors of training motivation and outcomes included individual characteristics (e.g., locus of control, conscientiousness, anxiety, age, cognitive ability, self-efficacy, valence, job involvement) and situational characteristics (e.g., climate). Moreover, training motivation explained incremental variance in training outcomes beyond the effects of cognitive ability. Meta-analytic path analyses further showed that the effects of personality, climate, and age on training outcomes were only partially mediated by self-efficacy, valence, and job involvement. These findings are discussed in terms of their practical significance and their implications for an integrative theory of training motivation.

  8. An integrative formal model of motivation and decision making: The MGPM*.

    Science.gov (United States)

    Ballard, Timothy; Yeo, Gillian; Loft, Shayne; Vancouver, Jeffrey B; Neal, Andrew

    2016-09-01

    We develop and test an integrative formal model of motivation and decision making. The model, referred to as the extended multiple-goal pursuit model (MGPM*), is an integration of the multiple-goal pursuit model (Vancouver, Weinhardt, & Schmidt, 2010) and decision field theory (Busemeyer & Townsend, 1993). Simulations of the model generated predictions regarding the effects of goal type (approach vs. avoidance), risk, and time sensitivity on prioritization. We tested these predictions in an experiment in which participants pursued different combinations of approach and avoidance goals under different levels of risk. The empirical results were consistent with the predictions of the MGPM*. Specifically, participants pursuing 1 approach and 1 avoidance goal shifted priority from the approach to the avoidance goal over time. Among participants pursuing 2 approach goals, those with low time sensitivity prioritized the goal with the larger discrepancy, whereas those with high time sensitivity prioritized the goal with the smaller discrepancy. Participants pursuing 2 avoidance goals generally prioritized the goal with the smaller discrepancy. Finally, all of these effects became weaker as the level of risk increased. We used quantitative model comparison to show that the MGPM* explained the data better than the original multiple-goal pursuit model, and that the major extensions from the original model were justified. The MGPM* represents a step forward in the development of a general theory of decision making during multiple-goal pursuit. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

  9. Educators' Motivation on Integration of ICTs into Pedagogy: Case of Disadvantaged Areas

    Science.gov (United States)

    Chigona, Agnes; Chigona, Wallace; Davids, Zane

    2014-01-01

    This paper investigates factors that motivate educators to use Information Communication Technologies (ICTs) in schools in disadvantaged areas. The study employed Herzberg' Motivation-Hygiene theory to guide the process of understanding the factors that motivate or demotivate educators when using the technology for teaching and learning.…

  10. High performance integer arithmetic circuit design on FPGA architecture, implementation and design automation

    CERN Document Server

    Palchaudhuri, Ayan

    2016-01-01

    This book describes the optimized implementations of several arithmetic datapath, controlpath and pseudorandom sequence generator circuits for realization of high performance arithmetic circuits targeted towards a specific family of the high-end Field Programmable Gate Arrays (FPGAs). It explores regular, modular, cascadable, and bit-sliced architectures of these circuits, by directly instantiating the target FPGA-specific primitives in the HDL. Every proposed architecture is justified with detailed mathematical analyses. Simultaneously, constrained placement of the circuit building blocks is performed, by placing the logically related hardware primitives in close proximity to one another by supplying relevant placement constraints in the Xilinx proprietary “User Constraints File”. The book covers the implementation of a GUI-based CAD tool named FlexiCore integrated with the Xilinx Integrated Software Environment (ISE) for design automation of platform-specific high-performance arithmetic circuits from us...

  11. Relating arithmetical techniques of proportion to geometry

    DEFF Research Database (Denmark)

    Wijayanti, Dyana

    2015-01-01

    The purpose of this study is to investigate how textbooks introduce and treat the theme of proportion in geometry (similarity) and arithmetic (ratio and proportion), and how these themes are linked to each other in the books. To pursue this aim, we use the anthropological theory of the didactic....... Considering 6 common Indonesian textbooks in use, we describe how proportion is explained and appears in examples and exercises, using an explicit reference model of the mathematical organizations of both themes. We also identify how the proportion themes of the geometry and arithmetic domains are linked. Our...

  12. Teaching health science students foundation motivational interviewing skills: use of motivational interviewing treatment integrity and self-reflection to approach transformative learning.

    Science.gov (United States)

    M, Schoo A; S, Lawn; E, Rudnik; C, Litt J

    2015-12-21

    Many undergraduate and graduate-entry health science curricula have incorporated training in motivational interviewing (MI). However, to effectively teach skills that will remain with students after they graduate is challenging. The aims of this study were to find out self-assessed MI skills of health students and whether reflecting on the results can promote transformative learning. Thirty-six Australian occupational therapy and physiotherapy students were taught the principles of MI, asked to conduct a motivational interview, transcribe it, self-rate it using the Motivational Interviewing Treatment Integrity (MITI) tool and reflect on the experience. Student MI skills were measured using the reported MITI subscores. Student assignments and a focus group discussion were analysed to explore the student experience using the MITI tool and self-reflection to improve their understanding of MI principles. Students found MI challenging, although identified the MITI tool as useful for promoting self-reflection and to isolate MI skills. Students self-assessed their MI skills as competent and higher than scores expected from beginners. The results inform educational programs on how MI skills can be developed for health professional students and can result in transformative learning. Students may over-state their MI skills and strategies to reduce this, including peer review, are discussed. Structured self-reflection, using tools such as the MITI can promote awareness of MI skills and compliment didactic teaching methods.

  13. Asian International Students at an Australian University: Mapping the Paths between Integrative Motivation, Competence in L2 Communication, Cross-Cultural Adaptation and Persistence with Structural Equation Modelling

    Science.gov (United States)

    Yu, Baohua

    2013-01-01

    This study examined the interrelationships of integrative motivation, competence in second language (L2) communication, sociocultural adaptation, academic adaptation and persistence of international students at an Australian university. Structural equation modelling demonstrated that the integrative motivation of international students has a…

  14. Integrated motivational interviewing and cognitive-behavioural therapy for bipolar disorder with comorbid substance use.

    Science.gov (United States)

    Jones, Steven H; Barrowclough, Christine; Allott, Rory; Day, Christine; Earnshaw, Paul; Wilson, Ian

    2011-01-01

    Although comorbid substance use is a common problem in bipolar disorder, there has been little research into options for psychological therapy. Studies to date have concentrated on purely cognitive-behavioural approaches, which are not equipped to deal with the ambivalence to change exhibited by many towards therapy designed to change substance use. This paper provides the first report of an integrated psychological treatment approach for bipolar disorder with comorbid substance use. The intervention reported combines motivational interviewing and cognitive-behavioural therapy to address ambivalence and equips individuals with strategies to address substance use. Across five individual case studies, preliminary evidence is reported to support the acceptability and the feasibility of this approach. Despite most participants not highlighting their substance use as a primary therapy target, all but one exhibited reduced use of drugs or alcohol at the end of therapy, sustained at 6 months' follow-up. There was some evidence for improvements in mood symptoms and impulsiveness, but this was less clear-cut. The impact of social and relationship issues on therapy process and outcome is discussed. The implications of the current findings for future intervention research in this area are considered. Copyright © 2011 John Wiley & Sons, Ltd.

  15. Self-reference in Arithmetic I

    NARCIS (Netherlands)

    Halbach, Volker; Visser, Albert|info:eu-repo/dai/nl/068579985

    2014-01-01

    A Gödel sentence is often described as a sentence saying about itself that it is not provable, and a Henkin sentence as a sentence stating its own provability. We discuss what it could mean for a sentence of arithmetic to ascribe to itself a property such as provability or unprovability. The

  16. A functional interpretation for nonstandard arithmetic

    NARCIS (Netherlands)

    van den Berg, B.; Briseid, E.; Safarik, P.

    2012-01-01

    We introduce constructive and classical systems for nonstandard arithmetic and show how variants of the functional interpretations due to Gödel and Shoenfield can be used to rewrite proofs performed in these systems into standard ones. These functional interpretations show in particular that our

  17. Fuzzy Logic and Arithmetical Hierarchy III

    Czech Academy of Sciences Publication Activity Database

    Hájek, Petr

    2001-01-01

    Roč. 68, č. 1 (2001), s. 129-142 ISSN 0039-3215 R&D Projects: GA AV ČR IAA1030004 Institutional research plan: AV0Z1030915 Keywords : fuzzy logic * basic fuzzy logic * Lukasiewicz logic * Godel logic * product logic * arithmetical hierarchy Subject RIV: BA - General Mathematics

  18. Secret Codes, Remainder Arithmetic, and Matrices.

    Science.gov (United States)

    Peck, Lyman C.

    This pamphlet is designed for use as enrichment material for able junior and senior high school students who are interested in mathematics. No more than a clear understanding of basic arithmetic is expected. Students are introduced to ideas from number theory and modern algebra by learning mathematical ways of coding and decoding secret messages.…

  19. PandA : pairings and arithmetic

    NARCIS (Netherlands)

    Chuengsatiansup, C.; Naehrig, M.; Ribarski, P.; Schwabe, P.; Cao, Z.; Zhang, F.

    2014-01-01

    This paper introduces PandA, a software framework for Pairings and Arithmetic. It is designed to bring together advances in the efficient computation of cryptographic pairings and the development and implementation of pairing-based protocols. The intention behind the PandA framework is to give

  20. Lattice for FPGAs using logarithmic arithmetic

    Czech Academy of Sciences Publication Activity Database

    Kadlec, Jiří; Matoušek, Rudolf; Heřmánek, Antonín; Líčko, Miroslav; Tichý, Milan

    2002-01-01

    Roč. 74, č. 906 (2002), s. 53-56 ISSN 0013-4902 Grant - others: ESPRIT (XE) 33544 Institutional research plan: CEZ:AV0Z1075907 Keywords : lattice Rls algorithm * FPGA * logarithmic arithmetic Subject RIV: JC - Computer Hardware ; Software Impact factor: 0.039, year: 2002

  1. Quantum arithmetic with the Quantum Fourier Transform

    OpenAIRE

    Ruiz-Perez, Lidia; Garcia-Escartin, Juan Carlos

    2014-01-01

    The Quantum Fourier Transform offers an interesting way to perform arithmetic operations on a quantum computer. We review existing Quantum Fourier Transform adders and multipliers and propose some modifications that extend their capabilities. Among the new circuits, we propose a quantum method to compute the weighted average of a series of inputs in the transform domain.

  2. Circuit lower bounds in bounded arithmetics

    Czech Academy of Sciences Publication Activity Database

    Pich, Ján

    2015-01-01

    Roč. 166, č. 1 (2015), s. 29-45 ISSN 0168-0072 R&D Projects: GA AV ČR IAA100190902 Keywords : bounded arithmetic * circuit lower bounds Subject RIV: BA - General Mathematics Impact factor: 0.582, year: 2015 http://www.sciencedirect.com/science/article/pii/S0168007214000888

  3. Non-commutative arithmetic circuits with division

    Czech Academy of Sciences Publication Activity Database

    Hrubeš, Pavel; Wigderson, A.

    2015-01-01

    Roč. 11, Article 14 (2015), s. 357-393 ISSN 1557-2862 EU Projects: European Commission(XE) 339691 - FEALORA Institutional support: RVO:67985840 Keywords : arithmetic circuits * non-commutative rational function * skew field Subject RIV: BA - General Mathematics http://theoryofcomputing.org/articles/v011a014/

  4. Model Theory in Algebra, Analysis and Arithmetic

    CERN Document Server

    Dries, Lou; Macpherson, H Dugald; Pillay, Anand; Toffalori, Carlo; Wilkie, Alex J

    2014-01-01

    Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.

  5. Arithmetics, geometry and conformal fields

    CERN Document Server

    Itzykson, Claude

    1992-03-17

    The last few years have witnessed a remarkeble conjunction of methods in such diverse domains as strings and topological field theory, two dimensional statistical physics, classical and quantum integrable systems. The lectures will aim to present some of the underlying mathematics at an elementary and pedagogical level, for their intrinsic value.

  6. Personal Experience and Arithmetic Meaning in Semantic Dementia

    Science.gov (United States)

    Julien, Camille L.; Neary, David; Snowden, Julie S.

    2010-01-01

    Arithmetic skills are generally claimed to be preserved in semantic dementia (SD), suggesting functional independence of arithmetic knowledge from other aspects of semantic memory. However, in a recent case series analysis we showed that arithmetic performance in SD is not entirely normal. The finding of a direct association between severity of…

  7. Specificity and overlap in skills underpinning reading and arithmetical fluency

    NARCIS (Netherlands)

    van Daal, V.; van der Leij, A.; Adèr, H.

    2013-01-01

    The aim of this study was to examine unique and common causes of problems in reading and arithmetic fluency. 13- to 14-year-old students were placed into one of five groups: reading disabled (RD, n = 16), arithmetic disabled (AD, n = 34), reading and arithmetic disabled (RAD, n = 17), reading,

  8. Learning, Realizability and Games in Classical Arithmetic

    Science.gov (United States)

    Aschieri, Federico

    2010-12-01

    In this dissertation we provide mathematical evidence that the concept of learning can be used to give a new and intuitive computational semantics of classical proofs in various fragments of Predicative Arithmetic. First, we extend Kreisel modified realizability to a classical fragment of first order Arithmetic, Heyting Arithmetic plus EM1 (Excluded middle axiom restricted to Sigma^0_1 formulas). We introduce a new realizability semantics we call "Interactive Learning-Based Realizability". Our realizers are self-correcting programs, which learn from their errors and evolve through time. Secondly, we extend the class of learning based realizers to a classical version PCFclass of PCF and, then, compare the resulting notion of realizability with Coquand game semantics and prove a full soundness and completeness result. In particular, we show there is a one-to-one correspondence between realizers and recursive winning strategies in the 1-Backtracking version of Tarski games. Third, we provide a complete and fully detailed constructive analysis of learning as it arises in learning based realizability for HA+EM1, Avigad's update procedures and epsilon substitution method for Peano Arithmetic PA. We present new constructive techniques to bound the length of learning processes and we apply them to reprove - by means of our theory - the classic result of Godel that provably total functions of PA can be represented in Godel's system T. Last, we give an axiomatization of the kind of learning that is needed to computationally interpret Predicative classical second order Arithmetic. Our work is an extension of Avigad's and generalizes the concept of update procedure to the transfinite case. Transfinite update procedures have to learn values of transfinite sequences of non computable functions in order to extract witnesses from classical proofs.

  9. Fourier transforms on Cantor sets: A study in non-Diophantine arithmetic and calculus

    International Nuclear Information System (INIS)

    Aerts, Diederik; Czachor, Marek; Kuna, Maciej

    2016-01-01

    Highlights: • Fractal arithmetic allows to define Fourier transforms on Cantor-like sets. • General construction is illustrated on the example of a sawtooth signal. • The formalism is much simpler than the approaches discussed so far in the literature. - Abstract: Fractals equipped with intrinsic arithmetic lead to a natural definition of differentiation, integration, and complex structure. Applying the formalism to the problem of a Fourier transform on fractals we show that the resulting transform has all the required basic properties. As an example we discuss a sawtooth signal on the ternary middle-third Cantor set. The formalism works also for fractals that are not self-similar.

  10. Syntactic Awareness and Arithmetic Word Problem Solving in Children with and without Learning Disabilities

    Science.gov (United States)

    Peake, Christian; Jiménez, Juan E.; Rodríguez, Cristina; Bisschop, Elaine; Villarroel, Rebeca

    2015-01-01

    Arithmetic word problem (AWP) solving is a highly demanding task for children with learning disabilities (LD) since verbal and mathematical information have to be integrated. This study examines specifically how syntactic awareness (SA), the ability to manage the grammatical structures of language, affects AWP solving. Three groups of children in…

  11. Knowing, Applying, and Reasoning about Arithmetic: Roles of Domain-General and Numerical Skills in Multiple Domains of Arithmetic Learning

    Science.gov (United States)

    Zhang, Xiao; Räsänen, Pekka; Koponen, Tuire; Aunola, Kaisa; Lerkkanen, Marja-Kristiina; Nurmi, Jari-Erik

    2017-01-01

    The longitudinal relations of domain-general and numerical skills at ages 6-7 years to 3 cognitive domains of arithmetic learning, namely knowing (written computation), applying (arithmetic word problems), and reasoning (arithmetic reasoning) at age 11, were examined for a representative sample of 378 Finnish children. The results showed that…

  12. Wanting, having, and needing: integrating motive disposition theory and self-determination theory.

    Science.gov (United States)

    Sheldon, Kennon M; Schüler, Julia

    2011-11-01

    Four studies explored the motivational and experiential dynamics of psychological needs, applying both self-determination theory and motive disposition theory. In all 4 studies, motive dispositions toward achievement and affiliation ("wanting" particular experiences) predicted corresponding feelings of competence and relatedness ("having" those experiences). Competence and relatedness in turn predicted well-being, again indicating that these 2 experiences may really be "needed." Illuminating how wanting gets to having, in Studies 2 and 3, participants reported greater self-concordance for motive-congruent goals, which, in longitudinal Study 3, predicted greater attainment of those goals and thus enhanced well-being. Study 4 replicated selected earlier results using an implicit as well as an explicit motive disposition measure. Supporting the presumed universality of competence and relatedness needs, in no studies did motive dispositions moderate the effects of corresponding need-satisfaction on well-being. Discussion focuses on a "sequential process" model of psychological needs that views needs as both motives that instigate and outcomes that reward behavior.

  13. Dictionary of algebra, arithmetic, and trigonometry

    CERN Document Server

    Krantz, Steven G

    2000-01-01

    Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the need for comprehensible, working definitions of mathematical expressions. To meet that need, CRC Press proudly introduces its Dictionary of Algebra, Arithmetic, and Trigonometry- the second published volume in the CRC Comprehensive Dictionary of Mathematics. More than three years in development, top academics and professionals from prestigious institutions around the world bring you more than 2,800 detailed definitions, written in a clear, readable style, complete with alternative meanings, and related references.From Abelian cohomology to zero ring and from the very basic to the highly advanced, this unique lexicon includes terms associated with arithmetic, algebra, and trigonometry, with natural overlap into geom...

  14. Nonverbal arithmetic in humans: light from noise.

    Science.gov (United States)

    Cordes, Sara; Gallistel, C R; Gelman, Rochel; Latham, Peter

    2007-10-01

    Animal and human data suggest the existence of a cross-species system of analog number representation (e.g., Cordes, Gelman, Gallistel, & Whalen, 2001; Meeck & Church, 1983), which may mediate the computation of statistical regularities in the environment (Gallistel, Gelman, & Cordes, 2006). However, evidence of arithmetic manipulation of these nonverbal magnitude representations is sparse and lacking in depth. This study uses the analysis of variability as a tool for understanding properties of these combinatorial processes. Human subjects participated in tasks requiring responses dependent upon the addition, subtraction, or reproduction of nonverbal counts. Variance analyses revealed that the magnitude of both inputs and answer contributed to the variability in the arithmetic responses, with operand variability dominating. Other contributing factors to the observed variability and implications for logarithmic versus scalar models of magnitude representation are discussed in light of these results.

  15. Hybrid content addressable memory MSD arithmetic

    Science.gov (United States)

    Li, Yao; Kim, Dai Hyun; Kostrzewski, Andrew A.; Eichmann, George

    1990-07-01

    The modified signed-digit (MSD) number system, because of its inherent weak interdigit dependance, has been suggested as a useful means for a fast and parallel digital arithmetic. To maintain a fast processing speed, a single-stage holographic optical content-addressable memory (CAM) based MSD algorithm was suggested. In this paper, a novel non-holographic opto-electronic CAM based fast MSD addition processing architecture is proposed. The proposed concept has been verified with our first-order proof-of-principle experiments. A figure of merit comparison of this and other existing approaches is also presented. Based on this key opto-electronic CAM element, implementation of more sophisticated I'VISD arithmetic, such as optical MSD subtraction and multiplication operations, are proposed.

  16. Coherent states, pseudodifferential analysis and arithmetic

    Science.gov (United States)

    Unterberger, André

    2012-06-01

    Basic questions regarding families of coherent states include describing some constructions of such and the way they can be applied to operator theory or partial differential equations. In both questions, pseudodifferential analysis is important. Recent developments indicate that they can contribute to methods in arithmetic, especially modular form theory. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Coherent states: mathematical and physical aspects’.

  17. A sorting network in bounded arithmetic

    Czech Academy of Sciences Publication Activity Database

    Jeřábek, Emil

    2011-01-01

    Roč. 162, č. 4 (2011), s. 341-355 ISSN 0168-0072 R&D Projects: GA AV ČR IAA1019401; GA MŠk(CZ) 1M0545 Institutional research plan: CEZ:AV0Z10190503 Keywords : bounded arithmetic * sorting network * proof complexity * monotone sequent calculus Subject RIV: BA - General Mathematics Impact factor: 0.450, year: 2011 http://www.sciencedirect.com/science/article/pii/S0168007210001272

  18. Arithmetic functions in torus and tree networks

    Science.gov (United States)

    Bhanot, Gyan; Blumrich, Matthias A.; Chen, Dong; Gara, Alan G.; Giampapa, Mark E.; Heidelberger, Philip; Steinmacher-Burow, Burkhard D.; Vranas, Pavlos M.

    2007-12-25

    Methods and systems for performing arithmetic functions. In accordance with a first aspect of the invention, methods and apparatus are provided, working in conjunction of software algorithms and hardware implementation of class network routing, to achieve a very significant reduction in the time required for global arithmetic operation on the torus. Therefore, it leads to greater scalability of applications running on large parallel machines. The invention involves three steps in improving the efficiency and accuracy of global operations: (1) Ensuring, when necessary, that all the nodes do the global operation on the data in the same order and so obtain a unique answer, independent of roundoff error; (2) Using the topology of the torus to minimize the number of hops and the bidirectional capabilities of the network to reduce the number of time steps in the data transfer operation to an absolute minimum; and (3) Using class function routing to reduce latency in the data transfer. With the method of this invention, every single element is injected into the network only once and it will be stored and forwarded without any further software overhead. In accordance with a second aspect of the invention, methods and systems are provided to efficiently implement global arithmetic operations on a network that supports the global combining operations. The latency of doing such global operations are greatly reduced by using these methods.

  19. How Do Different Aspects of Spatial Skills Relate to Early Arithmetic and Number Line Estimation?

    Directory of Open Access Journals (Sweden)

    Véronique Cornu

    2017-12-01

    Full Text Available The present study investigated the predictive role of spatial skills for arithmetic and number line estimation in kindergarten children (N = 125. Spatial skills are known to be related to mathematical development, but due to the construct’s non-unitary nature, different aspects of spatial skills need to be differentiated. In the present study, a spatial orientation task, a spatial visualization task and visuo-motor integration task were administered to assess three different aspects of spatial skills. Furthermore, we assessed counting abilities, knowledge of Arabic numerals, quantitative knowledge, as well as verbal working memory and verbal intelligence in kindergarten. Four months later, the same children performed an arithmetic and a number line estimation task to evaluate how the abilities measured at Time 1 predicted early mathematics outcomes. Hierarchical regression analysis revealed that children’s performance in arithmetic was predicted by their performance on the spatial orientation and visuo-motor integration task, as well as their knowledge of the Arabic numerals. Performance in number line estimation was significantly predicted by the children’s spatial orientation performance. Our findings emphasize the role of spatial skills, notably spatial orientation, in mathematical development. The relation between spatial orientation and arithmetic was partially mediated by the number line estimation task. Our results further show that some aspects of spatial skills might be more predictive of mathematical development than others, underlining the importance to differentiate within the construct of spatial skills when it comes to understanding numerical development.

  20. GDI based full adders for energy efficient arithmetic applications

    Directory of Open Access Journals (Sweden)

    Mohan Shoba

    2016-03-01

    Full Text Available Addition is a vital arithmetic operation and acts as a building block for synthesizing all other operations. A high-performance adder is one of the key components in the design of application specific integrated circuits. In this paper, three low power full adders are designed with full swing AND, OR and XOR gates to alleviate threshold voltage problem which is commonly encountered in Gate Diffusion Input (GDI logic. This problem usually does not allow the full adder circuits to operate without additional inverters. However, the three full adders are successfully realized using full swing gates with the significant improvement in their performance. The performance of the proposed designs is compared with the other full adder designs, namely CMOS, CPL, hybrid and GDI through SPICE simulations using 45 nm technology models. Simulation results reveal that proposed designs have lower energy consumption among all the conventional designs taken for comparison.

  1. Exploring the Intrinsic Motivation of Hedonic Information Systems Acceptance: Integrating Hedonic Theory and Flow with TAM

    Science.gov (United States)

    Wang, Zhihuan

    Research on Information Systems (IS) acceptance is substantially focused on extrinsic motivation in workplaces, little is known about the underlying intrinsic motivations of Hedonic IS (HIS) acceptance. This paper proposes a hybrid HIS acceptance model which takes the unique characteristics of HIS and multiple identities of a HIS user into consideration by interacting Hedonic theory, Flow theory with Technology Acceptance Model (TAM). The model was empirically tested by a field survey. The result indicates that emotional responses, imaginal responses, and flow experience are three main contributions of HIS acceptance.

  2. Motivations, Values, and Conflict Resolution: Students' Integration of Personal and Professional Identities

    Science.gov (United States)

    Osteen, Philip J.

    2011-01-01

    Edicts within the Council on Social Work Education's 2008 Educational Policy and Accreditation Standards address the importance of understanding the intersection of personal and professional values. Twenty MSW students, chosen on the basis of diverse cultural and personal characteristics, were interviewed about their motivations for pursuing a MSW…

  3. Motivational Perspectives on Student Cheating: Toward an Integrated Model of Academic Dishonesty

    Science.gov (United States)

    Murdock, Tamera B.; Anderman, Eric M.

    2006-01-01

    This article uses theoretical concepts from self-efficacy theory, goal theory, expectancy value, and intrinsic motivation theory as a way to organize the vast and largely atheoretical literature on academic cheating. Specifically, it draws on 3 particular questions that students encounter when deciding whether to cheat: (a) What is my purpose?,…

  4. Latent profile analysis of students’ motivation and outcomes in mathematics: an organismic integration theory perspective

    Directory of Open Access Journals (Sweden)

    Chee Keng John Wang

    2017-05-01

    Full Text Available The purpose of the current study was to identify the motivation profiles at the intraindividual level using a latent profile analyses (LPA approach. A total of 1151 secondary school students aged 13 to 17 years old from Singapore took part in the study. Using LPA, four distinct motivational profiles were identified based on four motivation regulations. Profile 1 has very low introjected and low autonomous motivation (6% of sample. Profile 2 had high external and identified regulations and very low intrinsic regulation (10%. Profile 3 consisted of students with high identified and intrinsic regulations (51%. Profile 4 had moderately low identified and intrinsic regulations (33%. The results showed that the four profiles differed significantly in terms of effort, competence, value, and time spent on math beyond homework. The best profile (Profile 3 reported highest scores in effort, value, competence and time spent on Math beyond homework. The worst profile (Profile 1 reported lowest scores in all the four outcome variables. Keywords: Education

  5. Integrative and distributive negotiation in small groups : Effects of task structure, decision rule, and social motive

    NARCIS (Netherlands)

    Beersma, Bianca; De Dreu, Carsten K W

    2002-01-01

    This study examined the interactive effects of task structure, decision rule, and social motive on small-group negotiation processes and outcomes. Three-person groups negotiated either within an asymmetrical task structure (in which a majority of group members have compatible interests) or within a

  6. Art-Integration through Making Dioramas of Women Mathematicians' Lives Enhances Creativity and Motivation

    Science.gov (United States)

    Rule, Audrey C.; Atwood-Blaine, Dana; Edwards, Clayton M.; Gordon, Mindy M.

    2016-01-01

    Creativity is essential for solving problems in the workplace, natural environment, and everyday life, necessitating that creativity be nurtured in schools. Identification of factors that intrinsically motivate students to learn difficult or initially unappealing content is also important. This project, in which 24 racially diverse fifth grade…

  7. Interdependence in negotiation : Effects of exit options and social motive on distributive and integrative negotiation

    NARCIS (Netherlands)

    Giebels, E.; de Dreu, C.K W; Van de Vliert, E.

    2000-01-01

    This study extends past research on the impact of alternatives in dyadic negotiation by (a) providing negotiators with the mere possibility to negotiate with an outside party and (b) examining the moderating role of the negotiators' social motive. Business students engaged in face-to-face

  8. Integrating Motivational Interviewing and Self-Determination Theory with Cognitive Behavioral Therapy to Prevent Suicide

    Science.gov (United States)

    Britton, Peter C.; Patrick, Heather; Wenzel, Amy; Williams, Geoffrey C.

    2011-01-01

    Cognitive behavioral therapy (CBT) has been found to be effective in preventing suicide-related behavior. However, it is often difficult to engage patients who are at-risk in treatment. Motivational Interviewing (MI) has been shown to increase treatment engagement and improve treatment outcomes when it is used to complement other treatments. As a…

  9. Integrating Behavioral-Motive and Experiential-Requirement Perspectives on Psychological Needs: A Two Process Model

    Science.gov (United States)

    Sheldon, Kennon M.

    2011-01-01

    Psychological need theories offer much explanatory potential for behavioral scientists, but there is considerable disagreement and confusion about what needs are and how they work. A 2-process model of psychological needs is outlined, viewing needs as evolved functional systems that provide both (a) innate psychosocial motives that tend to impel…

  10. An integrative literature review and empirical validation of motives for introducing shared services in government organizations

    NARCIS (Netherlands)

    Paagman, Arnaud; Tate, Mary; Furtmueller-Ettinger, Elfriede; de Bloom, Jessica

    2014-01-01

    This paper contributes to the understanding of the meaning of shared services and motives for introducing shared services in government organizations. We review and clarify definitions of shared services and derive a definition applicable for the government context. Based on an extensive literature

  11. An integrative literature review and empirical validation of motives for introducing shared services in government organizations

    NARCIS (Netherlands)

    Paagman, Arnaud; Tate, Mary; Furtmueller, Elfi; de Bloom, Jessica

    This paper contributes to the understanding of the meaning of shared services and motives for introducing shared services in government organizations. We review and clarify definitions of shared services and derive a definition applicable for the government context. Based on an extensive literature

  12. Arithmetic differential equations on $GL_n$, I: differential cocycles

    OpenAIRE

    Buium, Alexandru; Dupuy, Taylor

    2013-01-01

    The theory of differential equations has an arithmetic analogue in which derivatives are replaced by Fermat quotients. One can then ask what is the arithmetic analogue of a linear differential equation. The study of usual linear differential equations is the same as the study of the differential cocycle from $GL_n$ into its Lie algebra given by the logarithmic derivative. However we prove here that there are no such cocycles in the context of arithmetic differential equations. In sequels of t...

  13. On Motivation and Motivation

    OpenAIRE

    Mircea UDRESCU

    2014-01-01

    Economic motivations were a big influence on consumer behavior motivation. In this context, it is considered that the general motives which give motivation to purchase content can be structured into rational and emotional motives, the motives innate and acquired motives, all gaining an individual or group event. The study of consumer behavior, with general motivations, attention increasingly larger granted special incentives, consisting of assertiveness feeling (emerging desire for a product)...

  14. Using fuzzy arithmetic in containment event trees

    International Nuclear Information System (INIS)

    Rivera, S.S.; Baron, Jorge H.

    2000-01-01

    The use of fuzzy arithmetic is proposed for the evaluation of containment event trees. Concepts such as improbable, very improbable, and so on, which are subjective by nature, are represented by fuzzy numbers. The quantitative evaluation of containment event trees is based on the extension principle, by which operations on real numbers are extended to operations on fuzzy numbers. Expert knowledge is considered as state of the base variable with a normal distribution, which is considered to represent the membership function. Finally, this paper presents results of an example calculation of a containment event tree for the CAREM-25 nuclear power plant, presently under detailed design stage at Argentina. (author)

  15. Arithmetic fundamental groups and moduli of curves

    International Nuclear Information System (INIS)

    Makoto Matsumoto

    2000-01-01

    This is a short note on the algebraic (or sometimes called arithmetic) fundamental groups of an algebraic variety, which connects classical fundamental groups with Galois groups of fields. A large part of this note describes the algebraic fundamental groups in a concrete manner. This note gives only a sketch of the fundamental groups of the algebraic stack of moduli of curves. Some application to a purely topological statement, i.e., an obstruction to the subjectivity of Johnson homomorphisms in the mapping class groups, which comes from Galois group of Q, is explained. (author)

  16. The Structure of Models of Peano Arithmetic

    CERN Document Server

    Kossak, Roman

    2006-01-01

    Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal types due to HaimGaifman, and some of the results are classical but have never been published in a book form before.

  17. Guest Editors' Introduction: Special Section on Computer Arithmetic

    DEFF Research Database (Denmark)

    Nannarelli, Alberto; Seidel, Peter-Michael; Tang, Ping Tak Peter

    2014-01-01

    and their subsequent testing and verification. Many practitioners of the field also focus on the art and science of using computer arithmetic to carry out scientific and engineering computations. Computer arithmetic is therefore an interdisciplinary field that draws upon mathematics, computer science and electrical......The articles in this special issue focus on current trends and developments in the field of computer arithmetic. This is a field that encompasses the definition and standardization of arithmetic system for computers. The field also deals with issues of hardware and software implementations...

  18. When is success not satisfying? Integrating regulatory focus and approach/avoidance motivation theories to explain the relation between core self-evaluation and job satisfaction.

    Science.gov (United States)

    Ferris, D Lance; Johnson, Russell E; Rosen, Christopher C; Djurdjevic, Emilija; Chang, Chu-Hsiang Daisy; Tan, James A

    2013-03-01

    Integrating implications from regulatory focus and approach/avoidance motivation theories, we present a framework wherein motivational orientations toward positive (approach motivation orientation) or negative (avoidance motivation orientation) stimuli interact with workplace success to mediate the relation of core self-evaluation (CSE) with job satisfaction. Using data collected from supervisor-subordinate dyads (Sample 1) and time-lagged data (Sample 2), we found that the results from two studies indicated that the interaction of workplace success and avoidance motivation orientation mediated relations of CSE with job satisfaction. Although approach motivation orientation did not interact with workplace success, it did mediate the CSE-job satisfaction relation on its own. Implications for the CSE and approach/avoidance literatures are discussed.

  19. Motivational Factors Affecting the Integration of a Learning Management System by Faculty

    Directory of Open Access Journals (Sweden)

    Cynthia Gautreau

    2011-01-01

    Full Text Available Online courses taught using a learning management system are common in higher education. Teaching online requires a new set of skills, knowledge, and professional growth. Faculty development programs often overlook factors that promote or inhibit the use of technologies among professors. This study identified the motivation factors that faculty consider relevant to their personal decision to adopt a learning management system. A needs assessment evaluation methodology was applied to investigate two research questions. The first question analyzed the demographics of the participants in this study including gender, age, tenure status, department, and years of experience using a technology and using an LMS. The second research question investigated the intrinsic and extrinsic factors that motivate faculty to adopt a learning management system in their instruction. Participants (N = 42 were tenured and tenure track faculty instructing at a four-year public university in California.

  20. Integral indicator for evaluating system of material motivation employees of state and private enterprises in the construction sector

    Directory of Open Access Journals (Sweden)

    Zotkina Natalia

    2017-01-01

    Full Text Available The article is devoted to modeling mechanism for evaluation the labor contribution of Russian employees of public and private enterprises in the construction sector based on an analysis of current problems in the remuneration of the government. There was also taken into account the state of motivation system and job satisfaction of human resources in the executive authorities in the subject of Russian Federation (on an example of the Yamalo-Nenets Autonomous Okrug - YaNAO. The survey was dedicated to revealing preferences of civil servants in matters of career growth, professional development. On the basis of the quota survey of civil servants using absentee (dispenser survey, conducted in July-September 2015 in Yamalo-Nenets, the following conclusions were formulated. The study has found that enrollment in the personnel reserve is not an effective measure to motivate public servants since it functions mostly just formally. Of particular importance are such working conditions as “remuneration dependence on the actual results” and “Personal responsibility for specific areas of activity”, which is directly linked with the possibility to receive appropriate remuneration. Authors propose an integral indicator for assessing labor contribution of an employee of public and private enterprises of the construction sector in order to improve financial motivation and increase the level of interest, which is based on the principles of economic and mathematical modeling.

  1. When are Rewards Bad for Creativity? Examining the Role of Leadership and Integrated Extrinsic Motivation

    OpenAIRE

    Gupta, Vishal

    2014-01-01

    The relationship between common creativity antecedents and creative performance is seldom clarified and the assertion that employee attitudinal and work environment factors spur creative performance has rarely been tested. The present study adopts an individual level of analysis and investigates the association between leader behaviors, employee extrinsic motivation, creative performance behaviors and creative performance in the Indian R&D context. Data were collected using a survey questionn...

  2. [Toward a deeper understanding of motivation towards exercise: measurement of integrated regulation in the Spanish context].

    Science.gov (United States)

    González-Cutre, David; Sicilia, Álvaro; Fernández, Alberto

    2010-11-01

    The purpose of this study was to validate the Behavioural Regulation in Exercise Questionnaire in the Spanish context, including items to measure integrated regulation. Participants were 524 exercisers, mean age 29.59 years. The results revealed acceptable fit indices in the confirmatory factor analysis and good internal consistency (with a Cronbach alpha of .87 for integrated regulation). The diverse subscales also conformed to a simplex pattern and the factor structure was invariant across gender and age. Integrated regulation reflected high temporal stability over a 4-week period (ICC=.90). The criterion validity analysis of integrated regulation indicated that this variable was positively predicted by satisfaction of the needs for competence and autonomy. The results regarding the importance of measuring integrated regulation in exercise are discussed.

  3. Children's Acquisition of Arithmetic Principles: The Role of Experience

    Science.gov (United States)

    Prather, Richard; Alibali, Martha W.

    2011-01-01

    The current study investigated how young learners' experiences with arithmetic equations can lead to learning of an arithmetic principle. The focus was elementary school children's acquisition of the Relation to Operands principle for subtraction (i.e., for natural numbers, the difference must be less than the minuend). In Experiment 1, children…

  4. Torsionfree Sheaves over a Nodal Curve of Arithmetic Genus One

    Indian Academy of Sciences (India)

    We classify all isomorphism classes of stable torsionfree sheaves on an irreducible nodal curve of arithmetic genus one defined over C C . Let be a nodal curve of arithmetic genus one defined over R R , with exactly one node, such that does not have any real points apart from the node. We classify all isomorphism ...

  5. Arithmetic Training Does Not Improve Approximate Number System Acuity

    Directory of Open Access Journals (Sweden)

    Marcus Lindskog

    2016-10-01

    Full Text Available The Approximate Number System (ANS is thought to support non-symbolic representations of numerical magnitudes in humans. Recently much debate has focused on the causal direction for an observed relation between ANS acuity and arithmetic fluency. Here we investigate if arithmetic training can improve ANS acuity. We show with an experimental training study consisting of six 45-minute training sessions that although feedback during arithmetic training improves arithmetic performance substantially, it does not influence ANS acuity. Hence, we find no support for a causal link where symbolic arithmetic training influences the ANS acuity. Further, although short-term number memory is likely involved in arithmetic tasks we did not find that short-term memory capacity for numbers, measured by a digit-span test, was effected by arithmetic training. This suggests that the improvement in arithmetic fluency may have occurred independent of short-term memory efficiency, but rather due to long-term memory processes and/or mental calculation strategy development. The theoretical implications of these findings are discussed.

  6. Operator Arithmetic-Harmonic Mean Inequality on Krein Spaces

    Directory of Open Access Journals (Sweden)

    M. Dehghani

    2014-03-01

    Full Text Available We prove an operator arithmetic-harmonic mean type inequality in Krein space setting, by using some block matrix techniques of indefinite type. We also give an example which shows that the operator arithmetic-geometric-harmonic mean inequality for two invertible selfadjoint operators on Krein spaces is not valid, in general.

  7. A novel chaotic encryption scheme based on arithmetic coding

    International Nuclear Information System (INIS)

    Mi Bo; Liao Xiaofeng; Chen Yong

    2008-01-01

    In this paper, under the combination of arithmetic coding and logistic map, a novel chaotic encryption scheme is presented. The plaintexts are encrypted and compressed by using an arithmetic coder whose mapping intervals are changed irregularly according to a keystream derived from chaotic map and plaintext. Performance and security of the scheme are also studied experimentally and theoretically in detail

  8. Understanding and motivating health care employees: integrating Maslow's hierarchy of needs, training and technology.

    Science.gov (United States)

    Benson, Suzanne G; Dundis, Stephen P

    2003-09-01

    This paper applies Maslow's Hierarchy of Needs Model to the challenges of understanding and motivating employees in a rapidly changing health care industry. The perspective that Maslow's Model brings is an essential element that should be considered as the health care arena is faced with reorganization, re-engineering, mergers, acquisitions, increases in learning demands, and the escalating role of technology in training. This paper offers a new perspective related to how Maslow's Model, as used in business/organizational settings, can be directly related to current workforce concerns: the need for security and freedom from stress, social belongingness, self-esteem, self-actualization, altered work/social environments, and new opportunities for learning and self-definition. Changes in health care will continue at an accelerated pace and with these changes will come the need for more and more training. The use of technology in training has heightened access, faster distribution, innovation and increased collaboration. However, with this technology come attendant challenges including keeping up with the technology, the increased pace of training, depersonalization, and fear of the unknown. The Maslow model provides a means for understanding these challenges in terms of universal individual needs. How does one motivate employees in the face of increased demands, particularly when they are being asked to meet these demands with fewer resources? The answer is, in large part, to make the employee feel secure, needed, and appreciated. This is not at all easy, but if leaders take into consideration the needs of the individual, the new technology that provides challenges and opportunities for meeting those needs, and provides the training to meet both sets of needs, enhanced employee motivation and commitment is possible.

  9. Metoder och verktyg för motivation till och integration av arbetsmiljöarbete

    OpenAIRE

    Åteg, Mattias; Nygren, Olle; Andersson, Ing-Marie; Laring, Jonas; Neely, Greg; Rosén, Gunnar

    2006-01-01

    Rapporten utgår från forskningsområdet "Hur kan och bör arbetsmiljöarbete bedrivas och integreras i organisationers kärnverksamhet?" vid tema SMARTA, Arbetslivsinstitutet. I ett tidigare arbete har ett antal egenskaper identifierats som viktiga för motivation och engagemang för arbetsmiljöarbete, sk Moveit-egenskaper. Dessa egenskaper och deras roll i arbetsmiljöarbetet ställs här i relation till perspektivet integrerat arbetsmiljöarbete, där arbetsmiljön ingår i styrsystemet och arbetsmiljöa...

  10. Motivational Support in Web 2.0 Learning Environments: A Regression Analysis Based on the Integrative Theory of Motivation, Volition and Performance

    Science.gov (United States)

    Huang, Wen-Hao David; Hood, Denice Ward; Yoo, Sun Joo

    2014-01-01

    Web 2.0 applications have been widely applied for teaching and learning in US higher education in recent years. Their potential impact on learning motivation and learner performance, however, has not attracted substantial research efforts. To better understand how Web 2.0 applications might impact learners' motivation in higher education…

  11. Arithmetic groups and their generalizations what, why, and how

    CERN Document Server

    Ji, Lizhen

    2010-01-01

    In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as \\mathbf{Z} or \\mathrm{SL}(n,\\mathbf{Z}). Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics.

  12. Integrating social networks and human social motives to achieve social influence at scale.

    Science.gov (United States)

    Contractor, Noshir S; DeChurch, Leslie A

    2014-09-16

    The innovations of science often point to ideas and behaviors that must spread and take root in communities to have impact. Ideas, practices, and behaviors need to go from accepted truths on the part of a few scientists to commonplace beliefs and norms in the minds of the many. Moving from scientific discoveries to public good requires social influence. We introduce a structured influence process (SIP) framework to explain how social networks (i.e., the structure of social influence) and human social motives (i.e., the process of social influence wherein one person's attitudes and behaviors affect another's) are used collectively to enact social influence within a community. The SIP framework advances the science of scientific communication by positing social influence events that consider both the "who" and the "how" of social influence. This framework synthesizes core ideas from two bodies of research on social influence. The first is network research on social influence structures, which identifies who are the opinion leaders and who among their network of peers shapes their attitudes and behaviors. The second is research on social influence processes in psychology, which explores how human social motives such as the need for accuracy or the need for affiliation stimulate behavior change. We illustrate the practical implications of the SIP framework by applying it to the case of reducing neonatal mortality in India.

  13. Integrating social networks and human social motives to achieve social influence at scale

    Science.gov (United States)

    Contractor, Noshir S.; DeChurch, Leslie A.

    2014-01-01

    The innovations of science often point to ideas and behaviors that must spread and take root in communities to have impact. Ideas, practices, and behaviors need to go from accepted truths on the part of a few scientists to commonplace beliefs and norms in the minds of the many. Moving from scientific discoveries to public good requires social influence. We introduce a structured influence process (SIP) framework to explain how social networks (i.e., the structure of social influence) and human social motives (i.e., the process of social influence wherein one person’s attitudes and behaviors affect another’s) are used collectively to enact social influence within a community. The SIP framework advances the science of scientific communication by positing social influence events that consider both the “who” and the “how” of social influence. This framework synthesizes core ideas from two bodies of research on social influence. The first is network research on social influence structures, which identifies who are the opinion leaders and who among their network of peers shapes their attitudes and behaviors. The second is research on social influence processes in psychology, which explores how human social motives such as the need for accuracy or the need for affiliation stimulate behavior change. We illustrate the practical implications of the SIP framework by applying it to the case of reducing neonatal mortality in India. PMID:25225373

  14. The arithmetic basis of special relativity

    International Nuclear Information System (INIS)

    Greenspan, D.

    1976-01-01

    Under relatively general particle and rocket frame motions, it is shown that, for special relativity, the basic concepts can be formulated and the basic properties deduced using only arithmetic. Particular attention is directed toward velocity, acceleration, proper time, momentum, energy, and 4-vectors in both space-time and Minkowski space, and to relativistic generalizations of Newton's second law. The resulting mathematical simplification is not only completely compatible with modern computer technology, but it yields dynamical equations that can be solved directly by such computers. Particular applications of the numerical equations, which are either Lorentz invariant or are directly related to Lorentz-invariant formulas, are made to the study of a relativistic harmonic oscillator and to the motion of an electric particle in a magnetic field. (author)

  15. Working memory moderates the effect of the integrative process of implicit and explicit autonomous motivation on academic achievement.

    Science.gov (United States)

    Gareau, Alexandre; Gaudreau, Patrick

    2017-11-01

    In previous research, autonomous motivation (AM) has been found to be associated with school achievement, but the relation has been largely heterogeneous across studies. AM has typically been assessed with explicit measures such as self-report questionnaires. Recent self-determination theory (SDT) research has suggested that converging implicit and explicit measures can be taken to characterize the integrative process in SDT. Drawing from dual-process theories, we contended that explicit AM is likely to promote school achievement when it is part of an integrated cognitive system that combines easily accessible mental representations (i.e., implicit AM) and efficient executive functioning. A sample of 272 university students completed a questionnaire and a lexical decision task to assess their explicit and implicit AM, respectively, and they also completed working memory capacity measures. Grades were obtained at the end of the semester to examine the short-term prospective effect of implicit and explicit AM, working memory, and their interaction. Results of moderation analyses have provided support for a synergistic interaction in which the association between explicit AM and academic achievement was positive and significant only for individuals with high level of implicit AM. Moreover, working memory was moderating the synergistic effect of explicit and implicit AM. Explicit AM was positively associated with academic achievement for students with average-to-high levels of working memory capacity, but only if their motivation operated synergistically with high implicit AM. The integrative process thus seems to hold better proprieties for achievement than the sole effect of explicit AM. Implications for SDT are outlined. © 2017 The British Psychological Society.

  16. "An integrative formal model of motivation and decision making: The MGPM*": Correction to Ballard et al. (2016).

    Science.gov (United States)

    2017-02-01

    Reports an error in "An integrative formal model of motivation and decision making: The MGPM*" by Timothy Ballard, Gillian Yeo, Shayne Loft, Jeffrey B. Vancouver and Andrew Neal ( Journal of Applied Psychology , 2016[Sep], Vol 101[9], 1240-1265). Equation A3 contained an error. This correct equation is provided in the erratum. (The following abstract of the original article appeared in record 2016-28692-001.) We develop and test an integrative formal model of motivation and decision making. The model, referred to as the extended multiple-goal pursuit model (MGPM*), is an integration of the multiple-goal pursuit model (Vancouver, Weinhardt, & Schmidt, 2010) and decision field theory (Busemeyer & Townsend, 1993). Simulations of the model generated predictions regarding the effects of goal type (approach vs. avoidance), risk, and time sensitivity on prioritization. We tested these predictions in an experiment in which participants pursued different combinations of approach and avoidance goals under different levels of risk. The empirical results were consistent with the predictions of the MGPM*. Specifically, participants pursuing 1 approach and 1 avoidance goal shifted priority from the approach to the avoidance goal over time. Among participants pursuing 2 approach goals, those with low time sensitivity prioritized the goal with the larger discrepancy, whereas those with high time sensitivity prioritized the goal with the smaller discrepancy. Participants pursuing 2 avoidance goals generally prioritized the goal with the smaller discrepancy. Finally, all of these effects became weaker as the level of risk increased. We used quantitative model comparison to show that the MGPM* explained the data better than the original multiple-goal pursuit model, and that the major extensions from the original model were justified. The MGPM* represents a step forward in the development of a general theory of decision making during multiple-goal pursuit. (PsycINFO Database Record (c

  17. An exploratory examination of the relationship between motivational factors and the degree to which the higher education faculty integrate computer-mediated communication (CMC) tools into their courses

    Science.gov (United States)

    Murage, Francis Ndwiga

    The stated research problem of this study was to examine the relationship between motivational factors and the degree to which the higher education faculty integrate CMC tools into their courses. The study population and sample involved higher education faculty teaching in science departments at one public university and three public colleges in the state of West Virginia (N = 153). A Likert-type rating scale survey was used to collect data based on the research questions. Two parts of the survey were adopted from previous studies while the other two were self-constructed. Research questions and hypothesis were analyzed using both descriptive and inferential analyses. The study results established a positive relationship between motivational factors and the degree the higher education faculty integrate CMC tools in their courses. The results in addition established that faculty are highly motivated to integrate CMC tools by intrinsic factors, moderately motivated by environmental factors and least motivated by extrinsic factors. The results also established that the most integrated CMC tools were those that support asynchronous methods of communication while the least integrated were those that support synchronous methods of communication. A major conclusion made was that members of higher education faculty are more likely to be motivated to integrate CMC tools into their courses by intrinsic factors rather than extrinsic or environmental factors. It was further concluded that intrinsic factors that supported and enhanced student learning as well as those that were altruistic in nature significantly influenced the degree of CMC integration. The study finally concluded that to larger extent, there is a relationship between motivational factors and the degree to which the higher education faculty integrate CMC tools in their courses. A major implication of this study was that institutions that wish to promote integration of CMC technologies should provide as much

  18. Motivating Pre-Service Teachers in Technology Integration of Web 2.0 for Teaching Internships

    Science.gov (United States)

    Kim, Hye Jeong; Jang, Hwan Young

    2015-01-01

    The aim of this study was to examine the predictors of pre-service teachers' use of Web 2.0 tools during a teaching internship, after a course that emphasized the use of the tools for instructional activities. Results revealed that integrating Web 2.0 tools during their teaching internship was strongly predicted by participants' perceived…

  19. An Examination of the Feasibility of Integrating Motivational Interviewing Techniques into FCS Cooperative Extension Programming

    Science.gov (United States)

    Radunovich, Heidi Liss; Ellis, Sarah; Spangler, Taylor

    2017-01-01

    Demonstrating program impact through behavior change is critical for the continued success of Family and Consumer Sciences (FCS) Cooperative Extension programming. However, the literature suggests that simply providing information to participants does not necessarily lead to behavior change. This study pilot tested the integration of Motivational…

  20. Integration of Professional Certification Examinations with the Financial Planning Curriculum: Increasing Efficiency, Motivation, and Professional Success

    Science.gov (United States)

    Goetz, Joseph W.; Zhu, Dandan; Hampton, Vickie L.; Chatterjee, Swarn; Salter, John

    2011-01-01

    This article provides a theoretical-based rationale and plan of action for educational programs to encourage and create opportunities for the integration of course study with professional exam preparation, while highlighting the complementary benefits for students, academic programs, and the financial services profession. Serving primarily as a…

  1. Modelling Student Satisfaction and Motivation in the Integrated Educational Environment: An Empirical study

    Science.gov (United States)

    Stukalina, Yulia

    2016-01-01

    Purpose: The purpose of this paper is to explore some issues related to enhancing the quality of educational services provided by a university in the agenda of integrating quality assurance activities and strategic management procedures. Design/methodology/approach: Employing multiple regression analysis the author has examined some factors that…

  2. Family members facilitating community re-integration and return to productivity following traumatic brain injury - motivations, roles and challenges.

    Science.gov (United States)

    Gagnon, Alicia; Lin, Jenny; Stergiou-Kita, Mary

    2016-01-01

    This study explores the experiences of family members in supporting community re-integration and return to productive occupations of the traumatic brain injury (TBI) survivor in order to: (i) describe family members' supportive roles, (ii) determine challenges family members experience in supporting the TBI survivor; and (iii) identify supports that family members require to maintain and enhance their roles. This qualitative descriptive study involved 14 interviews with immediate family members of TBI survivors. Data was analyzed using thematic analysis. Family members expressed strong motivation and engaged in six key roles to support TBI survivors: researcher, case manager, advocate, coach, activities of daily living (ADL)/instrumental ADLs and emotional supporter. Personal and family stressors and challenges navigating the health care system were perceived as challenges in meeting demands of their supportive roles. Stigma also presented a barrier to successful community and vocational re-integration. Subsequently, family members desired more education related to the functional implications of TBI, to be connected to health care and community resources, and sought a greater family-centred care approach. Family members require on-going counseling and community supports to prevent burnout and allow for their continued engagement in their supportive roles. Further education on how to navigate the health care system, access community programs and rights to workplace accommodation is also warranted. Family members are strongly motivated to support survivors' return to productive occupation following a traumatic brain injury, but require counseling and community support to enable their on-going engagement and prevent burnout. Family members can be further empowered through the implementation of family-centred care. Family members requested further education on the long-term functional implications of TBI, how to navigate the health care system, how to access community

  3. Frege, Dedekind, and Peano on the foundations of arithmetic

    CERN Document Server

    Gillies, Donald

    2013-01-01

    First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosop

  4. Assessing flood forecast uncertainty with fuzzy arithmetic

    Directory of Open Access Journals (Sweden)

    de Bruyn Bertrand

    2016-01-01

    Full Text Available Providing forecasts for flow rates and water levels during floods have to be associated with uncertainty estimates. The forecast sources of uncertainty are plural. For hydrological forecasts (rainfall-runoff performed using a deterministic hydrological model with basic physics, two main sources can be identified. The first obvious source is the forcing data: rainfall forecast data are supplied in real time by meteorological forecasting services to the Flood Forecasting Service within a range between a lowest and a highest predicted discharge. These two values define an uncertainty interval for the rainfall variable provided on a given watershed. The second source of uncertainty is related to the complexity of the modeled system (the catchment impacted by the hydro-meteorological phenomenon, the number of variables that may describe the problem and their spatial and time variability. The model simplifies the system by reducing the number of variables to a few parameters. Thus it contains an intrinsic uncertainty. This model uncertainty is assessed by comparing simulated and observed rates for a large number of hydro-meteorological events. We propose a method based on fuzzy arithmetic to estimate the possible range of flow rates (and levels of water making a forecast based on possible rainfalls provided by forcing and uncertainty model. The model uncertainty is here expressed as a range of possible values. Both rainfall and model uncertainties are combined with fuzzy arithmetic. This method allows to evaluate the prediction uncertainty range. The Flood Forecasting Service of Oise and Aisne rivers, in particular, monitors the upstream watershed of the Oise at Hirson. This watershed’s area is 310 km2. Its response time is about 10 hours. Several hydrological models are calibrated for flood forecasting in this watershed and use the rainfall forecast. This method presents the advantage to be easily implemented. Moreover, it permits to be carried out

  5. Corticostriatal-hypothalamic circuitry and food motivation: integration of energy, action and reward.

    Science.gov (United States)

    Kelley, Ann E; Baldo, Brian A; Pratt, Wayne E; Will, Matthew J

    2005-12-15

    Work over the past decade has supported the idea that discrete aspects of appetitive motivation are differentially mediated by separate but interacting neurochemical systems within the nucleus accumbens (Acb). We review herein a series of studies in rats comparing the effects of manipulating Acb amino acid, opioid, acetylcholine, and dopamine systems on tests of free-feeding and food-reinforced operant responding. Results from our laboratory and in the literature support three general conclusions: (1) GABA output neurons localized exclusively within the Acb shell directly influence hypothalamic effector mechanisms for feeding motor patterns, but do not participate in the execution of more complex food-seeking strategies; (2) enkephalinergic neurons distributed throughout the Acb and caudate-putamen mediate the hedonic impact of palatable (high sugar/fat) foods, and these neurons are under modulatory control by striatal cholinergic interneurons; and (3) dopamine transmission in the Acb governs general motoric and arousal processes related to response selection and invigoration, as well as motor learning-related plasticity. These dissociations may reflect the manner in which these neurochemical systems differentially access pallido-thalamo-cortical loops reaching the voluntary motor system (in the case of opioids and dopamine), versus more restricted efferent connections to hypothalamic motor/autonomic control columns (in the case of Acb shell GABA and glutamate systems). Moreover, we hypothesize that while these systems work in tandem to coordinate the anticipatory and consummatory phases of feeding with hypothalamic energy-sensing substrates, the striatal opioid network evolved a specialized capacity to promote overeating of energy-dense foods beyond acute homeostatic needs, to ensure an energy reserve for potential future famine.

  6. Arithmetical aspects of the large sieve inequality

    CERN Document Server

    2009-01-01

    This book is an elaboration of a series of lectures given at the Harish-Chandra Research Institute. The reader will be taken through a journey on the arithmetical sides of the large sieve inequality when applied to the Farey dissection. This will reveal connections between this inequality, the Selberg sieve and other less used notions like pseudo-characters and the $\\Lambda_Q$-function, as well as extend these theories. One of the leading themes of these notes is the notion of so-called\\emph{local models} that throws a unifying light on the subject. As examples and applications, the authors present, among other things, an extension of the Brun-Tichmarsh Theorem, a new proof of Linnik's Theorem on quadratic residues and an equally novel one of the Vinogradov three primes Theorem; the authors also consider the problem of small prime gaps, of sums of two squarefree numbers and several other ones, some of them being new, like a sharp upper bound for the number of twin primes $p$ that are such that $p+1$ is square...

  7. Conference on Number Theory and Arithmetic Geometry

    CERN Document Server

    Silverman, Joseph; Stevens, Glenn; Modular forms and Fermat’s last theorem

    1997-01-01

    This volume contains expanded versions of lectures given at an instructional conference on number theory and arithmetic geometry held August 9 through 18, 1995 at Boston University. Contributor's includeThe purpose of the conference, and of this book, is to introduce and explain the many ideas and techniques used by Wiles in his proof that every (semi-stable) elliptic curve over Q is modular, and to explain how Wiles' result can be combined with Ribet's theorem and ideas of Frey and Serre to show, at long last, that Fermat's Last Theorem is true. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serre's conjectures, Galois deformations, ...

  8. Verification of Linear (In)Dependence in Finite Precision Arithmetic

    Czech Academy of Sciences Publication Activity Database

    Rohn, Jiří

    2014-01-01

    Roč. 8, č. 3-4 (2014), s. 323-328 ISSN 1661-8289 Institutional support: RVO:67985807 Keywords : linear dependence * linear independence * pseudoinverse matrix * finite precision arithmetic * verification * MATLAB file Subject RIV: BA - General Mathematics

  9. The Duality Principle in Teaching Arithmetic and Geometric Series

    Science.gov (United States)

    Yeshurun, Shraga

    1978-01-01

    The author discusses the use of the duality principle in combination with the hierarchy of algebraic operations in helping students to retain and use definitions and rules for arithmetic and geometric sequences and series. (MN)

  10. Arithmetic convergent sequence space defined by modulus function

    Directory of Open Access Journals (Sweden)

    Taja Yaying

    2019-10-01

    Full Text Available The aim of this article is to introduce the sequence spaces $AC(f$ and $AS(f$ using arithmetic convergence and modulus function, and study algebraic and topological properties of this space, and certain inclusion results.

  11. Integration of oral health in primary health care through motivational interviewing for mothers of young children: A pilot study.

    Science.gov (United States)

    Batra, Manu; Shah, Aasim Farooq; Virtanen, Jorma I

    2018-01-01

    Early childhood caries (ECC) continues to affect children worldwide. In India, primary health centers (PHCs) comprises the primary tier where Accredited Social Health Activist (ASHA) provide integrated curative and preventive health care. The aim of the study was to pilot test the integration of oral health in primary health care through motivational interviewing (MI) for mothers of young children provided by ASHAs. The pilot study was conducted in Kashipur, Uttarakhand. From the six PHCs in Kashipur, three were randomly selected, one each was assigned to MI group, traditional health education group, and control group. From 60 mothers with 8-12 months child, ASHAs of all three groups gathered mother's knowledge regarding child's oral health using close-ended questionnaire and diagnosed clinical risk markers of ECC in children and ASHAs of Group A and B imparted the oral health education as per their training. The comparison of ASHA's performances on the MI training competency pre- and post-test showed an overall average of 74% improvement in post-test scores. Interexaminer reliability of the parallel clinical measurements by 6 ASHAs and the investigator for the maxillary central incisors showed 93% of agreement for both dental plaque and dental caries assessment with 0.86 and 0.89 kappa values, respectively. The health education through MI is feasible and can be cost-effective by utilization of ASHAs at PHCs to provide the oral health education to mothers which will in turn improve the oral health status of children.

  12. An Integrated Behavioural Model towards Evaluating and Influencing Energy Behaviour—The Role of Motivation in Behaviour Demand Response

    Directory of Open Access Journals (Sweden)

    Julia Blanke

    2017-12-01

    Full Text Available The change in the actual use of buildings by its occupants is receiving more and more attention. Over the lifecycle of a building the occupants and therefore the demands towards the buildings often change a lot. To match these altering conditions, particularly in the context of the demand for energy efficiency, purely technical approaches usually cannot solve the problem on their own or are not financially viable. It is therefore essential to take the behaviour of the end user into account and ask the fundamental question: “How is it possible to influence people’s behaviour towards a more pro-environmental outcome, and also in the long-term?” To approach this question we will present a model-driven approach for dynamically involving building occupants into the energy optimisation process. To do so we will further develop an integrated behavioural model based on established behavioural theories, having a closer look how motivational variables can be integrated into the process. This should lead to novel approaches for behaviour demand response, enabling additional demand shifting and shedding through targeted real-time engagement with energy prosumers.

  13. Some studies on arithmetical chaos in classical and quantum mechanics

    International Nuclear Information System (INIS)

    Bolte, J.

    1993-04-01

    Several aspects of classical and quantum mechanics applied to a class of strongly chaotic systems are studied. The latter consists of single particles moving without external forces on surfaces of constant negative Gaussian curvature whose corresponding fundamental groups are supplied with an arithmetic structure. It is shown that the arithmetical features of the considered systems lead to exceptional properties of the corresponding spectra of lengths of closed geodesics (periodic orbits). The most significant one is an exponential growth of degeneracies in these geodesic length spectra. Furthermore, the arithmetical systems are distinguished by a structure that appears as a generalization of geometric symmetries. These pseudosymmetries occur in the quantization of the classical arithmetic systems as Hecke operators, which form an infinite algebra of self-adjoint operators commuting with the Hamiltonian. The statistical properties of quantum energies in the arithmetical systems have previously been identified as exceptional. They do not fit into the general scheme of random matrix theory. It is shown with the help of a simplified model for the spectral form factor how the spectral statistics in arithmetical quantum chaos can be understood by the properties of the corresponding classical geodesic length spectra. A decisive role is played by the exponentially increasing multiplicities of lengths. The model developed for the level spacings distribution and for the number variance is compared to the corresponding quantities obtained from quantum energies for a specific arithmetical system. Finally, the convergence properties of a representation for the Selberg zeta function as a Dirichlet series are studied. It turns out that the exceptional classical and quantum mechanical properties shared by the arithmetical systems prohibit a convergence of this important function in the physically interesting domain. (orig.)

  14. Investigation of an American Arithmetic Text Book (I)

    OpenAIRE

    植村, 憲治; UEMURA, Kenji

    2006-01-01

    The teaching method of mathematics and/or arithmetic essentially does not depend on language or culture. In this paper we introduce and investigate an American arithmetic text book and teacher's book of kindergarten, named "Mathematics" published by McGraw-Hill Company. And we point out the difference of Japanese teaching methods from those of the U.S. especially from the point of the Problem Solving Method which is still not taught in Japan as a system.

  15. Youth Involvement in Politically Motivated Violence: Why Do Social Integration, Perceived Legitimacy, and Perceived Discrimination Matter?

    Directory of Open Access Journals (Sweden)

    Maarten S. De Waele

    2014-09-01

    Full Text Available Several major theories of crime causation have been applied to the study of violence towards persons and towards property (vandalism. Less frequently, these middle-range theoretical frameworks are applied to explain individual differences in political violence. Against a background of growing concern about right-wing political violence among adolescents, the present study examines the role of a number of independent variables derived from different theoretical frameworks in a sample of 2,879 Flemish adolescents. Using blockwise regression models, the independent effects of key independent variables from social control theory, procedural justice theory, general strain theory, social learning theory, and self-control theory are assessed. The results support an integrative approach towards the explanation of political violence. The implications of our findings for future studies on violent extremism are discussed.

  16. Testing a model of physical activity among mothers and fathers of young children: integrating self-determined motivation, planning, and the theory of planned behavior.

    Science.gov (United States)

    Hamilton, Kyra; Cox, Stephen; White, Katherine M

    2012-02-01

    Parents are at risk for inactivity; however, research into understanding parental physical activity (PA) is scarce. We integrated self-determined motivation, planning, and the theory of planned behavior (TPB) to better understand parental PA. Parents (252 mothers, 206 fathers) completed a main questionnaire assessing measures underpinning these constructs and a 1-week follow-up of PA behavior to examine whether self-determined motivation indirectly influenced intention via the TPB variables (i.e., attitude, subjective norm, and perceived behavioral control) and intention indirectly influenced behavior via planning. We found self-determined motivation on intention was fully mediated by the TPB variables and intention on behavior was partially mediated by the planning variables. In addition, slight differences in the model's paths between the sexes were revealed. The results illustrate the range of important determinants of parental PA and provide support for the integrated model in explaining PA decision making as well as the importance of examining sex differences.

  17. If Gravity is Geometry, is Dark Energy just Arithmetic?

    Science.gov (United States)

    Czachor, Marek

    2017-04-01

    Arithmetic operations (addition, subtraction, multiplication, division), as well as the calculus they imply, are non-unique. The examples of four-dimensional spaces, R+4 and (- L/2, L/2)4, are considered where different types of arithmetic and calculus coexist simultaneously. In all the examples there exists a non-Diophantine arithmetic that makes the space globally Minkowskian, and thus the laws of physics are formulated in terms of the corresponding calculus. However, when one switches to the `natural' Diophantine arithmetic and calculus, the Minkowskian character of the space is lost and what one effectively obtains is a Lorentzian manifold. I discuss in more detail the problem of electromagnetic fields produced by a pointlike charge. The solution has the standard form when expressed in terms of the non-Diophantine formalism. When the `natural' formalsm is used, the same solution looks as if the fields were created by a charge located in an expanding universe, with nontrivially accelerating expansion. The effect is clearly visible also in solutions of the Friedman equation with vanishing cosmological constant. All of this suggests that phenomena attributed to dark energy may be a manifestation of a miss-match between the arithmetic employed in mathematical modeling, and the one occurring at the level of natural laws. Arithmetic is as physical as geometry.

  18. Predictors of Academic Performance and School Engagement--Integrating Persistence, Motivation and Study Skills Perspectives Using Person-Centered and Variable-Centered Approaches

    Science.gov (United States)

    Moreira, Paulo A. S.; Dias, Paulo; Vaz, Filipa Machado; Vaz, Joao Machado

    2013-01-01

    There is a growing need for the integration of various theoretical perspectives on academic performance, especially the theories on educational persistence, and motivational theories. Recent models of students' engagement with school incorporate different dimensions of students, family and school. However, some authors are arguing that academic…

  19. Integrated Theory of Planned Behavior with Extrinsic Motivation to Predict Intention Not to Use Illicit Drugs by Fifth-Grade Students in Taiwan

    Science.gov (United States)

    Liao, Jung-Yu; Chang, Li-Chun; Hsu, Hsiao-Pei; Huang, Chiu-Mieh; Huang, Su-Fei; Guo, Jong-Long

    2017-01-01

    This study assessed the effects of a model that integrated the theory of planned behavior (TPB) with extrinsic motivation (EM) in predicting the intentions of fifth-grade students to not use illicit drugs. A cluster-sampling design was adopted in a cross-sectional survey (N = 571). The structural equation modeling results showed that the model…

  20. Interactivity And Mental Arithmetic: Coupling Mind And World Transforms And Enhances Performance

    Directory of Open Access Journals (Sweden)

    Guthrie Lisa G.

    2015-06-01

    Full Text Available Interactivity has been linked to better performance in problem solving, due in part to a more efficient allocation of attentional resources, a better distribution of cognitive load, but perhaps more important by enabling the reasoner to shape and reshape the physical problem presentation to promote the development of the problem solution. Interactivity in solving quotidian arithmetic problems involves gestures, pointing, and the recruitment of artefacts to facilitate computation and augment efficiency. In the experiment reported here, different types of interactivity were examined with a series of mental arithmetic problems. Using a repeated-measures design, participants solved series of five 11-digit sums in four conditions that varied in the type of interactivity: (i no interactivity (participants solved the problems with their hands on the table top, (ii pointing (participants could point at the numbers, (iii pen and paper (participants could note interim totals with a pen, and (iv tokens (the sums were presented as 11 numbered tokens the arrangement of which participants were free to modify as they proceeded to the solution. Performance in the four conditions was measured in terms of accuracy, calculation error, and efficiency (a ratio composed of the proportion correct over the proportion of time invested in working on the sums. These quantitative analyses were supplemented by a detailed qualitative examination of a participant’s actions in the different conditions. The integration of artefacts, such as tokens or a pen, offered reasoners the opportunity to reconfigure the physical presentation of the problem, enacting different arithmetic strategies: the affordance landscape shifts as the problem trajectory is enacted through interactivity, and this generally produced better “mental” arithmetic performance. Participants also felt more positive about and better engaged with the task when they could reconfigure the problem presentation

  1. Interstructure Lattices and Types of Peano Arithmetic

    Science.gov (United States)

    Abdul-Quader, Athar

    The collection of elementary substructures of a model of PA forms a lattice, and is referred to as the substructure lattice of the model. In this thesis, we study substructure and interstructure lattices of models of PA. We apply techniques used in studying these lattices to other problems in the model theory of PA. In Chapter 2, we study a problem that had its origin in Simpson ([Sim74]), who used arithmetic forcing to show that every countable model of PA has an expansion to PA* that is pointwise definable. Enayat ([Ena88]) later showed that there are 2N0 models with the property that every expansion to PA* is pointwise definable. In this Chapter, we use techniques involved in representations of lattices to show that there is a model of PA with this property which contains an infinite descending chain of elementary cuts. In Chapter 3, we study the question of when subsets can be coded in elementary end extensions with prescribed interstructure lattices. This problem originated in Gaifman [Gai76], who showed that every model of PA has a conservative, minimal elementary end extension. That is, every model of PA has a minimal elementary end extension which codes only definable sets. Kossak and Paris [KP92] showed that if a model is countable and a subset X can be coded in any elementary end extension, then it can be coded in a minimal extension. Schmerl ([Sch14] and [Sch15]) extended this work by considering which collections of sets can be the sets coded in a minimal elementary end extension. In this Chapter, we extend this work to other lattices. We study two questions: given a countable model M, which sets can be coded in an elementary end extension such that the interstructure lattice is some prescribed finite distributive lattice; and, given an arbitrary model M, which sets can be coded in an elementary end extension whose interstructure lattice is a finite Boolean algebra?

  2. Motives and activities for continuing professional development: An exploration of their relationships by integrating literature and interview data.

    Science.gov (United States)

    Pool, Inge A; Poell, Rob F; Berings, Marjolein G M C; Ten Cate, Olle

    2016-03-01

    To effectively enhance professional development, it is important to understand the motivational factors behind nurses' engagement in particular types of learning activities. Nurses have various motives for professional development and utilise different learning activities. Not much is known about how these relate. The aim of this study was to explore the relationship between nurses' motives and activities for continuing professional development, by examining in which types of learning activities nurses engage, with which motives, and whether certain motives are associated with certain learning activities. A qualitative study using semi-structured interviews. Twenty-one nurses in academic and general Dutch hospitals participated. Interview data on nurses' learning biographies were analysed using a literature-based framework on motives and learning activities for continuing professional development. As recent classifications of nurses' motives for professional development were absent, the literature was reviewed for motives, using three databases. The interview transcripts were analysed for motives, learning activities and their relationships. Nine motives and four categories of learning activities for continuing professional development were delineated. Increasing competence was the primary motive that stimulated nurses to engage in self-directed learning during work, and in formal learning activities. To comply with requirements, they engaged in mandatory courses. To deepen knowledge, they registered for conferences. To develop their careers, they enrolled in postgraduate education. Five other motives were not mentioned as frequently. Specific motives were found to be related to engagement in particular learning activities. Nurses could use these findings to increase their awareness of why and how they develop professionally, and managers and human resource development professionals could develop approaches that would better suit nurses' needs. Copyright © 2016

  3. Individual differences in children's understanding of inversion and arithmetical skill.

    Science.gov (United States)

    Gilmore, Camilla K; Bryant, Peter

    2006-06-01

    Background and aims. In order to develop arithmetic expertise, children must understand arithmetic principles, such as the inverse relationship between addition and subtraction, in addition to learning calculation skills. We report two experiments that investigate children's understanding of the principle of inversion and the relationship between their conceptual understanding and arithmetical skills. A group of 127 children from primary schools took part in the study. The children were from 2 age groups (6-7 and 8-9 years). Children's accuracy on inverse and control problems in a variety of presentation formats and in canonical and non-canonical forms was measured. Tests of general arithmetic ability were also administered. Children consistently performed better on inverse than control problems, which indicates that they could make use of the inverse principle. Presentation format affected performance: picture presentation allowed children to apply their conceptual understanding flexibly regardless of the problem type, while word problems restricted their ability to use their conceptual knowledge. Cluster analyses revealed three subgroups with different profiles of conceptual understanding and arithmetical skill. Children in the 'high ability' and 'low ability' groups showed conceptual understanding that was in-line with their arithmetical skill, whilst a 3rd group of children had more advanced conceptual understanding than arithmetical skill. The three subgroups may represent different points along a single developmental path or distinct developmental paths. The discovery of the existence of the three groups has important consequences for education. It demonstrates the importance of considering the pattern of individual children's conceptual understanding and problem-solving skills.

  4. Integration of oral health in primary health care through motivational interviewing for mothers of young children: A pilot study

    Directory of Open Access Journals (Sweden)

    Manu Batra

    2018-01-01

    Full Text Available Introduction: Early childhood caries (ECC continues to affect children worldwide. In India, primary health centers (PHCs comprises the primary tier where Accredited Social Health Activist (ASHA provide integrated curative and preventive health care. The aim of the study was to pilot test the integration of oral health in primary health care through motivational interviewing (MI for mothers of young children provided by ASHAs. Subjects and Methods: The pilot study was conducted in Kashipur, Uttarakhand. From the six PHCs in Kashipur, three were randomly selected, one each was assigned to MI group, traditional health education group, and control group. From 60 mothers with 8–12 months child, ASHAs of all three groups gathered mother's knowledge regarding child's oral health using close-ended questionnaire and diagnosed clinical risk markers of ECC in children and ASHAs of Group A and B imparted the oral health education as per their training. Results: The comparison of ASHA's performances on the MI training competency pre- and post-test showed an overall average of 74% improvement in post–test scores. Interexaminer reliability of the parallel clinical measurements by 6 ASHAs and the investigator for the maxillary central incisors showed 93% of agreement for both dental plaque and dental caries assessment with 0.86 and 0.89 kappa values, respectively. Conclusion: The health education through MI is feasible and can be cost-effective by utilization of ASHAs at PHCs to provide the oral health education to mothers which will in turn improve the oral health status of children.

  5. Feeling loved and integrated or lonely and rejected in everyday life: The role of age and social motivation.

    Science.gov (United States)

    Nikitin, Jana; Freund, Alexandra M

    2018-06-01

    Social approach and social avoidance goals (i.e., approach of positive and avoidance of negative outcomes in social situations) are important predictors of the feeling of being socially integrated or isolated. However, little is known about the development of these goals across adulthood. In a large diary study with N = 744 young (18-39 years), middle-aged (40-59 years), and older adults (60-83 years), we tested the hypothesis that the adaptiveness of social goals changes across adulthood: Social approach goals were hypothesized to be adaptive during young adulthood when adult social relationships are to be established. In contrast, social avoidance goals were hypothesized to become more adaptive with age as people are increasingly motivated to avoid interpersonal tension. Our findings support these hypotheses: Social approach goals were positively and social avoidance goals negatively associated with younger but not with middle-aged and older adults' daily social well-being. These results were robust across different situations (positive, negative) and different types of relationships (close, peripheral). The study highlights the changing role of social approach and avoidance goals for daily social well-being across adulthood. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

  6. From motivation and cognition theories to everyday applications and back again: the case of product-integrated information and feedback

    Energy Technology Data Exchange (ETDEWEB)

    McCalley, L.T. [Technical Univ. Eindhoven (Netherlands)

    2003-07-01

    Various moderators of the relationship of goal setting and feedback are explored in four examples of applied empirical research. A selection of theoretical frameworks borrowed from varied disciplines guided the studies and are discussed in terms of their value to the particular questions investigated. The experiments all entailed the use of product-integrated energy feedback and illustrate a progressive understanding of how goals, feedback and other information provided to the user can generate or support better energy conservation. Experiment 1 exemplifies the successful use of combining goal setting and feedback and provides a basic understanding of the interaction from the perspectives of goal setting theory and Feedback Intervention Theory (FIT). Experiment 2 compares FIT to another, fundamentally different, cognitive framework, and the minimal justification principle. The study gives insight into how goals and feedback work through attention focus and the goal hierarchy to guide behaviour, the role of attitude in this process, and offers evidence that FIT better accounts for task specific conservation behaviour. Experiment 3 addresses the role of goals and information in strategy planning through the perspective of goal setting theory. Results of this study suggest the need for more development of the basic theory and illustrate the strong motivational properties of having a goal. Experiment 4 investigates a more fundamental process, anchoring bias, taken from decision theory and the theory of rational choice. This experiment was based again on FIT and provided further evidence of behavioural control through the focus of attention at a particular level of the goal hierarchy.

  7. From motivation and cognition theories to everyday applications and back again. The case of product-integrated information and feedback

    Energy Technology Data Exchange (ETDEWEB)

    McCalley, L.T. [Technical University Eindhoven/ TUE, Eindhoven (Netherlands)

    2003-07-01

    Various moderators of the relationship of goal setting and feedback are explored in four examples of applied empirical research. A selection of theoretical frameworks borrowed from varied disciplines guided the studies and are discussed in terms of their value to the particular questions investigated. The experiments all entailed the use of product-integrated energy feedback and illustrate a progressive understanding of how goals, feedback and other information provided to the user can generate or support better energy conservation. Experiment 1 exemplifies the successful use of combining goal setting and feedback and provides a basic understanding of the interaction from the perspectives of goal setting theory and Feedback Intervention Theory (FIT). Experiment 2 compares FIT to another, fundamentally different, cognitive framework, and the minimal justification principle. The study gives insight into how goals and feedback work through attention focus and the goal hierarchy to guide behaviour, the role of attitude in this process, and offers evidence that FIT better accounts for task specific conservation behaviour. Experiment 3 addresses the role of goals and information in strategy planning through the perspective of goal setting theory. Results of this study suggest the need for more development of the basic theory and illustrate the strong motivational properties of having a goal. Experiment 4 investigates a more fundamental process, anchoring bias, taken from decision theory and the theory of rational choice. This experiment was based again on FIT and provided further evidence of behavioural control through the focus of attention at a particular level of the goal hierarchy.

  8. Learner Motivation and Interest

    OpenAIRE

    Daskalovska, Nina; Gudeva, Liljana Koleva; Ivanovska, Biljana

    2012-01-01

    There are a lot of factors which influence success in learning. However, one of the most important factors is the learner’s motivation to reach the desired goals. Research and experience show that learners with strong motivation can achieve a lot regardless of circumstances. Studies of motivation in second language learning have led to several distinctions, one of which is the distinction between integrative and instrumental motivation. According to this distinction, some learners are motivat...

  9. Training of Attention in Children With Low Arithmetical Achievement

    Directory of Open Access Journals (Sweden)

    Maria Guarnera

    2014-05-01

    Full Text Available This study focuses on the role of attentional processes in arithmetical skills and examines if training of basic attentive skills may improve also working memory abilities reducing arithmetic difficulties. In order to study the efficacy of attentional treatment in arithmetic achievement and in enhancing working memory abilities a test-treatment-retest quasi experimental design was adopted. The research involved 14 children, attending fourth and fifth grades, with Arithmetical Learning Disabilities (ALD assigned to experimental and control conditions. The numerical comprehension and calculation processes were assessed using the ABCA battery (Lucangeli, Tressoldi, & Fiore, 1998. Attentional abilities were evaluated using a multitask computerized assessment battery Attenzione e Concentrazione (Di Nuovo, 2000. WM abilities were evaluated by Listening span task, Digit span backward, Making verbal trails and Making colour trails. The results showed that intensive computerized attention training increased basic attentive skills and arithmetical performances with respect to numeric system in children with ALD. No effect on working memory abilities was found. Results are also important from a clinical perspective, since they may suggest strategies for planning individualized training programs.

  10. Patterns of problem-solving in children's literacy and arithmetic.

    Science.gov (United States)

    Farrington-Flint, Lee; Vanuxem-Cotterill, Sophie; Stiller, James

    2009-11-01

    Patterns of problem-solving among 5-to-7 year-olds' were examined on a range of literacy (reading and spelling) and arithmetic-based (addition and subtraction) problem-solving tasks using verbal self-reports to monitor strategy choice. The results showed higher levels of variability in the children's strategy choice across Years I and 2 on the arithmetic (addition and subtraction) than literacy-based tasks (reading and spelling). However, across all four tasks, the children showed a tendency to move from less sophisticated procedural-based strategies, which included phonological strategies for reading and spelling and counting-all and finger modellingfor addition and subtraction, to more efficient retrieval methods from Years I to 2. Distinct patterns in children's problem-solving skill were identified on the literacy and arithmetic tasks using two separate cluster analyses. There was a strong association between these two profiles showing that those children with more advanced problem-solving skills on the arithmetic tasks also showed more advanced profiles on the literacy tasks. The results highlight how different-aged children show flexibility in their use of problem-solving strategies across literacy and arithmetical contexts and reinforce the importance of studying variations in children's problem-solving skill across different educational contexts.

  11. Understanding the motivations of health-care providers in performing female genital mutilation: an integrative review of the literature.

    Science.gov (United States)

    Doucet, Marie-Hélène; Pallitto, Christina; Groleau, Danielle

    2017-03-23

    Female genital mutilation (FGM) is a traditional harmful practice that can cause severe physical and psychological damages to girls and women. Increasingly, trained health-care providers carry out the practice at the request of families. It is important to understand the motivations of providers in order to reduce the medicalization of FGM. This integrative review identifies, appraises and summarizes qualitative and quantitative literature exploring the factors that are associated with the medicalization of FGM and/or re-infibulation. Literature searches were conducted in PubMed, CINAHL and grey literature databases. Hand searches of identified studies were also examined. The "CASP Qualitative Research Checklist" and the "STROBE Statement" were used to assess the methodological quality of the qualitative and quantitative studies respectively. A total of 354 articles were reviewed for inclusion. Fourteen (14) studies, conducted in countries where FGM is largely practiced as well as in countries hosting migrants from these regions, were included. The main findings about the motivations of health-care providers to practice FGM were: (1) the belief that performing FGM would be less harmful for girls or women than the procedure being performed by a traditional practitioner (the so-called "harm reduction" perspective); (2) the belief that the practice was justified for cultural reasons; (3) the financial gains of performing the procedure; (4) responding to requests of the community or feeling pressured by the community to perform FGM. The main reasons given by health-care providers for not performing FGM were that they (1) are concerned about the risks that FGM can cause for girls' and women's health; (2) are preoccupied by the legal sanctions that might result from performing FGM; and (3) consider FGM to be a "bad practice". The findings of this review can inform public health program planners, policy makers and researchers to adapt or create strategies to end

  12. Interaction Effects of Gender and Motivational Beliefs on Self-Regulated Learning: A Study at ICT- Integrated Schools

    Science.gov (United States)

    Abdullah, Melissa Ng Lee Yen

    2016-01-01

    Purpose: This study aimed to examine the interaction effects of gender and motivational beliefs on students' self-regulated learning. Specifically, three types of motivational beliefs under the Expectancy-Value Model were examined, namely self-efficacy, control beliefs and anxiety. Methodology: A quantitative correlational research design was used…

  13. Higher arithmetic an algorithmic introduction to number theory

    CERN Document Server

    Edwards, Harold M

    2008-01-01

    Although number theorists have sometimes shunned and even disparaged computation in the past, today's applications of number theory to cryptography and computer security demand vast arithmetical computations. These demands have shifted the focus of studies in number theory and have changed attitudes toward computation itself. The important new applications have attracted a great many students to number theory, but the best reason for studying the subject remains what it was when Gauss published his classic Disquisitiones Arithmeticae in 1801: Number theory is the equal of Euclidean geometry--some would say it is superior to Euclidean geometry--as a model of pure, logical, deductive thinking. An arithmetical computation, after all, is the purest form of deductive argument. Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Hands-on experience with the application of algorithms to computational examples enables students to m...

  14. Lossless Image Compression Based on Multiple-Tables Arithmetic Coding

    Directory of Open Access Journals (Sweden)

    Rung-Ching Chen

    2009-01-01

    Full Text Available This paper is intended to present a lossless image compression method based on multiple-tables arithmetic coding (MTAC method to encode a gray-level image f. First, the MTAC method employs a median edge detector (MED to reduce the entropy rate of f. The gray levels of two adjacent pixels in an image are usually similar. A base-switching transformation approach is then used to reduce the spatial redundancy of the image. The gray levels of some pixels in an image are more common than those of others. Finally, the arithmetic encoding method is applied to reduce the coding redundancy of the image. To promote high performance of the arithmetic encoding method, the MTAC method first classifies the data and then encodes each cluster of data using a distinct code table. The experimental results show that, in most cases, the MTAC method provides a higher efficiency in use of storage space than the lossless JPEG2000 does.

  15. Optimized 4-bit Quantum Reversible Arithmetic Logic Unit

    Science.gov (United States)

    Ayyoub, Slimani; Achour, Benslama

    2017-08-01

    Reversible logic has received a great attention in the recent years due to its ability to reduce the power dissipation. The main purposes of designing reversible logic are to decrease quantum cost, depth of the circuits and the number of garbage outputs. The arithmetic logic unit (ALU) is an important part of central processing unit (CPU) as the execution unit. This paper presents a complete design of a new reversible arithmetic logic unit (ALU) that can be part of a programmable reversible computing device such as a quantum computer. The proposed ALU based on a reversible low power control unit and small performance parameters full adder named double Peres gates. The presented ALU can produce the largest number (28) of arithmetic and logic functions and have the smallest number of quantum cost and delay compared with existing designs.

  16. The geometric and arithmetic volume of Shimura varieties of orthogonal type

    CERN Document Server

    Hörmann, Fritz

    2015-01-01

    This book outlines a functorial theory of integral models of (mixed) Shimura varieties and of their toroidal compactifications, for odd primes of good reduction. This is the integral version, developed in the author's thesis, of the theory invented by Deligne and Pink in the rational case. In addition, the author develops a theory of arithmetic Chern classes of integral automorphic vector bundles with singular metrics using the work of Burgos, Kramer and Kühn. The main application is calculating arithmetic volumes or "heights" of Shimura varieties of orthogonal type using Borcherds' famous modular forms with their striking product formula-an idea due to Bruinier-Burgos-Kühn and Kudla. This should be seen as an Arakelov analogue of the classical calculation of volumes of orthogonal locally symmetric spaces by Siegel and Weil. In the latter theory, the volumes are related to special values of (normalized) Siegel Eisenstein series. In this book, it is proved that the Arakelov analogues are related to special d...

  17. From motivation and cognition theories to everyday applications and back again: the case of product-integrated information and feedback

    Energy Technology Data Exchange (ETDEWEB)

    McCalley, L.T. [Technical University Eindhoven/TUE, Den Dolech 2, P.O. Box 513, Eindhoven 5600 MB (Netherlands)

    2006-01-01

    Various moderators of the relationship of goal setting and feedback are explored in four examples of applied empirical research. A selection of theoretical frameworks adapted from varied disciplines guided the studies and are discussed in terms of their value to the particular questions investigated. The experiments all entailed the use of product-integrated energy feedback and illustrate a progressive understanding of how goals, feedback and other information provided to the user can generate or support better energy conservation. Experiment 1 exemplifies the successful use of combining goal setting and feedback, and provides a basic understanding of the interaction from the perspectives of goal setting theory and feedback intervention theory (FIT). Experiment 2 compares FIT to another, fundamentally different, cognitive framework, and the minimal justification principle. The study gives insight into how goals and feedback work through attention focus and the goal hierarchy to guide behavior, the role of attitude in this process, and offers evidence that FIT better accounts for task specific conservation behavior. Experiment 3 addresses the role of goals and information in strategy planning through the perspective of goal setting theory. Results of this study suggest the need for more development of the basic theory and illustrate the strong motivational properties of having a goal. Experiment 4 investigates a more fundamental process, anchoring bias, taken from decision theory and the theory of rational choice. This experiment was based again on FIT and provided further evidence of behavioral control through the focus of attention at a particular level of the goal hierarchy. Findings are discussed in terms of potential energy savings and policy development impact. (author)

  18. From motivation and cognition theories to everyday applications and back again: the case of product-integrated information and feedback

    International Nuclear Information System (INIS)

    McCalley, L.T.

    2006-01-01

    Various moderators of the relationship of goal setting and feedback are explored in four examples of applied empirical research. A selection of theoretical frameworks adapted from varied disciplines guided the studies and are discussed in terms of their value to the particular questions investigated. The experiments all entailed the use of product-integrated energy feedback and illustrate a progressive understanding of how goals, feedback and other information provided to the user can generate or support better energy conservation. Experiment 1 exemplifies the successful use of combining goal setting and feedback, and provides a basic understanding of the interaction from the perspectives of goal setting theory and feedback intervention theory (FIT). Experiment 2 compares FIT to another, fundamentally different, cognitive framework, and the minimal justification principle. The study gives insight into how goals and feedback work through attention focus and the goal hierarchy to guide behavior, the role of attitude in this process, and offers evidence that FIT better accounts for task specific conservation behavior. Experiment 3 addresses the role of goals and information in strategy planning through the perspective of goal setting theory. Results of this study suggest the need for more development of the basic theory and illustrate the strong motivational properties of having a goal. Experiment 4 investigates a more fundamental process, anchoring bias, taken from decision theory and the theory of rational choice. This experiment was based again on FIT and provided further evidence of behavioral control through the focus of attention at a particular level of the goal hierarchy. Findings are discussed in terms of potential energy savings and policy development impact

  19. Should we naturalize mind, or should we arithmetize matter?

    Directory of Open Access Journals (Sweden)

    Marchal Bruno

    2017-12-01

    Full Text Available We provide an argument showing that once we assume the mechanist hypothesis in the cognitive science then we have to explain physics from intensional number theory and/or mathematical computer science alone. The proof is constructive. It shows how to derive the physical laws from elementary arithmetic. It makes the computationalist thesis empirically refutable, by comparing the physics extracted from numbers and the inferred physics from observation. The proof shows that if mechanism is true, we cannot naturalize the mind, and we have to arithmetize matter, or beliefs in matter, instead.

  20. Bit-wise arithmetic coding for data compression

    Science.gov (United States)

    Kiely, A. B.

    1994-01-01

    This article examines the problem of compressing a uniformly quantized independent and identically distributed (IID) source. We present a new compression technique, bit-wise arithmetic coding, that assigns fixed-length codewords to the quantizer output and uses arithmetic coding to compress the codewords, treating the codeword bits as independent. We examine the performance of this method and evaluate the overhead required when used block-adaptively. Simulation results are presented for Gaussian and Laplacian sources. This new technique could be used as the entropy coder in a transform or subband coding system.

  1. Trinary signed-digit arithmetic using an efficient encoding scheme

    Science.gov (United States)

    Salim, W. Y.; Alam, M. S.; Fyath, R. S.; Ali, S. A.

    2000-09-01

    The trinary signed-digit (TSD) number system is of interest for ultrafast optoelectronic computing systems since it permits parallel carry-free addition and borrow-free subtraction of two arbitrary length numbers in constant time. In this paper, a simple coding scheme is proposed to encode the decimal number directly into the TSD form. The coding scheme enables one to perform parallel one-step TSD arithmetic operation. The proposed coding scheme uses only a 5-combination coding table instead of the 625-combination table reported recently for recoded TSD arithmetic technique.

  2. File compression and encryption based on LLS and arithmetic coding

    Science.gov (United States)

    Yu, Changzhi; Li, Hengjian; Wang, Xiyu

    2018-03-01

    e propose a file compression model based on arithmetic coding. Firstly, the original symbols, to be encoded, are input to the encoder one by one, we produce a set of chaotic sequences by using the Logistic and sine chaos system(LLS), and the values of this chaotic sequences are randomly modified the Upper and lower limits of current symbols probability. In order to achieve the purpose of encryption, we modify the upper and lower limits of all character probabilities when encoding each symbols. Experimental results show that the proposed model can achieve the purpose of data encryption while achieving almost the same compression efficiency as the arithmetic coding.

  3. Intrinsic motivation and learning in a schizophrenia spectrum sample.

    Science.gov (United States)

    Choi, Jimmy; Medalia, Alice

    2010-05-01

    A motivation is a telling hallmark of negative symptomatology in schizophrenia, and it impacts nearly every facet of behavior, including inclination to attempt the difficult cognitive tasks involved in cognitive remediation therapy. Experiences of external reward, reinforcement, and hedonic anticipatory enjoyment are diminished in psychosis, so therapeutics which instead target intrinsic motivation for cognitive tasks may enhance task engagement, and subsequently, remediation outcome. We examined whether outpatients could attain benefits from an intrinsically motivating instructional approach which (a) presents learning materials in a meaningful game-like context, (b) personalizes elements of the learning materials into themes of high interest value, and (c) offers choices so patients can increase their control over the learning process. We directly compared one learning method that incorporated the motivational paradigm into an arithmetic learning program against another method that carefully manipulated out the motivational variables in the same learning program. Fifty-seven subjects with schizophrenia or schizoaffective disorder were randomly assigned to one of the two learning programs for 10 thirty-minute sessions while an intent-to-treat convenience subsample (n=15) was used to account for practice effect. Outcome measures were arithmetic learning, attention, motivation, self competency, and symptom severity. Results showed the motivational group (a) acquired more arithmetic skill, (b) possessed greater intrinsic motivation for the task, (c) reported greater feelings of self competency post-treatment, and (d) demonstrated better post-test attention. Interestingly, baseline perception of self competency was a significant predictor of post-test arithmetic scores. Results demonstrated that incorporating intrinsically motivating instructional techniques into a difficult cognitive task promoted greater learning of the material, higher levels of intrinsic

  4. Adaptive Binary Arithmetic Coder-Based Image Feature and Segmentation in the Compressed Domain

    Directory of Open Access Journals (Sweden)

    Hsi-Chin Hsin

    2012-01-01

    Full Text Available Image compression is necessary in various applications, especially for efficient transmission over a band-limited channel. It is thus desirable to be able to segment an image in the compressed domain directly such that the burden of decompressing computation can be avoided. Motivated by the adaptive binary arithmetic coder (MQ coder of JPEG2000, we propose an efficient scheme to segment the feature vectors that are extracted from the code stream of an image. We modify the Compression-based Texture Merging (CTM algorithm to alleviate the influence of overmerging problem by making use of the rate distortion information. Experimental results show that the MQ coder-based image segmentation is preferable in terms of the boundary displacement error (BDE measure. It has the advantage of saving computational cost as the segmentation results even at low rates of bits per pixel (bpp are satisfactory.

  5. The Role of Motivation in Language Learning

    OpenAIRE

    Rahman, Anwar

    2011-01-01

    The mastery of English learning is influenced by some variables, one of them is motivation. Motivation in learning second language is classified as integrative motivation and instrumental motivation. Some experts of language teaching also categorized motivation into two types namely intrinsic motivation and extrinsic motivation. This paper discusses about kinds of motivation and how it takes a role in influencing students mastery in learning language. It was literature study that focused to f...

  6. Cognitive mechanisms underlying third graders' arithmetic skills: Expanding the pathways to mathematics model.

    Science.gov (United States)

    Träff, Ulf; Olsson, Linda; Skagerlund, Kenny; Östergren, Rickard

    2018-03-01

    A modified pathways to mathematics model was used to examine the cognitive mechanisms underlying arithmetic skills in third graders. A total of 269 children were assessed on tasks tapping the four pathways and arithmetic skills. A path analysis showed that symbolic number processing was directly supported by the linguistic and approximate quantitative pathways. The direct contribution from the four pathways to arithmetic proficiency varied; the linguistic pathway supported single-digit arithmetic and word problem solving, whereas the approximate quantitative pathway supported only multi-digit calculation. The spatial processing and verbal working memory pathways supported only arithmetic word problem solving. The notion of hierarchical levels of arithmetic was supported by the results, and the different levels were supported by different constellations of pathways. However, the strongest support to the hierarchical levels of arithmetic were provided by the proximal arithmetic skills. Copyright © 2017 Elsevier Inc. All rights reserved.

  7. A Non-Arithmetical Gödel Logic

    Czech Academy of Sciences Publication Activity Database

    Hájek, Petr

    2005-01-01

    Roč. 13, č. 4 (2005), s. 435-441 ISSN 1367-0751 R&D Projects: GA AV ČR IAA100300503 Institutional research plan: CEZ:AV0Z10300504 Keywords : fuzzy logic * Gödel logic * arithmetical hierarchy Subject RIV: BA - General Mathematics Impact factor: 0.382, year: 2005

  8. Why Is Learning Fraction and Decimal Arithmetic so Difficult?

    Science.gov (United States)

    Lortie-Forgues, Hugues; Tian, Jing; Siegler, Robert S.

    2015-01-01

    Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability to succeed in many professions. Unfortunately, these capabilities pose large difficulties for many children and adults, and students' proficiency in them has shown little sign of improvement over the past three decades. To summarize what is known about…

  9. Schema Knowledge for Solving Arithmetic Story Problems: Some Affective Components.

    Science.gov (United States)

    Marshall, Sandra P.

    This report discusses the role of affect in cognitive processing. The importance of affect in processing mathematical information is described in the context of solving arithmetic story problems. Some ideas are offered about the way affective responses to mathematical problem solving situations influence the development, maintenance, and retrieval…

  10. Bit-Wise Arithmetic Coding For Compression Of Data

    Science.gov (United States)

    Kiely, Aaron

    1996-01-01

    Bit-wise arithmetic coding is data-compression scheme intended especially for use with uniformly quantized data from source with Gaussian, Laplacian, or similar probability distribution function. Code words of fixed length, and bits treated as being independent. Scheme serves as means of progressive transmission or of overcoming buffer-overflow or rate constraint limitations sometimes arising when data compression used.

  11. A wild model of linear arithmetic and discretely ordered modules

    Czech Academy of Sciences Publication Activity Database

    Glivický, Petr; Pudlák, Pavel

    2017-01-01

    Roč. 63, č. 6 (2017), s. 501-508 ISSN 0942-5616 EU Projects: European Commission(XE) 339691 - FEALORA Institutional support: RVO:67985840 Keywords : linear arithmetics Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.250, year: 2016

  12. Simple arithmetic: not so simple for highly math anxious individuals.

    Science.gov (United States)

    Chang, Hyesang; Sprute, Lisa; Maloney, Erin A; Beilock, Sian L; Berman, Marc G

    2017-12-01

    Fluency with simple arithmetic, typically achieved in early elementary school, is thought to be one of the building blocks of mathematical competence. Behavioral studies with adults indicate that math anxiety (feelings of tension or apprehension about math) is associated with poor performance on cognitively demanding math problems. However, it remains unclear whether there are fundamental differences in how high and low math anxious individuals approach overlearned simple arithmetic problems that are less reliant on cognitive control. The current study used functional magnetic resonance imaging to examine the neural correlates of simple arithmetic performance across high and low math anxious individuals. We implemented a partial least squares analysis, a data-driven, multivariate analysis method to measure distributed patterns of whole-brain activity associated with performance. Despite overall high simple arithmetic performance across high and low math anxious individuals, performance was differentially dependent on the fronto-parietal attentional network as a function of math anxiety. Specifically, low-compared to high-math anxious individuals perform better when they activate this network less-a potential indication of more automatic problem-solving. These findings suggest that low and high math anxious individuals approach even the most fundamental math problems differently. © The Author (2017). Published by Oxford University Press.

  13. Neuroanthropological Understanding of Complex Cognition – Numerosity and Arithmetics

    Directory of Open Access Journals (Sweden)

    Zarja Mursic

    2013-10-01

    Full Text Available Humankind has a long evolutionary history. When we are trying to understand human complex cognition, it is as well important to look back to entire evolution. I will present the thesis that our biological predispositions and culture, together with natural and social environment, are tightly connected. During ontogenetically development we are shaped by various factors, and they enabled humans to develop some aspects of complex cognition, such as mathematics.In the beginning of the article I present the importance of natural and cultural evolution in other animals. In the following part, I briefly examine the field of mathematics – numerosity and arithmetic. Presentation of comparative animal studies, mainly made on primates, provides some interesting examples in animals’ abilities to separate between different quantities. From abilities for numerosity in animals I continue to neuroscientific studies of humans and our ability to solve simple arithmetic tasks. I also mention cross-cultural studies of arithmetic skills. In the final part of the text I present the field neuroanthropology as a possible new pillar of cognitive science. Finally, it is important to connect human evolution and development with animal cognition studies, but as well with cross-cultural studies in shaping of human ability for numerosity and arithmetic.

  14. Relational Thinking: Learning Arithmetic in Order to Promote Algebraic Thinking

    Science.gov (United States)

    Napaphun, Vishnu

    2012-01-01

    Trends in the curriculum reform propose that algebra should be taught throughout the grades, starting in elementary school. The aim should be to decrease the discontinuity between the arithmetic in elementary school and the algebra in upper grades. This study was conducted to investigate and characterise upper elementary school students…

  15. 0011-0030.Data Representation amp Computer Arithmetic6 IEEE ...

    Indian Academy of Sciences (India)

    Home; public; Volumes; reso; 021; 01; 0011-0030.Data Representation amp Computer Arithmetic6 IEEE Standard Double Precision FormatIn.pdf. 404! error. The page your are looking for can not be found! Please check the link or use the navigation bar at the top. YouTube; Twitter; Facebook; Blog. Academy News.

  16. The Lanczos and Conjugate Gradient Algorithms in Finite Precision Arithmetic

    Czech Academy of Sciences Publication Activity Database

    Meurant, G.; Strakoš, Zdeněk

    2006-01-01

    Roč. 15, - (2006), s. 471-542 ISSN 0962-4929 R&D Projects: GA AV ČR 1ET400300415 Institutional research plan: CEZ:AV0Z10300504 Keywords : Lanczos method * conjugate gradient method * finite precision arithmetic * numerical stability * iterative methods Subject RIV: BA - General Mathematics

  17. Numbers in action: individual differences and interactivity in mental arithmetic.

    Science.gov (United States)

    Guthrie, Lisa G; Vallée-Tourangeau, Frédéric

    2018-02-03

    Previous research indicates that interactive arithmetic tasks may alleviate the deleterious impact of maths anxiety on arithmetic performance. Our aim here was to further test the impact of interactivity on maths-anxious individuals and those with poorer numeracy skills. In the experiment reported here participants completed sums in two interactivity contexts. In a low-interactivity condition, sums were completed with hands down. In a second, high-interactivity condition, participants used moveable number tokens. As anticipated, accuracy and efficiency were greater in the high compared to the low-interactivity condition. Correlational analyses indicated that maths anxiety, objective numeracy, measures of maths expertise and working memory were stronger predictors of performance in the low- than in the high-interactivity conditions. Interactivity transformed the deployment of arithmetic skills, improved performance, and reduced the gap between high- and low-ability individuals. These findings suggest that traditional psychometric efforts that identify the cognitive capacities and dispositions involved in mental arithmetic should take into account the degree of interactivity afforded by the task environment.

  18. Partial sums of arithmetical functions with absolutely convergent ...

    Indian Academy of Sciences (India)

    For an arithmetical function f with absolutely convergent Ramanujan expansion, we derive an asymptotic formula for the ∑ n ≤ N f(n)$ with explicit error term. As a corollary we obtain new results about sum-of-divisors functions and Jordan's totient functions.

  19. Interactive Realizability and the elimination of Skolem functions in Peano Arithmetic

    Directory of Open Access Journals (Sweden)

    Federico Aschieri

    2012-10-01

    Full Text Available We present a new syntactical proof that first-order Peano Arithmetic with Skolem axioms is conservative over Peano Arithmetic alone for arithmetical formulas. This result – which shows that the Excluded Middle principle can be used to eliminate Skolem functions – has been previously proved by other techniques, among them the epsilon substitution method and forcing. In our proof, we employ Interactive Realizability, a computational semantics for Peano Arithmetic which extends Kreisel's modified realizability to the classical case.

  20. The arithmetic of elliptic fibrations in gauge theories on a circle

    Energy Technology Data Exchange (ETDEWEB)

    Grimm, Thomas W. [Max-Planck-Institut für Physik,Föhringer Ring 6, 80805 Munich (Germany); Institute for Theoretical Physics,Utrecht University, Leuvenlaan 4, 3584 CE Utrecht (Netherlands); Center for Extreme Matter and Emergent Phenomena,Utrecht University, Leuvenlaan 4, 3584 CE Utrecht (Netherlands); Kapfer, Andreas [Max-Planck-Institut für Physik,Föhringer Ring 6, 80805 Munich (Germany); Klevers, Denis [Theory Group, Physics Department, CERN,CH-1211, Geneva 23 (Switzerland)

    2016-06-20

    The geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop the dictionary between arithmetic structures on elliptic curves as well as desingularized elliptic fibrations and symmetries of gauge theories on a circle. We show that the Mordell-Weil group law matches integral large gauge transformations around the circle in Abelian gauge theories and explain the significance of Mordell-Weil torsion in this context. We also use Higgs transitions and circle large gauge transformations to introduce a group law for genus-one fibrations with multi-sections. Finally, we introduce a novel arithmetic structure on elliptic fibrations with non-Abelian gauge groups in F-theory. It is defined on the set of exceptional divisors resolving the singularities and divisor classes of sections of the fibration. This group structure can be matched with certain integral non-Abelian large gauge transformations around the circle when studying the theory on the lower-dimensional Coulomb branch. Its existence is required by consistency with Higgs transitions from the non-Abelian theory to its Abelian phases in which it becomes the Mordell-Weil group. This hints towards the existence of a new underlying geometric symmetry.

  1. The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle

    CERN Document Server

    Grimm, Thomas W.; Klevers, Denis

    2016-01-01

    The geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop the dictionary between arithmetic structures on elliptic curves as well as desingularized elliptic fibrations and symmetries of gauge theories on a circle. We show that the Mordell-Weil group law matches integral large gauge transformations around the circle in Abelian gauge theories and explain the significance of Mordell-Weil torsion in this context. We also use Higgs transitions and circle large gauge transformations to introduce a group law for genus-one fibrations with multi-sections. Finally, we introduce a novel arithmetic structure on elliptic fibrations with non-Abelian gauge groups in F-theory. It is defined on the set of exceptional divisors resolving the singularities and divisor classes of sections of the fibration. This group structure can be matched with certain integral non-Abelian large gauge transformations around the circle when studying the theory on the lower-dimensional ...

  2. The arithmetic of elliptic fibrations in gauge theories on a circle

    Science.gov (United States)

    Grimm, Thomas W.; Kapfer, Andreas; Klevers, Denis

    2016-06-01

    The geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop the dictionary between arithmetic structures on elliptic curves as well as desingularized elliptic fibrations and symmetries of gauge theories on a circle. We show that the Mordell-Weil group law matches integral large gauge transformations around the circle in Abelian gauge theories and explain the significance of Mordell-Weil torsion in this context. We also use Higgs transitions and circle large gauge transformations to introduce a group law for genus-one fibrations with multi-sections. Finally, we introduce a novel arithmetic structure on elliptic fibrations with non-Abelian gauge groups in F-theory. It is defined on the set of exceptional divisors resolving the singularities and divisor classes of sections of the fibration. This group structure can be matched with certain integral non-Abelian large gauge transformations around the circle when studying the theory on the lower-dimensional Coulomb branch. Its existence is required by consistency with Higgs transitions from the non-Abelian theory to its Abelian phases in which it becomes the Mordell-Weil group. This hints towards the existence of a new underlying geometric symmetry.

  3. The arithmetic of elliptic fibrations in gauge theories on a circle

    International Nuclear Information System (INIS)

    Grimm, Thomas W.; Kapfer, Andreas; Klevers, Denis

    2016-01-01

    The geometry of elliptic fibrations translates to the physics of gauge theories in F-theory. We systematically develop the dictionary between arithmetic structures on elliptic curves as well as desingularized elliptic fibrations and symmetries of gauge theories on a circle. We show that the Mordell-Weil group law matches integral large gauge transformations around the circle in Abelian gauge theories and explain the significance of Mordell-Weil torsion in this context. We also use Higgs transitions and circle large gauge transformations to introduce a group law for genus-one fibrations with multi-sections. Finally, we introduce a novel arithmetic structure on elliptic fibrations with non-Abelian gauge groups in F-theory. It is defined on the set of exceptional divisors resolving the singularities and divisor classes of sections of the fibration. This group structure can be matched with certain integral non-Abelian large gauge transformations around the circle when studying the theory on the lower-dimensional Coulomb branch. Its existence is required by consistency with Higgs transitions from the non-Abelian theory to its Abelian phases in which it becomes the Mordell-Weil group. This hints towards the existence of a new underlying geometric symmetry.

  4. Digital speech processing arithmetic and its realization on ADSP-2191 system

    International Nuclear Information System (INIS)

    Zhang Wansheng; Wang Yonggang

    2005-01-01

    The paper reports the realization of LPC arithmetic in fixed-point DSP system. First we introduce the theory of LPC arithmetic and describe the chip (ADSP-2191)'s structure and function relating to the LPC arithmetic; emphasized on the realization process of LPC in ADSP-2191 and its result. (authors)

  5. Integrating motivational, social, and contextual work design features: a meta-analytic summary and theoretical extension of the work design literature.

    Science.gov (United States)

    Humphrey, Stephen E; Nahrgang, Jennifer D; Morgeson, Frederick P

    2007-09-01

    The authors developed and meta-analytically examined hypotheses designed to test and extend work design theory by integrating motivational, social, and work context characteristics. Results from a summary of 259 studies and 219,625 participants showed that 14 work characteristics explained, on average, 43% of the variance in the 19 worker attitudes and behaviors examined. For example, motivational characteristics explained 25% of the variance in subjective performance, 2% in turnover perceptions, 34% in job satisfaction, 24% in organizational commitment, and 26% in role perception outcomes. Beyond motivational characteristics, social characteristics explained incremental variances of 9% of the variance in subjective performance, 24% in turnover intentions, 17% in job satisfaction, 40% in organizational commitment, and 18% in role perception outcomes. Finally, beyond both motivational and social characteristics, work context characteristics explained incremental variances of 4% in job satisfaction and 16% in stress. The results of this study suggest numerous opportunities for the continued development of work design theory and practice. (c) 2007 APA.

  6. From numeracy to arithmetic: Precursors of arithmetic performance in children with cerebral palsy from 6 till 8 years of age

    NARCIS (Netherlands)

    Rooijen, M. van; Verhoeven, L.T.W.; Steenbergen, B.

    2015-01-01

    Children with cerebral palsy (CP) are generally delayed in arithmetic compared to their peers. The development of early numeracy performance in children with CP is not yet evident, nor have the factors associated with change over time been identified. Therefore, we examined the development of

  7. The Arithmetic Project Course for Teachers - 8. Topic: Lower Brackets and Upper Brackets. Supplement: Arithmetic With Frames.

    Science.gov (United States)

    Education Development Center, Inc., Newton, MA.

    This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

  8. Motivation to take part in integrated care – an assessment of follow-up home visits to elderly persons

    DEFF Research Database (Denmark)

    Hjelmar, U; Hendriksen, Carsten; Hansen, K

    2011-01-01

    to implement because of a number of organizational obstacles, including co-ordination between the organizations involved in the process. In this paper we look at the factors that affect motivation to participate in a cross-sectoral programme in Copenhagen, Denmark, implementing follow-up home visits to elderly...... persons. Theory and methods: The analysis is based on inter-organizational network theory in an attempt to explain the role of motivation in network formation between organizational systems. The empirical findings are based on focus groups and in-depth interviews with hospital staff, general practitioners...... understanding of values and learning potentials. Conclusions: The study concludes that we need to focus on specific care fields and actors to reduce complexity in the area and more fully understand what motivates care providers to participate in cross-sectoral activities, such as a follow-up home visit...

  9. Building a Tower of Babel? Integrating Core Motivations and Features of Social Structure into the Political Psychology of Political Action

    NARCIS (Netherlands)

    van Zomeren, Martijn

    The political psychology of political action provides the potential for building bridges between scholars from different fields. The main aim of this article is to set some baby steps toward building two conceptual bridges by bringing together a core motivation approach to political action with core

  10. Motivation to take part in integrated care - an assessment of follow-up home visits to elderly persons

    Directory of Open Access Journals (Sweden)

    Ulf Hjelmar

    2011-08-01

    Full Text Available Objectives: The aim of follow-up visits by the general practitioner and district nurse (within a week after discharge from hospital is to reduce hospital readmissions and improve the overall wellbeing of the patient. There is strong evidence that these programmes are effective, but are difficult to implement because of a number of organizational obstacles, including co-ordination between the organizations involved in the process. In this paper we look at the factors that affect motivation to participate in a cross-sectoral programme in Copenhagen, Denmark, implementing follow-up home visits to elderly persons. Theory and methods: The analysis is based on inter-organisational network theory in an attempt to explain the role of motivation in network formation between organizational systems. The empirical findings are based on focus groups and in-depth interviews with hospital staff, general practitioners, and district nurses. Results: Care providers are motivated to collaborate by a number of factors. The focus of collaboration needs to be clearly defined and agreed upon, there needs to be a high degree of equality between the professionals involved, and there has to be a will to co-operate based on a shared understanding of values and learning potentials. Conclusions: The study concludes that we need to focus on specific care fields and actors to reduce complexity in the area and more fully understand what motivates care providers to participate in cross-sectoral activities such as a follow-up home visit programme. One lesson for current policy is that motivational factors need to be addressed in future collaborative programs in order to fully exploit the potential health benefits.

  11. Motivation to take part in integrated care - an assessment of follow-up home visits to elderly persons

    Directory of Open Access Journals (Sweden)

    Ulf Hjelmar

    2011-08-01

    Full Text Available Objectives: The aim of follow-up visits by the general practitioner and district nurse (within a week after discharge from hospital is to reduce hospital readmissions and improve the overall wellbeing of the patient. There is strong evidence that these programmes are effective, but are difficult to implement because of a number of organizational obstacles, including co-ordination between the organizations involved in the process. In this paper we look at the factors that affect motivation to participate in a cross-sectoral programme in Copenhagen, Denmark, implementing follow-up home visits to elderly persons.Theory and methods: The analysis is based on inter-organisational network theory in an attempt to explain the role of motivation in network formation between organizational systems. The empirical findings are based on focus groups and in-depth interviews with hospital staff, general practitioners, and district nurses.Results: Care providers are motivated to collaborate by a number of factors. The focus of collaboration needs to be clearly defined and agreed upon, there needs to be a high degree of equality between the professionals involved, and there has to be a will to co-operate based on a shared understanding of values and learning potentials.Conclusions: The study concludes that we need to focus on specific care fields and actors to reduce complexity in the area and more fully understand what motivates care providers to participate in cross-sectoral activities such as a follow-up home visit programme. One lesson for current policy is that motivational factors need to be addressed in future collaborative programs in order to fully exploit the potential health benefits.

  12. Translating person-centered care into practice: A comparative analysis of motivational interviewing, illness-integration support, and guided self-determination.

    Science.gov (United States)

    Zoffmann, Vibeke; Hörnsten, Åsa; Storbækken, Solveig; Graue, Marit; Rasmussen, Bodil; Wahl, Astrid; Kirkevold, Marit

    2016-03-01

    Person-centred care [PCC] can engage people in living well with a chronic condition. However, translating PCC into practice is challenging. We aimed to compare the translational potentials of three approaches: motivational interviewing [MI], illness integration support [IIS] and guided self-determination [GSD]. Comparative analysis included eight components: (1) philosophical origin; (2) development in original clinical setting; (3) theoretical underpinnings; (4) overarching goal and supportive processes; (5) general principles, strategies or tools for engaging peoples; (6) health care professionals' background and training; (7) fidelity assessment; (8) reported effects. Although all approaches promoted autonomous motivation, they differed in other ways. Their original settings explain why IIS and GSD strive for life-illness integration, whereas MI focuses on managing ambivalence. IIS and GSD were based on grounded theories, and MI was intuitively developed. All apply processes and strategies to advance professionals' communication skills and engagement; GSD includes context-specific reflection sheets. All offer training programs; MI and GSD include fidelity tools. Each approach has a primary application: MI, when ambivalence threatens positive change; IIS, when integrating newly diagnosed chronic conditions; and GSD, when problem solving is difficult, or deadlocked. Professionals must critically consider the context in their choice of approach. Copyright © 2015 Elsevier Ireland Ltd. All rights reserved.

  13. Segment LLL Reduction of Lattice Bases Using Modular Arithmetic

    Directory of Open Access Journals (Sweden)

    Sanjay Mehrotra

    2010-07-01

    Full Text Available The algorithm of Lenstra, Lenstra, and Lovász (LLL transforms a given integer lattice basis into a reduced basis. Storjohann improved the worst case complexity of LLL algorithms by a factor of O(n using modular arithmetic. Koy and Schnorr developed a segment-LLL basis reduction algorithm that generates lattice basis satisfying a weaker condition than the LLL reduced basis with O(n improvement than the LLL algorithm. In this paper we combine Storjohann’s modular arithmetic approach with the segment-LLL approach to further improve the worst case complexity of the segment-LLL algorithms by a factor of n0.5.

  14. An efficient adaptive arithmetic coding image compression technology

    International Nuclear Information System (INIS)

    Wang Xing-Yuan; Yun Jiao-Jiao; Zhang Yong-Lei

    2011-01-01

    This paper proposes an efficient lossless image compression scheme for still images based on an adaptive arithmetic coding compression algorithm. The algorithm increases the image coding compression rate and ensures the quality of the decoded image combined with the adaptive probability model and predictive coding. The use of adaptive models for each encoded image block dynamically estimates the probability of the relevant image block. The decoded image block can accurately recover the encoded image according to the code book information. We adopt an adaptive arithmetic coding algorithm for image compression that greatly improves the image compression rate. The results show that it is an effective compression technology. (electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics)

  15. A Learning Trajectory for Teaching Social Arithmetic using RME Approach

    Science.gov (United States)

    Fauzan, A.; Armiati, A.; Ceria, C.

    2018-04-01

    This paper discusses the role of a learning trajectory (LT) in promoting students’ reasoning when they learn social arithmetic using Realistic Mathematics Education (RME) approach. In our LT, we built the intertwining of the concepts such as profit, loss, percentage, discount, and interest rate, so that the students understand the relations among them. The LT was developed through a design research that consisted of a cyclic process of preparing for the experiment, conducting the experiment, and retrospective analysis. The research’s subject was 32 students at grade 7 MTsN Sintoga, Pariaman, Indonesia. Data were collected through observations, interviews, checklist, videotaping, and analyzing the students' works. The results showed that the LT could help the students to reinvent the concepts in social arithmetic. The students had more confidence to use their own strategies in solving contextual problems. The most important thing, we discovered the growth in the students’ mathematical reasoning.

  16. On the arithmetic of fractal dimension using hyperhelices

    International Nuclear Information System (INIS)

    Toledo-Suarez, Carlos D.

    2009-01-01

    A hyperhelix is a fractal curve generated by coiling a helix around a rect line, then another helix around the first one, a third around the second... an infinite number of times. A way to generate hyperhelices with any desired fractal dimension is presented, leading to the result that they have embedded an algebraic structure that allows making arithmetic with fractal dimensions and to the idea of an infinitesimal of fractal dimension

  17. Domain-General Factors Influencing Numerical and Arithmetic Processing

    Directory of Open Access Journals (Sweden)

    André Knops

    2017-12-01

    Full Text Available This special issue contains 18 articles that address the question how numerical processes interact with domain-general factors. We start the editorial with a discussion of how to define domain-general versus domain-specific factors and then discuss the contributions to this special issue grouped into two core numerical domains that are subject to domain-general influences (see Figure 1. The first group of contributions addresses the question how numbers interact with spatial factors. The second group of contributions is concerned with factors that determine and predict arithmetic understanding, performance and development. This special issue shows that domain-general (Table 1a as well as domain-specific (Table 1b abilities influence numerical and arithmetic performance virtually at all levels and make it clear that for the field of numerical cognition a sole focus on one or several domain-specific factors like the approximate number system or spatial-numerical associations is not sufficient. Vice versa, in most studies that included domain-general and domain-specific variables, domain-specific numerical variables predicted arithmetic performance above and beyond domain-general variables. Therefore, a sole focus on domain-general aspects such as, for example, working memory, to explain, predict and foster arithmetic learning is also not sufficient. Based on the articles in this special issue we conclude that both domain-general and domain-specific factors contribute to numerical cognition. But the how, why and when of their contribution still needs to be better understood. We hope that this special issue may be helpful to readers in constraining future theory and model building about the interplay of domain-specific and domain-general factors.

  18. Alternating minima and maxima, Nash equilibria and bounded arithmetic

    Czech Academy of Sciences Publication Activity Database

    Pudlák, Pavel; Thapen, Neil

    2012-01-01

    Roč. 163, č. 5 (2012), s. 604-614 ISSN 0168-0072 R&D Projects: GA AV ČR IAA100190902 Institutional research plan: CEZ:AV0Z10190503 Keywords : proof complexity * bounded arithmetic * search problems Subject RIV: BA - General Mathematics Impact factor: 0.504, year: 2012 http://www.sciencedirect.com/science/article/pii/S016800721100090X

  19. General Dirichlet Series, Arithmetic Convolution Equations and Laplace Transforms

    Czech Academy of Sciences Publication Activity Database

    Glöckner, H.; Lucht, L.G.; Porubský, Štefan

    2009-01-01

    Roč. 193, č. 2 (2009), s. 109-129 ISSN 0039-3223 R&D Projects: GA ČR GA201/07/0191 Institutional research plan: CEZ:AV0Z10300504 Keywords : arithmetic function * Dirichlet convolution * polynomial equation * analytic equation * topological algebra * holomorphic functional calculus * implicit function theorem * Laplace transform * semigroup * complex measure Subject RIV: BA - General Mathematics Impact factor: 0.645, year: 2009 http://arxiv.org/abs/0712.3172

  20. Bi-amalgamations subject to the arithmetical property

    OpenAIRE

    Kabbaj, S.; Mahdou, N.; Moutui, M. A. S.

    2016-01-01

    This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit the arithmetical property, with applications on the weak global dimension and transfer of the semihereditary property. The new results compare to previous works carried on various settings of duplications and amalgamations, and capitalize on recent results on bi-amalgamations. All results are backed with new and illustrative examples arising as bi-amalgamations.

  1. Quantile arithmetic methodology for uncertainty propagation in fault trees

    International Nuclear Information System (INIS)

    Abdelhai, M.; Ragheb, M.

    1986-01-01

    A methodology based on quantile arithmetic, the probabilistic analog to interval analysis, is proposed for the computation of uncertainties propagation in fault tree analysis. The basic events' continuous probability density functions (pdf's) are represented by equivalent discrete distributions by dividing them into a number of quantiles N. Quantile arithmetic is then used to performthe binary arithmetical operations corresponding to the logical gates in the Boolean expression of the top event expression of a given fault tree. The computational advantage of the present methodology as compared with the widely used Monte Carlo method was demonstrated for the cases of summation of M normal variables through the efficiency ratio defined as the product of the labor and error ratios. The efficiency ratio values obtained by the suggested methodology for M = 2 were 2279 for N = 5, 445 for N = 25, and 66 for N = 45 when compared with the results for 19,200 Monte Carlo samples at the 40th percentile point. Another advantage of the approach is that the exact analytical value of the median is always obtained for the top event

  2. Relational thinking: The bridge between arithmetic and algebra

    Directory of Open Access Journals (Sweden)

    Ayhan Kızıltoprak

    2017-09-01

    Full Text Available The purpose of this study is to investigate the development of relational thinking skill, which is an important component of the transition from arithmetic to algebra, of 5th grade students. In the study, the qualitative research method of teaching experiment was used. The research data were collected from six secondary school 5th grade students by means of clinical interviews and teaching episodes. For observing the development of relational thinking, pre and post clinical interviews were also conducted before and after the eight-session teaching experiment. Qualitative analysis of the research data revealed that the relational thinking skills of all the students developed. It was also found that there was an interaction between the development of fundamental arithmetic concepts and relational thinking; that the students developed concepts related to arithmetical operations such as addend and sum; minuend, subtrahend and difference; multiplicator and product; and dividend, divisor and quotient. Moreover, students were able to use these concepts effectivelyalthough they failed to provide formal explanations about the relations between them. In addition, the students perceived the equal sign not only finding a result but also as a symbol used to establish a relation between operations and expressions.

  3. An Asynchronous IEEE Floating-Point Arithmetic Unit

    Directory of Open Access Journals (Sweden)

    Joel R. Noche

    2007-12-01

    Full Text Available An asynchronous floating-point arithmetic unit is designed and tested at the transistor level usingCadence software. It uses CMOS (complementary metal oxide semiconductor and DCVS (differentialcascode voltage switch logic in a 0.35 µm process using a 3.3 V supply voltage, with dual-rail data andsingle-rail control signals using four-phase handshaking.Using 17,085 transistors, the unit handles single-precision (32-bit addition/subtraction, multiplication,division, and remainder using the IEEE 754-1985 Standard for Binary Floating-Point Arithmetic, withrounding and other operations to be handled by separate hardware or software. Division and remainderare done using a restoring subtractive algorithm; multiplication uses an additive algorithm. Exceptionsare noted by flags (and not trap handlers and the output is in single-precision.Previous work on asynchronous floating-point arithmetic units have mostly focused on single operationssuch as division. This is the first work to the authors' knowledge that can perform floating-point addition,multiplication, division, and remainder using a common datapath.

  4. Cognitive Processes that Account for Mental Addition Fluency Differences between Children Typically Achieving in Arithmetic and Children At-Risk for Failure in Arithmetic

    Science.gov (United States)

    Berg, Derek H.; Hutchinson, Nancy L.

    2010-01-01

    This study investigated whether processing speed, short-term memory, and working memory accounted for the differential mental addition fluency between children typically achieving in arithmetic (TA) and children at-risk for failure in arithmetic (AR). Further, we drew attention to fluency differences in simple (e.g., 5 + 3) and complex (e.g., 16 +…

  5. Growing the Character Values to Students Through Application of Realistic Mathematics Education (RME in the Social Arithmetic Learning

    Directory of Open Access Journals (Sweden)

    Amin Suyitno

    2015-06-01

    Full Text Available AbstractEducating students at the Basic Education level is not only demanded that the students are clever, but there are also other demand which no less important that is to educate so that students have a good character value. Educating  the students to have a good character value is started from home, school, and community. In school, educating character to students is not only the duty of teachers of Religion or Civics class, but also the duty of all teachers, including the teachers in Mathematics. Math teacher does not need to hold special time for educating of character, but it can be integrated into any material taught, and also in different application of learning models. This paper examines how the efforts of mathematics teacher in educating of character to the students of Basic Education, especially in Junior High School through the application of Realistic Mathematics Education (RME on the material of Social Arithmetic. Through presenting of the material of Social Arithmetic by RME learning model, students can be given a character education through the attitude of honesty, tolerance, discipline, cooperation, creative, independent, democratic, curiosity, love of peace, social care, responsibility, and so on. In conclusion, educational character values to students can be done by mathematics teacher through a variety of materials.  One of them  through presenting of the material of Social Arithmetic by RME learning model.

  6. Second Language Learning Motivation

    Directory of Open Access Journals (Sweden)

    Alvyda Liuolienė

    2011-04-01

    Full Text Available The paper deals with the peculiarities of ESP learning motivation. The meaning of motivation and three main approaches to motivational psychology: expectancy-value theory, goal-directed theory and the self-determination theory are presented, two distinct orientations for learning a language: integrative and instrumental are described in the paper. The importance of needs analysis to ESP learning is stressed and the main conditions (interest in the topic and activity; relevance to the students’ lives; expectancy of success and feelings of being in control and satisfaction in the outcome for motivation are described. The skills that ESP learners need to develop are specified. The description of approaches to motivational psychology is proposed, as motivation is of great significance in foreign language learning.

  7. Integration of BCTs in a Companion App to Support and Motivate Teenagers in the Adoption of Healthy Lifestyle Behaviours

    Directory of Open Access Journals (Sweden)

    Laura Condon

    2015-10-01

    Findings show that acceptability and desirability of Smart Companion App functions operationalising BCTs relating to aspects of motivation, increased self-efficacy, feedback on outcomes, incentives, prompts/cues, goal setting, self-monitoring, and information about health consequences. Results from further testing iterations over the next year will refine the PEGASO system functions and facilitate wider roll-out to allow cross-cultural exploration of the Behaviour Change Wheel and COM-B model (Michie et al 2011 as intervention design tools for healthy lifestyle behaviour change interventions in teenagers across Europe.

  8. Distributed Arithmetic for Efficient Base-Band Processing in Real-Time GNSS Software Receivers

    Directory of Open Access Journals (Sweden)

    Grégoire Waelchli

    2010-01-01

    Full Text Available The growing market of GNSS capable mobile devices is driving the interest of GNSS software solutions, as they can share many system resources (processor, memory, reducing both the size and the cost of their integration. Indeed, with the increasing performance of modern processors, it becomes now feasible to implement in software a multichannel GNSS receiver operating in real time. However, a major issue with this approach is the large computing resources required for the base-band processing, in particular for the correlation operations. Therefore, new algorithms need to be developed in order to reduce the overall complexity of the receiver architecture. Towards that aim, this paper first introduces the challenges of the software implementation of a GPS receiver, with a main focus given to the base-band processing and correlation operations. It then describes the already existing solutions and, from this, introduces a new algorithm based on distributed arithmetic.

  9. Supertracker: A Programmable Parallel Pipeline Arithmetic Processor For Auto-Cueing Target Processing

    Science.gov (United States)

    Mack, Harold; Reddi, S. S.

    1980-04-01

    Supertracker represents a programmable parallel pipeline computer architecture that has been designed to meet the real time image processing requirements of auto-cueing target data processing. The prototype bread-board currently under development will be designed to perform input video preprocessing and processing for 525-line and 875-line TV formats FLIR video, automatic display gain and contrast control, and automatic target cueing, classification, and tracking. The video preprocessor is capable of performing operations full frames of video data in real time, e.g., frame integration, storage, 3 x 3 convolution, and neighborhood processing. The processor architecture is being implemented using bit-slice microprogrammable arithmetic processors, operating in parallel. Each processor is capable of up to 20 million operations per second. Multiple frame memories are used for additional flexibility.

  10. Distinguishing subtypes of extrinsic motivation among people with mild to borderline intellectual disability

    OpenAIRE

    Frielink, N.; Schuengel, C.; Embregts, P.J.C.M.

    2017-01-01

    Background: According to self-determination theory, motivation is ordered in types, including amotivation, extrinsic motivation and intrinsic motivation. Self-determination theory defines four subtypes of extrinsic motivation: external motivation, introjected motivation, identified motivation and integrated motivation. Although it has been argued theoretically that the different types of motivation are universally applicable, Reid et al. () proposed a dichotomy of broad subtypes of extrinsic ...

  11. The Situated Inference Model: An Integrative Account of the Effects of Primes on Perception, Behavior, and Motivation.

    Science.gov (United States)

    Loersch, Chris; Payne, B Keith

    2011-05-01

    The downstream consequences of a priming induction range from changes in the perception of objects in the environment to the initiation of prime-related behavior and goal striving. Although each of these outcomes has been accounted for by separate mechanisms, we argue that a single process could produce all three priming effects. In this article, we introduce the situated inference model of priming, discuss its potential to account for these divergent outcomes with one mechanism, and demonstrate its ability to organize the priming literatures surrounding these effects. According to the model, primes often do not cause direct effects, instead altering only the accessibility of prime-related mental content. This information produces downstream effects on judgment, behavior, or motivation when it is mistakenly viewed as originating from one's own internal thought processes. When this misattribution occurs, the prime-related mental content becomes a possible source of information for solving whatever problems are afforded by the current situation. Because different situations afford very different questions and concerns, the inferred meaning of this prime-related content can vary greatly. The use of this information to answer qualitatively different questions can lead a single prime to produce varied effects on judgment, behavior, and motivation. © The Author(s) 2011.

  12. Early but not late blindness leads to enhanced arithmetic and working memory abilities.

    Science.gov (United States)

    Dormal, Valérie; Crollen, Virginie; Baumans, Christine; Lepore, Franco; Collignon, Olivier

    2016-10-01

    Behavioural and neurophysiological evidence suggest that vision plays an important role in the emergence and development of arithmetic abilities. However, how visual deprivation impacts on the development of arithmetic processing remains poorly understood. We compared the performances of early (EB), late blind (LB) and sighted control (SC) individuals during various arithmetic tasks involving addition, subtraction and multiplication of various complexities. We also assessed working memory (WM) performances to determine if they relate to a blind person's arithmetic capacities. Results showed that EB participants performed better than LB and SC in arithmetic tasks, especially in conditions in which verbal routines and WM abilities are needed. Moreover, EB participants also showed higher WM abilities. Together, our findings demonstrate that the absence of developmental vision does not prevent the development of refined arithmetic skills and can even trigger the refinement of these abilities in specific tasks. Copyright © 2016 Elsevier Ltd. All rights reserved.

  13. Optimal Design of Fixed-Point and Floating-Point Arithmetic Units for Scientific Applications

    OpenAIRE

    Pongyupinpanich, Surapong

    2012-01-01

    The challenge in designing a floating-point arithmetic co-processor/processor for scientific and engineering applications is to improve the performance, efficiency, and computational accuracy of the arithmetic unit. The arithmetic unit should efficiently support several mathematical functions corresponding to scientific and engineering computation demands. Moreover, the computations should be performed as fast as possible with a high degree of accuracy. Thus, this thesis proposes algorithm, d...

  14. Reading instead of reasoning? Predictors of arithmetic skills in children with cochlear implants.

    Science.gov (United States)

    Huber, Maria; Kipman, Ulrike; Pletzer, Belinda

    2014-07-01

    The aim of the present study was to evaluate whether the arithmetic achievement of children with cochlear implants (CI) was lower or comparable to that of their normal hearing peers and to identify predictors of arithmetic achievement in children with CI. In particular we related the arithmetic achievement of children with CI to nonverbal IQ, reading skills and hearing variables. 23 children with CI (onset of hearing loss in the first 24 months, cochlear implantation in the first 60 months of life, atleast 3 years of hearing experience with the first CI) and 23 normal hearing peers matched by age, gender, and social background participated in this case control study. All attended grades two to four in primary schools. To assess their arithmetic achievement, all children completed the "Arithmetic Operations" part of the "Heidelberger Rechentest" (HRT), a German arithmetic test. To assess reading skills and nonverbal intelligence as potential predictors of arithmetic achievement, all children completed the "Salzburger Lesetest" (SLS), a German reading screening, and the Culture Fair Intelligence Test (CFIT), a nonverbal intelligence test. Children with CI did not differ significantly from hearing children in their arithmetic achievement. Correlation and regression analyses revealed that in children with CI, arithmetic achievement was significantly (positively) related to reading skills, but not to nonverbal IQ. Reading skills and nonverbal IQ were not related to each other. In normal hearing children, arithmetic achievement was significantly (positively) related to nonverbal IQ, but not to reading skills. Reading skills and nonverbal IQ were positively correlated. Hearing variables were not related to arithmetic achievement. Children with CI do not show lower performance in non-verbal arithmetic tasks, compared to normal hearing peers. Copyright © 2014. Published by Elsevier Ireland Ltd.

  15. Knowing right from wrong in mental arithmetic judgments: calibration of confidence predicts the development of accuracy.

    Science.gov (United States)

    Rinne, Luke F; Mazzocco, Michèle M M

    2014-01-01

    Does knowing when mental arithmetic judgments are right--and when they are wrong--lead to more accurate judgments over time? We hypothesize that the successful detection of errors (and avoidance of false alarms) may contribute to the development of mental arithmetic performance. Insight into error detection abilities can be gained by examining the "calibration" of mental arithmetic judgments-that is, the alignment between confidence in judgments and the accuracy of those judgments. Calibration may be viewed as a measure of metacognitive monitoring ability. We conducted a developmental longitudinal investigation of the relationship between the calibration of children's mental arithmetic judgments and their performance on a mental arithmetic task. Annually between Grades 5 and 8, children completed a problem verification task in which they rapidly judged the accuracy of arithmetic expressions (e.g., 25 + 50 = 75) and rated their confidence in each judgment. Results showed that calibration was strongly related to concurrent mental arithmetic performance, that calibration continued to develop even as mental arithmetic accuracy approached ceiling, that poor calibration distinguished children with mathematics learning disability from both low and typically achieving children, and that better calibration in Grade 5 predicted larger gains in mental arithmetic accuracy between Grades 5 and 8. We propose that good calibration supports the implementation of cognitive control, leading to long-term improvement in mental arithmetic accuracy. Because mental arithmetic "fluency" is critical for higher-level mathematics competence, calibration of confidence in mental arithmetic judgments may represent a novel and important developmental predictor of future mathematics performance.

  16. Oscillatory EEG correlates of arithmetic strategies: A training study

    Directory of Open Access Journals (Sweden)

    Roland H. Grabner

    2012-10-01

    Full Text Available There has been a long tradition of research on mathematics education showing that children and adults use different strategies to solve arithmetic problems. Neurophysiological studies have recently begun to investigate the brain correlates of these strategies. The existing body of data, however, reflect static end points of the learning process and do not provide information on how brain activity changes in response to training or intervention. In this study, we explicitly address this issue by training participants in using fact retrieval strategies. We also investigate whether brain activity related to arithmetic fact learning is domain-specific or whether this generalizes to other learning materials, such as the solution of figural-spatial problems. Twenty adult students were trained on sets of two-digit multiplication problems and figural-spatial problems. After the training, they were presented with the trained and untrained problems while their brain activity was recorded by means of electroencephalography (EEG . In both problem types, the training resulted in accuracies over 90 % and significant decreases in solution times. Analyses of the oscillatory EEG data also revealed training effects across both problem types. Specifically, we observed training-related activity increases in the theta band (3-6 Hz and decreases in the lower alpha band (8-10 Hz, especially over parieto-occipital and parietal brain regions. These results provide the first evidence that a short term fact retrieval training results in significant changes in oscillatory EEG activity. These findings further corroborate the role of the theta band in the retrieval of semantic information from memory and suggest that theta activity is not only sensitive to fact retrieval in mental arithmetic but also in other domains.

  17. Arithmetic properties of $\\ell$-regular overpartition pairs

    OpenAIRE

    NAIKA, MEGADAHALLI SIDDA MAHADEVA; SHIVASHANKAR, CHANDRAPPA

    2017-01-01

    In this paper, we investigate the arithmetic properties of $\\ell$-regular overpartition pairs. Let $\\overline{B}_{\\ell}(n)$ denote the number of $\\ell$-regular overpartition pairs of $n$. We will prove the number of Ramanujan-like congruences and infinite families of congruences modulo 3, 8, 16, 36, 48, 96 for $\\overline{B}_3(n)$ and modulo 3, 16, 64, 96 for $\\overline{B}_4(n)$. For example, we find that for all nonnegative integers $\\alpha$ and $n$, $\\overline{B}_{3}(3^{\\alpha}(3n+2))\\equiv ...

  18. CIMPA Summer School on Arithmetic and Geometry Around Hypergeometric Functions

    CERN Document Server

    Uludağ, A; Yoshida, Masaaki; Arithmetic and Geometry Around Hypergeometric Functions

    2007-01-01

    This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers.

  19. Abelian groups and quadratic residues in weak arithmetic

    Czech Academy of Sciences Publication Activity Database

    Jeřábek, Emil

    2010-01-01

    Roč. 56, č. 3 (2010), s. 262-278 ISSN 0942-5616 R&D Projects: GA AV ČR IAA1019401; GA MŠk(CZ) 1M0545 Institutional research plan: CEZ:AV0Z10190503 Keywords : bounded arithmetic * abelian group * Fermat's little theorem * quadratic reciprocity Subject RIV: BA - General Mathematics Impact factor: 0.361, year: 2010 http://onlinelibrary.wiley.com/doi/10.1002/malq.200910009/abstract;jsessionid=9F636FFACB84C025FD90C7E6880350DD.f03t03

  20. A codesign case study: implementing arithmetic functions in FPGAs

    DEFF Research Database (Denmark)

    Klotchkov, I. V.; Pedersen, Steen

    1996-01-01

    Different ways of implementing and designing arithmetic functions for 16/32 bit integers in FPGA technology are studied. A comparison of four different design methods is also included. The results are used to increase the overall system performance in a dedicated 3D image analysis prototype system...... by moving a vector length calculation from software to hardware. The conclusion is that by adding one relatively simple board containing two FPGAs in the prototype setup, the total computing time is reduced by 30%. The total amount of image data, in this case 300 Mbyte, which has to be transmitted via...

  1. Functional Neuroanatomy Involved in Automatic order Mental Arithmetic and Recitation of the Multiplication Table

    Science.gov (United States)

    Wang, Li-Qun; Saito, Masao

    We used 1.5T functional magnetic resonance imaging (fMRI) to explore that which brain areas contribute uniquely to numeric computation. The BOLD effect activation pattern of metal arithmetic task (successive subtraction: actual calculation task) was compared with multiplication tables repetition task (rote verbal arithmetic memory task) response. The activation found in right parietal lobule during metal arithmetic task suggested that quantitative cognition or numeric computation may need the assistance of sensuous convert, such as spatial imagination and spatial sensuous convert. In addition, this mechanism may be an ’analog algorithm’ in the simple mental arithmetic processing.

  2. Collaborative Research Centre 694 “Integration of electronic components into mobile systems”-Motivation and survey

    Science.gov (United States)

    Weckenmann, Albert; Schmidt, Lorenz-Peter; Bookjans, Martin

    Within the collaborative research centre 694 'Integration of electronic components into mobile systems' intelligent mechatronic systems are explored for application at the place of action. Especially in the automotive sector highest requirements on system safety are combined with an enormous importance of the production for the whole national economy. Therefore the collaborative research centre is led by the vision to integrate electronic components in sensors and actors of mobile systems. About 30 scientists at nine participating academic and non-academic institutions in Erlangen explore mechatronic solutions for the requirements on manufacturing processes, electronic systems and quality management techniques within the car of the future.

  3. Computing with networks of spiking neurons on a biophysically motivated floating-gate based neuromorphic integrated circuit.

    Science.gov (United States)

    Brink, S; Nease, S; Hasler, P

    2013-09-01

    Results are presented from several spiking network experiments performed on a novel neuromorphic integrated circuit. The networks are discussed in terms of their computational significance, which includes applications such as arbitrary spatiotemporal pattern generation and recognition, winner-take-all competition, stable generation of rhythmic outputs, and volatile memory. Analogies to the behavior of real biological neural systems are also noted. The alternatives for implementing the same computations are discussed and compared from a computational efficiency standpoint, with the conclusion that implementing neural networks on neuromorphic hardware is significantly more power efficient than numerical integration of model equations on traditional digital hardware. Copyright © 2013 Elsevier Ltd. All rights reserved.

  4. Condiciones motivacionales internas y rendimiento académico de residentes venezolanos en Medicina General Integral Internal motivational conditions and academic performance in Venezuelan residents of Integral General Medicine

    Directory of Open Access Journals (Sweden)

    Aliocha Batista Silva

    2010-03-01

    Full Text Available Objetivos: caracterizar la relación que se establece entre las condiciones motivacionales internas y el rendimiento académico de residentes venezolanos en la especialidad de Medicina General Integral. Métodos: el estudio responde a un proyecto de investigación en el área de la educación de posgrado y se realizó al concluir los residentes su primer año académico, 2006, en la misión docente cubana "Barrio Adentro", Estado de Monagas, Venezuela. Se trabajó con el universo de alumnos conformado por 59 sujetos. El instrumento empleado fue el Cuestionario de Motivación Académica en su categoría específica y sustentada en la Teoría de la Motivación, se observaron los requerimientos éticos para investigaciones biomédicas. Se utilizó el coeficiente de correlación R, para medir la fuerza de la relación entre las condiciones motivacionales internas y el rendimiento académico. Resultados: en el grupo hubo un promedio de calificaciones alto y homogéneo. Dentro de los factores que caracterizan a las condiciones motivacionales internas, el poder y el reconocimiento tuvieron los valores promedios más altos, lo que se traduce como un interés profundo de los residentes en estos componentes. Estos mismos factores tuvieron una correlación estadísticamente significativa con el rendimiento académico. Conclusiones: dentro de los factores motivacionales internos, los que más movieron e impulsaron la acción de los residentes a mantener su buen rendimiento académico fueron el poder y el reconocimiento. Deben organizarse cursos y actividades orientadas a desarrollar en estos estudiantes motivaciones hacia el logro, factor importante dentro de las condiciones motivacionales internas.Objectives: to characterize the relation established among the internal motivational condition and the academic performance of Venezuelan residents of Integral General Medicine. Methods: present study is related to a research project in postgraduate education

  5. A Technology Integration Education (TIE) Model: Millennial Preservice Teachers' Motivations about Technological, Pedagogical, and Content Knowledge (TPACK) Competencies

    Science.gov (United States)

    Holland, Denise D.; Piper, Randy T.

    2014-01-01

    Nobel laureates Schultz (1971) and Becker (1964, 1993) reinvigorated the analysis of education investments. Human capital investments that improve cognitive skills for elementary and secondary students have important economic implications. An interdisciplinary, 12-construct technology integration education (TIE) model was developed. The sample…

  6. Design of arithmetic circuits in quantum dot cellular automata nanotechnology

    CERN Document Server

    Sridharan, K

    2015-01-01

    This research monograph focuses on the design of arithmetic circuits in Quantum Dot Cellular Automata (QCA). Using the fact that the 3-input majority gate is a primitive in QCA, the book sets out to discover hitherto unknown properties of majority logic in the context of arithmetic circuit designs. The pursuit for efficient adders in QCA takes two forms. One involves application of the new results in majority logic to existing adders. The second involves development of a custom adder for QCA technology. A QCA adder named as hybrid adder is proposed and it is shown that it outperforms existing multi-bit adders with respect to area and delay. The work is extended to the design of a low-complexity multiplier for signed numbers in QCA. Furthermore the book explores two aspects unique to QCA technology, namely thermal robustness and the role of interconnects. In addition, the book introduces the reader to QCA layout design and simulation using QCADesigner. Features & Benefits: This research-based book: ·  �...

  7. Semiotic mediation: from multiplication properties to arithmetical expressions

    Directory of Open Access Journals (Sweden)

    Andrea Maffia

    2016-04-01

    Full Text Available Multiplication is introduced early in primary school, but its properties are usually introduced after the rote memorization of multiplicative facts. In this paper we present a teaching experiment aimed to early introducing arithmetical properties of multiplication. It is realized through an artefact built on the rectangle model for multiplication. Children activity is designed and analyzed using Theory of Semiotic Mediation. The development of the relational meaning of arithmetical expressions is shown through the enchaining of representations from signs related to the activity with the artefact to mathematical ones. In particular, the role of the teacher in the process of semiotic mediation results as crucial. Mediazione semiotica: dalle proprietà della moltiplicazione alle espressioni aritmeticheLa moltiplicazione viene presentata presto nella scuola primaria, ma le sue proprietà sono introdotte solo dopo che le cosiddette tabelline sono state memorizzate. Nell’articolo si presenta un teaching experiment volto a introdurre precocemente le proprietà della moltiplicazione per facilitare la memorizzazione di fatti moltiplicativi. L’esperimento è centrato sull’uso di un artefatto costruito sul modello rettangolare della moltiplicazione. L’attività degli studenti è progettata e analizzata nel quadro della Teoria della Mediazione Semiotica (TMS. Lo sviluppo del significato relazionale delle espressioni aritmetiche viene mostrato attraverso la concatenazione di rappresentazioni che vanno da segni strettamente legati all’attività con l’artefatto fino a segni matematici. In particolare, si evidenzia il ruolo dell’insegnante nello sviluppo del processo di mediazione semiotica.

  8. Arithmetic learning with the use of graphic organiser

    Science.gov (United States)

    Sai, F. L.; Shahrill, M.; Tan, A.; Han, S. H.

    2018-01-01

    For this study, Zollman’s four corners-and-a-diamond mathematics graphic organiser embedded with Polya’s Problem Solving Model was used to investigate secondary school students’ performance in arithmetic word problems. This instructional learning tool was used to help students break down the given information into smaller units for better strategic planning. The participants were Year 7 students, comprised of 21 male and 20 female students, aged between 11-13 years old, from a co-ed secondary school in Brunei Darussalam. This study mainly adopted a quantitative approach to investigate the types of differences found in the arithmetic word problem pre- and post-tests results from the use of the learning tool. Although the findings revealed slight improvements in the overall comparisons of the students’ test results, the in-depth analysis of the students’ responses in their activity worksheets shows a different outcome. Some students were able to make good attempts in breaking down the key points into smaller information in order to solve the word problems.

  9. Decidable and undecidable arithmetic functions in actin filament networks

    Science.gov (United States)

    Schumann, Andrew

    2018-01-01

    The plasmodium of Physarum polycephalum is very sensitive to its environment, and reacts to stimuli with appropriate motions. Both the sensory and motor stages of these reactions are explained by hydrodynamic processes, based on fluid dynamics, with the participation of actin filament networks. This paper is devoted to actin filament networks as a computational medium. The point is that actin filaments, with contributions from many other proteins like myosin, are sensitive to extracellular stimuli (attractants as well as repellents), and appear and disappear at different places in the cell to change aspects of the cell structure—e.g. its shape. By assembling and disassembling actin filaments, some unicellular organisms, like Amoeba proteus, can move in response to various stimuli. As a result, these organisms can be considered a simple reversible logic gate—extracellular signals being its inputs and motions its outputs. In this way, we can implement various logic gates on amoeboid behaviours. These networks can embody arithmetic functions within p-adic valued logic. Furthermore, within these networks we can define the so-called diagonalization for deducing undecidable arithmetic functions.

  10. Brauer groups and obstruction problems moduli spaces and arithmetic

    CERN Document Server

    Hassett, Brendan; Várilly-Alvarado, Anthony; Viray, Bianca

    2017-01-01

    The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman...

  11. Multistate Memristive Tantalum Oxide Devices for Ternary Arithmetic

    Science.gov (United States)

    Kim, Wonjoo; Chattopadhyay, Anupam; Siemon, Anne; Linn, Eike; Waser, Rainer; Rana, Vikas

    2016-11-01

    Redox-based resistive switching random access memory (ReRAM) offers excellent properties to implement future non-volatile memory arrays. Recently, the capability of two-state ReRAMs to implement Boolean logic functionality gained wide interest. Here, we report on seven-states Tantalum Oxide Devices, which enable the realization of an intrinsic modular arithmetic using a ternary number system. Modular arithmetic, a fundamental system for operating on numbers within the limit of a modulus, is known to mathematicians since the days of Euclid and finds applications in diverse areas ranging from e-commerce to musical notations. We demonstrate that multistate devices not only reduce the storage area consumption drastically, but also enable novel in-memory operations, such as computing using high-radix number systems, which could not be implemented using two-state devices. The use of high radix number system reduces the computational complexity by reducing the number of needed digits. Thus the number of calculation operations in an addition and the number of logic devices can be reduced.

  12. Client interpersonal impacts as mediators of long-term outcome in cognitive-behavioral therapy integrated with motivational interviewing for generalized anxiety disorder.

    Science.gov (United States)

    Constantino, Michael J; Romano, Felicia M; Coyne, Alice E; Westra, Henny A; Antony, Martin M

    2017-03-24

    A recent trial of generalized anxiety disorder treatment (Westra, H. A., Constantino, M. J., & Antony, M. M. (2016). Integrating Motivational Interviewing With Cognitive-Behavioral Therapy for Severe Generalized Anxiety Disorder: An Allegiance-Controlled Randomized Clinical Trial. Journal of Consulting and Clinical Psychology, 84, 768-782. doi: 10.1037/ccp0000098 ) revealed that cognitive-behavioral therapy (CBT) integrated with motivational interviewing (MI) outperformed CBT alone across a 12-month follow up. The present study examined whether this treatment effect was mediated by MI-CBT clients engaging over time in during-session interpersonal behaviors reflecting more friendly dominance, or agentic actions, and less friendly submissiveness (FS), or trustingly compliant actions both theory-specific MI mechanisms. Clients received 15 sessions of MI-CBT (n = 42) or CBT alone (n = 43). Therapists rated client interpersonal behavior following five sessions, and clients rated their worry at baseline, each session, and 6- and 12-month follow up. Mediator and outcome variables were derived from multilevel models. Mediation was tested using a bootstrapping procedure. There was a significant indirect effect for FS. As expected, CBT clients evidenced greater increases in FS than MI-CBT clients, which in turn, though unexpectedly, related to lower 12-month worry. However, long-term CBT outcomes remained inferior to MI-CBT outcomes even with CBT clients'greater increase in FS. Results suggest that CBT outcomes are more positive when clients trustingly comply; however, MI-CBT remained superior, but for as yet unexplained reasons. Clinical or methodological significance of this article: The findings highlight the clinical importance of GAD clients becoming more friendly dominant in the therapy relationship irrespective of whether they received CBT or integrative MI-CBT. Moreover, it seems clinically indicated to incorporate MI spirit and techniques into CBT when

  13. Man-Machine Integration Design and Analysis System (MIDAS) v5: Augmentations, Motivations, and Directions for Aeronautics Applications

    Science.gov (United States)

    Gore, Brian F.

    2011-01-01

    As automation and advanced technologies are introduced into transport systems ranging from the Next Generation Air Transportation System termed NextGen, to the advanced surface transportation systems as exemplified by the Intelligent Transportations Systems, to future systems designed for space exploration, there is an increased need to validly predict how the future systems will be vulnerable to error given the demands imposed by the assistive technologies. One formalized approach to study the impact of assistive technologies on the human operator in a safe and non-obtrusive manner is through the use of human performance models (HPMs). HPMs play an integral role when complex human-system designs are proposed, developed, and tested. One HPM tool termed the Man-machine Integration Design and Analysis System (MIDAS) is a NASA Ames Research Center HPM software tool that has been applied to predict human-system performance in various domains since 1986. MIDAS is a dynamic, integrated HPM and simulation environment that facilitates the design, visualization, and computational evaluation of complex man-machine system concepts in simulated operational environments. The paper will discuss a range of aviation specific applications including an approach used to model human error for NASA s Aviation Safety Program, and what-if analyses to evaluate flight deck technologies for NextGen operations. This chapter will culminate by raising two challenges for the field of predictive HPMs for complex human-system designs that evaluate assistive technologies: that of (1) model transparency and (2) model validation.

  14. Motivational beliefs, values, and goals.

    Science.gov (United States)

    Eccles, Jacquelynne S; Wigfield, Allan

    2002-01-01

    This chapter reviews the recent research on motivation, beliefs, values, and goals, focusing on developmental and educational psychology. The authors divide the chapter into four major sections: theories focused on expectancies for success (self-efficacy theory and control theory), theories focused on task value (theories focused on intrinsic motivation, self-determination, flow, interest, and goals), theories that integrate expectancies and values (attribution theory, the expectancy-value models of Eccles et al., Feather, and Heckhausen, and self-worth theory), and theories integrating motivation and cognition (social cognitive theories of self-regulation and motivation, the work by Winne & Marx, Borkowski et al., Pintrich et al., and theories of motivation and volition). The authors end the chapter with a discussion of how to integrate theories of self-regulation and expectancy-value models of motivation and suggest new directions for future research.

  15. Binary Arithmetic From Hariot (CA, 1600 A.D.) to the Computer Age.

    Science.gov (United States)

    Glaser, Anton

    This history of binary arithmetic begins with details of Thomas Hariot's contribution and includes specific references to Hariot's manuscripts kept at the British Museum. A binary code developed by Sir Francis Bacon is discussed. Briefly mentioned are contributions to binary arithmetic made by Leibniz, Fontenelle, Gauss, Euler, Benzout, Barlow,…

  16. Children Learn Spurious Associations in Their Math Textbooks: Examples from Fraction Arithmetic

    Science.gov (United States)

    Braithwaite, David W.; Siegler, Robert S.

    2018-01-01

    Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…

  17. Inhibition and Shifting in Children with Learning Deficits in Arithmetic and Reading

    Science.gov (United States)

    van der Sluis, Sophie; de Jong, Peter F.; van der Leij, Aryan

    2004-01-01

    The executive functions of inhibition and shifting were studied in arithmetic-disabled children, reading-disabled children, reading plus arithmetic-disabled children, and controls (N = 74). Measures involved the rapid naming of objects, digits, letters, or quantities with or without additional task requirements that reflected inhibition or…

  18. Working Memory in Dutch Children with Reading- and Arithmetic-Related LD

    Science.gov (United States)

    van der Sluis, Sophie; van der Leij, Aryan; de Jong, Peter F.

    2005-01-01

    The aim of the two studies presented in this article was to examine working memory performance in Dutch children with various subtypes of learning disabilities. The performance of children with reading disabilities (RD) was compared to that of children with arithmetic disabilities (AD), children with both reading and arithmetic disabilities (RAD),…

  19. The effect of illustrations in arithmetic problem-solving: Effects of increased cognitive load

    NARCIS (Netherlands)

    Berends, I.E.; van Lieshout, E.C.D.M.

    2009-01-01

    Arithmetic word problems are often presented accompanied by illustrations. The present study examined how different types of illustrations influence the speed and accuracy of performance of both good (n = 67) and poor arithmeticians (n = 63). Twenty-four arithmetic word problems were presented with

  20. Sex Differences in Mental Arithmetic, Digit Span, and "g" Defined as Working Memory Capacity

    Science.gov (United States)

    Lynn, Richard; Irwing, Paul

    2008-01-01

    Meta-analyses are presented of sex differences in (1) the (mental) arithmetic subtest of the Wechsler intelligence tests for children and adolescents (the WISC and WPPSI tests), showing that boys obtained a mean advantage of 0.11d; (2) the (mental) arithmetic subtest of the Wechsler intelligence tests for adults (the WAIS tests) showing a mean…

  1. Arithmetic Abilities in Children with Developmental Dyslexia: Performance on French ZAREKI-R Test

    Science.gov (United States)

    De Clercq-Quaegebeur, Maryse; Casalis, Séverine; Vilette, Bruno; Lemaitre, Marie-Pierre; Vallée, Louis

    2018-01-01

    A high comorbidity between reading and arithmetic disabilities has already been reported. The present study aims at identifying more precisely patterns of arithmetic performance in children with developmental dyslexia, defined with severe and specific criteria. By means of a standardized test of achievement in mathematics ("Calculation and…

  2. Sabrewing: A lightweight architecture for combined floating-point and integer arithmetic

    NARCIS (Netherlands)

    Bruintjes, Tom; Walters, K.H.G.; Gerez, Sabih H.; Molenkamp, Egbert; Smit, Gerardus Johannes Maria

    In spite of the fact that floating-point arithmetic is costly in terms of silicon area, the joint design of hardware for floating-point and integer arithmetic is seldom considered. While components like multipliers and adders can potentially be shared, floating-point and integer units in

  3. Predicting Arithmetical Achievement from Neuro-Psychological Performance: A Longitudinal Study.

    Science.gov (United States)

    Fayol, Michel; Barrouillet, Pierre; Marinthe, Catherine

    1998-01-01

    Assessed whether performances of 5- and 6-year olds in arithmetic tests can be predicted from their performances in neuropsychological tests. Participants completed neuropsychological, drawing, and arithmetic tests at 5 and 6 years of age. Findings at older age were correctly assumed by conclusions of first evaluation. (LBT)

  4. Arithmetic difficulties in children with cerebral palsy are related to executive function and working memory.

    NARCIS (Netherlands)

    Jenks, K.M.; Moor, J.M.H. de; Lieshout, E.C. van

    2009-01-01

    BACKGROUND: Although it is believed that children with cerebral palsy are at high risk for learning difficulties and arithmetic difficulties in particular, few studies have investigated this issue. METHODS: Arithmetic ability was longitudinally assessed in children with cerebral palsy in special (n

  5. Executive function in relation to arithmetic development in children with cerebral palsy

    NARCIS (Netherlands)

    Jenks, K.M.; de Moor, J.; van Lieshout, E.C.D.M.

    2009-01-01

    Background: Although it is believed that children with cerebral palsy are at high risk for learning difficulties and arithmetic difficulties in particular, few studies have investigated this issue. Methods: Arithmetic ability was longitudinally assessed in children with cerebral palsy in special (n

  6. Arithmetic difficulties in children with cerebral palsy are related to executive function and working memory

    NARCIS (Netherlands)

    Jenks, K.M.; Moor, J.M.H. de; Lieshout, E.C.D.M. van

    2009-01-01

    Background - Although it is believed that children with cerebral palsy are at high risk for learning difficulties and arithmetic difficulties in particular, few studies have investigated this issue. Methods - Arithmetic ability was longitudinally assessed in children with cerebral palsy in special

  7. Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI-BOLD activation.

    Science.gov (United States)

    Fehr, Thorsten; Code, Chris; Herrmann, Manfred

    2007-10-03

    The issue of how and where arithmetic operations are represented in the brain has been addressed in numerous studies. Lesion studies suggest that a network of different brain areas are involved in mental calculation. Neuroimaging studies have reported inferior parietal and lateral frontal activations during mental arithmetic using tasks of different complexities and using different operators (addition, subtraction, etc.). Indeed, it has been difficult to compare brain activation across studies because of the variety of different operators and different presentation modalities used. The present experiment examined fMRI-BOLD activity in participants during calculation tasks entailing different arithmetic operations -- addition, subtraction, multiplication and division -- of different complexities. Functional imaging data revealed a common activation pattern comprising right precuneus, left and right middle and superior frontal regions during all arithmetic operations. All other regional activations were operation specific and distributed in prominently frontal, parietal and central regions when contrasting complex and simple calculation tasks. The present results largely confirm former studies suggesting that activation patterns due to mental arithmetic appear to reflect a basic anatomical substrate of working memory, numerical knowledge and processing based on finger counting, and derived from a network originally related to finger movement. We emphasize that in mental arithmetic research different arithmetic operations should always be examined and discussed independently of each other in order to avoid invalid generalizations on arithmetics and involved brain areas.

  8. Teachers’ Beliefs and Practices Regarding the Role of Executive Functions in Reading and Arithmetic

    Directory of Open Access Journals (Sweden)

    Shirley Rapoport

    2016-10-01

    Full Text Available The current study investigated early elementary school teachers’ beliefs and practices regarding the role of Executive Functions in reading and arithmetic. A new research questionnaire was developed and judged by professionals in the academia and the field. Reponses were obtained from 144 teachers from Israel. Factor analysis divided the questionnaire into three valid and reliable subscales, reflecting (1 beliefs regarding the contribution of executive functions to reading and arithmetic, (2 pedagogical practices, and (3 a connection between the cognitive mechanisms of reading and arithmetic. Findings indicate that teachers believe executive functions affect students’ performance in reading and arithmetic. These beliefs were also correlated with pedagogical practices. Additionally, special education teachers’ scored higher on the different subscales compared to general education teachers. These findings shed light on the way teachers perceive the cognitive foundations of reading and arithmetic and indicate to which extent these perceptions guide their teaching practices.

  9. Age-related changes in strategic variations during arithmetic problem solving: The role of executive control.

    Science.gov (United States)

    Hinault, T; Lemaire, P

    2016-01-01

    In this review, we provide an overview of how age-related changes in executive control influence aging effects in arithmetic processing. More specifically, we consider the role of executive control in strategic variations with age during arithmetic problem solving. Previous studies found that age-related differences in arithmetic performance are associated with strategic variations. That is, when they accomplish arithmetic problem-solving tasks, older adults use fewer strategies than young adults, use strategies in different proportions, and select and execute strategies less efficiently. Here, we review recent evidence, suggesting that age-related changes in inhibition, cognitive flexibility, and working memory processes underlie age-related changes in strategic variations during arithmetic problem solving. We discuss both behavioral and neural mechanisms underlying age-related changes in these executive control processes. © 2016 Elsevier B.V. All rights reserved.

  10. Teachers’ Beliefs and Practices Regarding the Role of Executive Functions in Reading and Arithmetic

    Science.gov (United States)

    Rapoport, Shirley; Rubinsten, Orly; Katzir, Tami

    2016-01-01

    The current study investigated early elementary school teachers’ beliefs and practices regarding the role of Executive Functions (EFs) in reading and arithmetic. A new research questionnaire was developed and judged by professionals in the academia and the field. Reponses were obtained from 144 teachers from Israel. Factor analysis divided the questionnaire into three valid and reliable subscales, reflecting (1) beliefs regarding the contribution of EFs to reading and arithmetic, (2) pedagogical practices, and (3) a connection between the cognitive mechanisms of reading and arithmetic. Findings indicate that teachers believe EFs affect students’ performance in reading and arithmetic. These beliefs were also correlated with pedagogical practices. Additionally, special education teachers’ scored higher on the different subscales compared to general education teachers. These findings shed light on the way teachers perceive the cognitive foundations of reading and arithmetic and indicate to which extent these perceptions guide their teaching practices. PMID:27799917

  11. Teachers' Beliefs and Practices Regarding the Role of Executive Functions in Reading and Arithmetic.

    Science.gov (United States)

    Rapoport, Shirley; Rubinsten, Orly; Katzir, Tami

    2016-01-01

    The current study investigated early elementary school teachers' beliefs and practices regarding the role of Executive Functions (EFs) in reading and arithmetic. A new research questionnaire was developed and judged by professionals in the academia and the field. Reponses were obtained from 144 teachers from Israel. Factor analysis divided the questionnaire into three valid and reliable subscales, reflecting (1) beliefs regarding the contribution of EFs to reading and arithmetic, (2) pedagogical practices, and (3) a connection between the cognitive mechanisms of reading and arithmetic. Findings indicate that teachers believe EFs affect students' performance in reading and arithmetic. These beliefs were also correlated with pedagogical practices. Additionally, special education teachers' scored higher on the different subscales compared to general education teachers. These findings shed light on the way teachers perceive the cognitive foundations of reading and arithmetic and indicate to which extent these perceptions guide their teaching practices.

  12. Integration of the Opportunity-Ability-Motivation behavior change framework into a coaching-based WHO Safe Childbirth Checklist program in India.

    Science.gov (United States)

    Hirschhorn, Lisa R; Krasne, Margaret; Maisonneuve, Jenny; Kara, Nabihah; Kalita, Tapan; Henrich, Natalie; Rana, Darpan; Maji, Pinki; Delaney, Megan M; Firestone, Rebecca; Sharma, Narender; Kumar, Vishwajeet; Gawande, Atul A; Semrau, Katherine E A

    2018-06-03

    To evaluate whether integration of the Opportunity-Ability-Motivation plus Supplies (OAMS) framework into coaching improved the delivery of essential birth practices in a low-resource setting. This prospective mixed-methods study used routine coaching visit data obtained from the first eight intervention facilities of the BetterBirth trial in Uttar Pradesh, India, between December 19, 2014, and October 21, 2015. The 8-month intervention was peer coaching that integrated the OAMS framework to support uptake of the WHO Safe Childbirth Checklist. Descriptive statistics were used to measure nonadherence to essential birth practices. The frequency and accuracy of coaches' coding of barriers and the appropriateness of chosen resolution strategies to measure feasibility, acceptability, and fidelity of using OAMS, were assessed. Coaches observed 666 deliveries, including 12 602 practices. Overall, essential practice nonadherence decreased from 15.6% (262/1675 practices observed) to 4.5% (4/88 practices) (Pmotivation (287 [27.4%]) were the most frequently reported categories; the frequency of both decreased over time (P=0.003 and Prights reserved. This article is protected by copyright. All rights reserved.

  13. External cooling: The SWR 1000 severe accident management strategy. Part 1: motivation, strategy, analysis: melt phase, vessel integrity during melt-water interaction

    International Nuclear Information System (INIS)

    Kolev, Nikolay Ivanov

    2004-01-01

    This paper provides the description of the basics behind design features for the severe accident management strategy of the SWR 1000. The hydrogen detonation/deflagration problem is avoided by containment inertization. In-vessel retention of molten core debris via water cooling of the external surface of the reactor vessel is the severe accident management concept of the SWR 1000 passive plant. During postulated bounding severe accidents, the accident management strategy is to flood the reactor cavity with Core Flooding Pool water and to submerge the reactor vessel, thus preventing vessel failure in the SWR 1000. Considerable safety margins have determined by using state of the art experiment and analysis: regarding (a) strength of the vessel during the melt relocation and its interaction with water; (b) the heat flux at the external vessel wall; (c) the structural resistance of the hot structures during the long term period. Ex-vessel events are prevented by preserving the integrity of the vessel and its penetrations and by assuring positive external pressure at the predominant part of the external vessel in the region of the molten corium pool. Part 1 describes the motivation for selecting this strategy, the general description of the strategy and the part of the analysis associated with the vessel integrity during the melt-water interaction. (author)

  14. Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers

    Directory of Open Access Journals (Sweden)

    Emily Szkudlarek

    2018-05-01

    Full Text Available Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1 compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2 to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children (n = 158 were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that

  15. Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers.

    Science.gov (United States)

    Szkudlarek, Emily; Brannon, Elizabeth M

    2018-01-01

    Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1) compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2) to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children ( n = 158) were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that approximate arithmetic

  16. International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics

    CERN Document Server

    DEVELOPMENTS IN RELIABLE COMPUTING

    1999-01-01

    The SCAN conference, the International Symposium on Scientific Com­ puting, Computer Arithmetic and Validated Numerics, takes place bian­ nually under the joint auspices of GAMM (Gesellschaft fiir Angewandte Mathematik und Mechanik) and IMACS (International Association for Mathematics and Computers in Simulation). SCAN-98 attracted more than 100 participants from 21 countries all over the world. During the four days from September 22 to 25, nine highlighted, plenary lectures and over 70 contributed talks were given. These figures indicate a large participation, which was partly caused by the attraction of the organizing country, Hungary, but also the effec­ tive support system have contributed to the success. The conference was substantially supported by the Hungarian Research Fund OTKA, GAMM, the National Technology Development Board OMFB and by the J6zsef Attila University. Due to this funding, it was possible to subsidize the participation of over 20 scientists, mainly from Eastern European countries. I...

  17. Conference on Arithmetic and Ideal Theory of Rings and Semigroups

    CERN Document Server

    Fontana, Marco; Geroldinger, Alfred; Olberding, Bruce

    2016-01-01

    This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.

  18. Short-term memory impairment and arithmetical ability.

    Science.gov (United States)

    Butterworth, B; Cipolotti, L; Warrington, E K

    1996-02-01

    We document the dissociation of preserved calculation skills in a patient with impaired auditory short-term memory. The patient (MRF) had a memory span of three digits. Furthermore, he showed rapid decrement in performance of single digits and letters with both auditory and visual presentation in the Brown-Peterson forgetting task. Analysis of his calculation skills revealed a normal ability to solve auditorily presented multidigit addition and subtraction problems such as 173 + 68 and to execute the Paced Auditory Serial Addition Task (Sampson, 1956, 1958; Gronwall, 1977). In addition, his performance on other tests, including arithmetic manipulation of natural numbers, decimals and fractions, approximation, magnitude, ratio, and percentage, appeared to be normal (Hitch, 1978b). It is argued that these findings require a revision of Baddeley and Hitch's (1974) concept of the function of working memory.

  19. Embedded systems design with special arithmetic and number systems

    CERN Document Server

    Sousa, Leonel; Chang, Chip-Hong

    2017-01-01

    This book introduces readers to alternative approaches to designing efficient embedded systems using unconventional number systems. The authors describe various systems that can be used for designing efficient embedded and application-specific processors, such as Residue Number System, Logarithmic Number System, Redundant Binary Number System Double-Base Number System, Decimal Floating Point Number System and Continuous Valued Number System. Readers will learn the strategies and trade-offs of using unconventional number systems in application-specific processors and be able to apply and design appropriate arithmetic operations from these number systems to boost the performance of digital systems. • Serves as a single-source reference to designing embedded systems with unconventional number systems • Covers theory as well as implementation on application-specific processors • Explains mathematical concepts in a manner accessible to readers with diverse backgrounds.

  20. Modeling Brain Responses in an Arithmetic Working Memory Task

    Science.gov (United States)

    Hamid, Aini Ismafairus Abd; Yusoff, Ahmad Nazlim; Mukari, Siti Zamratol-Mai Sarah; Mohamad, Mazlyfarina; Manan, Hanani Abdul; Hamid, Khairiah Abdul

    2010-07-01

    Functional magnetic resonance imaging (fMRI) was used to investigate brain responses due to arithmetic working memory. Nine healthy young male subjects were given simple addition and subtraction instructions in noise and in quiet. The general linear model (GLM) and random field theory (RFT) were implemented in modelling the activation. The results showed that addition and subtraction evoked bilateral activation in Heschl's gyrus (HG), superior temporal gyrus (STG), inferior frontal gyrus (IFG), supramarginal gyrus (SG) and precentral gyrus (PCG). The HG, STG, SG and PCG activate higher number of voxels in noise as compared to in quiet for addition and subtraction except for IFG that showed otherwise. The percentage of signal change (PSC) in all areas is higher in quiet as compared to in noise. Surprisingly addition (not subtraction) exhibits stronger activation.

  1. Imagining Change: An Integrative Approach toward Explaining the Motivational Role of Mental Imagery in Pro-environmental Behavior

    Science.gov (United States)

    Boomsma, Christine; Pahl, Sabine; Andrade, Jackie

    2016-01-01

    Climate change and other long-term environmental issues are often perceived as abstract and difficult to imagine. The images a person associates with environmental change, i.e., a person’s environmental mental images, can be influenced by the visual information they come across in the public domain. This paper reviews the literature on this topic across social, environmental, and cognitive psychology, and the wider social sciences; thereby responding to a call for more critical investigations into people’s responses to visual information. By integrating the literature we come to a better understanding of the lack in vivid and concrete environmental mental imagery reported by the public, the link between environmental mental images and goals, and how affectively charged external images could help in making mental imagery less abstract. Preliminary research reports on the development of a new measure of environmental mental imagery and three tests of the relationship between environmental mental imagery, pro-environmental goals and behavior. Furthermore, the paper provides a program of research, drawing upon approaches from different disciplines, to set out the next steps needed to examine how and why we should encourage the public to imagine environmental change. PMID:27909415

  2. The Impact of Individual, Competitive, and Collaborative Mathematics Game Play on Learning, Performance, and Motivation

    Science.gov (United States)

    Plass, Jan L.; O'Keefe, Paul A.; Homer, Bruce D.; Case, Jennifer; Hayward, Elizabeth O.; Stein, Murphy; Perlin, Ken

    2013-01-01

    The present research examined how mode of play in an educational mathematics video game impacts learning, performance, and motivation. The game was designed for the practice and automation of arithmetic skills to increase fluency and was adapted to allow for individual, competitive, or collaborative game play. Participants (N = 58) from urban…

  3. Enlightenment From Motivation In Foreign Language Learning

    Institute of Scientific and Technical Information of China (English)

    张楠

    2015-01-01

    This paper selects one of classifications of motivation in foreign language learning,that is,instrumental and integrative motivation.By analyzing such a distinction,it hopes to direct foreign language teaching in China.

  4. Motivated Explanation

    Directory of Open Access Journals (Sweden)

    Richard ePatterson

    2015-10-01

    Full Text Available Although motivation is a well-established field of study in its own right, and has been fruitfully studied in connection with attribution theory and belief formation under the heading of motivated thinking, its powerful and pervasive influence on explanatory processes is less well explored. Where one has a strong motivation to understand some event correctly, one is thereby motivated to adhere as best one can to normative or epistemic criteria for correct or accurate explanation, even if one does not consciously formulate or apply such criteria. By contrast, many of our motivations to explain introduce bias into the processes involved in generating, evaluating, or giving of explanations. Non-epistemic explanatory motivations, or (following Kunda’s usage, directional motivations, include self-justification, resolution of cognitive dissonance, deliberate deception, teaching, and many more. Some of these motivations lead to the relaxation or violation of epistemic norms, combined with an effort to preserve the appearance of accuracy; others enhance epistemic motivation, so that one engages in more careful and thorough generational and evaluative processes. In short, real life explanatory processes are often constrained by multiple goals, epistemic and directional, where these goals may mutually reinforce one another or may conflict, and where our explanations emerge as a matter of weighing and satisfying those goals. Our proposals are largely programmatic, although we do review a good deal of relevant behavioral and neurological evidence. Specifically, we recognize five generative processes, some of which cover further sub-processes, and six evaluative processes. All of these are potential points of entry for the influence of motivation. We then suggest in some detail how specific sorts of explanatory motivation interact with specific explanatory processes.

  5. Pricing and hedging of arithmetic Asian options via the Edgeworth series expansion approach

    Directory of Open Access Journals (Sweden)

    Weiping Li

    2016-03-01

    Full Text Available In this paper, we derive a pricing formula for arithmetic Asian options by using the Edgeworth series expansion. Our pricing formula consists of a Black-Scholes-Merton type formula and a finite sum with the estimation of the remainder term. Moreover, we present explicitly a method to compute each term in our pricing formula. The hedging formulas (greek letters for the arithmetic Asian options are obtained as well. Our formulas for the long lasting question on pricing and hedging arithmetic Asian options are easy to implement with enough accuracy. Our numerical illustration shows that the arithmetic Asian options worths less than the European options under the standard Black-Scholes assumptions, verifies theoretically that the volatility of the arithmetic average is less than the one of the underlying assets, and also discovers an interesting phenomena that the arithmetic Asian option for large fixed strikes such as stocks has higher volatility (elasticity than the plain European option. However, the elasticity of the arithmetic Asian options for small fixed strikes as trading in currencies and commodity products is much less than the elasticity of the plain European option. These findings are consistent with the ones from the hedgings with respect to the time to expiration, the strike, the present underlying asset price, the interest rate and the volatility.

  6. Prospective relations between resting-state connectivity of parietal subdivisions and arithmetic competence.

    Science.gov (United States)

    Price, Gavin R; Yeo, Darren J; Wilkey, Eric D; Cutting, Laurie E

    2018-04-01

    The present study investigates the relation between resting-state functional connectivity (rsFC) of cytoarchitectonically defined subdivisions of the parietal cortex at the end of 1st grade and arithmetic performance at the end of 2nd grade. Results revealed a dissociable pattern of relations between rsFC and arithmetic competence among subdivisions of intraparietal sulcus (IPS) and angular gyrus (AG). rsFC between right hemisphere IPS subdivisions and contralateral IPS subdivisions positively correlated with arithmetic competence. In contrast, rsFC between the left hIP1 and the right medial temporal lobe, and rsFC between the left AG and left superior frontal gyrus, were negatively correlated with arithmetic competence. These results suggest that strong inter-hemispheric IPS connectivity is important for math development, reflecting either neurocognitive mechanisms specific to arithmetic processing, domain-general mechanisms that are particularly relevant to arithmetic competence, or structural 'cortical maturity'. Stronger connectivity between IPS, and AG, subdivisions and frontal and temporal cortices, however, appears to be negatively associated with math development, possibly reflecting the ability to disengage suboptimal problem-solving strategies during mathematical processing, or to flexibly reorient task-based networks. Importantly, the reported results pertain even when controlling for reading, spatial attention, and working memory, suggesting that the observed rsFC-behavior relations are specific to arithmetic competence. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.

  7. Examining the relationship between rapid automatized naming and arithmetic fluency in Chinese kindergarten children.

    Science.gov (United States)

    Cui, Jiaxin; Georgiou, George K; Zhang, Yiyun; Li, Yixun; Shu, Hua; Zhou, Xinlin

    2017-02-01

    Rapid automatized naming (RAN) has been found to predict mathematics. However, the nature of their relationship remains unclear. Thus, the purpose of this study was twofold: (a) to examine how RAN (numeric and non-numeric) predicts a subdomain of mathematics (arithmetic fluency) and (b) to examine what processing skills may account for the RAN-arithmetic fluency relationship. A total of 160 third-year kindergarten Chinese children (83 boys and 77 girls, mean age=5.11years) were assessed on RAN (colors, objects, digits, and dice), nonverbal IQ, visual-verbal paired associate learning, phonological awareness, short-term memory, speed of processing, approximate number system acuity, and arithmetic fluency (addition and subtraction). The results indicated first that RAN was a significant correlate of arithmetic fluency and the correlations did not vary as a function of type of RAN or arithmetic fluency tasks. In addition, RAN continued to predict addition and subtraction fluency even after controlling for all other processing skills. Taken together, these findings challenge the existing theoretical accounts of the RAN-arithmetic fluency relationship and suggest that, similar to reading fluency, multiple processes underlie the RAN-arithmetic fluency relationship. Copyright © 2016 Elsevier Inc. All rights reserved.

  8. Arithmetic difficulties in children with cerebral palsy are related to executive function and working memory.

    Science.gov (United States)

    Jenks, Kathleen M; de Moor, Jan; van Lieshout, Ernest C D M

    2009-07-01

    Although it is believed that children with cerebral palsy are at high risk for learning difficulties and arithmetic difficulties in particular, few studies have investigated this issue. Arithmetic ability was longitudinally assessed in children with cerebral palsy in special (n = 41) and mainstream education (n = 16) and controls in mainstream education (n = 16). Second grade executive function and working memory scores were used to predict third grade arithmetic accuracy and response time. Children with cerebral palsy in special education were less accurate and slower than their peers on all arithmetic tests, even after controlling for IQ, whereas children with cerebral palsy in mainstream education performed as well as controls. Although the performance gap became smaller over time, it did not disappear. Children with cerebral palsy in special education showed evidence of executive function and working memory deficits in shifting, updating, visuospatial sketchpad and phonological loop (for digits, not words) whereas children with cerebral palsy in mainstream education only had a deficit in visuospatial sketchpad. Hierarchical regression revealed that, after controlling for intelligence, components of executive function and working memory explained large proportions of unique variance in arithmetic accuracy and response time and these variables were sufficient to explain group differences in simple, but not complex, arithmetic. Children with cerebral palsy are at risk for specific executive function and working memory deficits that, when present, increase the risk for arithmetic difficulties in these children.

  9. Drinking motives

    NARCIS (Netherlands)

    Jacob Rosendahl; Lenka van Riemsdijk; Klaus Grunert; Johan van Berkel

    2013-01-01

    Chapter 8 in Comsumption Culture in Europe. This chapter presents an analysis of what consumer in Europe drink and why they drink what they drink. The concept of drinking motives is developed and defined, and analysis of data on drinking motives shows that these can be grouped into two major

  10. Drinking Motives

    DEFF Research Database (Denmark)

    Grunert, Klaus G; Rosendahl, Jacob; Andronikidis, Andreas I.

    2013-01-01

    . This distinction is universal and henceapplies across Europe. However, the importance of self-expressive as compared to functional motives, as well as the way in which these relate to different beverages, does differ across Europe. Both dimensions are relevant for the motives for drinking non-alcoholic drinks...

  11. Intrinsic Motivation.

    Science.gov (United States)

    Deci, Edward L.

    The paper draws together a wide variety of research which relates to the topic of intrinsic motivation; intrinsically motivated activities are defined as those which a person does for no apparent reward except the activity itself or the feelings which result from the activity. Most of this research was not originally reported within the framework…

  12. Gerontechnology motivation

    NARCIS (Netherlands)

    Bronswijk, van J.E.M.H.

    2006-01-01

    Gerontechnology’s framework has been formulated in a functional way, with little attention paid to motivation. Abraham H. Maslow’s theory of human motivation (1943) can fill this gap with his hierarchy of needs to be fulfilled in the following order: physiological, safety related, social, esteem and

  13. Employee Motivation at IKEA Espoo

    OpenAIRE

    Thapa, Kumar; Adhikari, Devendra

    2013-01-01

    How to motivate employees and the factors affecting motivation have been subjects of concern for many researchers and practitioners for decades. Until recently employees were primarily regarded as a factor of production (i.e. labor), and not, as in the current view, as an integral part of all businesses. Therefore, motivating employees has become essential in order to achieve the strategic goals of any company. However, due to the current state of competition in the job markets it has increas...

  14. Individual structural differences in left inferior parietal area are associated with schoolchildrens’ arithmetic scores

    Directory of Open Access Journals (Sweden)

    Yongxin eLi

    2013-12-01

    Full Text Available Arithmetic skill is of critical importance for academic achievement, professional success and everyday life, and childhood is the key period to acquire this skill. Neuroimaging studies have identified that left parietal regions are a key neural substrate for representing arithmetic skill. Although the relationship between functional brain activity in left parietal regions and arithmetic skill has been studied in detail, it remains unclear about the relationship between arithmetic achievement and structural properties in left inferior parietal area in schoolchildren. The current study employed a combination of voxel-based morphometry (VBM for high-resolution T1-weighted images and fiber tracking on diffusion tensor imaging (DTI to examine the relationship between structural properties in the inferior parietal area and arithmetic achievement in 10-year-old schoolchildren. VBM of the T1-weighted images revealed that individual differences in arithmetic scores were significantly and positively correlated with the grey matter (GM volume in the left intraparietal sulcus (IPS. Fiber tracking analysis revealed that the forceps major, left superior longitudinal fasciculus (SLF, bilateral inferior longitudinal fasciculus (ILF and inferior fronto-occipital fasciculus (IFOF were the primary pathways connecting the left IPS with other brain areas. Furthermore, the regression analysis of the probabilistic pathways revealed a significant and positive correlation between the fractional anisotropy (FA values in the left SLF, ILF and bilateral IFOF and arithmetic scores. The brain structure-behavior correlation analyses indicated that the GM volumes in the left IPS and the FA values in the tract pathways connecting left IPS were both related to children’s arithmetic achievement. The present findings provide evidence that individual structural differences in the left IPS are associated with arithmetic scores in schoolchildren.

  15. Energy-Efficient Wide Datapath Integer Arithmetic Logic Units Using Superconductor Logic

    Science.gov (United States)

    Ayala, Christopher Lawrence

    Complementary Metal-Oxide-Semiconductor (CMOS) technology is currently the most widely used integrated circuit technology today. As CMOS approaches the physical limitations of scaling, it is unclear whether or not it can provide long-term support for niche areas such as high-performance computing and telecommunication infrastructure, particularly with the emergence of cloud computing. Alternatively, superconductor technologies based on Josephson junction (JJ) switching elements such as Rapid Single Flux Quantum (RSFQ) logic and especially its new variant, Energy-Efficient Rapid Single Flux Quantum (ERSFQ) logic have the capability to provide an ultra-high-speed, low power platform for digital systems. The objective of this research is to design and evaluate energy-efficient, high-speed 32-bit integer Arithmetic Logic Units (ALUs) implemented using RSFQ and ERSFQ logic as the first steps towards achieving practical Very-Large-Scale-Integration (VLSI) complexity in digital superconductor electronics. First, a tunable VHDL superconductor cell library is created to provide a mechanism to conduct design exploration and evaluation of superconductor digital circuits from the perspectives of functionality, complexity, performance, and energy-efficiency. Second, hybrid wave-pipelining techniques developed earlier for wide datapath RSFQ designs have been used for efficient arithmetic and logic circuit implementations. To develop the core foundation of the ALU, the ripple-carry adder and the Kogge-Stone parallel prefix carry look-ahead adder are studied as representative candidates on opposite ends of the design spectrum. By combining the high-performance features of the Kogge-Stone structure and the low complexity of the ripple-carry adder, a 32-bit asynchronous wave-pipelined hybrid sparse-tree ALU has been designed and evaluated using the VHDL cell library tuned to HYPRES' gate-level characteristics. The designs and techniques from this research have been implemented using

  16. Motivational interviewing

    DEFF Research Database (Denmark)

    Karlsen, Kamilla; Humaidan, Peter; Sørensen, Lise H

    2013-01-01

    This is a retrospective study to investigate whether motivational interviewing increases weight loss among obese or overweight women prior to fertility treatment. Women with body mass index (BMI) > 30 kg/m(2) approaching the Fertility Clinic, Regional Hospital Skive, were given advice about diet...... and physical activity with the purpose of weight loss. In addition, they were asked if they wanted to receive motivational interviewing. Among other data, age, height and weight were obtained. Main outcomes were weight loss measured in kg and decrease in BMI. We studied 187 women: 110 received sessions...... of motivational interviewing (intervention group, n = 110), 64 received motivational support by phone or e-mail only and 13 women did not wish any motivational support (control group, n = 77). The mean weight loss and decrease in BMI was greater in the intervention group compared with the control group (9.3 kg...

  17. Integration of a Communal Henhouse and Community Composter to Increase Motivation in Recycling Programs: Overview of a Three-Year Pilot Experience in Noáin (Spain

    Directory of Open Access Journals (Sweden)

    Francesco Storino

    2018-03-01

    Full Text Available This paper presents a three-year pilot experience of a new municipal waste management system developed in Navarre, Spain that integrates composting and hens. The aim of this new system is to motivate the general public to participate more in waste prevention programs. The Composter-Henhouse (CH is a compact facility comprised of a henhouse and three composters. This is shared by 30 families who provide the organic part of their kitchen waste to feed the hens. Hens help speed up the composting process by depositing their droppings and turning the organic residue into compost. This study assesses the CH in terms of treatment capacity, the technical adequacy of the composting process, the quality and safety of the compost obtained and some social aspects. Over three years, the CH has managed nearly 16.5 tons of organic waste and produced approximately 5600 kg of compost and more than 6000 high-quality fresh eggs. No problems or nuisances have been reported and the level of animal welfare has been very high. The follow up of the composting process (temperature, volume reduction and compost maturity and a physicochemical and microbiological analysis of the compost have ensured the proper management of the process. The level of involvement and user satisfaction has been outstanding and the project has presented clear social benefits.

  18. The unique and shared contributions of arithmetic operation understanding and numerical magnitude representation to children's mathematics achievement.

    Science.gov (United States)

    Wong, Terry Tin-Yau

    2017-12-01

    The current study examined the unique and shared contributions of arithmetic operation understanding and numerical magnitude representation to children's mathematics achievement. A sample of 124 fourth graders was tested on their arithmetic operation understanding (as reflected by their understanding of arithmetic principles and the knowledge about the application of arithmetic operations) and their precision of rational number magnitude representation. They were also tested on their mathematics achievement and arithmetic computation performance as well as the potential confounding factors. The findings suggested that both arithmetic operation understanding and numerical magnitude representation uniquely predicted children's mathematics achievement. The findings highlight the significance of arithmetic operation understanding in mathematics learning. Copyright © 2017 Elsevier Inc. All rights reserved.

  19. On the validity of the arithmetic-geometric mean method to locate the optimal solution in a supply chain system

    Science.gov (United States)

    Chung, Kun-Jen

    2012-08-01

    Cardenas-Barron [Cardenas-Barron, L.E. (2010) 'A Simple Method to Compute Economic order Quantities: Some Observations', Applied Mathematical Modelling, 34, 1684-1688] indicates that there are several functions in which the arithmetic-geometric mean method (AGM) does not give the minimum. This article presents another situation to reveal that the AGM inequality to locate the optimal solution may be invalid for Teng, Chen, and Goyal [Teng, J.T., Chen, J., and Goyal S.K. (2009), 'A Comprehensive Note on: An Inventory Model under Two Levels of Trade Credit and Limited Storage Space Derived without Derivatives', Applied Mathematical Modelling, 33, 4388-4396], Teng and Goyal [Teng, J.T., and Goyal S.K. (2009), 'Comment on 'Optimal Inventory Replenishment Policy for the EPQ Model under Trade Credit Derived without Derivatives', International Journal of Systems Science, 40, 1095-1098] and Hsieh, Chang, Weng, and Dye [Hsieh, T.P., Chang, H.J., Weng, M.W., and Dye, C.Y. (2008), 'A Simple Approach to an Integrated Single-vendor Single-buyer Inventory System with Shortage', Production Planning and Control, 19, 601-604]. So, the main purpose of this article is to adopt the calculus approach not only to overcome shortcomings of the arithmetic-geometric mean method of Teng et al. (2009), Teng and Goyal (2009) and Hsieh et al. (2008), but also to develop the complete solution procedures for them.

  20. VLSI System Implementation of 200 MHz, 8-bit, 90nm CMOS Arithmetic and Logic Unit (ALU Processor Controller

    Directory of Open Access Journals (Sweden)

    Fazal NOORBASHA

    2012-08-01

    Full Text Available In this present study includes the Very Large Scale Integration (VLSI system implementation of 200MHz, 8-bit, 90nm Complementary Metal Oxide Semiconductor (CMOS Arithmetic and Logic Unit (ALU processor control with logic gate design style and 0.12µm six metal 90nm CMOS fabrication technology. The system blocks and the behaviour are defined and the logical design is implemented in gate level in the design phase. Then, the logic circuits are simulated and the subunits are converted in to 90nm CMOS layout. Finally, in order to construct the VLSI system these units are placed in the floor plan and simulated with analog and digital, logic and switch level simulators. The results of the simulations indicates that the VLSI system can control different instructions which can divided into sub groups: transfer instructions, arithmetic and logic instructions, rotate and shift instructions, branch instructions, input/output instructions, control instructions. The data bus of the system is 16-bit. It runs at 200MHz, and operating power is 1.2V. In this paper, the parametric analysis of the system, the design steps and obtained results are explained.

  1. The Role of Metamotivational Monitoring in Motivation Regulation

    Science.gov (United States)

    Miele, David B.; Scholer, Abigail A.

    2018-01-01

    This article builds on existing models of motivation regulation in order to examine how students identify and address motivational deficits (e.g., not enough motivation or not the right type of motivation). Integrating perspectives from the achievement motivation, metacognition, and emotion regulation literatures, we propose that metamotivational…

  2. Advanced topics in the arithmetic of elliptic curves

    CERN Document Server

    Silverman, Joseph H

    1994-01-01

    In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of can...

  3. Lossless Authentication Watermarking Based on Adaptive Modular Arithmetic

    Directory of Open Access Journals (Sweden)

    H. Yang

    2010-04-01

    Full Text Available Reversible watermarking schemes based on modulo-256 addition may cause annoying salt-and-pepper noise. To avoid the salt-and-pepper noise, a reversible watermarking scheme using human visual perception characteristics and adaptive modular arithmetic is proposed. First, a high-bit residual image is obtained by extracting the most significant bits (MSB of the original image, and a new spatial visual perception model is built according to the high-bit residual image features. Second, the watermark strength and the adaptive divisor of modulo operation for each pixel are determined by the visual perception model. Finally, the watermark is embedded into different least significant bits (LSB of original image with adaptive modulo addition. The original image can be losslessly recovered if the stego-image has not been altered. Extensive experiments show that the proposed algorithm eliminates the salt-and-pepper noise effectively, and the visual quality of the stego-image with the proposed algorithm has been dramatically improved over some existing reversible watermarking algorithms. Especially, the stegoimage of this algorithm has about 9.9864 dB higher PSNR value than that of modulo-256 addition based reversible watermarking scheme.

  4. Signatures of arithmetic simplicity in metabolic network architecture.

    Directory of Open Access Journals (Sweden)

    William J Riehl

    2010-04-01

    Full Text Available Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best characterized networks in living systems, understanding their evolutionary history and complex wiring constitutes one of the most fascinating open questions in biology, intimately related to the enigma of life's origin itself. Is the evolution of metabolism subject to general principles, beyond the unpredictable accumulation of multiple historical accidents? Here we search for such principles by applying to an artificial chemical universe some of the methodologies developed for the study of genome scale models of cellular metabolism. In particular, we use metabolic flux constraint-based models to exhaustively search for artificial chemistry pathways that can optimally perform an array of elementary metabolic functions. Despite the simplicity of the model employed, we find that the ensuing pathways display a surprisingly rich set of properties, including the existence of autocatalytic cycles and hierarchical modules, the appearance of universally preferable metabolites and reactions, and a logarithmic trend of pathway length as a function of input/output molecule size. Some of these properties can be derived analytically, borrowing methods previously used in cryptography. In addition, by mapping biochemical networks onto a simplified carbon atom reaction backbone, we find that properties similar to those predicted for the artificial chemistry hold also for real metabolic networks. These findings suggest that optimality principles and arithmetic simplicity might lie beneath some aspects of biochemical complexity.

  5. Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading.

    Directory of Open Access Journals (Sweden)

    Kiran Vanbinst

    Full Text Available In this article, we tested, using a 1-year longitudinal design, whether symbolic numerical magnitude processing or children's numerical representation of Arabic digits, is as important to arithmetic as phonological awareness is to reading. Children completed measures of symbolic comparison, phonological awareness, arithmetic, reading at the start of third grade and the latter two were retested at the start of fourth grade. Cross-sectional and longitudinal correlations indicated that symbolic comparison was a powerful domain-specific predictor of arithmetic and that phonological awareness was a unique predictor of reading. Crucially, the strength of these independent associations was not significantly different. This indicates that symbolic numerical magnitude processing is as important to arithmetic development as phonological awareness is to reading and suggests that symbolic numerical magnitude processing is a good candidate for screening children at risk for developing mathematical difficulties.

  6. The effects of auditory stimulation on the arithmetic performance of children with ADHD and nondisabled children.

    Science.gov (United States)

    Abikoff, H; Courtney, M E; Szeibel, P J; Koplewicz, H S

    1996-05-01

    This study evaluated the impact of extra-task stimulation on the academic task performance of children with attention-deficit/hyperactivity disorder (ADHD). Twenty boys with ADHD and 20 nondisabled boys worked on an arithmetic task during high stimulation (music), low stimulation (speech), and no stimulation (silence). The music "distractors" were individualized for each child, and the arithmetic problems were at each child's ability level. A significant Group x Condition interaction was found for number of correct answers. Specifically, the nondisabled youngsters performed similarly under all three auditory conditions. In contrast, the children with ADHD did significantly better under the music condition than speech or silence conditions. However, a significant Group x Order interaction indicated that arithmetic performance was enhanced only for those children with ADHD who received music as the first condition. The facilitative effects of salient auditory stimulation on the arithmetic performance of the children with ADHD provide some support for the underarousal/optimal stimulation theory of ADHD.

  7. Modified LMI condition for the realization of limit cycle-free digital filters using saturation arithmetic

    International Nuclear Information System (INIS)

    Singh, Vimal

    2007-01-01

    A criterion in the form of linear matrix inequality for the elimination of limit cycles in a class of state-space digital filters using saturation arithmetic is presented. The criterion is a modified form of a previously reported criterion

  8. RAID-6 reed-solomon codes with asymptotically optimal arithmetic complexities

    KAUST Repository

    Lin, Sian-Jheng; Alloum, Amira; Al-Naffouri, Tareq Y.

    2016-01-01

    present a configuration of the factors of the second-parity formula, such that the arithmetic complexity can reach the optimal complexity bound when the code length approaches infinity. In the proposed approach, the intermediate data used for the first

  9. Directed Motivational Currents: Using vision to create effective motivational pathways

    Directory of Open Access Journals (Sweden)

    Christine Muir

    2013-10-01

    Full Text Available Vision, that is, the mental representation of the sensory experience of a future goal state (involving imagination and imagery, is currently at the forefront of motivational innovation, and in recent years it has been seen increasingly more often in the motivational tool kit of practicing language teachers. Theories such as Dörnyei’s L2 motivational self system have explored the power that creating effective visions can harness (see, e.g., Dörnyei & Kubanyiova, 2014 and when viewed in conjunction with other current research avenues, such as future time perspective and dynamic systems theory, vision offers exciting potential. A Directed Motivational Current is a new motivational construct that we suggest is capable of integrating many current theoretical strands with vision: It can be described as a motivational drive which energises long-term, sustained behaviour (such as language learning, and through placing vision and goals as critical central components within this construct, it offers real and practical motivational potential. In this conceptual paper, we first discuss current understandings of vision and of Directed Motivational Currents, and then analyse how they may be optimally integrated and employed to create effective motivational pathways in language learning environments.

  10. Motivating pharmacists.

    Science.gov (United States)

    Donehew, G R

    1979-01-01

    Although pharmacists are developing interest in many types of pharmacy practice, they are still spending the bulk of their time in the prescription dispensing process. Any effort to provide motivation must consider the prescription dispensing process. The pharmacy literature includes only a few studies that dealt with pharmacists as people. The studies usually showed that pharmacists basically were unhappy with their jobs. In developing a motivational climate for pharmacists, pharmacy supervisors have several concepts to consider: the hierarchy of needs by Maslow; the expectancy theory by Hampton; the gygiene-motivator theory by Herzberg; and the Theory Y management approach by McGregor. Because pharmacists must be induced to enter and remain in an organization, supervisors should be aware of the need to use any technique available in developing a motivational climate.

  11. Designing motivation

    DEFF Research Database (Denmark)

    How can products be designed to change our habits for the better? What is some of the leading research that designers can draw on to create new systems that motivate people towards healthier behaviour? Designing Motivation is an edited collection of ‘industrialist cheat sheets’: 22 single......-page summaries of research articles relating to technology design, motivation, and behaviour change. Ranging across the fields of economics, sociology, design research and behavioural science, each summary draws out the design implications of the research. It is intended as a resource for designers who...... are grappling with how to create motivating products, and as a primer for students who want a brief introduction to some of the relevant theories, findings and design interventions in these fields. The editor's introduction raises a number of issues encountered when we try to apply behavioural research...

  12. Motivational Profiles and Motivation for Lifelong Learning of Medical Specialists.

    Science.gov (United States)

    van der Burgt, Stéphanie M E; Kusurkar, Rashmi A; Wilschut, Janneke A; Tjin A Tsoi, Sharon L N M; Croiset, Gerda; Peerdeman, Saskia M

    2018-05-22

    Medical specialists face the challenge of maintaining their knowledge and skills and continuing professional development, that is, lifelong learning. Motivation may play an integral role in many of the challenges facing the physician workforce today including maintenance of a high performance. The aim of this study was to determine whether medical specialists show different motivational profiles and if these profiles predict differences in motivation for lifelong learning. An online questionnaire was sent to every medical specialist working in five hospitals in the Netherlands. The questionnaire included the validated Multidimensional Work Motivation Scale and the Jefferson Scale of Physician Lifelong Learning together with background questions like age, gender, and type of hospital. Respondents were grouped into different motivational profiles by using a two-step clustering approach. Four motivational profiles were identified: (1) HAMC profile (for High Autonomous and Moderate Controlled motivation), (2) MAMC profile (for Moderate Autonomous and Moderate Controlled motivation), (3) MALC profile (for Moderate Autonomous and Low Controlled motivation), and (4) HALC profile (for High Autonomous and Low Controlled motivation). Most of the female specialists that work in an academic hospital and specialists with a surgical specialty were represented in the HALC profile. Four motivational profiles were found among medical specialists, differing in gender, experience and type of specialization. The profiles are based on the combination of autonomous motivation (AM) and controlled motivation (CM) in the specialists. The profiles that have a high score on autonomous motivation have a positive association with lifelong learning.This is an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License 4.0 (CCBY-NC-ND), where it is permissible to download and share the work provided it is properly cited. The work

  13. Strategies of solving arithmetic word problems in students with learning difficulties in mathematics

    OpenAIRE

    Kalan, Marko

    2015-01-01

    Problem solving as an important skill is, beside arithmetic, measure and algebra, included in standards of school mathematics (National Council of Teachers of Mathematics) (NCTM, 2000) and needed as a necessary skill for successfulness in science, technology, engineering and mathematics (STEM) (National Mathematics Advisory Panel, 2008). Since solving of human problems is connected to the real life, the arithmetic word problems (in short AWP) are an important kind of mathematics tasks in scho...

  14. A Unified Formal Description of Arithmetic and Set Theoretical Data Types

    OpenAIRE

    Tarau, Paul

    2010-01-01

    We provide a "shared axiomatization" of natural numbers and hereditarily finite sets built around a polymorphic abstraction of bijective base-2 arithmetics. The "axiomatization" is described as a progressive refinement of Haskell type classes with examples of instances converging to an efficient implementation in terms of arbitrary length integers and bit operations. As an instance, we derive algorithms to perform arithmetic operations efficiently directly with hereditarily finite sets. The s...

  15. Simple Exact Algorithm for Transistor Sizing of Low-Power High-Speed Arithmetic Circuits

    Directory of Open Access Journals (Sweden)

    Tooraj Nikoubin

    2010-01-01

    Full Text Available A new transistor sizing algorithm, SEA (Simple Exact Algorithm, for optimizing low-power and high-speed arithmetic integrated circuits is proposed. In comparison with other transistor sizing algorithms, simplicity, accuracy, independency of order and initial sizing factors of transistors, and flexibility in choosing the optimization parameters such as power consumption, delay, Power-Delay Product (PDP, chip area or the combination of them are considered as the advantages of this new algorithm. More exhaustive rules of grouping transistors are the main trait of our algorithm. Hence, the SEA algorithm dominates some major transistor sizing metrics such as optimization rate, simulation speed, and reliability. According to approximate comparison of the SEA algorithm with MDE and ADC for a number of conventional full adder circuits, delay and PDP have been improved 55.01% and 57.92% on an average, respectively. By comparing the SEA and Chang's algorithm, 25.64% improvement in PDP and 33.16% improvement in delay have been achieved. All the simulations have been performed with 0.13 m technology based on the BSIM3v3 model using HSpice simulator software.

  16. Combinatorial and geometric aspects of Feynman graphs and Feynman integrals

    Energy Technology Data Exchange (ETDEWEB)

    Bergbauer, Christoph

    2009-06-11

    The integrals associated to Feynman graphs must have been a source of frustration for particle physicists ever since. Indeed there is a delicate difference between being able to draw a Feynman graph and being able to compute the associated Feynman integral. Although perturbation theory has brought enormous breakthroughs, many physicists turned to more abstract developments in quantum field theory, looked for other ways to produce perturbational results, or left the field entirely. Nonetheless there is a significant number of physicists, computational and theoretical, who pursue the quest for concepts and algorithms to compute and understand those integrals to higher and higher orders. Their motivation is to help test the validity of the underlying physical theory. For a mathematician, Feynman graphs and their integrals provide a rich subject in their own right, independent of their computability. It was only recently though that the work of Bloch, Esnault and Kreimer has brought a growing interest of mathematicians from various disciplines to the subject. In fact it opened up a completely new direction of research: a motivic interpretation of Feynman graphs that unites their combinatorial, geometric and arithmetic aspects. This idea had been in the air for a while, based on computational results of Broadhurst and Kreimer, and on a theorem of Belkale and Brosnan related to a conjecture of Kontsevich about the generality of the underlying motives. A prerequisite for the motivic approach is a profound understanding of renormalization that was established less recently in a modern language by Connes and Kreimer. This dissertation studies the renormalization of Feynman graphs in position space using an adapted resolution of singularities, and makes two other contributions of mostly combinatorial nature to the subject. I hope this may serve as a reference for somebody who feels comfortable with the traditional position space literature and looks for a transition to the

  17. Combinatorial and geometric aspects of Feynman graphs and Feynman integrals

    International Nuclear Information System (INIS)

    Bergbauer, Christoph

    2009-01-01

    The integrals associated to Feynman graphs must have been a source of frustration for particle physicists ever since. Indeed there is a delicate difference between being able to draw a Feynman graph and being able to compute the associated Feynman integral. Although perturbation theory has brought enormous breakthroughs, many physicists turned to more abstract developments in quantum field theory, looked for other ways to produce perturbational results, or left the field entirely. Nonetheless there is a significant number of physicists, computational and theoretical, who pursue the quest for concepts and algorithms to compute and understand those integrals to higher and higher orders. Their motivation is to help test the validity of the underlying physical theory. For a mathematician, Feynman graphs and their integrals provide a rich subject in their own right, independent of their computability. It was only recently though that the work of Bloch, Esnault and Kreimer has brought a growing interest of mathematicians from various disciplines to the subject. In fact it opened up a completely new direction of research: a motivic interpretation of Feynman graphs that unites their combinatorial, geometric and arithmetic aspects. This idea had been in the air for a while, based on computational results of Broadhurst and Kreimer, and on a theorem of Belkale and Brosnan related to a conjecture of Kontsevich about the generality of the underlying motives. A prerequisite for the motivic approach is a profound understanding of renormalization that was established less recently in a modern language by Connes and Kreimer. This dissertation studies the renormalization of Feynman graphs in position space using an adapted resolution of singularities, and makes two other contributions of mostly combinatorial nature to the subject. I hope this may serve as a reference for somebody who feels comfortable with the traditional position space literature and looks for a transition to the

  18. When problem size matters: differential effects of brain stimulation on arithmetic problem solving and neural oscillations.

    Directory of Open Access Journals (Sweden)

    Bruno Rütsche

    Full Text Available The problem size effect is a well-established finding in arithmetic problem solving and is characterized by worse performance in problems with larger compared to smaller operand size. Solving small and large arithmetic problems has also been shown to involve different cognitive processes and distinct electroencephalography (EEG oscillations over the left posterior parietal cortex (LPPC. In this study, we aimed to provide further evidence for these dissociations by using transcranial direct current stimulation (tDCS. Participants underwent anodal (30min, 1.5 mA, LPPC and sham tDCS. After the stimulation, we recorded their neural activity using EEG while the participants solved small and large arithmetic problems. We found that the tDCS effects on performance and oscillatory activity critically depended on the problem size. While anodal tDCS improved response latencies in large arithmetic problems, it decreased solution rates in small arithmetic problems. Likewise, the lower-alpha desynchronization in large problems increased, whereas the theta synchronization in small problems decreased. These findings reveal that the LPPC is differentially involved in solving small and large arithmetic problems and demonstrate that the effects of brain stimulation strikingly differ depending on the involved neuro-cognitive processes.

  19. Children learn spurious associations in their math textbooks: Examples from fraction arithmetic.

    Science.gov (United States)

    Braithwaite, David W; Siegler, Robert S

    2018-04-26

    Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge-rather than understanding of mathematical concepts and procedures-to guide choices of solution strategies. They further proposed that this associative knowledge reflects distributional characteristics of the fraction arithmetic problems children encounter. To test these hypotheses, we examined textbooks and middle school children in the United States (Experiments 1 and 2) and China (Experiment 3). We asked the children to predict which arithmetic operation would accompany a specified pair of operands, to generate operands to accompany a specified arithmetic operation, and to match operands and operations. In both countries, children's responses indicated that they associated operand pairs having equal denominators with addition and subtraction, and operand pairs having a whole number and a fraction with multiplication and division. The children's associations paralleled the textbook input in both countries, which was consistent with the hypothesis that children learned the associations from the practice problems. Differences in the effects of such associative knowledge on U.S. and Chinese children's fraction arithmetic performance are discussed, as are implications of these differences for educational practice. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

  20. Cognitive precursors of arithmetic development in primary school children with cerebral palsy.

    Science.gov (United States)

    Van Rooijen, M; Verhoeven, L; Smits, D W; Dallmeijer, A J; Becher, J G; Steenbergen, B

    2014-04-01

    The aim of this study was to examine the development of arithmetic performance and its cognitive precursors in children with CP from 7 till 9 years of age. Previous research has shown that children with CP are generally delayed in arithmetic performance compared to their typically developing peers. In children with CP, the developmental trajectory of the ability to solve addition- and subtraction tasks has, however, rarely been studied, as well as the cognitive factors affecting this trajectory. Sixty children (M=7.2 years, SD=.23 months at study entry) with CP participated in this study. Standardized tests were administered to assess arithmetic performance, word decoding skills, non-verbal intelligence, and working memory. The results showed that the ability to solve addition- and subtraction tasks increased over a two year period. Word decoding skills were positively related to the initial status of arithmetic performance. In addition, non-verbal intelligence and working memory were associated with the initial status and growth rate of arithmetic performance from 7 till 9 years of age. The current study highlights the importance of non-verbal intelligence and working memory to the development of arithmetic performance of children with CP. Copyright © 2014 Elsevier Ltd. All rights reserved.

  1. Process-based Assignment-Setting Change for Support of Overcoming Bottlenecks in Learning by Problem-Posing in Arithmetic Word Problems

    Science.gov (United States)

    Supianto, A. A.; Hayashi, Y.; Hirashima, T.

    2017-02-01

    Problem-posing is well known as an effective activity to learn problem-solving methods. Monsakun is an interactive problem-posing learning environment to facilitate arithmetic word problems learning for one operation of addition and subtraction. The characteristic of Monsakun is problem-posing as sentence-integration that lets learners make a problem of three sentences. Monsakun provides learners with five or six sentences including dummies, which are designed through careful considerations by an expert teacher as a meaningful distraction to the learners in order to learn the structure of arithmetic word problems. The results of the practical use of Monsakun in elementary schools show that many learners have difficulties in arranging the proper answer at the high level of assignments. The analysis of the problem-posing process of such learners found that their misconception of arithmetic word problems causes impasses in their thinking and mislead them to use dummies. This study proposes a method of changing assignments as a support for overcoming bottlenecks of thinking. In Monsakun, the bottlenecks are often detected as a frequently repeated use of a specific dummy. If such dummy can be detected, it is the key factor to support learners to overcome their difficulty. This paper discusses how to detect the bottlenecks and to realize such support in learning by problem-posing.

  2. Evaluating the efficacy of an integrated motivational interviewing and multi-modal exercise intervention for youth with major depression: Healthy Body, Healthy Mind randomised controlled trial protocol.

    Science.gov (United States)

    Nasstasia, Yasmina; Baker, Amanda L; Halpin, Sean A; Hides, Leanne; Lewin, Terry J; Kelly, Brian J; Callister, Robin

    2018-03-01

    Recent meta-analytic reviews suggest exercise can reduce depression severity among adults with major depressive disorder (MDD); however, efficacy studies with depressed youth are limited. Few studies have investigated the efficacy of multi-modal exercise interventions in this population, addressed treatment engagement, or explored the differential effects of exercise on depressive symptom profiles. This paper describes the study protocol and recruitment pattern for an assessor blinded, two-arm randomised controlled trial investigating the efficacy of an integrated motivational interviewing (MI) and multi-modal exercise intervention in youth diagnosed with MDD. Associations between depressive symptom profiles (cognitive, somatic and affective) and psychological, physiological (fitness), and biological (blood biomarker) outcomes will also be examined. Participants aged 15-25 years with current MDD were recruited. Eligible participants were randomised and stratified according to gender and depression severity to either an immediate or delayed (control) group. The immediate group received a brief MI intervention followed by a 12-week small group exercise intervention (3 times per week for 1 h), all delivered by personal trainers. The delayed control group received the same intervention 12-weeks later. Both groups were reassessed at mid-treatment or mid-control, post-treatment or post-control, and follow-up (12 weeks post-treatment). 68 participants were recruited and randomly allocated to an intervention group. This trial will increase our understanding of the efficacy of multi-modal exercise interventions for depression and the specific effects of exercise on depressive symptom profiles. It also offers a novel contribution by addressing treatment engagement in exercise efficacy trials in youth with MDD.

  3. Processes in arithmetic strategy selection: A fMRI study.

    Directory of Open Access Journals (Sweden)

    Julien eTaillan

    2015-02-01

    Full Text Available This neuroimaging (fMRI study investigated neural correlates of strategy selection. Young adults performed an arithmetic task in two different conditions. In both conditions, participants had to provide estimates of two-digit multiplication problems like 54 x 78. In the choice condition, participants had to select the better of two available rounding strategies, rounding-up strategy (RU (i.e., doing 60x80 = 4,800 or rounding-down strategy (RD (i.e., doing 50x70=3,500 to estimate product of 54x78. In the no-choice condition, participants did not have to select strategy on each problem but were told which strategy to use; they executed RU and RD strategies each on a series of problems. Participants also had a control task (i.e., providing correct products of multiplication problems like 40x50. Brain activations and performance were analyzed as a function of these conditions. Participants were able to frequently choose the better strategy in the choice condition; they were also slower when they executed the difficult RU than the easier RD. Neuroimaging data showed greater brain activations in right anterior cingulate cortex (ACC, dorso-lateral prefrontal cortex (DLPFC, and angular gyrus (ANG, when selecting (relative to executing the better strategy on each problem. Moreover, RU was associated with more parietal cortex activation than RD. These results suggest an important role of fronto-parietal network in strategy selection and have important implications for our further understanding and modelling cognitive processes underlying strategy selection.

  4. Processes in arithmetic strategy selection: a fMRI study.

    Science.gov (United States)

    Taillan, Julien; Ardiale, Eléonore; Anton, Jean-Luc; Nazarian, Bruno; Félician, Olivier; Lemaire, Patrick

    2015-01-01

    This neuroimaging (functional magnetic resonance imaging) study investigated neural correlates of strategy selection. Young adults performed an arithmetic task in two different conditions. In both conditions, participants had to provide estimates of two-digit multiplication problems like 54 × 78. In the choice condition, participants had to select the better of two available rounding strategies, rounding-up (RU) strategy (i.e., doing 60 × 80 = 4,800) or rounding-down (RD) strategy (i.e., doing 50 × 70 = 3,500 to estimate product of 54 × 78). In the no-choice condition, participants did not have to select strategy on each problem but were told which strategy to use; they executed RU and RD strategies each on a series of problems. Participants also had a control task (i.e., providing correct products of multiplication problems like 40 × 50). Brain activations and performance were analyzed as a function of these conditions. Participants were able to frequently choose the better strategy in the choice condition; they were also slower when they executed the difficult RU than the easier RD. Neuroimaging data showed greater brain activations in right anterior cingulate cortex (ACC), dorso-lateral prefrontal cortex (DLPFC), and angular gyrus (ANG), when selecting (relative to executing) the better strategy on each problem. Moreover, RU was associated with more parietal cortex activation than RD. These results suggest an important role of fronto-parietal network in strategy selection and have important implications for our further understanding and modeling cognitive processes underlying strategy selection.

  5. Client Motivation for Therapy Scale: a measure of intrinsic motivation, extrinsic motivation, and amotivation for therapy.

    Science.gov (United States)

    Pelletier, L G; Tuson, K M; Haddad, N K

    1997-04-01

    The purpose of this study was to examine the psychometric properties of a new measure of client motivation for therapy, the Client Motivation for Therapy Scale. This scale is designed to measure client's Intrinsic Motivation, four forms of regulation for Extrinsic Motivation (integrated, identified, introjected, and external regulation), and Amotivation for therapy. These subscales correspond to different forms of motivation identified by Deci and Ryan (1985) and fall along a self-determination continuum. An experimental version of the scale, along with related scales, was distributed to a total sample of 138 clients involved in therapy. The results supported the factor structure of the scale and revealed a satisfactory level of internal consistency. Correlations among the subscales revealed a simplex pattern that, in general, provides support for the self-determination continuum and the construct validity of the scale. Implications for research on client motivation for therapy are discussed.

  6. Integration

    DEFF Research Database (Denmark)

    Emerek, Ruth

    2004-01-01

    Bidraget diskuterer de forskellige intergrationsopfattelse i Danmark - og hvad der kan forstås ved vellykket integration......Bidraget diskuterer de forskellige intergrationsopfattelse i Danmark - og hvad der kan forstås ved vellykket integration...

  7. Distinguishing subtypes of extrinsic motivation among people with mild to borderline intellectual disability

    OpenAIRE

    Frielink, N.; Schuengel, C.; Embregts, P.J.C.M.

    2017-01-01

    Background According to self-determination theory, motivation is ordered in types, including amotivation, extrinsic motivation and intrinsic motivation. Self-determination theory defines four subtypes of extrinsic motivation: external motivation, introjected motivation, identified motivation and integrated motivation. Although it has been argued theoretically that the different types of motivation are universally applicable, Reid et al. (2009) proposed a dichotomy of broad subtypes of extrins...

  8. Transcranial direct current stimulation of the posterior parietal cortex modulates arithmetic learning.

    Science.gov (United States)

    Grabner, Roland H; Rütsche, Bruno; Ruff, Christian C; Hauser, Tobias U

    2015-07-01

    The successful acquisition of arithmetic skills is an essential step in the development of mathematical competencies and has been associated with neural activity in the left posterior parietal cortex (PPC). It is unclear, however, whether this brain region plays a causal role in arithmetic skill acquisition and whether arithmetic learning can be modulated by means of non-invasive brain stimulation of this key region. In the present study we addressed these questions by applying transcranial direct current stimulation (tDCS) over the left PPC during a short-term training that simulates the typical path of arithmetic skill acquisition (specifically the transition from effortful procedural to memory-based problem-solving strategies). Sixty participants received either anodal, cathodal or sham tDCS while practising complex multiplication and subtraction problems. The stability of the stimulation-induced learning effects was assessed in a follow-up test 24 h after the training. Learning progress was modulated by tDCS. Cathodal tDCS (compared with sham) decreased learning rates during training and resulted in poorer performance which lasted over 24 h after stimulation. Anodal tDCS showed an operation-specific improvement for subtraction learning. Our findings extend previous studies by demonstrating that the left PPC is causally involved in arithmetic learning (and not only in arithmetic performance) and that even a short-term tDCS application can modulate the success of arithmetic knowledge acquisition. Moreover, our finding of operation-specific anodal stimulation effects suggests that the enhancing effects of tDCS on learning can selectively affect just one of several cognitive processes mediated by the stimulated area. © 2015 Federation of European Neuroscience Societies and John Wiley & Sons Ltd.

  9. Fractionating the neural correlates of individual working memory components underlying arithmetic problem solving skills in children

    Science.gov (United States)

    Metcalfe, Arron W. S.; Ashkenazi, Sarit; Rosenberg-Lee, Miriam; Menon, Vinod

    2013-01-01

    Baddeley and Hitch’s multi-component working memory (WM) model has played an enduring and influential role in our understanding of cognitive abilities. Very little is known, however, about the neural basis of this multi-component WM model and the differential role each component plays in mediating arithmetic problem solving abilities in children. Here, we investigate the neural basis of the central executive (CE), phonological (PL) and visuo-spatial (VS) components of WM during a demanding mental arithmetic task in 7–9 year old children (N=74). The VS component was the strongest predictor of math ability in children and was associated with increased arithmetic complexity-related responses in left dorsolateral and right ventrolateral prefrontal cortices as well as bilateral intra-parietal sulcus and supramarginal gyrus in posterior parietal cortex. Critically, VS, CE and PL abilities were associated with largely distinct patterns of brain response. Overlap between VS and CE components was observed in left supramarginal gyrus and no overlap was observed between VS and PL components. Our findings point to a central role of visuo-spatial WM during arithmetic problem-solving in young grade-school children and highlight the usefulness of the multi-component Baddeley and Hitch WM model in fractionating the neural correlates of arithmetic problem solving during development. PMID:24212504

  10. Fractionating the neural correlates of individual working memory components underlying arithmetic problem solving skills in children.

    Science.gov (United States)

    Metcalfe, Arron W S; Ashkenazi, Sarit; Rosenberg-Lee, Miriam; Menon, Vinod

    2013-10-01

    Baddeley and Hitch's multi-component working memory (WM) model has played an enduring and influential role in our understanding of cognitive abilities. Very little is known, however, about the neural basis of this multi-component WM model and the differential role each component plays in mediating arithmetic problem solving abilities in children. Here, we investigate the neural basis of the central executive (CE), phonological (PL) and visuo-spatial (VS) components of WM during a demanding mental arithmetic task in 7-9 year old children (N=74). The VS component was the strongest predictor of math ability in children and was associated with increased arithmetic complexity-related responses in left dorsolateral and right ventrolateral prefrontal cortices as well as bilateral intra-parietal sulcus and supramarginal gyrus in posterior parietal cortex. Critically, VS, CE and PL abilities were associated with largely distinct patterns of brain response. Overlap between VS and CE components was observed in left supramarginal gyrus and no overlap was observed between VS and PL components. Our findings point to a central role of visuo-spatial WM during arithmetic problem-solving in young grade-school children and highlight the usefulness of the multi-component Baddeley and Hitch WM model in fractionating the neural correlates of arithmetic problem solving during development. Copyright © 2013 Elsevier Ltd. All rights reserved.

  11. Language-specific memory for everyday arithmetic facts in Chinese-English bilinguals.

    Science.gov (United States)

    Chen, Yalin; Yanke, Jill; Campbell, Jamie I D

    2016-04-01

    The role of language in memory for arithmetic facts remains controversial. Here, we examined transfer of memory training for evidence that bilinguals may acquire language-specific memory stores for everyday arithmetic facts. Chinese-English bilingual adults (n = 32) were trained on different subsets of simple addition and multiplication problems. Each operation was trained in one language or the other. The subsequent test phase included all problems with addition and multiplication alternating across trials in two blocks, one in each language. Averaging over training language, the response time (RT) gains for trained problems relative to untrained problems were greater in the trained language than in the untrained language. Subsequent analysis showed that English training produced larger RT gains for trained problems relative to untrained problems in English at test relative to the untrained Chinese language. In contrast, there was no evidence with Chinese training that problem-specific RT gains differed between Chinese and the untrained English language. We propose that training in Chinese promoted a translation strategy for English arithmetic (particularly multiplication) that produced strong cross-language generalization of practice, whereas training in English strengthened relatively weak, English-language arithmetic memories and produced little generalization to Chinese (i.e., English training did not induce an English translation strategy for Chinese language trials). The results support the existence of language-specific strengthening of memory for everyday arithmetic facts.

  12. Hippocampal spatial mechanisms relate to the development of arithmetic symbol processing in children.

    Science.gov (United States)

    Mathieu, Romain; Epinat-Duclos, Justine; Léone, Jessica; Fayol, Michel; Thevenot, Catherine; Prado, Jérôme

    2017-06-13

    Understanding the meaning of abstract mathematical symbols is a cornerstone of arithmetic learning in children. Studies have long focused on the role of spatial intuitions in the processing of numerals. However, it has been argued that such intuitions may also underlie symbols that convey fundamental arithmetic concepts, such as arithmetic operators. In the present cross-sectional study, we used fMRI to investigate how and when associations between arithmetic operators and brain regions processing spatial information emerge in children from 3 rd to 10 th grade. We found that the mere perception of a '+' sign elicited grade-related increases of spatial activity in the right hippocampus. That is, merely perceiving '+' signs - without any operands - elicited enhanced hippocampal activity after around 7 th grade (12-13 years old). In these children, hippocampal activity in response to a '+' sign was further correlated with the degree to which calculation performance was facilitated by the preview of that sign before an addition problem, an effect termed operator-priming. Grade-related increases of hippocampal spatial activity were operation-specific because they were not observed with '×' signs, which might evoke rote retrieval rather than numerical manipulation. Our study raises the possibility that hippocampal spatial mechanisms help build associations between some arithmetic operators and space throughout age and/or education. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.

  13. A case study of arithmetic facts dyscalculia caused by a hypersensitivity-to-interference in memory.

    Science.gov (United States)

    De Visscher, Alice; Noël, Marie-Pascale

    2013-01-01

    While the heterogeneity of developmental dyscalculia is increasingly recognized, the different profiles have not yet been clearly established. Among the features underpinning types of developmental dyscalculia suggested in the literature, an impairment in arithmetic fact retrieval is particularly prominent. In this paper, we present a case study of an adult woman (DB) with very good cognitive capacities suffering from a specific and developmental arithmetic fact retrieval deficit. We test the main hypotheses about developmental dyscalculia derived from literature. We first explore the influential hypothesis of an approximate number system deficit, through estimation tasks, comparison tasks and a priming comparison task. Secondly, we evaluate whether DB's mathematical deficiencies are caused by a rote verbal memory deficit, using tasks involving completion of expressions, and reciting automatic series such as the alphabet and the months of the year. Alternatively, taking into account the extreme similarity of the arithmetic facts, we propose that a heightened sensitivity to interference could have prevented DB from memorizing the arithmetic facts. The pattern of DB's results on different tasks supports this hypothesis. Our findings identify a new etiology of a specific impairment of arithmetic facts storage, namely a hypersensitivity-to-interference. Copyright © 2012 Elsevier Ltd. All rights reserved.

  14. [Integrity].

    Science.gov (United States)

    Gómez Rodríguez, Rafael Ángel

    2014-01-01

    To say that someone possesses integrity is to claim that that person is almost predictable about responses to specific situations, that he or she can prudentially judge and to act correctly. There is a closed interrelationship between integrity and autonomy, and the autonomy rests on the deeper moral claim of all humans to integrity of the person. Integrity has two senses of significance for medical ethic: one sense refers to the integrity of the person in the bodily, psychosocial and intellectual elements; and in the second sense, the integrity is the virtue. Another facet of integrity of the person is la integrity of values we cherish and espouse. The physician must be a person of integrity if the integrity of the patient is to be safeguarded. The autonomy has reduced the violations in the past, but the character and virtues of the physician are the ultimate safeguard of autonomy of patient. A field very important in medicine is the scientific research. It is the character of the investigator that determines the moral quality of research. The problem arises when legitimate self-interests are replaced by selfish, particularly when human subjects are involved. The final safeguard of moral quality of research is the character and conscience of the investigator. Teaching must be relevant in the scientific field, but the most effective way to teach virtue ethics is through the example of the a respected scientist.

  15. Cross-cultural investigation into cognitive underpinnings of individual differences in early arithmetic.

    Science.gov (United States)

    Rodic, Maja; Zhou, Xinlin; Tikhomirova, Tatiana; Wei, Wei; Malykh, Sergei; Ismatulina, Victoria; Sabirova, Elena; Davidova, Yulia; Tosto, Maria Grazia; Lemelin, Jean-Pascal; Kovas, Yulia

    2015-01-01

    The present study evaluated 626 5-7-year-old children in the UK, China, Russia, and Kyrgyzstan on a cognitive test battery measuring: (1) general skills; (2) non-symbolic number sense; (3) symbolic number understanding; (4) simple arithmetic - operating with numbers; and (5) familiarity with numbers. Although most inter-population differences were small, 13% of the variance in arithmetic skills could be explained by the sample, replicating the pattern, previously found with older children in PISA. Furthermore, the same cognitive skills were related to early arithmetic in these diverse populations. Only understanding of symbolic number explained variation in mathematical performance in all samples. We discuss the results in terms of potential influences of socio-demographic, linguistic and genetic factors on individual differences in mathematics. © 2014 John Wiley & Sons Ltd.

  16. The association between arithmetic and reading performance in school: A meta-analytic study.

    Science.gov (United States)

    Singer, Vivian; Strasser, Kathernie

    2017-12-01

    Many studies of school achievement find a significant association between reading and arithmetic achievement. The magnitude of the association varies widely across the studies, but the sources of this variation have not been identified. The purpose of this paper is to examine the magnitude and determinants of the relation between arithmetic and reading performance during elementary and middle school years. We meta-analyzed 210 correlations between math and reading measures, coming from 68 independent samples (the overall sample size was 58923 participants). The meta-analysis yielded an average correlation of 0.55 between math and reading measures. Among the moderators tested, only transparency of orthography and use of timed or untimed tests were significant in explaining the size of the correlation, with the largest correlations observed between timed measures of arithmetic and reading and between math and reading in opaque orthographies. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

  17. Retrieval or nonretrieval strategies in mental arithmetic? An operand recognition paradigm.

    Science.gov (United States)

    Thevenot, Catherine; Fanget, Muriel; Fayol, Michel

    2007-09-01

    According to LeFevre, Sadesky, and Bisanz, averaging solution latencies in order to study individuals' arithmetic strategies can result in misleading conclusions. Therefore, in addition to classical chronometric data, they collected verbal reports and challenged the assumption that adults rely systematically on retrieval of arithmetic facts from memory to solve simple addition problems. However, Kirk and Ashcraft questioned the validity of such a methodology and concluded that a more appropriate method has to be found. Thus, we developed an operand recognition paradigm that does not rely on verbal reports or on solution latencies. In accordance with LeFevre et al., we show in a first experiment that adults resort to nonretrieval strategies to solve addition problems involving medium numbers. However, in a second experiment, we show that high-skilled individuals can solve the same problems using a retrieval strategy. The benefits of our paradigm to the study of arithmetic strategies are discussed.

  18. Tower of London test performance in children with poor arithmetic skills.

    Science.gov (United States)

    Sikora, M Darryn; Haley, Pat; Edwards, Jay; Butler, Robert W

    2002-01-01

    The Tower of London (TOL) has been used to assess executive functions in both children and adults with documented brain dysfunction. Like many other measures of executive function, it has not been widely used in the assessment of learning disabilities in children. However, if performance on the TOL discriminated among groups of children with different academic strengths and weaknesses, then it may be useful in identifying learning disability subtypes. The purpose of this study was to determine whether performance on the TOL would differ among 3 groups of children: those with arithmetic difficulties, those with reading difficulties, and those with no academic difficulties. The group with arithmetic difficulties exhibited significantly greater impairment on the TOL than either the group with reading difficulties or the group with no difficulties. The latter 2 groups performed similarly. The clinical utility of the TOL, as well as the relation between arithmetic deficits and executive functions, are discussed.

  19. Language, arithmetic word problems, and deaf students: Linguistic strategies used to solve tasks

    Science.gov (United States)

    Zevenbergen, Robyn; Hyde, Merv; Power, Des

    2001-12-01

    There has been limited examination of the intersection between language and arithmetic in the performance of deaf students, although some previous research has shown that deaf and hearing-impaired1 students are delayed in both their language acquisition and arithmetic performance. This paper examines the performance of deaf and hearing-impaired students in South-East Queensland, Australia, in solving arithmetic word problems. It was found that the subjects' solutions of word problems confirmed trends for hearing students, but that their performance was delayed in comparison. The results confirm other studies where deaf and hearing-impaired students are delayed in their language acquisition and this impacts on their capacity to successfully undertake the resolution of word problems.

  20. Ultrafast all-optical arithmetic logic based on hydrogenated amorphous silicon microring resonators

    Science.gov (United States)

    Gostimirovic, Dusan; Ye, Winnie N.

    2016-03-01

    For decades, the semiconductor industry has been steadily shrinking transistor sizes to fit more performance into a single silicon-based integrated chip. This technology has become the driving force for advances in education, transportation, and health, among others. However, transistor sizes are quickly approaching their physical limits (channel lengths are now only a few silicon atoms in length), and Moore's law will likely soon be brought to a stand-still despite many unique attempts to keep it going (FinFETs, high-k dielectrics, etc.). This technology must then be pushed further by exploring (almost) entirely new methodologies. Given the explosive growth of optical-based long-haul telecommunications, we look to apply the use of high-speed optics as a substitute to the digital model; where slow, lossy, and noisy metal interconnections act as a major bottleneck to performance. We combine the (nonlinear) optical Kerr effect with a single add-drop microring resonator to perform the fundamental AND-XOR logical operations of a half adder, by all-optical means. This process is also applied to subtraction, higher-order addition, and the realization of an all-optical arithmetic logic unit (ALU). The rings use hydrogenated amorphous silicon as a material with superior nonlinear properties to crystalline silicon, while still maintaining CMOS-compatibility and the many benefits that come with it (low cost, ease of fabrication, etc.). Our method allows for multi-gigabit-per-second data rates while maintaining simplicity and spatial minimalism in design for high-capacity manufacturing potential.

  1. Handbook of motivation at school

    CERN Document Server

    Miele, David B

    2016-01-01

    The second edition of the Handbook of Motivation at School presents an integrated compilation of theory and research in the field. With chapters by leading experts, this book covers the major theoretical perspectives in the field as well as their application to instruction, learning, and social adjustment at school. Section I focuses on theoretical perspectives and major constructs, Section II on contextual and social influences on motivation, and Section III on new directions in the field.

  2. Processing the Order of Symbolic Numbers: A Reliable and Unique Predictor of Arithmetic Fluency

    Directory of Open Access Journals (Sweden)

    Stephan E. Vogel

    2017-12-01

    Full Text Available A small but growing body of evidence suggests a link between individual differences in processing the order of numerical symbols (e.g., deciding whether a set of digits is arranged in ascending/descending order or not and arithmetic achievement. However, the reliability of behavioral correlates measuring symbolic and non-symbolic numerical order processing and their relationship to arithmetic abilities remain poorly understood. The present study aims to fill this knowledge gap by examining the behavioral correlates of numerical and non-numerical order processing and their unique associations with arithmetic fluency at two different time points within the same sample of individuals. Thirty-two right-handed adults performed three order judgment tasks consisting of symbolic numbers (i.e., digits, non-symbolic numbers (i.e., dots, and letters of the alphabet. Specifically, participants had to judge as accurately and as quickly as possible whether stimuli were ordered correctly (in ascending/descending order, e.g., 2-3-4; ●●●●-●●●-●●; B-C-D or not (e.g., 4-5-3; ●●●●-●●●●●-●●●; D-E-C. Results of this study demonstrate that numerical order judgments are reliable measurements (i.e., high test-retest reliability, and that the observed relationship between symbolic number processing and arithmetic fluency accounts for a unique and reliable portion of variance over and above the non-symbolic number and the letter conditions. The differential association of symbolic and non-symbolic numbers with arithmetic support the view that processing the order of symbolic and non-symbolic numbers engages different cognitive mechanisms, and that the ability to process ordinal relationships of symbolic numbers is a reliable and unique predictor of arithmetic fluency.

  3. The relation between language and arithmetic in bilinguals: insights from different stages of language acquisition

    Directory of Open Access Journals (Sweden)

    Amandine eVan Rinsveld

    2015-03-01

    Full Text Available Solving arithmetic problems is a cognitive task that heavily relies on language processing. One might thus wonder whether this language-reliance leads to qualitative differences (e.g. greater difficulties, error types, etc. in arithmetic for bilingual individuals who frequently have to solve arithmetic problems in more than one language. The present study investigated how proficiency in two languages interacts with arithmetic problem solving throughout language acquisition in adolescents and young adults. Additionally, we examined whether the number word structure that is specific to a given language plays a role in number processing over and above bilingual proficiency. We addressed these issues in a German-French educational bilingual setting, where there is a progressive transition from German to French as teaching language. Importantly, German and French number naming structures differ clearly, as two-digit number names follow a unit-ten order in German, but a ten-unit order in French. We implemented a transversal developmental design in which bilingual pupils from grades 7, 8, 10, 11, and young adults were asked to solve simple and complex additions in both languages. The results confirmed that language proficiency is crucial especially for complex addition computation. Simple additions in contrast can be retrieved equally well in both languages after extended language practice. Additional analyses revealed that over and above language proficiency, language-specific number word structures (e.g. unit-ten vs. ten-unit also induced significant modulations of bilinguals’ arithmetic performances. Taken together, these findings support the view of a strong relation between language and arithmetic in bilinguals.

  4. An arithmetic transference proof of a relative Szemer\\'edi theorem

    OpenAIRE

    Zhao, Yufei

    2013-01-01

    Recently Conlon, Fox, and the author gave a new proof of a relative Szemer\\'edi theorem, which was the main novel ingredient in the proof of the celebrated Green-Tao theorem that the primes contain arbitrarily long arithmetic progressions. Roughly speaking, a relative Szemer\\'edi theorem says that if S is a set of integers satisfying certain conditions, and A is a subset of S with positive relative density, then A contains long arithmetic progressions, and our recent results show that S only ...

  5. One-step trinary signed-digit arithmetic using an efficient encoding scheme

    Science.gov (United States)

    Salim, W. Y.; Fyath, R. S.; Ali, S. A.; Alam, Mohammad S.

    2000-11-01

    The trinary signed-digit (TSD) number system is of interest for ultra fast optoelectronic computing systems since it permits parallel carry-free addition and borrow-free subtraction of two arbitrary length numbers in constant time. In this paper, a simple coding scheme is proposed to encode the decimal number directly into the TSD form. The coding scheme enables one to perform parallel one-step TSD arithmetic operation. The proposed coding scheme uses only a 5-combination coding table instead of the 625-combination table reported recently for recoded TSD arithmetic technique.

  6. Competing Biases in Mental Arithmetic: When Division Is More and Multiplication Is Less.

    Science.gov (United States)

    Shaki, Samuel; Fischer, Martin H

    2017-01-01

    Mental arithmetic exhibits various biases. Among those is a tendency to overestimate addition and to underestimate subtraction outcomes. Does such "operational momentum" (OM) also affect multiplication and division? Twenty-six adults produced lines whose lengths corresponded to the correct outcomes of multiplication and division problems shown in symbolic format. We found a reliable tendency to over-estimate division outcomes, i.e., reverse OM. We suggest that anchoring on the first operand (a tendency to use this number as a reference for further quantitative reasoning) contributes to cognitive biases in mental arithmetic.

  7. Comparing and Transforming: An Application of Piaget's Morphisms Theory to the Development of Class Inclusion and Arithmetic Problem Solving.

    Science.gov (United States)

    Barrouillet, Pierre; Poirier, Louise

    1997-01-01

    Outlines Piaget's late ideas on categories and morphisms and the impact of these ideas on the comprehension of the inclusion relationship and the solution of arithmetic problems. Reports a study in which fourth through sixth graders were given arithmetic problems involving two known quantities associated with changes rather than states. Identified…

  8. [Girls are more successful than boys at the university. Gender group differences in models integrating motivational and aggressive components correlated with Test-Anxiety].

    Science.gov (United States)

    Masson, A-M; Hoyois, Ph; Cadot, M; Nahama, V; Petit, F; Ansseau, M

    2004-01-01

    It is surprising to note the evolution of success rates in Belgian universities especially in the first Year. Men are less successful than women and the differences are escalating in an alarming way. Dropouts take the same direction and women now represent a majority of the students at the university. In a previous study, we assessed 616 students in the first Year at the university of Liège with Vasev, the English name of which was TASTE, a self report questionnaire constituted of 4 factors: anxiety, self confidence, procrastination and performance value; anxiety particularly concerned somatic expression of students before and during test evaluations; self confidence was a cognitive component close to self efficacy; procrastination was the behavioral component characterizing avoidance when students are confronted with the risk of failure; performance value referred to intrinsic and extrinsic motivations. French validation of TASTE led to an abbreviated version of 50 items (THEE) consisting of 5 factors, the four of TASTE and an additional one, very consistent, at first called depression because of its correlations with this dimension, then called sense of competence on account of its semantic content. Self-competence has been described in the literature of Achievement Motivation and corresponded to expectancy and ability beliefs in performance process which was also relevant to self-efficacy except the particularity of comparison with others, which was not included in the last construct. Self-competence has been considered as an important part of the Worry component of test anxiety. Some Authors didn't hesitate to view causality flowing from self-competence to test anxiety and have conceptualized the latter as a failure of the self where one's sense of competence has been undermined as a result of experienced failure. In our study, only that factor was equally scored in women and men whereas it was scored higher in failed students. In other respects anxiety and

  9. An integrated motivational interviewing and cognitive-behavioural intervention promoting physical activity maintenance for adults with chronic health conditions: A feasibility study.

    Science.gov (United States)

    Scott, Sarah E; Breckon, Jeff D; Copeland, Robert J

    2018-01-01

    Objectives Physical activity is recommended for managing chronic health conditions but is rarely maintained. This feasibility study aimed to evaluate the preliminary efficacy of a motivational interviewing and cognitive-behavioural intervention for long-term physical activity for adults with chronic health conditions. Methods Participants ( N = 37) with stable conditions (e.g. diabetes) were randomized into a three-month motivational interviewing and cognitive-behavioural group ( N = 20) or usual care ( N = 17) after completing a physical activity referral scheme. Participants completed physical activity (e.g. average steps per day and kilocalorie expenditure), psychological (e.g. self-efficacy) and epidemiological (e.g. body mass index) standardized measures at baseline, three- and six-month follow-up. Treatment fidelity and feasibility were assessed. Results Thirty-five participants completed the study (96% retention). The motivational interviewing and cognitive-behavioural group maintained kilocalorie expenditure at three ( p = 0.009) and six months ( p = 0.009). Exercise barrier self-efficacy ( p = 0.03), physical ( p = 0.02) and psychological ( p = 0.01) physical activity experiences were increased at three months only. No difference was found for average steps/day, social support, coping skills and epidemiological factors. Discussion This is the first study to demonstrate the feasibility and preliminary efficacy of motivational interviewing and cognitive-behavioural interventions for promoting physical activity maintenance in a clinical population. A large-scale trial with a longer follow-up (≥6 months) is warranted with treatment fidelity assessment.

  10. Using text adventure games to entice learners to practice arithmetic skills over Mxit

    CSIR Research Space (South Africa)

    Butgereit, L

    2009-01-01

    Full Text Available examines a project where text adventure games with a mathematical twist are deployed over Mxit which participants can play on their cell phones. In order to complete the puzzles laid out in the game, participants must do various arithmetic calculations....

  11. Assessing Adult Learner's Numeracy as Related to Gender and Performance in Arithmetic

    Science.gov (United States)

    Awofala, Adeneye O. A.; Anyikwa, Blessing E.

    2014-01-01

    The study investigated adult learner numeracy as related to gender and performance in arithmetic among 32 Nigerian adult learners from one government accredited adult literacy centre in Lagos State using the quantitative research method within the blueprint of descriptive survey design. Data collected were analysed using the descriptive statistics…

  12. Hard Lessons: Why Rational Number Arithmetic Is so Difficult for so Many People

    Science.gov (United States)

    Siegler, Robert S.; Lortie-Forgues, Hugues

    2017-01-01

    Fraction and decimal arithmetic pose large difficulties for many children and adults. This is a serious problem, because proficiency with these skills is crucial for learning more advanced mathematics and science and for success in many occupations. This review identifies two main classes of difficulties that underlie poor understanding of…

  13. Arithmetic difficulties in children with cerebral palsy are related to executive function and working memory

    NARCIS (Netherlands)

    Jenks, K.M.; van Lieshout, E.C.D.M.; de Moor, J.

    2009-01-01

    Arithmetic ability was tested in children with cerebral palsy without severe intellectual impairment (verbal IQ ≥ 70) attending special (n = 41) or mainstream education (n = 16) as well as control children in mainstream education (n = 16) throughout first and second grade. Children with cerebral

  14. The relationship between medical impairments and arithmetic development in children with cerebral palsy.

    NARCIS (Netherlands)

    Jenks, K.M.; Lieshout, E.C. van; Moor, J.M.H. de

    2009-01-01

    Arithmetic ability was tested in children with cerebral palsy without severe intellectual impairment (verbal IQ >or= 70) attending special (n = 41) or mainstream education (n = 16) as well as control children in mainstream education (n = 16) throughout first and second grade. Children with cerebral

  15. Instrument for bone mineral measurement using a microprocessor as the control and arithmetic element

    International Nuclear Information System (INIS)

    Alberi, J.L.; Hardy, W.H. II.

    1975-11-01

    A self-contained instrument for the determination of bone mineral content by photon absorptometry is described. A high-resolution detection system allows measurements to be made at up to 16 photon energies. Control and arithmetic functions are performed by a microprocessor. Analysis capability and limitations are discussed

  16. Executive Functioning in Children, and Its Relations with Reasoning, Reading, and Arithmetic

    Science.gov (United States)

    van der Sluis, Sophie; de Jong, Peter F.; van der Leij, Aryan

    2007-01-01

    The aims of this study were to investigate whether the executive functions, inhibition, shifting, and updating, are distinguishable as latent variables (common factors) in children aged 9 to 12, and to examine the relations between these executive functions and reading, arithmetic, and (non)verbal reasoning. Confirmatory factor analysis was used…

  17. The Arithmetical Machine Zero + 1 in Mathematics Laboratory: Instrumental Genesis and Semiotic Mediation

    Science.gov (United States)

    Maschietto, Michela

    2015-01-01

    This paper presents the analysis of two teaching experiments carried out in the context of the mathematics laboratory in a primary school (grades 3 and 4) with the use of the pascaline Zero + 1, an arithmetical machine. The teaching experiments are analysed by coordinating two theoretical frameworks, i.e. the instrumental approach and the Theory…

  18. Numeral words and arithmetic operations in the Alor-Pantar languages

    NARCIS (Netherlands)

    Schapper, Antoinette; Holton, Gary; Klamer, Marian; Kratochvíl, František; Robinson, Laura; Klamer, Marian

    2014-01-01

    The indigenous numerals of the AP languages, as well as the indigenous structures for arithmetic operations are currently under pressure from Indonesian, and will inevitably be replaced with Indonesian forms and structures. This chapter presents a documentary record of the forms and patterns

  19. Naming Speed and Effortful and Automatic Inhibition in Children with Arithmetic Learning Disabilities

    Science.gov (United States)

    D'Amico, Antonella; Passolunghi, Maria Chiara

    2009-01-01

    We report a two-year longitudinal study aimed at investigating the rate of access to numerical and non-numerical information in long-term memory and the functioning of automatic and effortful cognitive inhibition processes in children with arithmetical learning disabilities (ALDs). Twelve children with ALDs, of age 9.3 years, and twelve…

  20. Learning Arithmetic Outdoors in Junior High School--Influence on Performance and Self-Regulating Skills

    Science.gov (United States)

    Fägerstam, Emilia; Samuelsson, Joakim

    2014-01-01

    This study aims to explore the influence of outdoor teaching among students, aged 13, on arithmetic performance and self-regulation skills as previous research concerning outdoor mathematics learning is limited. This study had a quasi-experimental design. An outdoor and a traditional group answered a test and a self-regulation skills questionnaire…

  1. Automatically Proving Termination and Memory Safety for Programs with Pointer Arithmetic

    DEFF Research Database (Denmark)

    Ströder, Thomas; Giesl, Jürgen; Brockschmidt, Marc

    2017-01-01

    While automated verification of imperative programs has been studied intensively, proving termination of programs with explicit pointer arithmetic fully automatically was still an open problem. To close this gap, we introduce a novel abstract domain that can track allocated memory in detail. We use...

  2. Classified one-step high-radix signed-digit arithmetic units

    Science.gov (United States)

    Cherri, Abdallah K.

    1998-08-01

    High-radix number systems enable higher information storage density, less complexity, fewer system components, and fewer cascaded gates and operations. A simple one-step fully parallel high-radix signed-digit arithmetic is proposed for parallel optical computing based on new joint spatial encodings. This reduces hardware requirements and improves throughput by reducing the space-bandwidth produce needed. The high-radix signed-digit arithmetic operations are based on classifying the neighboring input digit pairs into various groups to reduce the computation rules. A new joint spatial encoding technique is developed to present both the operands and the computation rules. This technique increases the spatial bandwidth product of the spatial light modulators of the system. An optical implementation of the proposed high-radix signed-digit arithmetic operations is also presented. It is shown that our one-step trinary signed-digit and quaternary signed-digit arithmetic units are much simpler and better than all previously reported high-radix signed-digit techniques.

  3. Efficient Solving of Large Non-linear Arithmetic Constraint Systems with Complex Boolean Structure

    Czech Academy of Sciences Publication Activity Database

    Fränzle, M.; Herde, C.; Teige, T.; Ratschan, Stefan; Schubert, T.

    2007-01-01

    Roč. 1, - (2007), s. 209-236 ISSN 1574-0617 Grant - others:AVACS(DE) SFB/TR 14 Institutional research plan: CEZ:AV0Z10300504 Keywords : interval-based arithmetic constraint solving * SAT modulo theories Subject RIV: BA - General Mathematics

  4. Do Birth Order, Family Size and Gender Affect Arithmetic Achievement in Elementary School?

    Science.gov (United States)

    Desoete, Annemie

    2008-01-01

    Introduction: For decades birth order and gender differences have attracted research attention. Method: Birth order, family size and gender, and the relationship with arithmetic achievement is studied among 1152 elementary school children (540 girls, 612 boys) in Flanders. Children were matched on socioeconomic status of the parents and…

  5. Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints

    NARCIS (Netherlands)

    Asheim, G.B.; Buchholz, W.; Hartwick, J.M.; Mitra, T.; Withagen, C.A.A.M.

    2007-01-01

    In the Dasgupta–Heal–Solow–Stiglitz (DHSS) model of capital accumulation and resource depletion we show the following equivalence: if an efficient path has constant (gross and net of population growth) savings rates, then population growth must be quasi-arithmetic and the path is a maximin or a

  6. Using the Binomial Series to Prove the Arithmetic Mean-Geometric Mean Inequality

    Science.gov (United States)

    Persky, Ronald L.

    2003-01-01

    In 1968, Leon Gerber compared (1 + x)[superscript a] to its kth partial sum as a binomial series. His result is stated and, as an application of this result, a proof of the arithmetic mean-geometric mean inequality is presented.

  7. Weak Arithmetic Completeness of Object-Oriented First-Order Assertion Networks

    NARCIS (Netherlands)

    C.P.T. de Gouw (Stijn); F.S. de Boer (Frank); W. Ahrendt (Wolfgang); R. Bubel (Richard); P. van Emde Boas; F.C.A. Groen; G.F. Italiano; J.R. Nawrocki; H. Sack

    2013-01-01

    htmlabstractWe present a completeness proof of the inductive assertion method for object-oriented programs extended with auxiliary variables. The class of programs considered are assumed to compute over structures which include the standard interpretation of Presburger arithmetic. Further, the

  8. A Teachable Agent Game Engaging Primary School Children to Learn Arithmetic Concepts and Reasoning

    Science.gov (United States)

    Pareto, Lena

    2014-01-01

    In this paper we will describe a learning environment designed to foster conceptual understanding and reasoning in mathematics among younger school children. The learning environment consists of 48 2-player game variants based on a graphical model of arithmetic where the mathematical content is intrinsically interwoven with the game idea. The…

  9. The Cognitive Foundations of Reading and Arithmetic Skills in 7- to 10-Year-Olds

    Science.gov (United States)

    Durand, Marianne; Hulme, Charles; Larkin, Rebecca; Snowling, Margaret

    2005-01-01

    A range of possible predictors of arithmetic and reading were assessed in a large sample (N=162) of children between ages 7 years 5 months and 10 years 4 months. A confirmatory factor analysis of the predictors revealed a good fit to a model consisting of four latent variables (verbal ability, nonverbal ability, search speed, and phonological…

  10. Identifying Strategies in Arithmetic with the Operand Recognition Paradigm: A Matter of Switch Cost?

    Science.gov (United States)

    Thevenot, Catherine; Castel, Caroline; Danjon, Juliette; Fayol, Michel

    2015-01-01

    Determining adults' and children's strategies in mental arithmetic constitutes a central issue in the domain of numerical cognition. However, despite the considerable amount of research on this topic, the conclusions in the literature are not always coherent. Therefore, there is a need to carry on the investigation, and this is the reason why we…

  11. Alternative proposal of arithmetic and image operations in optical parallel computation

    Science.gov (United States)

    Ghosh, Partha; Das, Partha P.; Mukhopadhay, Sourangshu

    2001-10-01

    Here, we refer our new proposal of applying multi-valued logic (particularly tristate logic) to develop logic gates and systems for arithmetic operation. Space-variant approach is used here to implement the functioning. Also triple input image detection is done here.

  12. Positive and Negative Consequences in Contingency Contracts: Their Relative Effectiveness on Arithmetic Performance.

    Science.gov (United States)

    Kidd, Teresa A.; Saudargas, Richard A.

    1988-01-01

    The study with two elementary students who had low levels of completion and accuracy on daily arithmetic assignments found that a negative consequence was not necessary and that use of a positive component alone was sufficient to maintain high levels of completion and accuracy. (Author/DB)

  13. Optoelectronic switch matrix as a look-up table for residue arithmetic.

    Science.gov (United States)

    Macdonald, R I

    1987-10-01

    The use of optoelectronic matrix switches to perform look-up table functions in residue arithmetic processors is proposed. In this application, switchable detector arrays give the advantage of a greatly reduced requirement for optical sources by comparison with previous optoelectronic residue processors.

  14. Enhancing Arithmetic and Word-Problem Solving Skills Efficiently by Individualized Computer-Assisted Practice

    Science.gov (United States)

    Schoppek, Wolfgang; Tulis, Maria

    2010-01-01

    The fluency of basic arithmetical operations is a precondition for mathematical problem solving. However, the training of skills plays a minor role in contemporary mathematics instruction. The authors proposed individualization of practice as a means to improve its efficiency, so that the time spent with the training of skills is minimized. As a…

  15. Solution Strategies and Achievement in Dutch Complex Arithmetic: Latent Variable Modeling of Change

    Science.gov (United States)

    Hickendorff, Marian; Heiser, Willem J.; van Putten, Cornelis M.; Verhelst, Norman D.

    2009-01-01

    In the Netherlands, national assessments at the end of primary school (Grade 6) show a decline of achievement on problems of complex or written arithmetic over the last two decades. The present study aims at contributing to an explanation of the large achievement decrease on complex division, by investigating the strategies students used in…

  16. A practical approach to model checking Duration Calculus using Presburger Arithmetic

    DEFF Research Database (Denmark)

    Hansen, Michael Reichhardt; Dung, Phan Anh; Brekling, Aske Wiid

    2014-01-01

    This paper investigates the feasibility of reducing a model-checking problem K ⊧ ϕ for discrete time Duration Calculus to the decision problem for Presburger Arithmetic. Theoretical results point at severe limitations of this approach: (1) the reduction in Fränzle and Hansen (Int J Softw Inform 3...... limits of the approach are illustrated by a family of examples....

  17. When is working memory important for arithmetic? The impact of strategy and age.

    Science.gov (United States)

    Cragg, Lucy; Richardson, Sophie; Hubber, Paula J; Keeble, Sarah; Gilmore, Camilla

    2017-01-01

    Our ability to perform arithmetic relies heavily on working memory, the manipulation and maintenance of information in mind. Previous research has found that in adults, procedural strategies, particularly counting, rely on working memory to a greater extent than retrieval strategies. During childhood there are changes in the types of strategies employed, as well as an increase in the accuracy and efficiency of strategy execution. As such it seems likely that the role of working memory in arithmetic may also change, however children and adults have never been directly compared. This study used traditional dual-task methodology, with the addition of a control load condition, to investigate the extent to which working memory requirements for different arithmetic strategies change with age between 9-11 years, 12-14 years and young adulthood. We showed that both children and adults employ working memory when solving arithmetic problems, no matter what strategy they choose. This study highlights the importance of considering working memory in understanding the difficulties that some children and adults have with mathematics, as well as the need to include working memory in theoretical models of mathematical cognition.

  18. Arithmetic Facts Storage Deficit: The Hypersensitivity-to-Interference in Memory Hypothesis

    Science.gov (United States)

    De Visscher, Alice; Noël, Marie-Pascale

    2014-01-01

    Dyscalculia, or mathematics learning disorders, is currently known to be heterogeneous (Wilson & Dehaene, 2007). While various profiles of dyscalculia coexist, a general and persistent hallmark of this math learning disability is the difficulty in memorizing arithmetic facts (Geary, Hoard & Hamson, 1999; Jordan & Montani, 1997; Slade…

  19. Realization of two-dimensional transformations by the arithmetical module of an intelligent graphics terminal

    International Nuclear Information System (INIS)

    Leich, A.; Polyntsev, A.D.

    1982-01-01

    The structure and software of the arithmetical module for the multi-microprocessor intelligent graphics terminal designed for realization of the world coordinate two-dimensional transformation are described. The module performs the operations like coordinate system displacement, scaling and rotation as well as transformations for window/viewport separation

  20. Fermat’s ‘primitive solutions’ and some arithmetic of elliptic curves

    NARCIS (Netherlands)

    Top, Jaap

    1993-01-01

    In his work on Diophantine equations of the form y2=ax4+bx3+cx2+dx+e, Fermat introduced the notion of primitive solutions. In this expository note we intend to interpret this notion more geometrically, and explain what it means in terms of the arithmetic of elliptic curves. The specific equation

  1. Development of Working Memory and Performance in Arithmetic: A Longitudinal Study with Children

    Science.gov (United States)

    López, Magdalena

    2014-01-01

    Introduction: This study has aimed to investigate the relationship between the development of working memory and performance on arithmetic activities. Method: We conducted a 3-year longitudinal study of a sample of 90 children, that was followed during the first, second and third year of primary school. All children were tested on measures of WM…

  2. Geometry and arithmetic of factorized S-matrices

    International Nuclear Information System (INIS)

    Freund, P.G.O.

    1995-01-01

    In realistic four-dimensional quantum field theories integrability is elusive. Relativity, when combined with quantum theory does not permit an infinity of local conservation laws except for free fields, for which the S-matrix is trivial S = 1. In two space-time dimensions, where forward and backward scattering are the only possibilities, nontrivial S-matrices are possible even in integrable theories. Such S-matrices are known to factorize [1]. This means that there is no particle production, so that the 4-point amplitudes determine all higher n-point amplitudes. In our recent work [2, 3, 4, 5, 6] we found that in such integrable two-dimensional theories, even the input 4-point amplitudes are determined by a simple principle. Roughly speaking these amplitudes describe the S-wave scattering which one associates with free motion on certain quantum-symmetric spaces. The trivial S-matrix of free field theory describes the absence of scattering which one associates with free motion on a euclidean space, itself a symmetric space. As is well known [7, 8, 9], for curved symmetric spaces the S-matrices for S-wave scattering are no longer trivial, but rather they are determined by the Harish-Chandra c-functions of these spaces [10]. The quantum deformation of this situation is what appears when one considers excitation scattering in two-dimensional integrable models. (orig.)

  3. Students creative thinking skills in solving two dimensional arithmetic series through research-based learning

    Science.gov (United States)

    Tohir, M.; Abidin, Z.; Dafik; Hobri

    2018-04-01

    Arithmetics is one of the topics in Mathematics, which deals with logic and detailed process upon generalizing formula. Creativity and flexibility are needed in generalizing formula of arithmetics series. This research aimed at analyzing students creative thinking skills in generalizing arithmetic series. The triangulation method and research-based learning was used in this research. The subjects were students of the Master Program of Mathematics Education in Faculty of Teacher Training and Education at Jember University. The data was collected by giving assignments to the students. The data collection was done by giving open problem-solving task and documentation study to the students to arrange generalization pattern based on the dependent function formula i and the function depend on i and j. Then, the students finished the next problem-solving task to construct arithmetic generalization patterns based on the function formula which depends on i and i + n and the sum formula of functions dependent on i and j of the arithmetic compiled. The data analysis techniques operative in this study was Miles and Huberman analysis model. Based on the result of data analysis on task 1, the levels of students creative thinking skill were classified as follows; 22,22% of the students categorized as “not creative” 38.89% of the students categorized as “less creative” category; 22.22% of the students categorized as “sufficiently creative” and 16.67% of the students categorized as “creative”. By contrast, the results of data analysis on task 2 found that the levels of students creative thinking skills were classified as follows; 22.22% of the students categorized as “sufficiently creative”, 44.44% of the students categorized as “creative” and 33.33% of the students categorized as “very creative”. This analysis result can set the basis for teaching references and actualizing a better teaching model in order to increase students creative thinking skills.

  4. Floating-point geometry: toward guaranteed geometric computations with approximate arithmetics

    Science.gov (United States)

    Bajard, Jean-Claude; Langlois, Philippe; Michelucci, Dominique; Morin, Géraldine; Revol, Nathalie

    2008-08-01

    Geometric computations can fail because of inconsistencies due to floating-point inaccuracy. For instance, the computed intersection point between two curves does not lie on the curves: it is unavoidable when the intersection point coordinates are non rational, and thus not representable using floating-point arithmetic. A popular heuristic approach tests equalities and nullities up to a tolerance ɛ. But transitivity of equality is lost: we can have A approx B and B approx C, but A not approx C (where A approx B means ||A - B|| < ɛ for A,B two floating-point values). Interval arithmetic is another, self-validated, alternative; the difficulty is to limit the swell of the width of intervals with computations. Unfortunately interval arithmetic cannot decide equality nor nullity, even in cases where it is decidable by other means. A new approach, developed in this paper, consists in modifying the geometric problems and algorithms, to account for the undecidability of the equality test and unavoidable inaccuracy. In particular, all curves come with a non-zero thickness, so two curves (generically) cut in a region with non-zero area, an inner and outer representation of which is computable. This last approach no more assumes that an equality or nullity test is available. The question which arises is: which geometric problems can still be solved with this last approach, and which cannot? This paper begins with the description of some cases where every known arithmetic fails in practice. Then, for each arithmetic, some properties of the problems they can solve are given. We end this work by proposing the bases of a new approach which aims to fulfill the geometric computations requirements.

  5. The motivation to care: application and extension of motivation theory to professional nursing work.

    Science.gov (United States)

    Moody, Roseanne C; Pesut, Daniel J

    2006-01-01

    The purpose of this research is to describe a model of nurses' work motivation relevant to the human caring stance of professional nursing work. The model was derived from selected theories of behavioral motivation and work motivation. Evidence-based theory addressing nurses' work motivation and nurses' motivational states and traits in relation to characteristics of organizational culture and patient health outcomes is suggested in an effort to make a distinct contribution to health services research. An integrated review of selected theories of motivation is presented, including conceptual analyses, theory-building techniques, and the evidence supporting the theoretical propositions and linkages among variables intrinsic to nurses' work motivation. The model of the Motivation to Care for Professional Nursing Work is a framework intended for empirical testing and theory building. The model proposes specific leadership and management strategies to support a culture of motivational caring and competence in health care organizations. Attention to motivation theory and research provides insights and suggests relationships among nurses' motivation to care, motivational states and traits, individual differences that influence nurses' work motivation, and the special effects of nurses' work motivation on patient care outcomes. Suggestions for nursing administrative direction and research are proposed.

  6. Motivating the Knowledge Worker

    Science.gov (United States)

    2010-01-01

    Herzberg . The Two - factor Theory asserts that motivators and de-motivators are mutually exclusive sets of factors . This research supports...various theories of motivation and the data collected from this effort, the author developed a two -dimensional model of the factors that motivate... Theory X/ Theory Y Two - factor Theory Cognitive Evaluation Theory Operant Conditioning Protection Motivation Theory

  7. 'Integration'

    DEFF Research Database (Denmark)

    Olwig, Karen Fog

    2011-01-01

    , while the countries have adopted disparate policies and ideologies, differences in the actual treatment and attitudes towards immigrants and refugees in everyday life are less clear, due to parallel integration programmes based on strong similarities in the welfare systems and in cultural notions...... of equality in the three societies. Finally, it shows that family relations play a central role in immigrants’ and refugees’ establishment of a new life in the receiving societies, even though the welfare society takes on many of the social and economic functions of the family....

  8. A binary-decision-diagram-based two-bit arithmetic logic unit on a GaAs-based regular nanowire network with hexagonal topology

    International Nuclear Information System (INIS)

    Zhao Hongquan; Kasai, Seiya; Shiratori, Yuta; Hashizume, Tamotsu

    2009-01-01

    A two-bit arithmetic logic unit (ALU) was successfully fabricated on a GaAs-based regular nanowire network with hexagonal topology. This fundamental building block of central processing units can be implemented on a regular nanowire network structure with simple circuit architecture based on graphical representation of logic functions using a binary decision diagram and topology control of the graph. The four-instruction ALU was designed by integrating subgraphs representing each instruction, and the circuitry was implemented by transferring the logical graph structure to a GaAs-based nanowire network formed by electron beam lithography and wet chemical etching. A path switching function was implemented in nodes by Schottky wrap gate control of nanowires. The fabricated circuit integrating 32 node devices exhibits the correct output waveforms at room temperature allowing for threshold voltage variation.

  9. Categorising Motivational Drives in Second Language Acquisition.

    Science.gov (United States)

    Green, Christopher Frank

    1999-01-01

    Studied learning motivation of English by Cantonese-speaking students in Hong Kong. Students answered a questionnaire and were assigned on the basis of their responses to four categories of motivational regulation proposed in Deci and Ryan (1985): External, Identified, and Integrated. Suggests that the transition from Identified to Integrated…

  10. A pedagogical example of second-order arithmetic sequences applied to the construction of computer passwords by upper elementary grade students

    Science.gov (United States)

    Coggins, Porter E.

    2015-04-01

    The purpose of this paper is (1) to present how general education elementary school age students constructed computer passwords using digital root sums and second-order arithmetic sequences, (2) argue that computer password construction can be used as an engaging introduction to generate interest in elementary school students to study mathematics related to computer science, and (3) share additional mathematical ideas accessible to elementary school students that can be used to create computer passwords. This paper serves to fill a current gap in the literature regarding the integration of mathematical content accessible to upper elementary school students and aspects of computer science in general, and computer password construction in particular. In addition, the protocols presented here can serve as a hook to generate further interest in mathematics and computer science. Students learned to create a random-looking computer password by using biometric measurements of their shoe size, height, and age in months and to create a second-order arithmetic sequence, then converted the resulting numbers into characters that become their computer passwords. This password protocol can be used to introduce students to good computer password habits that can serve a foundation for a life-long awareness of data security. A refinement of the password protocol is also presented.

  11. Motivation in Beyond Budgeting: A Motivational Paradox?

    DEFF Research Database (Denmark)

    Sandalgaard, Niels; Bukh, Per Nikolaj

    In this paper we discuss the role of motivation in relation to budgeting and we analyse how the Beyond Budgeting model functions compared with traditional budgeting. In the paper we focus on budget related motivation (and motivation in general) and conclude that the Beyond Budgeting model...

  12. Effects of cold-pressor and mental arithmetic on pupillary light reflex

    International Nuclear Information System (INIS)

    Davis, B C; Daluwatte, C; Colona, N C; Yao, D G

    2013-01-01

    Dynamic pupillary light reflex (PLR) is a simple neurological test that can be useful for assessment of autonomic disorders. In this study, we investigated the changes in PLR induced by mental arithmetic task and cold pressor trials which are often applied in research as model systems to elicit autonomic responses. PLR was recorded before, during and after mental arithmetic and cold pressor tasks in 20 healthy adults (ten males and ten females). Stress-induced sympathetic activation was evident as shown in the increased blood pressure during both tasks. Although the pupillary constriction amplitude did not show significant changes, both constriction time and redilation time changed during the tasks. A significant gender effect was observed in cold pressor that suggested more sympathetic activation in males and faster parasympathetic activation in females in response to light stimulation under cold pressor. (paper)

  13. Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China

    CERN Document Server

    Yong, Lam Lay

    2004-01-01

    The Hindu-Arabic numeral system (1, 2, 3,...) is one of mankind''sgreatest achievements and one of its most commonly usedinventions. How did it originate? Those who have written about thenumeral system have hypothesized that it originated in India; however,there is little evidence to support this claim. This book provides considerable evidence to show that theHindu-Arabic numeral system, despite its commonly accepted name,has its origins in the Chinese rod numeral system. This system waswidely used in China from antiquity till the 16th century. It was usedby officials, astronomers, traders and others to perform addition,subtraction, multiplication, division and other arithmetic operations,and also used by mathematicians to develop arithmetic andalgebra. Based on this system, numerous mathematical treatises werewritten.

  14. RAID-6 reed-solomon codes with asymptotically optimal arithmetic complexities

    KAUST Repository

    Lin, Sian-Jheng

    2016-12-24

    In computer storage, RAID 6 is a level of RAID that can tolerate two failed drives. When RAID-6 is implemented by Reed-Solomon (RS) codes, the penalty of the writing performance is on the field multiplications in the second parity. In this paper, we present a configuration of the factors of the second-parity formula, such that the arithmetic complexity can reach the optimal complexity bound when the code length approaches infinity. In the proposed approach, the intermediate data used for the first parity is also utilized to calculate the second parity. To the best of our knowledge, this is the first approach supporting the RAID-6 RS codes to approach the optimal arithmetic complexity.

  15. Cryptanalysis of a chaos-based cryptosystem with an embedded adaptive arithmetic coder

    International Nuclear Information System (INIS)

    Wang Xing-Yuan; Xie Yi-Xin

    2011-01-01

    In this paper, we analyse a new chaos-based cryptosystem with an embedded adaptive arithmetic coder, which was proposed by Li Heng-Jian and Zhang J S (Li H J and Zhang J S 2010 Chin. Phys. B 19 050508). Although this new method has a better compression performance than its original version, it is found that there are some problems with its security and decryption processes. In this paper, it is shown how to obtain a great deal of plain text from the cipher text without prior knowledge of the secret key. After discussing the security and decryption problems of the Li Heng-Jian et al. algorithm, we propose an improved chaos-based cryptosystem with an embedded adaptive arithmetic coder that is more secure. (general)

  16. Math anxiety differentially affects WAIS-IV arithmetic performance in undergraduates.

    Science.gov (United States)

    Buelow, Melissa T; Frakey, Laura L

    2013-06-01

    Previous research has shown that math anxiety can influence the math performance level; however, to date, it is unknown whether math anxiety influences performance on working memory tasks during neuropsychological evaluation. In the present study, 172 undergraduate students completed measures of math achievement (the Math Computation subtest from the Wide Range Achievement Test-IV), math anxiety (the Math Anxiety Rating Scale-Revised), general test anxiety (from the Adult Manifest Anxiety Scale-College version), and the three Working Memory Index tasks from the Wechsler Adult Intelligence Scale-IV Edition (WAIS-IV; Digit Span [DS], Arithmetic, Letter-Number Sequencing [LNS]). Results indicated that math anxiety predicted performance on Arithmetic, but not DS or LNS, above and beyond the effects of gender, general test anxiety, and math performance level. Our findings suggest that math anxiety can negatively influence WAIS-IV working memory subtest scores. Implications for clinical practice include the utilization of LNS in individuals expressing high math anxiety.

  17. DEBT AMORTIZATION AND SIMPLE INTEREST: THE CASE OF PAYMENTS IN AN ARITHMETIC PROGRESSION

    Directory of Open Access Journals (Sweden)

    Clovis José Daudt Lyra Darrigue Faro

    2014-12-01

    Full Text Available With the argument that, necessarily, compound interest implies anatocism, the Brazilian Judiciary has been determining that, specially for the case of  debt amortization in accordance with the so called Tabela Price, when we have constant payments, the use of simple interest. With the same determination occurring in the case of the Constant Amortization Scheme, when the payments follow arithmetic progressions.  However, as simple interest lacks the property of time subdivision, it is shown that as in the case of constant payments, the adoption of simple interest in the case of payments following an arithmetic progression results in amortization schemes that are financially inconsistent. In the sense that the determination of the outstanding principal in accordance with the prospective, retrospective and of recurrence methods lead to conflicting  results. To this end, four different variations of the use of simple interest are numerically analyzed.

  18. A hand full of numbers: a role for offloading in arithmetics learning?

    Directory of Open Access Journals (Sweden)

    Annelise Júlio Costa

    2011-12-01

    Full Text Available Finger counting has been associated to arithmetic learning in children. We examined children with (n = 14 and without (n = 84 mathematics learning difficulties with ages between 8 to 11 years. Deficits in finger gnosia were found in association to mathematical difficulties. Finger gnosia is particularly relevant for the performance in word problems requiring active manipulation of small magnitudes in the range between 1 and 10. Moreover, the deficits in finger gnosia cannot be attributed to a shortage in working memory capacity but rather to a specific inability to use fingers to transiently represent magnitudes, tagging to be counted objects and reducing the cognitive load necessary to solve arithmetic problems. Since finger gnosia is more related to symbolic than to nonsymbolic magnitude processing, finger-related representation of magnitude seems to be an important link for learning the mapping of analog onto discrete symbolic magnitudes.

  19. Women in numbers Europe II contributions to number theory and arithmetic geometry

    CERN Document Server

    Ozman, Ekin; Johnson-Leung, Jennifer; Newton, Rachel

    2018-01-01

    Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as computational methods exemplifies the wealth of techniques available to modern researchers in number theory. Exploring connections between different branches of mathematics and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. Perfect for students and researche...

  20. On the form of the forgetting function: the effects of arithmetic and logarithmic distributions of delays.

    Science.gov (United States)

    Sargisson, Rebecca J; White, K Geoffrey

    2003-11-01

    Forgetting functions with 18 delay intervals were generated for delayed matching-to-sample performance in pigeons. Delay interval variation was achieved by arranging five different sets of five delays across daily sessions. In different conditions, the delays were distributed in arithmetic or logarithmic series. There was no convincing evidence for different effects on discriminability of the distributions of different delays. The mean data were better fitted by some mathematical functions than by others, but the best-fitting functions depended on the distribution of delays. In further conditions with a fixed set of five delays, discriminability was higher with a logarithmic distribution of delays than with an arithmetic distribution. This result is consistent with the treatment of the forgetting function in terms of generalization decrement.

  1. Attention Contributes to Arithmetic Deficits in New-Onset Childhood Absence Epilepsy.

    Science.gov (United States)

    Cheng, Dazhi; Yan, Xiuxian; Gao, Zhijie; Xu, Keming; Chen, Qian

    2017-01-01

    Neuropsychological studies indicate that new-onset childhood absence epilepsy (CAE) is associated with deficits in attention and executive functioning. However, the contribution of these deficits to impaired academic performance remains unclear. We aimed to examine whether attention and executive functioning deficits account for the academic difficulties prevalent in patients with new-onset CAE. We analyzed cognitive performance in several domains, including language, mathematics, psychomotor speed, spatial ability, memory, general intelligence, attention, and executive functioning, in 35 children with new-onset CAE and 33 control participants. Patients with new-onset CAE exhibited deficits in mathematics, general intelligence, attention, and executive functioning. Furthermore, attention deficits, as measured by a visual tracing task, accounted for impaired arithmetic performance in the new-onset CAE group. Therefore, attention deficits, rather than impaired general intelligence or executive functioning, may be responsible for arithmetic performance deficits in patients with new-onset CAE.

  2. To what extent are stochastic the arithmetical progressions of the fractional parts?

    International Nuclear Information System (INIS)

    Arnold, V.

    2008-01-01

    For the residues of the division of the n members of an arithmetical progression by a real number N is proved the tending to 0 of the Kolmogorov's stochasticity parameter λ n , when n tends to infinity, providing that the progression step is commensurable with N. On the contrary, when the step is incommensurable with N, the paper describes some examples, where the stochasticity parameter λ n does not tend to zero, and even attains (infrequently) some arbitrary large values. Both the too small and the too large values of the stochasticity parameter show the small probability of the randomness of the sequence, for which they have been counted. Thus, the long arithmetical progressions' stochasticity degree is much smaller than that of the geometrical progressions (which provide temperate values of the stochasticity parameter, similarly to its value for the genuinely random sequences). (author)

  3. Design of Improved Arithmetic Logic Unit in Quantum-Dot Cellular Automata

    Science.gov (United States)

    Heikalabad, Saeed Rasouli; Gadim, Mahya Rahimpour

    2018-06-01

    The quantum-dot cellular automata (QCA) can be replaced to overcome the limitation of CMOS technology. An arithmetic logic unit (ALU) is a basic structure of any computer devices. In this paper, design of improved single-bit arithmetic logic unit in quantum dot cellular automata is presented. The proposed structure for ALU has AND, OR, XOR and ADD operations. A unique 2:1 multiplexer, an ultra-efficient two-input XOR and a low complexity full adder are used in the proposed structure. Also, an extended design of this structure is provided for two-bit ALU in this paper. The proposed structure of ALU is simulated by QCADesigner and simulation result is evaluated. Evaluation results show that the proposed design has best performance in terms of area, complexity and delay compared to the previous designs.

  4. From algorithmic computing to direct retrieval: evidence from number and alphabetic arithmetic in children and adults.

    Science.gov (United States)

    Barrouillet, P; Fayol, M

    1998-03-01

    A number of theories of mental arithmetic suggest that the ability to solve simple addition and subtraction problems develops from an algorithmic strategy toward a strategy based on the direct retrieval of the result from memory. In the experiment presented here, 2nd and 12th graders were asked to solve two tasks of number and alphabet arithmetic. The subjects transformed series of 1 to 4 numbers or letters (item span) by adding or subtracting an operand varying from 1 to 4 (operation span). Although both the item and operation span were associated with major and identical effects in the case of both numbers and letters at 2nd grade, such effects were clearly observable only in the case of letters for the adult subjects. This suggests the use of an algorithmic strategy for both types of material in the case of the children and for the letters only in the case of the adults, who retrieved numerical results directly from memory.

  5. Adaptivna digitalna sita v strukturi porazdeljene aritmetike: Adaptive digital filter implementation with distributed arithmetic structure:

    OpenAIRE

    Babič, Rudolf; Horvat, Bogomir; Osebik, Davorin

    2001-01-01

    Adaptive digital filters have a wide range of applications in the area of signal processing where only minimum a priori knowledge of signal characteristics is available. In this article the adaptive FIR digital filter implementation based on the distributed arithmetic technique is described. The major problem with conventional adaptive digital filter is the need for fast multipliers. When using a hardware implementation. These multipliers take up the disproportional amount of the overall cost...

  6. Brain potentials during mental arithmetic: effects of extensive practice and problem difficulty

    OpenAIRE

    Pauli, Paul; Lutzenberger, W.; Rau, H.; Birbaumer, N.; Rickard, T. C.; Yaroush, R. A.; Bourne, L. E. J.

    2011-01-01

    Recent behavioral investigations indicate that the processes underlying mental arithmetic change systematically with practice from deliberate, conscious calculation to automatic, direct retrieval of answers from memory [Bourne, L.E.Jr. and Rickard, T.C., Mental calculation: The development of a cognitive skill, Paper presented at the Interamerican Congress of Psychology, San Jose, Costa Rica, 1991; Psychol. Rev., 95 (1988) 492-527]. Results reviewed by Moscovitch and Winocur [In: The handbook...

  7. DEBT AMORTIZATION AND SIMPLE INTEREST: THE CASE OF PAYMENTS IN AN ARITHMETIC PROGRESSION

    OpenAIRE

    Clovis José Daudt Lyra Darrigue Faro

    2014-01-01

    With the argument that, necessarily, compound interest implies anatocism, the Brazilian Judiciary has been determining that, specially for the case of  debt amortization in accordance with the so called Tabela Price, when we have constant payments, the use of simple interest. With the same determination occurring in the case of the Constant Amortization Scheme, when the payments follow arithmetic progressions.  However, as simple interest lacks the property of time subdivision, it is shown th...

  8. Energy efficient smartphone-based activity recognition using fixed-point arithmetic

    OpenAIRE

    Anguita, Davide; Ghio, Alessandro; Oneto, Luca; Llanas Parra, Francesc Xavier; Reyes Ortiz, Jorge Luis

    2013-01-01

    In this paper we propose a novel energy efficient approach for the recognition of human activities using smartphones as wearable sensing devices, targeting assisted living applications such as remote patient activity monitoring for the disabled and the elderly. The method exploits fixed-point arithmetic to propose a modified multiclass Support Vector Machine (SVM) learning algorithm, allowing to better pre- serve the smartphone battery lifetime with respect to the conventional flo...

  9. GSFAP Adaptive Filtering Using Log Arithmetic for Resource-Constrained Embedded Systems

    Czech Academy of Sciences Publication Activity Database

    Tichý, Milan; Schier, Jan; Gregg, D.

    2010-01-01

    Roč. 9, č. 3 (2010), s. 1-31 ISSN 1539-9087 R&D Projects: GA MŠk 7H09005 Institutional research plan: CEZ:AV0Z10750506 Keywords : FPGA * DSP * logarithmic arithmetic * affine projection Subject RIV: BD - Theory of Information Impact factor: 1.057, year: 2010 http://library.utia.cas.cz/separaty/2010/ZS/tichy-0341115.pdf

  10. Using Mouse and Keyboard Dynamics to Detect Cognitive Stress During Mental Arithmetic

    OpenAIRE

    Ayesh, Aladdin, 1972-; Stacey, Martin; Lim, Yee Mei

    2015-01-01

    To build a personalized e-learning system that can deliver adaptive learning content based on student’s cognitive effort and efficiency, it is important to develop a construct that can help measuring perceived mental state, such as stress and cognitive load. The construct must be able to be quantified, computerized and automated. Our research investigates how mouse and keyboard dynamics analyses could be used to detect cognitive stress, which is induced by high mental arithmetic demand with t...

  11. The Interpretations and Applications of Boethius's Introduction to the Arithmetic II, 1 at the End of the 10th Century

    Czech Academy of Sciences Publication Activity Database

    Otisk, Marek

    2014-01-01

    Roč. 5, - (2014), s. 33-56 ISSN 2038-3657 Institutional support: RVO:67985955 Keywords : Boethius * arithmetic * Gerbert of Aurillac * Abbo of Fleury * Notker of Liège Subject RIV: AA - Philosophy ; Religion

  12. Motivation In Second language learning In China

    Institute of Scientific and Technical Information of China (English)

    郑葳

    2017-01-01

    Motivation is the indispensable condition for a student's learning success. As a foreign language teacher, they should motivate the second language learners by promoting positive language-related values. Dornyei identifies three value dimensions. They are intrinsic value, integrative value and instrumental value. In China, the Communicative Language Teaching is an innovation approach and learner- centered. The CLT approach and curriculum have motivated students' interest, appreciation and values in learning English. In English classroom, the teacher should establish the cooperative situation rather than the competitive environment in order to arouse the students' motivation and reduce the psychological pressure.

  13. A Comparative Study on Sugeno Integral Approach to Aggregation of Experts' Opinion

    International Nuclear Information System (INIS)

    Kim, Seong Ho; Kim, Kil Yoo; Kim, Tae Woon

    2007-01-01

    A multicriteria decision-making (MCDM) problem of preference ranking of various alternatives is common in science and engineering fields. Usually, the MCDM problem is characterized in terms of two factors: relative importance of each evaluation criterion and appropriateness of each alternative. The ranking is determined by a relative degree of appropriateness of decision alternatives. In reality, there are different grades of interaction among decision criteria. One of well-known approaches to aggregation of those two factors is the weighted arithmetic mean (WAM) approach. Here, importance weights for criteria are viewed as probability measures. The weights are linearly aggregated with appropriateness values. In the present work, the main objective is to study an aggregation model with various grades of interactions among the decision elements. The successful applications of fuzzy integral aggregation operators to subjective MCDM problems have been motivating this work. On the basis of λ-fuzzy measures and Sugeno integral (SI), the SI aggregation approach is proposed. Here, interaction among criteria is dealt with λ-fuzzy measures. Aggregation of these measures and appropriateness values is implemented, especially, by the Sugeno integral as one of fuzzy integrals. Aggregated values obtained by the SI approach are viewed as decision maker's pessimistic (or conservative) attitude towards information aggregation, compared to the WAM approach. Firstly, the concepts of the λ-fuzzy measure and the Sugeno fuzzy integral are introduced. Then, as an application of the SI approach, an illustrative example is given

  14. Heuristics and representational change in two-move matchstick arithmetic tasks

    Directory of Open Access Journals (Sweden)

    Michael Öllinger

    2006-01-01

    Full Text Available Insight problems are problems where the problem solver struggles to find a solution until * aha! * the solution suddenly appears. Two contemporary theories suggest that insight problems are difficult either because problem solvers begin with an incorrect representation of the problem, or that problem solvers apply inappropriate heuristics to the problem. The relative contributions of representational change and inappropriate heuristics on the process of insight problem solving was studied with a task that required the problem solver to move two matchsticks in order to transform an incorrect arithmetic statement into a correct one. Problem solvers (N = 120 worked on two different types of two-move matchstick arithmetic problems that both varied with respect to the effectiveness of heuristics and to the degree of a necessary representational change of the problem representation. A strong influence of representational change on solution rates was found whereas the influence of heuristics hadminimal effects on solution rates. That is, the difficulty of insight problems within the two-move matchstick arithmetic domain is governed by the degree of representational change required. A model is presented that details representational change as the necessary condition for ensuring that appropriate heuristics can be applied on the proper problem representation.

  15. PaCAL: A Python Package for Arithmetic Computations with Random Variables

    Directory of Open Access Journals (Sweden)

    Marcin Korze?

    2014-05-01

    Full Text Available In this paper we present PaCAL, a Python package for arithmetical computations on random variables. The package is capable of performing the four arithmetic operations: addition, subtraction, multiplication and division, as well as computing many standard functions of random variables. Summary statistics, random number generation, plots, and histograms of the resulting distributions can easily be obtained and distribution parameter ?tting is also available. The operations are performed numerically and their results interpolated allowing for arbitrary arithmetic operations on random variables following practically any probability distribution encountered in practice. The package is easy to use, as operations on random variables are performed just as they are on standard Python variables. Independence of random variables is, by default, assumed on each step but some computations on dependent random variables are also possible. We demonstrate on several examples that the results are very accurate, often close to machine precision. Practical applications include statistics, physical measurements or estimation of error distributions in scienti?c computations.

  16. Unpacking symbolic number comparison and its relation with arithmetic in adults.

    Science.gov (United States)

    Sasanguie, Delphine; Lyons, Ian M; De Smedt, Bert; Reynvoet, Bert

    2017-08-01

    Symbolic number - or digit - comparison has been a central tool in the domain of numerical cognition for decades. More recently, individual differences in performance on this task have been shown to robustly relate to individual differences in more complex math processing - a result that has been replicated across many different age groups. In this study, we 'unpack' the underlying components of digit comparison (i.e. digit identification, digit to number-word matching, digit ordering and general comparison) in a sample of adults. In a first experiment, we showed that digit comparison performance was most strongly related to digit ordering ability - i.e., the ability to judge whether symbolic numbers are in numerical order. Furthermore, path analyses indicated that the relation between digit comparison and arithmetic was partly mediated by digit ordering and fully mediated when non-numerical (letter) ordering was also entered into the model. In a second experiment, we examined whether a general order working memory component could account for the relation between digit comparison and arithmetic. It could not. Instead, results were more consistent with the notion that fluent access and activation of long-term stored associations between numbers explains the relation between arithmetic and both digit comparison and digit ordering tasks. Copyright © 2017 Elsevier B.V. All rights reserved.

  17. Multiple Paths to Mathematics Practice in Al-Kashi's Key to Arithmetic

    Science.gov (United States)

    Taani, Osama

    2014-01-01

    In this paper, I discuss one of the most distinguishing features of Jamshid al-Kashi's pedagogy from his Key to Arithmetic, a well-known Arabic mathematics textbook from the fifteenth century. This feature is the multiple paths that he includes to find a desired result. In the first section light is shed on al-Kashi's life and his contributions to mathematics and astronomy. Section 2 starts with a brief discussion of the contents and pedagogy of the Key to Arithmetic. Al-Kashi's multiple approaches are discussed through four different examples of his versatility in presenting a topic from multiple perspectives. These examples are multiple definitions, multiple algorithms, multiple formulas, and multiple methods for solving word problems. Section 3 is devoted to some benefits that can be gained by implementing al-Kashi's multiple paths approach in modern curricula. For this discussion, examples from two teaching modules taken from the Key to Arithmetic and implemented in Pre-Calculus and mathematics courses for preservice teachers are discussed. Also, the conclusions are supported by some aspects of these modules. This paper is an attempt to help mathematics educators explore more benefits from reading from original sources.

  18. High-performers use the phonological loop less to process mental arithmetic during working memory tasks.

    Science.gov (United States)

    Otsuka, Yuki; Osaka, Naoyuki

    2015-01-01

    This study investigated the effects of three working memory components-the central executive, phonological loop, and visuospatial sketchpad-on performance differences in complex mental arithmetic between individuals. Using the dual-task method, we examined how performance during two-digit addition was affected by load on the central executive (random tapping condition), phonological loop (articulatory suppression condition), and visuospatial sketchpad (spatial tapping condition) compared to that under no load (control condition) in high- and low-performers of complex mental arithmetic in Experiment 1. Low-performers showed an increase in errors under the random tapping and articulatory suppression conditions, whereas high-performers showed an increase of errors only under the random tapping condition. In Experiment 2, we conducted similar experiments on only the high-performers but used a shorter presentation time of each number. We found the same pattern for performing complex mental arithmetic as seen in Experiment 1. These results indicate that high-performers might reduce their dependence on the phonological loop, because the central executive enables them to choose a strategy in which they use less working memory capacity.

  19. What's Behind a "+" Sign? Perceiving an Arithmetic Operator Recruits Brain Circuits for Spatial Orienting.

    Science.gov (United States)

    Mathieu, Romain; Epinat-Duclos, Justine; Sigovan, Monica; Breton, Audrey; Cheylus, Anne; Fayol, Michel; Thevenot, Catherine; Prado, Jérôme

    2018-05-01

    Do mathematical symbols evoke spatial representations? Although behavioral studies have long demonstrated interactions between space and the processing of Arabic digits, how to interpret these results remains controversial. Here, we tested whether activity in regions supporting spatial processing contributes to the processing of symbols conveying fundamental arithmetic concepts-such as operation signs-even in the absence of associated digits. Using functional magnetic resonance imaging, we show that merely perceiving a "+" sign triggers activity in brain regions that support the orienting of spatial attention in adults. Activity in these regions was greater for "+" than for "×" signs, indicating that it is modulated by whether an operator reflects an operation that evokes numerical manipulation (rather than rote memorization). Finally, the degree to which subjects activated a spatial region in response to a "+" sign was correlated with the degree to which subjects benefited from being briefly presented with that sign before having to calculate a single-digit addition problem, an effect termed operator-priming. Therefore, not only are some arithmetic operators linked to spatial intuitions, but such intuitions might also have an important role during arithmetic calculation. More generally, our findings support the view that mathematical symbols inherently evoke spatial representations.

  20. Assessing Adult Learner’s Numeracy as Related to Gender and Performance in Arithmetic

    Directory of Open Access Journals (Sweden)

    Adeneye O. A. Awofala

    2014-07-01

    Full Text Available The study investigated adult learner numeracy as related to gender and performance in arithmetic among 32 Nigerian adult learners from one government accredited adult literacy centre in Lagos State using the quantitative research method within the blueprint of descriptive survey design. Data collected were analysed using the descriptive statistics of percentages, mean, and standard deviation and inferential statistics of factor analysis, independent samples t-test, and multiple regression analysis. Findings revealed that numeracy skill assessed by the numeracy self-assessment scale was a multi-dimensional construct (numeracy in everyday life, numeracy in workplace, and numeracy in mathematical tasks. Adult learners showed average numeracy strength as gender differences in perception of numeracy skills and performance in arithmetic among adult learners reached zero-tolerance level. Numeracy in workplace and numeracy in mathematical tasks made statistically significant contributions to the variance in adult learners’ performance in arithmetic. Based on this base line study, it was thus, recommended that future studies in Nigeria should investigate adult learners’ numeracy skills using more robust and psychometrically sound instruments such as the Adult Literacy and Life Skills Survey (ALLS and the International Adult Literacy Survey (IALS.

  1. Measuring Acetabular Cup Orientation on Antero-Posterior Radiographs of the Hip after Total Hip Arthroplasty with a Vector Arithmetic Radiological Method. Is It Valid and Verified for Daily Clinical Practice?

    Science.gov (United States)

    Craiovan, B; Weber, M; Worlicek, M; Schneider, M; Springorum, H R; Zeman, F; Grifka, J; Renkawitz, T

    2016-06-01

    The aim of this prospective study is to validate a vector arithmetic method for measuring acetabular cup orientation after total hip arthroplasty (THA) and to verify the clinical practice. We measured cup anteversion and inclination of 123 patients after cementless primary THA twice by two examiners on AP pelvic radiographs with a vector arithmetic method and compared with a 3D-CT based reconstruction model within the same radiographic coronal plane. The mean difference between the radiographic and the 3D-CT measurements was - 1.4° ± 3.9° for inclination and 0.8°± 7.9° for anteversion with excellent correlation for inclination (r = 0.81, p cup position after THA on pelvic radiographs by this vector arithmetic method, there is a need for a correct postoperative ap view, with special regards to the pelvic tilt for the future. • Measuring acetabular cup orientation on anteroposterior radiographs of the hip after THA is a helpful procedure in everyday clinical practice as a first-line imaging modality• CT remains the golden standard to accurately determine acetabular cup position.• Future measuring on radiographs for cup orientation after THA should account for integration of the pelvic tilt in order to maximize the measurement accuracy. Citation Format: • Craiovan B, Weber M, Worlicek M et al. Measuring Acetabular Cup Orientation on Antero-Posterior Radiographs of the Hip after Total Hip Arthroplasty with a Vector Arithmetic Radiological Method. Is It Valid and Verified for Daily Clinical Practice?. Fortschr Röntgenstr 2016; 188: 574 - 581. © Georg Thieme Verlag KG Stuttgart · New York.

  2. Motivational Profiles and Their Associations with Achievement Outcomes

    Science.gov (United States)

    Shen, Bo; McCaughtry, Nate; Martin, Jeffrey J.; Fahlman, Mariane M.

    2009-01-01

    With the belief that theoretical integration in motivation may help us better understand motivational behavior, we designed this study to explore adolescents' motivational profiles and their associations with knowledge acquisition, leisure-time exercise behaviors, and cardiorespiratory fitness. Middle school students from a large urban inner-city…

  3. Motivation and Interlanguage Pragmatics in Iranian English Language Learners

    Science.gov (United States)

    Khorshidi, Hassan Rasouli; Nimchahi, Abdolreza Bagherzadeh

    2013-01-01

    It is generally believed that interlanguage pragmatics and motivation play important roles in learning. Motivation is important because it determines the extent of the learner's active involvement and attitude toward learning. The major purpose of this study was to investigate the impact of integrative and instrumental motivation on the…

  4. Motivation programmes of organizations

    OpenAIRE

    Pízová, Tereza

    2008-01-01

    The Bachelor Thesis "'Motivation Programmes of Organizations" focuses on an extremely important area within personnel management. Employee motivation is crucial to the effective operation of businesses. Motivation programmes assist in increasing and maintaining employee motivation and demonstrate an organization's interest in its employees. This piece is on one hand concerned with theoretical foundations of motivation, describing theories and concepts important to the area of human behaviour ...

  5. Motivational Measure of the Instruction Compared: Instruction Based on the ARCS Motivation Theory vs Traditional Instruction in Blended Courses

    Science.gov (United States)

    Colakoglu, Ozgur M.; Akdemir, Omur

    2012-01-01

    The ARCS Motivation Theory was proposed to guide instructional designers and teachers who develop their own instruction to integrate motivational design strategies into the instruction. There is a lack of literature supporting the idea that instruction for blended courses if designed based on the ARCS Motivation Theory provides different…

  6. Motivational condition in educational evaluation

    Directory of Open Access Journals (Sweden)

    Julio Fernando Acosta Muñoz

    2012-01-01

    Full Text Available This is a reflection article, methodologically based on research into and theoretical and conceptual review of the motivational condition in educational evaluation. At the same time, some inquiries about the motivational problems in this education process are made. The objective is to examine what the motivational condition within the process ofeducational evaluation is. On the one hand, educational evaluation is a tool that attests to the knowledge, on the other hand, however, it prevents students from strengthening their interest both in the participation in the specific testing activity and in their learning, since it lays emphasis on extrinsic factors, such as grade, which make students lose and distort their intrinsic motivation to learn. Therefore, the evaluation proposal arisen from the construct of motivation is thought to generate in students positive sensations standing even after goals are obtained. Likewise, it must promote liveliness, integration and psychological health, in order to get students to fulfill their needs and obtain psychological welfare in the classroom.

  7. Mathematical aspects of Feynman integrals

    International Nuclear Information System (INIS)

    Bogner, Christian

    2009-08-01

    In the present dissertation we consider Feynman integrals in the framework of dimensional regularization. As all such integrals can be expressed in terms of scalar integrals, we focus on this latter kind of integrals in their Feynman parametric representation and study their mathematical properties, partially applying graph theory, algebraic geometry and number theory. The three main topics are the graph theoretic properties of the Symanzik polynomials, the termination of the sector decomposition algorithm of Binoth and Heinrich and the arithmetic nature of the Laurent coefficients of Feynman integrals. The integrand of an arbitrary dimensionally regularised, scalar Feynman integral can be expressed in terms of the two well-known Symanzik polynomials. We give a detailed review on the graph theoretic properties of these polynomials. Due to the matrix-tree-theorem the first of these polynomials can be constructed from the determinant of a minor of the generic Laplacian matrix of a graph. By use of a generalization of this theorem, the all-minors-matrix-tree theorem, we derive a new relation which furthermore relates the second Symanzik polynomial to the Laplacian matrix of a graph. Starting from the Feynman parametric parameterization, the sector decomposition algorithm of Binoth and Heinrich serves for the numerical evaluation of the Laurent coefficients of an arbitrary Feynman integral in the Euclidean momentum region. This widely used algorithm contains an iterated step, consisting of an appropriate decomposition of the domain of integration and the deformation of the resulting pieces. This procedure leads to a disentanglement of the overlapping singularities of the integral. By giving a counter-example we exhibit the problem, that this iterative step of the algorithm does not terminate for every possible case. We solve this problem by presenting an appropriate extension of the algorithm, which is guaranteed to terminate. This is achieved by mapping the iterative

  8. Mathematical aspects of Feynman integrals

    Energy Technology Data Exchange (ETDEWEB)

    Bogner, Christian

    2009-08-15

    In the present dissertation we consider Feynman integrals in the framework of dimensional regularization. As all such integrals can be expressed in terms of scalar integrals, we focus on this latter kind of integrals in their Feynman parametric representation and study their mathematical properties, partially applying graph theory, algebraic geometry and number theory. The three main topics are the graph theoretic properties of the Symanzik polynomials, the termination of the sector decomposition algorithm of Binoth and Heinrich and the arithmetic nature of the Laurent coefficients of Feynman integrals. The integrand of an arbitrary dimensionally regularised, scalar Feynman integral can be expressed in terms of the two well-known Symanzik polynomials. We give a detailed review on the graph theoretic properties of these polynomials. Due to the matrix-tree-theorem the first of these polynomials can be constructed from the determinant of a minor of the generic Laplacian matrix of a graph. By use of a generalization of this theorem, the all-minors-matrix-tree theorem, we derive a new relation which furthermore relates the second Symanzik polynomial to the Laplacian matrix of a graph. Starting from the Feynman parametric parameterization, the sector decomposition algorithm of Binoth and Heinrich serves for the numerical evaluation of the Laurent coefficients of an arbitrary Feynman integral in the Euclidean momentum region. This widely used algorithm contains an iterated step, consisting of an appropriate decomposition of the domain of integration and the deformation of the resulting pieces. This procedure leads to a disentanglement of the overlapping singularities of the integral. By giving a counter-example we exhibit the problem, that this iterative step of the algorithm does not terminate for every possible case. We solve this problem by presenting an appropriate extension of the algorithm, which is guaranteed to terminate. This is achieved by mapping the iterative

  9. Long-Term Multi-Band and Polarimetric View of Mkn 421: Motivations for an Integrated Open-Data Platform for Blazar Optical Polarimetry

    Directory of Open Access Journals (Sweden)

    Ulisses Barres de Almeida

    2017-11-01

    Full Text Available In this work, by making use of the large software and database resources made available through online facilities such as the ASI Science Data Center (ASDC, we present a novel approach to the modelling of blazar emission whereby the multi-epoch SED for Mkn 421 is modelled considering, in a self-consistent way, the temporal lags between bands (both in short and long-timescales. These are obtained via a detailed cross-correlation analysis, spanning data from radio to VHE gamma-rays from 2008 to 2015. In addition to that, long-term optical polarisation data is used to aid and complement our physical interpretation of the state and evolution of the source. Blazar studies constitute a clear example that astrophysics is becoming increasingly dominated by “big data”. Specific questions, such as the interpretation of polarimetric information—namely the evolution of the polarisation degree (PD and specially the polarisation angle (PA of a source—are very sensitive to the density of data coverage. Improving data accessibility and integration, in order to respond to these necessities, is thus extremely important and has a potentially large impact for blazar science. For this reason, we present also the project to create an open-access database for optical polarimetry, aiming to circumvent the issues raised above, by integrating long-term optical polarisation information on a number sources from several observatories and data providers in a consistent way. The platform, to be launched by the end of 2017 is built as part of the Brazilian Science Data Center (BSDC, a project hosted at CBPF, in Rio de Janeiro, and developed with the support of the Italian Space Agency (ASI and ICRANet. The BSDC is Virtual Observatory-compliant and is built in line with “Open Universe”, a global space science open-data initiative to be launched in November under the auspices of the United Nations.

  10. Command and motivation

    DEFF Research Database (Denmark)

    Jacobsen, Christian Bøtcher; Hvidtved, Johan; Andersen, Lotte Bøgh

    2014-01-01

    Motivated employees are crucial to organizations, but external interventions such as command systems and financial incentives may decrease motivation. If these external interventions are perceived to be controlling, they are expected to crowd out intrinsic motivation, and this may also apply...... to other types of autonomous motivation such as public service motivation. The perception of external interventions is thus expected to be vital. This article investigates how the perception of a specific command system (obligatory student plans) is associated with intrinsic motivation and public service...... motivation. Using a dataset with 3,230 school teachers in Denmark, a structural equation model shows that the perception of obligatory student plans as controlling is negatively associated with all of the investigated types of employee motivation, supporting that motivation crowding can occur....

  11. The Assessment of Intrinsic and Extrinsic Motivation and Amotivation: Validity and Reliability of the Greek Version of the Academic Motivation Scale

    Science.gov (United States)

    Barkoukis, Vassilis; Tsorbatzoudis, Haralambos; Grouios, George; Sideridis, Georgios

    2008-01-01

    Self-determination theory provides an integrated conception of school- and academic motivation. The theory proposes a continuum comprising three types of motivation: intrinsic motivation (IM), extrinsic motivation (EM), and amotivation (AM), characterised by seven dimensions (IM = to know, to accomplish and to experience stimulation, EM = external…

  12. Development of a fully automated, web-based, tailored intervention promoting regular physical activity among insufficiently active adults with type 2 diabetes: integrating the I-change model, self-determination theory, and motivational interviewing components.

    Science.gov (United States)

    Moreau, Michel; Gagnon, Marie-Pierre; Boudreau, François

    2015-02-17

    Type 2 diabetes is a major challenge for Canadian public health authorities, and regular physical activity is a key factor in the management of this disease. Given that fewer than half of people with type 2 diabetes in Canada are sufficiently active to meet the recommendations, effective programs targeting the adoption of regular physical activity (PA) are in demand for this population. Many researchers argue that Web-based, tailored interventions targeting PA are a promising and effective avenue for sedentary populations like Canadians with type 2 diabetes, but few have described the detailed development of this kind of intervention. This paper aims to describe the systematic development of the Web-based, tailored intervention, Diabète en Forme, promoting regular aerobic PA among adult Canadian francophones with type 2 diabetes. This paper can be used as a reference for health professionals interested in developing similar interventions. We also explored the integration of theoretical components derived from the I-Change Model, Self-Determination Theory, and Motivational Interviewing, which is a potential path for enhancing the effectiveness of tailored interventions on PA adoption and maintenance. The intervention development was based on the program-planning model for tailored interventions of Kreuter et al. An additional step was added to the model to evaluate the intervention's usability prior to the implementation phase. An 8-week intervention was developed. The key components of the intervention include a self-monitoring tool for PA behavior, a weekly action planning tool, and eight tailored motivational sessions based on attitude, self-efficacy, intention, type of motivation, PA behavior, and other constructs and techniques. Usability evaluation, a step added to the program-planning model, helped to make several improvements to the intervention prior to the implementation phase. The intervention development cost was about CDN $59,700 and took approximately

  13. Spatial complexity of character-based writing systems and arithmetic in primary school: a longitudinal study

    Science.gov (United States)

    Rodic, Maja; Tikhomirova, Tatiana; Kolienko, Tatiana; Malykh, Sergey; Bogdanova, Olga; Zueva, Dina Y.; Gynku, Elena I.; Wan, Sirui; Zhou, Xinlin; Kovas, Yulia

    2015-01-01

    Previous research has consistently found an association between spatial and mathematical abilities. We hypothesized that this link may partially explain the consistently observed advantage in mathematics demonstrated by East Asian children. Spatial complexity of the character-based writing systems may reflect or lead to a cognitive advantage relevant to mathematics. Seven hundered and twenty one 6–9-year old children from the UK and Russia were assessed on a battery of cognitive skills and arithmetic. The Russian children were recruited from specialist linguistic schools and divided into four different language groups, based on the second language they were learning (i.e., English, Spanish, Chinese, and Japanese). The UK children attended regular schools and were not learning any second language. The testing took place twice across the school year, once at the beginning, before the start of the second language acquisition, and once at the end of the year. The study had two aims: (1) to test whether spatial ability predicts mathematical ability in 7–9 year-old children across the samples; (2) to test whether acquisition and usage of a character-based writing system leads to an advantage in performance in arithmetic and related cognitive tasks. The longitudinal link from spatial ability to mathematics was found only in the Russian sample. The effect of second language acquisition on mathematics or other cognitive skills was negligible, although some effect of Chinese language on mathematical reasoning was suggested. Overall, the findings suggest that although spatial ability is related to mathematics at this age, one academic year of exposure to spatially complex writing systems is not enough to provide a mathematical advantage. Other educational and socio-cultural factors might play a greater role in explaining individual and cross-cultural differences in arithmetic at this age. PMID:25859235

  14. Spatial complexity of character based writing systems and arithmetic in primary school: a longitudinal study

    Directory of Open Access Journals (Sweden)

    Maja eRodic

    2015-03-01

    Full Text Available Previous research has consistently found an association between spatial and mathematical abilities. We hypothesised that this link may partially explain the consistently observed advantage in mathematics demonstrated by Asian children. Spatial complexity of the character-based writing systems may reflect or lead to a cognitive advantage relevant to mathematics. 721 6-9 -year old children from the UK and Russia were assessed on a battery of cognitive skills and arithmetic. The Russian children were recruited from specialist linguistic schools and divided into 4 different language groups, based on the second language they were learning (i.e. English, Spanish, Chinese and Japanese. The UK children attended regular schools and were not learning any second language. The testing took place twice across the school year, once at the beginning, before the start of the second language acquisition, and once at the end of the year. The study had two aims: (1 to test whether spatial ability predicts mathematical ability in 7-9 year old children across the samples; (2 to test whether acquisition and usage of a character-based writing system leads to an advantage in performance in arithmetic and related cognitive tasks. The longitudinal link from spatial ability to mathematics was found only in the Russian sample. The effect of second language acquisition on mathematics or other cognitive skills was negligible, although some effect of Chinese language on mathematical reasoning was suggested. Overall, the findings suggest that although spatial ability is related to mathematics at this age, one academic year of exposure to spatially complex writing systems is not enough to provide a mathematical advantage. Other educational and socio-cultural factors might play a greater role in explaining individual and cross-cultural differences in arithmetic at this age.

  15. Spatial complexity of character-based writing systems and arithmetic in primary school: a longitudinal study.

    Science.gov (United States)

    Rodic, Maja; Tikhomirova, Tatiana; Kolienko, Tatiana; Malykh, Sergey; Bogdanova, Olga; Zueva, Dina Y; Gynku, Elena I; Wan, Sirui; Zhou, Xinlin; Kovas, Yulia

    2015-01-01

    Previous research has consistently found an association between spatial and mathematical abilities. We hypothesized that this link may partially explain the consistently observed advantage in mathematics demonstrated by East Asian children. Spatial complexity of the character-based writing systems may reflect or lead to a cognitive advantage relevant to mathematics. Seven hundered and twenty one 6-9-year old children from the UK and Russia were assessed on a battery of cognitive skills and arithmetic. The Russian children were recruited from specialist linguistic schools and divided into four different language groups, based on the second language they were learning (i.e., English, Spanish, Chinese, and Japanese). The UK children attended regular schools and were not learning any second language. The testing took place twice across the school year, once at the beginning, before the start of the second language acquisition, and once at the end of the year. The study had two aims: (1) to test whether spatial ability predicts mathematical ability in 7-9 year-old children across the samples; (2) to test whether acquisition and usage of a character-based writing system leads to an advantage in performance in arithmetic and related cognitive tasks. The longitudinal link from spatial ability to mathematics was found only in the Russian sample. The effect of second language acquisition on mathematics or other cognitive skills was negligible, although some effect of Chinese language on mathematical reasoning was suggested. Overall, the findings suggest that although spatial ability is related to mathematics at this age, one academic year of exposure to spatially complex writing systems is not enough to provide a mathematical advantage. Other educational and socio-cultural factors might play a greater role in explaining individual and cross-cultural differences in arithmetic at this age.

  16. Lógica y Pensamiento Aritmético (Logic and Arithmetic Thinking

    Directory of Open Access Journals (Sweden)

    Alfonso Ortiz

    2009-01-01

    Full Text Available Presentamos los resultados obtenidos en una prueba sobre razonamiento inductivo numérico finito y unas entrevistas clínicas posteriores realizadas a escolares de educación primaria. La primera fue respondida por 400 escolares. Con base en los resultados obtenidos, se seleccionaron 28 alumnos para realizarles entrevistas clínicas individualizadas con el fin de determinar la evolución de las relaciones lógicas que estos escolares pueden establecer en el campo de los números naturales finitos. El origen de este estudio está en problemas históricos sobre los fundamentos lógicos de la aritmética. Buscamos determinar de forma empírica hasta qué punto la lógica juega un papel determinante en el origen de la aritmética o, por el contrario, si los orígenes de la lógica están predeterminados por la aritmética y otros conocimientos. We present the results of two tests performed by primary school students. The first one was on finite numeric inductive reasoning and was performed by 400 students. According to its results, we selected 28 students to whom we clinically interviewed aiming to determine the evolution of the logic relations that they can establish in the field of finite natural numbers. This study originates on historic problems of the logical foundation of arithmetic. We aim to empirically determine the extent to which logic plays a key role in the origin of arithmetic or, on the contrary, if the origins of logic are predetermined by arithmetic and other fields.

  17. Tensor Arithmetic, Geometric and Mathematic Principles of Fluid Mechanics in Implementation of Direct Computational Experiments

    Directory of Open Access Journals (Sweden)

    Bogdanov Alexander

    2016-01-01

    Full Text Available The architecture of a digital computing system determines the technical foundation of a unified mathematical language for exact arithmetic-logical description of phenomena and laws of continuum mechanics for applications in fluid mechanics and theoretical physics. The deep parallelization of the computing processes results in functional programming at a new technological level, providing traceability of the computing processes with automatic application of multiscale hybrid circuits and adaptive mathematical models for the true reproduction of the fundamental laws of physics and continuum mechanics.

  18. Performance analysis of Arithmetic Mean method in determining peak junction temperature of semiconductor device

    Directory of Open Access Journals (Sweden)

    Mohana Sundaram Muthuvalu

    2015-12-01

    Full Text Available High reliability users of microelectronic devices have been derating junction temperature and other critical stress parameters to improve device reliability and extend operating life. The reliability of a semiconductor is determined by junction temperature. This paper gives a useful analysis on mathematical approach which can be implemented to predict temperature of a silicon die. The problem could be modeled as heat conduction equation. In this study, numerical approach based on implicit scheme and Arithmetic Mean (AM iterative method will be applied to solve the governing heat conduction equation. Numerical results are also included in order to assert the effectiveness of the proposed technique.

  19. A software framework for pipelined arithmetic algorithms in field programmable gate arrays

    Science.gov (United States)

    Kim, J. B.; Won, E.

    2018-03-01

    Pipelined algorithms implemented in field programmable gate arrays are extensively used for hardware triggers in the modern experimental high energy physics field and the complexity of such algorithms increases rapidly. For development of such hardware triggers, algorithms are developed in C++, ported to hardware description language for synthesizing firmware, and then ported back to C++ for simulating the firmware response down to the single bit level. We present a C++ software framework which automatically simulates and generates hardware description language code for pipelined arithmetic algorithms.

  20. Implications of an arithmetical symmetry of the commutant for modular invariants

    International Nuclear Information System (INIS)

    Ruelle, P.; Thiran, E.; Weyers, J.

    1993-01-01

    We point out the existence of an arithmetical symmetry for the commutant of the modular matrices S and T. This symmetry holds for all affine simple Lie algebras at all levels and implies the equality of certain coefficients in any modular invariant. Particularizing to SU(3) k , we classify the modular invariant partition functions when k+3 is an integer coprime with 6 and when it is a power of either 2 or 3. Our results imply that no detailed knowledge of the commutant is needed to undertake a classification of all modular invariants. (orig.)

  1. The Influence of verbalization on the pattern of cortical activation during mental arithmetic

    Directory of Open Access Journals (Sweden)

    Zarnhofer Sabrina

    2012-03-01

    Full Text Available Abstract Background The aim of the present functional magnetic resonance imaging (fMRI study at 3 T was to investigate the influence of the verbal-visual cognitive style on cerebral activation patterns during mental arithmetic. In the domain of arithmetic, a visual style might for example mean to visualize numbers and (intermediate results, and a verbal style might mean, that numbers and (intermediate results are verbally repeated. In this study, we investigated, first, whether verbalizers show activations in areas for language processing, and whether visualizers show activations in areas for visual processing during mental arithmetic. Some researchers have proposed that the left and right intraparietal sulcus (IPS, and the left angular gyrus (AG, two areas involved in number processing, show some domain or modality specificity. That is, verbal for the left AG, and visual for the left and right IPS. We investigated, second, whether the activation in these areas implied in number processing depended on an individual's cognitive style. Methods 42 young healthy adults participated in the fMRI study. The study comprised two functional sessions. In the first session, subtraction and multiplication problems were presented in an event-related design, and in the second functional session, multiplications were presented in two formats, as Arabic numerals and as written number words, in an event-related design. The individual's habitual use of visualization and verbalization during mental arithmetic was assessed by a short self-report assessment. Results We observed in both functional sessions that the use of verbalization predicts activation in brain areas associated with language (supramarginal gyrus and auditory processing (Heschl's gyrus, Rolandic operculum. However, we found no modulation of activation in the left AG as a function of verbalization. Conclusions Our results confirm that strong verbalizers use mental speech as a form of mental

  2. Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis

    Directory of Open Access Journals (Sweden)

    J. Michal

    2003-09-01

    Full Text Available In the paper, a reduction algorithm for transforming the generaleigenvalue problem to the standard one is presented for both classicalfull-matrix methods and a sparse-matrix technique appropriate forlarge-scale circuits. An optimal pivoting strategy for the two methodsis proposed to increase the precision of the computations. The accuracyof the algorithms is furthermore increased using longer numerical data.First, a ORQJ.GRXEOH precision sparse algorithm is compared with theGRXEOH precision sparse and full-matrix ones. Finally, the applicationof a suitable multiple-precision arithmetic library is evaluated.

  3. CMIS arithmetic and multiwire news for QCD on the connection machine

    International Nuclear Information System (INIS)

    Brickner, R.G.

    1991-01-01

    Our collaboration has been running Wilson fermion QCD simulations on various Connection Machines for over a year and a half. During this time, we have continually optimized our code for operations found in the fermion matrix inversion. Our current version of the matrix inversion is written almost entirely in CMIS (Connection Machine Instruction Set), and utilizes both high-speed arithmetic and multiwire 'news' (nearest-neighbor communications). We present details of how these and other features of our code are implemented on the CM-2. (orig.)

  4. Sex differences in prefrontal hemodynamic response to mental arithmetic as assessed by near-infrared spectroscopy.

    Science.gov (United States)

    Yang, Hongyu; Wang, Ying; Zhou, Zhenyu; Gong, Hui; Luo, Qingming; Wang, Yiwen; Lu, Zuhong

    2009-12-01

    Sex differences in cognitive tasks have been widely investigated. With brain-imaging techniques, the functions of the brain during the performance of tasks can be examined. Mental arithmetic and near-infrared spectroscopy (NIRS) were used to assess sex differences in prefrontal area activation in a functional brain study. Healthy college students were recruited to perform 2 mental arithmetic tasks. In the first (easy) task, students had to subtract a 1-digit number from a 3-digit number. In the second (difficult) task, they had to subtract a 2-digit number from a 3-digit number. Changes in the concentration of oxygenated hemoglobin (oxy-Hgb) in the prefrontal area during the tasks were measured with NIRS. Thirty students (15 men, 15 women; mean [SD] age: 24.9 [2.2] and 24.3 [2.6] years, respectively) were recruited from Southeast University, Nanjing, China, to participate in the study. The concentration of oxy-Hgb increased during both mental arithmetic tasks (difficult task vs easy task, mean [SD] % arbitrary units: 4.36 [4.38] vs 2.26 [2.82]; F(1,28) = 222.80; P men and women were observed in the mean (SD) response time (men vs women, sec: 3.60 [0.74] vs 3.56 [0.49] for the easy task, 6.55 [0.77] vs 6.44 [0.75] for the difficult task; F(1,28) = 0.67; P = NS) or accuracy rate (men vs women, %: 95.33 [7.40] vs 92.77 [8.80] for the easy task, 62.67 [28.56] vs 54.67 [18.75] for the difficult task; F(1,28) = 0.54; P = NS). Male students showed neural efficiency (less prefrontal activation in subjects with better performance) during the difficult task. In these subjects, sex differences in prefrontal response when performing mental arithmetic were associated with the intensity of the task. Compared with men, women had greater efficiency in task performance (ie, less activation or oxygen consumption for equal performance). Copyright 2009 Excerpta Medica Inc. All rights reserved.

  5. Algorithmic solution of arithmetic problems and operands-answer associations in long-term memory.

    Science.gov (United States)

    Thevenot, C; Barrouillet, P; Fayol, M

    2001-05-01

    Many developmental models of arithmetic problem solving assume that any algorithmic solution of a given problem results in an association of the two operands and the answer in memory (Logan & Klapp, 1991; Siegler, 1996). In this experiment, adults had to perform either an operation or a comparison on the same pairs of two-digit numbers and then a recognition task. It is shown that unlike comparisons, the algorithmic solution of operations impairs the recognition of operands in adults. Thus, the postulate of a necessary and automatic storage of operands-answer associations in memory when young children solve additions by algorithmic strategies needs to be qualified.

  6. Adults' motivation of learning English as a second language

    Institute of Scientific and Technical Information of China (English)

    吴梦楠

    2005-01-01

    English learning is extensive among adults. Their motivations are classified into two types: the integrative one and the instrumental one.Obviously the integrative motivation makes the learners more active and joyful in learning process. Teachers find ways to cultivate and inspire the adult learners' motivation of learning L2, to design and deliver language instruction with care and sensitivity, and to assess rather than test the learners' learning for inducing a positive reaction.

  7. General and Specific Contributions of RAN to Reading and Arithmetic Fluency in First Graders: A Longitudinal Latent Variable Approach.

    Science.gov (United States)

    Hornung, Caroline; Martin, Romain; Fayol, Michel

    2017-01-01

    In the present study, we opted for a longitudinal design and examined rapid automatized naming (RAN) performance from two perspectives. In a first step, we examined the structure of RAN performance from a general cognitive perspective. We investigated whether rapid naming measures (e.g., digit RAN and color RAN) reflect a mainly domain-general factor or domain-specific factors. In a second step, we examined how the best fitting RAN model was related to reading and arithmetic outcomes, assessed several months later. Finally in a third step we took a clinical perspective and investigated specific contributions of RAN measures to reading and arithmetic outcomes. While RAN has emerged as a promising predictor of reading, the relationship between RAN and arithmetic has been less examined in the past. Hundred and twenty-two first graders completed seven RAN tasks, each comprising visually familiar stimuli such as digits, vowels, consonants, dice, finger-numeral configurations, objects, and colors. Four months later the same children completed a range of reading and arithmetic tasks. From a general descriptive perspective, structural equation modeling supports a one-dimensional RAN factor in 6- to -7-year-old children. However, from a clinical perspective, our findings emphasize the specific contributions of RANs. Interestingly, alphanumeric RANs (i.e., vowel RAN) were most promising when predicting reading skills and number-specific RANs (i.e., finger-numeral configuration RAN) were most promising when predicting arithmetic fluency. The implications for clinical and educational practices will be discussed.

  8. Weak task-related modulation and stimulus representations during arithmetic problem solving in children with developmental dyscalculia.

    Science.gov (United States)

    Ashkenazi, Sarit; Rosenberg-Lee, Miriam; Tenison, Caitlin; Menon, Vinod

    2012-02-15

    Developmental dyscalculia (DD) is a disability that impacts math learning and skill acquisition in school-age children. Here we investigate arithmetic problem solving deficits in young children with DD using univariate and multivariate analysis of fMRI data. During fMRI scanning, 17 children with DD (ages 7-9, grades 2 and 3) and 17 IQ- and reading ability-matched typically developing (TD) children performed complex and simple addition problems which differed only in arithmetic complexity. While the TD group showed strong modulation of brain responses with increasing arithmetic complexity, children with DD failed to show such modulation. Children with DD showed significantly reduced activation compared to TD children in the intraparietal sulcus, superior parietal lobule, supramarginal gyrus and bilateral dorsolateral prefrontal cortex in relation to arithmetic complexity. Critically, multivariate representational similarity revealed that brain response patterns to complex and simple problems were less differentiated in the DD group in bilateral anterior IPS, independent of overall differences in signal level. Taken together, these results show that children with DD not only under-activate key brain regions implicated in mathematical cognition, but they also fail to generate distinct neural responses and representations for different arithmetic problems. Our findings provide novel insights into the neural basis of DD. Copyright © 2011 Elsevier Ltd. All rights reserved.

  9. Understanding Employee Motivation.

    Science.gov (United States)

    Lindner, James R.

    1998-01-01

    Extension employees (n=23) ranked the following as the most important motivational factors: interesting work, good wages, appreciation, job security, and good working conditions. The findings were related to theories of motivation formulated by Herzberg, Adams, and Vroom. (SK)

  10. Motivation in medical education.

    Science.gov (United States)

    Pelaccia, Thierry; Viau, Rolland

    2017-02-01

    Motivation is a concept which has fascinated researchers for many decades. The field of medical education has become interested in motivation recently, having always assumed that medical students must be motivated because of their commitment to highly specific training, leading to a very specific profession. However, motivation is a major determinant of the quality of learning and success, the lack of which may well explain why teachers sometimes observe medical students who are discouraged, have lost interest or abandon their studies, with a feeling of powerlessness or resignation. After describing the importance of motivation for learning in medicine, this Guide will define the concept of motivation, setting it within the context of a social cognitive approach. In the second part of this Guide, recommendations are made, based upon the so-called "motivational dynamic model", which provides a multitude of various strategies with positive effects on students' motivation to learn.

  11. Motivating pharmacy employees.

    Science.gov (United States)

    White, S J; Generali, J A

    1984-07-01

    Concepts from theories of motivation are used to suggest methods for improving the motivational environment of hospital pharmacy departments. Motivation--the state of being stimulated to take action to achieve a goal or to satisfy a need--comes from within individuals, but hospital pharmacy managers can facilitate motivation by structuring the work environment so that it satisfies employees' needs. Concepts from several theories of motivation are discussed, including McGregor's theory X and theory Y assumptions, Maslow's hierarchy of needs theory, Herzberg's motivation hygiene theory, and Massey's value system theory. Concepts from the Japanese style of management that can be used to facilitate motivation, such as quality circles, also are described. The autocratic, participative, and laissez faire styles of leadership are discussed in the context of the motivation theories, and suggested applications of theoretical concepts to practice are presented.

  12. The social motivation theory of autism.

    Science.gov (United States)

    Chevallier, Coralie; Kohls, Gregor; Troiani, Vanessa; Brodkin, Edward S; Schultz, Robert T

    2012-04-01

    The idea that social motivation deficits play a central role in Autism Spectrum Disorders (ASD) has recently gained increased interest. This constitutes a shift in autism research, which has traditionally focused more intensely on cognitive impairments, such as theory-of-mind deficits or executive dysfunction, and has granted comparatively less attention to motivational factors. This review delineates the concept of social motivation and capitalizes on recent findings in several research areas to provide an integrated account of social motivation at the behavioral, biological and evolutionary levels. We conclude that ASD can be construed as an extreme case of diminished social motivation and, as such, provides a powerful model to understand humans' intrinsic drive to seek acceptance and avoid rejection. Copyright © 2012 Elsevier Ltd. All rights reserved.

  13. Strong intrinsic motivation

    OpenAIRE

    Dessi, Roberta; Rustichini, Aldo

    2015-01-01

    A large literature in psychology, and more recently in economics, has argued that monetary rewards can reduce intrinsic motivation. We investigate whether the negative impact persists when intrinsic motivation is strong, and test this hypothesis experimentally focusing on the motivation to undertake interesting and challenging tasks, informative about individual ability. We find that this type of task can generate strong intrinsic motivation, that is impervious to the effect of monetary incen...

  14. Motivation in medical students

    OpenAIRE

    Kusurkar, R.A.

    2012-01-01

    Introduction The importance of motivation in learning behaviour and education is well-researched and proven in general education, but much less in medical education. There is sometimes focus on increasing the quantity of motivation, but the how and why need more evidence. The aims of this thesis were to gather insights and investigate medical students’ motivation, particularly the importance of quality of motivation, factors influencing and outcomes and to explore how these can be applied to ...

  15. Motivation and career development

    OpenAIRE

    Flemr, Marcel

    2009-01-01

    The main objective of this diploma thesis is to outline various theories of work motivation, career growth and their practical application in sales team management within a sales organization. In the theoretical part the paper deals with the definition of essential terms including but not limited to motivation, work motivation, career and work career. Moreover, it focuses on selected motivational theories, basic criteria and current principles of managing the work career, career growth and de...

  16. Motivering van spoorbaaninstandhoudingstoesighouers

    OpenAIRE

    2015-01-01

    M.Com. (Business Management) Personnel motivation is one of management's most important tasks, but due to a lack of understanding of the nature of motivation, it is also frequently neglected resulting in losses to the organisation. The purpose of this document was to perform a motivation study on the supervisory staff of a railway maintenance depot. With the results of this study the cause of the low level of motivation was determined, followed by recommendations to management in order to ...

  17. Unges motivation i udskolingen

    DEFF Research Database (Denmark)

    Pless, Mette; Katznelson, Noemi; Hjort-Madsen, Peder

    Om hvordan de unge i udskolingen skaber lyst og motivation for læring. Med afsnit om hvad motivation er, hvordan den fremmes hos unge og kombineres med et liv udenfor skolen......Om hvordan de unge i udskolingen skaber lyst og motivation for læring. Med afsnit om hvad motivation er, hvordan den fremmes hos unge og kombineres med et liv udenfor skolen...

  18. Different groups, different motives: identity motives underlying changes in identification with novel groups.

    Science.gov (United States)

    Easterbrook, Matt; Vignoles, Vivian L

    2012-08-01

    Social identification is known to have wide-reaching implications, but theorists disagree about the underlying motives. Integrating motivated identity construction theory with recent social identity research, the authors predicted which motives underlie identification with two types of groups: interpersonal networks and social categories. In a five-wave longitudinal study of social identity processes among 268 new university residents, multilevel analyses showed that motives involved in identity enactment processes--self-esteem, belonging, and efficacy--significantly predicted within-person changes in identification with flatmates (an interpersonal network group), whereas motives involved in identity definition processes--meaning, self-esteem, and distinctiveness--significantly predicted within-person changes in identification with halls of residence (an abstract social category). This article discusses implications for research into identity motives and social identity.

  19. Understanding Student Motivation

    Science.gov (United States)

    Seifert, Timothy

    2004-01-01

    Contemporary theories of academic motivation seek to explain students' behaviours in academic settings. While each theory seems to possess its own constructs and unique explanations, these theories are actually closely tied together. In this theoretical study of motivation, several theories of motivation were described and an underlying theme of…

  20. Theme: Motivating Students.

    Science.gov (United States)

    Gartin, Stacy A.; And Others

    1993-01-01

    Includes "How Do I Turn Your Crank to Get You Going?" (Gartin); "How Do You Say 'I Don't Know' and Not Feel Guilty?" (Dickson); "Basics of Motivation" (Rankin); "Challenge to Lead Motivates Students" (D'Haem, Krueger); "Don't Just Tell Me, Teach Me!" (Custer, Leugers); "The 'I' in Motivation" (Woody); and "Student Self Discipline Scale" (Coffman).…