TEACHING MATHEMATICAL DISCIPLINES AT THE MEDICAL UNIVERSITY
Directory of Open Access Journals (Sweden)
V. Ya. Gelman
2018-01-01
Full Text Available Introduction.In programs of training of students of medical specialties, Mathematics is a subject of basic education, i.e. non-core discipline. However, studying Mathematics is extremely important for future physicians, as recently there has been an impetuous development of mathematization in the field of health care. Today, a set of the new medical devices, the equipment and high technologies are being developed based on the mathematical modeling, analysis and forecasting. Mathematical methods are widely applied to diagnostics, development of life-support systems and the description of various biological processes both at the molecular level, and at the level of a whole organism, its systems, bodies and tissues. The solution of many medical tasks in the field of taxonomy, genetics, and organization of medical service is impossible without knowledge of mathematics. Unfortunately, along with the evident importance of mathematical preparation for a medical profession, its need is poorly realized not only by junior students, but even by some teachers of specialized departments of medical schools.The aim of the publication is to discuss the problems that arise in the teaching of mathematical disciplines to students at a medical school and to suggest possible solutions to these problems.Methodology and research methods. The study is based on the use of modeling of the educational process. The methods of analysis, generalization and the method of expert assessments were applied in the course of the research.Results and scientific novelty. The aspects of mathematical preparation at the university are considered on the basis of the application of the multiplicative model of training quality. It is shown that the main students’ learning difficulties in Mathematics are connected with the following factors: the initial level of mathematical preparation of students and their motivation; outdated methods of Mathematics teaching and academic content
Physics and Mathematics as Interwoven Disciplines in Science Education
Galili, Igal
2018-03-01
The relationship between physics and mathematics is reviewed upgrading the common in physics classes' perspective of mathematics as a toolkit for physics. The nature of the physics-mathematics relationship is considered along a certain historical path. The triadic hierarchical structure of discipline-culture helps to identify different ways in which mathematics is used in physics and to appreciate its contribution, to recognize the difference between mathematics and physics as disciplines in approaches, values, methods, and forms. We mentioned certain forms of mathematical knowledge important for physics but often missing in school curricula. The geometrical mode of codification of mathematical knowledge is compared with the analytical one in context of teaching school physics and mathematics; their complementarity is exemplified. Teaching may adopt the examples facilitating the claims of the study to reach science literacy and meaningful learning.
Bridging different perspectives of the physiological and mathematical disciplines.
Batzel, Jerry Joseph; Hinghofer-Szalkay, Helmut; Kappel, Franz; Schneditz, Daniel; Kenner, Thomas; Goswami, Nandu
2012-12-01
The goal of this report is to discuss educational approaches for bridging the different perspectives of the physiological and mathematical disciplines. These approaches can enhance the learning experience for physiology, medical, and mathematics students and simultaneously act to stimulate mathematical/physiological/clinical interdisciplinary research. While physiology education incorporates mathematics, via equations and formulas, it does not typically provide a foundation for interdisciplinary research linking mathematics and physiology. Here, we provide insights and ideas derived from interdisciplinary seminars involving mathematicians and physiologists that have been conducted over the last decade. The approaches described here can be used as templates for giving physiology and medical students insights into how sophisticated tools from mathematics can be applied and how the disciplines of mathematics and physiology can be integrated in research, thereby fostering a foundation for interdisciplinary collaboration. These templates are equally applicable to linking mathematical methods with other life and health sciences in the educational process.
Didactics of mathematics as a scientific discipline
National Research Council Canada - National Science Library
Biehler, Rolf
1994-01-01
... knowledge Rainer Bromme 73 Dialogue between theory and practice in mathematics education Heinz Steinbring 89 On the application of science to teaching and teacher education Thomas J. Cooney 103 3. INTERACTION IN THE CLASSROOM Introduction Rudolf Sträßer 117 Theoretical and empirical approaches to classroom interaction Maria G. Bartolini Bussi 121 Theo...
Directory of Open Access Journals (Sweden)
Miсhaеl Lvov
2016-02-01
Full Text Available The article is devoted to interdisciplinary communication in the process of preparation of the future programmers and implementation of the basic principles of these relations in the study of disciplines of professional and practical training and math courses. The article deals with the role of interdisciplinary connections, as well as their function and significance for the formation of cognitive activity, independence and positive learning motivation. The focus is on methodological aspects of realization of interdisciplinary communications at studying basic disciplines of training future programmers and disciplines of mathematical cycle. In particular, the issues of realization of interdisciplinary communications during the study such disciplines as "Computer graphics, computational geometry," "Basics of algorithms and programming", "Programming Technologies" and the course "Analytical geometry and linear algebra", which included in to normative part of the training of programmers. This article describes the theoretical aspects of the implementation of interdisciplinary connections in the study of these disciplines, as well as examples of practical tasks with which these relationships can be implemented most effectively during training
Teachers’ beliefs about the discipline of mathematics and the use of technology in the classroom
DEFF Research Database (Denmark)
Misfeldt, Morten; Thomas Jankvist, Uffe; Sánchez Arguilar, Mario
2016-01-01
In the article, three Danish secondary level mathematics teachers’ beliefs about the use of technological tools in the teaching of mathematics and their beliefs about mathematics as a scientific discipline are identified and classified - and the process also aspects of their beliefs about...... the teaching and learning of mathematics. The potential relationships between these sets of beliefs are also explored. Results show that the teachers not only manifest different beliefs about the use of technology and mathematics as a discipline, but that one set of beliefs can influence the other set...... of beliefs. The article concludes with a discussion of the research findings and their validity as well as their implications for both practice and research in mathematics education....
Dishauzi, Karen M.
Extensive research exists on female, African American, and Hispanic students pursuing Science, Technology, Engineering and Mathematics (STEM) field disciplines. However, little research evaluates students with disabilities and career decision-making relating to STEM field disciplines. This study explored the career decision-making experiences and self-efficacy for students with disabilities. The purpose of this research study was to document experiences and perceptions of students with disabilities who pursue, and may consider pursuing, careers in the STEM field disciplines by exploring the career decision-making self-efficacy of students with disabilities. This study documented the level of influence that the students with disabilities had or may not have had encountered from parents, friends, advisors, counselors, and instructors as they managed their decision-making choice relating to their academic major/career in the STEM or non-STEM field disciplines. A total of 85 respondents of approximately 340 students with disabilities at one Midwestern public university completed a quantitatively designed survey instrument. The Career Decision-Making Self-Efficacy Scale-Short Form by Betz and Hackett was the instrument used, and additional questions were included in the survey. Data analysis included descriptive statistics and analysis of variance. Based upon the results, college students with disabilities are not currently being influenced by individuals and groups of individuals to pursue the STEM field disciplines. This is a cohort of individuals who can be marketed to increase enrollment in STEM programs at academic institutions. This research further found that gender differences at the institution under study did not affect the career decision-making self-efficacy scores. The men did not score any higher in confidence in career decision-making than the women. Disability type did not significantly affect the relationship between the Career Decision-Making Self
D. Shchedrolosev
2010-01-01
Fundamental mathematical background is an important part of training future engineers and programmers. The paper considers existing approaches to teaching the fundamentals of discrete mathematics specialist IT profile, a comparative analysis of modern textbooks on discrete mathematics for IT professionals was conducted
Directory of Open Access Journals (Sweden)
D. Shchedrolosev
2010-04-01
Full Text Available Fundamental mathematical background is an important part of training future engineers and programmers. The paper considers existing approaches to teaching the fundamentals of discrete mathematics specialist IT profile, a comparative analysis of modern textbooks on discrete mathematics for IT professionals was conducted
Directory of Open Access Journals (Sweden)
Vita Horbach
2016-09-01
Full Text Available The article analyzes the types of independent work of students in higher school and determines the most appropriate ones for the students majoring in economics during their study of mathematical disciplines. There have been defined training and professional skills, which a future economist will gain in the process of self-study of mathematical disciplines. These skills have been proved to be the most determinative in formation of professional independence as a basic quality of a future economist. The scheme which reveals the relationship of classification bases of self work with its forms and types as well as educational skills which are formed in the course of its implementation to be transformed in the future into professional skills of economists has been worked out. It has been highlighted that the use of these types of self work will help create optimal conditions for efficient management of training and learning activities of students of economic specialties in the study of mathematical disciplines.
Boundary crossing and brokering between disciplines in pre-service mathematics teacher education
Goos, Merrilyn; Bennison, Anne
2017-12-01
In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.
Mathematics of flexible risers including pressure and internal flow affects
Energy Technology Data Exchange (ETDEWEB)
Seyed, F.B. (John Brown Engineers and Constructors Ltd., London (GB)); Patel, M.H. (University Coll., London (GB). Dept. of Mechanical Engineering)
1992-01-01
Derivations are presented for calculation of pressure and internal flow induced forces on flexible risers and other curved pipes using a mathematically rigorous approach. Approximate and exact methods are presented for calculation of pressure forces on straight and curved pipes in two dimensions. The mathematical identity of these equations with those for effective tension is illustrated. The force arising from the flow of an internal fluid of constant density is then calculated and combined with those for pressure forces in derivation of the catenary equations including pressure and internal flow terms. It is shown that internal flow contributes a new term to the expression for effective tension. These governing equations are then reduced for the specific cases of simple catenary, steep-S, lazy-S, steep-wave and lazy-wave risers. In each case, the solution method has been presented and the governing equilibrium and geometric compatability conditions cited. (author).
Brown, Gavin
2009-01-01
The Reference Committee firmly shares the view that the state of the mathematical sciences and related quantitative disciplines in Australia has deteriorated to a dangerous level, and continues to deteriorate. Accordingly the author decided to structure this Report around a small number of recommendations, some long term and others to address…
Directory of Open Access Journals (Sweden)
Natividad Adamuz-Povedano
2013-03-01
Full Text Available Some social sciences become very complex due to de links and specific connexions with some others disciplines. This fact explains the necessity of identifying which are the main descriptors or keywords that characterize unequivocally their scientific production. One example of this is the case of mathematics education. This case is also special due to the existing ambiguity in the identification of validated keywords for it. Thus, it becomes necessary to establish a list of descriptors that characterize a research article as a Mathematics Education one. We present a methodology to obtain a core descriptors list for accessing to the Mathematic Education articles published in journals indexed by both the Web of Sciences (WoS and SCOPUS databases during a period of time of 30 years, since 1980 up to 2009.
Jackson, Deborah C.; Johnson, Elizabeth D.
2013-01-01
The problem of students entering university lacking basic mathematical skills is a critical issue in the Australian higher-education sector and relevant globally. The Maths Skills programme at La Trobe University has been developed to address under preparation in the first-year science cohort in the absence of an institutional mathematics support…
Maria Kikila; Ioannis Koutelekos
2012-01-01
Child discipline is one of the most important elements of successful parenting. As discipline is defined the process that help children to learn appropriate behaviors and make good choices. Aim: The aim of the present study was to review the literature about the discipline methods. The method οf this study included bibliography research from both the review and the research literature, mainly in the pubmed data base which referred to the discipline methods. Results: In the literature it is ci...
Tra, Yolande V.; Evans, Irene M.
2010-01-01
"BIO2010" put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on…
Hogue, Barbara A.
Research into women's underrepresentation in science, technology, engineering, and mathematics (STEM) disciplines has become a topic of interest due to the increasing need for employees with technical expertise and a shortage of individuals to fill STEM jobs. The discrepancy in women's representation between STEM and other fields cannot adequately be explained by factors such as women's need to balance work and family (medicine and law are both extremely demanding careers), women's fear of competition (admissions into medical and law schools are highly competitive), or women's inability to excel in science (e.g., entry into medicine requires excellent achievement in the basic sciences). The purpose of this study is to gain a deeper understanding of the role and/or impact a sense of belonging has inside and outside of STEM classrooms. Research questions focused on the role and/or impact of belonging contributes to students' self-efficacy beliefs as a STEM major. Bandura's self-efficacy theory serves as the theoretical framework. Data sources include close-ended surveys of 200 sophomore- and junior-level college students majoring in a STEM discipline. A quantitative exploratory approach allowed participants' responses to be analyzed using both correlation and multiple regression analyses to understand whether a student's sense of belonging is associated with his or her self-efficacy beliefs. Findings suggested that positive support systems impact students' self-efficacy and play a role in fostering students' motivation and decision to major in STEM disciplines. This study contributes to positive social change by providing empirical evidence faculty and administrators may use to promote university-based STEM support programs reflecting the impact belonging has on students' self-efficacy and potentially increasing the number of students majoring in STEM disciplines.
Peiris, T. S. G.; Nanayakkara, K. A. D. S. A.
2017-09-01
Mathematics plays a key role in engineering sciences as it assists to develop the intellectual maturity and analytical thinking of engineering students and exploring the student academic performance has received great attention recently. The lack of control over covariates motivates the need for their adjustment when measuring the degree of association between two sets of variables in Canonical Correlation Analysis (CCA). Thus to examine the individual effects of mathematics in Level 1 and Level 2 on engineering performance in Level 2, two adjusted analyses in CCA: Part CCA and Partial CCA were applied for the raw marks of engineering undergraduates for three different disciplines, at the Faculty of Engineering, University of Moratuwa, Sri Lanka. The joint influence of mathematics in Level 1 and Level 2 is significant on engineering performance in Level 2 irrespective of the engineering disciplines. The individual effect of mathematics in Level 2 is significantly higher compared to the individual effect of mathematics in Level 1 on engineering performance in Level 2. Furthermore, the individual effect of mathematics in Level 1 can be negligible. But, there would be a notable indirect effect of mathematics in Level 1 on engineering performance in Level 2. It can be concluded that the joint effect of mathematics in both Level 1 and Level 2 is immensely beneficial to improve the overall academic performance at the end of Level 2 of the engineering students. Furthermore, it was found that the impact mathematics varies among engineering disciplines. As partial CCA and partial CCA are not widely explored in applied work, it is recommended to use these techniques for various applications.
Serin, Mehmet Koray; Incikabi, Semahat
2017-01-01
Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…
Mathematical model of thyristor inverter including a series-parallel resonant circuit
Luft, M.; Szychta, E.
2008-01-01
The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with the aid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.
Mathematical Model of Thyristor Inverter Including a Series-parallel Resonant Circuit
Miroslaw Luft; Elzbieta Szychta
2008-01-01
The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with theaid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.
Mathematical Model of Thyristor Inverter Including a Series-parallel Resonant Circuit
Directory of Open Access Journals (Sweden)
Miroslaw Luft
2008-01-01
Full Text Available The article presents a mathematical model of thyristor inverter including a series-parallel resonant circuit with theaid of state variable method. Maple procedures are used to compute current and voltage waveforms in the inverter.
Maximilien Brice
2012-01-01
9 July 2012 - Academy of Sciences Malaysia (ASM), Chairman, Mathematical and Physical Sciences Discipline Group M. Yahaya FASc and his delegation visiting the LHC superconducting magnet test hall with Technology Department G. De Rijk.
Ezra, Elishai; Nahmias, Yaakov
2015-01-01
The advent of integrated multidisciplinary research has given rise to some of the most important breakthroughs of our time, but has also set significant challenges to the current educational paradigm. Current academic education often limits cross-discipline discussion, depends on close-ended problems, and restricts utilization of interdisciplinary…
Directory of Open Access Journals (Sweden)
Ronny Gamboa-Araya
2016-01-01
Full Text Available Problems associated with teaching and learning mathematics have been a recurrent concern in several countries. The affective domain of students, in this context, has emerged as a relevant element that allows explaining some aspects of those problems. The need to explore in more detail the influence of teachers in the affective domain of students arises from this perspective, since what he/she does in the classroom could help strengthen or modify the attitudes and beliefs of students. This article aims to point out issues related to the affective domain in mathematics that have influenced teaching and learning the discipline, as well as the need to address them from the teaching staff perception. The purpose is to modify their work and encourage an image change of the discipline through their daily work. For this matter, conclusions of different investigations are presented showing the role of the affective domain, the influence of teaching staff and the need to carry out further research on the role of teachers.
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research projects involving students and faculty in biology, physics, mathematics, and computer science and how each contributed in significant ways to the conception and implementation of our new Integrated Quantitative Science course, a course for first-year students that integrates the material in the first course of the major in each of biology, chemistry, mathematics, computer science, and physics.
Eringen, A Cemal
2013-01-01
Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was…
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research proj...
Schmuck, Claudine
2017-01-01
This book presents the findings of a survey that analyzes a unique set of data in science and technolog and provides a clear and simple synthesis of heterogeneous databases on the gender gap in the STEM (Science, Technology, Engineering and Mathematics) setting, helping readers understand key trends and developments. The need for more women in innovative fields, particularly with regard to STEM-based innovations, has now been broadly recognized. The book provides insights into both the education and employment of women in STEM. It investigates how the gender gap has evolved among STEM graduates and professionals around the world, drawing on specific data from public and private databases. As such, the book provides readers an understanding of how the so-called ‘leaky pipeline’ operates, and of how more women than men drop out of STEM studies and jobs by geographical area.
Virdi, Surinder; Virdi, Narinder Kaur
2014-01-01
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in...
Desoer, C. A.; Polak, E.; Zadeh, L. A.
1974-01-01
A series of research projects is briefly summarized which includes investigations in the following areas: (1) mathematical programming problems for large system and infinite-dimensional spaces, (2) bounded-input bounded-output stability, (3) non-parametric approximations, and (4) differential games. A list of reports and papers which were published over the ten year period of research is included.
Quotable Quotes in Mathematics
Lo, Bruce W. N.
1983-01-01
As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)
Mathematical foundations of thermodynamics
Giles, R; Stark, M; Ulam, S
2013-01-01
Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodyn
International Nuclear Information System (INIS)
Woesler, Richard
2007-01-01
The computations of the present text with non-relativistic quantum teleportation equations and special relativity are totally speculative, physically correct computations can be done using quantum field theory, which remain to be done in future. Proposals for what might be called statistical time loop experiments with, e.g., photon polarization states are described when assuming the simplified non-relativistic quantum teleportation equations and special relativity. However, a closed time loop would usually not occur due to phase incompatibilities of the quantum states. Histories with such phase incompatibilities are called inconsistent ones in the present text, and it is assumed that only consistent histories would occur. This is called an exclusion principle for inconsistent histories, and it would yield that probabilities for certain measurement results change. Extended multiple parallel experiments are proposed to use this statistically for transmission of classical information over distances, and regarding time. Experiments might be testable in near future. However, first a deeper analysis, including quantum field theory, remains to be done in future
DEFF Research Database (Denmark)
Kristensen, Peter Marcus
2016-01-01
that the stocktaking genre — past and present — is conducive to seeing the past as more simple, coherent and ordered while the present is marked by fragmentation and cacophony. Neat summaries of the academic scene in one’s own time are quite rare. Few stocktakers ever identified one conversation/debate driving...... the discipline, not during the first, second, third or fourth debates — and those who did disagreed on what the main trenches and its warriors were. The article concludes by arguing that International Relations’ recurrent anxieties about its fragmentation beg questions, not about whether it is real this time...
Mathematical Model of Two Phase Flow in Natural Draft Wet-Cooling Tower Including Flue Gas Injection
Directory of Open Access Journals (Sweden)
Hyhlík Tomáš
2016-01-01
Full Text Available The previously developed model of natural draft wet-cooling tower flow, heat and mass transfer is extended to be able to take into account the flow of supersaturated moist air. The two phase flow model is based on void fraction of gas phase which is included in the governing equations. Homogeneous equilibrium model, where the two phases are well mixed and have the same velocity, is used. The effect of flue gas injection is included into the developed mathematical model by using source terms in governing equations and by using momentum flux coefficient and kinetic energy flux coefficient. Heat and mass transfer in the fill zone is described by the system of ordinary differential equations, where the mass transfer is represented by measured fill Merkel number and heat transfer is calculated using prescribed Lewis factor.
Stein, Sherman K
2010-01-01
Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi
What Is Our First Philosophy in Mathematics Education?
Ernest, Paul
2012-01-01
What are the theoretical foundations of mathematics education? Recently disciplines other than mathematics and psychology have grown in importance, including philosophy. But which branch of philosophy is the most fundamental for mathematics education? In this article, I consider the claims of five branches of philosophy to be our "first…
The Unit of Analysis in Mathematics Education: Bridging the Political-Technical Divide?
Ernest, Paul
2016-01-01
Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…
The science of computing shaping a discipline
Tedre, Matti
2014-01-01
The identity of computing has been fiercely debated throughout its short history. Why is it still so hard to define computing as an academic discipline? Is computing a scientific, mathematical, or engineering discipline? By describing the mathematical, engineering, and scientific traditions of computing, The Science of Computing: Shaping a Discipline presents a rich picture of computing from the viewpoints of the field's champions. The book helps readers understand the debates about computing as a discipline. It explains the context of computing's central debates and portrays a broad perspecti
International Nuclear Information System (INIS)
Demazure, M.
1988-01-01
The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr
Authentic Teaching Experiences in Secondary Mathematics Methods
Stickles, Paula R.
2015-01-01
Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…
Kim, Sun Bean; Yoon, Myoungho; Ku, Nam Su; Kim, Min Hyung; Song, Je Eun; Ahn, Jin Young; Jeong, Su Jin; Kim, Changsoo; Kwon, Hee-Dae; Lee, Jeehyun; Smith, Davey M; Choi, Jun Yong
2014-01-01
Multiple prevention measures have the possibility of impacting HIV incidence in South Korea, including early diagnosis, early treatment, and pre-exposure prophylaxis (PrEP). We investigated how each of these interventions could impact the local HIV epidemic, especially among men who have sex with men (MSM), who have become the major risk group in South Korea. A mathematical model was used to estimate the effects of each these interventions on the HIV epidemic in South Korea over the next 40 years, as compared to the current situation. We constructed a mathematical model of HIV infection among MSM in South Korea, dividing the MSM population into seven groups, and simulated the effects of early antiretroviral therapy (ART), early diagnosis, PrEP, and combination interventions on the incidence and prevalence of HIV infection, as compared to the current situation that would be expected without any new prevention measures. Overall, the model suggested that the most effective prevention measure would be PrEP. Even though PrEP effectiveness could be lessened by increased unsafe sex behavior, PrEP use was still more beneficial than the current situation. In the model, early diagnosis of HIV infection was also effectively decreased HIV incidence. However, early ART did not show considerable effectiveness. As expected, it would be most effective if all interventions (PrEP, early diagnosis and early treatment) were implemented together. This model suggests that PrEP and early diagnosis could be a very effective way to reduce HIV incidence in South Korea among MSM.
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Мария Владимировна Морозова
2012-09-01
Full Text Available This article contains structural elements of the methodology for formation of personal information culture in the study of mathematics for the specialty «State and municipal management» (on the subject «Methods of decision-making».
Hannes, K; Goedhuys, J; Aertgeerts, B
2012-01-01
A number of barriers to the implementation of evidence-based practice have already been inventoried. However, little attention has been given to their context-specific nature. This qualitative evidence synthesis examines commonalities in the obstacles perceived by different groups of health care practitioners working in the Belgian health care system and sets out to discuss potential strategies to bridge some of these barriers. We actively searched for primary studies addressing our topic of interest in international and national databases (1990 to May 2008), consulted experts and screened references of retrieved studies. We opted for the meta-aggregative approach, developed by the Joanna Briggs Institute, to analyse our findings. The findings indicate that (1) evidence might have a limited role in decision-making processes; (2) aspects other than quality of care steer the evidence-based practice agenda; (3) some health care providers benefit less from evidence-based practice than others and (4) there is a lack of competences to put the evidence-based principles in practice. Belgian policy makers might consider health care system characteristics from and strategies developed or suggested by others to respond to country-specific obstacles. Examples include but are not limited to; (a) providing incentives for patient-centred care coordination and patient communication, (b) supporting practitioners interested in applying research-related activities, (c) considering direct access systems and interprofessional learning to respond to the demand for autonomous decision-making from satellite professional groups, (d) systematically involving allied health professionals in important governmental advisory boards, (e) considering pharmaceutical companies perceived as 'the enemy' an ally in filling in research gaps, (f) embedding the evaluation of evidence-based knowledge and skills in examinations (g) moving from (in)formative learning to transformative learning and (h
Descartes’s mathematical thought
Sasaki, Chikara
2003-01-01
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Brady, Marion
1993-01-01
Traditional academic disciplines are not best available tools for teaching about reality. The concept of human survival provides an overarching aim for a general education curriculum. Survival information includes knowledge about our physical environment; inherent human characteristics and capabilities; the ideas, beliefs, and values underlying…
Directory of Open Access Journals (Sweden)
Yinghui Lai
Full Text Available Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA and mathematical metacognition on word problem solving (WPS. We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56 with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA, typical achieving (TA, low achieving (LA, and mathematical learning difficulty (MLD. Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA than the TA and HA children, but not in mathematical evaluation anxiety (MEA. MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.
Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun
2015-01-01
Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.
Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun
2015-01-01
Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions. PMID:26090806
Eggleton, Travis
Discipline is a necessary ingredient for any successful school. Every teacher and school has a particular style and technique of discipline. This paper examines effective discipline strategies that help maintain school discipline. Classroom management, in school and out of school suspensions, alternative schooling, corporal punishment, and…
Mathematical methods for physicists and engineers
Collins, Royal Eugene
2011-01-01
This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor. Topics include elementary vector calculus, matrix algebra, and linear vector operations; the many and varied methods of solving linear boundary value problems, including the more common special functions o
Geiger, Vince; Mulligan, Joanne; Date-Huxtable, Liz; Ahlip, Rehez; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian
2018-01-01
In this article we describe and evaluate processes utilized to develop an online learning module on mathematical modelling for pre-service teachers. The module development process involved a range of professionals working within the STEM disciplines including mathematics and science educators, mathematicians, scientists, in-service and pre-service…
Perspectives on Parent Discipline and Child Outcomes
Grusec, Joan E.; Danyliuk, Tanya; Kil, Hali; O'Neill, David
2017-01-01
Effective discipline involves the use of negative consequences, including reasoning as well as modest levels of power assertion, to discourage unacceptable behavior. A brief history of changing views of discipline is presented and recent positions outlined. Successful discipline requires the imposition of clear and consistent rules, autonomy…
Social Mathematics and Media: Using Pictures, Maps, Charts, and Graphs. Media Corner.
Braun, Joseph A., Jr., Ed.
1993-01-01
Asserts that integrating disciplines is a goal of elementary social studies education. Presents a bibliographic essay describing instructional materials that can be used to integrate mathematics and social studies. Includes recommended photograph packages, computer databases, and data interpretation packages. (CFR)
Revilla, Marta; Galán, Berta; Viguri, Javier R
2016-07-01
An integrated mathematical model is proposed for modelling a moving bed biofilm reactor (MBBR) for removal of chemical oxygen demand (COD) under aerobic conditions. The composite model combines the following: (i) a one-dimensional biofilm model, (ii) a bulk liquid model, and (iii) biological processes in the bulk liquid and biofilm considering the interactions among autotrophic, heterotrophic and predator microorganisms. Depending on the values for the soluble biodegradable COD loading rate (SCLR), the model takes into account a) the hydrolysis of slowly biodegradable compounds in the bulk liquid, and b) the growth of predator microorganisms in the bulk liquid and in the biofilm. The integration of the model and the SCLR allows a general description of the behaviour of COD removal by the MBBR under various conditions. The model is applied for two in-series MBBR wastewater plant from an integrated cellulose and viscose production and accurately describes the experimental concentrations of COD, total suspended solids (TSS), nitrogen and phosphorous obtained during 14 months working at different SCLRs and nutrient dosages. The representation of the microorganism group distribution in the biofilm and in the bulk liquid allow for verification of the presence of predator microorganisms in the second reactor under some operational conditions. Copyright © 2016 Elsevier Ltd. All rights reserved.
Mathematics and Computation in Music
DEFF Research Database (Denmark)
The 5th Biennial International Conference for Mathematics and Computation in Music (MCM 2015) took place June 22–25, 2015, at Queen Mary University of London, UK, co-hosted by the School of Electronic Engineering and Computer Science (Centre for Digital Music) and the School of Mathematical...... Sciences. As the flagship conference of the Society for Mathematics and Computation in Music (SMCM), MCM 2015 provided a dedicated platform for the communication and exchange of ideas among researchers in mathematics, informatics, music theory, composition, musicology, and related disciplines. It brought...... together researchers from around the world who combine mathematics or computation with music theory, music analysis, composition, and performance. This year’s program – full details at http://mcm2015.qmul.ac.uk – featured a number of distinguished keynote speakers, including Andrée Ehresmann (who spoke...
Telep, Valya Goodwin, 1955-
2009-01-01
This series of lessons was prepared for parents like you - parents who want to do a better job of disciplining their children. The lessons were especially written for parents of preschool children, ages two to six, but some of the discipline methods are appropriate for older children, too. This lesson focuses on a general overview of discipline.
Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian
Lim, Chap Sam
2007-06-01
The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.
Parents' common pitfalls of discipline.
Witoonchart, Chatree; Fangsa-ard, Thitiporn; Chaoaree, Supamit; Ketumarn, Panom; Kaewpornsawan, Titawee; Phatthrayuttawat, Sucheera
2005-11-01
Problems of discipline are common among parents. These may be the results of the parents' pitfalls in disciplining their children. To find out common pitfalls of parents in disciplining their children. Parents of students with ages ranged between 60-72 months old in Bangkok-Noi district, Bangkok, were selected by random sampling. Total number of 1947 children ages between 60-72 months were recruited. Parents of these children were interviewed with a questionnaire designed to probe into problems in child rearing. There hindered and fifty questionnaires were used for data analyses. Parents had high concerns about problems in discipline their children and needed support from professional personnel. They had limited knowledge and possessed lots of wrong attitude towards discipline. Common pitfalls on the topics were problems in, 1) limit setting 2) rewarding and punishment 3) supervision on children watching TV and bedtime routines. Parents of children with ages 60-72 months old in Bangkok-Noi district, Bangkok, had several common pitfalls in disciplining their children, including attitude, knowledge and practice.
Nuclear medicine and mathematics
Energy Technology Data Exchange (ETDEWEB)
Pedroso de Lima, J.J. [Dept. de Biofisica e Proc. de Imagem, IBILI - Faculdade de Medicina, Coimbra (Portugal)
1996-06-01
The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new `allies` of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)
Nuclear medicine and mathematics
International Nuclear Information System (INIS)
Pedroso de Lima, J.J.
1996-01-01
The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new 'allies' of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)
Mathematical Sciences in Australia
Thomas, Jan; Muchatuta, Michelle; Wood, Leigh
2009-01-01
This article investigates enrolment trends in mathematical sciences in Australian universities. Data has been difficult to extract and the coding for mathematical disciplines has made investigation challenging. We show that the number of mathematics major undergraduates in Australia is steadily declining though the number studying…
Mathematics, the Computer, and the Impact on Mathematics Education.
Tooke, D. James
2001-01-01
Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)
Directory of Open Access Journals (Sweden)
Moonen Marie
2011-09-01
Full Text Available Abstract Background Valve dysfunction is a common cardiovascular pathology. Despite significant clinical research, there is little formal study of how valve dysfunction affects overall circulatory dynamics. Validated models would offer the ability to better understand these dynamics and thus optimize diagnosis, as well as surgical and other interventions. Methods A cardiovascular and circulatory system (CVS model has already been validated in silico, and in several animal model studies. It accounts for valve dynamics using Heaviside functions to simulate a physiologically accurate "open on pressure, close on flow" law. However, it does not consider real-time valve opening dynamics and therefore does not fully capture valve dysfunction, particularly where the dysfunction involves partial closure. This research describes an updated version of this previous closed-loop CVS model that includes the progressive opening of the mitral valve, and is defined over the full cardiac cycle. Results Simulations of the cardiovascular system with healthy mitral valve are performed, and, the global hemodynamic behaviour is studied compared with previously validated results. The error between resulting pressure-volume (PV loops of already validated CVS model and the new CVS model that includes the progressive opening of the mitral valve is assessed and remains within typical measurement error and variability. Simulations of ischemic mitral insufficiency are also performed. Pressure-Volume loops, transmitral flow evolution and mitral valve aperture area evolution follow reported measurements in shape, amplitude and trends. Conclusions The resulting cardiovascular system model including mitral valve dynamics provides a foundation for clinical validation and the study of valvular dysfunction in vivo. The overall models and results could readily be generalised to other cardiac valves.
International Nuclear Information System (INIS)
2004-01-01
- the Critical Facility - have been assembled in France, where they are undergoing pre-shipment tests. No major problems have been reported. Civil engineering work on the cell to house the machine is well advanced and should be complete before the equipment arrives in August. A number of nuclear techniques are being considered for problems related to raw materials. These include photonuclear determination of heavy water, alpha backscattering determination of heavy minerals and the delayed neutron determination of fissile materials (author)
Mathematics and art a cultural history
Gamwell, Lynn
2016-01-01
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows t...
Social Consciousness and Discipline.
Walsh, Kevin; Cowles, Milly
The act of disciplining children cannot be based upon merely "putting a stop" to negative actions by means of reactionary techniques of control. If educators begin to consider discipline as a major aspect of the educational aim of socialization of children, significant contributions toward their moral and social development will take place.…
Disciplining Students with Disabilities.
Dwyer, Kevin P.
This report discusses disciplining children with disabilities in schools, in the context of the legal requirements of the Individuals with Disabilities Education Act. Practical concepts are explained in terms of the school's responsibility to: (1) maintain a safe environment; (2) teach a code of discipline to all students; (3) use the…
Popular lectures on mathematical logic
Wang, Hao
2014-01-01
A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incomplete
Parents: How to Make Discipline Work for You.
Ryan, Gloria
1985-01-01
One of the greatest challenges facing parents is disciplining children. Discipline is not controlling or imposing a parent's will upon children. It is a positive way of helping and guiding children to achieve self-discipline. Discipline tips for parents are included. (MT)
Hardy, Precious; Aruguete, Mara
2014-01-01
Retention is a major problem in most colleges and universities. High dropout rates, especially in the STEM disciplines (science, technology, engineering and mathematics), have proved intractable despite the offering of supplemental instruction. A broad model of support systems that includes psychological factors is needed to address retention in…
Mathematical classification and clustering
Mirkin, Boris
1996-01-01
I am very happy to have this opportunity to present the work of Boris Mirkin, a distinguished Russian scholar in the areas of data analysis and decision making methodologies. The monograph is devoted entirely to clustering, a discipline dispersed through many theoretical and application areas, from mathematical statistics and combina torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian de velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform par titioning in Chapter 5). The author's approach, approximation clustering, allows him both to systematize a great part of the discipline and to develop many in novative methods in the framework of optimization problems. The optimization methods considered are proved to be meaningful in the contexts of data analysis and clustering. The material presented in ...
Mathematical reasoning analogies, metaphors, and images
English, Lyn D
2013-01-01
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mat
Evaluating Discipline-Based Education Research for Promotion and Tenure
Dolan, Erin L.; Elliott, Samantha L.; Henderson, Charles; Curran-Everett, Douglas; St. John, Kristen; Ortiz, Phillip A.
2018-01-01
Discipline-based education research (DBER) is an emergent, interdisciplinary field of scholarship aimed at understanding and improving discipline-specific teaching and learning. The number of DBER faculty members in science, technology, engineering, and mathematics (STEM) departments has grown rapidly in recent years. Because the interdisciplinary…
GENERAL TASKS OF MATHEMATICAL EDUCATION DEVELOPMENT
Directory of Open Access Journals (Sweden)
V. A. Testov
2014-01-01
Full Text Available The paper discusses basic implementation aspects of the Mathematical Education Development Concept, adopted by the Russian Government in 2013. According to the above document, the main problems of mathematical education include: low motivation of secondary and higher school students for studying the discipline, resulted from underestimation of mathematical knowledge; and outdated educational content, overloaded by technical elements. In the author’s opinion, a number of important new mathematical fields, developed over the last years, - the graph theory, discrete mathematics, encoding theory, fractal geometry, etc – have a large methodological and applied educational potential. However, these new subdisciplines have very little representation both in the secondary and higher school mathematical curricula. As a solution for overcoming the gap between the latest scientific achievements and pedagogical practices, the author recommends integration of the above mentioned mathematical disciplines in educational curricula instead of some outdated technical issues. In conclusion, the paper emphasizes the need for qualified mathematical teachers’ training for solving the problems of students’ motivation development and content updates.
International Nuclear Information System (INIS)
Hess, C.T.; Smith, C.W.; Price, A.H.
1977-01-01
The uptake, accumulation and loss of radionuclides by the American oyster (C. virginica) aquacultured in the effluent of a nuclear power reactor has been measured monthly for 3 yr at four field stations in the Montsweag Estuary of the Sheepscot River and at a control station in the nearby Damariscotta River Estuary, southern central coastal Maine, U.S.A. A mathematical model for the time variation of the specific activity of the oysters has been developed to include the physical half-lives of the various radionuclides, the biological half-lives of the various radionuclides (biological depuration), the water temperature (oyster hibernation) and shell growth. The resulting first order linear differential equation incorporating these phenomena is driven by the liquid radionuclide effluent release of the Maine Yankee Nuclear Reactor. Comparison of the monthly measurements of the specific activity for 58 Co, 60 Co, 54 Mn, 134 Cs and 137 Cs in oysters with model calculations show close agreement over all ranges of variation observed. A special feature of this mathematical model is its ability to describe the non-chemostatic field situation. (author)
Bartocci, Claudio; Guerraggio, Angelo; Lucchetti, Roberto; Williams, Kim
2011-01-01
Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the soci
Adopted Children and Discipline
... Family Dynamics > Adoption & Foster Care > Adopted Children & Discipline Family Life ... are the reasons for these patterns of parental inaction? Some adoptive parents are afraid their youngster might stop loving ...
Social Science Disciplines. Fundamental for Curriculum Development.
McLendon, Johathan C., Ed.
This guide is written for the social studies curriculum developer interested in developing a structured multidisciplinary program based on the concepts, methodology, and structure of social science disciplines and history. Seven 15-29 page chapters are included on each discipline: Anthropology and Psychology, by Charles R. Berryman; Economics, by…
PROGRAMMING FUNDAMENTALS TEACHING TO THE STUDENTS OF PHYSICO-MATHEMATICAL PROFILE
Directory of Open Access Journals (Sweden)
Vdovychyn Tatiana
2017-05-01
Full Text Available The article provides methodical recommendations on studying of the discipline "Informatics" for the specialists preparation of the first (Bachelor level of higher education of the field of knowledge 01 "Education" of the specialty 014.04 "Secondary education (mathematics", 014.08 "Secondary education (physics". This discipline plays a particularly important role in the higher education establishments physical and mathematical field specialists training, since it combines both the fundamental concepts and principles of various mathematical and informatics disciplines, as well as applied models and algorithms for their application. The methodological aspects of the discipline "Informatics" study include the pedagogical feasibility of the forms, methods and means of training for students who are qualified as a teacher of mathematics and a physics teacher respectively. The discipline program includes issues on informatics theoretical foundations, applied software, and the basics of programming. Students are encouraged to consider the basics of programming in the C ++ environment. Basic C ++ language designs have a convenient, professional programming toolkit. Integrated C ++ environment is characterized by speed, convenience in debugging and compiling of the program. Therefore, the article focuses on the practical skills formation in the C ++ environment for the students of the physical and mathematical profile and highlights the methodological aspects of the C ++ programming language use in the course of the discipline "Informatics" teaching. The formation of practical skills takes place during the performance of laboratory works, namely: the original problem setting, the construction of an algorithm for its solution, analysis of the received results.
QUEUEING DISCIPLINES BASED ON PRIORITY MATRIX
Directory of Open Access Journals (Sweden)
Taufik I. Aliev
2014-11-01
Full Text Available The paper deals with queueing disciplines for demands of general type in queueing systems with multivendor load. A priority matrix is proposed to be used for the purpose of mathematical description of such disciplines, which represents the priority type (preemptive priority, not preemptive priority or no priority between any two demands classes. Having an intuitive and simple way of priority assignment, such description gives mathematical dependencies of system operation characteristics on its parameters. Requirements for priority matrix construction are formulated and the notion of canonical priority matrix is given. It is shown that not every matrix, constructed in accordance with such requirements, is correct. The notion of incorrect priority matrix is illustrated by an example, and it is shown that such matrixes do not ensure any unambiguousness and determinacy in design of algorithm, which realizes corresponding queueing discipline. Rules governing construction of correct matrixes are given for canonical priority matrixes. Residence time for demands of different classes in system, which is the sum of waiting time and service time, is considered as one of the most important characteristics. By introducing extra event method Laplace transforms for these characteristics are obtained, and mathematical dependencies are derived on their basis for calculation of two first moments for corresponding characteristics of demands queueing
Neuroscience discipline science plan
1991-01-01
Over the past two decades, NASA's efforts in the neurosciences have developed into a program of research directed at understanding the acute changes that occur in the neurovestibular and sensorimotor systems during short-duration space missions. However, the proposed extended-duration flights of up to 28 days on the Shuttle orbiter and 6 months on Space Station Freedom, a lunar outpost, and Mars missions of perhaps 1-3 years in space, make it imperative that NASA's Life Sciences Division begin to concentrate research in the neurosciences on the chronic effects of exposure to microgravity on the nervous system. Major areas of research will be directed at understanding (1) central processing, (2) motor systems, (3) cognitive/spatial orientation, and (4) sensory receptors. The purpose of the Discipline Science Plan is to provide a conceptual strategy for NASA's Life Sciences Division research and development activities in the comprehensive area of neurosciences. It covers the significant research areas critical to NASA's programmatic requirements for the Extended-Duration Orbiter, Space Station Freedom, and exploration mission science activities. These science activities include ground-based and flight; basic, applied, and operational; and animal and human research and development. This document summarizes the current status of the program, outlines available knowledge, establishes goals and objectives, identifies science priorities, and defines critical questions in the subdiscipline areas of nervous system function. It contains a general plan that will be used by NASA Headquarters Program Offices and the field centers to review and plan basic, applied, and operational intramural and extramural research and development activities in this area.
[Discipline construction is the theme of the development of burn surgery].
Jia, C Y
2018-03-20
Discipline construction is the core element of department development, including discipline structure setting, scale, equipment, medical workers structure, clinical feature and advantage, talent training, teaching level, scientific research level, management system, and cultural construction of department. As leader and engine of discipline construction, directors' ability is an important factor for discipline construction. Clinical characteristic is the basis of discipline construction; innovation actuation is the essence of discipline construction; talents training is the guarantee of discipline construction; scientific research is the wing of discipline construction; cultural construction is the hot spring of discipline construction. Discipline construction is the theme of the development of burn surgery.
The Discipline Controversy Revisited.
Baumrind, Diana
1996-01-01
Found that neither the authoritative model nor the liberal (permissive) model offers parents an efficacious model of childrearing. Each polarized model contains an element of truth, but each demonizes the other. Argues that within a responsive and supportive parent-child relationship, prudent use of punishment is a necessary tool in discipline.…
Collins, Mildred; Dowell, Mary L.
1998-01-01
Increasing numbers of parents do not accept a school's discipline policy and are refusing to permit their children to comply with disciplinary sanctions. According to the California Education Code, educators have the right to expect parents to accept disciplinary decisions made in compliance with required procedures. Parental defiance might worsen…
Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving
Ayllón, María F.; Gómez, Isabel A.; Ballesta-Claver, Julio
2016-01-01
This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas), flexibility (range of ideas),…
McHugh, Luisa
2016-01-01
Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…
Directory of Open Access Journals (Sweden)
Y. A. Perminov
2014-01-01
Full Text Available The paper substantiates the need for profile training in mathematical modeling for pedagogical students, caused by the total penetration of mathematics into different sciences, including the humanities; fast development of the information communications technologies; and growing importance of mathematical modeling, combining the informal scientific and formal mathematical languages with the unique opportunities of computer programming. The author singles out the reasons for mastering and using the mathematical apparatus by teaches in every discipline. Indeed, among all the modern mathematical methods and ideas, mathematical modeling retains its priority in all professional spheres. Therefore, the discipline of “Mathematical Modeling” can play an important role in integrating different components of specialists training in various profiles. By mastering the basics of mathematical modeling, students acquire skills of methodological thinking; learn the principles of analysis, synthesis, generalization of ideas and methods in different disciplines and scientific spheres; and achieve general culture competences. In conclusion, the author recommends incorporating the “Methods of Profile Training in Mathematical Modeling” into the pedagogical magistracy curricula.
Teaching Mathematics in Geography Degrees
Bennett, Robert
1978-01-01
Examines ways of developing college students' motivation for mathematical training; describes the type of mathematical knowledge required in the geography discipline; and explores an applied approach to mathematics teaching based on a systems concept. For journal availability, see SO 506 224. (Author/AV)
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...
Bélair, Jacques; Kunze, Herb; Makarov, Roman; Melnik, Roderick; Spiteri, Raymond J
2016-01-01
Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science a...
2009-01-01
The international U&U seminar invites PhD work which addresses the discipline of urbanism, and encourages contributions that highlight its trans-disciplinary nature. Urbanism is grounded in various practices, discourses and realities with respect to the city. The seminar will focus on multiple approaches – from historic enquiry to project-led analysis – and cover a wide range of spaces and scales - from territories to neighborhoods, from landscapes to cityscapes. The seminar seeks contributio...
African Journal of Educational Studies in Mathematics and Sciences
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.
When Mathematics and Statistics Collide in Assessment Tasks
Bargagliotti, Anna; Groth, Randall
2016-01-01
Because the disciplines of mathematics and statistics are naturally intertwined, designing assessment questions that disentangle mathematical and statistical reasoning can be challenging. We explore the writing statistics assessment tasks that take into consideration potential mathematical reasoning they may inadvertently activate.
History of mathematics and history of science.
Mann, Tony
2011-09-01
This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic careers open to practitioners have had a profound effect on the discipline, leading to a focus on elite mathematics and great mathematicians. More recently, reflecting earlier developments in the history of science, an increased interest in the context and culture of the practice of mathematics has become evident.
Spatial mathematics theory and practice through mapping
Arlinghaus, Sandra Lach
2013-01-01
In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as...
Discipline in early childhood.
Howard, B J
1991-12-01
As pediatricians we have an opportunity and a responsibility to guide parents in the structure of discipline they set up for their children. The major goals of this structure are to help children develop a sense of being both lovable and capable. To feel lovable a child needs an enduring responsive relationship that conveys positive regard. Attending to children promptly, giving individual time daily, acknowledging positive behaviors, and ignoring minor transgressions all help them feel valued. Active listening without judgment demonstrates acceptance of children's feelings. Talking to children without labels or generalizations but with specific feedback about their actions and with congruent emotional tone is respectful and promotes self-esteem. Children also deserve assistance with transitions, thanks, and apologies as appropriate. To feel (and become) capable, children need a consistent structure of routines, good models, respectful instruction, and progressive expectations so that they have an ongoing experience of success. To grow as individuals they need opportunities to make choices relevant to their interests and role-taking opportunities to gain perspective on social interaction. Praise and rewards motivate as well as instruct children, but they also need to experience consequences to their actions. Natural consequences are optimal but parents also need to design logical consequences that are graded, related, prompt, and reasonable for a child's misbehaviors. Consequences are most effective when given after only one request, exactly as clearly promised by the adult involved without interference by others. Time out is one of the most effective consequences for young children when used properly. Physical punishment has multiple negative effects on a child's development, especially if used noncontingently. Intrapersonal and family factors predispose parents to predictable problems in establishing healthy discipline. Pediatricians can play an important role in
Evaluation of the Discipline Helpline.
Fine, Andrea
The National Center for the Study of Corporal Punishment and Alternatives in the Schools, established the Discipline Helpline to guide parents in handling specific discipline problems. To evaluate the telephone counseling service, 63 persons who had contacted the Helpline for assistance with specific discipline problems completed the Helpline…
2011-01-01
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics.
Geriatric Cardiology: An Emerging Discipline.
Dodson, John A; Matlock, Daniel D; Forman, Daniel E
2016-09-01
Given changing demographics, patients with cardiovascular (CV) disease in developed countries are now older and more complex than even a decade ago. This trend is expected to continue into the foreseeable future; accordingly, cardiologists are encountering patients with a greater number of comorbid illnesses as well as "geriatric conditions," such as cognitive impairment and frailty, which complicate management and influence outcomes. Simultaneously, technological advances have widened the therapeutic options available for patients, including those with the most advanced CV disease. In the setting of these changes, geriatric cardiology has recently emerged as a discipline that aims to adapt principles from geriatric medicine to everyday cardiology practice. Accordingly, the tasks of a "geriatric cardiologist" may include both traditional evidence-based CV management plus comprehensive geriatric assessment, medication reduction, team-based coordination of care, and explicit incorporation of patient goals into management. Given that the field is still in its relative infancy, the training pathways and structure of clinical programs in geriatric cardiology are still being delineated. In this review, we highlight the rationale behind geriatric cardiology as a discipline, several current approaches by geriatric cardiology programs, and future directions for the field. Copyright © 2016 Canadian Cardiovascular Society. Published by Elsevier Inc. All rights reserved.
Doing Mathematics with Purpose: Mathematical Text Types
Dostal, Hannah M.; Robinson, Richard
2018-01-01
Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…
Content Area Literacy in the Mathematics Classroom
Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna
2018-01-01
Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…
Childhood discipline: challenges for clinicians and parents.
Banks, J Burton
2002-10-15
Although childhood discipline is an important issue for parents, this topic is seldom emphasized by family physicians during well-child examinations. Behavior problems are relatively common but frequently under-recognized by physicians. Opportunities to counsel parents about safe, effective methods of discipline are therefore missed. Discipline should be instructive and age-appropriate and should include positive reinforcement for good behavior. Punishment is only one aspect of discipline and, in order to be effective, it must be prompt, consistent, and fair. Time-out is frequently used to correct younger children, but because it is often enforced improperly, it loses its effectiveness. Corporal punishment is a controversial but common form of discipline that is less effective than some other types of punishment. Its use is linked to child and spouse abuse, as well as to future substance use, violent crime, poor self-esteem, and depression. Despite the possible negative effects of corporal punishment, it is still widely accepted in our society. Since discipline plays an important role in the social and emotional development of children, physicians should be trained to discuss this issue with parents during routine well-child examinations.
Conference - La discipline positive
Staff Association
2018-01-01
Eduquer avec fermeté et bienveillance Véronique Genevay Jeudi 31 mai à 19h00 CERN Meyrin, Salle du Conseil 503-1-001 Venez vous familiariser avec la pensée et le positionnement développé dans la discipline positive. Une approche ni permissive, ni punitive, qui vise à enseigner aux enfants des compétences comme la confiance en soi, l’autonomie, le respect de soi-même et le respect mutuel, la responsabilité, la coopération… Inscrivez-vous : https://indico.cern.ch/e/disciplinepositive Pour plus d’informations : staff.association@cern.ch ou (+41) 022 766 37 38
Parshall, Karen Hunger
2002-01-01
Although today's mathematical research community takes its international character very much for granted, this "global nature" is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians and mathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only develo...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15...
Batchelder, William H
2010-09-01
Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.
Directory of Open Access Journals (Sweden)
Sanhita SUCHARITA
2011-07-01
Full Text Available The present study broadly attempts to analyze the role of Fiscal Responsibility and Budget Management Act in restoring fiscal balance in India. It analyses the need for fiscal rules and constraints in India. The study aims at finding out the major factor behind rising fiscal imbalance in India and to examine whether there is an electoral motive towards high fiscal deficit to GDP ratio or not. It also analyzes the effectiveness of various measures undertaken at the central and state level to inculcate fiscal discipline in the fiscal management. The study also makes an attempt to do a critical in depth reviews of the Fiscal Responsibility and Budget Management Act and make an attempt at examining effectiveness and suitability of FRBM Act through a quantitative analysis. It also makes an attempt to suggest improvements in the fiscal monitoring mechanism in India. We employ Ordinary Least Square (OLS method to examine the impact of Fiscal Responsibility and Budget Management Act on fiscal deficit in India using the data for the period 1980-81 to 2008-09. The regression results indicates that FRBM Act does not have a significant effect on the Gross Fiscal Deficit (GFD to GDP ratio where as GDP (at factor cost growth rate has a significant negative effect on the GFD to GDP ratio.
TBCC Discipline Overview. Hypersonics Project
Thomas, Scott R.
2011-01-01
The "National Aeronautics Research and Development Policy" document, issued by the National Science and Technology Council in December 2006, stated that one (among several) of the guiding objectives of the federal aeronautics research and development endeavors shall be stable and long-term foundational research efforts. Nearly concurrently, the National Academies issued a more technically focused aeronautics blueprint, entitled: the "Decadal Survey of Civil Aeronautics - Foundations for the Future." Taken together these documents outline the principles of an aeronautics maturation plan. Thus, in response to these overarching inputs (and others), the National Aeronautics and Space Administration (NASA) organized the Fundamental Aeronautics Program (FAP), a program within the NASA Aeronautics Research Mission Directorate (ARMD). The FAP initiated foundational research and technology development tasks to enable the capability of future vehicles that operate across a broad range of Mach numbers, inclusive of the subsonic, supersonic, and hypersonic flight regimes. The FAP Hypersonics Project concentrates on two hypersonic missions: (1) Air-breathing Access to Space (AAS) and (2) the (Planetary Atmospheric) Entry, Decent, and Landing (EDL). The AAS mission focuses on Two-Stage-To-Orbit (TSTO) systems using air-breathing combined-cycle-engine propulsion; whereas, the EDL mission focuses on the challenges associated with delivering large payloads to (and from) Mars. So, the FAP Hypersonic Project investments are aligned to achieve mastery and intellectual stewardship of the core competencies in the hypersonic-flight regime, which ultimately will be required for practical systems with highly integrated aerodynamic/vehicle and propulsion/engine technologies. Within the FAP Hypersonics, the technology management is further divided into disciplines including one targeting Turbine-Based Combine-Cycle (TBCC) propulsion. Additionally, to obtain expertise and support from outside
Self Discipline: The Only Form of Discipline Acquisition for Children
Renard, Rosamunde
2003-01-01
Piaget noted that "punishment renders the autonomy of conscience impossible". Yet in the Caribbean, most common folk believe that beating is an indispensable part of discipline. To understand the role that discipline or the connotations of that word play in the society, culture, economy and politics of Saint Lucia, it is indispensable to…
Geroch, Robert
1985-01-01
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle
Wallace, Colin Scott; Prather, Edward E.; Chambers, Timothy G.; Kamenetzky, Julia R.; Hornstein, Seth D.
2017-01-01
Instructors of introductory, college-level, general education astronomy (Astro 101) often want to include topics from the cutting-edge of modern astrophysics in their course. Unfortunately, the teaching of these cutting-edge topics is typically confined to advanced undergraduate or graduate classes, using representations (graphical, mathematical, etc.) that are inaccessible to the vast majority of Astro 101 students. Consequently, many Astro 101 instructors feel that they have no choice but to cover these modern topics at a superficial level. Pedagogical discipline representations (PDRs) are one solution to this problem. Pedagogical discipline representations are representations that are explicitly designed to enhance the teaching and learning of a topic, even though these representations may not typically be found in traditional textbooks or used by experts in the discipline who are engaged in topic-specific discourse. In some cases, PDRs are significantly simplified or altered versions of typical discipline representations (graphs, data tables, etc.); in others they may be novel and highly contextualized representations with unique features that purposefully engage novice learners’ pre-existing mental models and reasoning difficulties, facilitating critical discourse. In this talk, I will discuss important lessons that my colleagues and I have learned while developing PDRs and describe how PDRs can enable students to reason about complex modern astrophysical topics.
Energy Technology Data Exchange (ETDEWEB)
Johansen, Stein E., E-mail: stein.johansen@svt.ntnu.no [Institute for Basic Research, Division of Physics, Palm Harbor, Florida, USA and Norwegian University of Science and Technology, Department of Social Anthropology, Trondheim (Norway)
2014-12-10
The paper recapitulates some key elements in previously published results concerning exact and complete reconstitution of the field of natural numbers, both as ordinal and as cardinal numbers, from systematic unfoldment of the Fibonacci algorithm. By this natural numbers emerge as Fibonacci 'atoms' and 'molecules' consistent with the notion of Zeckendorf sums. Here, the sub-set of prime numbers appears not as the primary numbers, but as an epistructure from a deeper Fibonacci constitution, and is thus targeted from a 'positive approach'. In the Fibonacci reconstitution of number theory natural numbers show a double geometrical aspect: partly as extension in space and partly as position in a successive structuring of space. More specifically, the natural numbers are shown to be distributed by a concise 5:3 code structured from the Fibonacci algorithm via Pascal's triangle. The paper discusses possible implications for the more general relation between number theory and geometry, as well as more specifically in relation to hadronic mathematics, initiated by R.M. Santilli, and also briefly to some other recent science linking number theory more directly to geometry and natural systems.
International Nuclear Information System (INIS)
Johansen, Stein E.
2014-01-01
The paper recapitulates some key elements in previously published results concerning exact and complete reconstitution of the field of natural numbers, both as ordinal and as cardinal numbers, from systematic unfoldment of the Fibonacci algorithm. By this natural numbers emerge as Fibonacci 'atoms' and 'molecules' consistent with the notion of Zeckendorf sums. Here, the sub-set of prime numbers appears not as the primary numbers, but as an epistructure from a deeper Fibonacci constitution, and is thus targeted from a 'positive approach'. In the Fibonacci reconstitution of number theory natural numbers show a double geometrical aspect: partly as extension in space and partly as position in a successive structuring of space. More specifically, the natural numbers are shown to be distributed by a concise 5:3 code structured from the Fibonacci algorithm via Pascal's triangle. The paper discusses possible implications for the more general relation between number theory and geometry, as well as more specifically in relation to hadronic mathematics, initiated by R.M. Santilli, and also briefly to some other recent science linking number theory more directly to geometry and natural systems
2016-01-01
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Sneyd, James
2009-01-01
There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put the modern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has also been expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting and the retina. Owing to this extensive coverage, the second edition is published in two volumes. ...
Panel Debate: Technics and technology in mathematics and mathematics education
DEFF Research Database (Denmark)
Misfeldt, Morten
2015-01-01
The use of computer technology for teaching and learning of mathematics has several consequences and does sometimes give rise to both controversies and misunderstandings. We address these problems by both a philosophical and a historical approach, investigating what it actually is that goes on when...... guidelines and conclusions regarding the use of computer technology in mathematics education....... new technologies enter mathematics as a discipline and mathematics education as a societal practice. Our analysis suggests a focus on continuities in time and place in the sense that it is necessary to understand the history of “tool use” in mathematics and the various ways that scholastic and non...
EULER - A Real Virtual Library for Mathematics
Jost, Michael
2004-01-01
The EULER project completed its work in November 2002. It forms the last part of a very successful project in the specialized but global discipline of mathematics. After a successful RTD project had created the technology, a take-up project has effectively exploited it to the point where its future is assured through a not-for-profit consortium. EULER is a European based, world class, real virtual library for mathematics with up-to-date technological solutions, well accepted by users. In particular, EULER provides a world reference and delivery service, transparent to the end user and offering full coverage of the mathematics literature world-wide, including bibliographic data, peer reviews and/or abstracts, indexing, classification and search, transparent access to library services, co-operation with commercial information providers (publishers, bookstores). The EULER services provide a gateway to the electronic catalogues and repositories of participating institutions, while the latter retain complete respo...
Mathematical concepts of quantum mechanics. 2. ed.
International Nuclear Information System (INIS)
Gustafson, Stephen J.; Sigal, Israel Michael
2011-01-01
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. (orig.)
Pestman, Wiebe R
2009-01-01
This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.
Berman, Elizabeth
1979-01-01
Mathematics Revealed focuses on the principles, processes, operations, and exercises in mathematics.The book first offers information on whole numbers, fractions, and decimals and percents. Discussions focus on measuring length, percent, decimals, numbers as products, addition and subtraction of fractions, mixed numbers and ratios, division of fractions, addition, subtraction, multiplication, and division. The text then examines positive and negative numbers and powers and computation. Topics include division and averages, multiplication, ratios, and measurements, scientific notation and estim
Discipline Based Instruction in Business Law
Custin, Richard E.; Demas, John C.; Lampe, Marc; Custin, Colette L.
2013-01-01
Undergraduate business law courses typically utilize traditional textbooks organized by topic. Individual chapters, address the usual topics including contracts, torts, the court system and ethics. An innovative approach to facilitating a business law course involves segregating sections of the course into common business disciplines. Rather than…
Discipline: A Review of Selected Literature.
Arsulich, Michael
The nature of school discipline problems has changed over the past few decades. In the 1950s, teachers thought that fighting, stealing, and disrespect toward authority were the most serious forms of student misbehavior. Violent assaults on teachers and pupils, gang warfare, burglary, extortion, and destruction of school property are included among…
Charter Schools, Civil Rights and School Discipline: A Comprehensive Review
Losen, Daniel J.; Keith, Michael A., II; Hodson, Cheri L.; Martinez, Tia E.
2016-01-01
This report, along with the companion spreadsheet, provides the first comprehensive description ever compiled of charter school discipline. In 2011-12, every one of the nation's 95,000 public schools was required to report its school discipline data, including charter schools. This analysis, which includes more than 5,250 charter schools, focuses…
Mathematical tools for data mining set theory, partial orders, combinatorics
Simovici, Dan A
2014-01-01
Data mining essentially relies on several mathematical disciplines, many of which are presented in this second edition of this book. Topics include partially ordered sets, combinatorics, general topology, metric spaces, linear spaces, graph theory. To motivate the reader a significant number of applications of these mathematical tools are included ranging from association rules, clustering algorithms, classification, data constraints, logical data analysis, etc. The book is intended as a reference for researchers and graduate students. The current edition is a significant expansion of the firs
International Nuclear Information System (INIS)
Kris Tri Basuki
2008-01-01
Emulsion liquid membrane systems are double emulsion drops. Two immiscible phases are separated by a third phase which is immiscible with the other two phases. The liquid membrane systems were classified into two types: (1) carrier mediated mass transfer, (2) mass transfer without any reaction involved. Uranium extraction, molybdenum extraction and solvent extraction were used as purposed elements for each type of the membrane systems in the derivation of their mathematical models. Mass transfer in emulsion liquid membrane (ELM) systems has been modeled by several differential and algebraic equations. The models take into account the following : mass transfer of the solute from the bulk external phase to the external phase-membrane interface; an equilibrium reaction between the solute and the carrier to form the solute-carrier complex at the interface; mass transfer by diffusion of the solute-carrier complex in the membrane phase to the membrane-internal phase interface; another equilibrium reaction of the solute-carrier complex to release the solute at the membrane-internal phase interface into the internal phase. Models with or without the consideration of film resistances were developed and compared. The models developed in this study can predict the extraction rate through emulsion liquid membranes theoretically. All parameters required in the models can be determined before an experimental extraction run. Experimental data from literature (uranium extraction) and (molybdenum extraction and solvent extraction) were used to test the models. The agreements between the theoretical predictions and the experimental data were very good. The advantages of emulsion liquid membrane systems over traditional methods were discussed. The models developed in this research can be used directly for the design of emulsion liquid membrane systems. The results of this study represent a very significant step toward the practical applications of the emulsion liquid membrane
The Princeton companion to mathematics
Barrow-Green, June; Leader, Imre
2008-01-01
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more
Developmental biology, the stem cell of biological disciplines
Gilbert, Scott F.
2017-01-01
Developmental biology (including embryology) is proposed as "the stem cell of biological disciplines.” Genetics, cell biology, oncology, immunology, evolutionary mechanisms, neurobiology, and systems biology each has its ancestry in developmental biology. Moreover, developmental biology continues to roll on, budding off more disciplines, while retaining its own identity. While its descendant disciplines differentiate into sciences with a restricted set of paradigms, examples, and techniques, ...
Learner discipline: An Australian perspective
Directory of Open Access Journals (Sweden)
D. Stewart
2004-07-01
Full Text Available Australian schools by and large are safe schools. Nonetheless discipline problems do exist – including bullying behaviour. For this kind of problem schools should have management policies in place. As traditional behaviour-management practices – including corporal punishment – are largely prohibited in Australian schools, contemporary practices centre on management through supportive school programmes, including appropriate curricula and school-support structures. This article supports the belief that measures such as the exclusion of misbehaving learners should be treated with caution. Measures such as this might not reflect accepted international principles and practices and should only be exercised in the most extreme circumstances. The article also supports the view that it is part of the school’s role to ensure that all learners are aware of the reality that while they have rights, they also have corresponding responsibilities. This awareness is more likely to be achieved in a supportive school culture where each learner is recognised as having unique qualities that can mature and grow in an appropriate learning environment.
Boronico, Jess; Murdy, Jim; Kong, Xinlu
2014-01-01
This manuscript proposes a mathematical model to address faculty sufficiency requirements towards assuring overall high quality management education at a global university. Constraining elements include full-time faculty coverage by discipline, location, and program, across multiple campus locations subject to stated service quality standards of…
[Mathematics - astronomy - astrology special library].
Gluch, Sibylle
2011-01-01
About 1560 Elector August of Saxony created an unusual library--one distinguished within its period by both its specialization and location. Situated within the Kunstkammer this library was mostly dedicated to the mathematical sciences and related disciplines. It contained works by the most important authors on mathematics, astronomy, and astrology from the classical, medieval, and early modern periods. This essay traces the formation and composition of August's library, and examines its function: What kind of relationship existed between the library and the Kunstkammer? In what way did the library mirror the interests of the Elector, and to what extend does it permit inferences regarding the Elector's knowledge of mathematics? From the analysis August emerges not as a specialist with a deep understanding of mathematics, but as a particular aficionado of mathematical applications. As a practitioner and general follower of the mathematical arts he took part in a far-reaching intellectual network the center of which lay in the University of Wittenberg. Here, Melanchthon had effectively strengthened the importance of the mathematical disciplines within the university curriculum. He regarded mathematics as the foremost science, arguing that before all other disciplines its method enabled man to recognize the harmonic order of the world, and to discern divine providence. Thus, mathematics offered consoling stability and support in an often seemingly chaotic world torn by religious controversies. This kind of esteem for the mathematical sciences did not presuppose expert knowledge. Hence, the fact that August does not appear to have read the mathematical books he collected does not come as a contradiction. On the contrary, for August it sufficed to recognize the potential of the mathematical sciences, which he brought into life through the creation of a specialized library that developed a rhetoric of its own. The collection of his Kunstkammer library spoke of a
Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving
Directory of Open Access Journals (Sweden)
María F. Ayllón
2016-04-01
Full Text Available This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas, flexibility (range of ideas, novelty (unique idea and elaboration (idea development. These factors contribute, among others, to the fact that schoolchildren are competent in mathematics. The problem solving and posing are a very powerful evaluation tool that shows the mathematical reasoning and creative level of a person. Creativity is part of the mathematics education and is a necessary ingredient to perform mathematical assignments. This contribution presents some important research works about problem posing and solving related to the development of mathematical knowledge and creativity. To that end, it is based on various beliefs reflected in the literature with respect to notions of creativity, problem solving and posing.
Kind discipline: Developing a conceptual model of a promising school discipline approach.
Winkler, Jennifer L; Walsh, Michele E; de Blois, Madeleine; Maré, Jeannette; Carvajal, Scott C
2017-06-01
This formative evaluation develops a novel conceptual model for a discipline approach fostering intrinsic motivation and positive relationships in schools. We used concept mapping to elicit and integrate perspectives on kind discipline from teachers, administrators, and other school staff. Three core themes describing kind discipline emerged from 11 identified clusters: (1) proactively developing a positive school climate, (2) responding to conflict with empathy, accountability, and skill, and (3) supporting staff skills in understanding and sharing expectations. We mapped the identified components of kind discipline onto a social ecological model and found that kind discipline encompasses all levels of that model including the individual, relational, environmental/structural, and even community levels. This contrasts with the dominant individual-behavioral discipline approaches that focus on fewer levels and may not lead to sustained student and staff motivation. The findings illustrate the importance of setting and communicating clear expectations and the need for them to be collaboratively developed. Products of the analysis and synthesis reported here are operationalized materials for teachers grounded in a "be kind" culture code for classrooms. Copyright © 2017 Elsevier Ltd. All rights reserved.
Developmental biology, the stem cell of biological disciplines.
Gilbert, Scott F
2017-12-01
Developmental biology (including embryology) is proposed as "the stem cell of biological disciplines." Genetics, cell biology, oncology, immunology, evolutionary mechanisms, neurobiology, and systems biology each has its ancestry in developmental biology. Moreover, developmental biology continues to roll on, budding off more disciplines, while retaining its own identity. While its descendant disciplines differentiate into sciences with a restricted set of paradigms, examples, and techniques, developmental biology remains vigorous, pluripotent, and relatively undifferentiated. In many disciplines, especially in evolutionary biology and oncology, the developmental perspective is being reasserted as an important research program.
Bates, Alan B.; Latham, Nancy; Kim, Jin-ah
2011-01-01
This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…
Bridging disciplines through problem based learning
DEFF Research Database (Denmark)
Stentoft, Diana
2011-01-01
This paper examines whether a problem based approach to students’ learning may support interdisciplinary education at university level, where students are required to engage with the complexities inherent in constructing knowledge across disciplinary boundaries. These complexities include students...... engaging with multiple and conflicting epistemologies, identification and contextualisation of problems involving several disciplines in their solution etc. A practical example found in the case of newly developed BSc and MSc programs in Techno-Anthropology is provided.The paper includes some examples...
The Big Data Tools Impact on Development of Simulation-Concerned Academic Disciplines
Directory of Open Access Journals (Sweden)
A. A. Sukhobokov
2015-01-01
Full Text Available The article gives a definition of Big Data on the basis of 5V (Volume, Variety, Velocity, Veracity, Value as well as shows examples of tasks that require using Big Data tools in a diversity of areas, namely: health, education, financial services, industry, agriculture, logistics, retail, information technology, telecommunications and others. An overview of Big Data tools is delivered, including open source products, IBM Bluemix and SAP HANA platforms. Examples of architecture of corporate data processing and management systems using Big Data tools are shown for big Internet companies and for enterprises in traditional industries. Within the overview, a classification of Big Data tools is proposed that fills gaps of previously developed similar classifications. The new classification contains 19 classes and allows embracing several hundreds of existing and emerging products.The uprise and use of Big Data tools, in addition to solving practical problems, affects the development of scientific disciplines concerning the simulation of technical, natural or socioeconomic systems and the solution of practical problems based on developed models. New schools arise in these disciplines. These new schools decide peculiar to each discipline tasks, but for systems with a much bigger number of internal elements and connections between them. Characteristics of the problems to be solved under new schools, not always meet the criteria for Big Data. It is suggested to identify the Big Data as a part of the theory of sorting and searching algorithms. In other disciplines the new schools are called by analogy with Big Data: Big Calculation in numerical methods, Big Simulation in imitational modeling, Big Management in the management of socio-economic systems, Big Optimal Control in the optimal control theory. The paper shows examples of tasks and methods to be developed within new schools. The educed tendency is not limited to the considered disciplines: there are
Contributions of Islamic Civilization to The Mathematics Development
Directory of Open Access Journals (Sweden)
Liya Khaulah Asy-Syaimaa' Hussain
2017-12-01
Full Text Available The development of Islamic civilization goes hand in hand with physical and spiritual development. This development can be highlighted since the beginning of the golden age of Islam that witnessed the development of knowledge by Muslims scholars in various disciplines, including mathematics. The discourse in mathematical science only involves numbers, letters, and formulas. Muslims scholars took them as instruments to manifest the greatest of God. This paper investigates the contributions of Muslim scholars in Mathematics. The method of this study is qualitative through literature review. The resulting study found that the Quran became a source of inspiration to Muslim scholars in mathematics that form the branch of knowledge such as number theory, arithmetic, algebra, and geometry. This paper also promotes Islamization of Knowledge and its necessity to solve current Muslim world’s educational problems.
Mathematical and numerical foundations of turbulence models and applications
Chacón Rebollo, Tomás
2014-01-01
With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering, and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation, and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics,...
Vivaldi, Franco
2014-01-01
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...
Sriyudthsak, Kansuporn; Shiraishi, Fumihide
2010-11-01
A number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and death of cells. The present work therefore studies the effect of bottleneck on product concentrations under different product toxicity conditions. A generalized bottleneck model in a fed-batch fermentation is constructed including both the bottleneck and the product influences on cell growth and death. The simulation result reveals that when the toxic product strongly influences the cell growth and death, the final product concentration is hardly changed even if the bottleneck is removed, whereas it is markedly changed by the degree of product toxicity. The performance of an ethanol fermentation process is also discussed as a case example to validate this result. In conclusion, when the product is highly toxic, one cannot expect a significant increase in the final product concentration even if removing the bottleneck; rather, it may be more effective to somehow protect the cells so that they can continuously produce the product. Copyright © 2010 Elsevier Inc. All rights reserved.
Utah State Office of Education, 2011
2011-01-01
Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…
The development of mathematics throughout the centuries a brief history in a cultural context
Evans, Brian
2014-01-01
Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babyloni
Mathematics for the nonmathematician
Kline, Morris
1967-01-01
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Mathematics and Computer Science: The Interplay
Madhavan, Veni CE
2005-01-01
Mathematics has been an important intellectual preoccupation of man for a long time. Computer science as a formal discipline is about seven decades young. However, one thing in common between all users and producers of mathematical thought is the almost involuntary use of computing. In this article, we bring to fore the many close connections and parallels between the two sciences of mathematics and computing. We show that, unlike in the other branches of human inquiry where mathematics is me...
Energy Technology Data Exchange (ETDEWEB)
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
Parenting classes: focus on discipline.
Campbell, J M
1992-01-01
Nurses in community settings have an opportunity to provide instruction related to health and life-style needs. An important consideration is the parental role. A particularly controversial and opinion-laden aspect of parenting is disciplining children. Discipline provides children with the security of clearly enforced rules to help them learn self-control and social standards. Parenting classes are worthwhile for people who have little formal or informal preparation. A survey of middle-class elementary school district parents' and childrens' attitudes toward discipline was conducted to develop meaningful parenting classes. Parents' feelings about being a mother or father were surprisingly negative. A parent educational program was developed to cover child growth and development and disciplinary practices. Parent evaluations led to continuation and an expansion of this program to other schools within the area.
Training Engineering Disciplines and Skills through Robot Projects
DEFF Research Database (Denmark)
Friesel, Anna
The popularity of robots in educational activities increased the last 10-15 years. Engineering education all over the world includes courses and projects involving design, use and programming of robots in a variety of programs at technical colleges and universities. At the same time there is a gr......The popularity of robots in educational activities increased the last 10-15 years. Engineering education all over the world includes courses and projects involving design, use and programming of robots in a variety of programs at technical colleges and universities. At the same time...... there is a growing interest to work with robots. Robotic skills are also highly requested in industrial companies. At the Technical University of Denmark, DTU Diplom, we have several projects involving building and programing robots in our bachelor programs in Electronics, Computer Science, IT and Mechanical...... Engineering. This presentation deals with our experience in robotic activities in different programs in order to enhance understanding of mathematics, physics and different technical disciplines in the named programs. We also observed the increased motivation for learning theory when we combine traditional...
Algorithms in Modern Mathematics and Computer Science.
1980-01-01
importance, since we will go on doing what we are doing no matter what it is called; after all, other disciplines like Mathematics and Chemistry are no...longer related very strongly to the etymology of their names. However, if I had a chance to vote for the name of my own discipline, I would choose to call
... Child and Adolescent Psychiatry website. Policy statement on corporal punishment. www.aacap.org/aacap/Policy_Statements/2012/Policy_Statement_on_Corporal_Punishment.aspx . Updated July 20, 2012. Accessed January 9, ...
Retail design : A new discipline
Christiaans, H.H.C.M.; Almendra, R.A.
2012-01-01
This paper has the aim to address Retail Design as a new research and education discipline that because of its multidisciplinarity asks for a holistic approach. Although retailing as commerce is timeless, Retail Design is one of the most challenging new fields of design, embracing both design
Crippling Our Children with Discipline.
Gordon, Thomas
1981-01-01
Holds that the practice of disciplining children is damaging to their physical, emotional, and social well-being. Describes the democratic and egalitarian parenting model put forth in "Effectiveness Training" as an alternative to adult power based control of children. (Author/GC)
Disciplining and Screening Top Executives
S. Dominguez Martinez (Silvia); O.H. Swank (Otto); B. Visser (Bauke)
2006-01-01
textabstractBoards of directors face the twin task of disciplining and screening executives. To perform these tasks directors do not have detailed information about executives' behaviour, and only infrequently have information about the success or failure of initiated strategies, reorganizations,
School Discipline: A Cooperative Approach
Terrell, Henry W.
1976-01-01
To stem the tide of student misbehavior, teachers and administrators must present a united front. Cooperative discipline procedures can be effective when they are firm, fair, and offer the misbehaving student a personal option. Practical suggestions on disciplinary procedures are offered here. (Editor/RK)
Alternative Discipline Can Benefit Learning
Mergler, Mary Schmid; Vargas, Karla M.; Caldwell, Caroline
2014-01-01
Schools across the country are changing how they discipline students by implementing research- and evidence-based disciplinary practices that have yielded positive results for schools and students. These disciplinary practices--known as Restorative Justice, Positive Behavioral Interventions and Supports, and social and emotional learning--largely…
Market Discipline and Deposit Insurance
Peresetsky, Anatoly
2008-01-01
The paper examines Russian banks’ household deposit interest rates for the transition period of setting up the deposit insurance system. Monthly observations of Russian banks’ interest rates and balance sheets are used in a fixed effects panel data model. It is shown market discipline has been significantly diminished after switching to the deposit insurance.
Modern Versus Traditional Mathematics
Roberts, A. M.
1974-01-01
The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)
Medicinal chemistry matters - a call for discipline in our discipline.
Johnstone, Craig
2012-06-01
Medicinal chemistry makes a vital contribution to small molecule drug discovery, and the quality of it contributes directly to research effectiveness as well as to downstream costs, speed and survival in development. In recent years, the discipline of medicinal chemistry has evolved and witnessed many noteworthy contributions that propose and offer potential improvements to medicinal chemistry practice; however, the impact of these ideas is limited by their acceptance and deployment into every-day activity and, as a result, the quality of medicinal chemistry remains variable. For the good of the industry and the medicinal chemistry discipline, there is a need to move from retrospective learning to prospective control of medicinal chemistry practice to improve cost effectiveness, probability of success and survival rates. Copyright © 2012 Elsevier Ltd. All rights reserved.
Linear programming mathematics, theory and algorithms
1996-01-01
Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.
Driessche, Pauline; Wu, Jianhong
2008-01-01
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downlo...
Comparative Medicine: An Inclusive Crossover Discipline.
Macy, James; Horvath, Tamas L
2017-09-01
Comparative Medicine is typically defined as a discipline which relates and leverages the biological similarities and differences among animal species to better understand the mechanism of human and animal disease. It has also been defined as a field of study concentrating on similarities and differences between human and veterinary medicine and is increasingly associated with animal models of human disease, including the critical role veterinarians, animal resource centers, and Institutional Animal Care and Use Committees play in facilitating and ensuring humane and reproducible laboratory animal care and use. To this end, comparative medicine plays a pivotal role in reduction, refinement, and replacement in animals in biomedical research. On many levels, comparative medicine facilitates the translation of basic science knowledge into clinical applications; applying comparative medicine concepts throughout the translation process is critical for success. In addition to the supportive role of comparative medicine in the research enterprise, its role as a distinct and independent scientific discipline should not be lost. Although comparative medicine's research "niche" is not one particular discipline or disease process, rather, it is the investigative mindset that seeks to reveal common threads that weave different pathophysiologic processes into translatable approaches and outcomes using various models.
Parents about disciplining their children
Zakrajšek, Ines
2012-01-01
The main topic of this undergraduate dissertation is the disciplining of children in the family. The theoretical part provides deliberations on contemporary upbringing, definitions of different upbringing styles and the presentation of effects of particular upbringing styles on the development of a child. If just a couple of decades ago the authoritarian or the repressive upbringing style with the focus on an obedient individual was predominant, experts today warn about the expansion of anoth...
Aktan, A. Emin
2003-08-01
Although the interconnected systems nature of the infrastructures, and the complexity of interactions between their engineered, socio-technical and natural constituents have been recognized for some time, the principles of effectively operating, protecting and preserving such systems by taking full advantage of "modeling, simulations, optimization, control and decision making" tools developed by the systems engineering and operations research community have not been adequately studied or discussed by many engineers including the writer. Differential and linear equation systems, numerical and finite element modeling techniques, statistical and probabilistic representations are universal, however, different disciplines have developed their distinct approaches to conceptualizing, idealizing and modeling the systems they commonly deal with. The challenge is in adapting and integrating deterministic and stochastic, geometric and numerical, physics-based and "soft (data-or-knowledge based)", macroscopic or microscopic models developed by various disciplines for simulating infrastructure systems. There is a lot to be learned by studying how different disciplines have studied, improved and optimized the systems relating to various processes and products in their domains. Operations research has become a fifty-year old discipline addressing complex systems problems. Its mathematical tools range from linear programming to decision processes and game theory. These tools are used extensively in management and finance, as well as by industrial engineers for optimizing and quality control. Progressive civil engineering academic programs have adopted "systems engineering" as a focal area. However, most of the civil engineering systems programs remain focused on constructing and analyzing highly idealized, often generic models relating to the planning or operation of transportation, water or waste systems, maintenance management, waste management or general infrastructure hazards
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
Connecting Mathematics in Primary Science Inquiry Projects
So, Winnie Wing-mui
2013-01-01
Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…
Mathematical Lens: How Much Can You Bench?
Bolognese, Chris A.
2013-01-01
"How Much Can You Bench?" appears in the "Mathematical Lens" section of "Mathematics Teacher." "Mathematical Lens" uses photographs as a springboard for mathematical inquiry and appears in every issue of "Mathematics Teacher." This month the mathematics behind the photograph includes finding areas…
Toward a general ontology for digital forensic disciplines.
Karie, Nickson M; Venter, Hein S
2014-09-01
Ontologies are widely used in different disciplines as a technique for representing and reasoning about domain knowledge. However, despite the widespread ontology-related research activities and applications in different disciplines, the development of ontologies and ontology research activities is still wanting in digital forensics. This paper therefore presents the case for establishing an ontology for digital forensic disciplines. Such an ontology would enable better categorization of the digital forensic disciplines, as well as assist in the development of methodologies and specifications that can offer direction in different areas of digital forensics. This includes such areas as professional specialization, certifications, development of digital forensic tools, curricula, and educational materials. In addition, the ontology presented in this paper can be used, for example, to better organize the digital forensic domain knowledge and explicitly describe the discipline's semantics in a common way. Finally, this paper is meant to spark discussions and further research on an internationally agreed ontological distinction of the digital forensic disciplines. Digital forensic disciplines ontology is a novel approach toward organizing the digital forensic domain knowledge and constitutes the main contribution of this paper. © 2014 American Academy of Forensic Sciences.
The Spectrum of Mathematical Models.
Karplus, Walter J.
1983-01-01
Mathematical modeling problems encountered in many disciplines are discussed in terms of the modeling process and applications of models. The models are classified according to three types of abstraction: continuous-space-continuous-time, discrete-space-continuous-time, and discrete-space-discrete-time. Limitations in different kinds of modeling…
Mathematics for sustainability
Roe, John; Jamshidi, Sara
2018-01-01
Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the...
African Journals Online (AJOL)
MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.
House, Peggy A.
1994-01-01
Describes some mathematical investigations of the necktie which includes applications of geometry, statistics, data analysis, sampling, probability, symmetry, proportion, problem solving, and business. (MKR)
Mathematical fallacies and paradoxes
Bunch, Bryan
1982-01-01
Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
Mathematical Intelligence and Mathematical Creativity: A Causal Relationship
Tyagi, Tarun Kumar
2017-01-01
This study investigated the causal relationship between mathematical creativity and mathematical intelligence. Four hundred thirty-nine 8th-grade students, age ranged from 11 to 14 years, were included in the sample of this study by random cluster technique on which mathematical creativity and Hindi adaptation of mathematical intelligence test…
DEFF Research Database (Denmark)
Triantafyllou, Eva; Timcenko, Olga
2014-01-01
This paper explores the opportunities and challenges of integrating technology to support mathematics teaching and learning in creative engineer- ing disciplines. We base our discussion on data from our research in the Media Technology department of Aalborg University Copenhagen, Denmark. Our ana...... analysis proposes that unlike in other engineering disciplines, technology in these disciplines should be used for contextualizing mathematics rather than in- troducing and exploring mathematical concepts....
Architecture and mathematics from antiquity to the future
2015-01-01
The aim of this collection of essays is to present a broad portrait of the ways in which two seemingly different disciplines are interconnected. The diversity and varied texture of the essays richly illustrates the affinity between architecture and mathematics. As the almost 100 papers presented in this two-volume publication show, every age and every culture has relied on principles of mathematics incorporated in their works of architecture to imbue their built environment with meaning and order. Included are discussions of geometry, proportional systems, linear algebra, periodic and aperiodic tilings, fractals, perspective, computer science and mechanics. Western architecture of every period is examined: Egyptian, Roman, Medieval, Renaissance, Baroque, Enlightenment, twentieth-century and beyond, as is the architecture of Turkey, China, India, Japan, Australia and Islam. The mathematical nature of the architecture of Leon Battista Alberti, Andrea Palladio and Frank Lloyd Wright is examined, and the philosop...
Teaching mathematics to non-mathematicians
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Timcenko, Olga
2017-01-01
Over the past years, a number of engineering programs have arisen that transcend the division between technical, scientific and art-related disciplines. Media Technology at Aalborg University, Denmark is such an engineering program. In relation to mathematics education, this new development has...... changed the way mathematics is applied in practice and is taught in these disciplines. This paper discusses a doctoral dissertation that investigated and assessed interventions to increase student motivation and engagement in mathematics among Media Technology students. The results of this dissertation...
Mathematics for physical chemistry
Mortimer, Robert G
2013-01-01
Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, wit
Fundamental concepts of mathematics
Goodstein, R L
Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people
Jourdain, Philip E B
2007-01-01
Anyone with an interest in mathematics will welcome the republication of this little volume by a remarkable mathematician who was also a logician, a philosopher, and an occasional writer of fiction and poetry. Originally published in 1913, and later included in the acclaimed anthology The World of Mathematics, Jourdain's survey shows how and why the methods of mathematics were developed, traces the development of mathematical science from the earliest to modern times, and chronicles the application of mathematics to natural science.Starting with the ancient Egyptians and Greeks, the author p
Nanoclusters a bridge across disciplines
Jena, Purusottam
2010-01-01
This comprehensive book on Nanoclusters comprises sixteen authoritative chapters written by leading researchers in the field. It provides insight into topics that are currently at the cutting edge of cluster science, with the main focus on metal and metal compound systems that are of particular interest in materials science, and also on aspects related to biology and medicine. While there are numerous books on clusters, the focus on clusters as a bridge across disciplines sets this book apart from others. Delivers cutting edge coverage of cluster science Covers a broad range of topics in
[At the limits of discipline].
Kadi, Barbara U; Ruhs, August; Löffler-Stastka, Henriette
2012-01-01
According to Foucault, in medicine, the paradigm of discipline has outweighed the paradigm of sovereignty for over a hundred years now. It has become clear, however, that within the field of psychiatry, particularly in psychoanalytic and psychotherapeutic research, an interchangeable corpus of knowledge is not sufficient for the treatment of patients. Moreover, it is often the changing relationship between doctor and patient which seems to be crucial to the process and outcome of the treatment. Every treatment-relationship must be understood as a zone of transference. Psychoanalytic research on transference, its potential and pitfalls, therefore, has to be more integrated into the research of psychic disorders.
Behavior analysis and neuroscience: Complementary disciplines.
Donahoe, John W
2017-05-01
Behavior analysis and neuroscience are disciplines in their own right but are united in that both are subfields of a common overarching field-biology. What most fundamentally unites these disciplines is a shared commitment to selectionism, the Darwinian mode of explanation. In selectionism, the order and complexity observed in nature are seen as the cumulative products of selection processes acting over time on a population of variants-favoring some and disfavoring others-with the affected variants contributing to the population on which future selections operate. In the case of behavior analysis, the central selection process is selection by reinforcement; in neuroscience it is natural selection. The two selection processes are inter-related in that selection by reinforcement is itself the product of natural selection. The present paper illustrates the complementary nature of behavior analysis and neuroscience through considering their joint contributions to three central problem areas: reinforcement-including conditioned reinforcement, stimulus control-including equivalence classes, and memory-including reminding and remembering. © 2017 Society for the Experimental Analysis of Behavior.
Discipline and Punishment: What is the Difference?
Telep, Valya Goodwin, 1955-
2009-01-01
This series of lessons was prepared for parents like you - parents who want to do a better job of disciplining their children. The lessons were especially written for parents of preschool children, ages two to six, but some of the discipline methods are appropriate for older children, too. This lesson focuses on the difference between discipline and punishment.
Discipline in the Classroom. Revised Edition.
National Education Association, Washington, DC.
The articles in this booklet reflect a broad spectrum in their approach to discipline and the teaching process. Even though discipline is now called classroom control, these articles indicate that some educators question the desirability of precise prescription in the classroom. Running through the articles is a common thread: discipline is less…
Mathematics for the liberal arts
Bindner, Donald; Hemmeter, Joe
2014-01-01
Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes workNumerous figures and diagrams as well as hundreds of worked example...
Mathematics, anxiety, and the brain.
Moustafa, Ahmed A; Tindle, Richard; Ansari, Zaheda; Doyle, Margery J; Hewedi, Doaa H; Eissa, Abeer
2017-05-24
Given that achievement in learning mathematics at school correlates with work and social achievements, it is important to understand the cognitive processes underlying abilities to learn mathematics efficiently as well as reasons underlying the occurrence of mathematics anxiety (i.e. feelings of tension and fear upon facing mathematical problems or numbers) among certain individuals. Over the last two decades, many studies have shown that learning mathematical and numerical concepts relies on many cognitive processes, including working memory, spatial skills, and linguistic abilities. In this review, we discuss the relationship between mathematical learning and cognitive processes as well as the neural substrates underlying successful mathematical learning and problem solving. More importantly, we also discuss the relationship between these cognitive processes, mathematics anxiety, and mathematics learning disabilities (dyscalculia). Our review shows that mathematical cognition relies on a complex brain network, and dysfunction to different segments of this network leads to varying manifestations of mathematical learning disabilities.
Mathematical Footprints Discovering Mathematics Everywhere
Pappas, Theoni
1999-01-01
MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent
Integrating Mathematics and Science: Ecology and Venn Diagrams
Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca
2014-01-01
Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…
2016-01-01
This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance i...
Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course
Ernest, Jessica Brooke
It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the
Mathematization in introductory physics
Brahmia, Suzanne M.
Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in
VARIETIES OF SOCIAL DISCIPLINING, HISTORICAL PERSPECTIVES.
Directory of Open Access Journals (Sweden)
Tomás A. Mantecón Movellán
2011-04-01
Full Text Available Historical thought has tended to explain social disciplining according to two main analytical perspectives: on one hand, German tradition about the so-called sozialdisziplinierung and, on the other hand, Foucault perspectives (focussed on disciplines practiced on the bodies-and/or-minds of people by the authorities. From these both viewpoints social disciplining was a dynamic ingredient of change, from traditional societies up to contemporary liberal societies; a machinery to provoke top-down changes (from above. On the bases of historical evidences, this research claims for a third viewpoint that stresses dynamics of social discipline and social disciplining from below; underlines the need of integrating this third perspective in the historical explanation of change in past societies throughout the analysis of social practices of everyday life; the values underneath them and, in the end, taking into account varieties of discipline and perspectives of social disciplining from below.
Austerity, Discipline and Social Security
Directory of Open Access Journals (Sweden)
Asja Hrvatin
2013-03-01
Full Text Available One of the manifestations of the global crisis of financial capitalism and the policies arising from it was the imposition of austerity measures, which not only resulted in privatization of the commons and general expropriation of the people, but also managed to introduce new mechanisms of discipline and punishment. Debt, being the fundament of relations in society, forced itself into the system of social security: new legislation, regulating welfare benefits, has now shifted to a method for the criminalization of poverty, deepening class differences and transforming social workers (and the system of social security as a whole into a moralizing, bureaucratic machine for disciplining the population. The new legislation also shows a lack of reflection on the changes that need to be made to the welfare state in order to create social services that meet the needs and desires of individuals. Instead of improvements that provide decent living conditions and a new system of social rights (to deal with the problems resulting from precarious working conditions, people are faced with depersonalization, humiliation and increased hate speech and other fascist practices. The effect of austerity measures on the social security system does not end with the devastation of service users’ lives and their communities, which are slowly becoming exhausted, individualized and devoid of solidarity. It also means a big step backwards for the core ethics and principles of social work. Social workers are increasingly alienated from their clients and the communities they live in. They function more in the service of the government and its policies rather than as advocates of people’s rights.
The History of Mathematics and Mathematical Education
Grattan-Guinness, I.
1977-01-01
Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)
Mathematical Sciences Institute Workshop
Scott, Philip
1990-01-01
A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions ...
Mathematical challenges from theoretical/computational chemistry
Energy Technology Data Exchange (ETDEWEB)
NONE
1995-12-31
The committee believes that this report has relevance and potentially valuable suggestions for a wide range of readers. Target audiences include: graduate departments in the mathematical and chemical sciences; federal and private agencies that fund research in the mathematical and chemical sciences; selected industrial and government research and development laboratories; developers of software and hardware for computational chemistry; and selected individual researchers. Chapter 2 of this report covers some history of computational chemistry for the nonspecialist, while Chapter 3 illustrates the fruits of some past successful cross-fertilization between mathematical scientists and computational/theoretical chemists. In Chapter 4 the committee has assembled a representative, but not exhaustive, survey of research opportunities. Most of these are descriptions of important open problems in computational/theoretical chemistry that could gain much from the efforts of innovative mathematical scientists, written so as to be accessible introductions to the nonspecialist. Chapter 5 is an assessment, necessarily subjective, of cultural differences that must be overcome if collaborative work is to be encouraged between the mathematical and the chemical communities. Finally, the report ends with a brief list of conclusions and recommendations that, if followed, could promote accelerated progress at this interface. Recognizing that bothersome language issues can inhibit prospects for collaborative research at the interface between distinctive disciplines, the committee has attempted throughout to maintain an accessible style, in part by using illustrative boxes, and has included at the end of the report a glossary of technical terms that may be familiar to only a subset of the target audiences listed above.
Andreescu, Titu; Tetiva, Marian
2017-01-01
Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...
Topics in mathematical analysis and applications
Tóth, László
2014-01-01
This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.
Wright, S. J.; Fosmire, M.; Jeffryes, J.; Stowell Bracke, M.; Westra, B.
2012-12-01
What data stewardship skills are needed by future scientists to fulfill their professional responsibilities and take advantage of opportunities in e-science? How can academic librarians contribute their expertise in information organization, dissemination and preservation to better serve modern science? With support from the Institute of Museum and Library Services (IMLS), four research libraries have formed a partnership to address these questions. The aims of the partnership are to identify the data stewardship skills, including data management and curation, needed by graduate students at the research discipline level, to identify trends that extend across the Science, Technology, Engineering, and Mathematics (STEM) disciplines, and to collaborate with faculty to develop and implement "data information literacy" (DIL) curricula to address those needs. Over the course of the first year, the authors have been working closely with faculty in hydrology, civil engineering, ecology/environmental science, and natural resources. At the outset, we performed structured interviews with faculty and graduate students using a modified version of the Data Curation Profiles Toolkit (http://datacurationprofiles.org) to gather detailed information about the practices, limitations, needs, and opportunities for improving data management and curation practices in each group. Project teams also conducted discipline-based literature reviews and environmental scans of the available resources pertaining to data management and curation issues to identify how (or if) these topics are currently addressed by the discipline. The results were used to develop and implement specific instructional interventions attuned to the needs of each research group. We will share the results of our interviews and information-gathering, summarizing similarities and differences in the data stewardship needs expressed by the graduate students and faculty from different STEM disciplines. We will also discuss
NATO Advanced Research Workshop on Exploiting Mental Imagery with Computers in Mathematics Education
Mason, John
1995-01-01
The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
Conflict Resolution and Peace Education: Transformations across Disciplines
Carter, Candice C., Ed.
2012-01-01
Peace education includes lessons about conflict sources, transformation and resolution. While featuring field-based examples in multiple disciplines, including political science, anthropology, communication, psychology, sociology, counseling, law and teacher training, this book presents real cases of conflict work. Explained are concepts…
Comparing Emerging XML Based Formats from a Multi-discipline Perspective
Sawyer, D. M.; Reich, L. I.; Nikhinson, S.
2002-12-01
This paper analyzes the similarity and differences among several examples of an emerging generation of Scientific Data Formats that are based on XML technologies. Some of the factors evaluated include the goals of these efforts, the data models, and XML technologies used, and the maturity of currently available software. This paper then investigates the practicality of developing a single set of structural data objects and basic scientific concepts, such as units, that could be used across discipline boundaries and extended by disciplines and missions to create Scientific Data Formats for their communities. This analysis is partly based on an effort sponsored by the ESDIS office at GSFC to compare the Earth Science Markup Language (ESML) and the eXtensible Data Format( XDF), two members of this new generation of XML based Data Description Languages that have been developed by NASA funded efforts in recent years. This paper adds FITSML and potentially CDFML to the list of XML based Scientific Data Formats discussed. This paper draws heavily a Formats Evolution Process Committee (http://ssdoo.gsfc.nasa.gov/nost/fep/) draft white paper primarily developed by Lou Reich, Mike Folk and Don Sawyer to assist the Space Science community in understanding Scientific Data Formats. One of primary conclusions of that paper is that a scientific data format object model should be examined along two basic axes. The first is the complexity of the computer/mathematical data types supported and the second is the level of scientific domain specialization incorporated. This paper also discusses several of the issues that affect the decision on whether to implement a discipline or project specific Scientific Data Format as a formal extension of a general purpose Scientific Data Format or to implement the APIs independently.
Small-Group Learning in Undergraduate STEM Disciplines: Effect of Group Type on Student Achievement
Micari, Marina; Pazos, Pilar; Streitwieser, Bernhard; Light, Gregory
2010-01-01
Small-group learning in the science, technology, engineering, and mathematics (STEM) disciplines has been widely studied, and it is clear that this method offers many benefits to students. Less attention has been paid to the ways in which small learning groups differ from one another, and how these differences may affect student learning and…
Latino Faculty in STEM Disciplines: Motivation to Engage in Research Activities
Lechuga, Vicente M.
2012-01-01
The scarcity of underrepresented faculty members in the science, technology, engineering, and mathematics (STEM) disciplines is an issue of great concern to education researchers and scholars alike. Despite their low representation, many minority faculty are able to remain motivated, even when facing barriers due to their ethnicity. I present…
McCoy, Dorian L.; Luedke, Courtney L.; Winkle-Wagner, Rachelle
2017-01-01
For this multisite qualitative case study, framed in Bourdieu's social reproduction theory, we examined mentoring experiences among Students of Color majoring in science, technology, engineering and mathematics (STEM) disciplines at both a predominantly White institution and a historically Black institution. Findings revealed that faculty served…
Parental views and experiences on child discipline
Hlad, Maja
2014-01-01
This thesis is divided in two parts, theoretical and empirical. Theoretical part explains in detail, different methods of disciplining children and ways in which disciplining effects different areas of child development. Furthermore, ways of setting rules and boundaries in a family environment are studied, and disciplinary approaches and ways of reacting towards misbehaving children are examined. Moreover, the theoretical part contains psychological theories about discipline, child behaviour ...
Plofker, Kim
2009-01-01
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic sc
Kuipers, L
1969-01-01
International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examp
Nash, Jr, John Forbes
2016-01-01
The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer sc...
Optometry: a discipline of knowledge
Kedzia, Boleslaw
1998-10-01
Optometry is a branch of science whose roots are in optics development as well as in physiology development. Among Polish scholars, whose names are firmly engraved in the history of optometry, two names should be mentioned first, they are Witelo (1237 - 1290) and Majer (1808 - 1899). Contemporary optometry began around the turn of the 19th and 20th century in the United States of America where some states erected legal regulations for those opticians who were performing refractions. Since 1993 optometry has been defined by the World Council of Optometry as a health care profession which is autonomous, educated and regulated (licensed/registered). Nevertheless, the question arises: Is optometry a separate part of science or is it only a set of practical procedures useful in vision care? In other words: does optometry have a system of definitions, laws and hypothesis with such logical interrelations that all less general statements may be derived from the most general? Even at this moment the system is not fully developed, yet we can say that optometry is a set of statements important and enough proved to be taught at the university level, being a category by itself and being sufficiently rich to be a subject for teaching as separate discipline.
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
How to solve mathematical problems
Wickelgren, Wayne A
1995-01-01
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Mathematics Education and Language Diversity
DEFF Research Database (Denmark)
Moschkovich, Judit; Planas, Nuria
This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf...
Synthetic biology: an emerging engineering discipline.
Cheng, Allen A; Lu, Timothy K
2012-01-01
Over the past decade, synthetic biology has emerged as an engineering discipline for biological systems. Compared with other substrates, biology poses a unique set of engineering challenges resulting from an incomplete understanding of natural biological systems and tools for manipulating them. To address these challenges, synthetic biology is advancing from developing proof-of-concept designs to focusing on core platforms for rational and high-throughput biological engineering. These platforms span the entire biological design cycle, including DNA construction, parts libraries, computational design tools, and interfaces for manipulating and probing synthetic circuits. The development of these enabling technologies requires an engineering mindset to be applied to biology, with an emphasis on generalizable techniques in addition to application-specific designs. This review aims to discuss the progress and challenges in synthetic biology and to illustrate areas where synthetic biology may impact biomedical engineering and human health.
Differences in Collaboration Patterns across Discipline, Career Stage, and Gender.
Directory of Open Access Journals (Sweden)
Xiao Han T Zeng
2016-11-01
Full Text Available Collaboration plays an increasingly important role in promoting research productivity and impact. What remains unclear is whether female and male researchers in science, technology, engineering, and mathematical (STEM disciplines differ in their collaboration propensity. Here, we report on an empirical analysis of the complete publication records of 3,980 faculty members in six STEM disciplines at select U.S. research universities. We find that female faculty have significantly fewer distinct co-authors over their careers than males, but that this difference can be fully accounted for by females' lower publication rate and shorter career lengths. Next, we find that female scientists have a lower probability of repeating previous co-authors than males, an intriguing result because prior research shows that teams involving new collaborations produce work with higher impact. Finally, we find evidence for gender segregation in some sub-disciplines in molecular biology, in particular in genomics where we find female faculty to be clearly under-represented.
Computational statistics and biometry: which discipline drives which?
Directory of Open Access Journals (Sweden)
Edler, Lutz
2005-06-01
Full Text Available A biometrician's work is defined through the biological or medical problem and the mathematical and statistical methods needed for its solution. This requires in most instances statistical data analysis and the use of methods of computational statistics. At first, it seems quite obvious that the computational needs of the biometric problem determine what has to be developed by the discipline of computational statistics. However, viewing the development of biometry and computational statistics in Germany for the past decades in more details reveals an interesting interaction between the activities of the German Region of the International Biometric Society and groups engaged in computational statistics within Germany. Exact methods of statistical inference and permutation tests, simulations and the use of the Bootstrap, and interactive graphical statistical methods are examples of this fruitful reciprocal benefit. This contribution examines therefore relationships between the historical development of biometry and computational statistics in Germany using as sources of information contributions to the scientific literature, presentations and sessions at scientific conferences on biometry and on computational statistics which influenced the development of both disciplines and exhibits a reciprocal dependency. The annual workshops organized on the Reisensburg now for more than 30 years are recognized as an outstanding factor of this interrelationship. This work aims at the definition of the present status of computational statistics in the German Region of the International Biometric Society and intends to guide and to foster the discussion of the future development of this discipline among biometricians.
Trinajstić, Nenad; Gutman, Ivan
2002-01-01
A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
Seeley, Cathy
2004-01-01
This article addresses some important issues in mathematics instruction at the middle and secondary levels, including the structuring of a district's mathematics program; the choice of textbooks and use of calculators in the classroom; the need for more rigorous lesson planning practices; and the dangers of teaching to standardized tests rather…
Corle, Clyde G.
This guide is to assist teachers with motivational ideas for teaching elementary school mathematics. The items included are a wide variety of games (paper and pencil, verbal, and physical), jingles, contests, teaching devices, and thought provoking exercises. Suggestions for selection of mathematical games are offered. The devices are used to…
African Journal of Educational Studies in Mathematics and Sciences ...
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...
New trends and advanced methods in interdisciplinary mathematical sciences
2017-01-01
The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.
9th International Congress on Mathematical Education
Hashimoto, Yoshihiko; Hodgson, Bernard; Lee, Peng; Lerman, Stephen; Sawada, Toshio
2004-01-01
Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Mathematics education in contrast has a variable and culturally based character, and this is certainly true of educational organization and practice. Educational research is both an applied social science and a multidisciplinary domain of theoretical scholarship. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of ed...
Mankiewicz, Richard
2000-01-01
Questioning how mathematics has evolved over the centuries and for what reasons; how human endeavour and changes in the way we live have been dependent on mathematics, this book tells the story of the impact this intellectual activity has had across cultures and civilizations. It shows how, far from being just the obsession of an elite group of philosophers, priests and scientists, mathematics has in some shape or other entered every area of human activity. The mysterious tally sticks of prehistoric peoples and the terrestial maps used for trade, exploration and warfare; the perennial fascination with the motions of heavenly bodies and changing perspectives on the art and science of vision; all are testament to a mathematics at the heart of history. The path of this changing discipline is marked by a wealth of images, from medieval manuscripts to the unsettling art of Dali or Duchamp, from the austere beauty of Babylonian clay tablets to the delicate complexity of computer-generated images. The text encompass...
Mathematical Cultures : the London Meetings 2012-2014
2016-01-01
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Mathematical Rigor in Introductory Physics
Vandyke, Michael; Bassichis, William
2011-10-01
Calculus-based introductory physics courses intended for future engineers and physicists are often designed and taught in the same fashion as those intended for students of other disciplines. A more mathematically rigorous curriculum should be more appropriate and, ultimately, more beneficial for the student in his or her future coursework. This work investigates the effects of mathematical rigor on student understanding of introductory mechanics. Using a series of diagnostic tools in conjunction with individual student course performance, a statistical analysis will be performed to examine student learning of introductory mechanics and its relation to student understanding of the underlying calculus.
DEFF Research Database (Denmark)
Blomhøj, Morten
2004-01-01
Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...
Mathematical Modeling and Pure Mathematics
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
The Law of Student Discipline in Malaysia
Hee, Tie Fatt
2008-01-01
Judicial review of decisions on student discipline is limited in Malaysia. This arises because of the general presumption that in the enforcement of school discipline, educators are able to act in the best interest of the student to maintain a safe learning environment. This article examines the range of disciplinary measures in Malaysian schools…
Disciplines in the Service of Educational Thought.
Winchester, Ian
1999-01-01
Suggests that the 20th century has been the century of the application of disciplines - philosophy, psychology, history, sociology, statistics, cognitive science, and computer science - to educational thought on an unprecedented scale. The same disciplines, in the service of the study of women by women, have led to a whole new complex of thought…
Reading and Quality Discipline in the Classroom.
Ediger, Marlow
Time spent on disciplining children in the classroom is time taken away from achieving the objectives of instruction. The classroom teacher needs to have appropriate guidelines to use in teaching as well as specific workable procedures which help students to achieve. This paper discusses various methods of classroom discipline. The paper first…
Producing "Docile Bodies": Disciplining Citizen-Subjects
Stewart, Dafina-Lazarus
2017-01-01
The US academy has been anti-democratic in philosophy and practice from its inception, seeking to discipline students as docile bodies cooperative with a white supremacist status quo. This Foucauldian analysis highlights how the academy's historical and ongoing enforcement of discipline and normalizing judgments made the outcome of the 2016 US…
Effective Discipline in the Home and School.
Painter, Genevieve; Corsini, Raymond J.
Based originally on the work of the Austrian psychiatrist, Alfred Adler, work which was further developed by Rudolph Dreikurs, this book Dreikurs, this book offers solutions to specific child discipline problems. Part I focuses on effective discipline in the home. These topics are covered: fundamentals of practical parenting; problems of routine…
School Discipline, School Uniforms and Academic Performance
Baumann, Chris; Krskova, Hana
2016-01-01
Purpose: The purpose of this paper is to examine the role of school discipline in achieving academic performance. The study aims to clarify the role of permissive "vis-à-vis" authoritative teaching styles with an overarching hypothesis that better discipline leads to better academic performance. The authors also probe whether uniformed…
Are Students' Learning Styles Discipline Specific?
Jones, Cheryl; Reichard, Carla; Mokhtari, Kouider
2003-01-01
This study examines the extent to which community college students' learning style preferences vary as a function of discipline. Reports significant differences in students' learning style preferences across disciplines, but not by gender. Adds that student learning style preferences varied by academic performance as measured by gender. Discusses…
Procedural Due Process Rights in Student Discipline.
Pressman, Robert; Weinstein, Susan
To assist administrators in understanding procedural due process rights in student discipline, this manual draws together hundreds of citations and case summaries of federal and state court decisions and provides detailed commentary as well. Chapter 1 outlines the general principles of procedural due process rights in student discipline, such as…
Ethics and Reverence for the Discipline of Nursing.
Milton, Constance L
2017-01-01
Healthcare disciplines, including nursing, are emerging sciences that contain discipline-specific theories that guide the activities of research, practice, and education. The term nursing science calls forth meaning that has long been accepted and referred to as the extant nursing theories undergirded with philosophy of science. Recent writings dispute the purposes and future usage of nursing theoretical frameworks in the science of nursing. The author of this article proposes new thinking about the importance of reverence and ethical implications for the future of formal inquiry in nursing science.
Different Strokes for Different Folks: Visual Presentation Design between Disciplines.
Gomez, S R; Jianu, R; Ziemkiewicz, C; Guo, Hua; Laidlaw, D H
2012-12-01
We present an ethnographic study of design differences in visual presentations between academic disciplines. Characterizing design conventions between users and data domains is an important step in developing hypotheses, tools, and design guidelines for information visualization. In this paper, disciplines are compared at a coarse scale between four groups of fields: social, natural, and formal sciences; and the humanities. Two commonplace presentation types were analyzed: electronic slideshows and whiteboard "chalk talks". We found design differences in slideshows using two methods - coding and comparing manually-selected features, like charts and diagrams, and an image-based analysis using PCA called eigenslides. In whiteboard talks with controlled topics, we observed design behaviors, including using representations and formalisms from a participant's own discipline, that suggest authors might benefit from novel assistive tools for designing presentations. Based on these findings, we discuss opportunities for visualization ethnography and human-centered authoring tools for visual information.
Pursuing Discipline and Ethical Issues in Tertiary Institutions in Nigeria
African Journals Online (AJOL)
Such courses include laxity in home control and parental supervision, school, teacher and societal factors as well as government influence. The paper recommended among others such strategies as enculturation, acculturation as well as acquisition of a certain number of generic skills for dealing with discipline and ethical ...
Physical Education & Outdoor Education: Complementary but Discrete Disciplines
Martin, Peter; McCullagh, John
2011-01-01
The Australian Council for Health, Physical Education and Recreation (ACHPER) includes Outdoor Education (OE) as a component of Physical Education (PE). Yet Outdoor Education is clearly thought of by many as a discrete discipline separate from Physical Education. Outdoor Education has a body of knowledge that differs from that of Physical…
Cosmic Rays Astrophysics: The Discipline, Its Scope, and Its Applications
Barghouty, A. F.
2009-01-01
This slide presentation gives an overview of the discipline surrounding cosmic ray astrophysics. It includes information on recent assertions surrounding cosmic rays, exposure levels, and a short history with specific information on the origin, acceleration, transport, and modulation of cosmic rays.
Can an ethical work climate influence payment discipline?
Directory of Open Access Journals (Sweden)
Tanja Salamon
2016-02-01
Full Text Available Purpose: All European companies are faced with the lack of payment discipline, which often affects even their survival. One of the key reasons for the lack of payment discipline is poor business ethics, which is primarily introduced with the subject of ethical climate in the literature. For this reason, we wanted to determine whether a company's ethical climate influences its payment discipline.Design/methodology/approach: In the research, we used Arnaud's measurement instrument (2010 that helped us to identify six dimensions of ethical climate. The data about a company’s ethical climate were later compared with the data about its payment discipline, calculated using the Dun & Bradstreet rating agency methodology. We included in the sample 273 Slovenian companies, which represented 9.1% of all companies invited to take part in the survey (2978 Slovenian enterprises with 10 or more employees.Findings: We established that (among the six dimensions of the ethical climate the dimension “moral sensitivity – the lack of norms of empathetic concern” had statistically significant influence on the average delay of payment, and the more significant for the company the lack of norms of empathetic concern was, the longer the delay of the payment to suppliers would be. Our conclusion is that the appropriate forms of the incorporation of training and education on ethical subjects into business studies may increase the payment discipline of companies.Originality/value: The present study represents an important contribution to understanding the causes of payment defaults. The study also includes non-financial antecedents of payment discipline, which represents a new, important contribution of the research.
Can an ethical work climate influence payment discipline?
Energy Technology Data Exchange (ETDEWEB)
Salamon, T.; Mesko, M.
2016-07-01
Purpose: All European companies are faced with the lack of payment discipline, which often affects even their survival. One of the key reasons for the lack of payment discipline is poor business ethics, which is primarily introduced with the subject of ethical climate in the literature. For this reason, we wanted to determine whether a company’s ethical climate influences its payment discipline. Design/methodology/approach: In the research, we used Arnaud’s measurement instrument (2010) that helped us to identify six dimensions of ethical climate. The data about a company’s ethical climate were later compared with the data about its payment discipline, calculated using the Dun & Bradstreet rating agency methodology. We included in the sample 273 Slovenian companies, which represented 9.1% of all companies invited to take part in the survey (2978 Slovenian enterprises with 10 or more employees). Findings: We established that (among the six dimensions of the ethical climate) the dimension “moral sensitivity – the lack of norms of empathetic concern” had statistically significant influence on the average delay of payment, and the more significant for the company the lack of norms of empathetic concern was, the longer the delay of the payment to suppliers would be. Our conclusion is that the appropriate forms of the incorporation of training and education on ethical subjects into business studies may increase the payment discipline of companies. Originality/value: The present study represents an important contribution to understanding the causes of payment defaults. The study also includes non-financial antecedents of payment discipline, which represents a new, important contribution of the research. (Author)
Connecting biology and mathematics: first prepare the teachers.
Sorgo, Andrej
2010-01-01
Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers.
Connecting Biology and Mathematics: First Prepare the Teachers
2010-01-01
Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers. PMID:20810951
Stöltzner, Michael
Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.
Experimental Mathematics and Computational Statistics
Energy Technology Data Exchange (ETDEWEB)
Bailey, David H.; Borwein, Jonathan M.
2009-04-30
The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article we explore connections between statistics and the emerging field of 'experimental mathematics'. These includes both applications of experimental mathematics in statistics, as well as statistical methods applied to computational mathematics.
Pittayachawan, Siddhi; Macauley, Peter; Evans, Terry
2016-01-01
This article reports how statistical analyses of PhD thesis records can reveal future research capacities for disciplines beyond their primary fields. The previous research showed that most theses contributed to and/or used methodologies from more than one discipline. In Australia, there was a concern for declining mathematical teaching and…
Mathematical games, abstract games
Neto, Joao Pedro
2013-01-01
User-friendly, visually appealing collection offers both new and classic strategic board games. Includes abstract games for two and three players and mathematical games such as Nim and games on graphs.
Farlow, Stanley J
2014-01-01
Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 28 conundrums, including The Curve That Shook the World, Space Travel in a Wineglass, and Through Cantor's Looking Glass.
Advanced engineering mathematics
Jeffrey, Alan
2001-01-01
Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) th...
Mathematics of aperiodic order
Lenz, Daniel; Savinien, Jean
2015-01-01
What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomolog...
Canadian Mathematical Congress
1977-01-01
For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical re searchers. To accomplish these objective the committee assembled a stim ulating programme of lectures and talks. Six ...
Aigner, Martin; Spain, Philip G
2010-01-01
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde
Jothi, A Lenin
2009-01-01
Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m
Pappas, Theoni
1997-01-01
In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions
Stroud, K A
2013-01-01
A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.
Archival Discipline in Dewey Decimal Classification
Directory of Open Access Journals (Sweden)
Laura Manzoni
2017-05-01
Full Text Available This paper regards the ways archival discipline is treated in DDC. After a short introduction about the discipline in Italy, the essay focuses on the analysis of division 020 of DDC 23, with specific attention to section 025 and with punctual reference to section 651, concerning archival material. The aim of the paper is to point out archival discipline’s peculiarities and its differences from library science, as well as underlining the critical issues on how this discipline is handled in DDC.
Lowe, James; Carter, Merilyn; Cooper, Tom
2018-01-01
Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…
Habsah, Fitria
2017-01-01
This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental cla...
Energy Technology Data Exchange (ETDEWEB)
Lepore, J.V. (ed.)
1977-01-01
This annual report of the Physics, Computer Science and Mathematics Division describes the scientific research and other work carried out within the Division during 1977. The Division is concerned with work in experimental and theoretical physics, with computer science and applied mathematics, and with the operation of a computer center. The major physics research activity is in high-energy physics, although there is a relatively small program of medium-energy research. The High Energy Physics research program in the Physics Division is concerned with fundamental research which will enable man to comprehend the nature of the physical world. The major effort is now directed toward experiments with positron-electron colliding beam at PEP. The Medium Energy Physics program is concerned with research using mesons and nucleons to probe the properties of matter. This research is concerned with the study of nuclear structure, nuclear reactions, and the interactions between nuclei and electromagnetic radiation and mesons. The Computer Science and Applied Mathematics Department engages in research in a variety of computer science and mathematics disciplines. Work in computer science and applied mathematics includes construction of data bases, computer graphics, computational physics and data analysis, mathematical modeling, and mathematical analysis of differential and integral equations resulting from physical problems. The Computer Center provides large-scale computational support to LBL's scientific programs. Descriptions of the various activities are quite short; references to published results are given. 24 figures. (RWR)
Physics, Computer Science and Mathematics Division. Annual report, 1 January--31 December 1977
International Nuclear Information System (INIS)
Lepore, J.V.
1977-01-01
This annual report of the Physics, Computer Science and Mathematics Division describes the scientific research and other work carried out within the Division during 1977. The Division is concerned with work in experimental and theoretical physics, with computer science and applied mathematics, and with the operation of a computer center. The major physics research activity is in high-energy physics, although there is a relatively small program of medium-energy research. The High Energy Physics research program in the Physics Division is concerned with fundamental research which will enable man to comprehend the nature of the physical world. The major effort is now directed toward experiments with positron-electron colliding beam at PEP. The Medium Energy Physics program is concerned with research using mesons and nucleons to probe the properties of matter. This research is concerned with the study of nuclear structure, nuclear reactions, and the interactions between nuclei and electromagnetic radiation and mesons. The Computer Science and Applied Mathematics Department engages in research in a variety of computer science and mathematics disciplines. Work in computer science and applied mathematics includes construction of data bases, computer graphics, computational physics and data analysis, mathematical modeling, and mathematical analysis of differential and integral equations resulting from physical problems. The Computer Center provides large-scale computational support to LBL's scientific programs. Descriptions of the various activities are quite short; references to published results are given. 24 figures
The emergent discipline of health web science.
Luciano, Joanne S; Cumming, Grant P; Wilkinson, Mark D; Kahana, Eva
2013-08-22
The transformative power of the Internet on all aspects of daily life, including health care, has been widely recognized both in the scientific literature and in public discourse. Viewed through the various lenses of diverse academic disciplines, these transformations reveal opportunities realized, the promise of future advances, and even potential problems created by the penetration of the World Wide Web for both individuals and for society at large. Discussions about the clinical and health research implications of the widespread adoption of information technologies, including the Internet, have been subsumed under the disciplinary label of Medicine 2.0. More recently, however, multi-disciplinary research has emerged that is focused on the achievement and promise of the Web itself, as it relates to healthcare issues. In this paper, we explore and interrogate the contributions of the burgeoning field of Web Science in relation to health maintenance, health care, and health policy. From this, we introduce Health Web Science as a subdiscipline of Web Science, distinct from but overlapping with Medicine 2.0. This paper builds on the presentations and subsequent interdisciplinary dialogue that developed among Web-oriented investigators present at the 2012 Medicine 2.0 Conference in Boston, Massachusetts.
Bailey, Judy
2013-01-01
Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…
Preschool Children's Expectations for Parental Discipline
Graham, Angie Geertsen
1998-01-01
Many factors influence preschool children's expectations for parental discipline. Parent characteristics such as personality, values, social class, and disciplinary methods can affect the expectations children have for parental discipline. Children's ability to understand and interpret parental messages can also influence how they will respond. All of these factors need to be taken into consideration in order for effective communication between parents and children to occur. In this study,...
Kleene, Stephen Cole
1967-01-01
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
Huckstep, Peter
2002-01-01
Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)
Kodaira, Kunihiko
1996-01-01
This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.
Encouraging Creativity in Mathematics and Science through Photography
Munakata, Mika; Vaidya, Ashwin
2012-01-01
Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…
Mathematics and Computer Science: Exploring a Symbiotic Relationship
Bravaco, Ralph; Simonson, Shai
2004-01-01
This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…
Mathematics and Martial Arts as Connected Art Forms
Hekimoglu, Serkan
2010-01-01
Parallels between martial arts and mathematics are explored. Misguided public perception of both disciplines, students' misconceptions, and the similarities between proofs and katas are among the striking commonalities between martial arts and mathematics. The author also reflects on what he has learned in his martial arts training, and how this…
Mathematical Description and Mechanistic Reasoning: A Pathway toward STEM Integration
Weinberg, Paul J.
2017-01-01
Because reasoning about mechanism is critical to disciplined inquiry in science, technology, engineering, and mathematics (STEM) domains, this study focuses on ways to support the development of this form of reasoning. This study attends to how mechanistic reasoning is constituted through mathematical description. This study draws upon Smith's…
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics...... to new problems. Relations and functions: Define a product set; define and apply equivalence relations; construct and apply functions. Apply these concepts to new problems. Natural numbers and induction: Define the natural numbers; apply the principle of induction to verify a selection of properties...
Murray, James D
1993-01-01
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...
Directory of Open Access Journals (Sweden)
Sead Rešić
2015-09-01
Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.
Key Concept Mathematics and Management Science Models
Macbeth, Thomas G.; Dery, George C.
1973-01-01
The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)
Teach the Mathematics of Mathematicians
Directory of Open Access Journals (Sweden)
Peter Taylor
2018-04-01
Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.
2012-08-30
... Discipline and Disclosure Requirements; Proposed Rule #0;#0;Federal Register / Vol. 77 , No. 169 / Thursday... Assets; Market Discipline and Disclosure Requirements AGENCY: Office of the Comptroller of the Currency... Approach NPR) includes proposed changes to the agencies' general risk-based capital requirements for...
Lipson, Sarah Ketchen; Zhou, Sasha; Wagner, Blake, III; Beck, Katie; Eisenberg, Daniel
2016-01-01
This article explores variations in mental health and service utilization across academic disciplines using a random sample of undergraduate and graduate students (N = 64,519) at 81 colleges and universities. We report prevalence of depression, anxiety, suicidality, and self-injury, and rates of help-seeking across disciplines, including results…
Mentoring in mathematics education
Hyde, Rosalyn
2013-01-01
Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include:
Alexander, Serena; Poggo, Tammy
2014-01-01
Features the complete set of answers to the exercises in Mathematics Year 5, to save you time marking work and enable you to identify areas requiring further attention. The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers. Also available from Galore Park www.galorepark.co.uk :. - Mathematics Year 5. - Mathematics Year 6. - 11+ Maths Practice Exercises. - 11+ Maths Revision Guide. - 10-Minute Maths Tests Workbook Age 8-10. - 10-Minute Maths Tests Workbook Age 9-11. - Mental Arithmetic Workbook Age 8-10. - Mental Arithmetic Workbook Ag
Boisvert, R F; Donahue, M J; Lozier, D W; McMichael, R; Rust, B W
2001-01-01
In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST's current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent efforts in the application of mathematics to measurement science, including the solution of ill-posed inverse problems, characterization of the accuracy of software for micromagnetic modeling, and in the development and dissemination of mathematical reference data. Finally, we comment on emerging issues in measurement science to which mathematicians will devote their energies in coming years.
Applied impulsive mathematical models
Stamova, Ivanka
2016-01-01
Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.
Troelstra, AS
1988-01-01
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras.The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The te
le Roux, Kate; Adler, Jill
2016-01-01
Mathematical problems that make links to the everyday and to disciplines other than mathematics--variously referred to as practical, realistic, real-world or applied problems in the literature--feature in school and undergraduate mathematics reforms aimed at increasing mathematics participation in contexts of inequity and diversity. In this…
Geocognition Research: An International Discipline (Invited)
Libarkin, J.
2009-12-01
Geocognition and geoscience education research have experienced a dramatic increase in research productivity and graduate student training in the past decade. At this writing, over twelve U.S. graduate programs dedicated to geocognition and geoscience education research exist within geoscience departments, with numerous other programs housed within education. International research programs are experiencing similar increases in these research domains. This insurgence of graduate training opportunities is due in large part to several factors, including: An increased awareness of the importance of Earth Systems Science to public understanding of science, particularly in light of global concern about climate change; new funding opportunities for science education, cognitive science, and geoscience education research; and, engagement of a significant part of the geosciences and education communities in writing new standards for Earth Systems literacy. Existing research programs blend geoscience content knowledge with research expertise in education, cognitive science, psychology, sociology and related disciplines. Research projects reflect the diversity of interests in geoscience teaching and learning, from investigations of pedagogical impact and professional development to studies of fundamental geocognitive processes.
Computational Exposure Science: An Emerging Discipline to ...
Background: Computational exposure science represents a frontier of environmental science that is emerging and quickly evolving.Objectives: In this commentary, we define this burgeoning discipline, describe a framework for implementation, and review some key ongoing research elements that are advancing the science with respect to exposure to chemicals in consumer products.Discussion: The fundamental elements of computational exposure science include the development of reliable, computationally efficient predictive exposure models; the identification, acquisition, and application of data to support and evaluate these models; and generation of improved methods for extrapolating across chemicals. We describe our efforts in each of these areas and provide examples that demonstrate both progress and potential.Conclusions: Computational exposure science, linked with comparable efforts in toxicology, is ushering in a new era of risk assessment that greatly expands our ability to evaluate chemical safety and sustainability and to protect public health. The National Exposure Research Laboratory’s (NERL’s) Human Exposure and Atmospheric Sciences Division (HEASD) conducts research in support of EPA’s mission to protect human health and the environment. HEASD’s research program supports Goal 1 (Clean Air) and Goal 4 (Healthy People) of EPA’s strategic plan. More specifically, our division conducts research to characterize the movement of pollutants from the source
Medical Geology: a globally emerging discipline
Energy Technology Data Exchange (ETDEWEB)
Bunnell, J.E.; Finkelman, R.B.; Centeno, J.A.; Selinus, O. [Armed Forces Institute of Pathology, Washington, DC (United States)
2007-07-01
Medical Geology, the study of the impacts of geologic materials and processes on animal and human health, is a dynamic emerging discipline bringing together the geoscience, biomedical, and public health communities to solve a wide range of environmental health problems. Among the Medical Geology described in this review are examples of both deficiency and toxicity of trace element exposure. Goiter is a widespread and potentially serious health problem caused by deficiency of iodine. In many locations the deficiency is attributable to low concentrations of iodine in the bedrock. Similarly, deficiency of selenium in the soil has been cited as the principal cause of juvenile cardiomyopathy and muscular abnormalities. Overexposure to arsenic is one of the most widespread Medical Geology problems affecting more than one hundred million people in Bangladesh, India, China, Europe, Africa and North and South America. The arsenic exposure is primarily due to naturally high levels in groundwater but combustion of mineralized coal has also caused arsenic poisoning. Dental and skeletal fluorosis also impacts the health of millions of people around the world and, like arsenic, is due to naturally high concentrations in drinking water and, to a lesser extent, coal combustion. Other Medical Geology issues described include geophagia, the deliberate ingestion of soil, exposure to radon, and ingestion of high concentrations of organic compounds in drinking water. Geoscience and biomedical/public health researchers are teaming to help mitigate these health problems as well as various non-traditional issues for geoscientists such as vector-borne diseases.
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Misfeldt, Morten; Timcenko, Olga
2016-01-01
This article explores student attitudes and preferences in learning and teaching of mathematics in engineering studies that transcend the division between technical, scientific and artistic disciplines. For observing such attitudes, we have developed a model that relates the attitude towards...... by a teacher. We propose that these findings inspire reforming mathematical education for such engineering students....
van der Hoff, Quay
2017-08-01
The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in biological phenomena, find it difficult to master the complex systems encountered in biology. In short, the biologists do not have enough mathematics and the mathematicians are not being taught enough biology. The need for interdisciplinary curricula that includes disciplines such as biology, physical science, and mathematics is widely recognized, but has not been widely implemented. In this paper, it is suggested that students develop a skill set of ecology, mathematics and technology to encourage working across disciplinary boundaries. To illustrate such a skill set, a predator-prey model that contains self-limiting factors for both predator and prey is suggested. The general idea of dynamics, is introduced and students are encouraged to discover the applicability of this approach to more complex biological systems. The level of mathematics and technology required is not advanced; therefore, it is ideal for inclusion in a senior-level or introductory graduate-level course for students interested in mathematical biology.
International Nuclear Information System (INIS)
Snow, D.R.
1975-01-01
This paper provides mathematicians and other persons interested in energy problems with some ideas of the kinds of mathematics being applied and a few ideas for further investigation both in the relevant mathematics and in mathematical modeling. This paper is not meant to be an extensive bibliography on the subject, but references are provided. The Conference emphasized large scale and economic considerations related to energy rather than specific technologies, but additional mathematical problems arising in current and future technologies are suggested. Several of the papers dealt with linear programming models of large scale systems related to energy. These included economic models, policy models, energy sector models for supply and demand and environmental concerns. One of the economic models utilized variational techniques including such things as the Hamiltonian, the Euler-Lagrange differential equation, transversality and natural boundary conditions
Laskey, B J; Cartwright-Hatton, S
2009-09-01
Internalizing disorders of childhood are a common and disabling problem, with sufferers at increased risk of subsequent psychiatric morbidity. Several studies have found associations between parenting styles and children's internalizing, although few have considered the role of parental discipline. Parental discipline style may exert an effect on children's internalizing symptoms. Anxiety and depression are reliably found to run in families and parental anxiety has been shown to effect parenting behaviour. This study set out to examine the links between parental anxiety, parental discipline style and child internalizing symptoms. Eighty-eight parents of children aged 4-10 years were recruited through primary schools. All parents completed questionnaires including measures relating to: adult anxiety (State-Trait Anxiety Inventory - Trait version, Penn State Worry Questionnaire), parental depression (Beck Depression Inventory - Fastscreen), parental discipline (The Parenting Scale), parenting-related attributions (Parenting Attitudes, Beliefs and Cognitions Scale) and child psychological morbidity (Child Behaviour Checklist 4-18 version). Significant correlations were found between both parental anxiety and child internalizing symptoms with ineffective discipline and negative beliefs about parenting. Particularly strong correlations were found between parental anxiety and child internalizing symptoms with harsh discipline. Parents of anxious/withdrawn children were more likely to hold negative beliefs about their child. The link between parental anxiety and child internalizing symptoms was mediated by harsh discipline. The link between parental anxiety and harsh discipline was mediated by parental beliefs about the child. Discipline style may be an important factor in the relationship between parent anxiety and child internalizing symptoms.
Drawing Women In: Engaging in Science and Engineering Disciplines
Greene, Senta
2013-03-01
Recent data on the participation of women in the scientific, technological, engineering, and mathematical (STEM) disciplines shows a landscape that is somewhat different from our expectations in the past. For example, women who earn bachelors' degrees in physics go on to earn PhDs, be hired to faculty positions, and achieve promotions at the same rate as their male counterparts. However, such gains do not foretell equal participation of women in physics since, although girls make up about half of high school physics classes, the fraction of bachelor's degrees earned by women has been flat at around 20% for about a decade. This remains true even with significantly increased awareness of the need to attract more women to STEM fields and despite various interventions to attract and retain talented women. This talk will present an overview of data on women's participation in STEM disciplines, provide possible explanations for the continued failure to attract women to some STEM fields, and give a brief description of some current interventions.
2014-01-01
This highly multidisciplinary volume contains contributions from leading researchers in STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health). The volume explores new frontiers in multidisciplinary research, including: the mathematics of cardiac arrhythmia; brain research on working memory; penalized ordinal regression to classify melanoma skin samples; forecasting of time series data; dynamics of niche models; analysis of chemical moieties as anticancer agents; study of gene locus control regions; qualitative mathematical modelling; convex quadrics and group circle systems; remanufacturing planning and control; complexity reduction of functional differential equations; computation of viscous interfacial motion; and differentiation in human pluripotent stem cells. An extension of a seminar series at Virginia State University, the collection is intended to foster student interest and participation in interdisciplinary research, and to stimulate new research. The content wi...
Conference Cultures of Mathematics and Logic
Löwe, Benedikt; Müller, Thomas; Xie, Yun
2016-01-01
This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.
Mathematics for electronic technology
Howson, D P
1975-01-01
Mathematics for Electronic Technology is a nine-chapter book that begins with the elucidation of the introductory concepts related to use of mathematics in electronic engineering, including differentiation, integration, partial differentiation, infinite series, vectors, vector algebra, and surface, volume and line integrals. Subsequent chapters explore the determinants, differential equations, matrix analysis, complex variable, topography, graph theory, and numerical analysis used in this field. The use of Fourier method for harmonic analysis and the Laplace transform is also described. The ma
International mathematical olympiad
Hanjš, Ž.
1999-01-01
Today mathematical competitions are very popular with primary and secondary school students and there are many countries all around the world where they are regularly organised. There are several rounds and a lot of students are included, especially at the beginning rounds. The best students from the previous round have the right to continue on the higher level of competition. The final level for the secondary school student competitors is the International Mathematical Olympiad (IMO). The te...
Disciplined by the discipline: a social-epistemic fingerprint of the history of science.
Vanderstraeten, Raf; Vandermoere, Frederic
2015-06-01
The scientific system is primarily differentiated into disciplines. While disciplines may be wide in scope and diverse in their research practices, they serve scientific communities that evaluate research and also grant recognition to what is published. The analysis of communication and publication practices within such a community hence allows us to shed light on the dynamics of this discipline. On the basis of an empirical analysis of Isis, we show how the process of discipline-building in history of science has led its practitioners to be socialized and sensitized in relatively strong intra-disciplinary terms--with minimal interdisciplinary openness.
Bird, John
2014-01-01
A practical introduction to the core mathematics required for engineering study and practiceNow in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure
Logan, J David
2013-01-01
Praise for the Third Edition"Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." -MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and nat
Handley, Bill
2012-01-01
This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for stud
The Transition to Formal Thinking in Mathematics
Tall, David
2008-01-01
This paper focuses on the changes in thinking involved in the transition from school mathematics to formal proof in pure mathematics at university. School mathematics is seen as a combination of visual representations, including geometry and graphs, together with symbolic calculations and manipulations. Pure mathematics in university shifts…
Mathematics as verbal behavior.
Marr, M Jackson
2015-04-01
"Behavior which is effective only through the mediation of other persons has so many distinguishing dynamic and topographical properties that a special treatment is justified and indeed demanded" (Skinner, 1957, p. 2). Skinner's demand for a special treatment of verbal behavior can be extended within that field to domains such as music, poetry, drama, and the topic of this paper: mathematics. For centuries, mathematics has been of special concern to philosophers who have continually argued to the present day about what some deem its "special nature." Two interrelated principal questions have been: (1) Are the subjects of mathematical interest pre-existing in some transcendental realm and thus are "discovered" as one might discover a new planet; and (2) Why is mathematics so effective in the practices of science and engineering even though originally such mathematics was "pure" with applications neither contemplated or even desired? I argue that considering the actual practice of mathematics in its history and in the context of acquired verbal behavior one can address at least some of its apparent mysteries. To this end, I discuss some of the structural and functional features of mathematics including verbal operants, rule-and contingency-modulated behavior, relational frames, the shaping of abstraction, and the development of intuition. How is it possible to understand Nature by properly talking about it? Essentially, it is because nature taught us how to talk. Copyright © 2015 Elsevier B.V. All rights reserved.
Wasserman, Nicholas H.; Rossi, Dara
2015-01-01
The recent trend to unite mathematically related disciplines (science, technology, engineering, and mathematics) under the broader umbrella of STEM education has advantages. In this new educational context of integration, however, STEM teachers need to be able to distinguish between sufficient proof and reasoning across different disciplines,…
Infusing Sustainability Across Disciplines to Build Student Engagement
Bruckner, M. Z.; O'Connell, K.; McDaris, J. R.; Kirk, K. B.; Larsen, K.; Kent, M.; Manduca, C. A.; Egger, A. E.; Blockstein, D.; Mogk, D. W.; Taber, J.
2014-12-01
Establishing relevance and effective communication are key mechanisms for building student and community engagement in a topic and can be used to promote the importance of working across disciplines to solve problems. Sustainability, including the impacts of and responses to climate change, is an inherently interdisciplinary issue and can be infused across courses and curricula in a variety of ways. Key topics such as climate change, hazards, and food, water, and energy production and sustainability are relevant to a wide audience and can be used to build student engagement. Using real-world examples, service learning, and focusing on the local environment may further boost engagement by establishing relevance between sustainability issues and students' lives. Communication plays a key role in the exchange of information across disciplines and allows for a more holistic approach to tackling the complex climate and sustainability issues our society faces. It has the power to bridge gaps, break down disciplinary silos, and build connections among diverse audiences with a wide range of expertise, including scientists, policy-makers, stakeholders, and the general public. It also aids in planning and preparation for, response to, and mitigation of issues related to sustainability, including the impacts of climate change, to lessen the detrimental effects of unavoidable events such as sea level rise and extreme weather events. Several workshops from the InTeGrate and On the Cutting Edge projects brought together educators and practitioners from a range of disciplines including geoscience, engineering, social science, and more to encourage communication and collaboration across disciplines. They supported networking, community-building, and sharing of best practices for preparing our students for a sustainable future, both in and out of the workplace, and across disciplines. Interdisciplinary teams are also working together to author curricular materials that highlight
Disciplines en studies. Vernieuwing in de geesteswetenschappen
Directory of Open Access Journals (Sweden)
Jo Tollebeek
2013-10-01
Full Text Available Disciplines and studies. Innovation in the humanitiesThe classic humanities disciplines took shape in the nineteenth century in a complex, contingency- driven process in which factors such as the introduction of a ‘scientific principle’ and the securing of the humanities’ position in the universities played an important role. This process resulted in flexible disciplines that lacked rigidity. For example, there was no ambitious theorising, no development of systematic methodologies and no academic monopoly. This, in turn, made renewal in the humanities a straightforward possibility, particularly when social and cultural changes called for such renewal. The liveliness that characterises teaching and research in the humanities today testifies to this. The renewed demand for cross-disciplinary approaches has led to a number of branches of study (from holocaust and genocide studies to museum studies which explicitly present themselves as contemporary, focus on a concrete social theme, and often recall a time before the humanities disciplines had emerged in the way that they are organised and function. Anyone wishing to bring stability and continuity to this uneasy pattern of development must take account the factors that reinforced the classic disciplines back then. Among other things, a sustainable policy involves monitoring the quality of the new programmes, relaxed dealings with existing institutional structures and the provision of the necessary seed capital in the field of research.
The role of values in school discipline
Directory of Open Access Journals (Sweden)
J. de Klerk
2003-08-01
Full Text Available Despite the fact that the Constitution of South Africa uses language that could be described as “value-language”, our country is experiencing an intense moral crisis. There is an urgent need to establish ways of finding answers to the value crisis in South Africa. Morality has been and is part of education. In this article the relationship between values, education and discipline is addressed from a Biblically-based (in this case, reformational perspective. The teacher as secondary educator plays an important role in the establishment of values among learners. The Department of Education has made clear its intention to establish values in schools in its Manifesto on Values, Education and Democracy. The values emphasised in this document concur with the ideals of nation-building in the new democratic South Africa. Unfortunately, the absence of discipline and self-discipline among learners and educators implies that these ideals cannot be realised. The main cause of discipline problems can possibly be ascribed to the absence of a value system rooted in a specific life and worldview, for without such a perspective the management of discipline problems can only be symptomatic.
Directory of Open Access Journals (Sweden)
Karin Tusting
2016-11-01
Full Text Available This paper addresses academic disciplinary writing practices, and how these are affected by changes in the landscape of Higher Education in the UK. After exploring the definition and understanding of the notion of “discipline”, the paper presents research from an ESRC-funded research project studying academics’ everyday writing practices, working closely with academics across different disciplines and different kinds of higher education institutions. The changing context of Higher Education in the UK is presented, in particular the emergence of new kinds of managerial practices which shape and co-ordinate the everyday writing work of academics. The paper shows that while some disciplines, such as History and Pure Mathematics, are associated with clearly-defined writing practices, others are more diverse. It discusses how managerial practices, particularly those driven by centralised national research evaluations, affect different disciplines in different ways.
Hougardy, Stefan
2016-01-01
Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Eck, Christof; Knabner, Peter
2017-01-01
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Status: nuclear and radiochemistry discipline
International Nuclear Information System (INIS)
Ramakumar, K.L.
2013-01-01
There is no universally accepted definition for the term 'nuclear chemistry'. We may regard nuclear chemistry as an interdisciplinary subject with roots in physics, biology, and chemistry. The basic aspects include among others (i) nuclear reactions and energy levels, (ii) the types and energetics of radioactive decay, (iii) the formation and properties of radioactive elements, (iv) the effect of individual isotopes on chemical and physical properties, and (v) the effects of nuclear radiation on matter. Research in (i) and (ii) is often indistinguishable in purpose and practice from that in nuclear physics, although for nuclear chemists, chemical techniques may play a significant role. (iii) and (iv) can be classified as radiochemistry and isotope chemistry, while (v) falls in the classification of radiation chemistry. There is an urgent need in India also to have similar mechanism. Different universities, research organizations and the education administrators should join hands to address this issue in a focused manner. This is all the more needed urgently as the nuclear power programme and other applications are expected to increase many fold in coming years
Using Mathematics and Engineering to Solve Problems in Secondary Level Biology
Cox, Charles; Reynolds, Birdy; Schunn, Christian; Schuchardt, Anita
2016-01-01
There are strong classroom ties between mathematics and the sciences of physics and chemistry, but those ties seem weaker between mathematics and biology. Practicing biologists realize both that there are interesting mathematics problems in biology, and that viewing classroom biology in the context of another discipline could support students'…
Komatsu, Kotaro
2016-01-01
The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…
McHugh, Luisa
Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to
Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics
Bütüner, Suphi Önder
2018-01-01
This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…
A Cross-Discipline Modeling Capstone Experience
Frazier, Marian L.; LoFaro, Thomas; Pillers Dobler, Carolyn
2018-01-01
The Mathematical Association of America (MAA) and the American Statistical Association (ASA) have both updated and revised their curriculum guidelines. The guidelines of both associations recommend that students engage in a "capstone" experience, be exposed to applications, and have opportunities to communicate mathematical and…
Bank Insolvency Procedures and Market Discipline in European Banking
Angkinand, Apanard; Wihlborg, Clas
2005-01-01
Market discipline in banking requires that explicit and implicit insurance schemes for financial sector firms are limited, and that the lack of insurance of important stakeholders is credible. This credibility cannot be achieved without transparent, predictable procedures for distress resolution for banks, including explicit rules for the liquidation of insolvent banks. We find that very few European countries have explicit procedures for dealing with problem banks. The propositions tested in...
CONNECTION OF FUNCTIONAL ABILITIES WITH JUMPING AND THROWING ATHLETIC DISCIPLINES
Igor Stanojević; Dejan Milenković
2014-01-01
The aim of this study was to determine the connection between functional abilities with results of jumping and throwing athletic disciplines with athletes. The sample was taken from a population of elementary school students from Prokuplje region, 13 and 14 old, included in regular physical education classes. The sample consisted of 200 male athletes involved in the training process in sports clubs at least three times a week in addition to physical education classes. For assessment of functi...
Medical elementology as a new scientific discipline
International Nuclear Information System (INIS)
Zaichick, V.
2006-01-01
All legitimate scientific disciplines are characterized by: (1) the clear definition of subjects of the study and its corresponding clear-cut name, (2) some accepted postulates, (3) set of research methods, (4) methods of quality control and processing of the obtained information, and (5) specific terminology and definitions. The inaccuracies and uncertainties in medical elementology as a new scientific discipline are discussed and some corresponding statements are made. Another and no less important problem of medical elementology is the critical unsatisfactory reproducibility of data. The complex arrangements required for the harmonization of data acquired for studies in medical elementology are offered. Main strategic aims and tactical tasks of the new scientific discipline are outlined. (author)
Motivation of Student in IT-disciplines
Directory of Open Access Journals (Sweden)
Nataliya N. Datsun
2017-12-01
Full Text Available Method of systematic literature analysis for 2012-2017 about motivation of the learners in IT disciplines was applied. The growth trend in the number of publications about the motivation of students and the learners of IT disciplines, as well as the coverage by research in all regions of the world were established. 32 publications were selected from scientometric databases. The most active researches were identified among the IT bachelors, and according to the dimension "training level" - among novices. Seven psychological approaches to motivation were identified. Self-Determination Theory (SDT is the most common among them. In studies based on SDT, types of learning motivation were differentiated depending on the level of education students of IT disciplines. Nine pedagogical approaches of motivation were identified. Project-based learning were applied in most cases. It can be recommended for the formation of professional competencies.
Interrupting the Psy-Disciplines in Education
DEFF Research Database (Denmark)
to influence education, both regulating and shaping behaviour and morality. The book provides insight into different educational contexts and concerns across a child’s educational lifespan; early childhood education, inclusive education, special education, educational leadership, social media, university......This book offers critical explorations of how the psy-disciplines, Michel Foucault’s collective term for psychiatry, psychology and psycho-analysis, play out in contemporary educational spaces. With a strong focus on Foucault’s theories, it critically investigates how the psy-disciplines continue......, and beyond to enable reflection and critique of the implications of psy-based knowledge and practice. With chapters by a mixture of established and emerging international scholars in the field this is an interdisciplinary and authoritative study into the role of the psy-disciplines in the education system...
Discrete mathematics using a computer
Hall, Cordelia
2000-01-01
Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools su...
Mathematical methods for physicists
Arfken, George B
2005-01-01
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.* Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relationsNew in the Sixth Edition:* Updated content throughout, based on users'' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell''s equations* A new chapter on probability and statistics* More elementary sections have been deleted
Wickerhauser, Mladen Victor
2003-01-01
Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student,there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. A companion website provides more insight for both instructors and s...
Mathematics for physical chemistry
Mortimer, Robert G
2005-01-01
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.* Numerous examples and problems interspersed throughout the presentations * Each extensive chapter contains a preview, objectives, and ...
Sadik, Fatma
2018-01-01
This is a descriptive study investigating the perception of children about discipline through metaphors developed by them. A total of 445 students participated in the research and the data was collected with the "Discipline Metaphors Survey (DMS)" developed by the researchers. At the end of the study, 143 metaphors, 94 positive and 49…
Space civil engineering - A new discipline
Sadeh, Willy Z.; Criswell, Marvin E.
1991-01-01
Space Civil Engineering is an emerging engineering discipline that focuses on extending and expanding the Civil Engineering know-how and practice to the development and maintenance of infrastructure on celestial bodies. Space Civil Engineering is presently being developed as a new discipline within the Department of Civil Engineering at Colorado State University under a recently established NASA Space Grant College Program. Academic programs geared toward creating Space Civil Engineering Options at both undergraduate and graduate levels are being formulated. Basic ideas and concepts of the curriculum in the Space Civil Engineering Option at both undergraduate and graduate levels are presented. The role of Space Civil Engineering in the Space Program is discussed.
Vulnerable discipline: experiences of male competitive bodybuilders.
Bjørnestad, Jone; Kandal, Øyvind; Anderssen, Norman
2014-09-01
The aim was to understand experiences of male competitive bodybuilders from a non-pathologizing perspective. Six male Norwegian competitive bodybuilders were interviewed. The interviews were analysed using a meaning condensation procedure resulting in five themes: being proud of capacity for discipline, seeing a perfectionist attitude as a necessary evil, experiencing recognition within the bodybuilding community, being stigmatized outside the bodybuilding community and going on stage to display a capacity for willpower and discipline. We suggest that bodybuilders may be stigmatized for breaking social norms: by their distinctive appearance, by the way they handle suspected drug use and by challenging gender norms. © The Author(s) 2013.
The Beyträge at 200: Bolzano's quiet revolution in the philosophy of mathematics
Directory of Open Access Journals (Sweden)
Jan Sebestik
2013-02-01
Full Text Available This paper surveys Bolzano's Beyträge zu einer begründeteren Darstellung der Mathematik (Contributions to a better-grounded presentation of mathematics on the 200th anniversary of its publication. The first and only published issue presents a definition of mathematics, a classification of its subdisciplines, and an essay on mathematical method, or logic. Though underdeveloped in some areas (including,somewhat surprisingly, in logic, it is nonetheless a radically innovative work, where Bolzano presents a remarkably modern account of axiomatics and the epistemology of the formal sciences. We also discuss the second, unfinished and unpublished issue, where Bolzano develops his views on universal mathematics. Here we find the beginnings of his theory of collections, for him the most fundamental of the mathematical disciplines. Though not exactly the same as the later Cantorian set theory, Bolzano's theory of collections was used in very similar ways in mathematics, notably in analysis. In retrospect, Bolzano's debut in philosophy was a remarkably successful one, though its fruits would only become generally known much later.
The `M' in SMEC: a short history of the mathematics education presence
Malone, John A.
2011-09-01
In this paper I examine the history of the integration of mathematics education into the Science Education Centre, which had been established by physicist, John de Laeter, within the School of Science and Engineering at Curtin University in Perth, Australia. De Laeter's vision for science education was that teachers should have access to professional education that allowed them to extend their discipline and pedagogical knowledge using strategies that brought together theory and practice in ways that were meaningful for teachers. This model was expanded when mathematics education was also included, paving the way also for technology education. I present the history of this integration laying out the themes that are important for the continued educational effectiveness of the Science and Mathematics Education Centre (SMEC) and the role that mathematics education has played in this process. As the title suggests, this article focuses on the activities of the group of mathematics educators who have worked within the Science and Mathematics Education Centre of Curtin University since it was established 30 or so years ago and who have contributed to its reputation. The two streams operated then and now more-or-less independently in matters of student thesis topic choice but offered students opportunities for interaction that might not have been available if the "M" had not been incorporated into the Science Education Centre (SEC). This article's focus is on the mathematics educators who contributed to the Centre's success and reputation, highlighting the synergistic relationship between mathematics and science that helped to make SMEC a leading center for mathematics and science education.
A classical approach to the restoration of discipline in South African schools
Directory of Open Access Journals (Sweden)
I.J. Oosthuizen
2003-08-01
Full Text Available As a result of the era of civil disobedience associated with the struggle for freedom and democracy discipline in many schools has deteriorated. The persistent lack of discipline in all South African schools can only be countered by means of a wise application of discipline. Application of “discipline” according to the standard dictionary meanings of the word will, however, not be appropriate since it implies a clamp-down on disruptive behaviour, including punishment, chastisement and retribution. Discipline associated with the paideia ideal of well-educatedness and of the educator as the servant of his learners (paidagogos, though within the context of a reformational perspective of discipline on the other hand, will be more suitable.
Eddy, Sarah L.; Brownell, Sara E.
2016-01-01
This focused collection explores inequalities in the experiences of women in physics. Yet, it is important for researchers to also be aware of and draw insights from common patterns in the experiences of women across science, technology, engineering and mathematics (STEM) disciplines. Here, we review studies on gender disparities across college…
Adaptation of mathematical educational content in e-learning resources
Directory of Open Access Journals (Sweden)
Yuliya V. Vainshtein
2017-01-01
algorithms for the educational content in the adaptive e-learning resource made it possible to implement individual educational paths in the electronic environment. For each student it was formed a personal space of mathematical educational content that “adapts” to its level of mastering the material, which contributed to improving the quality of the educational process in mathematical disciplines.In this paper, the methods of mathematical modeling and logicalgnosiological analysis, the theory of graphs and hypergraphs, system analysis, dynamic processes and systems control theory, complex systems design and imitation modelling methods were used.Approbation of the proposed algorithms for the educational content organization of adaptation in the adaptive electronic learning resource for the discipline “Discrete mathematics” showed the productivity of the proposed approach in the teaching process. The obtained results could be used for adaptive electronic educational resources construction in other educational institutions of higher education.Further development of the proposed approach involves the development of a formal model of the educational content adaptation, including control rules, based on the expert evaluation methods and the fuzzy-set theory.
Secondary School Mathematics Teachers' Attitude in Teaching Mathematics
Mulugeta Atnafu
2014-01-01
The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...
Jost, Jürgen
2015-01-01
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...
Enhancing the nursing discipline and developing nursing science in China
Directory of Open Access Journals (Sweden)
Xin-Juan Wu
2014-12-01
Full Text Available To improve our health care services, promote balanced development of inter-regional and inter-disciplinary medical care skills, and effectively implement public hospital reform, the former Ministry of Health, State Chinese Medicine Administration Bureau and the Ministry of Finance allocated state funds in 2010 to support a National Clinical Key Specialty Construction Project. The project supports the acquisition of key equipment, personnel training and development of clinical diagnosis technology in order to develop high-quality medical resources and improve clinical services. Because of the important role nursing plays, clinical nursing and specialty care were also included in the project. The Chinese Nursing Association was commissioned to oversee this project, which awarded 211 million RMB to nursing disciplines in 86 hospitals representing all regions of China. This funding has supported the rapid development of nursing disciplines, the results of which are outlined and described in this review.
Streambeds Merit Recognition as a Scientific Discipline
Constantz, J. E.
2016-12-01
Streambeds are generally viewed as simply sediments beneath streams, sediments topping alluvial aquifers, or sediments housing aquatic life, rather than as distinct geographic features comparable to soils and surficial geologic formations within watersheds. Streambeds should be viewed as distinct elements within watersheds, e.g., as akin to soils. In this presentation, streambeds are described as central features in watersheds, cycling water between the surface and underlying portions of the watershed. Regarding their kinship to soils, soils are often described as surficial sediments largely created by atmospheric weathering of underlying geologic parent material, and similarly, streambeds should be described as submerged sediments largely created by streamflow modification of underlying geologic parent material. Thus, streambeds are clearly overdue for recognition as their own scientific discipline along side other well-recognized disciplines within watersheds; however, slowing progress in this direction, the point is often made that hyporheic zones should be considered comparable to streambeds, but this is as misguided as equating unsaturated zones to soils. Streambeds and soils are physical geographic features of relatively constant volume, while hyporheic and unsaturated zones are hydrologic features of varying volume. Expanded upon in this presentation, 'Streambed Science' is proposed for this discipline, which will require both a well-designed protocol to physically characterize streambeds as well as development of streambed taxonomy, for suitable recognition as an independent discipline within watersheds.
Toxicodynetics: A new discipline in clinical toxicology.
Baud, F J; Houzé, P; Villa, A; Borron, S W; Carli, P
2016-05-01
Regarding the different disciplines that encompass the pharmacology and the toxicology, none is specifically dedicated to the description and analysis of the time-course of relevant toxic effects both in experimental and clinical studies. The lack of a discipline devoted to this major field in toxicology results in misconception and even in errors by clinicians. Review of the basic different disciplines that encompass pharmacology toxicology and comparing with the description of the time-course of effects in conditions in which toxicological analysis was not performed or with limited analytical evidence. Review of the literature clearly shows how misleading is the current extrapolation of toxicokinetic data to the description of the time-course of toxic effects. A new discipline entitled toxicodynetics should be developed aiming at a more systematic description of the time-course of effects in acute human and experimental poisonings. Toxicodynetics might help emergency physicians in risk assessment when facing a poisoning and contribute to a better assessment of quality control of data collected by poison control centres. Toxicodynetics would also allow a quantitative approach to the clinical effects resulting from drug-drug interaction. Copyright © 2016. Published by Elsevier Masson SAS.
[The development of a nursing sciences discipline].
Warnet, Sylvie
2013-03-01
Intellectual curiosity has guided the career of Michel Poisson, for the benefit of the gaze and clinical special approach of nurses and quality of care. He is also a historian. He questions the profession with regard to its identity and its desire to construct a discipline in nursing sciences.
IDEA and Disciplining Children with Disabilities.
Kolbe, Sherry L.
1999-01-01
The 1997 Individuals with Disabilities Education Act amendments offered a welcome shield for disabled students who found themselves unfairly disciplined within their school placements. Highlights the disagreements that continue over the bill's interpretation, and the fight by advocates for the disabled to limit unreasonable suspensions and…
La Disciplina Positiva (Positive Discipline). ERIC Digest.
ERIC Clearinghouse on Elementary and Early Childhood Education, Urbana, IL.
This ERIC Digest suggests methods and language that can be used in handling difficult, but common, situations involving young children. The digest explains 12 methods of disciplining children that promote children's self-worth. These methods are: (1) showing children that the reasons for their actions are understood; (2) stating reasons; (3)…
Interoperable Data Sharing for Diverse Scientific Disciplines
Hughes, John S.; Crichton, Daniel; Martinez, Santa; Law, Emily; Hardman, Sean
2016-04-01
For diverse scientific disciplines to interoperate they must be able to exchange information based on a shared understanding. To capture this shared understanding, we have developed a knowledge representation framework using ontologies and ISO level archive and metadata registry reference models. This framework provides multi-level governance, evolves independent of implementation technologies, and promotes agile development, namely adaptive planning, evolutionary development, early delivery, continuous improvement, and rapid and flexible response to change. The knowledge representation framework is populated through knowledge acquisition from discipline experts. It is also extended to meet specific discipline requirements. The result is a formalized and rigorous knowledge base that addresses data representation, integrity, provenance, context, quantity, and their relationships within the community. The contents of the knowledge base is translated and written to files in appropriate formats to configure system software and services, provide user documentation, validate ingested data, and support data analytics. This presentation will provide an overview of the framework, present the Planetary Data System's PDS4 as a use case that has been adopted by the international planetary science community, describe how the framework is being applied to other disciplines, and share some important lessons learned.
Philosophy and the Disciplines: The Borderlines | Minimah ...
African Journals Online (AJOL)
This work examines the borderlines of philosophy in relation to the central concern of other disciplines. As a preliminary step towards our examination, we attempt to uncover the specific nature of philosophy on the basis of its subject matter. We argue that while philosophy asks 'second order' questions about the totality of ...
changing perceptions of discipline and corporal punishment
African Journals Online (AJOL)
punishment and, secondly, their perceptions of their disciplinary techniques since ... research on teachers' (un)changing perceptions with regard to the practice of corporal punishment for classroom discipline in order to achieve the vision of quality ...... teaching and classroom management with the aim of enhancing teacher ...
Discipline and Methodology in Higher Education Research
Tight, Malcolm
2013-01-01
Higher education research is a multidisciplinary field, engaging researchers from across the academy who make use of a wide range of methodological approaches. This article examines the relation between discipline and methodology in higher education research, analysing a database of 567 articles published in 15 leading higher education journals…
Restorative Justice: Pedagogy, Praxis, and Discipline
Morrison, Brenda E.; Vaandering, Dorothy
2012-01-01
In the ongoing effort of designing school contexts in support of proactive discipline, a range of practices and theoretical frameworks have been advanced, from behaviorist approaches to social and emotional learning. This article describes the theory and practice of restorative justice with the aim of defining this distinctive paradigm, in…
Restorative Justice for Discipline with Respect
Chmelynski, Carol
2005-01-01
Expulsion is commonly schools' last resort to maintain discipline and keep schools safe. But increasingly, educators are turning to "restorative justice"--an alternative method from the field of criminology--with promising results. According to Randall Comfort, assistant upper-school director, Mounds Park Academy, St. Paul, Minnesota, using this…
Interrupting the Psy-Disciplines in Education
DEFF Research Database (Denmark)
, and beyond to enable reflection and critique of the implications of psy-based knowledge and practice. With chapters by a mixture of established and emerging international scholars in the field this is an interdisciplinary and authoritative study into the role of the psy-disciplines in the education system...
changing perceptions of discipline and corporal punishment
African Journals Online (AJOL)
Through a qualitative research methodology of semi-structured inter- views, data ... punishment for classroom discipline in order to achieve the vision of quality education. ... committed to ending corporal punishment of children. Being hit ... are relevant to policymakers and other stakeholders who should take cognisance of.
Discipline in the School. Crisis Intervention Series.
Hartwig, Eric P.; Ruesch, Gary M.
Despite the significant amount of attention given to student description, a serious controversy remains regarding the procedures that constitute effective discipline. This book is designed to meet the need for systematic investigation of the parameters of appropriate disciplinary practices for all students. It helps administrators formulate,…
An Innovative Approach to Discipline and Management.
Yenchko, Anne; DeBeal, Marshall Kirk
The Effective Classroom Management and Discipline Strategies Graduate Program for Educators is organized around a series of core modules designed for use in inservice teacher education. The basic skills learned in these series of modules are communication (feedback, nonverbal, listening, self disclosure, problem solving, and conflict resolution),…
The Mathematics Doctorate: A Time for Change? Carnegie Essays on the Doctorate: Mathematics.
Chan, Tony F.
The Carnegie Foundation commissioned a collection of essays as part of the Carnegie Initiative on the Doctorate (CID). Essays and essayists represent six disciplines that are part of the CID: chemistry, education, English, history, mathematics, and neuroscience. Intended to engender conversation about the conceptual foundation of doctoral…
Bass, Hyman
The Carnegie Foundation commissioned a collection of essays as part of the Carnegie Initiative on the Doctorate (CID). Essays and essayists represent six disciplines that are part of the CID: chemistry, education, English, history, mathematics, and neuroscience. Intended to engender conversation about the conceptual foundation of doctoral…
An introduction to mathematical cryptography
Hoffstein, Jeffrey; Silverman, Joseph H
2014-01-01
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cr...
Conventional Systems of Classroom Discipline (the Patriarchy Speaks).
Blumenfeld-Jones, Donald S.
1996-01-01
Considers traditional classroom discipline systems as patriarchal moral systems focused on hyperindividuality and dependent upon rules, consequences, and principles focused through authoritarian structures. Critiques the Assertive Discipline, Control Theory, and Discipline with Dignity discipline systems, and proposes an alternative model for…
NASA HRP Immunology Discipline - Use of Terrestrial Analogs
Crucian, Brian
2014-01-01
Due to the cost and operational constraints, as well as technical implementation limitations, it is desirous to perform relevant space physiology investigations first in terrestrial 'space analogs'. This is particularly true for initial investigations, which may then provide appropriate focus for subsequent flight investigations, or for mechanistic investigations that simply cannot be performed during spaceflight. Appropriate analog choice is extremely important. There are a wide variety of terrestrial space analogs, each relevant to a particular physiological discipline (or disciplines) and each with a particular fidelity (or lack thereof) to spaceflight, and each with unique operational constraints. The HRP Immunology Discipline is tasked with managing the HRP Risk concerning clinical risk for Astronaut crews related to spaceflight-associated immune dysregulation. Such dysregulation has been documented to occur during spaceflight, and found to persist for the duration of a 6-month ISS mission. Studies continue to characterize the onorbit phenomenon, but it generally consists of diminished immunocyte function, dysregulated cytokine profiles, and persistent herpesvirus reactivation. Causes are thought to synergistically include microgravity, psychological or physiological stress, radiation, and/or circadian misalignment. An appropriate terrestrial analog for immune dysregulation would replicate as many of these influences as possible. Such analogs may include clinostat or bioreactor cell culture (microgravity), hindlimb suspension (stress, fluid shifts, hypokinesis), or human deployment to remote or extreme environments (isolation, stress, circadian). Also, the laboratory setting may be used as an analog, or to augment analogs, such as sleep deprivation/misalignment or human centrifugation to replicate gravitational stress. As an appropriate example of a NASA Disciplines use of Terrestrial space analogs, this talk will discuss spaceflight associated immune
Rubin, Andrew
2014-01-01
This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience. Provides succinct but authoritative coverage of a broad array of biophysical topics and models Wr...
Hiriart-Urruty, Jean-Baptiste
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.
Cahill, Kevin
2013-01-01
Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.
Anton, J. M.; Grau, J. B.; Tarquis, A. M.; Andina, D.; Cisneros, J. M.
2012-04-01
There is evidence that the climate changes and that now, the change is influenced and accelerated by the CO2 augmentation in atmosphere due to combustion by humans. Such "Climate change" is on the policy agenda at the global level, with the aim of understanding and reducing its causes and to mitigate its consequences. In most countries and international organisms UNO (e.g. Rio de Janeiro 1992), OECD, EC, etc … the efforts and debates have been directed to know the possible causes, to predict the future evolution of some variable conditioners, and trying to make studies to fight against the effects or to delay the negative evolution of such. The Protocol of Kyoto 1997 set international efforts about CO2 emissions, but it was partial and not followed e.g. by USA and China …, and in Durban 2011 the ineffectiveness of humanity on such global real challenges was set as evident. Among all that, the elaboration of a global model was not boarded that can help to choose the best alternative between the feasible ones, to elaborate the strategies and to evaluate the costs, and the authors propose to enter in that frame for study. As in all natural, technological and social changes, the best-prepared countries will have the best bear and the more rapid recover. In all the geographic areas the alternative will not be the same one, but the model must help us to make the appropriated decision. It is essential to know those areas that are more sensitive to the negative effects of climate change, the parameters to take into account for its evaluation, and comprehensive plans to deal with it. The objective of this paper is to elaborate a mathematical model support of decisions, which will allow to develop and to evaluate alternatives of adaptation to the climatic change of different communities in Europe and Latin-America, mainly in especially vulnerable areas to the climatic change, considering in them all the intervening factors. The models will consider criteria of physical
Andersson, M.; Tomuzia, K.; Löfström, Ch.; Appel, B.; Bano, L.; Keremidis, H.; Knutsson, R.; Leijon, M.; Ekströmer Lövgren, S.; Medici, D.; Menrath, A.; Rotterdam, van B.; Wisselink, H.J.; Barker, G.C.
2013-01-01
Preparedness for bioterrorism is based on communication between people in organizations who are educated and trained in several disciplines, including law enforcement, health, and science. Various backgrounds, cultures, and vocabularies generate difficulties in understanding and interpretating terms
Linking Teaching in Mathematics and the Subjects of Natural Science
DEFF Research Database (Denmark)
Michelsen, Claus
2017-01-01
teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...
Raising Public Awareness of Mathematics
Behrends, Ehrhard; Rodrigues, José Francisco
2012-01-01
This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities - including concerted actions with other international organizations - directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts: * National experiences * Exhibitions /
MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW
Directory of Open Access Journals (Sweden)
John Hammond
2006-12-01
Full Text Available MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW The first 17 papers in this (December issue of the Journal of Sports Science and Medicine are selected papers from the Eighth Australasian Conference on Mathematics and Computers in Sport, held in Queensland in July 2006. Of the first seven conferences, five were held at Bond University in Queensland, one at the University of Technology in Sydney during the year of the Sydney Olympics, and the last one was in New Zealand at Massey University. The emerging discipline of mathematics and computers in sport has developed under the auspices of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM Division of the Australian Mathematics Society through an interest group known as MathSport, bringing together sports scientists who are interested inmathematical and statistical modelling in sport, the use of computers in sport, the application of these to improve coaching and individual performance, and teaching that combines mathematics, computers and sport. This eighth conference in the series returned to Queensland but not at Bond University, because campus accommodation for conference participants was no longer available at that venue. Instead delegates gathered at the Greenmount Beach Resort, which has been used during the past decade for a number of Applied Mathematics Conferences. There were 33 papers presented during the 3 days, across topics that covered a variety of individual and team sports. Participants attended from the United Kingdom, France, Germany, India, New Zealand and Australia. These participants were drawn from those working in mainstream mathematics, statistics, computers science, sports science support, coaching and education.Professor Steve Clarke and Emeritus Professor Neville de Mestre have been to all eight conferences and this year delivered papers on Australian rules football and golf putting respectively. Tony Lewis, of the Duckworth-Lewis formula for
Holmes, Mark H.
2006-10-01
To help students grasp the intimate connections that exist between mathematics and its applications in other disciplines a library of interactive learning modules was developed. This library covers the mathematical areas normally studied by undergraduate students and is used in science courses at all levels. Moreover, the library is designed not just to provide critical connections across disciplines but to also provide longitudinal subject reinforcement as students progress in their studies. In the process of developing the modules a complete editing and publishing system was constructed that is optimized for automated maintenance and upgradeability of materials. The result is a single integrated production system for web-based educational materials. Included in this is a rigorous assessment program, involving both internal and external evaluations of each module. As will be seen, the formative evaluation obtained during the development of the library resulted in the modules successfully bridging multiple disciplines and breaking down the disciplinary barriers commonly found in their math and non-math courses.
Activity and sign grounding mathematics education
Hoffmann, Michael HG; Seeger, Falk
2005-01-01
The advancement of a scientific discipline depends not only on the ""big heroes"" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part
Mathematics across cultures the history of non-Western mathematics
2000-01-01
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Mathematical tools for physicists
International Nuclear Information System (INIS)
Trigg, G.L.
2005-01-01
Mathematical Tools for Physisists is a unique collection of 18 review articles, each one written by a renowned expert of its field. Their professional style will be beneficial for advanced students as well as for the scientist at work. The first may find a comprehensive introduction while the latter use it as a quick reference. Great attention was paid to ensuring fast access to the information, and each carefully reviewed article includes a glossary of terms and a guide to further reading. The contributions range from fundamental methods right up to the latest applications, including: - Algebraic Methods - Analytic Methods - Fourier and Other Mathematical Transforms - Fractal Geometry - Geometrical Methods - Green's Functions - Group Theory - Mathematical Modeling - Monte Carlo Methods - Numerical Methods - Perturbation Methods - Quantum Computation - Quantum Logic - Special Functions - Stochastic Processes - Symmetries and Conservation Laws - Topology - Variational Methods. (orig.)
Principles of mathematical modeling
Dym, Clive
2004-01-01
Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, an...
CONNECTION OF FUNCTIONAL ABILITIES WITH JUMPING AND THROWING ATHLETIC DISCIPLINES
Directory of Open Access Journals (Sweden)
Igor Stanojević
2014-06-01
Full Text Available The aim of this study was to determine the connection between functional abilities with results of jumping and throwing athletic disciplines with athletes. The sample was taken from a population of elementary school students from Prokuplje region, 13 and 14 old, included in regular physical education classes. The sample consisted of 200 male athletes involved in the training process in sports clubs at least three times a week in addition to physical education classes. For assessment of functional abilities six functional tests were used: resting heart rate, Cooper test, heart rate in the first minute after Cooper test, heart rate in the second minute after Cooper test, systolic arterial blood pressure, diastolic arterial blood pressure. For assessment of jumping and throwing athletic disciplines four tests were used: long jump, high jump, shot put and javelin. Data analysis was performed with canonical correlation and regression analysis. The results showed a statistically significant correlation between functional abilities with all of tests in jumping and throwing athletic disciplines.
Humanitarian Aspirations of Engineering Students: Differences between Disciplines and Institutions
Directory of Open Access Journals (Sweden)
Angela R. Bielefeldt
2016-03-01
Full Text Available This study explored the aspirations of undergraduate engineering students in regard to helping others, examining potential differences between disciplines and institutions. Over 1900 undergraduate students from 17 U.S. universities responded to a survey in spring 2014. In open-ended responses, 15.5% of the students included some form of helping people and/or the world as one of the factors that motivated them to select their engineering major; for 6.7% of the students this was the primary or only motivating factor listed. Helping as a motivation was not equally prevalent among different engineering disciplines, being much more common among students majoring in biomedical, environmental, materials, and civil and less common in computer and aerospace. Different disciplines also varied in the priority for helping people relative to other future job factors - highest in chemical/biological, moderate in civil and related majors, and lowest among electrical/computer and mechanical. Institutional differences were found in the extent to which students indicated an importance that their career would help people and the extent to which an ability to help others was a central message in their major. The results indicate the percentages of engineering students who are most likely to embrace humanitarian engineering; fostering these aspirations in students could help with attraction and retention.
International Nuclear Information System (INIS)
Wainwright, J.
1990-01-01
The workshop on mathematical cosmology was devoted to four topics of current interest. This report contains a brief discussion of the historical background of each topic and a concise summary of the content of each talk. The topics were; the observational cosmology program, the cosmological perturbation program, isotropic singularities, and the evolution of Bianchi cosmologies. (author)
Weaver, Nik
2001-01-01
With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this ...
Fujita, Shinsaku
2015-01-01
Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. A new stereoisogram approach, developed by the author, is introduced in this book, providing a theoretical framework for mathematical aspects of modern stereochemistry. The discussion covers point-groups and permutation symmetry and exemplifies the concepts using organic molecules and inorganic complexes.
Improving Mathematics Teaching in Kindergarten with Realistic Mathematical Education
Papadakis, Stamatios; Kalogiannakis, Michail; Zaranis, Nicholas
2017-01-01
The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in…
Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics
Phy, Lyn
2008-01-01
This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…
Applied geometry and discrete mathematics
Sturm; Gritzmann, Peter; Sturmfels, Bernd
1991-01-01
This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honor of Klee's achievements, this volume presents more than forty papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, th...
Multi-discipline Waste Acceptance Process at the Nevada National Security Site - 13573
Energy Technology Data Exchange (ETDEWEB)
Carilli, Jhon T. [US Department Of Energy, Nevada Site Office, P. O. Box 98518, Las Vegas, Nevada 89193-8518 (United States); Krenzien, Susan K. [Navarro-Intera, LLC, P. O. Box 98952, Las Vegas, Nevada 89193-8952 (United States)
2013-07-01
The Nevada National Security Site low-level radioactive waste disposal facility acceptance process requires multiple disciplines to ensure the protection of workers, the public, and the environment. These disciplines, which include waste acceptance, nuclear criticality, safety, permitting, operations, and performance assessment, combine into the overall waste acceptance process to assess low-level radioactive waste streams for disposal at the Area 5 Radioactive Waste Management Site. Four waste streams recently highlighted the integration of these disciplines: the Oak Ridge Radioisotope Thermoelectric Generators and Consolidated Edison Uranium Solidification Project material, West Valley Melter, and classified waste. (authors)
The language of mathematics telling mathematical tales
Barton, Bill
2008-01-01
Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.
Teaching biomedical technology innovation as a discipline.
Yock, Paul G; Brinton, Todd J; Zenios, Stefanos A
2011-07-20
Recently, universities in the United States and abroad have developed dedicated educational programs in life science technology innovation. Here, we discuss the two major streams of educational theory and practice that have informed these programs: design thinking and entrepreneurship education. We make the case that the process of innovation for new medical technologies (medtech) is different from that for biopharmaceuticals and outline the challenges and opportunities associated with developing a discipline of medtech innovation.
THE EMERGENCE OF A DISCIPLINE: INFORMATION LAW
Directory of Open Access Journals (Sweden)
Mihai-Ştefan DINU
2016-06-01
Full Text Available This paper aims to emphasize the fact that in the context of information society, regulations and laws governing information and data as well as information systems activities, must be prevalent. In this regard, we believe that at least on the educational and academic level the discipline of information law must be developed in accordance with the new challenges and threats to security, synchronized with the transformed paradigm of national and international security.
Essays on market discipline, banking and regulation
Cabrera, Matías Daniel
2016-01-01
Mención Internacional en el título de doctor This Dissertation presents three studies on market discipline, implicit guarantees, sovereign risk and bank regulation. Chapter one analyzes whether larger banks are deemed as Too Big to Save by analyzing their stock returns' reaction to a set of announcements regarding governments' bailout capacity. In order to assess if there has been a risk transfer from banks to sovereigns (due to implicit guarantees), chapter two analyzes the...
Is Primatology an equal-opportunity discipline?
Directory of Open Access Journals (Sweden)
Elsa Addessi
Full Text Available The proportion of women occupying academic positions in biological sciences has increased in the past few decades, but women are still under-represented in senior academic ranks compared to their male colleagues. Primatology has been often singled out as a model of "equal-opportunity" discipline because of the common perception that women are more represented in Primatology than in similar fields. But is this indeed true? Here we show that, although in the past 15 years the proportion of female primatologists increased from the 38% of the early 1990s to the 57% of 2008, Primatology is far from being an "equal-opportunity" discipline, and suffers the phenomenon of "glass ceiling" as all the other scientific disciplines examined so far. In fact, even if Primatology does attract more female students than males, at the full professor level male members significantly outnumber females. Moreover, regardless of position, IPS male members publish significantly more than their female colleagues. Furthermore, when analyzing gender difference in scientific productivity in relation to the name order in the publications, it emerged that the scientific achievements of female primatologists (in terms of number and type of publications do not always match their professional achievements (in terms of academic position. However, the gender difference in the IPS members' number of publications does not correspond to a similar difference in their scientific impact (as measured by their H index, which may indicate that female primatologists' fewer articles are of higher impact than those of their male colleagues.
Is Primatology an equal-opportunity discipline?
Addessi, Elsa; Borgi, Marta; Palagi, Elisabetta
2012-01-01
The proportion of women occupying academic positions in biological sciences has increased in the past few decades, but women are still under-represented in senior academic ranks compared to their male colleagues. Primatology has been often singled out as a model of "equal-opportunity" discipline because of the common perception that women are more represented in Primatology than in similar fields. But is this indeed true? Here we show that, although in the past 15 years the proportion of female primatologists increased from the 38% of the early 1990s to the 57% of 2008, Primatology is far from being an "equal-opportunity" discipline, and suffers the phenomenon of "glass ceiling" as all the other scientific disciplines examined so far. In fact, even if Primatology does attract more female students than males, at the full professor level male members significantly outnumber females. Moreover, regardless of position, IPS male members publish significantly more than their female colleagues. Furthermore, when analyzing gender difference in scientific productivity in relation to the name order in the publications, it emerged that the scientific achievements of female primatologists (in terms of number and type of publications) do not always match their professional achievements (in terms of academic position). However, the gender difference in the IPS members' number of publications does not correspond to a similar difference in their scientific impact (as measured by their H index), which may indicate that female primatologists' fewer articles are of higher impact than those of their male colleagues.
Garcia-Santillán, Arturo; Moreno-Garcia, Elena; Escalera-Chávez, Milka E.; Rojas-Kramer, Carlos A.; Pozos-Texon, Felipe
2016-01-01
Most mathematics students show a definite tendency toward an attitudinal deficiency, which can be primarily understood as intolerance to the matter, affecting their scholar performance adversely. In addition, information and communication technologies have been gradually included within the process of teaching mathematics. Such adoption of…
Difference, inclusion, and mathematics education
DEFF Research Database (Denmark)
Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole
2016-01-01
The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects the di...
Mathematical people profiles and interviews
Albers, Donald
2008-01-01
This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introduction by Philip J. Davis.
Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar
2017-08-01
This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.
Episodes in the mathematics of medieval Islam
Berggren, J L
1986-01-01
From the reviews: The book is, in spite of the author's more modest claims, an introductory survey of main developments in those disciplines which were particularly important in Medieval Islamic mathematics...No knowledge of mathematics (or of the history of mathematics) beyond normal high-school level is presupposed, and everything required beyond that (be it Apollonian theory of conics or the definitions of celestial circles) is explained carefully and clearly. Scattered throughout the work are a number of lucid remarks on the character of Islamic mathematics or of mathematical work in general. The book will hence not only be an excellent textbook for the teaching of the history of mathematics but also for the liberal art aspect of mathematics teaching in general. - Jens Høyrup, Mathematical Reviews ...as a textbook, this work is highly commendable...It is definitely the product of a skillful mathematician who has collected over the years a reasonably large number of interesting problems from medieval Arab...
University Science and Mathematics Education in Transition
DEFF Research Database (Denmark)
Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn
configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...
Vision in elementary mathematics
Sawyer, W W
2003-01-01
Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Foundations of mathematical logic
Curry, Haskell B
2010-01-01
Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods, including algorithms and epitheory, and offers a brief treatment of Markov's approach to algorithms, explains elementary facts about lattices and similar algebraic systems, and more. 1963 edition.
Mathematical analysis fundamentals
Bashirov, Agamirza
2014-01-01
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric o
Computational mathematics in China
Shi, Zhong-Ci
1994-01-01
This volume describes the most significant contributions made by Chinese mathematicians over the past decades in various areas of computational mathematics. Some of the results are quite important and complement Western developments in the field. The contributors to the volume range from noted senior mathematicians to promising young researchers. The topics include finite element methods, computational fluid mechanics, numerical solutions of differential equations, computational methods in dynamical systems, numerical algebra, approximation, and optimization. Containing a number of survey articles, the book provides an excellent way for Western readers to gain an understanding of the status and trends of computational mathematics in China.
Mathematical Astronomy in India
Plofker, Kim
Astronomy in South Asia's Sanskrit tradition, apparently originating in simple calendric computations regulating the timing of ancient ritual practices, expanded over the course of two or three millennia to include detailed spherical models, an endless variety of astrological systems, and academic mathematics in general. Assimilating various technical models, methods, and genres from the astronomy of neighboring cultures, Indian astronomers created new forms that were in turn borrowed by their foreign counterparts. Always recognizably related to the main themes of Eurasian geocentric mathematical astronomy, Indian astral science nonetheless maintained its culturally distinct character until Keplerian heliocentrism and Newtonian mechanics replaced it in colonial South Asia's academic mainstream.
Mathematical foundations of elasticity
Marsden, Jerrold E
1994-01-01
This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of con
Insights into teaching mathematics
Orton, Anthony
2004-01-01
Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at
Concepts of mathematical modeling
Meyer, Walter J
2004-01-01
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each sec
Discrete algorithmic mathematics
Maurer, Stephen B
2005-01-01
The exposition is self-contained, complemented by diverse exercises and also accompanied by an introduction to mathematical reasoning … this book is an excellent textbook for a one-semester undergraduate course and it includes a lot of additional material to choose from.-EMS, March 2006In a textbook, it is necessary to select carefully the statements and difficulty of the problems … in this textbook, this is fully achieved … This review considers this book an excellent one.-The Mathematical Gazette, March 2006
Sierpinska, Anna
1994-01-01
The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.
Some unsolved problems in discrete mathematics and mathematical cybernetics
Energy Technology Data Exchange (ETDEWEB)
Korshunov, Aleksei D [S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russian Federation)
2009-10-31
There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.
Some unsolved problems in discrete mathematics and mathematical cybernetics
Korshunov, Aleksei D.
2009-10-01
There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.
Some unsolved problems in discrete mathematics and mathematical cybernetics
International Nuclear Information System (INIS)
Korshunov, Aleksei D
2009-01-01
There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.
International Nuclear Information System (INIS)
Nedelec, J.C.
1988-01-01
The 1988 progress report of the Applied Mathematics center (Polytechnic School, France), is presented. The research fields of the Center are the scientific calculus, the probabilities and statistics and the video image synthesis. The research topics developed are: the analysis of numerical methods, the mathematical analysis of the physics and mechanics fundamental models, the numerical solution of complex models related to the industrial problems, the stochastic calculus and the brownian movement, the stochastic partial differential equations, the identification of the adaptive filtering parameters, the discrete element systems, statistics, the stochastic control and the development, the image synthesis techniques for education and research programs. The published papers, the congress communications and the thesis are listed [fr
If I shouldn't spank, what should I do? Behavioural techniques for disciplining children.
Tidmarsh, L
2000-05-01
To provide family physicians with a guide for evaluating discipline problems, giving suggestions for parental guidance, and diagnosing problems when discipline guidance fails. A MEDLINE and PsycINFO search from 1990 to the present produced articles reviewing research on aspects of discipline. Case-control studies, expert opinion, and position statements published by the American Academy of Pediatrics and the Canadian Paediatric Society were chosen as a basis for this article. In a special supplement in 1996, a pediatric journal reviewed the controversy of spanking as an effective disciplinary method, with comments by noted researchers and clinicians. Other authors reviewed research evaluating discipline techniques. Discipline problems require evaluation of children, parents, and parent-child relationships, including assessment of child development and evaluation of parenting skills and parental stressors. Parents can learn techniques more effective than spanking. Physicians can review discipline strategies and guide parents through difficult situations. Monitoring progress is important, and immediate reassessment of the situation if techniques are failing or referral to a specialist will increase the chances of a successful intervention. Discipline problems are complex and require careful assessment. Guiding parents during these types of problems requires close follow up and reevaluation when methods do not have the expected effect.
Pluri-Disciplinary; Against the Common Perception of Collaboration Among Disciplines
Directory of Open Access Journals (Sweden)
B. Shabani Varaki
2015-02-01
Full Text Available There are numerous kinds of definitions and discourses of conceptualization for the collaboration among disciplines. Examining a wide range of the related texts represents various, divergent and also contradictory discourses back to this up. Carefully and critically examining the common perception of collaboration among disciplines, in this paper, authors introduce an alternative so-called pluridisciplinary.rn rnAnd, it is argued that pluri-disciplinary could be considered as an umbrella term for all other modes of collaboration among disciplines including multidisciplinary, interdisciplinary, and transdiciplinary. It is also contended that unlike the conventional perception of collaborations between disciplines, epistemological and instrument rationales need to be seen as a continuous integration, so such a holistic approach will lead to a new so-called discipline; transdiciplinary. It is also articulated that there is a hierarchical relationship between disciplines in the alternative. In this paper, simple knowledge in pluridisciplinary studies will be replaced by super-complex knowledge, so called; trans-disciplinary, as a new-fashioned discipline, emerges.
Mathematics difficulties & classroom leadership
DEFF Research Database (Denmark)
Schmidt, Maria Christina Secher
2016-01-01
This article investigates possible links between inclusion, students, for whom mathematics is extensively difficult, and classroom leadership through a case study on teaching strategies and student participation in four classrooms at two different primary schools in Denmark. Three sets of results...... are presented: 1) descriptions of the teachers’ classroom leadership to include all their students in the learning community, 2) the learning community produced by stated and practiced rules for teaching and learning behavior, 3) the classroom behavior of students who experience difficulties with mathematics....... The findings suggest that the teachers’ pedagogical choices and actions support an active learning environment for students in diverse learning needs, and that the teachers practise dimensions of inclusive classroom leadership that are known to be successful for teaching mathematics to all students. Despite...
Basic mathematics for biochemists
Cornish-Bowden, Athel
1981-01-01
Some teachers of biochemistry think it positively beneficial for students to struggle with difficult mathematics. I do not number myself among these people, although I have derived much personal pleasure from the study of mathematics and from applying it to problems that interest me in biochemistry. On the contrary, I think that students choose courses in biochemistry out of interest in biochemistry and that they should not be encumbered with more mathematics than is absolutely required for a proper understanding of biochemistry. This of course includes physical chemistry, because a biochemist ignorant of physical chemistry is no biochemist. I have been guided by these beliefs in writing this book. I have laid heavy emphasis on those topics, such as the use of logarithms, that play an important role in biochemistry and often cause problems in teaching; I have ignored others, such as trigonometry, that one can manage without. The proper treatment of statistics has been more difficult to decide. Although it cle...
Bird, John
2014-01-01
Introductory mathematics written specifically for students new to engineering Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on t...
Persian architecture and mathematics
2012-01-01
This volulme features eight original papers dedicated to the theme “Persian Architecture and Mathematics,” guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.
Accounting for primitive terms in mathematics
Directory of Open Access Journals (Sweden)
D.F.M. Strauss
2005-07-01
Full Text Available The philosophical problem of unity and diversity entails a challenge to the rationalist aim to define everything. Definitions of this kind surface in various academic disciplines in formulations like uniqueness, irreducibility, and what has acquired the designation “primitive terms”. Not even the most “exact” disciplines, such as mathematics, can avoid the implications entailed in giving an account of such primitive terms. A mere look at the historical development of mathematics highlights the fact that alternative perspectives prevailed – from the arithmeticism of Pythagoreanism, the eventual geometrisation of mathematics after the discovery of incommensurability up to the revival of arithmeticism in the mathematics of Cauchy, Weierstrass, Dedekind and Cantor (with the later orientation of Frege, who completed the circle by returning to the view that mathematics essentially is geometry. An assessment of logicism and axiomatic formalism is followed by looking at the primitive meaning of wholeness (and the whole-parts relation. With reference to the views of Hilbert, Weyl and Bernays the article concludes by suggesting that in opposition to arithmeticism and geometricism an alternative option ought to be pursued – one in which both the uniqueness and mutual coherence between the aspects of number and space are acknowledged.
Dilemma in Teaching Mathematics
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
2012-01-01
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
Dictionary of scientific units including dimensionless numbers and scales
National Research Council Canada - National Science Library
Jerrard, H.G; McNeill, D.B
1992-01-01
.... The text includes the most recently accepted values of all units. Several disciplines, which have in the past employed few scientific principles and the dictionary has been extended to include examples of these.
Flouri, Eirini; Midouhas, Emily
2017-03-01
This study was performed to examine the role of harsh parental discipline in mediating and moderating the effects of environmental adversity (family socioeconomic disadvantage and adverse life events) on emotional and behavioral problems across early-to-middle childhood. The sample included 16,916 children (48% female; 24% non-White) from the U.K.'s Millennium Cohort Study. We analyzed trajectories of conduct, hyperactivity, and emotional problems, measured at ages 3, 5, and 7 years, using growth curve models. Harsh parental discipline was measured at these ages with parent-reported items on the frequency of using the physical and verbal discipline tactics of smacking, shouting at, and "telling off" the child. As expected, family socioeconomic disadvantage and adverse life events were significantly associated with emotional and behavioral problems. Harsh parental discipline was related to children's trajectories of problems, and it moderated, but did not explain, the effect of environmental risk on these trajectories. High-risk children experiencing harsh parental discipline had the highest levels of conduct problems and hyperactivity across the study period. In addition, harsh parental discipline predicted an increase in emotional symptoms over time in high-risk children, unseen in their counterparts experiencing low levels of harsh parental discipline. However, children in low-risk families were also negatively affected by harsh parental discipline concurrently and over time. In conclusion, harsh parental discipline predicted emotional and behavioral problems in high- and low-risk children and moderated the effects of family poverty and adversity on these problems. (PsycINFO Database Record (c) 2017 APA, all rights reserved).
Directory of Open Access Journals (Sweden)
Elena Gudyreva
2015-10-01
Full Text Available The article is devoted to consideration of issues related to identifying the potential for teaching mathematics using network (Internet technology and the introduction of elements of distance learning into educational process of higher educational establishments of the sea profile, as well as achievement of formation of mathematical competence of students of the University generally, and of the University's Maritime profile, in particular. Based on the analysis of psychological and pedagogical literature highlights the factors that influence the increase of efficiency of independent work of students of higher educational institutions and on the formation of steady skills of self-education that ultimately leads to quality of formation of mathematical competence of a student. Specific features of teaching mathematics at the University of the sea profile. The description of the project (complex sites "KSMA. Higher mathematics navigators", who developed and used in the Kherson state Maritime Academy in the teaching of mathematics and the organization of individual techniques of distance learning, shows the simplicity and accessibility of working with complex sites, as well as the simplicity and accessibility of design "personal website", but in fact complex sites, by a teacher of any discipline of higher education. Shown, also a training process with the use of the project "KSMA. Higher mathematics navigators", analyzes the experience of teaching the course "Higher mathematics" in a higher educational institution of the marine profile with the use of a personal website, a teacher and shown positive results in students mastery of basic mathematical competencies.
Market discipline and incentive problems in conglomerate banks
Boot, A.W.A.; Schmeits, A.
1998-01-01
This paper analyzes the optimal conglomeration of bank activities. Weshow that the effectiveness of market discipline forstand-alone activities (divisions) is of crucial importance for thepotential benefits of conglomeration. We find thateffective market discipline reduces the potential benefits
Is Primatology an Equal-Opportunity Discipline?
Borgi, Marta
2012-01-01
The proportion of women occupying academic positions in biological sciences has increased in the past few decades, but women are still under-represented in senior academic ranks compared to their male colleagues. Primatology has been often singled out as a model of “equal-opportunity” discipline because of the common perception that women are more represented in Primatology than in similar fields. But is this indeed true? Here we show that, although in the past 15 years the proportion of female primatologists increased from the 38% of the early 1990s to the 57% of 2008, Primatology is far from being an “equal-opportunity” discipline, and suffers the phenomenon of “glass ceiling” as all the other scientific disciplines examined so far. In fact, even if Primatology does attract more female students than males, at the full professor level male members significantly outnumber females. Moreover, regardless of position, IPS male members publish significantly more than their female colleagues. Furthermore, when analyzing gender difference in scientific productivity in relation to the name order in the publications, it emerged that the scientific achievements of female primatologists (in terms of number and type of publications) do not always match their professional achievements (in terms of academic position). However, the gender difference in the IPS members' number of publications does not correspond to a similar difference in their scientific impact (as measured by their H index), which may indicate that female primatologists' fewer articles are of higher impact than those of their male colleagues. PMID:22272353
Op het raakvlak van historische disciplines
Directory of Open Access Journals (Sweden)
Dick E.H. de Boer
2015-12-01
Full Text Available At the Meeting Point of Historical DisciplinesThis contribution introduces the way in which the interaction between history and archaeology is examined, taking the case of the identification of a tomb and remains of Count William II of Holland, King of the Holy Roman Empire (†1256, in the former abbey church of Middelburg. It stresses the necessity of strict source criticism, which should be self-evident, but is at risk of receiving less attention. This is even truer when one of the disciplines is used as an auxiliary argument to support the other instead of a balanced approach. Wishful interpretation in such a case is a clear risk. The contribution gives some examples, before sketching the advance made thanks to the reapprochement of history and archaeology, and the consequent need for a registration system of archaeological data that can facilitate multi-disciplinary analysis. It ends with an introduction to the different stands in the dossier.Deze bijdrage biedt een inleiding op de wijze waarop de interactie tussen geschiedenis en archeologie wordt bekeken aan de hand van een casus betreffende het graf en de overblijfselen van de in 1256 gesneuvelde graaf Willem II van Holland, koning van het Heilige Roomse Rijk, in de voormalige abdijkerk van Middelburg. Hij benadrukt de noodzaak van een nauwgezette bronnenkritiek. Hoewel deze als vanzelfsprekend moet worden beschouwd, is er een zeker risico van verminderde zorgvuldigheid. Dit speelt vooral wanneer één van de disciplines wordt gebruikt als een hulp-argument, dat de uitkomsten van de andere moet ondersteunen, in plaats van een benadering waarbij beide disciplines in evenwicht zijn. Bij een onbalans is het risico van interpreteren in het licht van de gewenste uitkomst duidelijk aanwezig. De bijdrage geeft hiervan enkele voorbeelden, alvorens de vooruitgang te schetsen die is geboekt juist dankzij de toenadering tussen geschiedenis en archeologie, en aan te geven dat er behoefte is aan een
The art and science of disciplining children.
Adams Larsen, Margo; Tentis, Erin
2003-08-01
A practical guide to working with parents on the discipline of their children is provided. Focus is specific to provide a practical tool of useful how-to information for the primary care provider who works with children and their families. This article focuses on basic principles and techniques that can be established within the office setting, so as to model for families, as well as to teach to families for use at home. This article also focuses on common applications to illustrate the use of these techniques. Finally, the art of consultation and referral is reviewed for situations that are assessed to be above and beyond the call of the primary practitioner.
Entrepreneurship and the Discipline of External Finance
DEFF Research Database (Denmark)
Nanda, Ramana
I confirm the finding that the propensity to start a new firm rises sharply among those in the top five percentiles of personal wealth. This pattern is more pronounced for entrants in less capital intensive sectors. Prior to entry, founders in this group earn about 6% less compared to those who ......, these findings suggest that the spike in entry at the top end of the wealth distribution is driven by low-ability individuals who can afford to start (and sometimes continue running) weaker firms because they do not face the discipline of external finance....
International Nuclear Information System (INIS)
Agrachev, A.A.
2002-01-01
This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, robotics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume
Energy Technology Data Exchange (ETDEWEB)
Agrachev, A A [Steklov Mathematical Institute, Moscow (Russian Federation); SISSA, Trieste [Italy; ed.
2002-07-15
This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, tics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume contains
Teaching Mathematical Modeling in Mathematics Education
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Teachers' Mathematics as Mathematics-at-Work
Bednarz, Nadine; Proulx, Jérôme
2017-01-01
Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…
Bottle Caps as Prekindergarten Mathematical Tools
Raisor, Jill M.; Hudson, Rick A.
2018-01-01
Early childhood provides a time of crucial growth in all developmental domains. Prekindergarten is an optimal time for young children to use objects of play as a medium to explore new cognitive concepts, including mathematical structure. Mathematical structure plays an important role in providing students a means to reason about mathematics,…
Positioning Mathematics Education Researchers to Influence Storylines
Herbel-Eisenmann, Beth; Sinclair, Nathalie; Chval, Kathryn B.; Clements, Douglas H.; Civil, Marta; Pape, Stephen J.; Stephan, Michelle; Wanko, Jeffrey J.; Wilkerson, Trena L.
2016-01-01
The NCTM Research Committee identifies key influences on mathematics education that are largely outside the domain of the academic world in which most mathematics education researchers live. The groups that are identified--including the media, companies and foundations, and other academic domains--affect the public's perception of mathematics and…
Lectures on Applications-Oriented Mathematics
Friedman, Bernard
2011-01-01
Meets the need for a program of short courses involving the essentials of a number of mathematical topics taken by physics and engineering students. Basically applications-oriented, the courses do include selected topics of abstract mathematics. While several courses can be used as practical appendices to conventional mathematics, others serve as introductions, providing motivation for self-study in areas of conceptual math.
DEFF Research Database (Denmark)
Thompson, Mary Kathryn
2013-01-01
faculty, research and education communities, conferences, and journals. However, design remains an emerging sub-discipline in civil and environmental engineering – practiced, valued, and taught but not subject to rigorous academic research. This paper presents some of the challenges associated...... with the establishment of design as a research discipline within civil and environmental engineering, some of the benefits and opportunities that will come from that establishment, and some evidence for the fact that this process has already begun.......There are a number of fields including architecture, industrial design, and urban planning and design, where design is the discipline upon which all research and teaching activities are based. In other fields such as aerospace and mechanical engineering, design is a sub-discipline with its own...
English as an arts discipline in environmental education | Clacherty ...
African Journals Online (AJOL)
The subject English can be used as a discipline or as a medium. This paper describes the form of English as a discipline and questions the way it is used in environmental education. A call is made to involve in environmental education those who understand the form of English as a discipline in particular and of the arts in ...
Military discipline: in the history and in modern Russia
Grigoryev O. V.
2016-01-01
the article deals with the problem of changing the approaches to military discipline. Analyzed and its inextricable link with the military law, the role and place of discipline in strengthening statehood and the suppression of the destructive manifestations. The analysis of the modern understanding of military discipline in passing of military service in the Russian Federation.
Early Childhood Discipline: A Review of the Literature
Firmin, Michael W.; Castle, Sally L.
2008-01-01
In this literature review concerning early childhood discipline we particularly highlight American children's discipline with respect to historical perspectives, generational theories, gender issues, parental styles, methods of discipline, and corporal punishment. We also address corporal punishment's history, the debate among experts, beliefs and…
Teen Court-School Partnerships: Reducing Disproportionality in School Discipline
Stalker, Katie Cotter
2018-01-01
Reducing disproportionality in school discipline is a grand challenge for school social work. Although the causes of disproportionality in exclusionary school discipline are interrelated and complex, one solution is to introduce alternatives to suspensions and expulsions that discipline students while keeping them engaged in school. The teen court…
Dragalin, A G
1988-01-01
This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.
Progress in Industrial Mathematics at ECMI 96
DEFF Research Database (Denmark)
mathematicians get inspiration from industrial demands. The European Consortium for Mathematics in Industry aims to create contact between industry and academia, and to promote research in industrial mathematics. This book contains a broad spectrum of mathematics applied to industrial problems. Applied...... mathematics, case studies, and review papers in the following fields are included: Environmental modelling, railway systems, industrial processes, electronics, ships, oil industry, optimization, machine dynamics, fluids in industry. Applied mathematicians and other professionals working in academia...
Isotope hydrology: applied discipline in earth sciences
International Nuclear Information System (INIS)
Froehlich, K.; Rozanski, K.; Araguas Araguas, L.
1998-01-01
The discipline 'isotope hydrology' is being reviewed from the perspective of the Isotope Hydrology Section of the International Atomic Energy Agency in Vienna. The Section was created in the late fifties and is activities involved int the scientific progress of the discipline. The role of the IAEA in the development of isotope hydrology has always been of a dual nature: on one hand, the Section has been and still is heavily engaged in supporting and coordinating further development of isotope methodologies, on the other hand, it serves as an interface between the methodological development in research institutes and the applied work using proven techniques in field projects on water resources assessment and management. The paper provides a brief overview of applications of isotope-based methodologies in hydrology, with emphasis on new trends and challenges related to man's growing impact on the water cycle. This contribution is a tribute to the memory of the former Head of the Isotope Hydrology Section, Jean-Charles Fontes, to whom we owe so much. (authors)
Three views of logic mathematics, philosophy, and computer science
Loveland, Donald W; Sterrett, S G
2014-01-01
Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-orde
Overuse Injuries in Professional Ballet: Injury-Based Differences Among Ballet Disciplines.
Sobrino, Francisco José; de la Cuadra, Crótida; Guillén, Pedro
2015-06-01
Despite overuse injuries being previously described as the most frequent in ballet, there are no studies on professional dancers providing the specific clinical diagnoses or type of injury based on the discipline. Overuse injuries are the most frequent injuries in ballet, with differences in the type and frequency of injuries based on discipline. Cross-sectional study; Level of evidence, 3. This was a descriptive cross-sectional study performed between January 1, 2005, and October 10, 2010, on injuries occurring in professional dancers from leading Spanish dance companies who practiced disciplines such as classical, neoclassical, contemporary, and Spanish ballet. Data, including type of injury, were obtained from specialized medical services at the Trauma Service, Fremap, Madrid, Spain. A total of 486 injuries were evaluated, a significant number of which were overuse disorders (P ballet (82.60%). Injuries were more frequent among female dancers (75.90%) and classical ballet (83.60%). A statistically significant prevalence of patellofemoral pain syndrome was found in the classical discipline (P = .007). Injuries of the adductor muscles of the thigh (P = .001) and of the low back facet (P = .02) in the Spanish ballet discipline and lateral snapping hip (P = .02) in classical and Spanish ballet disciplines were significant. Overuse injuries were the most frequent injuries among the professional dancers included in this study. The prevalence of injuries was greater for the most technically demanding discipline (classical ballet) as well as for women. Patellofemoral pain syndrome was the most prevalent overuse injury, followed by Achilles tendinopathy, patellar tendinopathy, and mechanical low back pain. Specific clinical diagnoses and injury-based differences between the disciplines are a key factor in ballet.
DEFF Research Database (Denmark)
Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas
To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....
Difference, inclusion, and mathematics education
DEFF Research Database (Denmark)
Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole
2016-01-01
The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects...... the diversity of learners in different educational contexts – in Brazil and beyond. This paper presents the contributions to the discussion, which focus on the problematisation of the term “inclusion”, explorations of how the practices of previously marginalized students can bring new resources to the teaching...... and learning of mathematics and reflections upon the potentially discriminatory nature of the structures which currently mould school mathematics. The paper aims to serve as material for the developing research agenda of the thirteenth working group of the Brazilian Society of Mathematics Education, which met...
The mathematics behind biological invasions
Lewis, Mark A; Potts, Jonathan R
2016-01-01
This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecolo...
The role of mathematics in politics as an issue for mathematics teaching
DEFF Research Database (Denmark)
Sánchez, Mario; Blomhøj, Morten
2010-01-01
This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education.......This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education....
Authenticity of Mathematical Modeling
Tran, Dung; Dougherty, Barbara J.
2014-01-01
Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…
Directory of Open Access Journals (Sweden)
Petro du Preez
2010-01-01
Full Text Available Discussions on discipline in education often accentuate corporal punishment or measures to infuse moral fibre. In addition, many authors argue that inculcating a particular value system can promote discipline in schools. This could however be profoundly problematic in the light of the Constitution. We argue that positive discipline in multicultural school environments needs to be based in part on human rights values that are neither solely universally interpreted nor particularistically interpreted. We report on the data generated at a research workshop held as the final dissemination process of a four-year international research project entitled "Understanding human rights through different belief systems: intercultural and interreligious dialogue". Dialogue was chosen as a form of data gathering since it is more spontaneous than conventional questioning techniques and can thus generate more naturally occurring data to strengthen the outcomes of the project. It appears that some teachers believe discipline can only be maintained through the elevation of cultural values (particularism. We argue that schools should start negotiating, at the most basic level, the values, including emancipatory, human rights values, and cultural values, which could underpin positive discipline in multicultural schools. Drawing solely on cultural values is not only unlikely to solve the problem of discipline, but could also undermine the efforts to transform our diverse, democratic society.
PLANT PATHOLOGY: a discipline at a crossroads.
Weinhold, A R
1996-01-01
The Department of Plant Pathology at the University of California at Berkeley was destroyed as a consequence of a contentious reorganization. The circumstances that led to the reorganization provide some insight into the challenges facing the discipline of plant pathology. The underlying basis for plant pathology as a science is to address problems of plant disease. This requires a balance between disciplinary and problem-solving research and a continuum from achieving fundamental advances in knowledge to the development and implementation of problem-solving approaches. Changes in colleges and universities have placed extreme stress on this essential structure. The dilemma that must be addressed is how to reestablish the problem-solving continuum where it has been broken and strengthen it where it has been weakened. Plants are essential for life, and they will always be affected by disease. The understanding and management of these diseases is the responsibility and the challenge of plant pathology today and in the future.
Conférence - La discipline positive
Staff Association
2018-01-01
Eduquer avec fermeté et bienveillance Véronique Genevay Jeudi 31 mai à 19h00 CERN Meyrin, Salle du Conseil 503-1-001 Venez vous familiariser avec la pensée et le positionnement développé dans la discipline positive. Une approche ni permissive, ni punitive, qui vise à enseigner aux enfants des compétences comme la confiance en soi, l’autonomie, le respect de soi-même et le respect mutuel, la responsabilité, la coopération… Inscrivez-vous : https://indico.cern.ch/e/disciplinepositive Pour plus d’informations : staff.association@cern.ch ou (+41) 022 766 37 38
Pervasive Healthcare as a Scientific Discipline
DEFF Research Database (Denmark)
Bardram, Jakob Eyvind
2008-01-01
computing technology can be designed to meet these challenges. The objective of this paper is to discuss ‘pervasive healthcare’ as a research field and tries to establish how novel and distinct it is, compared to related work within biomedical engineering, medical informatics, and ubiquitous computing....... Methods: The paper presents the research questions, approach, technologies, and methods of pervasive healthcare and discusses these in comparison to those of other related scientific disciplines. Results: A set of central research themes are presented; monitoring and body sensor networks; pervasive......-aware technologies for hospitals. Both projects approach the healthcare challenges in a new way, apply a new type of research method, and come up with new kinds of technological solutions. ‘Clinical proof-of-concept’ is recommended as a new method for pervasive healthcare research; the method helps design and test...
Learning HCI Across Institutions, Disciplines and Countries
DEFF Research Database (Denmark)
Abdelnour-Nocera, José; Clemmensen, Torkil; Guimaraes, Tatiane G.
2017-01-01
, we studied the performance of HCI students in design, technology and business faculties in universities in UK, India, Namibia, Mexico and China who participated in a common set of design and evaluation tasks. We obtained participants’ cognitive style profiles based on Allinson and Hayes scale......Human-computer interaction (HCI) is increasingly becoming a subject taught in universities around the world. However, little is known of the interactions of the HCI curriculum with students in different types of institutions and disciplines internationally. In order to explore these interactions...... in order to gain further insights into their learning styles and explore any relation between these and performance. We found participants’ cognitive style preferences to be predominantly in the adaptive range, i.e. with combined analytical and intuitive traits, compared to normative data for software...
The Dojang: School of Discipline and Morality
Directory of Open Access Journals (Sweden)
Gonzalo Ariel Millán
2015-04-01
Full Text Available Martial arts can be defined as history in motion. Few sport activities of international fame represent a complex symbolic and practical repertory of ethic morality and aesthetic sensuality so distinctive of a nation as the Korean martial disciplines do, especially taekwondo and gumdo. Similar to other combat sports the martial arts gym (dojang is the place where values are produced and reproduced and where the appropriation of skills, cognition and recognition – degrees, certificates, and so on – that legitimates the social and bodily devotion of an individual to a martial art takes place. This article aims to transmit the emotions generated in a neophyte by the practice of a martial art and the social and kinaesthetic strains that result from this action in modern Korean society. It also explores some of the historical factors linked to its development and rapid expansion, in barely half a century.
Data science as an academic discipline
Directory of Open Access Journals (Sweden)
F Jack Smith
2006-11-01
Full Text Available I recall being a proud young academic about 1970; I had just received a research grant to build and study a scientific database, and I had joined CODATA. I was looking forward to the future in this new exciting discipline when the head of my department, an internationally known professor, advised me that data was “a low level activity” not suitable for an academic. I recall my dismay. What can we do to ensure that this does not happen again and that data science is universally recognized as a worthwhile academic activity? Incidentally, I did not take that advice, or I would not be writing this essay, but moved into computer science. I will use my experience to draw comparisons between the problems computer science had to become academically recognized and those faced by data science.
A new discipline: Confined Areas Medicine
Directory of Open Access Journals (Sweden)
Stefano Agostinis
2009-08-01
Full Text Available The Confined Areas Medicine is a new discipline devoted to a specific branch of the components of emergency services. In it convey the characteristics typical of behavioral intervention in hostile area peculiar of the National Fire Corps and the National Speleological and Alpine Corps. While not considering the natural events that cause the collapse of housing the Italian case reported in the last fifty years about two hundred structural collapses that are charged over a thousand deaths (source: ISTAT 2006. Analysis of the documents accessible to the public today we can say without fear of denials, that 25% of these deaths are due to relief late or ineffective treatment on the spot. In fact, the NFPA (National Fire Protection Association claims that 10% of victims trapped under the rubble can be saved with a location and an early recovery, which can significantly increase this percentage with the health care stabilization directly at the place of discovery.
MATHEMATICAL PROBLEMS OF INTEGRATIVE CONTENTS
Directory of Open Access Journals (Sweden)
V. Kushnir
2014-09-01
Full Text Available The tasks of integrative content requires the use of knowledge and skills on various themes both one discipline and different disciplines. Mostly in the classroom (or in homework the tasks on the properties absorption of different concepts using different theories are considered. Thus knowledge within only one discipline is formed, knowledge of the narrow sense (one subject. Such knowledge is "prescriptional", we call it idealized. After all, it is far from models of the real professional problems and problems of life in general, in order to solve them it is necessary to apply knowledge and skills acquired in different themes of the same objects,life experience. Practical formation of integrative knowledge requires statement of the educational problems before the subjects of studying, the problems within the "narrow objectivity" can not be resolved at all, or such kind of solving is too difficult to solve, for example, the nature and the context of solving problems (scientific approaches to solving problems, creating mathematical models, methods for solving such models, means of solving, application of methods, analysis of the models solution and the right choice, the inspection of solutions, etc. will sink in the conglomeration of technical operations. The problems with integrative content are usually more complicated than the problems of "narrow objectivity." In our problems the index of such difficulty is the essence of educational content, which is disclosed in the previous paragraph. The problems solution proposed in this article requires knowledge of the structural geometry (circle construction, touching two or three laps: with analytic geometry (method of coordinates on the plane; the distance between two points on the coordinate plane; algebra (system drawing irrational equations, method for solving such system, the solution of the system, analysis of the results and the right choose of the desired solution for found criterion, testing
Making Visible and Acting on Issues of Racism and Racialization in School Mathematics
Morvan, Jhonel A.
2017-01-01
Schools, as social systems, may knowingly or unintentionally perpetuate inequities through unchallenged oppressive systems. This paper focuses on mathematics as a subject area in school practices in which inequities seem to be considered normal. Issues of racism and racialization in the discipline of mathematics are predominantly lived through the…
Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean
2014-01-01
The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…
International Nuclear Information System (INIS)
Prykarpatsky, A.K.; Bogoliubov, N.N. Jr.; Golenia, J.; Taneri, U.
2007-09-01
Introductive backgrounds of a new mathematical physics discipline - Quantum Mathematics - are discussed and analyzed both from historical and analytical points of view. The magic properties of the second quantization method, invented by V. Fock in 1934, are demonstrated, and an impressive application to the nonlinear dynamical systems theory is considered. (author)
Mahanin, Hajah Umisuzimah Haji; Shahrill, Masitah; Tan, Abby; Mahadi, Mar Aswandi
2017-01-01
This study investigated the use of interdisciplinary learning activity task to construct students' knowledge in Mathematics, specifically on the topic of scale drawing application. The learning activity task involved more than one academic discipline, which is Mathematics, English Language, Art, Geography and integrating the Brunei Darussalam…
Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.
2017-01-01
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…
Sacristán, Ana Isabel; Pretelín-Ricárdez, Angel
2017-01-01
This work is part of a research project that aims to enhance engineering students' learning of how to apply mathematics in modelling activities of real-world situations, through the construction (design and programming) of videogames. We want also for students to relate their mathematical knowledge with other disciplines (e.g., physics, computer…
Socially Response-Able Mathematics Education: Implications of an Ethical Approach
Atweh, Bill; Brady, Kate
2009-01-01
This paper discusses an approach to mathematics education based on the concept of ethical responsibility. It argues that an ethical approach to mathematics teaching lays the theoretical foundations for social justice concerns in the discipline. The paper develops a particular understanding of ethical responsibility based on the writings of Emanuel…
Cyberbiosecurity: An Emerging New Discipline to Help Safeguard the Bioeconomy.
Murch, Randall S; So, William K; Buchholz, Wallace G; Raman, Sanjay; Peccoud, Jean
2018-01-01
Cyberbiosecurity is being proposed as a formal new enterprise which encompasses cybersecurity, cyber-physical security and biosecurity as applied to biological and biomedical-based systems. In recent years, an array of important meetings and public discussions, commentaries and publications have occurred that highlight numerous vulnerabilities. While necessary first steps, they do not provide a systematized structure for effectively promoting communication, education and training, elucidation and prioritization for analysis, research, development, test and evaluation and implementation of scientific, technological, standards of practice, policy, or even regulatory or legal considerations for protecting the bioeconomy. Further, experts in biosecurity and cybersecurity are generally not aware of each other's domains, expertise, perspectives, priorities, or where mutually supported opportunities exist for which positive outcomes could result. Creating, promoting and advancing a new discipline can assist with formal, beneficial and continuing engagements. Recent key activities and publications that inform the creation of Cyberbiosecurity are briefly reviewed, as is the expansion of Cyberbiosecurity to include biomanufacturing which is supported by a rigorous analysis of a biomanufacturing facility. Recommendations are provided to initialize Cyberbiosecurity and place it on a trajectory to establish a structured and sustainable discipline, forum and enterprise.
Cyberbiosecurity: An Emerging New Discipline to Help Safeguard the Bioeconomy
Directory of Open Access Journals (Sweden)
Randall S. Murch
2018-04-01
Full Text Available Cyberbiosecurity is being proposed as a formal new enterprise which encompasses cybersecurity, cyber-physical security and biosecurity as applied to biological and biomedical-based systems. In recent years, an array of important meetings and public discussions, commentaries and publications have occurred that highlight numerous vulnerabilities. While necessary first steps, they do not provide a systematized structure for effectively promoting communication, education and training, elucidation and prioritization for analysis, research, development, test and evaluation and implementation of scientific, technological, standards of practice, policy, or even regulatory or legal considerations for protecting the bioeconomy. Further, experts in biosecurity and cybersecurity are generally not aware of each other's domains, expertise, perspectives, priorities, or where mutually supported opportunities exist for which positive outcomes could result. Creating, promoting and advancing a new discipline can assist with formal, beneficial and continuing engagements. Recent key activities and publications that inform the creation of Cyberbiosecurity are briefly reviewed, as is the expansion of Cyberbiosecurity to include biomanufacturing which is supported by a rigorous analysis of a biomanufacturing facility. Recommendations are provided to initialize Cyberbiosecurity and place it on a trajectory to establish a structured and sustainable discipline, forum and enterprise.
Swordmanship as Mathematical Science: The Curious Case of Luis Pacheco de Narváez
Directory of Open Access Journals (Sweden)
Felix Kurt Ernst Schmelzer
2016-11-01
Full Text Available From the 15th century on, the practitioners of the mechanical arts obtain a new self-confidence and do no longer want to be regarded merely as manual workers. In this context, they frequently underline the mathematical basis of their discipline in order to increase its value from the status of a mechanical to that of a liberal art. In the Spanish golden age period, the military art, amongst others, is conceived as a mathematical discipline. A particularly curious case is the Libro de las grandezas de la espada (1600 whose author, Luis Pacheco de Narváez (1570-1640, propagates the art of swordsmanship, which he names «the true skill», as a science based on the disciplines of the quadrivium. The present article outlines the arguments applied by Pacheco in a preliminary chapter in order to prove the mathematical and scientific status of his discipline.
How Many Disciplines Does It Take to Tackle Climate Change?
Campbell, S.; Calderazzo, J.
2015-12-01
Through my involvement in two multidisciplinary climate change education and outreach projects, the website 100 Views of Climate Change and Changing Climates @ Colorado State, I have come to understand that just as this problem is everybody's business, almost everybody has something to contribute to understanding and dealing with it. This is certainly true of the academic disciplines represented on college campuses, where faculty from nearly every department have relevant things to teach their students: speakers in a climate-change lecture series we organized came from 27 departments in 8 colleges, plus numerous other campus and local entities, and more could have been included. As one convener of this AGU session, I have worked to include a good sample of these varied and complementary disciplinary perspectives. Inevitably, though, this sample leaves significant gaps in what would constitute a robust cross-campus climate literacy, and I will talk about some of these missing disciplinary perspectives and why they are important.
The Rationality Debate: Application of Cognitive Psychology to Mathematics Education
Leron, Uri; Hazzan, Orit
2006-01-01
Research in mathematics education usually attempts to look into students' learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical…
ICT Integration Level of Mathematics Tutors of Colleges of Education ...
African Journals Online (AJOL)
ICT Integration Level of Mathematics Tutors of Colleges of Education in Ghana. ... International Journal of Pedagogy, Policy and ICT in Education ... The study used a developmental research design which is a disciplined inquiry conducted in the context of the development of a product or programme for the purpose of ...
Trajectories of Mathematics and Technology Education Pointing to Engineering Design
Daugherty, Jenny L.; Reese, George C.; Merrill, Chris
2010-01-01
A brief examination and comparison of mathematics and technology education provides the background for a discussion of integration. In particular, members of each field have responded to the increasing pressures to better prepare students for the technologically rich, globally competitive future. Approaches based within each discipline are varied…
The zone of proximal development in the learning of mathematics ...
African Journals Online (AJOL)
South Africa has a huge shortage of skilled workers in various fields such as engineering, applied sciences, accountancy, architecture, medicine and law. Mathematics is a requirement for entry in these careers to enable learners to grasp the content of various subjects in these disciplines. Despite that, in South Africa, ...
Designing Opportunities to Learn Mathematics Theory-Building Practices
Bass, Hyman
2017-01-01
Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…
Embedding Diagnostic Mechanisms in a Digital Game for Learning Mathematics
Huang, Yueh-Min; Huang, Shu-Hsien; Wu, Ting-Ting
2014-01-01
Mathematics is closely related to daily life, but it is also one of the lessons which often cause anxiety to primary school students. Digital game-based learning (DGBL) has been regarded as a sound learning strategy in raising learner willingness and interest in many disciplines. Thus, ways of designing a DGBL system to mitigate anxiety are well…
The Zone of Proximal Development in the Learning of Mathematics
Siyepu, Sibawu
2013-01-01
South Africa has a huge shortage of skilled workers in various fields such as engineering, applied sciences, accountancy, architecture, medicine and law. Mathematics is a requirement for entry in these careers to enable learners to grasp the content of various subjects in these disciplines. Despite that, in South Africa, learners' performance in…
Mathematical Processes: A Viewpoint-oriented Manipulation Perspective
DEFF Research Database (Denmark)
Badie, Farshad
2008-01-01
View-point oriented manipulation of concepts can be helpful for generating new ideas in basic sciences and in the meantime, justifying the processes that are principally meaningful to the related disciplines. Mathematics, as a major ground for basic sciences, seems to be an appropriate exemplar t...
Mathematics Learning by Programming in a Game Engine
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Timcenko, Olga; Misfeldt, Morten
2017-01-01
This paper emerges from our research focusing on mathematics education in trans-disciplinary engineering programs and presents a case study in such an engineering discipline, namely the Media Technology program at Aalborg University Copenhagen, Denmark. In this case study, we substituted traditio...
Control Engineering, System Theory and Mathematics: The Teacher's Challenge
Zenger, K.
2007-01-01
The principles, difficulties and challenges in control education are discussed and compared to the similar problems in the teaching of mathematics and systems science in general. The difficulties of today's students to appreciate the classical teaching of engineering disciplines, which are based on rigorous and scientifically sound grounds, are…
Negotiating the Boundaries Between Mathematics and Physics
Radtka, Catherine
2015-07-01
This paper examines physics and mathematics textbooks published in France at the end of the 1950s and at the beginning of the 1960s for children aged 11-15 years old. It argues that at this "middle school" level, textbooks contributed to shape cultural representations of both disciplines and their mutual boundaries through their contents and their material aspect. Further, this paper argues that far from presenting clearly delimited subjects, late 1950s textbooks offered possible connections between mathematics and physics. It highlights that such connections depended upon the type of schools the textbooks aimed at, at a time when educational organization still differentiated pupils of this age. It thus stresses how the audience and its projected aptitudes and needs, as well as the cultural teaching traditions of the teachers in charge, were inseparable from the diverse conceptions of mathematics and physics and their relationships promoted through textbooks of the time.
Ancient Indian Leaps into Mathematics
Yadav, B S
2011-01-01
This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines th
A course of higher mathematics
Smirnov, Vladimir Ivanovich; Lohwater, A J
1964-01-01
A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameter
An introduction to mathematical modeling
Bender, Edward A
2000-01-01
Employing a practical, ""learn by doing"" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields - including science, engineering, and operations research - to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The
Teaching mathematics using excel
Bonello, Mary Rose; Camilleri, Silvana
2004-01-01
'Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.' (Principles and Standards for School Mathematics-NCTM April 2000)
Figures of thought mathematics and mathematical texts
Reed, David
2003-01-01
Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.
Steinbring, Heinz
2005-01-01
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical develo...
TIMSS 2003: Relating dimensions of mathematics attitude to mathematics achievement
Directory of Open Access Journals (Sweden)
Kadijević Đorđe
2008-01-01
Full Text Available This study, which used a sample of 137,346 students from thirty three countries that participated in the TIMSS 2003 project in the eighth grade, examined the features of the individual and collective relations of three dimensions of mathematics attitude to mathematics achievement (MA, searching for the dimension mostly related to that achievement. The three dimensions of mathematics attitude were self-confidence in learning mathematics (SCLM, liking mathematics (LM and usefulness of mathematics (UM. By utilizing psychometrically valid and reliable measures of the three dimensions, it was found that: (1 each dimension of mathematics attitude alone was positively related to MA for almost all thirty three countries; (2 SCLM was primarily related to MA for thirty one countries; (3 when the two other dimensions were held constant, SCLM was positively related to MA for thirty three countries, LM was negatively related to MA for thirty countries, whereas UM was not related to MA for twenty one countries; (4 positive collective relationships of SCLM, LM and UM to MA considerably varied from country to country. Implications for research and practice are included.
Christenson, Nina; Chang Rundgren, Shu-Nu; Zeidler, Dana L.
2014-08-01
In the present STEM (Science, Technology, Engineering, and Mathematics)-driven society, socioscientific issues (SSI) have become a focus globally and SSI research has grown into an important area of study in science education. Since students attending the social and science programs have a different focus in their studies and research has shown that students attending a science program are less familiar with argumentation practice, we make a comparison of the supporting reasons social science and science majors use in arguing different SSI with the goal to provide important information for pedagogical decisions about curriculum and instruction. As an analytical framework, a model termed SEE-SEP covering three aspects (of knowledge, value, and experiences) and six subject areas (of sociology/culture, economy, environment/ecology, science, ethics/morality, and policy) was adopted to analyze students' justifications. A total of 208 upper secondary students (105 social science majors and 103 science majors) from Sweden were invited to justify and expound their arguments on four SSI including global warming, genetically modified organisms (GMO), nuclear power, and consumer consumption. The results showed that the social science majors generated more justifications than the science majors, the aspect of value was used most in students' argumentation regardless of students' discipline background, and justifications from the subject area of science were most often presented in nuclear power and GMO issues. We conclude by arguing that engaging teachers from different subjects to cooperate when teaching argumentation on SSI could be of great value and provide students from both social science and science programs the best possible conditions in which to develop argumentation skills.
Elementary and Advanced Mathematic thinking as human activity in permanent evolution.
Directory of Open Access Journals (Sweden)
Mauricio Penagos
2017-01-01
Full Text Available The objective of this text is to present a reflection and analysis about the processes in the development of fundamental and advanced mathematical thinking as a human activity. Traditionally, mathematics education has had two barriers to overcome: First, advanced mathematical thinking is only shown at a determined age and therefore it must be addressed in university level courses. Second, the teachers of this discipline regularly introduce mathematics to students as a body of complete and irrefutable knowledge shared by a scientific community. The task of the student is to learn it, do demonstrations and reproduce this knowledge in a given period of time. Mathematical entities or objects that in occasions have taken centuries to build. In contrast with the true sense of education of this discipline that must be to empower in the students the development of mathematical thinking.
d'Anjou, Philippe
2004-04-01
The paper addresses the integration of ethics into professional education related to the disciplines responsible for the conception and creation of the artificial (artefactual or technology). The ontological-epistemological paradigm of those disciplines is understood within the frame of the sciences of the artificial as established by Herbert Simon (1969). According to that paradigm, those sciences include disciplines not only related to the production of artefacts (technology), such as engineering, architecture, industrial design, etc, but also disciplines related to devised courses of action aimed at changing existing situations into preferred ones, like medicine, law, education, etc. They are centered on intentional action and at their core is the activity of design, which is their common foundation and attitude, or their common culture. The science of design becomes the broader foundational discipline for any professions engaged in the intentional transformation of the world. The main distinction between design disciplines and scientific ones rests on the object-project dichotomy. Indeed, contrary to Science that sees the world as an object to be observed, Design sees the world as a project and acts upon the world through projects, which are grounded in intentions, ends, and values. Design disciplines are meant to transform the world, or part of it, and are teleological. Being so, they are embodied in an act that is ethical and their ontology-epistemology must be addressed also through practical reason to resituate all professional disciplines according to their involved nature. The paper introduces theoretical, methodological, and ethical elements to establish a model that integrates ethics into the education of the professional disciplines, design-based disciplines, responsible for the creation of the artificial, artefactual or technological, world. The model is articulated around the notions of ethical engagement and responsibility through the act of design
Eddy, Sarah L.; Brownell, Sara E.
2016-12-01
[This paper is part of the Focused Collection on Gender in Physics.] This focused collection explores inequalities in the experiences of women in physics. Yet, it is important for researchers to also be aware of and draw insights from common patterns in the experiences of women across science, technology, engineering and mathematics (STEM) disciplines. Here, we review studies on gender disparities across college STEM on measures that have been correlated with retention. These include disparities in academic performance, engagement, self-efficacy, belonging, and identity. We argue that observable factors such as persistence, performance, and engagement can inform researchers about what populations are disadvantaged in a STEM classroom or program, but we need to measure underlying mechanisms to understand how these inequalities arise. We present a framework that helps connect larger sociocultural factors, including stereotypes and gendered socialization, to student affect and observable behaviors in STEM contexts. We highlight four mechanisms that demonstrate how sociocultural factors could impact women in STEM classrooms and majors. We end with a set of recommendations for how we can more holistically evaluate the experiences of women in STEM to help mitigate the underlying inequities instead of applying a quick fix.
DOE Fundamentals Handbook: Mathematics, Volume 1
International Nuclear Information System (INIS)
1992-06-01
The Mathematics Fundamentals Handbook was developed to assist nuclear facility operating contractors provide operators, maintenance personnel, and the technical staff with the necessary fundamentals training to ensure a basic understanding of mathematics and its application to facility operation. The handbook includes a review of introductory mathematics and the concepts and functional use of algebra, geometry, trigonometry, and calculus. Word problems, equations, calculations, and practical exercises that require the use of each of the mathematical concepts are also presented. This information will provide personnel with a foundation for understanding and performing basic mathematical calculations that are associated with various DOE nuclear facility operations
Mathematics for common entrance three (extension) answers
Alexander, Serena
2015-01-01
This book contains answers to all exercises featured in the accompanying textbook Mathematics for Common Entrance Three (Extension) , which provides essential preparation for Level 3 of the ISEB 13+ Mathematics exam, as well as for CASE and other scholarship exams. - Clean, clear layout for easy marking. - Includes examples of high-scoring answers with diagrams and workings. Also available to purchase from the Galore Park website www.galorepark.co.uk :. - Mathematics for Common Entrance Three (Extension). - Mathematics for Common Entrance One. - Mathematics for Common Entrance One Answers. - M
DOE Fundamentals Handbook: Mathematics, Volume 2
International Nuclear Information System (INIS)
1992-06-01
The Mathematics Fundamentals Handbook was developed to assist nuclear facility operating contractors provide operators, maintenance personnel, and the technical staff with the necessary fundamentals training to ensure a basic understanding of mathematics and its application to facility operation. The handbook includes a review of introductory mathematics and the concepts and functional use of algebra, geometry, trigonometry, and calculus. Word problems, equations, calculations, and practical exercises that require the use of each of the mathematical concepts are also presented. This information will provide personnel with a foundation for understanding and performing basic mathematical calculations that are associated with various DOE nuclear facility operations
Directory of Open Access Journals (Sweden)
Fitria Habsah
2017-05-01
Full Text Available This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook and 29 students in a control class (using BSE book from the government. The teaching material was categorized valid if the expert's judgment at least is categorized as “good”. The teaching material was categorized practical if both of teachers and students assessment at least categorized as “good”. The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as “good” for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as “good” is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.
Comparison of E-Book Acquisitions Strategies Across Disciplines Finds Differences in Cost and Usage
Directory of Open Access Journals (Sweden)
Laura Costello
2017-03-01
Full Text Available Carrico, S.B., Cataldo, T.T., Botero, C., & Shelton, T. Objective – To compare e-book cost-usage data across different acquisitions styles and disciplines. Design – Case study. Setting – A public research university serving an annual enrollment of over 49,000 students and employing more than 3,000 faculty members in the Southern United States. Subjects – Cost and usage data from 15,006 e-books acquired by the Library through packages, firm orders, and demand-driven acquisitions. Methods – Data was collected from publishers and vendors across the three acquisitions strategies. Usage, cost, and call number information was collected for the materials purchased via firm order or demand driven acquisitions and these were sorted into disciplines based on the call number assigned. Discipline, cost, and use were determined for each package collection as a whole because information on individual titles was not provided by the publishers. The authors then compared usage and cost across disciplines and acquisitions strategies. Main Results – Overall, e-books purchased in packages had a 50% use rate and an average cost per use of $3.39, e-books purchased through firm orders had a 52% use rate and an average cost per use of $22.21, and e-books purchased through demand driven acquisitions had an average cost per use of $8.88 and 13.9 average uses per title. Package purchasing was cost effective for science, technology, engineering, and mathematics (STEM materials and medicine (MED materials. Demand driven acquisition was a particularly good strategy for humanities and social sciences (HSS titles. Conclusion – There are differences between the acquisitions strategies and disciplines in cost and use. Firm orders had a higher cost per use than the other acquisitions strategies. Commentary This study examined cost per use across three acquisitions styles and three disciplinary groups. The results agree with studies from other institutions that have
Mathematical Modelling Approach in Mathematics Education
Arseven, Ayla
2015-01-01
The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…
Discrete Mathematics and the Secondary Mathematics Curriculum.
Dossey, John
Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…
Introducing philosophy of mathematics
Friend, Michele
2014-01-01
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc
Identification of Disciplines and Fields. Edis Task I Report, Work Unit 1.4.
Howard Research Co., Arlington, VA.
This report presents the identification and definitions of subject oriented engineering and scientific disciplines and fields which are included in the EDIS Subject Categories. The discussion is extended to include the mix of subjects with other orientations, such as Item, Mission-Project, Expertise and Data Bank Categories. Sample queries are…
A Voyage of Mathematical and Cultural Awareness for Students of Upper Secondary School
Panagiotou, Evangelos N.
2014-01-01
Many papers have emphasized the need for and importance of particular examples and the underlying rationale for introducing a historical dimension in mathematics education. This article presents the development and implementation of a project, based on original sources, in a situation where the existing curriculum does not include history. The subject was conic sections and the motivating problems and original work which eventually found resolution in modern concepts. The project was carried out during the school year 2006-2007 with 18 students of a Greek experimental high school 2nd class (11th degree). It was devised as a series of worksheets, separate readings and oral presentations and written essays so that students might appreciate that mathematics evolves under the influence of factors intrinsic and extrinsic to it. Both epistemological and disciplinary issues are taken into account. Even though this work is just one case study, we have found that exposing students directly to primary sources in mathematics contributes greatly to motivation and understanding, and illustrates the nature of mathematics as a discipline and as a human endeavour.
Foundations in Science and Mathematics Program for Middle School and High School Students
Desai, Karna Mahadev; Yang, Jing; Hemann, Jason
2016-01-01
The Foundations in Science and Mathematics (FSM) is a graduate student led summer program designed to help middle school and high school students strengthen their knowledge and skills in mathematics and science. FSM provides two-week-long courses over a broad spectrum of disciplines including astronomy, biology, chemistry, computer programming, geology, mathematics, and physics. Students can chose two types of courses: (1) courses that help students learn the fundamental concepts in basic sciences and mathematics (e.g., "Precalculus"); and (2) knowledge courses that might be excluded from formal schooling (e.g., "Introduction to Universe"). FSM has served over 500 students in the Bloomington, IN, community over six years by acquiring funding from Indiana University and the Indiana Space Grant Consortium. FSM offers graduate students the opportunity to obtain first hand experience through independent teaching and curriculum design as well as leadership experience.We present the design of the program, review the achievements, and explore the challenges we face. We are open to collaboration with similar educational outreach programs. For more information, please visit http://www.indiana.edu/~fsm/ .
A Brief Historical Development of Classical Mathematics before the Renaissance
Debnath, Lokenath
2011-01-01
This article deals with a short history of mathematics and mathematical scientists during the ancient and medieval periods. Included are some major developments of the ancient, Indian, Arabic, Egyptian, Greek and medieval mathematics and their significant impact on the Renaissance mathematics. Special attention is given to many results, theorems,…