Sagirli, Meryem Özturan
2016-01-01
The aim of the present study is to investigate pre-service secondary mathematics teachers' cognitive-metacognitive behaviours during the mathematical problem-solving process considering class level. The study, in which the case study methodology was employed, was carried out with eight pre-service mathematics teachers, enrolled at a university in…
Huang, Jian; Du, Feng-lei; Yao, Yuan; Wan, Qun; Wang, Xiao-Song; Chen, Fei-Yan
2015-08-01
Distance effect has been regarded as the best established marker of basic numerical magnitude processes and is related to individual mathematical abilities. A larger behavioral distance effect is suggested to be concomitant with lower mathematical achievement in children. However, the relationship between distance effect and superior mathematical abilities is unclear. One could get superior mathematical abilities by acquiring the skill of abacus-based mental calculation (AMC), which can be used to solve calculation problems with exceptional speed and high accuracy. In the current study, we explore the relationship between distance effect and superior mathematical abilities by examining whether and how the AMC training modifies numerical magnitude processing. Thus, mathematical competencies were tested in 18 abacus-trained children (who accepted the AMC training) and 18 non-trained children. Electroencephalography (EEG) waveforms were recorded when these children executed numerical comparison tasks in both Arabic digit and dot array forms. We found that: (a) the abacus-trained group had superior mathematical abilities than their peers; (b) distance effects were found both in behavioral results and on EEG waveforms; (c) the distance effect size of the average amplitude on the late negative-going component was different between groups in the digit task, with a larger effect size for abacus-trained children; (d) both the behavioral and EEG distance effects were modulated by the notation. These results revealed that the neural substrates of magnitude processing were modified by AMC training, and suggested that the mechanism of the representation of numerical magnitude for children with superior mathematical abilities was different from their peers. In addition, the results provide evidence for a view of non-abstract numerical representation.
Mathematical statistics and stochastic processes
Bosq, Denis
2013-01-01
Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today's practitioners.Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and rob
Warwick, Jon
2007-01-01
The decline in the development of mathematical skills in students prior to university entrance has been a matter of concern to UK higher education staff for a number of years. This article describes a pilot study that uses the Analytic Hierarchy Process to quantify the mathematical experiences of computing students prior to the start of a first…
Afsaneh Poorang
2014-03-01
Full Text Available In the creation of substances for developing and thinking of cognitive levels in mathematics from elementary course and recognizing effective variables of all external factors of mathematics, researchers have considered through designing hypothesis and effort to find the relation of reading literacy level and cognitive levels in mathematics of fourth grade among girls and boys and cognitive capacities of them in Tehran. The evaluation of reading literacy with the definition of comprehension process as index in surface layers spectrum such as focusing and reviewing information that are be stated in text and directive induction has organized. On other hands, mathematics evaluation has implemented for both content and cognitive dimensions. Research process has formed with selecting eight schools and in two tests. Reading literacy tests with the aim of evaluation of comprehension process and math test with the aim of the evaluation of cognitive levels have implemented for two classes of each schools. Research hypotheses have tested based on researching positive correlative between surface layers of comprehension with cognitive levels in mathematics meaningfully that have organized in three levels of knowing, application and reasoning. Instrumentation of the performance of comprehension have included two literary-information texts of PIRLS test 2011 and the collection of two respected notebooks and instrumentation of performance of cognitive levels in mathematics such as on notebook of TIMSS 2011. The procedure of testing hypotheses with Spearman correlative coefficient method have performed that all hypotheses have accepted meaningfully. Therefore, there is significant and directive relation between comprehension processes as reading literacy with cognitive capacities of students in mathematics of fourth grade.
An Emergent Framework: Views of Mathematical Processes
Sanchez, Wendy B.; Lischka, Alyson E.; Edenfield, Kelly W.; Gammill, Rebecca
2015-01-01
The findings reported in this paper were generated from a case study of teacher leaders at a state-level mathematics conference. Investigation focused on how participants viewed the mathematical processes of communication, connections, representations, problem solving, and reasoning and proof. Purposeful sampling was employed to select nine…
Mathematical modeling of biological processes
Friedman, Avner
2014-01-01
This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.
Mathematical problems in image processing
Chidume, C.E.
2000-01-01
This is the second volume of a new series of lecture notes of the Abdus Salam International Centre for Theoretical Physics. This volume contains the lecture notes given by A. Chambolle during the School on Mathematical Problems in Image Processing. The school consisted of two weeks of lecture courses and one week of conference
Mathematical modelling in economic processes.
L.V. Kravtsova
2008-06-01
Full Text Available In article are considered a number of methods of mathematical modelling of economic processes and opportunities of use of spreadsheets Excel for reception of the optimum decision of tasks or calculation of financial operations with the help of the built-in functions.
Brain correlates of mathematical competence in processing mathematical representations
Roland H. Grabner
2011-11-01
Full Text Available The ability to extract numerical information from different representation formats (e.g., equations, tables, or diagrams is a key component of mathematical competence but little is known about its neural correlate. Previous studies comparing mathematically less and more competent adults have focused on mental arithmetic and reported differences in left angular gyrus activity which were interpreted to reflect differential reliance on arithmetic fact retrieval during problem solving. The aim of the present functional magnetic resonance imaging (fMRI study was to investigate the brain correlates of mathematical competence in a task requiring the processing of typical mathematical representations. Twenty-eight adults of lower and higher mathematical competence worked on a representation matching task in which they had to evaluate whether the numerical information of a symbolic equation matches that of a bar chart. Two task conditions without and one condition with arithmetic demands were administered. Both competence groups performed equally well in the non-arithmetic conditions and only differed in accuracy in the condition requiring calculation. Activation contrasts between the groups revealed consistently stronger left angular gyrus activation in the more competent individuals across all three task conditions. The finding of competence-related activation differences independently of arithmetic demands suggests that more and less competent individuals differ in a cognitive process other than arithmetic fact retrieval. Specifically, it is argued that the stronger left angular gyrus activity in the more competent adults may reflect their higher proficiency in processing mathematical symbols. Moreover, the study demonstrates competence-related parietal activation differences that were not accompanied by differential experimental performance.
Metacognition Process of Students with High Mathematics Anxiety in Mathematics Problem-Solving
Patrisius Afrisno Udil; Tri Atmojo Kusmayadi; Riyadi Riyadi
2017-01-01
This study aims to find out students’ metacognition process while solving the mathematics problem. It focuses on analyzing the metacognition process of students with high mathematics anxiety based on Polya’s problem solving phases. This study uses qualitative research with case study strategy. The subjects consist of 8 students of 7th grade selected through purposive sampling. Data in the form of Mathematics Anxiety Scale (MAS) result and recorded interview while solving mathematics problems ...
Mathematical Modeling: A Structured Process
Anhalt, Cynthia Oropesa; Cortez, Ricardo
2015-01-01
Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…
Mumcu, Hayal Yavuz
2016-01-01
The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…
Digital image processing mathematical and computational methods
Blackledge, J M
2005-01-01
This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the 'physics' of imaging systems. Case studies reinforce the methods discussed, with examples of current research
Processes involved in solving mathematical problems
Shahrill, Masitah; Putri, Ratu Ilma Indra; Zulkardi, Prahmana, Rully Charitas Indra
2018-04-01
This study examines one of the instructional practices features utilized within the Year 8 mathematics lessons in Brunei Darussalam. The codes from the TIMSS 1999 Video Study were applied and strictly followed, and from the 183 mathematics problems recorded, there were 95 problems with a solution presented during the public segments of the video-recorded lesson sequences of the four sampled teachers. The analyses involved firstly, identifying the processes related to mathematical problem statements, and secondly, examining the different processes used in solving the mathematical problems for each problem publicly completed during the lessons. The findings revealed that for three of the teachers, their problem statements coded as `using procedures' ranged from 64% to 83%, while the remaining teacher had 40% of his problem statements coded as `making connections.' The processes used when solving the problems were mainly `using procedures', and none of the problems were coded as `giving results only'. Furthermore, all four teachers made use of making the relevant connections in solving the problems given to their respective students.
A mathematical model for process cycle time - theory and case study
Filip Tošenovský
2011-04-01
Full Text Available The article focuses on derivation of a regression model which describes dependence of process cycle time on relevant factors entering the process. The analyzed processes are typical in that the coefficient of variation of times corresponding to a given level of influential factors remains stable if the level of the factors change. The derived model is subsequently applied to real industrial data which show that such a model is suitable for the description of relations. The paper has been published with support of Slovak Ministry of Education project KEGA 3/6411/08 „Transformation of the already existing study programme Management of production quality to an university-wide bilingual study programme“.
A MATHEMATICAL MODEL FOR PROCESS CYCLE TIME - THEORY AND CASE STUDY
FILIP TOŠENOVSKÝ
2010-12-01
Full Text Available The article focuses on derivation of a regression model which describes dependence of process cycle time on relevant factors entering the process. The analyzed processes are typical in that the coefficient of variation of times corresponding to a given level of influential factors remains stable if the level of the factors change. The derived model is subsequently applied to real industrial data which show that such a model is suitable for the description of relations. The paper has been published with support of Slovak Ministry of Education project KEGA 3/6411/08 „Transformation of the already existing study programme Management of production quality to an university-wide bilingual study programme“.
Iglesias-Sarmiento, Valentin; Deano, Manuel
2011-01-01
This investigation analyzed the relation between cognitive functioning and mathematical achievement in 114 students in fourth, fifth, and sixth grades. Differences in cognitive performance were studied concurrently in three selected achievement groups: mathematical learning disability group (MLD), low achieving group (LA), and typically achieving…
Adding structure to the transition process to advanced mathematical activity
Engelbrecht, Johann
2010-03-01
The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical deductive reasoning, required in advanced mathematics. It is necessary to assist students in this transition process, in moving from general to mathematical thinking. In this article some structure is suggested for this transition period. This essay is an argumentative exposition supported by personal experience and international literature. This makes this study theoretical rather than empirical.
Anna Baczko-Dombi
2018-02-01
Full Text Available Mathematics, as no other school subject, evokes conflicting emotions and contradictory attitudes – from “the gate to a career” and “the queen of science” to the widespread acceptance of mathematical ignorance in society. The process of studying mathematics requires systematic work and patience, as mathematical knowledge has a cumulative nature. In the case of mathematics education, some students abandon mathematics at quite early levels of education and begin to consider themselves “humanists”, which results in serious consequences for future educational and career choices. In this paper, I propose a description of the process of escaping from mathematics in the context of students’ perceptions of this subject, using the results of two studies – one qualitative and the other quantitative.
Mathematical foundations of image processing and analysis
Pinoli, Jean-Charles
2014-01-01
Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridg
The (Mathematical) Modeling Process in Biosciences.
Torres, Nestor V; Santos, Guido
2015-01-01
In this communication, we introduce a general framework and discussion on the role of models and the modeling process in the field of biosciences. The objective is to sum up the common procedures during the formalization and analysis of a biological problem from the perspective of Systems Biology, which approaches the study of biological systems as a whole. We begin by presenting the definitions of (biological) system and model. Particular attention is given to the meaning of mathematical model within the context of biology. Then, we present the process of modeling and analysis of biological systems. Three stages are described in detail: conceptualization of the biological system into a model, mathematical formalization of the previous conceptual model and optimization and system management derived from the analysis of the mathematical model. All along this work the main features and shortcomings of the process are analyzed and a set of rules that could help in the task of modeling any biological system are presented. Special regard is given to the formative requirements and the interdisciplinary nature of this approach. We conclude with some general considerations on the challenges that modeling is posing to current biology.
Exploring Mathematical Definition Construction Processes
Ouvrier-Buffet, Cecile
2006-01-01
The definition of "definition" cannot be taken for granted. The problem has been treated from various angles in different journals. Among other questions raised on the subject we find: the notions of "concept definition" and "concept image", conceptions of mathematical definitions, redefinitions, and from a more axiomatic point of view, how to…
Mathematical SETI Statistics, Signal Processing, Space Missions
Maccone, Claudio
2012-01-01
This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will. Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the United Nations to make the central part...
The Process of Student Cognition in Constructing Mathematical Conjecture
Astawa, I. Wayan Puja; Budayasa, I. Ketut; Juniati, Dwi
2018-01-01
This research aims to describe the process of student cognition in constructing mathematical conjecture. Many researchers have studied this process but without giving a detailed explanation of how students understand the information to construct a mathematical conjecture. The researchers focus their analysis on how to construct and prove the…
Fermentation process diagnosis using a mathematical model
Yerushalmi, L; Volesky, B; Votruba, J
1988-09-01
Intriguing physiology of a solvent-producing strain of Clostridium acetobutylicum led to the synthesis of a mathematical model of the acetone-butanol fermentation process. The model presented is capable of describing the process dynamics and the culture behavior during a standard and a substandard acetone-butanol fermentation. In addition to the process kinetic parameters, the model includes the culture physiological parameters, such as the cellular membrane permeability and the number of membrane sites for active transport of sugar. Computer process simulation studies for different culture conditions used the model, and quantitatively pointed out the importance of selected culture parameters that characterize the cell membrane behaviour and play an important role in the control of solvent synthesis by the cell. The theoretical predictions by the new model were confirmed by experimental determination of the cellular membrane permeability.
Mathematical modeling of the flash converting process
Sohn, H.Y.; Perez-Tello, M.; Riihilahti, K.M. [Utah Univ., Salt Lake City, UT (United States)
1996-12-31
An axisymmetric mathematical model for the Kennecott-Outokumpu flash converting process for converting solid copper matte to copper is presented. The model is an adaptation of the comprehensive mathematical model formerly developed at the University of Utah for the flash smelting of copper concentrates. The model incorporates the transport of momentum, heat, mass, and reaction kinetics between gas and particles in a particle-laden turbulent gas jet. The standard k-{epsilon} model is used to describe gas-phase turbulence in an Eulerian framework. The particle-phase is treated from a Lagrangian viewpoint which is coupled to the gas-phase via the source terms in the Eulerian gas-phase governing equations. Matte particles were represented as Cu{sub 2}S yFeS, and assumed to undergo homogeneous oxidation to Cu{sub 2}O, Fe{sub 3}O{sub 4}, and SO{sub 2}. A reaction kinetics mechanism involving both external mass transfer of oxygen gas to the particle surface and diffusion of oxygen through the porous oxide layer is proposed to estimate the particle oxidation rate Predictions of the mathematical model were compared with the experimental data collected in a bench-scale flash converting facility. Good agreement between the model predictions and the measurements was obtained. The model was used to study the effect of different gas-injection configurations on the overall fluid dynamics in a commercial size flash converting shaft. (author)
Mathematical modeling of the flash converting process
Sohn, H Y; Perez-Tello, M; Riihilahti, K M [Utah Univ., Salt Lake City, UT (United States)
1997-12-31
An axisymmetric mathematical model for the Kennecott-Outokumpu flash converting process for converting solid copper matte to copper is presented. The model is an adaptation of the comprehensive mathematical model formerly developed at the University of Utah for the flash smelting of copper concentrates. The model incorporates the transport of momentum, heat, mass, and reaction kinetics between gas and particles in a particle-laden turbulent gas jet. The standard k-{epsilon} model is used to describe gas-phase turbulence in an Eulerian framework. The particle-phase is treated from a Lagrangian viewpoint which is coupled to the gas-phase via the source terms in the Eulerian gas-phase governing equations. Matte particles were represented as Cu{sub 2}S yFeS, and assumed to undergo homogeneous oxidation to Cu{sub 2}O, Fe{sub 3}O{sub 4}, and SO{sub 2}. A reaction kinetics mechanism involving both external mass transfer of oxygen gas to the particle surface and diffusion of oxygen through the porous oxide layer is proposed to estimate the particle oxidation rate Predictions of the mathematical model were compared with the experimental data collected in a bench-scale flash converting facility. Good agreement between the model predictions and the measurements was obtained. The model was used to study the effect of different gas-injection configurations on the overall fluid dynamics in a commercial size flash converting shaft. (author)
Zagorianakos, Andonis; Shvarts, Anna
2015-01-01
The research is a study of the Husserlian approach to intuition, informed by Merleau-Ponty's theory of perception, in the case of a prospective teacher of mathematics. It explores the two major stages-categories of intuition, the essential relations between them, and their vital role in the emergence of empirical and abstract mathematical…
Developmental Relations Among Motor and Cognitive Processes and Mathematics Skills.
Kim, Helyn; Duran, Chelsea A K; Cameron, Claire E; Grissmer, David
2018-03-01
This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years. Associations were dynamic, with more reciprocal transactions occurring in kindergarten than in the later grades. Specifically, visuomotor integration and mathematics exhibited ongoing reciprocity in kindergarten and first grade, attention contributed to mathematics in kindergarten and first grade, mathematics contributed to attention across the kindergarten year only, and fine motor coordination contributed to mathematics indirectly, through visuomotor integration, across kindergarten and first grade. Implications of examining the hierarchical interrelations among processes underlying the development of children's mathematics skills are discussed. © 2017 The Authors. Child Development © 2017 Society for Research in Child Development, Inc.
Middle School Mathematics Students' Perspectives on the Study of Mathematics
Vaughn, Christy H.
2012-01-01
This qualitative study addressed the perceptions toward the study of mathematics by middle school students who had formerly been in a remedial mathematics program. The purpose of the study was to explore the past experiences of nine students in order to determine what is needed for them to feel successful in mathematics. The conceptual framework…
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
Mathematical methods for diffusion MRI processing
Lenglet, C.; Lenglet, C.; Sapiro, G.; Campbell, J.S.W.; Pike, G.B.; Campbell, J.S.W.; Siddiqi, K.; Descoteaux, M.; Haro, G.; Wassermann, D.; Deriche, R.; Wassermann, D.; Anwander, A.; Thompson, P.M.
2009-01-01
In this article, we review recent mathematical models and computational methods for the processing of diffusion Magnetic Resonance Images, including state-of-the-art reconstruction of diffusion models, cerebral white matter connectivity analysis, and segmentation techniques. We focus on Diffusion Tensor Images (DTI) and Q-Ball Images (QBI). (authors)
Mathematics of Information Processing and the Internet
Hart, Eric W.
2010-01-01
The mathematics of information processing and the Internet can be organized around four fundamental themes: (1) access (finding information easily); (2) security (keeping information confidential); (3) accuracy (ensuring accurate information); and (4) efficiency (data compression). In this article, the author discusses each theme with reference to…
Studies in mathematics and mechanics
von Mises, Richard
2013-01-01
Studies in Mathematics and Mechanics is a collection of studies presented to Professor Richard von Mises as a token of reverence and appreciation on the occasion of his seventieth birthday which occurred on April 19, 1953. von Mises' thought has been a stimulus in many seemingly unconnected fields of mathematics, science, and philosophy, to which he has contributed decisive results and new formulations of fundamental concepts. The book contains 42 chapters organized into five parts. Part I contains papers on algebra, number theory and geometry. These include a study of Poincaré's representatio
Wardono; Mariani, S; Hendikawati, P; Ikayani
2017-01-01
Mathematizing process (MP) is the process of modeling a phenomenon mathematically or establish the concept of a phenomenon. There are two mathematizing that is Mathematizing Horizontal (MH) and Mathematizing Vertical (MV). MH as events changes contextual problems into mathematical problems, while MV is the process of formulation of the problem into a variety of settlement mathematics by using some appropriate rules. Mathematics Literacy (ML) is the ability to formulate, implement and interpret mathematics in various contexts, including the capacity to perform reasoning mathematically and using the concepts, procedures, and facts to describe, explain or predict phenomena incident. If junior high school students are conditioned continuously to conduct mathematizing activities on RCP (RME-Card Problem) learning, it will be able to improve ML that refers PISA. The purpose of this research is to know the capability of the MP grade VIII on ML content shape and space with the matter of the cube and beams with RCP learning better than the scientific learning, upgrade MP grade VIII in the issue of the cube and beams with RCP learning better than the scientific learning in terms of cognitive styles reflective and impulsive the MP grade VIII with the approach of the RCP learning in terms of cognitive styles reflective and impulsive This research is the mixed methods model concurrent embedded. The population in this study, i.e., class VIII SMPN 1 Batang with sample two class. Data were taken with the observation, interviews, and tests and analyzed with a different test average of one party the right qualitative and descriptive. The results of this study demonstrate the capability of the MP student with RCP learning better than the scientific learning, upgrade MP with RCP learning better compare with scientific learning in term cognitive style of reflective and impulsive. The subject of the reflective group top, middle, and bottom can meet all the process of MH indicators are
Mathematical modeling of a process the rolling delivery
Stepanov, Mikhail A.; Korolev, Andrey A.
2018-03-01
An adduced analysis of the scientific researches in a domain of the rolling equipments, also research of properties the working material. A one of perspective direction of scientific research this is mathematical modeling. That is broadly used in many scientific disciplines and especially at the technical, applied sciences. With the aid of mathematical modeling it can be study of physical properties of the researching objects and systems. A research of the rolling delivery and transporting devices realized with the aid of a construction of mathematical model of appropriate process. To be described the basic principles and conditions of a construction of mathematical models of the real objects. For example to be consider a construction of mathematical model the rolling delivery device. For a construction that is model used system of the equations, which consist of: Lagrange’s equation of a motion, describing of the law conservation of energy of a mechanical system, and the Navier - Stokes equations, which characterize of the flow of a continuous non-compressed fluid. A construction of mathematical model the rolling deliver to let determined of a total energy of device, and therefore to got the dependence upon the power of drive to a gap between of rolls. A corroborate the hypothesis about laminar the flow of a material into the rolling gap of deliver.
Mathematical modeling of biomass fuels formation process
Gaska, Krzysztof; Wandrasz, Andrzej J.
2008-01-01
The increasing demand for thermal and electric energy in many branches of industry and municipal management accounts for a drastic diminishing of natural resources (fossil fuels). Meanwhile, in numerous technical processes, a huge mass of wastes is produced. A segregated and converted combustible fraction of the wastes, with relatively high calorific value, may be used as a component of formed fuels. The utilization of the formed fuel components from segregated groups of waste in associated processes of co-combustion with conventional fuels causes significant savings resulting from partial replacement of fossil fuels, and reduction of environmental pollution resulting directly from the limitation of waste migration to the environment (soil, atmospheric air, surface and underground water). The realization of technological processes with the utilization of formed fuel in associated thermal systems should be qualified by technical criteria, which means that elementary processes as well as factors of sustainable development, from a global viewpoint, must not be disturbed. The utilization of post-process waste should be preceded by detailed technical, ecological and economic analyses. In order to optimize the mixing process of fuel components, a mathematical model of the forming process was created. The model is defined as a group of data structures which uniquely identify a real process and conversion of this data in algorithms based on a problem of linear programming. The paper also presents the optimization of parameters in the process of forming fuels using a modified simplex algorithm with a polynomial worktime. This model is a datum-point in the numerical modeling of real processes, allowing a precise determination of the optimal elementary composition of formed fuels components, with assumed constraints and decision variables of the task
Adding Structure to the Transition Process to Advanced Mathematical Activity
Engelbrecht, Johann
2010-01-01
The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical…
Sunisa Sumirattana
2017-09-01
This study was based on research and development design. The main purposes of this study were to develop an instructional process for enhancing mathematical literacy among students in secondary school and to study the effects of the developed instructional process on mathematical literacy. The instructional process was developed by analyzing and synthesizing realistic mathematics education and the DAPIC problem-solving process. The developed instructional process was verified by experts and was trialed. The designated pre-test/post-test control method was used to study the effectiveness of the developed instructional process on mathematical literacy. The sample consisted of 104 ninth grade students from a secondary school in Bangkok, Thailand. The developed instructional process consisted of five steps, namely (1 posing real life problems, (2 solving problems individually or in a group, (3 presenting and discussing, (4 developing formal mathematics, and (5 applying knowledge. The mathematical literacy of the experimental group was significantly higher after being taught through the instructional process. The same results were obtained when comparing the results of the experimental group with the control group.
Wolke, Dieter; Strauss, Vicky Yu-Chun; Johnson, Samantha; Gilmore, Camilla; Marlow, Neil; Jaekel, Julia
2015-01-01
Objective To determine whether general cognitive ability, basic mathematic processing, and mathematic attainment are universally affected by gestation at birth, as well as whether mathematic attainment is more strongly associated with cohort-specific factors such as schooling than basic cognitive and mathematical abilities. Study design The Bavarian Longitudinal Study (BLS, 1289 children, 27-41 weeks gestational age [GA]) was used to estimate effects of GA on IQ, basic mathematic processing, and mathematic attainment. These estimations were used to predict IQ, mathematic processing, and mathematic attainment in the EPICure Study (171 children mathematic attainment scores by 2.34 (95% CI: −2.99, −1.70) and 2.76 (95% CI: −3.40, −2.11) points, respectively. There were no differences among children born 34-41 weeks GA. Similarly, for children born mathematic processing scores decreased by 1.77 (95% CI: −2.20, −1.34) points with each lower GA week. The prediction function generated using BLS data accurately predicted the effect of GA on IQ and mathematic processing among EPICure children. However, these children had better attainment than predicted by BLS. Conclusions Prematurity has adverse effects on basic mathematic processing following birth at all gestations mathematic attainment mathematic processing scores from one cohort to another among children cared for in different eras and countries suggests that universal neurodevelopmental factors may explain the effects of gestation at birth. In contrast, mathematic attainment may be improved by schooling. PMID:25842966
Teaching Mathematical Modelling for Earth Sciences via Case Studies
Yang, Xin-She
2010-05-01
Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).
Mathematical modelling a case studies approach
Illner, Reinhard; McCollum, Samantha; Roode, Thea van
2004-01-01
Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem. The presentation is in the form of case studies, which are developed much as they would be in true applications. In many cases, an initial model is created, then modified along the way. Some cases are familiar, such as the evaluation of an annuity. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel. Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive, as with the explorations of the predator-prey model; oth...
Physical and mathematical modelling of extrusion processes
Arentoft, Mogens; Gronostajski, Z.; Niechajowics, A.
2000-01-01
The main objective of the work is to study the extrusion process using physical modelling and to compare the findings of the study with finite element predictions. The possibilities and advantages of the simultaneous application of both of these methods for the analysis of metal forming processes...
Iglesias-Sarmiento, Valentín; Deaño, Manuel; Alfonso, Sonia; Conde, Ángeles
2017-02-01
The purpose of this study was to examine the contribution of cognitive functioning to arithmetic problem solving and to explore the cognitive profiles of children with attention deficit and/or hyperactivity disorder (ADHD) and with mathematical learning disabilities (MLD). The sample was made up of a total of 90 students of 4th, 5th, and 6th grade organized in three: ADHD (n=30), MLD (n=30) and typically achieving control (TA; n=30) group. Assessment was conducted in two sessions in which the PASS processes and arithmetic problem solving were evaluated. The ADHD group's performance in planning and attention was worse than that of the control group. Children with MLD obtained poorer results than the control group in planning and simultaneous and successive processing. Executive processes predicted arithmetic problem solving in the ADHD group whereas simultaneous processing was the unique predictor in the MLD sample. Children with ADHD and with MLD showed characteristic cognitive profiles. Groups' problem-solving performance can be predicted from their cognitive functioning. Copyright © 2016 Elsevier Ltd. All rights reserved.
Arango P, C.
1993-01-01
In this article the results of the investigation on the processes of adsorption, hydrolysis and consumption of COD (chemical oxygen demand) in both aerobic and anaerobic reactors to laboratory scale, their relationship with the conditions of illumination, half of support and concentration of oxygen, and their possible application in aerobic post-treatment of anaerobic leachates are presented. The investigation consists of an experimental assembly and a theoretical development of search of descriptor equations of the global process, and rates of occurrence of the particular processes. The experimental assembly was carried out with four reactors to laboratory scale subjected to different conditions of light, half of support and concentration of oxygen; it had two phases: one of evaluation of the effect of the different conditions in the efficiency of the reactors, and another of evaluation of the kinetic constants in the reactor of better acting and their application in aerobic treatment of anaerobic leachates
Mathematical study of mixing models
Lagoutiere, F.; Despres, B.
1999-01-01
This report presents the construction and the study of a class of models that describe the behavior of compressible and non-reactive Eulerian fluid mixtures. Mixture models can have two different applications. Either they are used to describe physical mixtures, in the case of a true zone of extensive mixing (but then this modelization is incomplete and must be considered only as a point of departure for the elaboration of models of mixtures actually relevant). Either they are used to solve the problem of the numerical mixture. This problem appears during the discretization of an interface which separates fluids having laws of different state: the zone of numerical mixing is the set of meshes which cover the interface. The attention is focused on numerical mixtures, for which the hypothesis of non-miscibility (physics) will bring two equations (the sixth and the eighth of the system). It is important to emphasize that even in the case of the only numerical mixture, the presence in one and same place (same mesh) of several fluids have to be taken into account. This will be formalized by the possibility for mass fractions to take all values between 0 and 1. This is not at odds with the equations that derive from the hypothesis of non-miscibility. One way of looking at things is to consider that there are two scales of observation: the physical scale at which one observes the separation of fluids, and the numerical scale, given by the fineness of the mesh, to which a mixture appears. In this work, mixtures are considered from the mathematical angle (both in the elaboration phase and during their study). In particular, Chapter 5 shows a result of model degeneration for a non-extended mixing zone (case of an interface): this justifies the use of models in the case of numerical mixing. All these models are based on the classical model of non-viscous compressible fluids recalled in Chapter 2. In Chapter 3, the central point of the elaboration of the class of models is
Jennifer M. Suh
2017-06-01
Full Text Available This paper examines the experiences of two elementary teachers’ implementation of mathematical modeling in their classrooms and how the enactment by the teachers and the engagement by students exhibited their creativity, critical thinking, collaboration and communication skills. In particular, we explore the questions: (1 How can phases of mathematical modeling as a process serve as a venue for exhibiting students’ critical 21st century skills? (2 What were some effective pedagogical practices teachers used as they implemented mathematical modeling with elementary students and how did these promote students’ 21st century skills? We propose that mathematical modeling provides space for teachers and students to have a collective experience through the iterative process of making sense of and building knowledge of important mathematical ideas while engaging in the critical 21st century skills necessary in our complex modern world.
Mechanical-mathematical modeling for landslide process
Svalova, V.
2009-04-01
500 m and displacement of a landslide in the plan over 1 m. Last serious activization of a landslide has taken place in 2002 with a motion on 53 cm. Catastrophic activization of the deep blockglide landslide in the area of Khoroshevo in Moscow took place in 2006-2007. A crack of 330 m long appeared in the old sliding circus, along which a new 220 m long creeping block was separated from the plateau and began sinking with a displaced surface of the plateau reaching to 12 m. Such activization of the landslide process was not observed in Moscow since mid XIX century. The sliding area of Khoroshevo was stable during long time without manifestations of activity. Revealing of the reasons of deformation and development of ways of protection from deep landslide motions is extremely actual and difficult problem which decision is necessary for preservation of valuable historical monuments and modern city constructions. The reasons of activization and protective measures are discussed. Structure of monitoring system for urban territories is elaborated. Mechanical-mathematical model of high viscous fluid was used for modeling of matter behavior on landslide slopes. Equation of continuity and an approximated equation of the Navier-Stockes for slow motions in a thin layer were used. The results of modelling give possibility to define the place of highest velocity on landslide surface, which could be the best place for monitoring post position. Model can be used for calibration of monitoring equipment and gives possibility to investigate some fundamental aspects of matter movement on landslide slope.
Mathematical Modelling of Bacterial Populations in Bio-remediation Processes
Vasiliadou, Ioanna A.; Vayenas, Dimitris V.; Chrysikopoulos, Constantinos V.
2011-09-01
An understanding of bacterial behaviour concerns many field applications, such as the enhancement of water, wastewater and subsurface bio-remediation, the prevention of environmental pollution and the protection of human health. Numerous microorganisms have been identified to be able to degrade chemical pollutants, thus, a variety of bacteria are known that can be used in bio-remediation processes. In this study the development of mathematical models capable of describing bacterial behaviour considered in bio-augmentation plans, such as bacterial growth, consumption of nutrients, removal of pollutants, bacterial transport and attachment in porous media, is presented. The mathematical models may be used as a guide in designing and assessing the conditions under which areas contaminated with pollutants can be better remediated.
Mathematical modeling of a convective textile drying process
G. Johann
2014-12-01
Full Text Available This study aims to develop a model that accurately represents the convective drying process of textile materials. The mathematical modeling was developed from energy and mass balances and, for the solution of the mathematical model, the technique of finite differences, in Cartesian coordinates, was used. It transforms the system of partial differential equations into a system of ordinary equations, with the unknowns, the temperature and humidity of both the air and the textile material. The simulation results were compared with experimental data obtained from the literature. In the statistical analysis the Shapiro-Wilk test was used to validate the model and, in all cases simulated, the results were p-values greater than 5 %, indicating normality of the data. The R-squared values were above 0.997 and the ratios Fcalculated/Fsimulated, at the 95 % confidence level, higher than five, indicating that the modeling was predictive in all simulations.
Delice, Ali; Kertil, Mahmut
2015-01-01
This article reports the results of a study that investigated pre-service mathematics teachers' modelling processes in terms of representational fluency in a modelling activity related to a cassette player. A qualitative approach was used in the data collection process. Students' individual and group written responses to the mathematical modelling…
Algorithmic information theory mathematics of digital information processing
Seibt, Peter
2007-01-01
Treats the Mathematics of many important areas in digital information processing. This book covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, Data Reduction. It is useful for teachers, students and practitioners in Electronic Engineering, Computer Science and Mathematics.
Visual Processing in Generally Gifted and Mathematically Excelling Adolescents
Paz-Baruch, Nurit; Leikin, Roza; Leikin, Mark
2016-01-01
Little empirical data are available concerning the cognitive abilities of gifted individuals in general and especially those who excel in mathematics. We examined visual processing abilities distinguishing between general giftedness (G) and excellence in mathematics (EM). The research population consisted of 190 students from four groups of 10th-…
Secondary Mathematics Pre-Service Teachers' Processes of Selection and Integration of Technology
Uzan, Erol
2017-01-01
This study investigated secondary mathematics pre-service teachers' (PSTs) knowledge of resources in terms of digital technologies, and explored the processes of both selection and integration of technology into their lesson plans. This study employed a case study design. Participants were six secondary mathematics PSTs who enrolled in a methods…
Mathematical modelling of the process of quality control of construction products
Pogorelov Vadim
2017-01-01
Full Text Available The study presents the results of years of research in the field of quality management of industrial production construction production, based on mathematical modelling techniques, process and results of implementing the developed programme of monitoring and quality control in the production process of the enterprise. The aim of this work is the presentation of scientific community of the practical results of mathematical modelling in application programs. In the course of the research addressed the description of the applied mathematical models, views, practical results of its application in the applied field to assess quality control. The authors used this mathematical model in practice. The article presents the results of applying this model. The authors developed the experimental software management and quality assessment by using mathematical modeling methods. The authors continue research in this direction to improve the diagnostic systems and quality management systems based on mathematical modeling methods prognostic and diagnostic processes.
Mayr, mathematics and the study of evolution
Crow James F
2009-02-01
Full Text Available Abstract In 1959 Ernst Mayr challenged the relevance of mathematical models to evolutionary studies and was answered by JBS Haldane in a witty and convincing essay. Fifty years on, I conclude that the importance of mathematics has in fact increased and will continue to do so.
Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat
2017-01-01
This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…
The Conceptualization of the Mathematical Modelling Process in Technology-Aided Environment
Hidiroglu, Çaglar Naci; Güzel, Esra Bukova
2017-01-01
The aim of the study is to conceptualize the technology-aided mathematical modelling process in the frame of cognitive modelling perspective. The grounded theory approach was adopted in the study. The research was conducted with seven groups consisting of nineteen prospective mathematics teachers. The data were collected from the video records of…
Buzatu, Traian; Ghica, Gabriel Valeriu; Petrescu, Ionuţ Mircea; Iacob, Gheorghe; Buzatu, Mihai; Niculescu, Florentina
2017-02-01
Increasing global lead consumption has been mainly supported by the acid battery manufacturing industry. As the lead demand will continue to grow, to provide the necessary lead will require an efficient approach to recycling lead acid batteries. In this paper was performed a mathematical modeling of the process parameters for lead recovery from spent lead-acid batteries. The results of the mathematical modeling compare well with the experimental data. The experimental method applied consists in the solubilisation of the sulfate/oxide paste with sodium hydroxide solutions followed by electrolytic processing for lead recovery. The parameters taken into considerations were NaOH molarity (4M, 6M and 8M), solid/liquid ratio - S/L (1/10, 1/30 and 1/50) and temperature (40°C, 60°C and 80°C). The optimal conditions resulted by mathematical modeling of the electrolytic process of lead deposition from alkaline solutions have been established by using a second-order orthogonal program, in order to obtain a maximum efficiency of current without exceeding an imposed energy specific consumption. The optimum value for the leaching recovery efficiency, obtained through mathematical modeling, was 89.647%, with an error of δ y =3.623 which leads to a maximum recovery efficiency of 86.024%. The optimum values for each variable that ensure the lead extraction efficiency equal to 89.647% are the following: 3M - NaOH, 1/35 - S/L, 70°C - temperature. Copyright © 2016 Elsevier Ltd. All rights reserved.
Mathematics education and comparative historical studies
Wagner RODRIGUES VALENTE
2013-11-01
Full Text Available This paper has as its aims: to characterize the area of research «history of mathematics education» and to defend the idea that mathematics education has constituted a privileged research theme within the field of comparative historical studies. To achieve these aims, the text includes references to a review of the literature concerning comparative studies, the analysis of two fundamental moments focused on attempts to internationalize the mathematics curriculum, both of which occurred during the 20th century, and, to end, a case study emanating from an international cooperation between researchers in Brazil and Portugal.
Mathematical principles of signal processing Fourier and wavelet analysis
Brémaud, Pierre
2002-01-01
Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicates that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing - sampling, filtering, digital signal proc...
MATHEMATICAL SIMULATION OF CONCURRENT TWO-SIDED LENS PROCESSING
A. S. Kozeruk
2015-01-01
Full Text Available The purpose of the paper is to modernize technology for obtaining high-accuracy lenses with fine centre. Presently their operating surfaces are fixed to an accessory with the help of adhesive substance that leads to elastic deformation in glass and causes local errors in lens parts.A mathematical model for concurrent two-sided processing of high-accuracy optical parts with spherical surfaces has been developed in the paper. The paper presents analytical expressions that permit to calculate sliding speed at any point on the processed spherical surface depending on type and value of technological equipment settings. Calculation of parameter Q = Pv in a diametric section of the convexo-concave lens has been carried out while using these expressions together with functional dependence of pressure on contact zone еarea of tool and part bedding surfaces.Theoretical and experimental investigations have been carried out with the purpose to study changes in Q parameter according to the processed lens surface for various setting parameters of the technological equipment and their optimum values ensuring preferential stock removal in the central or boundary part zone or uniform distribution of the removal along the whole processed surface have been determined in the paper.The paper proposes a machine tool scheme for concurrent two-sided grinding and polishing of lenses while fixing their side (cylindrical surface. Machine tool kinematics makes it possible flexibly and within wide limits to change its setting parameters that significantly facilitates the control of form-building process of parts with highly-precise spherical surfaces.Methodology for investigations presupposes the following: mathematical simulation of highly-precise spherical surface form-building process under conditions of forced closing, execution of numerical and experimental studies.
Satsope Maoto
2018-03-01
Full Text Available This article focuses mainly on two key mathematical processes (representation, and reasoning and proof. Firstly, we observed how teachers learn these processes and subsequently identify what and how to assess learners on the same processes. Secondly, we reviewed one teacher’s attempt to facilitate the learning of the processes in his classroom. Two interrelated questions were pursued: ‘what are the teachers’ challenges in learning mathematical processes?’ and ‘in what ways are teachers’ approaches to learning mathematical processes influencing how they assess their learners on the same processes?’ A case study was undertaken involving 10 high school mathematics teachers who enrolled for an assessment module towards a Bachelor in Education Honours degree in mathematics education. We present an interpretive analysis of two sets of data. The first set consisted of the teachers’ written responses to a pattern searching activity. The second set consisted of a mathematical discourse on matchstick patterns in a Grade 9 class. The overall finding was that teachers rush through forms of representation and focus more on manipulation of numerical representations with a view to deriving symbolic representation. Subsequently, this unidirectional approach limits the scope of assessment of mathematical processes. Interventions with regard to the enhancement of these complex processes should involve teachers’ actual engagements in and reflections on similar learning.
On the study and difficulties of mathematics
De Morgan, Augustus
2005-01-01
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks.Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the
Violeta ePina
2015-03-01
Full Text Available Previous studies have suggested that numerical processing relates to mathematical performance, but it seems that such relationship is more evident for intentional than for automatic numerical processing. In the present study we assessed the relationship between the two types of numerical processing and specific mathematical abilities in a sample of 109 children in grades 1 to 6. Participants were tested in an ample range of mathematical tests and also performed both a numerical and a size comparison task. The results showed that numerical processing related to mathematical performance only when inhibitory control was involved in the comparison tasks. Concretely, we found that intentional numerical processing, as indexed by the numerical distance effect in the numerical comparison task, was related to mathematical reasoning skills only when the task-irrelevant dimension (the physical size was incongruent; whereas automatic numerical processing, indexed by the congruency effect in the size comparison task, was related to mathematical calculation skills only when digits were separated by small distance. The observed double dissociation highlights the relevance of both intentional and automatic numerical processing in mathematical skills, but when inhibitory control is also involved.
Processes of Learning with Regard to Students’ Learning Difficulties in Mathematics
Amalija Zakelj
2014-06-01
Full Text Available In the introduction, we write about the process of learning mathematics: the development of mathematical concepts, numerical and spatial imagery on reading and understanding of texts, etc. The central part of the paper is devoted to the study, in which we find that identifying the learning processes associated with learning difficulties of students in mathematics, is not statistically significantly different between primary school teachers and teachers of mathematics. Both groups expose the development of numerical concepts, logical reasoning, and reading and understanding the text as the ones with which difficulties in learning mathematics appear the most frequently. All the processes of learning that the teachers assessed as the ones that represent the greatest barriers to learning have a fairly uniform average estimates of the degree of complexity, ranging from 2.6 to 2.8, which is very close to the estimate makes learning very difficult.
Mathematical methods in time series analysis and digital image processing
Kurths, J; Maass, P; Timmer, J
2008-01-01
The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. In particular, mathematically justified algorithms and methods, the mathematical analysis of these algorithms, and methods as well as the investigation of connections between methods from time series analysis and image processing are reviewed. An interdisciplinary comparison of these methods, drawing upon common sets of test problems from medicine and geophysical/enviromental sciences, is also addressed. This volume coherently summarizes work carried out in the field of theoretical signal and image processing. It focuses on non-linear and non-parametric models for time series as well as on adaptive methods in image processing.
Yang, Kai-Lin
2014-01-01
This study used phenomenography, a qualitative method, to investigate Taiwanese mathematics teachers' conceptions of school mathematics, school statistics, and their differences. To collect data, we interviewed five mathematics teachers by open questions. They also responded to statements drawn on mathematical/statistical conceptions and…
African Journal of Educational Studies in Mathematics and Sciences
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.
Students Thinking Process in Compiling Mathematical Proof with Semantics Strategy
Abdussakir Abdussakir
2015-03-01
Full Text Available Proses Berpikir Mahasiswa dalam Menyusun Bukti Matematis dengan Strategi Semantik Abstract: This study is aimed to reveal the thinking process in proof construction performed by students with semantic strategy. This study use descriptive-qualitative approach. The thinking process of students will be analyzed using theoretical framework of David Tall about the three worlds of mathematical thinking. The result are three ways of thinking in semantic strategy, namely (1 started from formal world then move into the symbolic or embodied-symbolic world with possibility of more than once and ends within or outside of the formal world, (2 started from symbolic world or embodied-symbolic world then move to the formal world with possibility of more than once and ends within or outside of the formal world, and (3 all thinking processes performed outside of formal world that does not obtain formal proof. Key Words: thinking process, mathematical proof, semantic strategy Abstrak: Penelitian ini bertujuan untuk menjelaskan proses berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik. Penelitian ini menggunakan pendekatan deskiptif-kualitatif. Analisis data dilakukan dengan menggunakan kerangka kerja David Tall tentang tiga dunia berpikir matematik. Hasil penelitian menunjukkan bahwa terdapat enam kemungkinan jalur dalam strategi semantik ditinjau dari teori tiga dunia berpikir matematis. Hasil penelitian menunjukkan ada tiga jalur berpikir mahasiswa dalam menyusun bukti matematis dengan strategi semantik, yaitu (1 bermula dari dunia berpikir formal berpindah ke dunia berpikir wujud-simbolik atau dunia berpikir simbolik dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di dalam atau di luar dunia berpikir formal, (2 bermula dari dunia berpikir wujud simbolik atau dunia berpikir simbolik (non RSP lalu pindah ke dunia berpikir formal dengan proses perpindahan dimungkinkan lebih dari satu kali dan berakhir di
Mathematical modeling of the voloxidation process. Final report
Stanford, T.G.
1979-06-01
A mathematical model of the voloxidation process, a head-end reprocessing step for the removal of volatile fission products from spent nuclear fuel, has been developed. Three types of voloxidizer operation have been considered; co-current operation in which the gas and solid streams flow in the same direction, countercurrent operation in which the gas and solid streams flow in opposite directions, and semi-batch operation in which the gas stream passes through the reactor while the solids remain in it and are processed batch wise. Because of the complexity of the physical ahd chemical processes which occur during the voloxidation process and the lack of currently available kinetic data, a global kinetic model has been adapted for this study. Test cases for each mode of operation have been simulated using representative values of the model parameters. To process 714 kgm/day of spent nuclear fuel, using an oxidizing atmosphere containing 20 mole percent oxygen, it was found that a reactor 0.7 m in diameter and 2.49 m in length would be required for both cocurrent and countercurrent modes of operation while for semibatch operation a 0.3 m 3 reactor and an 88200 sec batch processing time would be required
Mathematical Modelling of Continuous Biotechnological Processes
Pencheva, T.; Hristozov, I.; Shannon, A. G.
2003-01-01
Biotechnological processes (BTP) are characterized by a complicated structure of organization and interdependent characteristics. Partial differential equations or systems of partial differential equations are used for their behavioural description as objects with distributed parameters. Modelling of substrate without regard to dispersion…
Outlooks for mathematical modelling of the glass melting process
Waal, H. de [TNO Institute of Applied Physics, Delft (Netherlands)
1997-12-31
Mathematical modelling is nowadays a standard tool for major producers of float glass, T.V. glass and fiberglass. Also for container glass furnaces, glass tank modelling proves to be a valuable method to optimize process conditions. Mathematical modelling is no longer just a way to visualize the flow patterns and to provide data on heat transfer. It can also predict glass quality in relation to process parameters, because all chemical and physical phenomena are included in the latest generation of models, based on experimental and theoretical research on these phenomena.
Methodology and Results of Mathematical Modelling of Complex Technological Processes
Mokrova, Nataliya V.
2018-03-01
The methodology of system analysis allows us to draw a mathematical model of the complex technological process. The mathematical description of the plasma-chemical process was proposed. The importance the quenching rate and initial temperature decrease time was confirmed for producing the maximum amount of the target product. The results of numerical integration of the system of differential equations can be used to describe reagent concentrations, plasma jet rate and temperature in order to achieve optimal mode of hardening. Such models are applicable both for solving control problems and predicting future states of sophisticated technological systems.
Mathematical model of seed germination process
Gładyszewska, B.; Koper, R.; Kornarzyński, K.
1999-01-01
An analytical model of seed germination process was described. The model based on proposed working hypothesis leads - by analogy - to a law corresponding with Verhulst-Pearl's law, known from the theory of population kinetics. The model was applied to describe the germination kinetics of tomato seeds, Promyk field cultivar, biostimulated by laser treatment. Close agreement of experimental and model data was obtained [pl
Enhancing mathematics teachers' quality through Lesson Study.
Lomibao, Laila S
2016-01-01
The efficiency and effectivity of the learning experience is dependent on the teacher quality, thus, enhancing teacher's quality is vital in improving the students learning outcome. Since, the usual top-down one-shot cascading model practice for teachers' professional development in Philippines has been observed to have much information dilution, and the Southeast Asian Ministers of Education Organization demanded the need to develop mathematics teachers' quality standards through the Southeast Asia Regional Standards for Mathematics Teachers (SEARS-MT), thus, an intensive, ongoing professional development model should be provided to teachers. This study was undertaken to determine the impact of Lesson Study on Bulua National High School mathematics teachers' quality level in terms of SEARS-MT dimensions. A mixed method of quantitative-qualitative research design was employed. Results of the analysis revealed that Lesson Study effectively enhanced mathematics teachers' quality and promoted teachers professional development. Teachers positively perceived Lesson Study to be beneficial for them to become a better mathematics teacher.
Didactic strategies through authentic performances in the Mathematics teaching process
Enrique Diaz Chong
2016-09-01
Full Text Available The main objective of this article is gather a set of Mathematic didactic strategies by improving the academic performance and acquiring skills and abilities through authentic performances during the teaching process. The investigation is going to realize with students of the ﬁrst semester E and with a teacher of Commercial Studies career, applying the “learn to learn” method described in the fundaments since the application of the teaching strategy until the evaluation. Through this method, they acquire basic competence of the mentioned subject and the knowledge in order to use them as future professionals in any life circumstance. It will verify the obtained results by having a better motivation of the students and the discipline comprehension. It is important to highlight that those strategies could be applied in any other subject.
Relationship of Study Habits with Mathematics Achievement
Odiri, Onoshakpokaiye E.
2015-01-01
The study examined the relationship of study habits of students and their achievement in mathematics. The method used for the study was correlation design. A sample of 500 students were randomly selected from 25 public secondary schools in Delta Central Senatorial District, Delta State, Nigeria. Questionnaires were drawn to gather data on…
Study guide for applied finite mathematics
Macri, Nicholas A
1982-01-01
Study Guide for Applied Finite Mathematics, Third Edition is a study guide that introduces beginners to the fundamentals of finite mathematics and its various realistic and relevant applications. Some applications of probability, game theory, and Markov chains are given. Each chapter includes exercises, and each set begins with basic computational ""drill"" problems and then progresses to problems with more substance.Comprised of 10 chapters, this book begins with exercises related to set theory and concepts such as the union and intersection of sets. Exercises on Cartesian coordinate
Mathematical modelling of the laser processing of compose materials
Gromyko, G.F.; Matsuka, N.P.
2009-01-01
Expansion of the protective coating scope led to the necessity to work out lower priced methods of treatment of machine elements. Making of an adequate, agreed with process features, mathematical model and development of effective methods of its solving are promising directions in this fields. In this paper the mathematical model of high-temperature laser treatment via moving source of pre-sprayed with composite powder padding is developed. Presented model describes accurately enough the heat processes taking place by laser processing of machine elements. Varying input parameters of model (laser power, temperature and composition of environment, characteristics and quantitative composition of using materials, etc.) one can get a cheap tool of preliminary estimates for wide range of similar problems. Difference method, based on process physical features and taking into account main process-dependent parameters had been developed for solving of the built system of nonlinear equations. (authors)
The Development from Effortful to Automatic Processing in Mathematical Cognition.
Kaye, Daniel B.; And Others
This investigation capitalizes upon the information processing models that depend upon measurement of latency of response to a mathematical problem and the decomposition of reaction time (RT). Simple two term addition problems were presented with possible solutions for true-false verification, and accuracy and RT to response were recorded. Total…
Mathematic filters and digital processing in nuclear medicine
Dimentein, R.
1992-01-01
The mathematic filters used in nuclear medicine were evaluated. Tomographic processing of a Jaszczak phantom, using separately Hanning, Butterworth and Wiener filters were presented. For each type of filter were made simulation, where the cut frequency and extenuation grade values were changed. (C.G.C.)
Mathematical Processes: A Viewpoint-oriented Manipulation Perspective
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...
The mathematical theory of signal processing and compression-designs
Feria, Erlan H.
2006-05-01
The mathematical theory of signal processing, named processor coding, will be shown to inherently arise as the computational time dual of Shannon's mathematical theory of communication which is also known as source coding. Source coding is concerned with signal source memory space compression while processor coding deals with signal processor computational time compression. Their combination is named compression-designs and referred as Conde in short. A compelling and pedagogically appealing diagram will be discussed highlighting Conde's remarkable successful application to real-world knowledge-aided (KA) airborne moving target indicator (AMTI) radar.
Yeh, Cathery
2016-01-01
Elementary school mathematics has gained increased attention in the last few decades. A growing field of research has studied the programmatic design and development of elementary mathematics teaching in teacher education, however, few studies have examined longitudinally the mathematics teaching of novice elementary teachers. Existing longitudinal studies on elementary mathematics teaching have generally focused on the effects of teacher preparation on their beginning practices and have exam...
Use of mathematical modelling in electron beam processing: A guidebook
2010-01-01
The use of electron beam irradiation for industrial applications, like the sterilization of medical devices or cross-linking of polymers, has a long and successful track record and has proven itself to be a key technology. Emerging fields, including environmental applications of ionizing radiation, the sterilization of complex medical and pharmaceutical products or advanced material treatment, require the design and control of even more complex irradiators and irradiation processes. Mathematical models can aid the design process, for example by calculating absorbed dose distributions in a product, long before any prototype is built. They support process qualification through impact assessment of process variable uncertainties, and can be an indispensable teaching tool for technologists in training in the use of radiation processing. The IAEA, through various mechanisms, including its technical cooperation programme, coordinated research projects, technical meetings, guidelines and training materials, is promoting the use of radiation technologies to minimize the effects of harmful contaminants and develop value added products originating from low cost natural and human made raw materials. The need to publish a guidebook on the use of mathematical modelling for design processes in the electron beam treatment of materials was identified through the increased interest of radiation processing laboratories in Member States and as a result of recommendations from several IAEA expert meetings. In response, the IAEA has prepared this report using the services of an expert in the field. This publication should serve as both a guidebook and introductory tutorial for the use of mathematical modelling (using mostly Monte Carlo methods) in electron beam processing. The emphasis of this guide is on industrial irradiation methodologies with a strong reference to existing literature and applicable standards. Its target audience is readers who have a basic understanding of electron
Mathematical modelling and numerical simulation of forces in milling process
Turai, Bhanu Murthy; Satish, Cherukuvada; Prakash Marimuthu, K.
2018-04-01
Machining of the material by milling induces forces, which act on the work piece material, tool and which in turn act on the machining tool. The forces involved in milling process can be quantified, mathematical models help to predict these forces. A lot of research has been carried out in this area in the past few decades. The current research aims at developing a mathematical model to predict forces at different levels which arise machining of Aluminium6061 alloy. Finite element analysis was used to develop a FE model to predict the cutting forces. Simulation was done for varying cutting conditions. Different experiments was designed using Taguchi method. A L9 orthogonal array was designed and the output was measure for the different experiments. The same was used to develop the mathematical model.
Examining the Mathematical Modeling Processes of Primary School 4th-Grade Students: Shopping Problem
Ulu, Mustafa
2017-01-01
The purpose of this study is to identify primary school students' thinking processes within the mathematical modeling process and the challenges they encounter, if any. This is a basic qualitative research study conducted in a primary school in the city of Kütahya in the academic year of 2015-2016. The study group of the research was composed of…
Mathematical study of a lysimeter
Gibson, D.K.
1987-11-01
In studies of the rehabilitation of mine overburden heaps at Rum Jungle in the Northern Territory of Australia, simple buried water collectors have been used as lysimeters to measure the infiltration into the heaps. This report describes the development and results of a study state finite difference computer code which calculates the movement of water in such systems. It is shown that the water collection efficiency of this type of lysimeter depends strongly on the hydraulic properties of the soil in which it is buried, as does the rate of capillary loss during periods of zero infiltration
IMPROVEMENT OF SLAB REHEATING PROCESS AT USIMINAS THROUGH MATHEMATICAL SIMULATION
Antônio Adel dos Santos
2012-09-01
Full Text Available Basic characteristics and application examples of the mathematical simulator for reheating process in walking-beam type furnaces, that has been developed and applied to Usiminas plate mill line at Ipatinga, are shown in this paper. This is a bi-dimensional mathematical model solved by the finite volume method, validated by temperature measurements inside the slab during heating and coded as a visual tool. Among these applications, the following can be highlighted: (i determination of suitable furnace zone temperatures and residence times for processing steels by accelerated cooling technology; (ii determination of slab average temperature at discharging as well as at each zone exit, supplying data to be fed to the automation system at the comissioning stage; (iii analyses of slab thermal distribution through the reheating process, enabling operational optimization
Cannon, Tenille
2016-01-01
Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…
Harwell, Michael; Moreno, Mario; Post, Thomas
2016-01-01
This study examined the relationship between the American College Testing (ACT) college mathematics readiness standard and college mathematics achievement using a sample of students who met or exceeded the minimum 3 years high school mathematics coursework recommended by ACT. According to ACT, a student who scores 22 or higher on the ACT…
Hidiroglu, Çaglar Naci; Bukova Güzel, Esra
2013-01-01
The aim of the present study is to conceptualize the approaches displayed for validation of model and thought processes provided in mathematical modeling process performed in technology-aided learning environment. The participants of this grounded theory study were nineteen secondary school mathematics student teachers. The data gathered from the…
ÖÇAL, Mehmet Fatih; ŞİMŞEK, Mertkan
2016-01-01
Problem solving skill is the core of mathematics education and its importance cannot be denied. This study specifically examined 56 freshmen pre-service mathematics teachers’ problem solving processes on a specific problem with the help of Geometer’s Sketchpad (GSP). They were grouped into two-person teams to solve a problem called "the mirror problem". They were expected to solve it by means of GSP. According to their works on GSP and related reflections, there appeared two differe...
Unfolding the assessment process in a whole class mathematics setting
Radišić Jelena
2014-01-01
Full Text Available Assessment activities in the class are an important aspect of classroom practice, while there is much debate with respect to the formative vs. summative assessment routines and the outcomes that each of them provides for students' learning. As classroom assessment does not occur in seclusion of other aspects of classroom life, the process is seen as rather complex. In this study we wished to explore how assessment serves the function of supporting students' learning and whether this evidence is used to adapt teacher's practices in meeting different learning needs in the mathematics classroom. The authors observed assessment practices of an experienced math teacher in a grammar school in Belgrade. Teacher's assessment practices were observed during a three week period. The analysis has shown the teacher to hold a somewhat complex perception of assessment, yet the perception is largely detached from teaching, which is in line with the previously reported results. However, the elements of formative assessment do emerge, thus contributing to the assessment being in service of learning. In spite of this, a narrow set of practices are visible when observing how the teacher keeps track of students' progress. A mismatch is visible between students' and teacher's perceptions of the assessment as a whole and some of the practices exercised in the process. The teacher struggled to verbalize some aspects of own assessment practices, especially those related to more formative aspects.
Heuristic and algorithmic processing in English, mathematics, and science education.
Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane
2008-01-01
Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.
Mathematical Modeling of Acclimation Processes of the Photosynthetic Chain
S Heidari
2016-10-01
Full Text Available Introduction Photosynthetic energy conversion efficiency is characteristic of a system which is determined by interactions between various components of the system. The complex process of photosynthesis has been studied as a whole system which enables in silico examination of a large number of candidate genes for genetic engineering for a higher photosynthetic energy conversion efficiency. One of the most important environmental factors which influence the photosynthesis efficiency is light regime which can cause producing ROS components. To acclimate to such fluctuations, plants have evolved adaptive mechanisms to minimize damage of the photosynthetic apparatus excess light. A fast compatibility response to high light stresses is non-photochemical quenching process (NPQ, dissipating excessive energy to heat. Light harvested state switches into a quenched state by a conformational change of light harvesting complex (LHCII that regulated by xanthophylls and the PsbS protein within seconds. Low lumen pH activates xanthophyll synthesis via a xanthophyll cycle which consists of the de-epoxidation of violaxanthin to zeaxanthin by violaxanthin de-epoxidase in high light and inversely by zeaxanthin epoxidase in low light which occurs more slowly. Materials and Methods Thale cress (Arabidopsis thaliana (Chlombia-0 were grown on soil at 25/22 °C day/night temperature, with a 16/8 h photoperiod, and 40-70% (depend of plant species relative humidity. The light intensity was 150–200 µE m-2s-1 white light. Intensity of chlorophyll fluorescence was measured with PAM-2000 fluorometer (Heinz Walz, Germany and the manufacturer’s software (PamWin v.2. Results and Discussion In the present study, a dynamic kinetics amplified mathematical model was developed based on differential equations in order to predict short-term changes in NPQ in the process of adaptation to different light conditions. We investigated the stationary and dynamic behavior of the model
Mathematical modeling and hydrodynamics of Electrochemical deburring process
Prabhu, Satisha; Abhishek Kumar, K., Dr
2018-04-01
The electrochemical deburring (ECD) is a variation of electrochemical machining is considered as one of the efficient methods for deburring of intersecting features and internal parts. Since manual deburring costs are comparatively high one can potentially use this method in both batch production and flow production. The other advantage of this process is that time of deburring as is on the order of seconds as compared to other methods. In this paper, the mathematical modeling of Electrochemical deburring is analysed from its deburring time and base metal removal point of view. Simultaneously material removal rate is affected by electrolyte temperature and bubble formation. The mathematical model and hydrodynamics of the process throw limelight upon optimum velocity calculations which can be theoretically determined. The analysis can be the powerful tool for prediction of the above-mentioned parameters by experimentation.
Experimentally supported mathematical modeling of continuous baking processes
Stenby Andresen, Mette
and temperature) and control the process (air flow, temperature, and humidity) are therefore emphasized. The oven is furthermore designed to work outside the range of standard tunnel ovens, making it interesting for manufacturers of both baking products and baking equipment. A mathematical model describing......The scope of the PhD project was to increase knowledge on the process-to-product interactions in continuous tunnel ovens. The work has focused on five main objectives. These objectives cover development of new experimental equipment for pilot plant baking experiments, mathematical modeling of heat...... and mass transfer in a butter cookie product, and evaluation of quality assessment methods. The pilot plant oven is a special batch oven designed to emulate continuous convection tunnel oven baking. The design, construction, and validation of the oven has been part of the project and is described...
Developmental Relations among Motor and Cognitive Processes and Mathematics Skills
Kim, Helyn; Duran, Chelsea A. K.; Cameron, Claire E.; Grissmer, David
2018-01-01
This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years.…
Mathematical modeling and signal processing in speech and hearing sciences
Xin, Jack
2014-01-01
The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter.
African Journal of Educational Studies in Mathematics and Sciences ...
African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Journal Home > African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Log in or Register to get access to full text downloads.
Mathematical modeling of olive mill waste composting process.
Vasiliadou, Ioanna A; Muktadirul Bari Chowdhury, Abu Khayer Md; Akratos, Christos S; Tekerlekopoulou, Athanasia G; Pavlou, Stavros; Vayenas, Dimitrios V
2015-09-01
The present study aimed at developing an integrated mathematical model for the composting process of olive mill waste. The multi-component model was developed to simulate the composting of three-phase olive mill solid waste with olive leaves and different materials as bulking agents. The modeling system included heat transfer, organic substrate degradation, oxygen consumption, carbon dioxide production, water content change, and biological processes. First-order kinetics were used to describe the hydrolysis of insoluble organic matter, followed by formation of biomass. Microbial biomass growth was modeled with a double-substrate limitation by hydrolyzed available organic substrate and oxygen using Monod kinetics. The inhibitory factors of temperature and moisture content were included in the system. The production and consumption of nitrogen and phosphorous were also included in the model. In order to evaluate the kinetic parameters, and to validate the model, six pilot-scale composting experiments in controlled laboratory conditions were used. Low values of hydrolysis rates were observed (0.002841/d) coinciding with the high cellulose and lignin content of the composting materials used. Model simulations were in good agreement with the experimental results. Sensitivity analysis was performed and the modeling efficiency was determined to further evaluate the model predictions. Results revealed that oxygen simulations were more sensitive on the input parameters of the model compared to those of water, temperature and insoluble organic matter. Finally, the Nash and Sutcliff index (E), showed that the experimental data of insoluble organic matter (E>0.909) and temperature (E>0.678) were better simulated than those of water. Copyright © 2015 Elsevier Ltd. All rights reserved.
Harwell, Michael; Dupuis, Danielle; Post, Thomas R.; Medhanie, Amanuel; LeBeau, Brandon
2014-01-01
The relationship between high school mathematics curricula and the likelihood of students who enroll in a developmental (non-credit bearing) course in college taking additional mathematics courses was studied. The results showed that high school mathematics curriculum, years of high school mathematics completed, and ACT mathematics scores were…
African Journal of Educational Studies in Mathematics and Sciences ...
African Journal of Educational Studies in Mathematics and Sciences. ... on senior high school students' proficiency in solving linear equation word problems ... from parents and teachers' influence on students' mathematics-related self-beliefs ...
MATHEMATICAL MODEL OF CATALYTIC PROCESSES AT MODIFIED ELECTRODES
Femila Mercy Rani Joseph
Full Text Available A mathematical modeling of electrocatalytic processes taking place at modified electrodes is discussed. In this paper we obtained the approximate analytical solutions for the nonlinear equations under non steady state conditions using homotopy perturbation method. Simple and approximate polynomial expressions for the concentration of reactant, product and charge carrier were obtained in terms of diffusion coefficient and rate constant. In this work the numerical simulation of the problem is reported using Scilab program. In this manuscript analytical results are compared with simulation results and satisfactory agreement is noted.
The Mathematical Model High Energy Collisions Process Hadron-Nucleus
Wojciechowski, A.; Strugalska-Gola, E.; Strugalski, Z.
2002-01-01
During the passage high energy hadron by the heavy nucleus emitted are nucleons and many other particles from which most more group are nucleons and mesons π + π - π 0 . in this work we will present the mathematical model which is a simplified description of basic processes in the interior of the nucleus during passing of the hadron by the nucleus. Result of calculations we will compare with experimental results. Experimental data are based on photographs of 180 litre xenon bubble chambers (180 1 KKP) of Institute of Theoretical and Experimental Physics in Moscow (ITEF, Moscow) irradiated with the beam of mesons π - with momentum 3.5 GeV/c. (author)
Establishing a mathematical Lesson Study culture in Danish teacher education
Skott, Charlotte Krog; Østergaard, Camilla Hellsten
Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...
Mathematical modeling of phase interaction taking place in materials processing
Zinigrad, M.
2002-01-01
The quality of metallic products depends on their composition and structure. The composition and the structure are determined by various physico-chemical and technological factors. One of the most important and complicated problems in the modern industry is to obtain materials with required composition, structure and properties. For example, deep refining is a difficult task by itself, but the problem of obtaining the material with the required specific level of refining is much more complicated. It will take a lot of time and will require a lot of expanses to solve this problem empirically and the result will be far from the optimal solution. The most effective way to solve such problems is to carry out research in two parallel direction. Comprehensive analysis of thermodynamics, kinetics and mechanisms of the processes taking place at solid-liquid-gaseous phase interface and building of the clear well-based physico-chemical model of the above processes taking into account their interaction. Development of mathematical models of the specific technologies which would allow to optimize technological processes and to ensure obtaining of the required properties of the products by choosing the optimal composition of the raw materials. We apply the above unique methods. We developed unique methods of mathematical modeling of phase interaction at high temperatures. These methods allows us to build models taking into account: thermodynamic characteristics of the processes, influence of the initial composition and temperature on the equilibrium state of the reactions, kinetics of homogeneous and heterogeneous processes, influence of the temperature, composition, speed of the gas flows, hydrodynamic and thermal factors on the velocity of the chemical and diffusion processes. The models can be implemented in optimization of various metallurgical processes in manufacturing of steels and non-ferrous alloys as well as in materials refining, alloying with special additives
Mathematical identification of homogenisation processes in argon stirred ladle
K. Michalek
2009-10-01
Full Text Available Mathematical models processed results of experimental investigation obtained during ladle gas argon bubbling realized by stir elements situated in the ladle bottom. Exact theoretical description of processes occurring at argon bubbling into steel would be very complex and it would lead to a system of non-linear partial differential equations describing transfer of momentum, heat, components, and with excitation function in the form of equation of so called deterministic chaos (argon bubbling. On the basis of pouring ladle model diagram and concentrations courses, the simplified linear physically adequate model was proposed, which described behavior of steel concentration in pouring ladle during its bubbling. The analysed process was understood in the form of a cybernetic model.
Mathematical Formulation Requirements and Specifications for the Process Models
Steefel, C.; Moulton, D.; Pau, G.; Lipnikov, K.; Meza, J.; Lichtner, P.; Wolery, T.; Bacon, D.; Spycher, N.; Bell, J.; Moridis, G.; Yabusaki, S.; Sonnenthal, E.; Zyvoloski, G.; Andre, B.; Zheng, L.; Davis, J.
2010-01-01
The Advanced Simulation Capability for Environmental Management (ASCEM) is intended to be a state-of-the-art scientific tool and approach for understanding and predicting contaminant fate and transport in natural and engineered systems. The ASCEM program is aimed at addressing critical EM program needs to better understand and quantify flow and contaminant transport behavior in complex geological systems. It will also address the long-term performance of engineered components including cementitious materials in nuclear waste disposal facilities, in order to reduce uncertainties and risks associated with DOE EM's environmental cleanup and closure activities. Building upon national capabilities developed from decades of Research and Development in subsurface geosciences, computational and computer science, modeling and applied mathematics, and environmental remediation, the ASCEM initiative will develop an integrated, open-source, high-performance computer modeling system for multiphase, multicomponent, multiscale subsurface flow and contaminant transport. This integrated modeling system will incorporate capabilities for predicting releases from various waste forms, identifying exposure pathways and performing dose calculations, and conducting systematic uncertainty quantification. The ASCEM approach will be demonstrated on selected sites, and then applied to support the next generation of performance assessments of nuclear waste disposal and facility decommissioning across the EM complex. The Multi-Process High Performance Computing (HPC) Simulator is one of three thrust areas in ASCEM. The other two are the Platform and Integrated Toolsets (dubbed the Platform) and Site Applications. The primary objective of the HPC Simulator is to provide a flexible and extensible computational engine to simulate the coupled processes and flow scenarios described by the conceptual models developed using the ASCEM Platform. The graded and iterative approach to assessments naturally
Mathematical Model of Ion Transport in Electrodialysis Process
F.S. Rohman
2010-10-01
Full Text Available Mathematical models of ion transport in electrodialysis process is reviewed and their basics concept is discussed. Three scales of ion transport reviewed are: 1 ion transport in the membrane, where two approaches are used, the irreversible thermodynamics and modeling of the membrane material; 2 ion transport in a three-layer system composed of a membrane with two adjoining diffusion layers; and 3 coupling with hydraulic flow system in an electrodialysis 2D and 3D cell, where the differential equation of convectivediffusion is used. Most of the work carried out in the past implemented NP equations since relatively easily coupled with other equations describing hydrodynamic conditions and ion transport in the surrounding solutions, chemical reactions in the solutions and the membrane, boundary and other conditions. However, it is limited to point ionic transport in homogenous and uniformly - grainy phases of structure. © 2008 BCREC UNDIP. All rights reserved.[Received: 21 January 2008, Accepted: 10 March 2008][How to Cite: F.S. Rohman, N. Aziz (2008. Mathematical Model of Ion Transport in Electrodialysis Process. Bulletin of Chemical Reaction Engineering and Catalysis, 3(1-3: 3-8. doi:10.9767/bcrec.3.1-3.7122.3-8][How to Link/DOI: http://dx.doi.org/10.9767/bcrec.3.1-3.7122.3-8 || or local: http://ejournal.undip.ac.id/index.php/bcrec/article/view/7122 ]
Mathematics Anxiety in Young Children: An Exploratory Study
Harari, Rachel R.; Vukovic, Rose K.; Bailey, Sean P.
2013-01-01
This study explored the nature of mathematics anxiety in a sample of 106 ethnically and linguistically diverse first-grade students. Although much is known about mathematics anxiety in older children and adults, little is known about when mathematics anxiety first emerges or its characteristics in young children. Results from exploratory factor…
Baltaci, Serdal
2016-01-01
It is a widely known fact that gifted students have different skills compared to their peers. However, to what extent gifted students use mathematical thinking skills during probability problem solving process emerges as a significant question. Thence, the main aim of the present study is to examine 8th grade gifted students' probability…
L. Shishko
2012-03-01
Full Text Available Annotation In this article is described the information an experience of introduction in educational process of pedagogical program systems of support of practical activities for example pedagogical software "Algebra, 8 class" and also aspect of formation of mathematical activity during algebra studying.
Nakamura, Yasuyuki; Nishi, Shinnosuke; Muramatsu, Yuta; Yasutake, Koichi; Yamakawa, Osamu; Tagawa, Takahiro
2014-01-01
In this paper, we introduce a mathematical model for collaborative learning and the answering process for multiple-choice questions. The collaborative learning model is inspired by the Ising spin model and the model for answering multiple-choice questions is based on their difficulty level. An intensive simulation study predicts the possibility of…
Classroom-Based Integration of Text-Messaging in Mathematics Teaching-Learning Process
Aunzo, Rodulfo T., Jr.
2017-01-01
A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…
The Development and Validation of Scores on the Mathematics Information Processing Scale (MIPS).
Bessant, Kenneth C.
1997-01-01
This study reports on the development and psychometric properties of a new 87-item Mathematics Information Processing Scale that explores learning strategies, metacognitive problem-solving skills, and attentional deployment. Results with 340 college students support the use of the instrument, for which factor analysis identified five theoretically…
A Study of Visualization for Mathematics Education
Daugherty, Sarah C.
2008-01-01
Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.
Mathematical modeling of compression processes in air-driven boosters
Li Zeyu; Zhao Yuanyang; Li Liansheng; Shu Pengcheng
2007-01-01
The compressed air in normal pressure is used as the source of power of the air-driven booster. The continuous working of air-driven boosters relies on the difference of surface area between driven piston and driving piston, i.e., the different forces acting on the pistons. When the working surface area of the driving piston for providing power is greater than that of the driven piston for compressing gas, the gas in compression chamber will be compressed. On the basis of the first law of thermodynamics, the motion regulation of piston is analyzed and the mathematical model of compression processes is set up. Giving a calculating example, the vary trends of gas pressure and pistons' move in working process of booster have been gotten. The change of parameters at different working conditions is also calculated and compared. And the corresponding results can be referred in the design of air-driven boosters
Mathematical model with autoregressive process for electrocardiogram signals
Evaristo, Ronaldo M.; Batista, Antonio M.; Viana, Ricardo L.; Iarosz, Kelly C.; Szezech, José D., Jr.; Godoy, Moacir F. de
2018-04-01
The cardiovascular system is composed of the heart, blood and blood vessels. Regarding the heart, cardiac conditions are determined by the electrocardiogram, that is a noninvasive medical procedure. In this work, we propose autoregressive process in a mathematical model based on coupled differential equations in order to obtain the tachograms and the electrocardiogram signals of young adults with normal heartbeats. Our results are compared with experimental tachogram by means of Poincaré plot and dentrended fluctuation analysis. We verify that the results from the model with autoregressive process show good agreement with experimental measures from tachogram generated by electrical activity of the heartbeat. With the tachogram we build the electrocardiogram by means of coupled differential equations.
Rodionova, N. S.; Popov, E. S.; Pozhidaeva, E. A.; Pynzar, S. S.; Ryaskina, L. O.
2018-05-01
The aim of this study is to develop a mathematical model of the heat exchange process of LT-processing to estimate the dynamics of temperature field changes and optimize the regime parameters, due to the non-stationarity process, the physicochemical and thermophysical properties of food systems. The application of LT-processing, based on the use of low-temperature modes in thermal culinary processing of raw materials with preliminary vacuum packaging in a polymer heat- resistant film is a promising trend in the development of technics and technology in the catering field. LT-processing application of food raw materials guarantees the preservation of biologically active substances in food environments, which are characterized by a certain thermolability, as well as extend the shelf life and high consumer characteristics of food systems that are capillary-porous bodies. When performing the mathematical modeling of the LT-processing process, the packet of symbolic mathematics “Maple” was used, as well as the mathematical packet flexPDE that uses the finite element method for modeling objects with distributed parameters. The processing of experimental results was evaluated with the help of the developed software in the programming language Python 3.4. To calculate and optimize the parameters of the LT processing process of polycomponent food systems, the differential equation of non-stationary thermal conductivity was used, the solution of which makes it possible to identify the temperature change at any point of the solid at different moments. The present study specifies data on the thermophysical characteristics of the polycomponent food system based on plant raw materials, with the help of which the physico-mathematical model of the LT- processing process has been developed. The obtained mathematical model allows defining of the dynamics of the temperature field in different sections of the LT-processed polycomponent food systems on the basis of calculating the
Studies in the history of Indian mathematics
2010-01-01
This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigon...
The Kama Sutra, Romeo and Juliet, and Mathematics: Studying Mathematics for Pleasure
Padula, Janice
2005-01-01
The motivation of students is of great import to mathematics teachers. Such an abstract powerful language needs to be valued or students will not wish to study it. This article argues that mathematics may be better appreciated through the beauty of the language in which problems are written, respect for the cultures of others and through relevance…
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS
E.I. Baida
2015-04-01
Full Text Available Introduction. The complexity of the theoretical description of the magnetic pulse treatment of the material is in the mutual coupled processes of electromagnetic and thermal fields with plastic deformation of the material and processes in an electrical circuit. The paper deals with the combined transient mathematical model of the system of equations of the electromagnetic field, theory of elasticity, thermal conductivity and electrical circuit. Purpose. Research and testing of the developed mathematical model and assess the impact of various parameters on the process of deformation of the work piece. Methodology. Investigation of nonlinear mathematical model is carried out by the finite element method using a special software package. Results. The resulting solution of the transient mathematical model allows studying the influence of parameters of the circuit, the speed and the characteristics of the material to plastic deformation and heating of the work piece, which allows to select the optimum process parameters. Originality. This is an integrated approach to the development of a mathematical model, which includes the electromagnetic field equations, the theory of elasticity, thermal conductivity and electrical circuit equations with a storage capacitor. Conclusions. A comprehensive mathematical model and its solution are obtained. It is established a small effect of heating temperature on the amount of strain. Currents caused by movement of the work piece must be taken into account in the calculations. Inertial forces significantly affect the nature of the deformation. During the deformation it is necessary to consider the nonlinearity of elasticity modulus. Thermal deformation of the work piece is much less mechanical strain and opposite in sign to them, but the surface temperature stresses due to the high temperature gradient equal to 20 % of the yield strength of the work piece.
2013-01-01
This book consists of twenty seven chapters, which can be divided into three large categories: articles with the focus on the mathematical treatment of non-linear problems, including the methodologies, algorithms and properties of analytical and numerical solutions to particular non-linear problems; theoretical and computational studies dedicated to the physics and chemistry of non-linear micro-and nano-scale systems, including molecular clusters, nano-particles and nano-composites; and, papers focused on non-linear processes in medico-biological systems, including mathematical models of ferments, amino acids, blood fluids and polynucleic chains.
Deniz Özen
2013-03-01
Full Text Available The aim of this study is to investigate pre-service elementary mathematics teachers’ open geometric problem solving process in a Dynamic Geometry Environment. With its qualitative inquiry based research design employed, the participants of the study are three pre-service teachers from 4th graders of the Department of Elementary Mathematics Teaching. In this study, clinical interviews, screencaptures of the problem solving process in the Cabri Geomery Environment, and worksheets included 2 open geometry problems have been used to collect the data. It has been investigated that all the participants passed through similar recursive phases as construction, exploration, conjecture, validate, and justification in the problem solving process. It has been thought that this study provide a new point of view to curriculum developers, teachers and researchers
O. Ye. Prokopchenko
2015-10-01
Full Text Available The article analyzes the basic methods and algorithms of mathematical processing of medical images as objects of computer mathematics. The presented methods and computer algorithms of mathematics relevant and may find application in the field of medical imaging - automated processing of images; as a tool for measurement and determination the optical parameters; identification and formation of medical images database. Methods and computer algorithms presented in the article and based on Wolfram Mathematica are also relevant to the problem of modern medical education. As an example of Wolfram Mathematics may be considered appropriate demonstration, such as recognition of special radiographs and morphological imaging. These methods are used to improve the diagnostic significance and value of medical (clinical research and can serve as an educational interactive demonstration. Implementation submitted individual methods and algorithms of computer Wolfram Mathematics contributes, in general, the optimization process of practical processing and presentation of medical images.
Toyozumi, Kenichi; Yamada, Naoya; Kitasaka, Takayuki; Mori, Kensaku; Suenaga, Yasuhito; Mase, Kenji; Takahashi, Tomoichi
2004-01-01
Symbol segmentation is very important in handwritten mathematical formula recognition, since it is the very first portion of the recognition, since it is the very first portion of the recognition process. This paper proposes a new symbol segmentation method using mathematical structure information. The base technique of symbol segmentation employed in theexisting methods is dynamic programming which optimizes the overall results of individual symbol recognition. The new method we propose here...
Course of Study for Consumer Mathematics.
Montgomery County Public Schools, Rockville, MD.
Eleven units comprise this Consumer Mathematics course for secondary school students: Consumer Decision Making; Personal Transportation; Insurance; Credit; Banking; Investments; Income Taxes; Food, Clothing, Furniture, Appliances; Housing; Budgeting; and Travel. The introduction to the teaching guide for Consumer Mathematics includes a rationale…
Mathematical Formulation Requirements and Specifications for the Process Models
Steefel, C.; Moulton, D.; Pau, G.; Lipnikov, K.; Meza, J.; Lichtner, P.; Wolery, T.; Bacon, D.; Spycher, N.; Bell, J.; Moridis, G.; Yabusaki, S.; Sonnenthal, E.; Zyvoloski, G.; Andre, B.; Zheng, L.; Davis, J.
2010-11-01
The Advanced Simulation Capability for Environmental Management (ASCEM) is intended to be a state-of-the-art scientific tool and approach for understanding and predicting contaminant fate and transport in natural and engineered systems. The ASCEM program is aimed at addressing critical EM program needs to better understand and quantify flow and contaminant transport behavior in complex geological systems. It will also address the long-term performance of engineered components including cementitious materials in nuclear waste disposal facilities, in order to reduce uncertainties and risks associated with DOE EM's environmental cleanup and closure activities. Building upon national capabilities developed from decades of Research and Development in subsurface geosciences, computational and computer science, modeling and applied mathematics, and environmental remediation, the ASCEM initiative will develop an integrated, open-source, high-performance computer modeling system for multiphase, multicomponent, multiscale subsurface flow and contaminant transport. This integrated modeling system will incorporate capabilities for predicting releases from various waste forms, identifying exposure pathways and performing dose calculations, and conducting systematic uncertainty quantification. The ASCEM approach will be demonstrated on selected sites, and then applied to support the next generation of performance assessments of nuclear waste disposal and facility decommissioning across the EM complex. The Multi-Process High Performance Computing (HPC) Simulator is one of three thrust areas in ASCEM. The other two are the Platform and Integrated Toolsets (dubbed the Platform) and Site Applications. The primary objective of the HPC Simulator is to provide a flexible and extensible computational engine to simulate the coupled processes and flow scenarios described by the conceptual models developed using the ASCEM Platform. The graded and iterative approach to assessments
Mathematical modeling of processes of nuclear fuel extraction reprocessing
Rozen, A.M.; Zel'venskij, M.Ya.
1977-01-01
A mathematical model of extraction process in the mixer-settlers is given which describes both a simple step process and extraction complicated with chemical reactions. The extraction equilibrium is described on the basis of theoretical data on the extraction mechanism using the mass action law and contains one empirical constant. The equations for concentration extraction constants of uranium(6) and uranium(4), plutonium(3, 4, 6), neptunium(4, 6) and zirconium(4) depending on the solution ion strength are given, which are obtained by treatment of numerous experimental data. On the example of the reductive reextraction process it is shown that there is a good coincidence of the calculated results of the suggested model with the experimental ones by Mc-Kay. By the method of matematical modeling the uranium and plutonium separation processes without reducers are investigated. The purification improvement of uranium extract, for example, is followed by the deterioration of the data on the other end of cascade i.e. purification of plutonium reextract from uranium and vice versa. To obtain a high grade of separation is possible only in comparatively long cascades and, besides, the regime parameters should be precisely observed
Modelling Of Flotation Processes By Classical Mathematical Methods - A Review
Jovanović, Ivana; Miljanović, Igor
2015-12-01
Flotation process modelling is not a simple task, mostly because of the process complexity, i.e. the presence of a large number of variables that (to a lesser or a greater extent) affect the final outcome of the mineral particles separation based on the differences in their surface properties. The attempts toward the development of the quantitative predictive model that would fully describe the operation of an industrial flotation plant started in the middle of past century and it lasts to this day. This paper gives a review of published research activities directed toward the development of flotation models based on the classical mathematical rules. The description and systematization of classical flotation models were performed according to the available references, with emphasize exclusively given to the flotation process modelling, regardless of the model application in a certain control system. In accordance with the contemporary considerations, models were classified as the empirical, probabilistic, kinetic and population balance types. Each model type is presented through the aspects of flotation modelling at the macro and micro process levels.
Khamidullin, R. I.
2018-05-01
The paper is devoted to milestones of the optimal mathematical model for a business process related to cost estimate documentation compiled during construction and reconstruction of oil and gas facilities. It describes the study and analysis of fundamental issues in petroleum industry, which are caused by economic instability and deterioration of a business strategy. Business process management is presented as business process modeling aimed at the improvement of the studied business process, namely main criteria of optimization and recommendations for the improvement of the above-mentioned business model.
Ashkenazi, Sarit
2018-02-05
Current theoretical approaches suggest that mathematical anxiety (MA) manifests itself as a weakness in quantity manipulations. This study is the first to examine automatic versus intentional processing of numerical information using the numerical Stroop paradigm in participants with high MA. To manipulate anxiety levels, we combined the numerical Stroop task with an affective priming paradigm. We took a group of college students with high MA and compared their performance to a group of participants with low MA. Under low anxiety conditions (neutral priming), participants with high MA showed relatively intact number processing abilities. However, under high anxiety conditions (mathematical priming), participants with high MA showed (1) higher processing of the non-numerical irrelevant information, which aligns with the theoretical view regarding deficits in selective attention in anxiety and (2) an abnormal numerical distance effect. These results demonstrate that abnormal, basic numerical processing in MA is context related.
Bashirah Ibrahim
2017-10-01
Full Text Available We examine students’ mathematical performance on quantitative “synthesis problems” with varying mathematical complexity. Synthesis problems are tasks comprising multiple concepts typically taught in different chapters. Mathematical performance refers to the formulation, combination, and simplification of equations. Generally speaking, formulation and combination of equations require conceptual reasoning; simplification of equations requires manipulation of equations as computational tools. Mathematical complexity is operationally defined by the number and the type of equations to be manipulated concurrently due to the number of unknowns in each equation. We use two types of synthesis problems, namely, sequential and simultaneous tasks. Sequential synthesis tasks require a chronological application of pertinent concepts, and simultaneous synthesis tasks require a concurrent application of the pertinent concepts. A total of 179 physics major students from a second year mechanics course participated in the study. Data were collected from written tasks and individual interviews. Results show that mathematical complexity negatively influences the students’ mathematical performance on both types of synthesis problems. However, for the sequential synthesis tasks, it interferes only with the students’ simplification of equations. For the simultaneous synthesis tasks, mathematical complexity additionally impedes the students’ formulation and combination of equations. Several reasons may explain this difference, including the students’ different approaches to the two types of synthesis problems, cognitive load, and the variation of mathematical complexity within each synthesis type.
A case study of pedagogy of mathematics support tutors without a background in mathematics education
Walsh, Richard
2017-01-01
This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to these tutors' provision of mathematics support to first and second year undergraduate engineering students and second year undergraduate science students. It was found that tutors are lacking in various pedagogical skills which are needed for high-quality learning amongst service mathematics students (e.g. engineering/science/technology students), a demographic which have low levels of mathematics upon entering university. Tutors teach their support classes in a very fast didactic way with minimal opportunities for students to ask questions or to attempt problems. It was also found that this teaching method is even more so exaggerated in mandatory departmental mathematics tutorials that students take as part of their mathematics studies at tertiary level. The implications of the findings on mathematics tutor training at tertiary level are also discussed.
Specialization of the Right Intraparietal Sulcus for Processing Mathematics During Development.
Schel, Margot A; Klingberg, Torkel
2017-09-01
Mathematical ability, especially perception of numbers and performance of arithmetics, is known to rely on the activation of intraparietal sulcus (IPS). However, reasoning ability and working memory, 2 highly associated abilities also activate partly overlapping regions. Most studies aimed at localizing mathematical function have used group averages, where individual variability is averaged out, thus confounding the anatomical specificity when localizing cognitive functions. Here, we analyze the functional anatomy of the intraparietal cortex by using individual analysis of subregions of IPS based on how they are structurally connected to frontal, parietal, and occipital cortex. Analysis of cortical thickness showed that the right anterior IPS, defined by its connections to the frontal lobe, was associated with both visuospatial working memory, and mathematics in 6-year-old children. This region specialized during development to be specifically related to mathematics, but not visuospatial working memory in adolescents and adults. This could be an example of interactive specialization, where interacting with the environment in combination with interactions between cortical regions leads from a more general role of right anterior IPS in spatial processing, to a specialization of this region for mathematics. © The Author 2016. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com.
Technology-Enhanced Mathematics Education for Creative Engineering Studies
Triantafyllou, Eva; Timcenko, Olga
2014-01-01
This project explores the opportunities and challenges of integrating digital technologies in mathematics education in creative engineering studies. Students in such studies lack motivation and do not perceive the mathematics the same way as mathematics students do. Digital technologies offer new...... are conceptualized. Then, we are going to apply this field data in designing learning technologies, which will be introduced in university classrooms. The effect of this introduction will be evaluated through educational design experiments....
А mathematical model study of suspended monorail
Viktor GUTAREVYCH
2012-01-01
The mathematical model of suspended monorail track with allowance for elastic strain which occurs during movement of the monorail carriage was developed. Standard forms for single span and double span of suspended monorail sections were established.
А mathematical model study of suspended monorail
Viktor GUTAREVYCH
2012-01-01
Full Text Available The mathematical model of suspended monorail track with allowance for elastic strain which occurs during movement of the monorail carriage was developed. Standard forms for single span and double span of suspended monorail sections were established.
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
Principle-Based Mathematics: An Exploratory Study
Poon, Rebecca Chung-Yan
2014-01-01
Although educators and policymakers are becoming increasingly aware of the need for professional development that is content specific (Kennedy, 1999) and focuses on deepening and broadening teachers' knowledge of content for teaching (American Federation of Teachers, 2002; National Academy of Education, 2009), little attention has been given to supporting teachers' development of content knowledge as defined by Shulman (1986). Principle-Based Mathematics (PBM), a presentation of K-12 mathemat...
[Cambridge Conference on School Mathematics Feasibility Studies 9-13.
Cambridge Conference on School Mathematics, Newton, MA.
These materials are a part of a series of studies sponsored by the Cambridge Conference on School Mathematics which reflects the ideas of CCSM regarding the goals and objectives for school mathematics K-12. Feasibility Studies 9-13 contain a wide range of topics. The following are the titles and brief descriptions of these studies. Number…
Mathematical Modelling Research in Turkey: A Content Analysis Study
Çelik, H. Coskun
2017-01-01
The aim of the present study was to examine the mathematical modelling studies done between 2004 and 2015 in Turkey and to reveal their tendencies. Forty-nine studies were selected using purposeful sampling based on the term, "mathematical modelling" with Higher Education Academic Search Engine. They were analyzed with content analysis.…
A Study of Gender Differences in the Attitude of Mathematically ...
The aim of the study is to investigate the differences in the attitude of boys and girls who are mathematically gifted or mathematically non-gifted in the Nigerian senior secondary schools. The population for the study was made up Senior Secondary Three students (SS3) of a school in Osun State. The study sample was made ...
LEARNING AND THOUGHT PROCESSES IN REALISTIC MATHEMATICS INSTRUCTION
Nelissen, J.; Tomic, W.
2008-01-01
This article deals with the various different approaches to mathematics and the influence that these approaches have had on the teaching of this subject. In addition to the three generally known schools of mathematics instruction - the mechanistic, the structuralistic and the empirical - the article
The Importance of Dialogic Processes to Conceptual Development in Mathematics
Kazak, Sibel; Wegerif, Rupert; Fujita, Taro
2015-01-01
We argue that dialogic theory, inspired by the Russian scholar Mikhail Bakhtin, has a distinct contribution to the analysis of the genesis of understanding in the mathematics classroom. We begin by contrasting dialogic theory to other leading theoretical approaches to understanding conceptual development in mathematics influenced by Jean Piaget…
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
Serdal BALTACI
2016-10-01
Full Text Available It is a widely known fact that gifted students have different skills compared to their peers. However, to what extent gifted students use mathematical thinking skills during probability problem solving process emerges as a significant question. Thence, the main aim of the present study is to examine 8th grade gifted students’ probability problem-solving process related to daily life in terms of mathematical thinking skills. In this regard, a case study was used in the study. The participants of the study were six students at 8th grade (four girls and two boys from the Science and Art Center. One of the purposeful sampling methods, maximum variation sampling was used for selecting the participants. Clinical interview and problems were used as a data collection tool. As a results of the study, it was determined that gifted students use reasoning and strategies skill, which is one of the mathematical thinking skills, mostly on the process of probability problem solving, and communication skills at least.
Successful Minority Pedagogy in Mathematics: US and Japanese Case Studies
Ahn, Ruth; Catbagan, Paula; Tamayo, Kristin; I, Ji Yeong; Lopez, Mario; Walker, Pamela
2015-01-01
This study examines best practices in teaching mathematics to minority students through two case studies conducted at high-minority junior high schools in the USA and Japan. Observations, interviews, and conversations with the teachers in both countries focused on the research question: how do teachers successfully teach mathematics to minority…
An Integrated Approach to Mathematical Modeling: A Classroom Study.
Doerr, Helen M.
Modeling, simulation, and discrete mathematics have all been identified by professional mathematics education organizations as important areas for secondary school study. This classroom study focused on the components and tools for modeling and how students use these tools to construct their understanding of contextual problems in the content area…
Yamila Medina-Sánchez
2017-04-01
Full Text Available The pedagogical universities in their different denominations, whether as Pedagogical Higher Institutes, Pedagogical Sciences Universities or Eastern University, have had in their center, the training of the teacher in their different specialties. The Mathematics teacher has been the result of training models and curricula in correspondence with the historical moment to which they have responded, all with the purpose of preparing them to impart the mathematical content in the educations that constitute action scenarios. The objective of this paper is to analyze the historical behavior of the learning process of the basic mathematical contents in the training process, because it is understood as the fundamental basis for achieving the objectives. For its development were taken into account the logical historical method, the interview, the survey and the documentary analysis.
Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.
2014-01-01
This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…
Spatial Processing in Infancy Predicts Both Spatial and Mathematical Aptitude in Childhood.
Lauer, Jillian E; Lourenco, Stella F
2016-10-01
Despite considerable interest in the role of spatial intelligence in science, technology, engineering, and mathematics (STEM) achievement, little is known about the ontogenetic origins of individual differences in spatial aptitude or their relation to later accomplishments in STEM disciplines. The current study provides evidence that spatial processes present in infancy predict interindividual variation in both spatial and mathematical competence later in development. Using a longitudinal design, we found that children's performance on a brief visuospatial change-detection task administered between 6 and 13 months of age was related to their spatial aptitude (i.e., mental-transformation skill) and mastery of symbolic-math concepts at 4 years of age, even when we controlled for general cognitive abilities and spatial memory. These results suggest that nascent spatial processes present in the first year of life not only act as precursors to later spatial intelligence but also predict math achievement during childhood.
A Qualitative Study on Primary School Mathematics Lesson Evaluation
Zhao, Dongchen; Ma, Yunpeng
2009-01-01
Through the qualitative interviews of five implementers of primary school mathematics curriculum, this study addresses the ways in which mathematics lessons are evaluated. Results show that each evaluator recognizes different aspects of a "good lesson," however, among all criteria, the design of the lesson plan, realization of the lesson…
Mathematics Education as a Proving-Ground for Information-Processing Theories.
Greer, Brian, Ed.; Verschaffel, Lieven, Ed.
1990-01-01
Five papers discuss the current and potential contributions of information-processing theory to our understanding of mathematical thinking as those contributions affect the practice of mathematics education. It is concluded that information-processing theories need to be supplemented in various ways to more adequately reflect the complexity of…
Mathematical modeling of a single stage ultrasonically assisted distillation process.
Mahdi, Taha; Ahmad, Arshad; Ripin, Adnan; Abdullah, Tuan Amran Tuan; Nasef, Mohamed M; Ali, Mohamad W
2015-05-01
The ability of sonication phenomena in facilitating separation of azeotropic mixtures presents a promising approach for the development of more intensified and efficient distillation systems than conventional ones. To expedite the much-needed development, a mathematical model of the system based on conservation principles, vapor-liquid equilibrium and sonochemistry was developed in this study. The model that was founded on a single stage vapor-liquid equilibrium system and enhanced with ultrasonic waves was coded using MATLAB simulator and validated with experimental data for ethanol-ethyl acetate mixture. The effects of both ultrasonic frequency and intensity on the relative volatility and azeotropic point were examined, and the optimal conditions were obtained using genetic algorithm. The experimental data validated the model with a reasonable accuracy. The results of this study revealed that the azeotropic point of the mixture can be totally eliminated with the right combination of sonication parameters and this can be utilized in facilitating design efforts towards establishing a workable ultrasonically intensified distillation system. Copyright © 2014 Elsevier B.V. All rights reserved.
Ardıç, Mehmet Alper; Işleyen, Tevfik
2018-01-01
In this study, we deal with the development process of in-service training activities designed in order for mathematics teachers of secondary education to realize teaching of mathematics, utilizing computer algebra systems. In addition, the results obtained from the researches carried out during and after the in-service training were summarized. Last section focuses on suggestions any teacher can use to carry out activities aimed at using computer algebra systems in teaching environments.
Support of Study on Engineering Technology from Physics and Mathematics
Mynbaev, Djafar K.; Cabo, Candido; Kezerashvili, Roman Ya.; Liou-Mark, Janet
2008-01-01
An approach that provides students with an ability to transfer learning in physics and mathematics to the engineering-technology courses through e-teaching and e-learning process is proposed. E-modules of courses in mathematics, physics, computer systems technology, and electrical and telecommunications engineering technology have been developed. These modules being used in the Blackboard and Web-based communications systems create a virtual interdisciplinary learning community, which helps t...
Moll, Kristina; Göbel, Silke M; Snowling, Margaret J
2015-01-01
As well as being the hallmark of mathematics disorders, deficits in number processing have also been reported for individuals with reading disorders. The aim of the present study was to investigate separately the components of numerical processing affected in reading and mathematical disorders within the framework of the Triple Code Model. Children with reading disorders (RD), mathematics disorders (MD), comorbid deficits (RD + MD), and typically developing children (TD) were tested on verbal, visual-verbal, and nonverbal number tasks. As expected, children with MD were impaired across a broad range of numerical tasks. In contrast, children with RD were impaired in (visual-)verbal number tasks but showed age-appropriate performance in nonverbal number skills, suggesting their impairments were domain specific and related to their reading difficulties. The comorbid group showed an additive profile of the impairments of the two single-deficit groups. Performance in speeded verbal number tasks was related to rapid automatized naming, a measure of visual-verbal access in the RD but not in the MD group. The results indicate that deficits in number skills are due to different underlying cognitive deficits in children with RD compared to children with MD: a phonological deficit in RD and a deficit in processing numerosities in MD.
Persisting mathematics and science high school teachers: A Q-methodology study
Robbins-Lavicka, Michelle M.
There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.
The Role of Interactive Whiteboard on Motivating Learners in Mathematics Classes: A Case Study
Diana Mtchedlishvili
2015-09-01
Full Text Available The enhancement of motivation and enthusiasm by the use of interactive whiteboard has improved self- esteem, encouragement and success of many learners who have found mathematics difficult. This study aims to investigate whether the use of interactive whiteboard in mathematics classes promotes motivation of learners which facilitates learning process. 40 lecturers and 40 students were surveyed in the study and the results have been compared and it has been found that interactive whiteboard enhances interactivity, motivates learners and facilitates learning in mathematics classes.
Mathematical modelling of zirconium salicylate solvent extraction process
Smirnova, N.S.; Evseev, A.M.; Fadeeva, V.I.; Kochetkova, S.K.
1979-01-01
Mathematical modelling of equilibrium multicomponent physicochemical system at the extraction of zirconium salicylates by chloroform is carried out from HCl aqueous solutions at pH 0.5-4.7. Adequate models, comprising different molecular forms, corresponding to equilibrium phase composition are built
Mathematical modelling of zirconium salicylate solvent extraction process
Smirnova, N S; Evseev, A M; Fadeeva, V I; Kochetkova, S K [Moskovskij Gosudarstvennyj Univ. (USSR)
1979-11-01
Mathematical modelling of equilibrium multicomponent physicochemical system at the extraction of zirconium salicylates by chloroform is carried out from HCl aqueous solutions at pH 0.5-4.7. Adequate models, comprising different molecular forms, corresponding to equilibrium phase composition are built.
Nemchinova, N. V.; Tyutrin, A. A.; Salov, V. M.
2018-03-01
The silicon production process in the electric arc reduction furnaces (EAF) is studied using pelletized charge as an additive to the standard on the basis of the generated mathematical model. The results obtained due to the model will contribute to the analysis of the charge components behavior during melting with the achievement of optimum final parameters of the silicon production process. The authors proposed using technogenic waste as a raw material for the silicon production in a pelletized form using liquid glass and aluminum production dust from the electrostatic precipitators as a binder. The method of mathematical modeling with the help of the ‘Selector’ software package was used as a basis for the theoretical study. A model was simulated with the imitation of four furnace temperature zones and a crystalline silicon phase (25 °C). The main advantage of the created model is the ability to analyze the behavior of all burden materials (including pelletized charge) in the carbothermic process. The behavior analysis is based on the thermodynamic probability data of the burden materials interactions in the carbothermic process. The model accounts for 17 elements entering the furnace with raw materials, electrodes and air. The silicon melt, obtained by the modeling, contained 91.73 % wt. of the target product. The simulation results showed that in the use of the proposed combined charge, the recovery of silicon reached 69.248 %, which is in good agreement with practical data. The results of the crystalline silicon chemical composition modeling are compared with the real silicon samples of chemical analysis data, which showed the results of convergence. The efficiency of the mathematical modeling methods in the studying of the carbothermal silicon obtaining process with complex interphase transformations and the formation of numerous intermediate compounds using a pelletized charge as an additive to the traditional one is shown.
THE FEATURES OF LASER EMISSION ENERGY DISTRIBUTION AT MATHEMATIC MODELING OF WORKING PROCESS
A. M. Avsiyevich
2013-01-01
Full Text Available The space laser emission energy distribution of different continuous operation settings depends from many factors, first on the settings design. For more accurate describing of multimode laser emission energy distribution intensity the experimental and theoretic model, which based on experimental laser emission distribution shift presentation with given accuracy rating in superposition basic function form, is proposed. This model provides the approximation error only 2,2 percent as compared with 24,6 % and 61 % for uniform and Gauss approximation accordingly. The proposed model usage lets more accurate take into consideration the laser emission and working surface interaction peculiarity, increases temperature fields calculation accuracy for mathematic modeling of laser treatment processes. The method of experimental laser emission energy distribution studying for given source and mathematic apparatus for calculation of laser emission energy distribution intensity parameters depended from the distance in radial direction on surface heating zone are shown.
Esa, Suraya; Mohamed, Nurul Akmal
2017-05-01
This study aims to identify the relationship between students' learning styles and mathematics anxiety amongst Form Four students in Kerian, Perak. The study involves 175 Form Four students as respondents. The instrument which is used to assess the students' learning styles and mathematic anxiety is adapted from the Grasha's Learning Styles Inventory and the Mathematics Anxiety Scale (MAS) respectively. The types of learning styles used are independent, avoidant, collaborative, dependent, competitive and participant. The collected data is processed by SPSS (Statistical Packages for Social Sciences 16.0). The data is analysed by using descriptive statistics and inferential statistics that include t-test and Pearson correlation. The results show that majority of the students adopt collaborative learning style and the students have moderate level of mathematics anxiety. Moreover, it is found that there is significant difference between learning style avoidant, collaborative, dependent and participant based on gender. Amongst all students' learning style, there exists a weak but significant correlation between avoidant, independent and participant learning style and mathematics anxiety. It is very important for the teachers need to be concerned about the effects of learning styles on mathematics anxiety. Therefore, the teachers should understand mathematics anxiety and implement suitable learning strategies in order for the students to overcome their mathematics anxiety.
Behnoush Taheri
2015-07-01
Full Text Available Certainly teaching study skills of mathematics has special importance and plays important role in mathematics performance of students. As mothers spend more times with self-children then they can be effect on study and their mathematics performance. Present research implements to study of the relationship between mothers' studies with study skills and mathematics performance of their children. Population of this research is all girl students of first grade in high school at zone one of Tehran and sample is 97 people. For collecting data of this research through standard questionnaire of mathematics studies skills is used for measuring of study skill of mathematics and questions for studying information related to mothers' studies and a math exam for getting information of mathematics performance of students are used. The results indicated that there is not significant relationship between mothers' studies and study skill of mathematics among students. Also, it is indicated that there is positive significant relationship between mothers' studies and mathematic performance of students.
African Journal of Educational Studies in Mathematics and Sciences ...
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 ...
A Mathematical Experience Involving Defining Processes: In-Action Definitions and Zero-Definitions
Ouvrier-Buffet, Cecile
2011-01-01
In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud's approach enriches the study…
Implementing the National Council of Teachers of Mathematics Standards: A slow process
Joseph M. Furner
2004-10-01
Full Text Available The purpose of this study was to look at inservice teachers’ pedagogical beliefs about the National Council of Teachers of Mathematics Standards (1989 & 2000. The Standards’ Belief Instrument (Zollman and Mason, 1992 was administered on teachers. An ANOVA was used to look for a significant difference between teachers with five years or less experience of teaching mathematics, and those with more than five years teaching experience. One expectation was that teachers who are recent graduates of teacher education programmes may have more training on the NCTM Standards. Although there were no statistically significant differences between the two groups, this study did support the expectation. Current training with in-service teachers shows that many of the teachers are familiar with neither the National Council of Teachers of Mathematics nor their Standards. It seems then from this study that the implementation process of the NCTM Standards, and perhaps any standards or best practices and new curriculum implementation, is very sluggish.
Siegmund-Schultze, Reinhard
2001-01-01
Philanthropies funded by the Rockefeller family have been prominent in the social history of the twentieth century for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics. The careers of a generation of pathbreakers in modern mathematics, such as S.Banach, B.L.van der Waerden and André Weil, were decisively affected by their becoming fellows of the Rockefeller-funded International Education Board in the 1920s. To help promote cooperation between physics and mathematics Rockefeller funds supported the erection of the new Mathematical Institute in Göttingen between 1926 and 1929, while the rise of probability and mathematical statistics owes much to the creation of the Institut Henri Poincaré in Paris by American philanthropy at about the same time. This account draws upon the documented evaluation processes behind these personal and institutional involvements of philanthropies...
ABOUT THREE PROCESSES IN MATHEMATICS EDUCATION FOR SOLIDARITY ECONOMY ENTERPRISES
Renata Cristina Geromel Meneghetti
2013-07-01
Full Text Available This paper focuses on Mathematics Education in the context of Solidarity Economy and aims to approach our performance, aiming to answer demands of Mathematics Education of the three Solidarity Economy Enterprises (SEE: a cooperative cleaning, of a women carpenter’s group and a group manufacturing homemade soap. Based on the Ethnomathematics, a pedagogical intervention with these SEE was performed, in which we seek to work the Mathematics within the cultural context of these enterprises through problem situations related to their daily work. The research followed a qualitative research through action research. As a result we found that the approach applied has contributed to changes some attitudes, it was favorable to the learning of concepts and also the socioeconomic reintegration, in the direction of a posture more critical and emancipatory. The interventions were inserted in the Non Formal Education, and we point out that realize this type of education can indeed contribute to the ideals of Education in the Solidarity Economy as a way include those who have been socially excluded by formal education provided at school.
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.
Study and Research Paths at Upper Secondary Mathematics Education
Jessen, Britta Eyrich
the scope of teaching at this level. With respect to mathematical modelling, links and gaps were identified between scholarly knowledge and knowledge to be taught in secondary school. It is suggested that SRP based teaching can bridge parts of the identified gaps. Finally, it is found that in order for SRP......In didactics of mathematics, researchers have for decades been interested in how to teach students to pose questions and solve problems. Several approaches rely on the idea, that students learn mathematics, when they are engaged in activities similar to research mathematicians. This PhD project...... touch upon these ideas from the perspective offered by the Anthropological Theory of Didactics (ATD ). Within ATD, teaching is proposed to be designed as Study and Research Paths (SRP). This thesis investigates how SRP's support the students' learning of mathematics in a bidisciplinary context involving...
Mathematics of shape description a morphological approach to image processing and computer graphics
Ghosh, Pijush K
2009-01-01
Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description, the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition. This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit from this book. Key FeaturesExplains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approachPromotes interaction of image processing geochronology and mathematics in the field of algebraic geometryP...
Orlov Alexey
2016-01-01
Full Text Available This article presents results of development of the mathematical model of nonstationary separation processes occurring in gas centrifuge cascades for separation of multicomponent isotope mixtures. This model was used for the calculation parameters of gas centrifuge cascade for separation of germanium isotopes. Comparison of obtained values with results of other authors revealed that developed mathematical model is adequate to describe nonstationary separation processes in gas centrifuge cascades for separation of multicomponent isotope mixtures.
Orlov Alexey; Ushakov Anton; Sovach Victor
2016-01-01
This article presents results of development of the mathematical model of nonstationary separation processes occurring in gas centrifuge cascades for separation of multicomponent isotope mixtures. This model was used for the calculation parameters of gas centrifuge cascade for separation of germanium isotopes. Comparison of obtained values with results of other authors revealed that developed mathematical model is adequate to describe nonstationary separation processes in gas centrifuge casca...
Orlov, Aleksey Alekseevich; Ushakov, Anton; Sovach, Victor
2017-01-01
The article presents results of development of a mathematical model of nonstationary hydraulic processes in gas centrifuge cascade for separation of multicomponent isotope mixtures. This model was used for the calculation parameters of gas centrifuge cascade for separation of silicon isotopes. Comparison of obtained values with results of other authors revealed that developed mathematical model is adequate to describe nonstationary hydraulic processes in gas centrifuge cascades for separation...
A Multiple Intelligence Pedagogical Approach in Fifth Grade Mathematics: A Mixed Method Study
Davis, Claudine Davillier
2012-01-01
The need for mathematics intervention has increased tremendously over the years, particularly after the No Child Left Behind Act of 2001.Students who lack basic mathematics skills and students who experience mathematics difficulties greatly benefit from mathematics interventions. This study examined mathematics intervention through the use of the…
The nature of mathematical enrichment: a case study of implementation
Jennifer Susan Piggott
2007-12-01
Full Text Available This paper reports a framework for describing the nature of mathematics enrichment that emerged from a case study based on the work of the NRICH Project (www.nrich.maths.org team when producing “mathematics enrichment trails” (an ordered set of related mathematics problems and support materials. A range of data sources, including the trails, trail development sessions, related literature and the views of colleagues were used to inform the findings. The data were analysed using NVivo and involved the development of two complementary coding systems. One, drawn from the data itself, gave evidence of views of the content aspects of mathematical enrichment. The other, specifically designed and informed by the literature, was used to aid the analysis of the roles of teaching and learning inherent in views of enrichment described by participants. The framework describes the content of an enrichment curriculum as well as implications for teaching and learning, the experiences of learners and the features of settings where this occurs. To support this, some detail is provided on the role, nature and purpose of problem-solving and what constitutes a good problem. While emerging from a particular context, the framework highlights the need for debate concerning the audience for mathematics enrichment, particularly in questioning the commonly held belief that its value is in supporting the needs of the mathematically most able. The framework also has potential value through offering a focus for debate within the wider community concerning the nature of mathematics enrichment and as a reference point for evaluating the potential of existing or new curriculum to deliver mathematics enrichment.
Mathematical modelling with case studies using Maple and Matlab
Barnes, B
2014-01-01
Introduction to Mathematical ModelingMathematical models An overview of the book Some modeling approaches Modeling for decision makingCompartmental Models Introduction Exponential decay and radioactivity Case study: detecting art forgeries Case study: Pacific rats colonize New Zealand Lake pollution models Case study: Lake Burley Griffin Drug assimilation into the blood Case study: dull, dizzy, or dead? Cascades of compartments First-order linear DEs Equilibrium points and stability Case study: money, money, money makes the world go aroundModels of Single PopulationsExponential growth Density-
Yassin, Jamal S.; Eljrushi, Gibril S.
2006-01-01
This paper presents a mathematical model for thermal desalination plant operating with solar energy and hydrogen. This plant is composed of two main systems, the heating system and the distillation system. The distillation system is composed of multi-cells; each cell is using the humidification-dehumidification (H-D) process in the distillation unit and getting the required amount of heat from feed seawater heater. The feed seawater heater is a heat exchanger used to raise the temperature of the preheated seawater coming from the condensation chamber (Dehumidifier) of each cell to about 85 degree centigrade. The heating amount in the heat exchangers is obtained from the thermal storage tank, which gets its energy from solar thermal system and is coupled with a hydrogen-fired backup system to guaranty necessary operating conditions and permit 24 hours solar H-D desalination plant to enhance the performance of this system. The mathematical model studies the performance of the proposed desalination system using thermal solar energy and hydrogen as fuel. Other pertinent variable in the heating and distillation system are also studied. The outcomes of this study are analyzed to enhance the used solar desalination process and make commercial.(Author)
AbdElHaleem, H S [Cairo Univ.-CivlI Eng. Dept., Giza (Egypt); EI-Ahwany, A H [CairoUlmrsity- Faculty ofEngincering - Chemical Engineering Department, Giza (Egypt); Ibrahim, H I [Helwan University- Faculty of Engineering - Biomedical Engineering Department, Helwan (Egypt); Ibrahim, G [Menofia University- Faculty of Engineering Sbebin EI Kom- Basic Eng. Sc. Dept., Menofia (Egypt)
2004-07-01
Mathematical process modeling and biokinetics of activated sludge process were reviewed considering different types of models. It has been evaluated the task group models of ASMI. and 2, and 3 versioned by Henze et al considering the conditions of each model and the different processes of which every model consists. It is revealed that ASMI contains some defects avoided in ASM3. Relied on homogeneity, Models can be classified into homogenous models characterized by taking the activated sludge process as one phase. In this type of models, the internal mass transfer inside the floes was neglected.. Hence, the kinetic parameter produces can be considered inaccurate. The other type of models is the heterogeneous model This type considers the mass transfer operations in addition to the biochemical reaction processes; hence, the resulted kinetic parameters can be considered more accurate than that of homogenous type.
AbdElHaleem, H.S.; EI-Ahwany, A. H.; Ibrahim, H.I.; Ibrahim, G.
2004-01-01
Mathematical process modeling and biokinetics of activated sludge process were reviewed considering different types of models. It has been evaluated the task group models of ASMI. and 2, and 3 versioned by Henze et al considering the conditions of each model and the different processes of which every model consists. It is revealed that ASMI contains some defects avoided in ASM3. Relied on homogeneity, Models can be classified into homogenous models characterized by taking the activated sludge process as one phase. In this type of models, the internal mass transfer inside the floes was neglected.. Hence, the kinetic parameter produces can be considered inaccurate. The other type of models is the heterogeneous model This type considers the mass transfer operations in addition to the biochemical reaction processes; hence, the resulted kinetic parameters can be considered more accurate than that of homogenous type
Using Mental Imagery Processes for Teaching and Research in Mathematics and Computer Science
Arnoux, Pierre; Finkel, Alain
2010-01-01
The role of mental representations in mathematics and computer science (for teaching or research) is often downplayed or even completely ignored. Using an ongoing work on the subject, we argue for a more systematic study and use of mental representations, to get an intuition of mathematical concepts, and also to understand and build proofs. We…
Gultepe, Nejla; Yalcin Celik, Ayse; Kilic, Ziya
2013-01-01
The purpose of the study was to examine the effects of students' conceptual understanding of chemical concepts and mathematical processing skills on algorithmic problem-solving skills. The sample (N = 554) included grades 9, 10, and 11 students in Turkey. Data were collected using the instrument "MPC Test" and with interviews. The MPC…
Representations of Mathematics, their teaching and learning: an exploratory study
Maria Margarida Graça
2004-03-01
Full Text Available This work describes an exploratory study, the first of the four phases of a more inclusive research, which aims at understanding the way to promote, in a Mathematics teachers’ group, a representational evolution leading to a practice that allows a Mathematical meaningful learning of Mathematics. The methodology of this study is qualitative. Data gathering was based on questioning; all the subjects of the sample (n=48 carried out a projective task (a hierarchical evocation test and answered a written individual questionnaire. Data analysis was based in a set of categories previously defined. The main purpose of this research was to identify, to characterize and to describe the representations of Mathematics, their teaching and learning, in a group of 48 subjects, from different social groups, in order to get indicators for the construction of the instruments to be used in to the next phases of the research. The main results of this study are the following: (1 we were able to identify and characterize different representations of the teaching and learning of Mathematics, in what respects its epistemological, pedagogical, emotional and sociocultural dimensions; (2 we were also able to identify limitations, difficulties and items to be included or rephrased in the instruments used.
Sabag, Nissim
2017-10-01
The importance of knowledge and skills in mathematics for electrical engineering students is well known. Engineers and engineering educators agree that any engineering curriculum must include plenty of mathematics studies to enrich the engineer's toolbox. Nevertheless, little attention has been given to the possible contribution of examples from engineering fields for the clarification of mathematical issues.
Schneider, Michael; Beeres, Kassandra; Coban, Leyla; Merz, Simon; Susan Schmidt, S; Stricker, Johannes; De Smedt, Bert
2017-05-01
Many studies have investigated the association between numerical magnitude processing skills, as assessed by the numerical magnitude comparison task, and broader mathematical competence, e.g. counting, arithmetic, or algebra. Most correlations were positive but varied considerably in their strengths. It remains unclear whether and to what extent the strength of these associations differs systematically between non-symbolic and symbolic magnitude comparison tasks and whether age, magnitude comparison measures or mathematical competence measures are additional moderators. We investigated these questions by means of a meta-analysis. The literature search yielded 45 articles reporting 284 effect sizes found with 17,201 participants. Effect sizes were combined by means of a two-level random-effects regression model. The effect size was significantly higher for the symbolic (r = .302, 95% CI [.243, .361]) than for the non-symbolic (r = .241, 95% CI [.198, .284]) magnitude comparison task and decreased very slightly with age. The correlation was higher for solution rates and Weber fractions than for alternative measures of comparison proficiency. It was higher for mathematical competencies that rely more heavily on the processing of magnitudes (i.e. mental arithmetic and early mathematical abilities) than for others. The results support the view that magnitude processing is reliably associated with mathematical competence over the lifespan in a wide range of tasks, measures and mathematical subdomains. The association is stronger for symbolic than for non-symbolic numerical magnitude processing. So symbolic magnitude processing might be a more eligible candidate to be targeted by diagnostic screening instruments and interventions for school-aged children and for adults. © 2016 John Wiley & Sons Ltd.
Modeling eBook acceptance: A study on mathematics teachers
Jalal, Azlin Abd; Ayub, Ahmad Fauzi Mohd; Tarmizi, Rohani Ahmad
2014-12-01
The integration and effectiveness of eBook utilization in Mathematics teaching and learning greatly relied upon the teachers, hence the need to understand their perceptions and beliefs. The eBook, an individual laptop completed with digitized textbook sofwares, were provided for each students in line with the concept of 1 student:1 laptop. This study focuses on predicting a model on the acceptance of the eBook among Mathematics teachers. Data was collected from 304 mathematics teachers in selected schools using a survey questionnaire. The selection were based on the proportionate stratified sampling. Structural Equation Modeling (SEM) were employed where the model was tested and evaluated and was found to have a good fit. The variance explained for the teachers' attitude towards eBook is approximately 69.1% where perceived usefulness appeared to be a stronger determinant compared to perceived ease of use. This study concluded that the attitude of mathematics teachers towards eBook depends largely on the perception of how useful the eBook is on improving their teaching performance, implying that teachers should be kept updated with the latest mathematical application and sofwares to use with the eBook to ensure positive attitude towards using it in class.
Sayantan Nath
2015-09-01
Full Text Available In this paper, integration between multiple functions of image processing and its statistical parameters for intelligent alarming series based fire detection system is presented. The proper inter-connectivity mapping between processing elements of imagery based on classification factor for temperature monitoring and multilevel intelligent alarm sequence is introduced by abstractive canonical approach. The flow of image processing components between core implementation of intelligent alarming system with temperature wise area segmentation as well as boundary detection technique is not yet fully explored in the present era of thermal imaging. In the light of analytical perspective of convolutive functionalism in thermal imaging, the abstract algebra based inter-mapping model between event-calculus supported DAGSVM classification for step-by-step generation of alarm series with gradual monitoring technique and segmentation of regions with its affected boundaries in thermographic image of coal with respect to temperature distinctions is discussed. The connectedness of the multifunctional operations of image processing based compatible fire protection system with proper monitoring sequence is presently investigated here. The mathematical models representing the relation between the temperature affected areas and its boundary in the obtained thermal image defined in partial derivative fashion is the core contribution of this study. The thermal image of coal sample is obtained in real-life scenario by self-assembled thermographic camera in this study. The amalgamation between area segmentation, boundary detection and alarm series are described in abstract algebra. The principal objective of this paper is to understand the dependency pattern and the principles of working of image processing components and structure an inter-connected modelling technique also for those components with the help of mathematical foundation.
Mokhtari, Amir; Oryang, David; Chen, Yuhuan; Pouillot, Regis; Van Doren, Jane
2018-01-08
We developed a probabilistic mathematical model for the postharvest processing of leafy greens focusing on Escherichia coli O157:H7 contamination of fresh-cut romaine lettuce as the case study. Our model can (i) support the investigation of cross-contamination scenarios, and (ii) evaluate and compare different risk mitigation options. We used an agent-based modeling framework to predict the pathogen prevalence and levels in bags of fresh-cut lettuce and quantify spread of E. coli O157:H7 from contaminated lettuce to surface areas of processing equipment. Using an unbalanced factorial design, we were able to propagate combinations of random values assigned to model inputs through different processing steps and ranked statistically significant inputs with respect to their impacts on selected model outputs. Results indicated that whether contamination originated on incoming lettuce heads or on the surface areas of processing equipment, pathogen prevalence among bags of fresh-cut lettuce and batches was most significantly impacted by the level of free chlorine in the flume tank and frequency of replacing the wash water inside the tank. Pathogen levels in bags of fresh-cut lettuce were most significantly influenced by the initial levels of contamination on incoming lettuce heads or surface areas of processing equipment. The influence of surface contamination on pathogen prevalence or levels in fresh-cut bags depended on the location of that surface relative to the flume tank. This study demonstrates that developing a flexible yet mathematically rigorous modeling tool, a "virtual laboratory," can provide valuable insights into the effectiveness of individual and combined risk mitigation options. © 2018 The Authors Risk Analysis published by Wiley Periodicals, Inc. on behalf of Society for Risk Analysis.
Ho Younghusband, Alice Christine
2017-01-01
Certified teachers in British Columbia (BC) schools can be assigned to teach secondary mathematics without having a major, minor, or formal background in mathematics. This is known as out-of-field teaching. These non-mathematics subject specialist teachers (NMSSTs) must learn or relearn the subject matter of mathematics to teach secondary mathematics. This study investigates what professional learning activities NMSSTs participate in to gain subject matter content knowledge in mathematics, wh...
Mathematical model development of heat and mass exchange processes in the outdoor swimming pool
M. V. Shaptala; D. E. Shaptala
2014-01-01
Purpose. Currently exploitation of outdoor swimming pools is often not cost-effective and, despite of their relevance, such pools are closed in large quantities. At this time there is no the whole mathematical model which would allow assessing qualitatively the effect of energy-saving measures. The aim of this work is to develop a mathematical model of heat and mass exchange processes for calculating basic heat and mass losses that occur during its exploitation. Methodology. The m...
Improving Mathematics Teaching as Deliberate Practice through Chinese Lesson Study
Huang, Rongjin; Prince, Kyle M.; Barlow, Angela T.
2017-01-01
This study examined how a ninth grade teacher improved an Algebra I lesson through a lesson study approach. We used multiple data sources to investigate the improvement of the lesson towards student-centered mathematics instruction, perceived benefits of the teacher, and factors associated with the improvement of teaching. The lesson group…
Grotheer, Mareike; Jeska, Brianna; Grill-Spector, Kalanit
2018-03-28
A region in the posterior inferior temporal gyrus (ITG), referred to as the number form area (NFA, here ITG-numbers) has been implicated in the visual processing of Arabic numbers. However, it is unknown if this region is specifically involved in the visual encoding of Arabic numbers per se or in mathematical processing more broadly. Using functional magnetic resonance imaging (fMRI) during experiments that systematically vary tasks and stimuli, we find that mathematical processing, not preference to Arabic numbers, consistently drives both mean and distributed responses in the posterior ITG. While we replicated findings of higher responses in ITG-numbers to numbers than other visual stimuli during a 1-back task, this preference to numbers was abolished when participants engaged in mathematical processing. In contrast, an ITG region (ITG-math) that showed higher responses during an adding task vs. other tasks maintained this preference for mathematical processing across a wide range of stimuli including numbers, number/letter morphs, hands, and dice. Analysis of distributed responses across an anatomically-defined posterior ITG expanse further revealed that mathematical task but not Arabic number form can be successfully and consistently decoded from these distributed responses. Together, our findings suggest that the function of neuronal regions in the posterior ITG goes beyond the specific visual processing of Arabic numbers. We hypothesize that they ascribe numerical content to the visual input, irrespective of the format of the stimulus. Copyright © 2018 Elsevier Inc. All rights reserved.
Li, Xinyi; Takaoka, Masaki; Zhu, Fenfen; Oshita, Kazuyuki; Mizuno, Tadao; Morisawa, Shinsuke
2010-01-01
Over the past two decades, China has experienced rapid urbanization, which also leads to a lot of environmental problems including those of sewage sludge. As the amount of sewage sludge increases, conventional methods of treatment, such as compost and landfill, are facing the problems of limitations in demands or land. Considering that the demand of constructive materials in China keeps increasing, reusing municipal sewage sludge (MSS) in cement manufactory plant as fuels and raw materials is another practicable way to deal with it. The aim of this study is to describe the process of the heating of sewage sludge under different atmospheres of nitrogen and oxygen, and to find out some relation between the moisture of MSS and the heating time under different surrounding temperature by means of a mathematical model. In this study, we compared 4 kinds of MSS sampled in Beijing and Osaka. First of all, we defined the differences in those fundamental physical properties, such as concentration of various elements, calorific values and so on. Then the macroscopical thermal properties of the sludges were observed by means of thermogravimetric (TG) analysis. Both pyrolysis and combustion of 4 samples of MSS were studied by TG dynamic runs carried out at 10K/m. Visual observation of the heating profiles shows three stages in the heating process, which have been characterized. At last, we focused on batch processing drying tests using muffle furnace under temperature of 200, 250 and 300 degrees Celsius. The volatile matters loss besides moisture during heating process was evaluated and the experimental drying curves were matched with a mathematical model. (author)
Study and mathematical model of ultra-low gas burner
Gueorguieva, A.
2001-01-01
The main objective of this project is prediction and reduction of NOx and CO 2 emissions under levels recommended from European standards for gas combustion processes. A mathematical model of burner and combustion chamber is developed based on interacting fluid dynamics processes: turbulent flow, gas phase chemical reactions, heat and radiation transfer The NOx prediction model for prompt and thermal NOx is developed. The validation of CFD (Computer fluid-dynamics) simulations corresponds to 5 MWI burner type - TEA, installed on CASPER boiler. This burner is three-stream air distribution burner with swirl effect, designed by ENEL to meet future NOx emission standards. For performing combustion computer modelling, FLUENT CFD code is preferred, because of its capabilities to provide accurately description of large number of rapid interacting processes: turbulent flow, phase chemical reactions and heat transfer and for its possibilities to present wide range of calculation and graphical output reporting data The computational tool used in this study is FLUENT version 5.4.1, installed on fs 8200 UNIX systems The work includes: study the effectiveness of low-NOx concepts and understand the impact of combustion and swirl air distribution and flue gas recirculation on peak flame temperatures, flame structure and fuel/air mixing. A finite rate combustion model: Eddy-Dissipation (Magnussen-Hjertager) Chemical Model for 1, 2 step Chemical reactions of bi-dimensional (2D) grid is developed along with NOx and CO 2 predictions. The experimental part of the project consists of participation at combustion tests on experimental facilities located in Livorno. The results of the experiments are used, to obtain better vision for combustion process on small-scaled design and to collect the necessary input data for further Fluent simulations
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
Mathematical modeling of physical processes in inorganic chemistry
Chiu, H.L.
1988-01-01
The first part deals with the rapid calculation of steady-state concentration profiles in contactors using the Purex Process. Most of the computer codes simulating the reprocessing of spent nuclear fuel generate the steady-state properties by calculating the transient behavior of the contactors. In this study, the author simulates the steady-state concentration profiles directly without first generating the transient behavior. Two computer codes are developed, PUMA (Plutonium-Uranium-Matrix-Algorithm) and PUNE (Plutonium-Uranium-Non-Equilibrium). The first one simulates the steady-state concentration profiles under conditions of equilibrium mass transfer. The second one accounts for deviations from mass transfer equilibrium. The second part of this dissertation shows how to use the classical trajectory method to study the equilibrium and saddle-point geometries of MX n (n = 2-7) molecules. Two nuclear potential functions that have the property of invariance to the operations of the permutation group of nuclei in molecules of the general formula MX n are described. Such potential functions allow equivalent isomers to have equal energies so that various statistical mechanical properties can be simply determined. The first function contains two center interactions between pairs of peripheral atoms and its defined by V(r) = 1/2Σ α k triangle r αμ 2 + Σ α QR αβ -n (n = 1,2...). The second function contains two and three center interactions and is defined by V(Θ) = 1/2Σ α K triangle αμ 2 + 1/2Σ α Qr 0 2 (Θ αμβ - π) 2
Mathematical modelling of anaerobic digestion processes: applications and future needs
Batstone, Damien J.; Puyol, Daniel; Flores Alsina, Xavier
2015-01-01
Anaerobic process modelling is a mature and well-established field, largely guided by a mechanistic model structure that is defined by our understanding of underlying processes. This led to publication of the IWA ADM1, and strong supporting, analytical, and extension research in the 15 years sinc...
Studies in Mathematics, Volume X. Applied Mathematics in the High School.
Schiffer, Max M.
This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…
Adults Studying Pure Mathematics in Adult Tertiary Preparation.
Bennison, Anne
2002-01-01
Investigated the experiences of a group of adults enrolled in the Pure Mathematics module of the Certificate IV in Adult Tertiary Preparation in 2000 at one of the Institutes of TAFE in Brisbane, Australia. Classroom learning experiences, exposure to technology, and the impact of returning to study on other facets of students' lives were…
Cross-national Retrospective Studies of Mathematics Olympians.
Campbell, James Reed, Ed.
1996-01-01
The eight chapters of this theme issue use quantitative and qualitative methods to explore the nature and nurture of young participants in the mathematics Olympiad from five countries. Parallel studies are presented of winners from China, Taiwan, and the United States, along with descriptions of programs in Japan and Russia. (SLD)
Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.
MacKenzie, Louise; Smith, Alice
These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…
A Mathematical Model for Reactions During Top-Blowing in the AOD Process: Validation and Results
Visuri, Ville-Valtteri; Järvinen, Mika; Kärnä, Aki; Sulasalmi, Petri; Heikkinen, Eetu-Pekka; Kupari, Pentti; Fabritius, Timo
2017-06-01
In earlier work, a fundamental mathematical model was proposed for side-blowing operation in the argon oxygen decarburization (AOD) process. In the preceding part "Derivation of the Model," a new mathematical model was proposed for reactions during top-blowing in the AOD process. In this model it was assumed that reactions occur simultaneously at the surface of the cavity caused by the gas jet and at the surface of the metal droplets ejected from the metal bath. This paper presents validation and preliminary results with twelve industrial heats. In the studied heats, the last combined-blowing stage was altered so that oxygen was introduced from the top lance only. Four heats were conducted using an oxygen-nitrogen mixture (1:1), while eight heats were conducted with pure oxygen. Simultaneously, nitrogen or argon gas was blown via tuyères in order to provide mixing that is comparable to regular practice. The measured carbon content varied from 0.4 to 0.5 wt pct before the studied stage to 0.1 to 0.2 wt pct after the studied stage. The results suggest that the model is capable of predicting changes in metal bath composition and temperature with a reasonably high degree of accuracy. The calculations indicate that the top slag may supply oxygen for decarburization during top-blowing. Furthermore, it is postulated that the metal droplets generated by the shear stress of top-blowing create a large mass exchange area, which plays an important role in enabling the high decarburization rates observed during top-blowing in the AOD process. The overall rate of decarburization attributable to top-blowing in the last combined-blowing stage was found to be limited by the mass transfer of dissolved carbon.
Putri, Arrival Rince; Nova, Tertia Delia; Watanabe, M.
2016-02-01
Bird flu infection processes within a poultry farm are formulated mathematically. A spatial effect is taken into account for the virus concentration with a diffusive term. An infection process is represented in terms of a traveling wave solutions. For a small removal rate, a singular perturbation analysis lead to existence of traveling wave solutions, that correspond to progressive infection in one direction.
A MATHEMATICAL MODEL OF THE ROASTING CHESTNUTS PROCESS BY SUPERHEATED STEAM
A. N. Ostrikov
2013-01-01
Full Text Available The mathematic modeling for chestnuts roasting process by superheated steam is conducted. Diffusion and thermal diffusion coefficients are used for process description. Initial conditions and boundary conditions of the third kind for thermal conductivity and mass transfer equations are set.
FORMULATION OF MATHEMATICAL PROBLEM DESCRIBING PHYSICAL AND CHEMICAL PROCESSES AT CONCRETE CORROSION
Sergey V. Fedosov
2017-06-01
Full Text Available The article deals with the relevance of new scientific research focused on modeling of physical and chemical processes occurring in the cement concrete at their exploitation. The basic types of concrete corrosion are described. The problem of mass transfer processes in a flat reinforced concrete wall at concrete corrosion of the first and the second types has been mathematically formulated.
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....
Carrejo, David J.; Marshall, Jill
2007-01-01
This paper focuses on the construction, development, and use of mathematical models by prospective science and mathematics teachers enrolled in a university physics course. By studying their involvement in an inquiry-based, experimental approach to learning kinematics, we address a fundamental question about the meaning and role of abstraction in…
Aitziber Ojanguren
2013-06-01
Full Text Available Industrial processes that apply high temperatures in the presence of oxygen may compromise the stability of conjugated linoleic acid (CLA bioactive isomers. Statistical techniques are used in this study to model and predict, on a laboratory scale, the oxidative behaviour of oil with high CLA content, controlling the limiting factors of food processing. This modelling aims to estimate the impact of an industrial frying process (140 °C, 7 L/h air on the oxidation of CLA oil for use as frying oil instead of sunflower oil. A factorial design was constructed within a temperature (80–200 °C and air flow (7–20 L/h range. Oil stability index (Rancimat method was used as a measure of oxidation. Three-level full factorial design was used to obtain a quadratic model for CLA oil, enabling the oxidative behaviour to be predicted under predetermined process conditions (temperature and air flow. It is deduced that temperatures applied in food processes affect the oxidation of CLA to a greater extent than air flow. As a result, it is estimated that the oxidative stability of CLA oil is less resistant to industrial frying than sunflower oil. In conclusion, thanks to the mathematical model, a good choice of the appropriate industrial food process can be selected to avoid the oxidation of the bioactive isomers of CLA, ensuring its functionality in novel applications.
Mathematical model for hysteresis phenomenon in moisture transport of concrete carbonation process
Aiki, Toyohiko; Kumazaki, Kota
2012-01-01
From civil engineering point of view it is very important to construct and analyze a mathematical model for a mechanism of concrete carbonation process. On this subject there are several mathematical results concerned with a one-dimensional model, in which hysteresis effects are neglected. Our aim is to give a model with hysteresis effects appearing in carbonation process. In this paper, as the first step of this research we focus only on moisture transport in the process and propose an initial boundary value problem for a system of partial differential equations as a mathematical model. Also, we give results on the existence of a solution to the problem, globally in time and the uniqueness in only one-dimensional case without proofs.
THE METHODICAL ASPECTS OF THE ALGEBRA AND THE MATHEMATICAL ANALYSIS STUDY USING THE SAGEMATH CLOUD
M. Popel
2014-06-01
Full Text Available The quality of mathematics education depends largely on the quality of education in general. The main idea may be summarized as follows: in order to educate the younger generation of people to be able to meet adequately the demands of the time, it is necessary to create conditions for the high-quality mathematics education. Improving the quality of mathematics education of pupils in secondary school is one of the most pressing problems. Contents of the school course of mathematics and its teaching method has always been the subject of undammed and sometimes stormy scientific debates. There are especially true methods of teaching algebra and the analisis in the high secondary school. Still in the study process the algebraic concepts and principles of analysis are given in such an abstract and generalized form that the student may has considerable difficulties to map these general abstract concepts to the certain concrete images, they are generalizations of. Improving education quality indicators can be achieved by using the appropriate computer technology. The article deals with the use of the cloud-oriented systems of computer mathematics (SCM. The prospects of development of the Web-SCM in terms of cloud-based learning environment are considered. The pedagogical features of the SageMath Cloud use as a tool for mathematics learning are revealed. The methodological aspects of algebra and elementary analysis teaching in a high profile school using the cloud-oriented the SCM SageMath Cloud are revealed.
Project-Based Social Justice Mathematics: A Case Study of Five 6th Grade Students
McHugh, Maighread L.
2015-01-01
The purpose of this qualitative multiple case study was to explore how five sixth grade female students navigated the process of project-based learning as they designed and implemented their own project centered on mathematics while using a social justice lens. The theoretical frameworks of Authentic Intellectual Work and Social Justice…
Swanson, H. Lee
2011-01-01
The role of working memory (WM) in children's growth in mathematical problem solving was examined in a longitudinal study of children (N = 127). A battery of tests was administered that assessed problem solving, achievement, WM, and cognitive processing (inhibition, speed, phonological coding) in Grade 1 children, with follow-up testing in Grades…
Mathematical simulation of the process of condensing natural gas
Tastandieva, G. M.
2015-01-01
Presents a two-dimensional unsteady model of heat transfer in terms of condensation of natural gas at low temperatures. Performed calculations of the process heat and mass transfer of liquefied natural gas (LNG) storage tanks of cylindrical shape. The influence of model parameters on the nature of heat transfer. Defined temperature regimes eliminate evaporation by cooling liquefied natural gas. The obtained dependence of the mass flow rate of vapor condensation gas temperature. Identified the possibility of regulating the process of "cooling down" liquefied natural gas in terms of its partial evaporation with low cost energy.
Mathematical simulation of the process of condensing natural gas
Tastandieva G.M.
2015-01-01
Full Text Available Presents a two-dimensional unsteady model of heat transfer in terms of condensation of natural gas at low temperatures. Performed calculations of the process heat and mass transfer of liquefied natural gas (LNG storage tanks of cylindrical shape. The influence of model parameters on the nature of heat transfer. Defined temperature regimes eliminate evaporation by cooling liquefied natural gas. The obtained dependence of the mass flow rate of vapor condensation gas temperature. Identified the possibility of regulating the process of “cooling down” liquefied natural gas in terms of its partial evaporation with low cost energy.
The Role of Hellinger Processes in Mathematical Finance
T. R. Hurd
2001-09-01
Full Text Available This paper illustrates the natural role that Hellinger processes can play in solving problems from Ã‚Â¯nance. We propose an extension of the concept of Hellinger process applicable to entropy distance and f-divergence distances, where f is a convex logarithmic function or a convex power function with general order q, 0 6= q < 1. These concepts lead to a new approach to Merton's optimal portfolio problem and its dual in general LÃ‚Â¶evy markets.
Garnier, Helen E.; Lemmens, Meike; Druker, Stephen L.; Roth, Kathleen J.
2011-01-01
This second volume of the Third International Mathematics and Science Study (TIMSS) 1999 Video Study Technical Report focuses on every aspect of the planning, implementation, processing, analysis, and reporting of the science components of the TIMSS 1999 Video Study. The report is intended to serve as a record of the actions and documentation of…
Linear Mathematical Model for Seam Tracking with an Arc Sensor in P-GMAW Processes.
Liu, Wenji; Li, Liangyu; Hong, Ying; Yue, Jianfeng
2017-03-14
Arc sensors have been used in seam tracking and widely studied since the 80s and commercial arc sensing products for T and V shaped grooves have been developed. However, it is difficult to use these arc sensors in narrow gap welding because the arc stability and sensing accuracy are not satisfactory. Pulse gas melting arc welding (P-GMAW) has been successfully applied in narrow gap welding and all position welding processes, so it is worthwhile to research P-GMAW arc sensing technology. In this paper, we derived a linear mathematical P-GMAW model for arc sensing, and the assumptions for the model are verified through experiments and finite element methods. Finally, the linear characteristics of the mathematical model were investigated. In torch height changing experiments, uphill experiments, and groove angle changing experiments the P-GMAW arc signals all satisfied the linear rules. In addition, the faster the welding speed, the higher the arc signal sensitivities; the smaller the groove angle, the greater the arc sensitivities. The arc signal variation rate needs to be modified according to the welding power, groove angles, and weaving or rotate speed.
Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell
2013-01-01
The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3rd and 4th grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively “start-up” tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school. PMID:24255710
Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell
2013-01-01
The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3(rd) and 4(th) grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively "start-up" tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school.
The Effect of Teacher Beliefs on Student Competence in Mathematical Modeling--An Intervention Study
Mischo, Christoph; Maaß, Katja
2013-01-01
This paper presents an intervention study whose aim was to promote teacher beliefs about mathematics and learning mathematics and student competences in mathematical modeling. In the intervention, teachers received written curriculum materials about mathematical modeling. The concept underlying the materials was based on constructivist ideas and…
Mathematical simulation of the process of condensing natural gas
Tastandieva G.M.
2015-01-01
Presents a two-dimensional unsteady model of heat transfer in terms of condensation of natural gas at low temperatures. Performed calculations of the process heat and mass transfer of liquefied natural gas (LNG) storage tanks of cylindrical shape. The influence of model parameters on the nature of heat transfer. Defined temperature regimes eliminate evaporation by cooling liquefied natural gas. The obtained dependence of the mass flow rate of vapor condensation gas temperature. Identified the...
Study on the Efficiency of Mathematics Distance Education
Abdollah Safavi
2013-07-01
Full Text Available In view of scientific and technological advancements, enthusiasm and need of the people for learning and the phenomenon of urban sprawl in many countries, especially advanced and industrial countries, distance education system has been used for many years as a method of teaching people in different locations and in different times without the student's needing to attend a class. Since it has been only a few years that this type of education has been used in the education system of the vast country of Iran and in view of special structure of mathematics and the importance and sensitiveness of its education, the present study was made to assess the success of students in this system of mathematics education. The statistical population of this research consists of 95 boy students from high schools of Tehran who were chosen by quasi-cluster method. 35 students in distance education system were chosen as experiment group and 60 students in traditional education system were chosen as control group. Using quasi-standard harmonious mathematics test and according to the results of descriptive statistics, Levene tests and independent samples test, this method of mathematics education was not found efficient for high school students of Tehran.
A Study on the Role of Drama in Learning Mathematics
Elahe Masoum
2013-08-01
Full Text Available Present educational systems needs modern strategies for teaching and learning. Mathematics education has to change for students in elementary schools. One of the modern strategies, it is drama activities. The drama is as empirical aspect of learning. The student may learn from what they are doing in drama. They are so active instead having a passive shape in drama, in fact, students are learning, finding experiences and new paths from drama as well. The students could find its capabilities, recommendations and strength-weakness points through the different drama. This study is looking to investigate the role of drama so that have a better understanding of mathematical concepts in Zahedan's girly elementary students (2011-12. This research is used on 36 three grade students through quasi-experiment method. The emerging results clearly showed that using drama in mathematics education has been better results against the traditional teaching. Then it seems that cited method is suitable for elementary students to learn mathematical concepts.
Herzog, Sereina A; Blaizot, Stéphanie; Hens, Niel
2017-12-18
Mathematical models offer the possibility to investigate the infectious disease dynamics over time and may help in informing design of studies. A systematic review was performed in order to determine to what extent mathematical models have been incorporated into the process of planning studies and hence inform study design for infectious diseases transmitted between humans and/or animals. We searched Ovid Medline and two trial registry platforms (Cochrane, WHO) using search terms related to infection, mathematical model, and study design from the earliest dates to October 2016. Eligible publications and registered trials included mathematical models (compartmental, individual-based, or Markov) which were described and used to inform the design of infectious disease studies. We extracted information about the investigated infection, population, model characteristics, and study design. We identified 28 unique publications but no registered trials. Focusing on compartmental and individual-based models we found 12 observational/surveillance studies and 11 clinical trials. Infections studied were equally animal and human infectious diseases for the observational/surveillance studies, while all but one between humans for clinical trials. The mathematical models were used to inform, amongst other things, the required sample size (n = 16), the statistical power (n = 9), the frequency at which samples should be taken (n = 6), and from whom (n = 6). Despite the fact that mathematical models have been advocated to be used at the planning stage of studies or surveillance systems, they are used scarcely. With only one exception, the publications described theoretical studies, hence, not being utilised in real studies.
Vincent, Jill; Stacey, Kaye
2008-04-01
Australian eighth-grade mathematics lessons were shown by the 1999 TIMSS Video Study to use a high proportion of problems of low procedural complexity, with considerable repetition, and an absence of deductive reasoning. Using definitions from the Video Study, this study re-investigated this `shallow teaching syndrome' by examining the problems on three topics in nine eighth-grade textbooks from four Australian states for procedural complexity, type of solving processes, degree of repetition, proportion of `application' problems and proportion of problems requiring deductive reasoning. Overall, there was broad similarity between the characteristics of problems in the textbooks and in the Australian Video Study lessons. There were, however, considerable differences between textbooks and between topics within textbooks. In some books, including the best-selling textbooks in several states, the balance is too far towards repetitive problems of low procedural complexity.
Implementing the National Council of Teachers of Mathematics Standards: A slow process
Joseph M. Furner
2004-01-01
The purpose of this study was to look at inservice teachers’ pedagogical beliefs about the National Council of Teachers of Mathematics Standards (1989 & 2000). The Standards’ Belief Instrument (Zollman and Mason, 1992) was administered on teachers. An ANOVA was used to look for a significant difference between teachers with five years or less experience of teaching mathematics, and those with more than five years teaching experience. One expectation was that teachers who are recent graduat...
On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process.
Flegg, Jennifer A; Menon, Shakti N; Maini, Philip K; McElwain, D L Sean
2015-01-01
Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.
Current Mathematical Methods Used in QSAR/QSPR Studies
Peixun Liu
2009-04-01
Full Text Available This paper gives an overview of the mathematical methods currently used in quantitative structure-activity/property relationship (QASR/QSPR studies. Recently, the mathematical methods applied to the regression of QASR/QSPR models are developing very fast, and new methods, such as Gene Expression Programming (GEP, Project Pursuit Regression (PPR and Local Lazy Regression (LLR have appeared on the QASR/QSPR stage. At the same time, the earlier methods, including Multiple Linear Regression (MLR, Partial Least Squares (PLS, Neural Networks (NN, Support Vector Machine (SVM and so on, are being upgraded to improve their performance in QASR/QSPR studies. These new and upgraded methods and algorithms are described in detail, and their advantages and disadvantages are evaluated and discussed, to show their application potential in QASR/QSPR studies in the future.
Strategy for integration of coastal culture in learning process of mathematics in junior high school
Suyitno, H.; Zaenuri; Florentinus, T. S.; Zakaria, E.
2018-03-01
Traditional life in the fishing family is part of the local culture. Many School-age children in the fishing family drop-outs due to lack of parents motivation and the environment was less supportive. The problems were: (1) How the strategy of integration of local culture in learning process of mathematics in Junior High School (JHS)? (2) How to prepare the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture, that has an ISBN, has international level, applicable, and in accordance with the current curriculum? The purposes of this research were: (1) to obtain the strategy of integration of local culture in learning process of mathematics in JHS, through FGD between UNNES and UKM; (2) to obtain the experts validation, through Focus Group Discussion (FGD) between UNNES and UKM toward the draft of the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture; (3) produces Mathematics Student’s Book for grade 7 SMP which based on coastal culture and has an ISBN, international, applicable, and in accordance with the curriculum. The research activity was a qualitative research, so that the research methods include: (1) data reduction, (2) display data, (3) data interpretation, and (4) conclusion/verification. The main activities of this research: drafting the Mathematics Student’s Book of Grade 7 which based on coastal culture; get the validation from international partners;conducting FGD at Education Faculty of Universiti Kebangsaan Malaysia through the program of visiting lecturers for getting the Mathematics Student’s Book of grade 7 which based on coastal culture, registering for ISBN, and publishing the reasearch results in International seminar and International Journals. The results of this research were as follows. (1) Getting a good strategy for integration of local culture in learning process of mathematics in JHS. (2) Getting the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture
Inverse mathematical modelling and identification in metal powder compaction process
Gakwaya, A.; Hrairi, M.; Guillot, M.
2000-01-01
An online assessment of the quality of advanced integrated computer aided manufacturing systems require the knowledge of accurate and reliable non-linear constitutive material behavior. This paper is concerned with material parameter identification based on experimental data for which non uniform distribution of stresses and deformation within the volume of the specimen is considered. Both geometric and material non linearities as well interfacial frictional contact are taken into account during the simulation. Within the framework of finite deformation theory, a multisurface multiplicative plasticity model for metal powder compaction process is presented. The model is seen to involve several parameters which are not always activated by a single state variable even though it may be technologically important in assessing the final product quality and manufacturing performance. The resulting expressions are presented in spatial setting and gradient based descent method utilizing the modified Levenberg-Marquardt scheme is used for the minimization of least square functional so as to obtain the best agreement between relevant experimental data and simulated data in a specified energy norm. The identification of a subset of material parameters of the cap model for stainless steel powder compaction is performed. The obtained parameters are validated through a simulation of an industrial part manufacturing case. A very good agreement between simulated final density and measured density is obtained thus demonstrating the practical usefulness of the proposed approach. (author)
Howard, A; Warwick, J
2016-01-01
Mathematical anxiety is a phenomenon linked to poor attainment in mathematics and restricted development of mathematical skills among those who are afflicted by it. Unfortunately most undergraduate courses in business related areas require the further study of mathematics to enable effective business decision making and students who suffer from mathematical anxiety are placed at risk of underperformance or failure in such quantitative modules. This paper summarizes the results of ...
Mathematical Modeling of Nitrous Oxide Production during Denitrifying Phosphorus Removal Process.
Liu, Yiwen; Peng, Lai; Chen, Xueming; Ni, Bing-Jie
2015-07-21
A denitrifying phosphorus removal process undergoes frequent alternating anaerobic/anoxic conditions to achieve phosphate release and uptake, during which microbial internal storage polymers (e.g., Polyhydroxyalkanoate (PHA)) could be produced and consumed dynamically. The PHA turnovers play important roles in nitrous oxide (N2O) accumulation during the denitrifying phosphorus removal process. In this work, a mathematical model is developed to describe N2O dynamics and the key role of PHA consumption on N2O accumulation during the denitrifying phosphorus removal process for the first time. In this model, the four-step anoxic storage of polyphosphate and four-step anoxic growth on PHA using nitrate, nitrite, nitric oxide (NO), and N2O consecutively by denitrifying polyphosphate accumulating organisms (DPAOs) are taken into account for describing all potential N2O accumulation steps in the denitrifying phosphorus removal process. The developed model is successfully applied to reproduce experimental data on N2O production obtained from four independent denitrifying phosphorus removal study reports with different experimental conditions. The model satisfactorily describes the N2O accumulation, nitrogen reduction, phosphate release and uptake, and PHA dynamics for all systems, suggesting the validity and applicability of the model. The results indicated a substantial role of PHA consumption in N2O accumulation due to the relatively low N2O reduction rate by using PHA during denitrifying phosphorus removal.
A three-phase comprehensive mathematical model of desulfurization in electroslag remelting process
Wang, Qiang; Li, Guangqiang; He, Zhu; Li, Baokuan
2017-01-01
Highlights: • First developed a three-phase coupled model of desulfurization in ESR process. • The MHD thermal flow in the reactor was clarified. • Distributions of sulfur concentration in the three phases were demonstrated. • An experiment was carried out to validate the simulation. - Abstract: A three-phase comprehensive mathematical model has been established to study the desulfurization behavior in electroslag remelting (ESR) process. The solutions of the mass, momentum, energy, and species conservation equations were simultaneously calculated by the finite volume method. The Joule heating and Lorentz force were fully coupled through solving the Maxwell’s equations with the assistance of the magnetic potential vector. The movements of the air-slag and slag-metal interfaces were described by the volume of fluid (VOF) approach. In order to include the influences of the air, the slag and the electric current on the desulfurization, a thermodynamic and kinetic module was introduced. An experiment was conducted to validate the model. The completely comparison between the measured and simulated data indicates that the model can describe the desulfurization behavior in the ESR process with an acceptable accuracy. The sulfur in the metal would be transferred into the slag under the combined effect of the slag treatment and the electrochemical reaction, and is primarily achieved in the period of the droplet formation. The sulfur in the slag then could be transferred into the air because of the oxidation. The maximum calculated removal ratio in the whole process is around 88%.
Numerical study of a mathematical model of internal erosion of soil
Sibin, A.
2017-10-01
The process of internal erosion in a three-phase saturated soil is studied. A mathematical model describing the process consists of the equations of mass conservation, Darcy’s law and equation for capillary pressure. The original system of equations is reduced to a system of three equations for porosity, pressure and water saturation. Obtained equation for the water saturation is degenerate. The degenerate problem in an one-dimensional domain is solved numerically using the finite-difference method.
Houston, A.S.; Macleod, M.A.
1977-01-01
Several computer assisted processing and display methods are evaluated using a series of 100 normal brain scintigrams, 50 of which have had single 'mathematical tumours' superimposed. Using a standard rating system, or in some cases quantitative estimation, LROC curves are generated for each method and compared. (author)
Managing of the baking bread process based on mathematical model of change crust color dynamics
V. K. Bitjukov
2013-01-01
Full Text Available In this article a support system of making decision about control of baking process of bread on the basis of estimating the quality ( the colors of the product surface and the mathematical model of the dynamics of change in this indicator is offered.
MATHEMATICAL SIMULATION OF ARGON MIXING PROCESSES AND STEEL SATURATION WITH CARBON IN LADLE
A. N. Chichko
2006-01-01
Full Text Available The mathematical model for dissolution process of a powder material in steel melt is proposed in the paper. The model permits to take into account mixing hydrodynamics on the basis of the Navier-Stokes equations. One of the industrial out-of-furnace treatment schemes taken as an example demonstrates the opportunities to model a carbon dissolution in a ladle.
Mathematical Model of Induction Heating Processes in Axial Symmetric Inductor-Detail Systems
Maik Streblau
2014-05-01
Full Text Available The wide variety of models for analysis of processes in the inductor-detail systems makes it necessary to summarize them. This is a difficult task because of the variety of inductor-detail system configurations. This paper aims to present a multi physics mathematical model for complex analysis of electromagnetic and thermal fields in axial symmetric systems inductor-detail.
S. P. Halutin
2014-01-01
Full Text Available Mathematical models in the electrical parameters of physico-chemical processes in lithium-ion batteries are developed. The developed model parameters (discharge mode are identified out of family of discharging curve. By using of the parameters of this model we get the numerically model of lithium-ion battery.
Hyde, D C; Berteletti, I; Mou, Y
2016-01-01
Humans have the ability to nonverbally represent the approximate numerosity of sets of objects. The cognitive system that supports this ability, often referred to as the approximate number system (ANS), is present in early infancy and continues to develop in precision over the life span. It has been proposed that the ANS forms a foundation for uniquely human symbolic number and mathematics learning. Recent work has brought two types of evidence to bear on the relationship between the ANS and human mathematics: correlational studies showing individual differences in approximate numerical abilities correlate with individual differences in mathematics achievement and experimental studies showing enhancing effects of nonsymbolic approximate numerical training on exact, symbolic mathematical abilities. From this work, at least two accounts can be derived from these empirical data. It may be the case that the ANS and mathematics are related because the cognitive and brain processes responsible for representing numerical quantity in each format overlap, the Representational Overlap Hypothesis, or because of commonalities in the cognitive operations involved in mentally manipulating the representations of each format, the Operational Overlap hypothesis. The two hypotheses make distinct predictions for future work to test. © 2016 Elsevier B.V. All rights reserved.
Uaychai Sukanalam
2017-09-01
Full Text Available This research study aimed to: 1 investigate problems and needs for the learning management that helps increase capacities of mathematics teachers at the lower-secondary level, 2 develop a teacher competency enhancement model based on the coaching processes to enhance mathematical reasoning abilities of lower-secondary students, 3 find out the educational supervisors’ opinions on the model designed. The samples of the study comprised 212 mathematics teachers at the lower-secondary level from 60 schools under jurisdiction of the Office of Secondary Educational Service Area 27, who were selected through the simple random sampling technique ; and 201 educational supervisors in charge of the mathematics learning strand from 42 educational service areas, who were selected through the purposive sampling technique. This study was conducted in the academic year 2015. The research instruments included: 1 a teacher competency enhancement manual that illustrated the steps and procedures for increasing the teacher’s capacities based on the coaching processes in order to enhance mathematical reasoning abilities of lower-secondary students, 2 a survey on problems and needs for the learning management to enhance capacities of mathematics teachers at the lower-secondary level, 3 A questionnaire concerning the educational supervisor’s opinion on the model designed. The statistics used included percentage, mean, and standard deviation. The study results showed that: 1. According to the study and analysis of basic data, problems and needs, it was found that the needs for increasing capacities of mathematics teachers at the lower-secondary level was overall at the high level. In terms of identifying behaviors as “mathematical competencies”, there were some problems associated with thinking and reasoning abilities of the teachers, and their needs in developing the learning management were at the highest level. To solve such problems, it is suggested that
The ‘hit’ phenomenon: a mathematical model of human dynamics interactions as a stochastic process
Ishii, Akira; Arakaki, Hisashi; Matsuda, Naoya; Umemura, Sanae; Urushidani, Tamiko; Yamagata, Naoya; Yoshida, Narihiko
2012-06-01
A mathematical model for the ‘hit’ phenomenon in entertainment within a society is presented as a stochastic process of human dynamics interactions. The model uses only the advertisement budget time distribution as an input, and word-of-mouth (WOM), represented by posts on social network systems, is used as data to make a comparison with the calculated results. The unit of time is days. The WOM distribution in time is found to be very close to the revenue distribution in time. Calculations for the Japanese motion picture market based on the mathematical model agree well with the actual revenue distribution in time.
Cambridge Conference on School Mathematics, Newton, MA.
These materials were written with the aim of reflecting the thinking of Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics K-6. In view of the experiences of other curriculum groups and of the general discussions since 1963, the present report initiates the next step in evolving the "Goals".…
吉岡, 睦美; 重松, 敬一
2015-01-01
In this paper, we discuss the case study of mathematics education for Junior High School students' learning processes focusing students' metacognition and knowledge using 'Reflective Sheet' (the Math Journal) et al.. The metacognition is rather than direct action on the environment and the perception that target cognitive function and cognitive recognition of that, and say what happens in the mind. Especially, we use Reflective Sheet which is formed to check students' cognitive and metacognit...
A study of the Teachers` Academy for Mathematics and Science
Brett, B.; Scheirer, M.A.; Raizen, S.
1994-09-15
The Teachers` Academy for Mathematics and Science in Chicago (TAMS) is a freestanding institution founded in 1989 by scientists and a variety of other stakeholders, to advance the systemic reform of mathematics and science education in Chicago`s public schools. It focuses on the ``re-tooling`` of its elementary level teachers. The TAMS program, which has been funded in part by the DOE, contributes to strategic goals two through five of the Office of University and Science Education (OUSE). This evaluation of TAMS by the National Center for Improving Science Education is primarily a qualitative study that summarizes the history and current status of the organization and its programs. Data was obtained through extensive interviews, observations, and document review, using a framework of templates to guide data collection and analyses. The findings are organized around a series of lessons learned from the first three years of TAMS and conclusions about its current status.
A student's guide to the study, practice, and tools of modern mathematics
Bindner, Donald
2010-01-01
A Student's Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities.The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform
One possible method of mathematical modeling of turbulent transport processes in plasma
Skvortsova, Nina N.; Batanov, German M.; Petrov, Alexander E.; Pshenichnikov, Anton A.; Sarksyan, Karen A.; Kharchev, Nikolay K.; Bening, Vladimir E.; Korolev, Victor Yu.
2003-01-01
It is proposed to use the mathematical modeling of the increments of fluctuating plasma variables to analyzing the probability characteristics of turbulent transport processes in plasma. It is shown that, in plasma of the L-2M stellarator and the TAU-1 linear device, the increments of the process of local fluctuating particle flux are stochastic in nature and their distribution is a scale mixture of Gaussians. (author)
Titov, V.F.; Zorin, V.M.; Gorburov, V.I. [OKB Gidropress, Moscow Energy Inst. (Russian Federation)
1995-12-31
On the basis of mathematical models describing the processes in horizontal steam generator (SG) the code giving the possibility to calculate the hydrodynamical characteristics in any point of water volume, has been developed. The code simulates the processes in SG in the stationary (or quasi-stationary) mode or operation only. The code may be used as a next step to calculations of the SG characteristics in the non-stationary modes of operation.
The human body metabolism process mathematical simulation based on Lotka-Volterra model
Oliynyk, Andriy; Oliynyk, Eugene; Pyptiuk, Olexandr; DzierŻak, RóŻa; Szatkowska, Małgorzata; Uvaysova, Svetlana; Kozbekova, Ainur
2017-08-01
The mathematical model of metabolism process in human organism based on Lotka-Volterra model has beeng proposed, considering healing regime, nutrition system, features of insulin and sugar fragmentation process in the organism. The numerical algorithm of the model using IV-order Runge-Kutta method has been realized. After the result of calculations the conclusions have been made, recommendations about using the modeling results have been showed, the vectors of the following researches are defined.
Titov, V F; Zorin, V M; Gorburov, V I [OKB Gidropress, Moscow Energy Inst. (Russian Federation)
1996-12-31
On the basis of mathematical models describing the processes in horizontal steam generator (SG) the code giving the possibility to calculate the hydrodynamical characteristics in any point of water volume, has been developed. The code simulates the processes in SG in the stationary (or quasi-stationary) mode or operation only. The code may be used as a next step to calculations of the SG characteristics in the non-stationary modes of operation.
Głuszcz, Paweł; Petera, Jerzy; Ledakowicz, Stanisław
2010-01-01
The mathematical model of the integrated process of mercury contaminated wastewater bioremediation in a fixed-bed industrial bioreactor is presented. An activated carbon packing in the bioreactor plays the role of an adsorbent for ionic mercury and at the same time of a carrier material for immobilization of mercury-reducing bacteria. The model includes three basic stages of the bioremediation process: mass transfer in the liquid phase, adsorption of mercury onto activated carbon and ionic me...
Development of a Mathematical Model for Multivariate Process by Balanced Six Sigma
Díaz-Castellanos Elizabeth Eugenia
2015-07-01
Full Text Available The Six Sigma methodology is widely used in business to improve quality, increase productivity and lower costs, impacting on business improvement. However, today the challenge is to use those tools for improvements that will have a direct impact on the differentiation of value, which requires the alignment of Six Sigma with the competitive strategies of the organization.Hence the importance of a strategic management system to measure, analyze, improve and control corporate performance, while setting out responsibilities of leadership and commitment. The specific purpose of this research is to provide a mathematical model through the alignment of strategic objectives (Balanced Scorecard and tools for productivity improvement (Six Sigma for processes with multiple answers, which is sufficiently robust so that it can serve as basis for application in manufacturing and thus effectively link strategy performance and customer satisfaction. Specifically we worked with a case study: Córdoba, Ver. The model proposes that is the strategy, performance and customer satisfaction are aligned, the organization will benefit from the intense relationship between process performance and strategic initiatives. These changes can be measured by productivity and process metrics such as cycle time, production rates, production efficiency and percentage of reprocessing, among others.
Gullick, Margaret M.; Sprute, Lisa A.; Temple, Elise
2011-01-01
Individual differences in mathematics performance may stem from domain-general factors like working memory and intelligence. Parietal and frontal brain areas have been implicated in number processing, but the influence of such cognitive factors on brain activity during mathematics processing is not known. The relationship between brain mechanisms…
Ataei, Sh; Mahmud, Z; Khalid, M N
2014-01-01
The students learning outcomes clarify what students should know and be able to demonstrate after completing their course. So, one of the issues on the process of teaching and learning is how to assess students' learning. This paper describes an application of the dichotomous Rasch measurement model in measuring the cognitive process of engineering students' learning of mathematics. This study provides insights into the perspective of 54 engineering students' cognitive ability in learning Calculus III based on Bloom's Taxonomy on 31 items. The results denote that some of the examination questions are either too difficult or too easy for the majority of the students. This analysis yields FIT statistics which are able to identify if there is data departure from the Rasch theoretical model. The study has identified some potential misfit items based on the measurement of ZSTD where the removal misfit item was accomplished based on the MNSQ outfit of above 1.3 or less than 0.7 logit. Therefore, it is recommended that these items be reviewed or revised to better match the range of students' ability in the respective course.
Revitalising Mathematics Classroom Teaching through Lesson Study (LS): A Malaysian Case Study
Lim, Chap Sam; Kor, Liew Kee; Chia, Hui Min
2016-01-01
This paper discusses how implementation of Lesson Study (LS) has brought about evolving changes in the quality of mathematics classroom teaching in one Chinese primary school. The Japanese model of LS was adapted as a teacher professional development to improve mathematics teachers' teaching practices. The LS group consisted of five mathematics…
Program controlled system for mathematical processing the αp-experiment data
Glagolev, V.V.; Govorun, N.N.; Dirner, A.; Ivanov, V.G.; Kretov, A.P.; Mirolyubov, V.P.; Pervushov, V.V.; Shelontsev, I.I.
1982-01-01
ZEUS system which allows one mathematical processing of bubble chamber pictures for αp-experiment with computer control is descibed. The comparison and basic defect of traditional processing of film information is considered. The structure, operation and further development of this system are described. It consists of the monitoring programs, directory file, input request language, data bank and documentation. ZEUS system is developed for processing αp-experiment from JINR one-meter-hydrogen liquid chamber. It makes possible to eliminate big manual work at organization of mass data processing by a computer. The system is realized on the CDC-6500 computer
Gesture analysis of students' majoring mathematics education in micro teaching process
Maldini, Agnesya; Usodo, Budi; Subanti, Sri
2017-08-01
In the process of learning, especially math learning, process of interaction between teachers and students is certainly a noteworthy thing. In these interactions appear gestures or other body spontaneously. Gesture is an important source of information, because it supports oral communication and reduce the ambiguity of understanding the concept/meaning of the material and improve posture. This research which is particularly suitable for an exploratory research design to provide an initial illustration of the phenomenon. The goal of the research in this article is to describe the gesture of S1 and S2 students of mathematics education at the micro teaching process. To analyze gesture subjects, researchers used McNeil clarification. The result is two subjects using 238 gesture in the process of micro teaching as a means of conveying ideas and concepts in mathematics learning. During the process of micro teaching, subjects using the four types of gesture that is iconic gestures, deictic gesture, regulator gesturesand adapter gesture as a means to facilitate the delivery of the intent of the material being taught and communication to the listener. Variance gesture that appear on the subject due to the subject using a different gesture patterns to communicate mathematical ideas of their own so that the intensity of gesture that appeared too different.
Mathematics for physicists and engineers fundamentals and interactive study guide
Weltner, Klaus; Grosjean, Jean; Schuster, Peter
2009-01-01
Mathematics is the basic language in physics and engineering. It is an essential tool which first and second year students have to master as soon as possible. A lack of competence in mathematics is the main reason for failure and drop out in the beginning periods of study. This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at extras.springer.com. This study guide divides the whole learning task into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with the study guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowly rising the students gain confidence and experience their own progre...
Assessment of Students' Mathematical Competency, a case Study in ...
*Department of mathematics, Dire-Dawa University Ethiopia, e-mail: ... Statistics. Unless the university mathematical competency of these students reaches the desired level, any effort to ..... Applications of Derivative. • Partial Derivatives.
Palmér, Hanna; Henriksson, Jenny; Hussein, Rania
2016-01-01
In recent years the interest in preschool mathematics has increased. However, studies seldom focus on children under the age of three and research is scarce on the early use of mathematics observed in natural settings. This article reports a study of mathematical possibilities during diaper changing in a preschool setting. A diaper change can be a…
Kollosche, David
2016-01-01
Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the…
The Turkish Adaptation of the Mathematical Resilience Scale: Validity and Reliability Study
Gürefe, Nejla; Akçakin, Veysel
2018-01-01
Persistent in mathematical studies is an important element allowing students to be successful in their STEM careers, and there is a need for affective measurement instruments to assess persistence in mathematics in spite of problems. For this reason, this study aims to adapt the Mathematical Resilience Scale developed to assess resilience, which…
A Content Analysis Study about the Usage of History of Mathematics in Textbooks in Turkey
Eren, Mehmet; Bulut, Mehmet; Bulut, Neslihan
2015-01-01
The present study aimed to investigate how history of mathematics was integrated to some mathematics textbooks in Turkey. On this account, four different textbooks with different grade levels were chosen. In total, 42 cases were detected and studied by three researchers. Results indicated that the usage of history of mathematics was materialized…
Mathematical model development of heat and mass exchange processes in the outdoor swimming pool
M. V. Shaptala
2014-12-01
Full Text Available Purpose. Currently exploitation of outdoor swimming pools is often not cost-effective and, despite of their relevance, such pools are closed in large quantities. At this time there is no the whole mathematical model which would allow assessing qualitatively the effect of energy-saving measures. The aim of this work is to develop a mathematical model of heat and mass exchange processes for calculating basic heat and mass losses that occur during its exploitation. Methodology. The method for determination of heat and mass loses based on the theory of similarity criteria equations is used. Findings. The main types of heat and mass losses of outdoor pool were analyzed. The most significant types were allocated and mathematically described. Namely: by evaporation of water from the surface of the pool, by natural and forced convection, by radiation to the environment, heat consumption for water heating. Originality. The mathematical model of heat and mass exchange process of the outdoor swimming pool was developed, which allows calculating the basic heat and mass loses that occur during its exploitation. Practical value. The method of determining heat and mass loses of outdoor swimming pool as a software system was developed and implemented. It is based on the mathematical model proposed by the authors. This method can be used for the conceptual design of energy-efficient structures of outdoor pools, to assess their use of energy-intensive and selecting the optimum energy-saving measures. A further step in research in this area is the experimental validation of the method of calculation of heat losses in outdoor swimming pools with its use as an example the pool of Dnipropetrovsk National University of Railway Transport named after Academician V. Lazaryan. The outdoor pool, with water heating- up from the boiler room of the university, is operated year-round.
Standards for Reporting Mathematics Professional Development in Research Studies
Sztajn, Paola
2011-01-01
This Research Commentary addresses the need for standards for describing mathematics professional development in mathematics education research reports. Considering that mathematics professional development is an emerging research field, it is timely to set expectations for what constitutes high-quality reporting in this field. (Contains 2 tables.)
Mathematics for physicists and engineers fundamentals and interactive study guide
Weltner, Klaus; Weber, Wolfgang J; Schuster, Peter; Grosjean, Jean
2014-01-01
This textbook offers an accessible and highly approved approach which is characterized by the combination of the textbook with a detailed study guide available online at our repository extras.springer.com. This study guide divides the whole learning task into small units which the student is very likely to master successfully. Thus he or she is asked to read and study a limited section of the textbook and to return to the study guide afterwards. Working with the study guide his or her learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. Since the degree of difficulties is slowly rising the students gain confidence and experience their own progress in mathematical competence thus fostering motivation. Furthermore in case of learning difficulties he or she is given supplementary explanations and in case of individual needs supplementary exercises and applications. So the sequence of the studies is ind...
Park, H.H.; Han, K.W.; Ahn, S.J.; Choi, K.S.; Lee, M.W.; Ryu, Y.K.
1985-01-01
In the cementation process study, in 1984, design of the waste treatment simulator was finished for the first step. We can experience not only the operation of solidification system but the design and construction of comming large scale plant through the design of cementation process. (Author)
Application of mathematical statistics methods to study fluorite deposits
Chermeninov, V.B.
1980-01-01
Considered are the applicability of mathematical-statistical methods for the increase of reliability of sampling and geological tasks (study of regularities of ore formation). Compared is the reliability of core sampling (regarding the selective abrasion of fluorite) and neutron activation logging for fluorine. The core sampling data are characterized by higher dispersion than neutron activation logging results (mean value of variation coefficients are 75% and 56% respectively). However the hypothesis of the equality of average two sampling is confirmed; this fact testifies to the absence of considerable variability of ore bodies
Tashchilova, Eh.M.; Sharovarov, G.A.
1985-01-01
The mathematical model of nonstationary processes in heat exchangers with dissociating coolant at supercritical parameters is given. Its dimensionless criteria are deveped. The effect of NPP regenerator parameters on criteria variation is determined. The proceeding nonstationary processes are estimated qualitatively using the dimensionless parameters. Dynamics of the processes in heat exchangers is described by the energy, mass and moment-of-momentum equations for heating and heated medium taking into account heat accumulation in the heat-transfer wall and distribution of parameters along the length of a heat exchanger
Mathematical modelling of thermal and flow processes in vertical ground heat exchangers
Pater Sebastian
2017-12-01
Full Text Available The main task of mathematical modelling of thermal and flow processes in vertical ground heat exchanger (BHE-Borehole Heat Exchanger is to determine the unit of borehole depth heat flux obtainable or transferred during the operation of the installation. This assignment is indirectly associated with finding the circulating fluid temperature flowing out from the U-tube at a given inlet temperature of fluid in respect to other operational parameters of the installation.
Mathematical Modeling of Resonant Processes in Confined Geometry of Atomic and Atom-Ion Traps
Melezhik, Vladimir S.
2018-02-01
We discuss computational aspects of the developed mathematical models for resonant processes in confined geometry of atomic and atom-ion traps. The main attention is paid to formulation in the nondirect product discrete-variable representation (npDVR) of the multichannel scattering problem with nonseparable angular part in confining traps as the boundary-value problem. Computational efficiency of this approach is demonstrated in application to atomic and atom-ion confinement-induced resonances we predicted recently.
Ali, S.; Rahman, S.U.; Khan, M.M.
2007-01-01
Mathematical models were developed to give an insight into the effect of process variables, propylxanthae (X/sub 1/ g/ton), pH (X/sub 2/), sodium sulphide (X3 g/ton) and sodium cyanide (X/sub 4/ g/ton), on the recovery (YR) of copper. The optimum recovery (YR) 62.95%, was obtained at X/sub 4/=60g/ton. (author)
Rutherford, Vanessa
2012-01-01
This study explores how a problem-solving based professional learning community (PLC) affects the beliefs, knowledge, and instructional practices of two sixth-grade mathematics teachers. An interview and two observations were conducted prior to beginning the year-long PLC in order to gather information about the participants' beliefs,…
Bas, Fatih
2016-01-01
This study aims to observe the pre-service secondary mathematics teachers' metacognitive awareness in terms of the variables gender and class level and determine their metacognitive behaviours which showed in the non-routine problems. A partially mixed sequential dominant status design was carried out with a total of 287 participants. The data of…
Anne C Skeldon
Full Text Available Sleep is essential for the maintenance of the brain and the body, yet many features of sleep are poorly understood and mathematical models are an important tool for probing proposed biological mechanisms. The most well-known mathematical model of sleep regulation, the two-process model, models the sleep-wake cycle by two oscillators: a circadian oscillator and a homeostatic oscillator. An alternative, more recent, model considers the mutual inhibition of sleep promoting neurons and the ascending arousal system regulated by homeostatic and circadian processes. Here we show there are fundamental similarities between these two models. The implications are illustrated with two important sleep-wake phenomena. Firstly, we show that in the two-process model, transitions between different numbers of daily sleep episodes can be classified as grazing bifurcations. This provides the theoretical underpinning for numerical results showing that the sleep patterns of many mammals can be explained by the mutual inhibition model. Secondly, we show that when sleep deprivation disrupts the sleep-wake cycle, ostensibly different measures of sleepiness in the two models are closely related. The demonstration of the mathematical similarities of the two models is valuable because not only does it allow some features of the two-process model to be interpreted physiologically but it also means that knowledge gained from study of the two-process model can be used to inform understanding of the behaviour of the mutual inhibition model. This is important because the mutual inhibition model and its extensions are increasingly being used as a tool to understand a diverse range of sleep-wake phenomena such as the design of optimal shift-patterns, yet the values it uses for parameters associated with the circadian and homeostatic processes are very different from those that have been experimentally measured in the context of the two-process model.
A new mathematical process for the calculation of average forms of teeth.
Mehl, A; Blanz, V; Hickel, R
2005-12-01
Qualitative visual inspections and linear metric measurements have been predominant methods for describing the morphology of teeth. No quantitative formulation exists for the description of dental features. The aim of this study was to determine and validate a mathematical process for calculation of the average form of first maxillary molars, including the general occlusal features. Stone replicas of 174 caries-free first maxillary molar crowns from young patients ranging from 6 to 9 years of age were measured 3-dimensionally with a laser scanning system at a resolution of approximately 100,000 points. Then, the average tooth was computed, which captured the common features of the molar's surface quantitatively. This new method adapts algorithms both from computer science and neuroscience to detect and associate the same features and same surface points (correspondences) between 1 reference tooth and all other teeth. In this study, the method was tested for 7 different reference teeth. The algorithm does not involve any prior knowledge about teeth and their features. Irrespective of the reference tooth used, the procedure yielded average teeth that showed nearly no differences (less than +/-30 microm). This approach provides a valid quantitative process for calculating 3-dimensional (3D) averages of occlusal surfaces of teeth even in the event of a high number of digitized surface points. Additionally, because this process detects and assigns point-wise feature correspondences between all library teeth, it may also serve as a basis for a more substantiated principal component analysis evaluating the main natural shape deviations from the 3D average.
Mathematical modeling of nitrous oxide production in an anaerobic/oxic/anoxic process.
Ding, Xiaoqian; Zhao, Jianqiang; Hu, Bo; Chen, Ying; Ge, Guanghuan; Li, Xiaoling; Wang, Sha; Gao, Kun; Tian, Xiaolei
2016-12-01
This study incorporates three currently known nitrous oxide (N 2 O) production pathways: ammonium-oxidizing bacteria (AOB) denitrification, incomplete hydroxylamine (NH 2 OH) oxidation, and heterotrophic denitrification on intracellular polymers, into a mathematical model to describe N 2 O production in an anaerobic/oxic/anoxic (AOA) process for the first time. The developed model was calibrated and validated by four experimental cases, then evaluated by two independent anaerobic/aerobic (AO) studies from literature. The modeling results displayed good agreement with the measured data. N 2 O was primarily generated in the aerobic stage by AOB denitrification (67.84-81.64%) in the AOA system. Smaller amounts of N 2 O were produced via incomplete NH 2 OH oxidation (15.61-32.17%) and heterotrophic denitrification on intracellular polymers (0-12.47%). The high nitrite inhibition on N 2 O reductase led to the increased N 2 O accumulation in heterotrophic denitrification on intracellular polymers. The new model was capable of modeling nitrification-denitrification dynamics and heterotrophic denitrification on intracellular polymers in the AOA system. Copyright © 2016 Elsevier Ltd. All rights reserved.
Mathematical and computational modeling and simulation fundamentals and case studies
Moeller, Dietmar P F
2004-01-01
Mathematical and Computational Modeling and Simulation - a highly multi-disciplinary field with ubiquitous applications in science and engineering - is one of the key enabling technologies of the 21st century. This book introduces to the use of Mathematical and Computational Modeling and Simulation in order to develop an understanding of the solution characteristics of a broad class of real-world problems. The relevant basic and advanced methodologies are explained in detail, with special emphasis on ill-defined problems. Some 15 simulation systems are presented on the language and the logical level. Moreover, the reader can accumulate experience by studying a wide variety of case studies. The latter are briefly described within the book but their full versions as well as some simulation software demos are available on the Web. The book can be used for University courses of different level as well as for self-study. Advanced sections are marked and can be skipped in a first reading or in undergraduate courses...
Students, Computers and Mathematics the Golden Trilogy in the Teaching-Learning Process
García-Santillán, Arturo; Escalera-Chávez, Milka Elena; López-Morales, José Satsumi; Córdova Rangel, Arturo
2014-01-01
In this paper we examine the relationships between students' attitudes towards mathematics and technology, therefore, we take a Galbraith and Hines' scale (1998, 2000) about mathematics confidence, computer confidence, computer and mathematics interaction, mathematics motivation, computer motivation, and mathematics engagement. 164 questionnaires…
Teacher Mathematical Literacy: Case Study of Junior High School Teachers in Pasaman
Ahmad, D.; Suherman, S.; Maulana, H.
2018-04-01
The aim of this paper was to examine the ability of junior high school mathematics teachers to solve mathematical literacy base Problems (PISA and PISA-like problems) for the case Pasaman regency. The data was collected by interviews and test. As the results of this study, teacher ability in solving mathematical literacy base problems for level 1 until 3 has been good, but for level 4 or above is still low. It is caused by teacher knowledge about mathematical literacy still few.
Unraveling the Culture of the Mathematics Classroom: A Video-Based Study in Sixth Grade
Depaepe, Fien; De Corte, Erik; Verschaffel, Lieven
2007-01-01
Changing perspectives on mathematics teaching and learning resulted in a new generation of mathematics textbooks, stressing among others the importance of mathematical reasoning and problem-solving skills and their application to real-life situations. The article reports a study that investigates to what extent the reform-based ideas underlying…
Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study
Hjalmarson, Margret A.
2017-01-01
This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…
A Categorization Model for Educational Values of the History of Mathematics: An Empirical Study
Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke
2017-01-01
There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…
Carmichael, Colin
2014-01-01
With reports of declining participation in mathematics related careers and low female participation rates, the issue of gender differences in mathematics remains relevant. This study seeks to examine the relationship between: children's sex, parents' beliefs regarding their children's education, and, the children's mathematics performance. Through…
Heine, Angela; Wissmann, Jacqueline; Tamm, Sascha; De Smedt, Bert; Schneider, Michael; Stern, Elsbeth; Verschaffel, Lieven; Jacobs, Arthur M
2013-09-01
The aim of the present study was to probe electrophysiological effects of non-symbolic numerical processing in 20 children with mathematical learning disabilities (mean age = 99.2 months) compared to a group of 20 typically developing matched controls (mean age = 98.4 months). EEG data were obtained while children were tested with a standard non-symbolic numerical comparison paradigm that allowed us to investigate the effects of numerical distance manipulations for different set sizes, i.e., the classical subitizing, counting and estimation ranges. Effects of numerical distance manipulations on event-related potential (ERP) amplitudes as well as activation patterns of underlying current sources were analyzed. In typically developing children, the amplitudes of a late parietal positive-going ERP component showed systematic numerical distance effects that did not depend on set size. For the group of children with mathematical learning disabilities, ERP distance effects were found only for stimuli within the subitizing range. Current source density analysis of distance-related group effects suggested that areas in right inferior parietal regions are involved in the generation of the parietal ERP amplitude differences. Our results suggest that right inferior parietal regions are recruited differentially by controls compared to children with mathematical learning disabilities in response to non-symbolic numerical magnitude processing tasks, but only for stimuli with set sizes that exceed the subitizing range. Copyright © 2012 Elsevier Ltd. All rights reserved.
Developing a Study Orientation Questionnaire in Mathematics for primary school students.
Maree, Jacobus G; Van der Walt, Martha S; Ellis, Suria M
2009-04-01
The Study Orientation Questionnaire in Mathematics (Primary) is being developed as a diagnostic measure for South African teachers and counsellors to help primary school students improve their orientation towards the study of mathematics. In this study, participants were primary school students in the North-West Province of South Africa. During the standardisation in 2007, 1,013 students (538 boys: M age = 12.61; SD = 1.53; 555 girls: M age = 11.98; SD = 1.35; 10 missing values) were assessed. Factor analysis yielded three factors. Analysis also showed satisfactory reliability coefficients and item-factor correlations. Step-wise linear regression indicated that three factors (Mathematics anxiety, Study attitude in mathematics, and Study habits in mathematics) contributed significantly (R2 = .194) to predicting achievement in mathematics as measured by the Basic Mathematics Questionnaire (Primary).
Cristian F. Costa
2016-06-01
Full Text Available ABSTRACT Jabuticaba is a fruit native of Brazil and, besides containing many nutritional qualities, it also has a good field for use in products such as flour for cakes and biscuits, juice, liqueur, jelly and others. This study aimed to model the drying kinetics and determine the thermodynamic properties of jabuticaba peel at different drying air temperatures. Ripe fruits of jabuticaba (Myrciaria jaboticaba were collected and pulped manually. Drying was carried out in a forced-air circulation oven with a flow of 5.6 m s-1 at temperatures of 40, 50, 60 and 70 °C. Six mathematical models commonly used to represent the drying process of agricultural products were fitted to the experimental data. The Arrhenius model was used to represent the drying constant as a function of temperature. The Midilli model showed the best fit to the experimental data of drying. The drying constant increased with the increment in drying temperature and promoted an activation energy of 37.29 kJ mol-1. Enthalpy and Gibbs free energy decreased with the increase in drying temperature, while entropy decreased and was negative.
Vasilyeva, N. V.; Koteleva, N. I.; Fedorova, E. R.
2018-05-01
The relevance of the research is due to the need to stabilize the composition of the melting products of copper-nickel sulfide raw materials in the Vanyukov furnace. The goal of this research is to identify the most suitable methods for the aggregation of the real time data for the development of a mathematical model for control of the technological process of melting copper-nickel sulfide raw materials in the Vanyukov furnace. Statistical methods of analyzing the historical data of the real technological object and the correlation analysis of process parameters are described. Factors that exert the greatest influence on the main output parameter (copper content in matte) and ensure the physical-chemical transformations are revealed. An approach to the processing of the real time data for the development of a mathematical model for control of the melting process is proposed. The stages of processing the real time information are considered. The adopted methodology for the aggregation of data suitable for the development of a control model for the technological process of melting copper-nickel sulfide raw materials in the Vanyukov furnace allows us to interpret the obtained results for their further practical application.
A fuzzy mathematics model for radioactive waste characterization by process knowledge
Smith, M.; Stevens, S.; Elam, K.; Vrba, J.
1994-01-01
Fuzzy mathematics and fuzzy logic are means for making decisions that can integrate complicated combinations of hard and soft factors and produce mathematically validated results that can be independently verified. In this particular application, several sources of information regarding the waste stream have been compiled, including facility operating records, other waste generated from the facility in the past, laboratory analysis results, and interviews with facility personnel. A fuzzy mathematics model is used to interrelate these various sources of information and arrive at a defensible estimate of the contaminant concentration in the final waste product. The model accounts for the separate process knowledge-based contaminant concentrations by providing a weighted averaging technique to incorporate information from the various sources. Reliability estimates are provided for each of the component pieces of information and combined using the model into an estimate that provides a near-probabilistic value for contaminant concentration. The speadsheet accounts for the estimated uncertainty in the concentration on the basis of open-quotes reliability curves,close quotes which are derived from personal process knowledge as well as limited independent measurements
Jorma Joutsenlahti
2017-01-01
Full Text Available The purpose of this study is to present a multimodal languaging model for mathematics education. The model consists of mathematical symbolic language, a pictorial language, and a natural language. By applying this model, the objective was to study how 4th grade pupils (N = 21 understand the concept of division. The data was collected over six hours of teaching sessions, during which the pupils expressed their mathematical thinking mainly by writing and drawing. Their productions, as well as questionnaire after the process, were analyzed qualitatively. The results show that, in expressing the mathematical problem in verbal form, most of the students saw it as a division into parts. It was evident from the pupils’ texts and drawings that the mathematical expression of subtraction could be interpreted in three different ways. It was found that the pupils enjoyed using writing in the solution of word problems, and it is suggested that the use of different modes in expressing mathematical thinking may both strengthen the learning of mathematical concepts and support the evaluation of learning.
S. T. Antipov
2016-01-01
Full Text Available The basis for the creation of new designs dryers laid the mathematical description of the test process, taking into account the method of loading and handling of the product in the machine, how to supply coolant or other type of energy supply, the theoretical performance, and structural (geometric component of the apparatus. To simulate the process of our work was considered of cylindrical dryers with active hydrodynamic regime and microwave energy supply, one feature of which is the loading of the product in a stream tangential coolant flow. The object of the study was chosen millet grain, because of the high biological value and high prevalence in the southern regions of the Russian Federation. On the basis of theoretical analysis, it was decided to divide the mathematical model into two conditional components: the study of heat and mass transfer study of aerodynamic component of the drying process. In this paper, we have been disclosed in detail is the second part of the process. The basis of this model were the equations of motion of millet grains by Newton's second law. The coolant in the framework of the proposed model is considered to be a continuous medium, highly compressible and has an internal viscosity, described by the Navier-Stokes equations. The initial conditions of the mathematical model were the following assumptions: the speed of the mechanical motion elements are equal to zero, the initial density of the air environment in all nodes is the equilibrium density of the air, the initial velocity of the air quality in all nodes is zero. The boundary conditions can be described as the constancy of the flow temperature and humidity, and its displacement is directly design constraints of the drying chamber. This model will be useful for professionals engaged in the problems of calculation and design of drying equipment.
Artzt, Alice F.; Armour-Thomas, Eleanor
1998-01-01
Uses a "teaching as problem solving" perspective to examine the components of metacognition underlying the instructional practice of seven experienced and seven beginning secondary-school mathematics teachers. Data analysis of observations, lesson plans, videotapes, and audiotapes of structured interviews suggests that the metacognition of…
Zhang, Yu-Tian; Xiao, Mei-Feng; Deng, Kai-Wen; Yang, Yan-Tao; Zhou, Yi-Qun; Zhou, Jin; He, Fu-Yuan; Liu, Wen-Long
2018-06-01
Nowadays, to research and formulate an efficiency extraction system for Chinese herbal medicine, scientists have always been facing a great challenge for quality management, so that the transitivity of Q-markers in quantitative analysis of TCM was proposed by Prof. Liu recently. In order to improve the quality of extraction from raw medicinal materials for clinical preparations, a series of integrated mathematic models for transitivity of Q-markers in quantitative analysis of TCM were established. Buyanghuanwu decoction (BYHWD) was a commonly TCMs prescription, which was used to prevent and treat the ischemic heart and brain diseases. In this paper, we selected BYHWD as an extraction experimental subject to study the quantitative transitivity of TCM. Based on theory of Fick's Rule and Noyes-Whitney equation, novel kinetic models were established for extraction of active components. Meanwhile, fitting out kinetic equations of extracted models and then calculating the inherent parameters in material piece and Q-marker quantitative transfer coefficients, which were considered as indexes to evaluate transitivity of Q-markers in quantitative analysis of the extraction process of BYHWD. HPLC was applied to screen and analyze the potential Q-markers in the extraction process. Fick's Rule and Noyes-Whitney equation were adopted for mathematically modeling extraction process. Kinetic parameters were fitted and calculated by the Statistical Program for Social Sciences 20.0 software. The transferable efficiency was described and evaluated by potential Q-markers transfer trajectory via transitivity availability AUC, extraction ratio P, and decomposition ratio D respectively. The Q-marker was identified with AUC, P, D. Astragaloside IV, laetrile, paeoniflorin, and ferulic acid were studied as potential Q-markers from BYHWD. The relative technologic parameters were presented by mathematic models, which could adequately illustrate the inherent properties of raw materials
Ozdemir, S.; Reis, Z. Ayvaz
2013-01-01
Mathematics is an important discipline, providing crucial tools, such as problem solving, to improve our cognitive abilities. In order to solve a problem, it is better to envision and represent through multiple means. Multiple representations can help a person to redefine a problem with his/her own words in that envisioning process. Dynamic and…
Swars, Susan Lee
2015-01-01
This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…
Mathematical preliminaries for a study of waves in a plasma
Trocheris, M.
1965-01-01
This report contains the detailed proofs of mathematical results which are used in a study of the linear and 'quasi-linear' approximation for 'electrostatic' waves in a uniform plasma. Certain classes of functions of a complex variable, which are analytic in a strip parallel to the real axis, are defined and studied. In particular, properties of convergence of a sequence and of continuity with respect to a parameter are established for functions remaining inside one such class. The results are used to prove an existence theorem for the simplest equation in the quasi-linear theory of plasma waves. A number of elementary lemmas are used in the text and proved in an appendix. (author) [fr
Smith, C.; Golding, J.
2015-01-01
Fewer girls than boys in England participate in post-compulsory mathematics and the recent increase in popularity of Mathematics and Further Mathematics (FM) at age 16 has not changed the gender balance. Previous studies have shown the significance to girls of their mathematics lessons and teachers, of discursive co-constructions of masculinity and mathematics, of the range of careers associated with mathematics and science, and family ‘science capital’. This study identifie...
Anna Howard
2017-01-01
Full Text Available Mathematical anxiety is a phenomenon linked to poor attainment in mathematics and restricted development of mathematical skills among those who are afflicted by it. Unfortunately most undergraduate courses in business related areas require the further study of mathematics to enable effective business decision making and students who suffer from mathematical anxiety are placed at risk of underperformance or failure in such quantitative modules. This paper summarizes the results of a survey (n = 330 of students joining a university business school with a view to ascertaining the degree of mathematical anxiety exhibited by incoming students. Results of the survey show no significant differences in anxiety attributable to age or gender but significant differences attributable to level of study and subject area. Implications of the findings for a redesigned teaching approach are discussed drawing on suggestions from the literature surrounding mathematical anxiety.
MacDonald, Amy; Carmichael, Colin
2017-11-01
International research suggests that early mathematical competence predicts later mathematical achievement. In this article, we explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and later results on Years 3, 5, 7 and 9 National Assessment Program - Literacy and Numeracy (NAPLAN) numeracy tests. Data from a nationally representative sample of 2343 children participating in the Longitudinal Study of Australian Children (LSAC) are examined. In line with international studies, we report moderate correlations between preschool-entry mathematics and later NAPLAN numeracy test results. However, analysis of individual growth trajectories indicates that early mathematics predicts the initial (Year 3) level, but not subsequent growth. This suggests that early mathematical competencies are important for enhancing achievement in early schooling, but that the quality of mathematics education provided in the schooling years is critical for future development.
The role of algae in agriculture: a mathematical study.
Tiwari, P K; Misra, A K; Venturino, Ezio
2017-06-01
Synthetic fertilizers and livestock manure are nowadays widely used in agriculture to improve crop yield but nitrogen and phosphorous runoff resulting from their use compromises water quality and contributes to eutrophication phenomena in waterbeds within the countryside and ultimately in the ocean. Alternatively, algae could play an important role in agriculture where they can be used as biofertilizers and soil stabilizers. To examine the possible reuse of the detritus generated by dead algae as fertilizer for crops, we develop three mathematical models building upon each other. A system is proposed in which algae recover waste nutrients (nitrogen and phosphorus) for reuse in agricultural production. The results of our study show that in so doing, the crop yield may be increased and simultaneously the density of algae in the lake may be reduced. This could be a way to mitigate and possibly solve the environmental and economic issues nowadays facing agriculture.
Evtushenko, V. F.; Myshlyaev, L. P.; Makarov, G. V.; Ivushkin, K. A.; Burkova, E. V.
2016-10-01
The structure of multi-variant physical and mathematical models of control system is offered as well as its application for adjustment of automatic control system (ACS) of production facilities on the example of coal processing plant.
[Probability, Cambridge Conference on School Mathematics Feasibility Study No. 7.
Davis, R.
These materials were written with the aim of reflecting the thinking of the Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. They represent a practical response to a proposal by CCSM that some elements of probability be introduced in the elementary grades. These materials provide children…
African Journal of Educational Studies in Mathematics and Sciences ...
Effects of mathematical game and instructional analogy as advance organizers on students' achievement in secondary school mathematics · EMAIL FREE FULL ... Family socio-economic status and its influences on adolescents perception of, and attitude to, HIV/AIDS prevention among secondary schools in Cross River ...
Investigating shape and space in mathematics: A case study | Kotze ...
Evidence was obtained regarding mathematics teachers' and mathematics learners' knowledge of space and shape. Problems experienced in concept formation in geometry were investigated and analysed. An account is provided of how teachers and learners responded to problems related to space and shape.
Vladimir N. Vodyakov
2017-12-01
Full Text Available Introduction: Mathematical modeling allows assigning optimal parameters for the process of compression molding of plates and calculating the dimensions of the mold without costly and long-term experiments. The options ensure the required precision of pressing. The disadvantages of the known models are the assumptions about the process isothermicity and independence of the thermal-physical coefficients from temperature. The models do not take into account the dependence of the pressure in the cavity of the mold on the excess of the melt; the problem of calculating the dimensions of the mold cavity for given plate dimensions is not posed. The known models do not give a complete description of all stages of the process. The aim of this paper is to develop a perfect mathematical model without limitations for the compression molding of plates from a granulate of highly filled thermoplastic composites. Materials and Methods: The paper proposes a non-stationary mathematical model. The model takes into account the presence of physical states transitions and dependence of the thermophysical characteristics of composites on temperature. The model is based on the known equations of thermal physics and continuum mechanics. Results: Initial and boundary conditions, rheological equations, systems of equations for the material, thermal, and power balance are determined for three stages of the process. The calculation problems are determined too. A program of iterative numerical calculation has been developed because of the resulting system of equations has no analytical solution. A convergence of experimental and theoretical results with the correlation coefficient confirms the adequacy of the developed mathematical model and the calculation program. Discussion and Conclusions: The results of the study allow calculating the dimensions of the mold cavity, the initial granulate required mass, technological losses, the time functions of pressure and temperature
Yamila Medina-Sánchez
2016-10-01
Full Text Available Teacher training has been ongoing task for Cuban pedagogical universities. In this sense, the results of research carried out with the title based teaching problems in the context of School Mathematics in initial teacher training Mathematics are presented. An educational model that systematizes and enriches the theory of teaching Alan Schoenfeld, revealing and argue new components, specified for application in practice a strategy of the same nature is provided. For its development theoretical methods, such as dialectical hermeneutical, analysis and synthesis, structural systemic, modeling, deductive inductive and logical historical, and empirical level survey, interview, observation were used, the educational testing, consultation with specialists and pre experiment, which enabled the collection and analysis of results.
A Categorization Model for Educational Values of the History of Mathematics. An Empirical Study
Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke
2017-11-01
There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.
Ranking of options of real estate use by expert assessments mathematical processing
Lepikhina, O. Yu; Skachkova, M. E.; Mihaelyan, T. A.
2018-05-01
The article is devoted to the development of the real estate assessment concept. In conditions of multivariate using of the real estate method based on calculating, the integral indicator of each variant’s efficiency is proposed. In order to calculate weights of criteria of the efficiency expert method, Analytic hierarchy process and its mathematical support are used. The method allows fulfilling ranking of alternative types of real estate use in dependence of their efficiency. The method was applied for one of the land parcels located on Primorsky district in Saint Petersburg.
Huang Zheming.
1990-01-01
This paper introduces a new method by applying fuzzy mathematics to the data processing of uranium thorium and potassium, these data were detected from surface gamma spectrometry in the field and can be used to make quantitative interpretation for delineating gold mineralization in the favourable area. This method provides a rapid means for expanding and tracing gold deposits or occurrences and for prospecting gold deposits of the same kind and also provides an effective means for engineering design in uncovering exploration. It is of high efficiency, low cost and worth popularizing. It can be also used to look for other metallic and nonmetallic ore deposits
Vieira, Leonardo S.; Donatelli, Joao L.; Cruz, Manuel E.
2006-01-01
In this work we present the development and implementation of an integrated approach for mathematical exergoeconomic optimization of complex thermal systems. By exploiting the computational power of a professional process simulator, the proposed integrated approach permits the optimization routine to ignore the variables associated with the thermodynamic balance equations and thus deal only with the decision variables. To demonstrate the capabilities of the integrated approach, it is here applied to a complex cogeneration system, which includes all the major components of a typical thermal plant, and requires more than 800 variables for its simulation
School Library Media Activities Monthly, 1997
1997-01-01
Provides seven fully developed library media activities that are designed for use with specific curriculum units in mathematics, reading and language arts, science, and social studies for elementary and secondary education. Library media skills, objectives, grade levels, resources, instructional roles, evaluation, and follow-up are described for…
Mixed Methods Study Using Constructive Learning Team Model for Secondary Mathematics Teachers
Ritter, Kristy L.
2010-01-01
The constructive learning team model for secondary mathematics teachers (CLTM) was created to provide students with learning opportunities and experiences that address deficiencies in oral and written communication, logical processes and analysis, mathematical operations, independent learning, teamwork, and technology utilization. This study…
Battista, Michael T.
1999-01-01
Because traditional instruction ignores students' personal construction of mathematical meaning, mathematical thought development is not properly nurtured. Several issues must be addressed, including adults' ignorance of math- and student-learning processes, identification of math-education research specialists, the myth of coverage, testing…
House, J Daniel
2009-04-01
Recent mathematics assessment findings indicate that Native American students tend to score below students of the ethnic majority. Findings suggest that students' beliefs about mathematics are significantly related to achievement outcomes. This study examined relations between self-beliefs and mathematics achievement for a national sample of 130 Grade 8 Native American students from the Trends in International Mathematics and Science Study (TIMSS) 2003 United States sample of (M age = 14.2 yr., SD = 0.5). Multiple regression indicated several significant relations of mathematics beliefs with achievement and accounted for 26.7% of the variance in test scores. Students who earned high test scores tended to hold more positive beliefs about their ability to learn mathematics quickly, while students who earned low scores expressed negative beliefs about their ability to learn new mathematics topics.
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...
An explicit solution of the mathematical model for osmotic desalination process
Kim, Do Yeon; Gu, Boram; Yang, Dae Ryook [Korea University, Seoul (Korea, Republic of)
2013-09-15
Membrane processes such as reverse osmosis and forward osmosis for seawater desalination have gained attention in recent years. Mathematical models have been used to interpret the mechanism of membrane processes. The membrane process model, consisting of flux and concentration polarization (CP) models, is coupled with balance equations and solved simultaneously. This set of model equations is, however, implicit and nonlinear; consequently, the model must be solved iteratively and numerically, which is time- and cost-intensive. We suggest a method to transform implicit equations to their explicit form, in order to avoid an iterative procedure. In addition, the performance of five solving methods, including the method that we suggest, is tested and compared for accuracy, computation time, and robustness based on input conditions. Our proposed method shows the best performance based on the robustness of various simulation conditions, accuracy, and a cost-effective computation time.
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.
Chuzlov, Vyacheslav Alekseevich; Molotov, Konstantin
2016-01-01
An approach to simulation of hydrocarbons refining processes catalytic reactors. The kinetic and thermodynamic research of light naphtha isomerization process was conducted. The kinetic parameters of hydrocarbon feedstock chemical conversion on different types of platinum-content catalysts was established. The estimation of efficiency of including different types of isomerization technologies in oil refinery flow diagram was performed.
Chuzlov Vjacheslav
2016-01-01
Full Text Available An approach to simulation of hydrocarbons refining processes catalytic reactors. The kinetic and thermodynamic research of light naphtha isomerization process was conducted. The kinetic parameters of hydrocarbon feedstock chemical conversion on different types of platinum-content catalysts was established. The estimation of efficiency of including different types of isomerization technologies in oil refinery flow diagram was performed.
О. E. Prokopchenko
2015-09-01
Full Text Available The article analyzes the basic methods and algorithms of mathematical processing of medical images as objects of computer mathematics. The presented methods and computer algorithms of mathematics relevant and may find application in the field of medical imaging - automated processing of images; as a tool for measurement and determination the optical parameters; identification and formation of medical images database. Methods and computer algorithms presented in the article & based on Wolfram Mathematica are also relevant to the problem of modern medical education. As an example of Wolfram Mathematica may be considered appropriate demonstration, such as recognition of special radiographs and morphological imaging. These methods are used to improve the diagnostic significance and value of medical (clinical research and can serve as an educational interactive demonstration. Implementation submitted individual methods and algorithms of computer Wolfram Mathematics contributes, in general, the optimization process of practical processing and presentation of medical images.
Contributions to the mathematical study of BCS theory
Deuchert, Andreas
2016-01-01
The results of this thesis contribute to the mathematical study of BCS theory, that is, to the study of the BCS gap equation and the BCS functional. In the first part, we investigate a recent definition of a generalized relative entropy for bounded and not necessarily compact operators, which, in the second part, is used to define and study a non-periodic version of the BCS functional with an external field. In the third part of this work, we consider the BCS functional in two spatial dimensions with a radial pair interaction and show that the translational symmetry of the model is not broken. The quantum relative entropy plays an important role in statistical mechanics and quantum information theory. Apart from its relevance in quantum physics, it has interesting mathematical properties, such as joint convexity and monotonicity. From a purely mathematical point of view, it can be interpreted as a distance measure between two matrices, or more generally two trace-class operators, A and B. Like Hartree states, BCS states are conveniently described in terms of a generalized one-particle density matrix and so it is no surprise that the need to extend the relative entropy to non-compact operators also plays a role in BCS theory. This was our initial motivation in studying this object. The generalized relative entropy of Lewin and Sabin is defined by a limiting procedure that resembles the thermodynamic limit. An important question left open in their work is whether there exists a simple formula that allows one to compute the limit without having to work with the complicated limiting procedure. Such a formula is necessary for example for trial state arguments. In Chapter 2 we answer this question affirmatively and derive such a formula. Assuming some mild regularity conditions for the operators A and B, we show that it takes a particularly simple form, which is suitable for computations. Our proof is based upon a novel integral representation of the generalized relative
Contributions to the mathematical study of BCS theory
Deuchert, Andreas
2016-09-29
The results of this thesis contribute to the mathematical study of BCS theory, that is, to the study of the BCS gap equation and the BCS functional. In the first part, we investigate a recent definition of a generalized relative entropy for bounded and not necessarily compact operators, which, in the second part, is used to define and study a non-periodic version of the BCS functional with an external field. In the third part of this work, we consider the BCS functional in two spatial dimensions with a radial pair interaction and show that the translational symmetry of the model is not broken. The quantum relative entropy plays an important role in statistical mechanics and quantum information theory. Apart from its relevance in quantum physics, it has interesting mathematical properties, such as joint convexity and monotonicity. From a purely mathematical point of view, it can be interpreted as a distance measure between two matrices, or more generally two trace-class operators, A and B. Like Hartree states, BCS states are conveniently described in terms of a generalized one-particle density matrix and so it is no surprise that the need to extend the relative entropy to non-compact operators also plays a role in BCS theory. This was our initial motivation in studying this object. The generalized relative entropy of Lewin and Sabin is defined by a limiting procedure that resembles the thermodynamic limit. An important question left open in their work is whether there exists a simple formula that allows one to compute the limit without having to work with the complicated limiting procedure. Such a formula is necessary for example for trial state arguments. In Chapter 2 we answer this question affirmatively and derive such a formula. Assuming some mild regularity conditions for the operators A and B, we show that it takes a particularly simple form, which is suitable for computations. Our proof is based upon a novel integral representation of the generalized relative
Randahl, Mira
2016-08-01
This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative concept. Data were collected during observations of lectures and an interview, and informal talks with the teacher. The introduction and the treatment of the derivative as proposed by the teacher during the lectures were analysed in relation to the results of the content text analysis of the textbook. The teacher's decisions were explored through the lens of intended learning goals for engineering students taking the mathematics course. The results showed that the sequence of concepts and the formal introduction of the derivative as proposed by the textbook were closely followed during the lectures. The examples and tasks offered to the students focused strongly on procedural knowledge. Although the textbook proposes both examples and exercises that promote conceptual knowledge, these opportunities were not fully utilized during the observed lectures. Possible reasons for the teacher's choices and decisions are discussed.
Randahl, Mira
2016-01-01
This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…
Wang, Lin-Wei; Qu, Ai-Ping; Yuan, Jing-Ping; Chen, Chuang; Sun, Sheng-Rong; Hu, Ming-Bai; Liu, Juan; Li, Yan
2013-01-01
The expending and invasive features of tumor nests could reflect the malignant biological behaviors of breast invasive ductal carcinoma. Useful information on cancer invasiveness hidden within tumor nests could be extracted and analyzed by computer image processing and big data analysis. Tissue microarrays from invasive ductal carcinoma (n = 202) were first stained with cytokeratin by immunohistochemical method to clearly demarcate the tumor nests. Then an expert-aided computer analysis system was developed to study the mathematical and geometrical features of the tumor nests. Computer recognition system and imaging analysis software extracted tumor nests information, and mathematical features of tumor nests were calculated. The relationship between tumor nests mathematical parameters and patients' 5-year disease free survival was studied. There were 8 mathematical parameters extracted by expert-aided computer analysis system. Three mathematical parameters (number, circularity and total perimeter) with area under curve >0.5 and 4 mathematical parameters (average area, average perimeter, total area/total perimeter, average (area/perimeter)) with area under curve nests could be a useful parameter to predict the prognosis of early stage breast invasive ductal carcinoma.
Mathematical studies on nosocomial spread of antibiotic-resistant bacteria
Gurieva, T.V.
2017-01-01
Infections with antibiotic-resistant bacteria are a worldwide problem in hospitals and their rates remain high in many countries despite efforts to reduce the rates. Infection prevention is complicated by asymptomatic carriers. Using mathematical modelling, different intervention strategies were
A Praxeological Study of Proportionality in Mathematics Lower Secondary Textbooks
Wijayanti, Dyana
Research on the uses and contents of mathematics textbooks has expanded over the past decades, due to the central role textbooks occupy in mathematics teaching worldwide. However, the methodology of analysing the texts themselves often appears underdeveloped or even naïve, especially when it comes...... to specific mathematical content. The central idea of this thesis is to deploy the anthropological theory of the didactic, and especially the notion of praxeology, to analyse how textbooks treat three specific and related areas (or more precisely, sectors) of mathematical contents for lower secondary school......, namely "proportion and ratio" (in Arithmetic), "similar plane figures" (in Geometry), and "linear functions" (in Algebra). This leads to a new and very precise methodological tool for analysing the practices (types of tasks, techniques) supported by the textbooks through examples, explanations...
A Mathematical Model, Implementation and Study of a Swarm System
Varghese, Blesson; McKee, Gerard
2013-01-01
The work reported in this paper is motivated towards the development of a mathematical model for swarm systems based on macroscopic primitives. A pattern formation and transformation model is proposed. The pattern transformation model comprises two general methods for pattern transformation, namely a macroscopic transformation and mathematical transformation method. The problem of transformation is formally expressed and four special cases of transformation are considered. Simulations to conf...
Márcia Cristina de Costa Trindade Cyrino
2011-12-01
Full Text Available We presented in this paper results of a research which aimed to investigate how the community of practice context of pre-service mathematics teacher education collaborates for learning on algebraic thinking by these future teachers. We analyzed, taking into account the Social Theory of Learning developed by Wenger (1998 as a theoretical frame, processes of negotiation of meanings present in participants' algebraic thinking in the development of tasks in one of the actions of the project "Mathematical Education of Teachers of Mathematics" inside the program "Universidade sem Fronteiras". This analysis allowed us to define some forms of member participation and explicit reification of algebraic thinking, due to some interactions in the processes of negotiation of meanings, which revealed changes in the identity of participants in become teachers of mathematics.
Sepideh Moradpour
2015-04-01
Full Text Available Today mathematics stress have considered under interesting of many psychologists of mathematics education and cognitive psychologists too so that recognize emotion and mental stimulations of students in mathematics and to find scientific strategies for removing and controlling them. Anxiety is one of important and effective issues of 21th century. This study is done with aim of the study of relationship between mothers' anxiety with mathematics performance and anxiety of their children at first grade of high school at zone one of Tehran. Among population, 97 students and their mothers are chosen. Data of this research are collected by Cattell standard questionnaire for studying mothers' anxiety and standard questionnaire of mathematics anxiety for studying mathematics anxiety and a math exam for studying of students' performance. Research findings indicate that there is significant relationship between mothers' anxiety with mathematics anxiety and performance of students. Also it indicated that there is significant difference between students with high and low mathematics anxiety in term of mathematics performance.
The Effects of Number Theory Study on High School Students' Metacognition and Mathematics Attitudes
Miele, Anthony M.
2014-01-01
The purpose of this study was to determine how the study of number theory might affect high school students' metacognitive functioning, mathematical curiosity, and/or attitudes towards mathematics. The study utilized questionnaire and/or interview responses of seven high school students from New York City and 33 high school students from Dalian,…
Li, Qing; Vandermeiden, Elise; Lemieux, Collette; Nathoo, Shahista
2016-01-01
This study explored secondary students' learning experiences in mathematics through digital game building. In this study, students were asked to become designers and builders in order to coauthor their own mathematics learning. Grounded in enactivism, this study examined the impact of game building on students' achievement. In addition, it…
Characteristic of critical and creative thinking of students of mathematics education study program
Rochmad; Agoestanto, A.; Kharis, M.
2018-03-01
Critical and creative thinking give important role in learning matematics for mathematics education students. This research to explored the characteristic of critical and creative thinking of students of mathematics study program in mathematics department. Critical thinking and creative thinking can be illustrated as two sides of a coin, which one is associated to the other. In elementary linear algebra courses, however, critical thinking can be seen as a foundation to build students’ creative thinking.
Study of silicon microstrips detector quantum efficiency using mathematical simulation
Leyva Pernia, Diana; Cabal Rodriguez, Ana Ester; Pinnera Hernandez, Ibrahin; Fabelo, Antonio Leyva; Abreu Alfonso, Yamiel; Cruz Inclan, Carlos M.
2011-01-01
The paper shows the results from the application of mathematical simulation to study the quantum efficiency of a microstrips crystalline silicon detector, intended for medical imaging and the development of other applications such as authentication and dating of cultural heritage. The effects on the quantum efficiency of some parameters of the system, such as the detector-source geometry, X rays energy and detector dead zone thickness, were evaluated. The simulation results were compared with the theoretical prediction and experimental available data, resulting in a proper correspondence. It was concluded that the use of frontal configuration for incident energies lower than 17 keV is more efficient, however the use of the edge-on configuration for applications requiring the detection of energy above this value is recommended. It was also found that the reduction of the detector dead zone led to a considerable increase in quantum efficiency for any energy value in the interval from 5 to 100 keV.(author)
Rubén Alberto Cervini Iturre
2003-05-01
Full Text Available This is a study of the relationships between the student-body composition of the school, some characteristics of the scholastic process—culture and school climate—according to learners’ perceptions, and the mathematics achievement of students in the last year of high school in Argentina. The data used came from the 1998 National Census of High School Completion, carried out by the nation’s Ministry of Culture and Education. The file contains data for 135,000 students of 2,708 schools in 25 states. Multilevel linear modeling with three levels (student, school and state was applied. A strong relationship was detected between mathematics achievement and the variables student-body composition and school process. When both variables acted together, the effect of other variables experienced a pronounced descent. Although reduced, the variables of the process influenced the student’s achievement. There was identified for future works a reference model which would evaluate other institutional learning factors.
Julián-Ricardo, María Caridad; Ramos-Sánchez, Luís Beltrán; Gómez-Atanay, Angel Osvaldo
2014-01-01
The residues of the sugar industry have been used usually, natural or processed in the animal alimentation and have been developed a lot of investigations that are allowed obtain protein enrichment products by solid state fermentation (SSF). However, the technologies employed in the production have limitations that are restraining their commercialization. This investigation was directed to find solutions to the problems that are presented and was planted like objective: to obtain a mathematical model for the scale-up of the sugar cane bagasse´s protein enrichment process, using the Candida utilis yeast, in a packed-bed bioreactor. The experimental work was realized in a pilot plant that have an installation for the air accommodation that is supply for the bioreactor, with a temperature of 30 ºC and more than 95 % of relative humidity. Was used a mathematical model compose by a pseudohomogenous energy balance and the mass balances for the biomass overgrowth and the substrate consumption. The validation studies, was realized by the temperatures comparisons axially measure in 10 L and 100 L bioreactor and the temperatures calculated by simulation. The statistic treatment demonstrate that doesn´t exist big differences between the middle temperatures, for a confidence level of 95 %. The analysis realized to characterize the obtained product, allowed establish that it is accord to quality specifications of the protein enrichment feed. (author)
Improving Primary School Prospective Teachers' Understanding of the Mathematics Modeling Process
Bal, Aytgen Pinar; Doganay, Ahmet
2014-01-01
The development of mathematical thinking plays an important role on the solution of problems faced in daily life. Determining the relevant variables and necessary procedural steps in order to solve problems constitutes the essence of mathematical thinking. Mathematical modeling provides an opportunity for explaining thoughts in real life by making…
Barlow, Angela T.; Huang, Rongjin; Law, Huk-Yuen; Chan, Yip Cheung; Zhang, Qiaoping; Baxter, Wesley A.; Gaddy, Angeline K.
2016-01-01
Mathematical disagreements occur when students challenge each other's ideas related to a mathematical concept. In this research, we examined Hong Kong and U.S. elementary teachers' perceptions of mathematical disagreements and their resolutions using a video-stimulated survey. Participants were directed to give particular attention to the…
Learning to observe mathematical learning in lesson studies
Rasmussen, Klaus; Østergaard, Camilla Hellsten; Foss, Kristian Kildemoes
2016-01-01
This poster deals with lesson study (LS) in pre-service teacher education. In particular how to prepare for, carry out, and reflect upon, observations of pupil learning. Observation is of crucial importance to the lesson study process, and here we present a study of observation features which ena...... enable or hinder fruitful lesson study. While substantial research has been carried out in the general field of bserving pupils’ learning processes and teachers’ pedagogical practice, little is known about this in the particular setting of lesson study....
Enacting Curriculum Reform through Lesson Study: A Case Study of Mathematics Teacher Learning
Ni Shuilleabhain, Aoibhinn; Seery, Aidan
2018-01-01
Based in a time of major curriculum reform, this article reports on a qualitative case study of teacher professional development (PD) in the Republic of Ireland (ROI). Five mathematics teachers in an Irish secondary school were introduced to and participated in successive cycles of school-based lesson study (LS) over the course of one academic…
Hsieh, Feng-Jui
2013-01-01
This paper discusses different conceptual frameworks for measuring mathematics pedagogical content knowledge (MPCK) in international comparison studies. Two large-scale international comparative studies, "Mathematics Teaching in the Twenty-First Century" (MT21; Schmidt et al., 2011) and the "Teacher Education and Development Study…
Kelly, Daniel P.; Rutherford, Teomara
2017-01-01
Khan Academy is a large and popular open educational resource (OER) with little empirical study into its impact on student achievement in mathematics when used in schools. In this study, we examined the use of Khan Academy as a mathematics intervention among seventh grade students over a 4-week period versus a control group. We also compared…
Demir, Seda; Basol, Gülsah
2014-01-01
The aim of the current study is to determine the overall effects of Computer-Assisted Mathematics Education (CAME) on academic achievement. After an extensive review of the literature, studies using Turkish samples and observing the effects of Computer-Assisted Education (CAE) on mathematics achievement were examined. As a result of this…
A Case Study on Mathematical Literacy of Prospective Elementary School Teachers
Suharta, I. Gusti Putu; Suarjana, I. Made
2018-01-01
The purpose of this study is to describe Mathematical Literacy (ML) of Prospective Elementary School Teachers with attention to aspects of mathematical skills and gender. The type of research is qualitative with the research design of Case Study. Respondents are assigned 12 Prospective Elementary School Teachers, consisting of 6 men and 6 women.…
Kasmer, Lisa Anne; Billings, Esther
2017-01-01
This study investigated how a study abroad experience teaching mathematics in Tanzania, Africa impacted a group of secondary education pre-service teachers (PSTs) from the United States. In particular we discuss their ability to facilitate the learning of students in multilingual mathematics classrooms while personally developing intercultural…
The Challenge of Learning Physics before Mathematics: A Case Study of Curriculum Change in Taiwan
Chiu, Mei-Shiu
2016-01-01
The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without…
A Case Study of Single-Sex Middle School Mathematics Classes in a Mixed-Sex Public School
Kawasha, Fridah Singongi Silishebo
2010-01-01
The purpose of this case study was to (a) examine the main and interaction effects of gender, race and class-type on mathematics achievement, mathematics attitudes and sources of mathematics self-efficacy, (b) investigate teacher-student interactions in the single-sex mathematics classes and (c) investigate perspectives about single-sex…
Latif, I. A.; Saputro, D. R. S.; Riyadi
2018-03-01
2013 Curriculum (K13) provides an opportunity for students to develop the potential attitudes, knowledge, and skills necessary for life and society and contribute to the welfare of human life. The K13 2017 revision requires teachers to integrate 21st-century skills in the learning process. They are consist of critical thinking and problem-solving, communication, creativity and innovation, and collaboration (4C skills), Higher Order Thinking Skills (HOTS), literacy movement, and character education. This study is a qualitative research that aims to describe the steps performed by a high school mathematics teacher in preparing the Lesson Plan (RPP) in accordance with K13 2017 revision. The subject of this study is a Civil Servant Mathematics teacher at SMAN 1 Wuryantoro, Wonogiri Regency. This study used interview method with time triangulation technique to obtain valid data. Based on the interviews it is concluded that in preparing the RPP in accordance with K13 revision 2017, the teacher is guided by The Minister of Education and Culture Regulation (Permendikbud) Number 22 of 2016 and Pedoman Penyusunan RPP Abad 21. The first step taken by the teacher in preparing and developing RPP is quoting KI from Permendikbud Number 21 2016 and KD from Permendikbud Number 24 of 2016. After that, teacher formulates Indicators of Competency Achievement (IPK) in accordance with KD, learning objectives in accordance with IPK, learning materials in accordance with IPK, learning activities integrating 21st-century skills and in line with learning objectives, learning assessment instruments, and learning reflection activities.
Image analysis and mathematical modelling for the supervision of the dough fermentation process
Zettel, Viktoria; Paquet-Durand, Olivier; Hecker, Florian; Hitzmann, Bernd
2016-10-01
The fermentation (proof) process of dough is one of the quality-determining steps in the production of baking goods. Beside the fluffiness, whose fundaments are built during fermentation, the flavour of the final product is influenced very much during this production stage. However, until now no on-line measurement system is available, which can supervise this important process step. In this investigation the potential of an image analysis system is evaluated, that enables the determination of the volume of fermented dough pieces. The camera is moving around the fermenting pieces and collects images from the objects by means of different angles (360° range). Using image analysis algorithms the volume increase of individual dough pieces is determined. Based on a detailed mathematical description of the volume increase, which based on the Bernoulli equation, carbon dioxide production rate of yeast cells and the diffusion processes of carbon dioxide, the fermentation process is supervised. Important process parameters, like the carbon dioxide production rate of the yeast cells and the dough viscosity can be estimated just after 300 s of proofing. The mean percentage error for forecasting the further evolution of the relative volume of the dough pieces is just 2.3 %. Therefore, a forecast of the further evolution can be performed and used for fault detection.
Tatto, Maria Teresa; Peck, Ray; Schwille, John; Bankov, Kiril; Senk, Sharon L.; Rodriguez, Michael; Ingvarson, Lawrence; Reckase, Mark; Rowley, Glenn
2012-01-01
The Teacher Education Study in Mathematics (TEDS-M) 2008 is the first cross-national study to provide data on the knowledge that future primary and lower-secondary school teachers acquire during their mathematics teacher education. It is also the first major study to examine variations in the nature and influence of teacher education programs…
Study orientation and knowledge of basic vocabulary in Mathematics in the primary school
Marthie van der Walt
2009-09-01
Full Text Available Whatever the reason, underachievement in mathematics in South Africa is endemic and tantamount to a national disaster. Despite the transformation of education in South Africa, failure rates in mathematics at school and university remain unacceptably high, and the number of learners who leave Grade 12 with a pass mark in both mathematics and physical science is unacceptably low. Relatively little has been written about inadequate performance of Grade 4 to 7 learners in mathematics in South Africa, and even less about possible solutions to the problem. South African primary school learners’ lack of basic mathematics and vocabulary skills in particular is a source of major concern. In the ﬁrst national systemic evaluation of learners’ skills in English, mathematics and science in 2001 Grade 3 learners achieved an average of 30% in mathematics. In the follow-up studies, Grade 6 learners achieved a national average of 27% in mathematices, in 2004, while nationally eighty percent of Grade 3 and 6 learners achieved less than 50 percent for mathematics and Languages in 2008. The ﬁnding that so many primary school learners today are not numerate or literate has a direct inﬂuence both on the teaching and the learning of mathematics. Everything possible needs to be done to change this situation. During the past 15 years, the research focus in mathematics has shifted to an examination of the inﬂuence of social, cognitive and metacognitive, conative and affective factors on achievement in mathematics. In this regard, it is of particular importance that an ongoing investigation into “other” aspects that impact on achievement in mathematics is launched, rather than to restrict the investigation to mere assessment of objectives that are aimed at continually evaluating cognitive progress in mathematics. There is sufﬁcient empirical evidence that an adequate orientation to the study of mathematics correlates positively with high achievement in
Equations of mathematical physics
Tikhonov, A N
2011-01-01
Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced-undergraduate or graduate-level text considers only those problems leading to partial differential equations. The authors - two well-known Russian mathematicians - have focused on typical physical processes and the principal types of equations deailing with them. Special attention is paid throughout to mathematical formulation, ri
Mathematical modeling of quartz particle melting process in plasma-chemical reactor
Volokitin, Oleg, E-mail: volokitin-oleg@mail.ru; Volokitin, Gennady, E-mail: vgg-tomsk@mail.ru; Skripnikova, Nelli, E-mail: nks2003@mai.ru; Shekhovtsov, Valentin, E-mail: shehovcov2010@yandex.ru [Tomsk State University of Architecture and Building, 2, Solyanaya Sq., 634003, Tomsk (Russian Federation); Vlasov, Viktor, E-mail: rector@tsuab.ru [Tomsk State University of Architecture and Building, 2, Solyanaya Sq., 634003, Tomsk (Russian Federation); National Research Tomsk Polytechnic University, 30, Lenin Ave., 634050, Tomsk (Russian Federation)
2016-01-15
Among silica-based materials vitreous silica has a special place. The paper presents the melting process of a quartz particle under conditions of low-temperature plasma. A mathematical model is designed for stages of melting in the experimental plasma-chemical reactor. As calculation data show, quartz particles having the radius of 0.21≤ r{sub p} ≤0.64 mm completely melt at W = 0.65 l/s particle feed rate depending on the Nusselt number, while 0.14≤ r{sub p} ≤0.44 mm particles melt at W = 1.4 l/s. Calculation data showed that 2 mm and 0.4 mm quartz particles completely melted during and 0.1 s respectively. Thus, phase transformations occurred in silicon dioxide play the important part in its heating up to the melting temperature.
Pre-service mathematics teachers' attitudes towards learning English: A case study in Yogyakarta
Setyaningrum, Wahyu
2017-08-01
This study investigated attitudes of pre-service mathematics teachers towards English as one of the subject at the university. It is a qualitative study in which questionnaire and face-to-face interview were employed to collect the data. The participants of this study were sixty students of mathematics education department at one of the university in Yogyakarta. The main research question was concern with how pre-service mathematics teachers perceive the importance of learning English. This study found that most of the participants perceive English as an important language that should be acquired by mathematics teachers. Their beliefs about the importance of English were mostly due to instrumental orientation rather than integrative orientation, such as getting a good job, getting a scholarship and understanding learning sources that are written in English. The data also revealed some obstacles faced by pre-service mathematics teachers in learning English as an additional language for them. The main obstacles were related to the differences between English for mathematics and English in daily life including its vocabulary and structure. Most of the participants argued that several mathematics vocabularies had precise meaning and different from daily English. In addition, they found difficult to understand some sentences used in the paper journal due to its structure. This study therefore, provided an insight into the pre-service mathematics teachers' perception and obstacles when learning English that could be use in improving pre-service teachers' education.
Mathematical modeling in municipal solid waste management: case study of Tehran.
Akbarpour Shirazi, Mohsen; Samieifard, Reza; Abduli, Mohammad Ali; Omidvar, Babak
2016-01-01
Solid Waste Management (SWM) in metropolises with systematic methods and following environmental issues, is one of the most important subjects in the area of urban management. In this regard, it is regarded as a legal entity so that its activities are not overshadowed by other urban activities. In this paper, a linear mathematical programming model has been designed for integrated SWM. Using Lingo software and required data from Tehran, the proposed model has been applied for Tehran SWM system as a case study. To determine the optimal status of the available system for Tehran's Solid Waste Management System (SWMS), a novel linear programming model is applied. Tehran has 22 municipal regions with 11 transfer stations and 10 processing units. By running of the model, the transfer stations and processing units are decreased to 10 and 6 units, respectively. The proposed model is an alternative method for improvement the SWMS by decreasing the transfer stations and processing units.
The software package for solving problems of mathematical modeling of isothermal curing process
S. G. Tikhomirov
2016-01-01
Full Text Available Summary. On the basis of the general laws of sulfur vulcanization diene rubbers the principles of the effective cross-linking using a multi-component agents was discussed. It is noted that the description of the mechanism of action of the complex cross-linking systems are complicated by the diversity of interactions of components and the influence of each of them on the curing kinetics, leading to a variety technological complications of real technology and affects on the quality and technical and economic indicators of the production of rubber goods. Based on the known theoretical approaches the system analysis of isothermal curing process was performed. It included the integration of different techniques and methods into a single set of. During the analysis of the kinetics of vulcanization it was found that the formation of the spatial grid parameters vulcanizates depend on many factors, to assess which requires special mathematical and algorithmic support. As a result of the stratification of the object were identified the following major subsystems. A software package for solving direct and inverse kinetic problems isothermal curing process was developed. Information support “Isothermal vulcanization” is a set of applications of mathematical modeling of isothermal curing. It is intended for direct and inverse kinetic problems. When solving the problem of clarifying the general scheme of chemical transformations used universal mechanism including secondary chemical reactions. Functional minimization algorithm with constraints on the unknown parameters was used for solving the inverse kinetic problem. Shows a flowchart of the program. An example of solving the inverse kinetic problem with the program was introduced. Dataware was implemented in the programming language C ++. Universal dependence to determine the initial concentration of the curing agent was applied . It allowing the use of a model with different properties of multicomponent
(Non-)symbolic magnitude processing in children with mathematical difficulties: A meta-analysis.
Schwenk, Christin; Sasanguie, Delphine; Kuhn, Jörg-Tobias; Kempe, Sophia; Doebler, Philipp; Holling, Heinz
2017-05-01
Symbolic and non-symbolic magnitude representations, measured by digit or dot comparison tasks, are assumed to underlie the development of arithmetic skills. The comparison distance effect (CDE) has been suggested as a hallmark of the preciseness of mental magnitude representations. It implies that two magnitudes are harder to discriminate when the numerical distance between them is small, and may therefore differ in children with mathematical difficulties (MD), i.e. low mathematical achievement or dyscalculia. However, empirical findings on the CDE in children with MD are heterogeneous, and only few studies assess both symbolic and non-symbolic skills. This meta-analysis therefore integrates 44 symbolic and 48 non-symbolic response time (RT) outcomes reported in nineteen studies (N=1630 subjects, aged 6-14 years). Independent of age, children with MD show significantly longer mean RTs than typically achieving controls, particularly on symbolic (Hedges' g=0.75; 95% CI [0.51; 0.99]), but to a significantly lower extent also on non-symbolic (g=0.24; 95% CI [0.13; 0.36]) tasks. However, no group differences were found for the CDE. Extending recent work, these meta-analytical findings on children with MD corroborate the diagnostic importance of magnitude comparison speed in symbolic tasks. By contrast, the validity of CDE measures in assessing MD is questioned. Copyright © 2017 Elsevier Ltd. All rights reserved.
Case Study of an Epistemic Mathematics Computer Game
Buteau, Chantal; Muller, Eric
2018-01-01
E-Brock Bugs is a serious educational game (SEG) about probability which was created based on Devlin's design principles for games whose players adopt identities of mathematically able persons. This kind of games in which "players think and act like real world professionals" has been called epistemic. This article presents an empirical…
Teacher training for mathematical literacy: A case study taking the ...
With the advent of the Minimum Requirements for Teacher Education Qualifications policy (MRTEQ), higher education institutions (HEIs) are rethinking curricula for teacher training in order to enable entree for in-service teachers to reskill, retrain and have access to higher qualifications. In the field of mathematical literacy ...
Mathematical Approaches in Studying the Ideal Image of the Goal
Alexander G. Kruglov
2014-03-01
Full Text Available The article outlines the possible approaches in the mathematical computations of integrated behavioral units in functional systems supporting homeostasis through in behavioral changes. By an imbalance in the homeostasis system which initiates adaptive behavior we assume: for metabolism – a departure of the parameters from the “normal zone” to the level of a suprathreshold sensitivity of the receptors; for structures of the psychological and social spectra – to the “cognized-not cognized”, “acceptable-not acceptable” levels. For the system analysis of goal-directed behavior dynamics, we present a combination of the “creation – retention” of the ideal image of the goal and the entire effector structure of the integrated behavioral unit by introducing an integrating term, motivational gradient. The integrated Behavioral Unit (BU is described as a psychophysiological metamer in behavioral continuum, including a mathematical description of the BU as a whole including its elements viz., the ideal image of the goal and the motivational gradient. The hemodynamic equivalent of the motivational gradient (the scalar gradient and subjective time (the time marker are used as the BU markers. For the mathematical description, we use the mathematical apparatus of topological spaces and elements of the string theory to open up opportunities for new approaches in psychology and neurobiology.
The mathematical models of solution mining and case study
Jacobson, R.H.; Waskovsky, J.; Wang Xiwen; Wang Haifeng
1991-01-01
The mathematical model of parameters which describe solution mining and the principle of ore leaching are presented theoretically and thoroughly with the emphasis on in-situ leaching with a biolixiviant, furthermore, the example of bioleach mining, or biomining, in an abandoned underground copper mine is discussed
Emotion Regulation in Mathematics Homework: An Empirical Study
Xu, Jianzhong
2018-01-01
The author examined 2 distinctive aspects of emotion regulation in mathematics homework, including emotion management and cognitive reappraisal. Participants were 1,799 high school students from 46 classes in China. Two multilevel models were run, 1 with emotion management and another with cognitive reappraisal as the dependent variable. Both…
African Journal of Educational Studies in Mathematics and Sciences ...
Peer tutoring – assisted instruction, parent supportiveness and student locus of control – as determinants of academic achievement in senior secondary school mathematics · EMAIL FREE FULL TEXT EMAIL FREE FULL TEXT DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. I Oluyemi Onabanjo, PN Okpala, 9-17.
Treacy, Páraic Thomas
2018-01-01
Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant…
A Study of the Validity and Reliability of a Mathematics Lesson Attitude Scale and Student Attitudes
Tezer, Murat; Ozcan, Deniz
2015-01-01
Attitudes of the students towards mathematics lessons are very important in terms of their success and motivation. The purpose of this study is to develop a scale for the assessment of primary school students' attitudes towards mathematics courses in the 2nd and 3rd grades, to analyse its validity-reliability structure and to determine the…
Historical Research: How to Fit Minority and Women's Studies into Mathematics Class
Saraco, Margaret R.
2008-01-01
This article presents a lesson for studying minority and women's contributions to the field of mathematics in the middle school classroom. This lesson may be able to stem the tide of the shrinking number of students entering the field of mathematics by helping them become interested in its history. Nonetheless, this project encourages students to…
A Study of Early Childhood Mathematics Teaching in the United States and China
Li, Xia; Chi, Liping; DeBey, Mary; Baroody, Arthur J.
2015-01-01
Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts.…
A Longitudinal Study on Mathematics Teaching Efficacy: Which Factors (Un)Support the Development?
Isiksal-Bostan, Mine
2016-01-01
The aim of this longitudinal study was to examine prospective teachers' mathematics teaching efficacy belief during their enrollment in teacher education program and at the end of their first year of teaching. In addition, the factors that enhance or inhibit participants' efficacy belief and how these factors affect their mathematics teaching…
Geiger, Vince; Anderson, Judy; Hurrell, Derek
2017-01-01
The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated "best practice" in mathematics teaching and learning across all Australian…
Using multimedia cases for educating the primary school mathematics teacher educator: a design study
Dolk, M.L.A.M.; Hertog, den J.B.; Gravemeijer, K.P.E.
2002-01-01
The overarching goal of this chapter is to better understand how multimedia video case studies can support the professionalization of primary-school-mathematics teacher educators. We investigate the use of multimedia cases to support teacher educators in learning to mathematize and didactize and to
Balbag, M. Zafer; Yenilmez, Kürsat; Turgut, Melih
2017-01-01
This study aimed at adapting the personal professional development efforts scale developed for science and technology teachers to be applied for middle school mathematics teachers. For this purpose, first of all, the items of the original scale were adjusted for the middle school mathematics teachers by a team of experts. Data obtained by the new…
Investigating Lebanese Grade Seven Biology Teachers Mathematical Knowledge and Skills: A Case Study
Raad, Nawal Abou; Chatila, Hanadi
2016-01-01
This paper investigates Lebanese grade 7 biology teachers' mathematical knowledge and skills, by exploring how they explain a visual representation in an activity depending on the mathematical concept "Function". Twenty Lebanese in-service biology teachers participated in the study, and were interviewed about their explanation for the…
Sustainable Student Retention and Gender Issues in Mathematics for ICT Study
Divjak, Blazenka; Ostroski, Mirela; Hains, Violeta Vidacek
2010-01-01
This article reports on the research whose specific objective is to improve student retention in mathematics included in the first-year ICT study programme by means of improving teaching methods, with an emphasis on gender issues. Two principal reasons for this research are, first, the fact that first-year mathematics courses are often viewed as…
Prokop, Kristie L.
2011-01-01
On assessments such as Trends in International Mathematics and Science Study (TIMSS) (Stigler & Hiebert, 1999) and Program for International Assessment (PISA) ("PISA 2006 Science Competencies for Tomorrow's World", 2007) students in the United States have not been performing as well in mathematics as students in other countries. In…
Digital Educational Games and Mathematics. Results of a Case Study in Primary School Settings
Fokides, Emmanuel
2018-01-01
The study presents the results of a project in which a series of digital games were used for teaching Mathematics to first, fourth, and sixth-grade primary school students (ages 6-7, 8-9, and 11-12). Mathematics was selected as the teaching subject because of the difficulties students face in understanding basic math concepts. Although digital…
A Study of the Use of a Handheld Computer Algebra System in Discrete Mathematics
Powers, Robert A.; Allison, Dean E.; Grassl, Richard M.
2005-01-01
This study investigated the impact of the TI-92 handheld Computer Algebra System (CAS) on student achievement in a discrete mathematics course. Specifically, the researchers examined the differences between a CAS section and a control section of discrete mathematics on students' in-class examinations. Additionally, they analysed student approaches…
Fong, Carlton J.; Zientek, Linda Reichwein; Yetkiner Ozel, Zeynep Ebrar; Phelps, Julie M.
2015-01-01
The present study investigated developmental mathematics students' efficacy beliefs for motivational, self-regulated learning, resource management, and cognitive strategies and which of these beliefs most differentiated European American, African American and Hispanic students in terms of their mathematics achievement. The diverse sample consisted…
A National Study of Mathematics Requirements for Scientists and Engineers. Final Report.
Miller, G. H.
The National Study of Mathematics Requirements for Scientists and Engineers is concerned with establishing the mathematics experiences desired for the many specializations in science and engineering, such as microbiology, organic chemistry, electrical engineering, and molecular physics. An instruction and course content sheet and a course…
A Case Study on the Impact of Teacher Mathematical Knowledge on Pedagogical Practices
Hughes, Sally
2016-01-01
This study explores the implications for mathematical knowledge and pedagogical practices of primary teachers in Papua New Guinea making a shift from a transmission approach to a connectionist approach to teaching mathematics. The research participants were engaged in a professional development program designed to support the teaching and learning…
Processes in the development of mathematics in kindergarten children from Title 1 schools.
Foster, Matthew E; Anthony, Jason L; Clements, Doug H; Sarama, Julie H
2015-12-01
This study examined how well nonverbal IQ (or fluid intelligence), vocabulary, phonological awareness (PA), rapid autonomized naming (RAN), and phonological short-term memory (STM) predicted mathematics outcomes. The 208 participating kindergartners were administered tests of fluid intelligence, vocabulary, PA, RAN, STM, and numeracy in the fall of kindergarten, whereas tests of numeracy and applied problems were administered in the spring of kindergarten. Fall numeracy scores accounted for substantial variation in spring outcomes (R(2) values = .49 and .32 for numeracy and applied problems, respectively), which underscores the importance of preschool math instruction and screening for mathematics learning difficulties on entry into kindergarten. Fluid intelligence and PA significantly predicted unique variation in spring numeracy scores (ΔR(2) = .05) after controlling for autoregressive effects and classroom nesting. Fluid intelligence, PA, and STM significantly predicted unique variation in spring applied problems scores (ΔR(2) = .14) after controlling for autoregressive effects and classroom nesting. Although the contributions of fluid intelligence, PA, and STM toward math outcomes were reliable and arguably important, they were small. Copyright © 2015 Elsevier Inc. All rights reserved.
Alibek Issakhov
2014-01-01
Full Text Available This paper presents the mathematical model of the thermal process from thermal power plant to aquatic environment of the reservoir-cooler, which is located in the Pavlodar region, 17 Km to the north-east of Ekibastuz town. The thermal process in reservoir-cooler with different hydrometeorological conditions is considered, which is solved by three-dimensional Navier-Stokes equations and temperature equation for an incompressible flow in a stratified medium. A numerical method based on the projection method, divides the problem into three stages. At the first stage, it is assumed that the transfer of momentum occurs only by convection and diffusion. Intermediate velocity field is solved by fractional steps method. At the second stage, three-dimensional Poisson equation is solved by the Fourier method in combination with tridiagonal matrix method (Thomas algorithm. Finally, at the third stage, it is expected that the transfer is only due to the pressure gradient. Numerical method determines the basic laws of the hydrothermal processes that qualitatively and quantitatively are approximated depending on different hydrometeorological conditions.
Mathematical model of whole-process calculation for bottom-blowing copper smelting
Li, Ming-zhou; Zhou, Jie-min; Tong, Chang-ren; Zhang, Wen-hai; Li, He-song
2017-11-01
The distribution law of materials in smelting products is key to cost accounting and contaminant control. Regardless, the distribution law is difficult to determine quickly and accurately by mere sampling and analysis. Mathematical models for material and heat balance in bottom-blowing smelting, converting, anode furnace refining, and electrolytic refining were established based on the principles of material (element) conservation, energy conservation, and control index constraint in copper bottom-blowing smelting. Simulation of the entire process of bottom-blowing copper smelting was established using a self-developed MetCal software platform. A whole-process simulation for an enterprise in China was then conducted. Results indicated that the quantity and composition information of unknown materials, as well as heat balance information, can be quickly calculated using the model. Comparison of production data revealed that the model can basically reflect the distribution law of the materials in bottom-blowing copper smelting. This finding provides theoretical guidance for mastering the performance of the entire process.
Mercader, Jessica; Miranda, Ana; Presentación, M Jesús; Siegenthaler, Rebeca; Rosel, Jesús F
2017-01-01
The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions), executive functioning (inhibition and working memory), and early numeracy skills (logical operations, counting, and magnitude comparison abilities), assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5-6 and 7-8 years old). The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed.
Jessica Mercader
2018-01-01
Full Text Available The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions, executive functioning (inhibition and working memory, and early numeracy skills (logical operations, counting, and magnitude comparison abilities, assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5–6 and 7–8 years old. The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed.
I. I. Kravchenko
2016-01-01
Full Text Available Experience in application of multi-operational machines CNC (MOM CNC shows that they are efficient only in case of significantly increasing productivity and dramatically reducing time-to-market cycle of new products. Most full technological MOM capabilities are revealed when processing the complex body parts. The more complex is a part design and the more is its number of machined surfaces, the more tools are necessary for its processing and positioning, the more is an efficiency of their application. At the same time, the case history of using these machines in industry shows that MOM CNC are, virtually, used mostly for technological processes of universal equipment, which is absolutely unacceptable. One way to improve the processing performance on MOM CNC is to reduce nonproductive machine time through reducing the mutual idle movements of the working machine. This problem is solved using dynamic programming methods, one of which is the solution of the traveling salesman problem (Bellman's method. With a known plan for treatment of all elementary surfaces of the body part, i.e. the known number of performed transitions, each transition is represented as a vertex of some graph, while technological links between the vertices are its edges. A mathematical model is developed on the Bellman principle, which is adapted to technological tasks to minimize the idle time of mutual idle movements of the working machine to perform all transitions in the optimal sequence. The initial data to fill matrix of time expenditures are time consumed by the hardware after executing the i-th transition, and necessary to complete the j-transition. The programmer fills in matrix cells according to known routing body part taking into account the time for part and table positioning, tool exchange, spindle and table approach to the working zone, and the time of table rotation, etc. The mathematical model was tested when machining the body part with 36 transitions on the
Dina Aleksandrovna Kirillova
2015-12-01
Full Text Available The modern reform of the Russian higher education involves the implementation of competence-based approach, the main idea of which is the practical orientation of education. Mathematics is a universal language of description, modeling and studies of phenomena and processes of different nature. Therefore creating the fund of assessment tools for mathematical disciplines based on the applied problems is actual. The case method is the most appropriate mean of monitoring the learning outcomes, it is aimed at bridging the gap between theory and practice.The aim of the research is the development of methodical materials for the creating the fund of assessment tools that are based on the case-study for the mathematical analisis for direction «Applied Mathematics and Computer Science». The aim follows from the contradiction between the need for the introduction of case-method in the educational process in high school and the lack of study of the theoretical foundations of using of this method as applied to mathematical disciplines, insufficient theoretical basis and the description of the process of creating case-problems for use their in the monitoring of the learning outcomes.
Logical studies of paraconsistent reasoning in science and mathematics
Verdée, Peter
2016-01-01
This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic th...
Erdogan, Serap; Baran, Gulen
2009-01-01
This study was conducted to examine the effect of mathematics teaching given through the drama method on the mathematical ability of six-year-old children. The research was conducted in Ankara on 105 children from the kindergarten classes of two different primary schools of the Ministry of National Education, which are at middle socio-economic…
Perceived autonomy in the first semester of mathematics studies
Liebendörfer, Michael; Hochmuth, Reinhard
2015-01-01
International audience; We focus on the perceived autonomy of mathematics students in their first semester at university. According to self-determination theory by Deci and Ryan (1985), students have to satisfy their need for autonomy in order to develop intrinsic motivation. Using two facets of autonomy, we analyse interview data to explore which situations foster or hinder the students' perceived autonomy. The main factors affecting students' autonomy are briefly discussed.
A Study on the Role of Drama in Learning Mathematics
Elahe Masoum; Mohsen Rostamy-Malkhalifeh; Zahra Kalantarnia
2013-01-01
Present educational systems needs modern strategies for teaching and learning. Mathematics education has to change for students in elementary schools. One of the modern strategies, it is drama activities. The drama is as empirical aspect of learning. The student may learn from what they are doing in drama. They are so active instead having a passive shape in drama, in fact, students are learning, finding experiences and new paths from drama as well. The students could find its capabilities, r...
Kymratova A. M.
2015-01-01
The present study was carried out in the view of the fact that there is no more or less complete theory of time series prediction memory to date. This determines the urgency and necessity of the development of new mathematical methods and algorithms to detect possible potential predictability of the series with the memory and the construction of adequate predictive models. Classical methods of forecasting economic time series are based on the mathematical apparatus of econometrics. It is carr...
American Society for Testing and Materials. Philadelphia
2010-01-01
1.1 This guide describes different mathematical methods that may be used to calculate absorbed dose and criteria for their selection. Absorbed-dose calculations can determine the effectiveness of the radiation process, estimate the absorbed-dose distribution in product, or supplement or complement, or both, the measurement of absorbed dose. 1.2 Radiation processing is an evolving field and annotated examples are provided in Annex A6 to illustrate the applications where mathematical methods have been successfully applied. While not limited by the applications cited in these examples, applications specific to neutron transport, radiation therapy and shielding design are not addressed in this document. 1.3 This guide covers the calculation of radiation transport of electrons and photons with energies up to 25 MeV. 1.4 The mathematical methods described include Monte Carlo, point kernel, discrete ordinate, semi-empirical and empirical methods. 1.5 General purpose software packages are available for the calcul...
Simanowski, Stefanie; Krajewski, Kristin
2017-08-10
This study assessed the extent to which executive functions (EF), according to their factor structure in 5-year-olds (N = 244), influenced early quantity-number competencies, arithmetic fluency, and mathematics school achievement throughout first and second grades. A confirmatory factor analysis resulted in updating as a first, and inhibition and shifting as a combined second factor. In the structural equation model, updating significantly affected knowledge of the number word sequence, suggesting a facilitatory effect on basic encoding processes in numerical materials that can be learnt purely by rote. Shifting and inhibition significantly influenced quantity to number word linkages, indicating that these processes promote developing a profound understanding of numbers. These results show the supportive role of specific EF for specific aspects of a numerical foundation. © 2017 The Authors. Child Development © 2017 Society for Research in Child Development, Inc.
A study about teaching quadratic functions using mathematical models and free software
Nepomucena, T. V.; da Silva, A. C.; Jardim, D. F.; da Silva, J. M.
2017-12-01
In the face of the reality of teaching Mathematics in Basic Education in Brazil, specially relating teach functions focusing their relevance to the student’s academic development in Basic and Superior Education, this work proposes the use of educational software to help the teaching of functions in Basic Education since the computers and software show as an outstanding option to help the teaching and learning processes. On the other hand, the study also proposes the use of Didactic Transposition as a methodology investigation and research. Along with this survey, some teaching interventions were applied to detect the main difficulties in the teaching process of functions in the Basic Education, analyzing the results obtained along the interventions in a qualitative form. Considering the discussion of the results at the end of the didactic interventions, it was verified that the results obtained were satisfactory.
MATHEMATICAL SIMULATION AND AUTOMATION OF PROCESS ENGINEERING FOR WELDED STRUCTURE PRODUCTION
P. V. Zankovets
2017-01-01
Full Text Available Models and methods for presentation of database and knowledge base have been developed on the basis of composition and structure of data flow in technological process of welding. The information in data and knowledge base is presented in the form of multilevel hierarchical structure and it is organized according to its functionality in the form of separate files. Each file contains a great number of tables. While using mathematical simulation and information technologies an expert system has been developed with the purpose to take decisions in designing and process engineering for production of welded ructures. The system makes it possible to carry out technically substantiated selection of welded and welding materials, sttypes of welded connections, welding methods, parameters and modes of welding. The developed system allows to improve quality of the accepted design decisions due to reduction of manual labour costs for work with normative-reference documentation, analysis and evaluation of dozens of possible alternatives. The system also permits to reduce labour inputs for testing structures on technological effectiveness, to ensure reduction of materials consumption for welded structures, to guarantee faultless formation of welded connections at this stage.
Gulevsky, V. A.; Shatsky, V. P.; Osipov, E. I.; Menzhulova, A. S.
2018-03-01
For cooling the air environment of industrial premises water-evaporating air, conditioners are being increasingly applied. The simplicity of their construction, ecological safety and low power consumption distinguish them from the coolers of other types. Cooling the processed air is due to the loss of energy for the evaporation of moisture from the surface of the water-wetted plates that form air channels. As a result of this process, cooled air is often saturated with moisture, which limits the possibilities for the operation of the coolers of this type. In these cases, more complex coolers of indirect principle without such drawback should be applied. The most effective modification of indirect cooling is the installation of recuperative principle units. The paper presents a mathematical model of heat-mass transfer in such water-evaporating coolers. The scheme of realization of this model based on an iterative algorithm of solution of the system of finite–difference linear equations that takes into account longitudinal and transverse thermal conductivity of the heat transfer plates is suggested. The possibility of obtaining the optimal values of the redistribution of the main and auxiliary air flows through the substantiation of the aerodynamic resistance of the output grid is proved. This allows refusing the inclusion in the additional system cooling fan unit for discharging an auxiliary stream of air.
Mathematical model of solid food pasteurization by ohmic heating: influence of process parameters.
Marra, Francesco
2014-01-01
Pasteurization of a solid food undergoing ohmic heating has been analysed by means of a mathematical model, involving the simultaneous solution of Laplace's equation, which describes the distribution of electrical potential within a food, the heat transfer equation, using a source term involving the displacement of electrical potential, the kinetics of inactivation of microorganisms likely to be contaminating the product. In the model, thermophysical and electrical properties as function of temperature are used. Previous works have shown the occurrence of heat loss from food products to the external environment during ohmic heating. The current model predicts that, when temperature gradients are established in the proximity of the outer ohmic cell surface, more cold areas are present at junctions of electrodes with lateral sample surface. For these reasons, colder external shells are the critical areas to be monitored, instead of internal points (typically geometrical center) as in classical pure conductive heat transfer. Analysis is carried out in order to understand the influence of pasteurisation process parameters on this temperature distribution. A successful model helps to improve understanding of these processing phenomenon, which in turn will help to reduce the magnitude of the temperature differential within the product and ultimately provide a more uniformly pasteurized product.
Processing of microCT implant-bone systems images using Fuzzy Mathematical Morphology
Bouchet, A; Pastore, J; Colabella, L; Omar, S; Ballarre, J
2016-01-01
The relationship between a metallic implant and the existing bone in a surgical permanent prosthesis is of great importance since the fixation and osseointegration of the system leads to the failure or success of the surgery. Micro Computed Tomography is a technique that helps to visualize the structure of the bone. In this study, the microCT is used to analyze implant-bone systems images. However, one of the problems presented in the reconstruction of these images is the effect of the iron based implants, with a halo or fluorescence scattering distorting the micro CT image and leading to bad 3D reconstructions. In this work we introduce an automatic method for eliminate the effect of AISI 316L iron materials in the implant-bone system based on the application of Compensatory Fuzzy Mathematical Morphology for future investigate about the structural and mechanical properties of bone and cancellous materials. (paper)
Canseco Grellet, M A; Castagnaro, A; Dantur, K I; De Boeck, G; Ahmed, P M; Cárdenas, G J; Welin, B; Ruiz, R M
2016-10-01
To calculate fermentation efficiency in a continuous ethanol production process, we aimed to develop a robust mathematical method based on the analysis of metabolic by-product formation. This method is in contrast to the traditional way of calculating ethanol fermentation efficiency, where the ratio between the ethanol produced and the sugar consumed is expressed as a percentage of the theoretical conversion yield. Comparison between the two methods, at industrial scale and in sensitivity studies, showed that the indirect method was more robust and gave slightly higher fermentation efficiency values, although fermentation efficiency of the industrial process was found to be low (~75%). The traditional calculation method is simpler than the indirect method as it only requires a few chemical determinations in samples collected. However, a minor error in any measured parameter will have an important impact on the calculated efficiency. In contrast, the indirect method of calculation requires a greater number of determinations but is much more robust since an error in any parameter will only have a minor effect on the fermentation efficiency value. The application of the indirect calculation methodology in order to evaluate the real situation of the process and to reach an optimum fermentation yield for an industrial-scale ethanol production is recommended. Once a high fermentation yield has been reached the traditional method should be used to maintain the control of the process. Upon detection of lower yields in an optimized process the indirect method should be employed as it permits a more accurate diagnosis of causes of yield losses in order to correct the problem rapidly. The low fermentation efficiency obtained in this study shows an urgent need for industrial process optimization where the indirect calculation methodology will be an important tool to determine process losses. © 2016 The Society for Applied Microbiology.
Jin Huang
2017-09-01
Full Text Available Process planning is an important function in a manufacturing system; it specifies the manufacturing requirements and details for the shop floor to convert a part from raw material to the finished form. However, considering only economical criterion with technological constraints is not enough in sustainable manufacturing practice; formerly, criteria about low carbon emission awareness have seldom been taken into account in process planning optimization. In this paper, a mathematical model that considers both machining costs reduction as well as carbon emission reduction is established for the process planning problem. However, due to various flexibilities together with complex precedence constraints between operations, the process planning problem is a non-deterministic polynomial-time (NP hard problem. Aiming at the distinctive feature of the multi-objectives process planning optimization, we then developed a hybrid non-dominated sorting genetic algorithm (NSGA-II to tackle this problem. A local search method that considers both the total cost criterion and the carbon emission criterion are introduced into the proposed algorithm to avoid being trapped into local optima. Moreover, the technique for order preference by similarity to an ideal solution (TOPSIS method is also adopted to determine the best solution from the Pareto front. Experiments have been conducted using Kim’s benchmark. Computational results show that process plan schemes with low carbon emission can be captured, and, more importantly, the proposed hybrid NSGA-II algorithm can obtain more promising optimal Pareto front than the plain NSGA-II algorithm. Meanwhile, according to the computational results of Kim’s benchmark, we find that both of the total machining cost and carbon emission are roughly proportional to the number of operations, and a process plan with less operation may be more satisfactory. This study will draw references for the further research on green
Spooner, Chad M
2005-01-01
.... The approach is to consider systems of targets and sensors in as general a general mathematical formulation as possible, to develop mathematical tools to study such systems, and to apply the tools...
Mathematics Placement Test: Typical Results with Unexpected Outcomes
Ingalls, Victoria
2011-01-01
Based on the results of a prior case-study analysis of mathematics placement at one university, the mathematics department developed and piloted a mathematics placement test. This article describes the implementation process for a mathematics placement test and further analyzes the test results for the pilot group. As an unexpected result, the…
Greven, Corina U; Kovas, Yulia; Willcutt, Erik G; Petrill, Stephen A; Plomin, Robert
2014-01-01
Attention-deficit/hyperactivity disorder (ADHD) symptoms and mathematics ability are associated, but little is known about the genetic and environmental influences underlying this association. Data came from more than 6,000 twelve-year-old twin pairs from the UK population-representative Twins Early Development Study. Parents rated each twin's behaviour using a DSM-IV-based 18-item questionnaire of inattentive and hyperactive-impulsive ADHD symptoms. Mathematics tests based on the UK National Curriculum were completed by each twin. The twins also completed standardised tests of reading and general cognitive ability. Multivariate twin model fitting was applied. Inattentive and hyperactive-impulsive ADHD symptoms were highly heritable (67% and 73% respectively). Mathematics ability was moderately heritable (46%). Mathematics ability and inattentiveness showed a significantly greater phenotypic correlation (r(p) = -.26) and genetic correlation (r(A) = -.41) than mathematics ability and hyperactivity-impulsivity (r(p) = -.18; r(A) = -.22). The genetic correlation between inattentiveness and mathematics ability was largely independent from hyperactivity-impulsivity, and was only partially accounted for by genetic influences related to reading and general cognitive ability. Results revealed the novel finding that mathematics ability shows significantly stronger phenotypic and genetic associations with inattentiveness than with hyperactivity-impulsivity. Genetic associations between inattentiveness and mathematics ability could only partially be accounted for by hyperactivity-impulsivity, reading and general cognitive ability. Results suggest that mathematics ability is associated with ADHD symptoms largely because it shares genetic risk factors with inattentiveness, and provide further evidence for considering inattentiveness and hyperactivity-impulsivity separately. DNA markers for ADHD symptoms (especially inattentiveness) may also be candidate risk factors for
Japanese lesson study in mathematics its impact, diversity and potential for educational improvement
Isoda, Masami; Stephens, Max
2007-01-01
In Before It''s Too Late: A Report to the Nation from the National Commission on Mathematics and Science Teaching for the 21st Century (2000) in the US, the authors quote from James Stigler''s conclusions from various videotape research studies of mathematics teaching: "The key to long-term improvement [in teaching] is to figure out how to generate, accumulate, and share professional knowledge". Japanese Lesson Study has proved to be one successful means. This book supports the growing movement of lesson study to improve the quality of mathematics education from the original viewpoints of Japanese educators who have been engaging in lesson study in mathematics for professional development and curriculum implementation. This book also illustrates several projects related to lesson study in other countries.
Framing the structural role of mathematics in physics lectures: A case study on electromagnetism
Ricardo Karam
2014-05-01
Full Text Available Physics education research has shown that students tend to struggle when trying to use mathematics in a meaningful way in physics (e.g., mathematizing a physical situation or making sense of equations. Concerning the possible reasons for these difficulties, little attention has been paid to the way mathematics is treated in physics instruction. Starting from an overall distinction between a technical approach, which involves an instrumental (tool-like use of mathematics, and a structural one, focused on reasoning about the physical world mathematically, the goal of this study is to characterize the development of the latter in didactic contexts. For this purpose, a case study was conducted on the electromagnetism course given by a distinguished physics professor. The analysis of selected teaching episodes with the software Videograph led to the identification of a set of categories that describe different strategies used by the professor to emphasize the structural role of mathematics in his lectures. As a consequence of this research, an analytic tool to enable future comparative studies between didactic approaches regarding the way mathematics is treated in physics teaching is provided.
Normahmad Ravshanov; Bozorboy Palvanov; Gulnora Shermatova
2014-01-01
The article presents mathematic model and results of computer calculations of heavy mixtures classifying and farm crops full seeds selection. They enable to determine major process parameters and variation range, providing maximum dispersion of particles flight path, depending on feedstock modules.
Normahmad Ravshanov
2014-05-01
Full Text Available The article presents mathematic model and results of computer calculations of heavy mixtures classifying and farm crops full seeds selection. They enable to determine major process parameters and variation range, providing maximum dispersion of particles flight path, depending on feedstock modules.
Redko V. V.
2011-12-01
Full Text Available The paper discusses improvement of accuracy of measurands measurements with the use of measuring channel with nonlinear calibration curve. There is proposed a mathematical model, which describes process of redundant measurements for measuring channel when it’s measurement function is a polynomial of third power.
Muis, Krista R.; Psaradellis, Cynthia; Chevrier, Marianne; Di Leo, Ivana; Lajoie, Susanne P.
2016-01-01
We developed an intervention based on the learning by teaching paradigm to foster self-regulatory processes and better learning outcomes during complex mathematics problem solving in a technology-rich learning environment. Seventy-eight elementary students were randomly assigned to 1 of 2 conditions: learning by preparing to teach, or learning for…
Effandi Zakaria
2017-02-01
Full Text Available This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30$ namely, the Realistic Mathematics Approach group (PMR and the control group $(n = 31$ namely, the traditional group. This study was conducted for six weeks. The instruments used in this study were the achievement test and the attitudes towards mathematics questionnaires. Data were analyzed using SPSS. To determine the difference in mean achievement and attitudes between the two groups, data were analyzed using one-way ANOVA test. The result showed significant differences between the Realistic Mathematics Approach and the traditional approach in terms of achievement. The study showed no significant difference between the Realistic Mathematics Approach and the traditional approach in term of attitudes towards mathematics. It can be concluded that the use of realistic mathematics education approach enhanced students' mathematics achievement, but not attitudes towards mathematics. The Realistic Mathematics Education Approach encourage students to participate actively in the teaching and learning of mathematics. Thus, Realistic Mathematics Education Approach is an appropriate methods to improve the quality of teaching and learning process.
Study of mathematical models for fatigue crack propagation
Yarema, S.Ya.; Mel'nichok, L.S.
1982-01-01
Complex composition of mathematical models for description of experimental diagrams of fatigue fracture (EDFF) for different steels and alloys from the view point of their correspondence to experimental data is conducted. 5 simple formulas for EDFF description have been chosen from the known ones. It is revealed that the analytical expression should contain 6 parameters for the main peculiarities of typical EDFF. This conclusion agrees with the fact that the 6-parametric formula provides the best quality of experimental data approximation. It should be also noted that the necessary number of parameters coincides with the number of all the standard characteristics (main and additional) of cyclic crack resistance of materials
Alex Bellucco do Carmo
2012-05-01
Full Text Available We analyzed within the framework of Stephen Toulmin (2006, the process of argument started by a teacher, to build the mathematical language as a way of interpreting data from an inquiry lab about heating water. The activity was part of a inquiry teaching class that was applied in the first year of high school, at a public school in the State of São Paulo. The cooperative use of several languages was important to strengthen the various elements of the argument, while the mathematical languages such as graphical and algebraic had the role of guarantees and refuted the conclusions, giving strength to the latter.
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....
Steele, Marcee M.
2010-01-01
This article reviews characteristics of high school students with learning disabilities and presents instructional modifications and study skills to help them succeed in algebra and geometry courses and on high stakes mathematics assessments.
Maslov A. A.
2016-12-01
Full Text Available Definition of preparatory parameters for sterilization regime of canned "Natural Atlantic Mackerel with Oil" is the aim of current study. PRSC software developed at the department of automation and computer engineering is used for preparatory selection. To determine the parameters of process model, in laboratory autoclave AVK-30M the pre-trial process of sterilization and cooling in water with backpressure of canned "Natural Atlantic Mackerel with Oil" in can N 3 has been performed. Gathering information about the temperature in the autoclave sterilization chamber and the can with product has been carried out using Ellab TrackSense PRO loggers. Due to the obtained information three transfer functions for the product model have been identified: in the least heated area of autoclave, the average heated and the most heated. In PRSC programme temporary temperature dependences in the sterilization chamber have been built using this information. The model of sterilization process of canned "Natural Atlantic Mackerel with Oil" has been received after the pre-trial process. Then in the automatic mode the sterilization regime of canned "Natural Atlantic Mackerel with Oil" has been selected using the value of actual effect close to normative sterilizing effect (5.9 conditional minutes. Furthermore, in this study step-mode sterilization of canned "Natural Atlantic Mackerel with Oil" has been selected. Utilization of step-mode sterilization with the maximum temperature equal to 125 °C in the sterilization chamber allows reduce process duration by 10 %. However, the application of this regime in practice requires additional research. Using the described approach based on the developed mathematical models of the process allows receive optimal step and variable canned food sterilization regimes with high energy efficiency and product quality.
Dynamic deformation of soft soil media: Experimental studies and mathematical modeling
Balandin, V. V.; Bragov, A. M.; Igumnov, L. A.; Konstantinov, A. Yu.; Kotov, V. L.; Lomunov, A. K.
2015-05-01
A complex experimental-theoretical approach to studying the problem of high-rate strain of soft soil media is presented. This approach combines the following contemporary methods of dynamical tests: the modified Hopkinson-Kolsky method applied tomedium specimens contained in holders and the method of plane wave shock experiments. The following dynamic characteristics of sand soils are obtained: shock adiabatic curves, bulk compressibility curves, and shear resistance curves. The obtained experimental data are used to study the high-rate strain process in the system of a split pressure bar, and the constitutive relations of Grigoryan's mathematical model of soft soil medium are verified by comparing the results of computational and natural test experiments of impact and penetration.
Buckley, Finian
1993-01-01
This study examined the influence of Empathie Teaching Climate on Mathematics Learnmg'andMathematics and General School Self-Concepts, in sateen schools in Dublin, Ireland. The study required the design development and validation of the Student-Teacher Interaction Questionnaire (STIQ), which measures specific behavioural indices of classroom Teaching Empathy. The research monitored the effects of Teaching Empathy on students (N=387) in their first year of secondary schooling, as they complete...
2015-06-01
of JP-8 and a Fischer- Tropsch synthetic jet fuel following subacute inhalation exposure in rats. Toxicol Sci 116(1): 239-248. Gallinat, J...AFRL-RH-WP-TR-2015-0084 IN VITRO STUDIES AND PRELIMINARY MATHEMATICAL MODEL FOR JET FUEL AND NOISE INDUCED AUDITORY IMPAIRMENT...April 2014 – September 2014 4. TITLE AND SUBTITLE In Vitro Studies and Preliminary Mathematical Model for Jet Fuel and Noise Induced Auditory
Entrepreneurship and Process Studies
Hjorth, Daniel; Holt, Robin; Steyaert, Chris
2015-01-01
and potential of processual approaches to studying, researching and practising entrepreneurship. The articles in the issue attest to an increasing sensitivity to processual thinking. We argue that appreciating entrepreneurial phenomena processually opens up the field to an understanding of entrepreneurship...... as organizational creation – not simply the creation of new organizations but also experiments in new organizational form....
Changes in Teachers' Knowledge and Beliefs about Mathematics and Mathematics Teaching: A Case Study
Lomas, Laurinda; Clarke, Doug
2016-01-01
As teaching is a cultural activity embedded in a unique context, professional development opportunities for teachers may be best placed amid the relevance of everyday classroom practice, and supported by an innovative curriculum. This progress paper reports on data collected as part of doctoral research studying the changes in mathematical…
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.
Progress in Industrial Mathematics at ECMI 96
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...
Ludwig, E.J.
1993-01-01
Results for the period 1 Sep 92 through 31 Aug 93 are presented in nearly a hundred brief papers, some of which present new but preliminary data. Activities reported may be grouped as follows: Fundamental symmetries in the nucleus (parity-mixing measurements, time reversal invariance measurements, signatures of quantum chaos in nuclei), Internucleon reactions (neutron -- proton interactions, the neutron -- neutron scattering length, reactions between deuterons and very light nuclei), Dynamics of very light nuclei (measurements of D states of very light nuclei by transfer reactions, nuclear reactions between very light nuclei, radiative capture reactions with polarized sources), The many-nucleon problem (nuclear astrophysics, high-spin spectroscopy and superdeformation, the nuclear mean field: Dispersive relations and nucleon scattering, configuration mixing in 56 Co and 46 Sc using (d,α) reactions, radiative capture studies, high energy resolution resonance studies at 100--400 keV, nuclear data evaluation for A=3--20), Nuclear instruments and methods (FN tandem accelerator operation, KN accelerator operation and maintenance, atomic beam polarized ion source, development of techniques for determining the concentration of SF 6 in the accelerator insulating gas mixture, production of beams and targets, detector systems, updating of TeX, Psprint, and associated programs on the VAX cluster), and Educational Activities
Mathematical modeling of processes of acetoxysilane of ethylene in the domestic catalyst
D. V. Arapov
2018-01-01
Full Text Available Vinyl acetate monomer (VA serves for the production of polyvinyl alcohol, polyvinyl acetate, polyvinyl butyral, copolymers with ethylene and propylene. The world production of vinyl acetate is more than 4 million tons per year. At the present stage of industrial development, vinyl acetate is mainly produced by the catalytic synthesis of ethylene, acetic acid (OC and oxygen in a ratio of approximately 8:4:1. The conversion rate for one pass is 8 %; 18 %; 45 %. The selectivity for vinyl acetate is 91-92%. The main by-product is carbon dioxide, ethyl acetate, ethylidene diacetate – all not more than 1%. Because of its extreme fire and explosiveness, the process is relatively small. There are approximately 30 such installations in the world. In the Russian Federation, there is only one such production with a capacity of 50,000 tons per year for vinyl acetate (Lukoil, Stavrolen, which was purchased in 1975 under the license of Bayer FRG. To exclude dependence on expensive import supplies, it is important to switch this production to a domestic catalyst or produced in the CIS countries. In this connection, the authors carried out structural and parametric identification and obtained experimental data. In this paper, we present the results of the experiments performed, namely, a dynamic mathematical model for the rate of formation of the target viniacetate (activity and the secondary-carbon dioxide (DU of products, which has a fractional-nonlinear structure. It was assumed that the reaction of obtaining the VA proceeds according to the first order, and the formation of the DM is one-and-a-half. To use the model in managing a real production process, parametric identification of the most significant regression coefficients is required.
The following topics are dealt with: parallel scientific computing; numerical algorithms; parallel nonnumerical algorithms; cloud computing; evolutionary computing; metaheuristics; applied mathematics; GPU computing; multicore systems; hybrid architectures; hierarchical parallelism; HPC systems......; power monitoring; energy monitoring; and distributed computing....
Klein, Cornel; Rumpe, Bernhard; Broy, Manfred
2014-01-01
In the SysLab project we develop a software engineering method based on a mathematical foundation. The SysLab system model serves as an abstract mathematical model for information systems and their components. It is used to formalize the semantics of all used description techniques such as object diagrams state automata sequence charts or data-flow diagrams. Based on the requirements for such a reference model, we define the system model including its different views and their relationships.
Mathematical modeling of synthetic unit hydrograph case study: Citarum watershed
Islahuddin, Muhammad; Sukrainingtyas, Adiska L. A.; Kusuma, M. Syahril B.; Soewono, Edy
2015-09-01
Deriving unit hydrograph is very important in analyzing watershed's hydrologic response of a rainfall event. In most cases, hourly measures of stream flow data needed in deriving unit hydrograph are not always available. Hence, one needs to develop methods for deriving unit hydrograph for ungagged watershed. Methods that have evolved are based on theoretical or empirical formulas relating hydrograph peak discharge and timing to watershed characteristics. These are usually referred to Synthetic Unit Hydrograph. In this paper, a gamma probability density function and its variant are used as mathematical approximations of a unit hydrograph for Citarum Watershed. The model is adjusted with real field condition by translation and scaling. Optimal parameters are determined by using Particle Swarm Optimization method with weighted objective function. With these models, a synthetic unit hydrograph can be developed and hydrologic parameters can be well predicted.
Cholera dynamics with Bacteriophage infection: A mathematical study
Misra, A.K.; Gupta, Alok; Venturino, Ezio
2016-01-01
Highlights: • A mathematical model for the biological control of cholera has been proposed. • The feasibility and stability of all the equilibria have been investigated. • The ODE model is found to exhibit Hopf-bifurcation. • Conditions of global asymptotic stability have been obtained. • The impact of important parameters on cholera spread has been shown. - Abstract: Mathematical modeling of waterborne diseases, such as cholera, including a biological control using Bacteriophage viruses in the aquatic reservoirs is of great relevance in epidemiology. In this paper, our aim is twofold: at first, to understand the cholera dynamics in the region around a water body; secondly, to understand how the spread of Bacteriophage infection in the cholera bacterium V. cholerae controls the disease in the human population. For this purpose, we modify the model proposed by Codeço, for the spread of cholera infection in human population and the one proposed by Beretta and Kuang, for the spread of Bacteriophage infection in the bacteria population [1, 2]. We first discuss the feasibility and local asymptotic stability of all the possible equilibria of the proposed model. Further, in the numerical investigation, we have found that the parameter ϕ, called the phage adsorption rate, plays an important role. There is a critical value, ϕ c , at which the model possess Hopf-bifurcation. For lower values than ϕ c , the equilibrium E * is unstable and periodic solutions are observed, while above ϕ c , the equilibrium E * is locally asymptotically stable, and further shown to be also globally asymptotically stable. We investigate the effect of the various parameters on the dynamics of the infected humans by means of numerical simulations.
Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.
2011-01-01
This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…
Mathematical modeling of the in-mold coating process for injection-molded thermoplastic parts
Chen, Xu
In-Mold Coating (IMC) has been successfully used for many years for exterior body panels made from compression molded Sheet Molding Compound (SMC). The coating material is a single component reactive fluid, designed to improve the surface quality of SMC moldings in terms of functional and cosmetic properties. When injected onto a cured SMC part, IMC cures and bonds to provide a pain-like surface. Because of its distinct advantages, IMC is being considered for application to injection molded thermoplastic parts. For a successful in mold coating operation, there are two key issues related to the flow of the coating. First, the injection nozzle should be located such that the thermoplastic substrate is totally covered and the potential for air trapping is minimized. The selected location should be cosmetically acceptable since it most likely will leave a mark on the coated surface. The nozzle location also needs to be accessible for easy of maintenance. Secondly, the hydraulic force generated by the coating injection pressure should not exceed the available clamping tonnage. If the clamping force is exceeded, coating leakage will occur. In this study, mathematical models for IMC flow on the compressible thermoplastic substrate have been developed. Finite Difference Method (FDM) is first used to solve the 1 dimensional (1D) IMC flow problem. In order to investigate the application of Control Volume based Finite Element Method (CV/FEM) to more complicated two dimensional IMC flow, that method is first evaluated by solving the 1D IMC flow problem. An analytical solution, which can be obtained when a linear relationship between the coating thickness and coating injection pressure is assumed, is used to verify the numerical results. The mathematical models for the 2 dimensional (2D) IMC flow are based on the generalized Hele-Shaw approximation. It has been found experimentally that the power law viscosity model adequately predicts the rheological behavior of the coating
B. V. Phung
2017-01-01
Full Text Available The subject of research is a new type of the multirip saw machine with circular reciprocating saw blades. This machine has a number of advantages in comparison with other machines of similar purpose. The paper presents an overview of different types of saw equipment and describes basic characteristics of the machine under investigation.Using the concept of lifecycle management of the considered machine in a unified information space is necessary to improve quality and competitiveness in the current production environment. In this lifecycle all the members, namely designers, technologists, customers, etc., have a philosophy to tend to optimize the overall machine design as much as possible. However, it is not always possible to achieve. Conversely, at the boundary between the phases there are several mismatching situations, if not even conflicting inconsistencies. For example, improvement of mass characteristics can lead to poor stability and rigidity of the saw blade. Machine output improvement through increasing frequency of the machine motor rotation, on the other side, results in reducing stable ability of the saw blades and so on.In order to provide a coherent framework for the collaborative environment between the members of the life cycle, the article presents a technique to construct a mathematical model that allows combining all different members’ requirements in the unified information model. The article also gives analysis of kinematic and dynamic behavior and technological characteristics of the machine. Describes in detail all the controlled parameters, functional constraints, and quality criteria of the machine under consideration. Depending on the controlled parameters, the analytical relationships formulate functional constraints and quality criteria of the machine. The proposed algorithm allows fast and exact calculation of all the functional constraints and quality criteria of the machine for a given vector of the control
Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe
2018-03-01
A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data that would be used by two studies to research the enacted secondary school mathematics curriculum. The project aims to examine how competent experienced secondary school teachers implement the designated curriculum prescribed by the MOE in the 2013 revision of curriculum. It does this firstly by examining the video recordings of the classroom instruction and interactions between secondary school mathematics teachers and their students, as it is these interactions that fundamentally determine the nature of the actual mathematics learning and teaching that take place in the classroom. It also examines content through the instructional materials used—their preparation, use in classroom and as homework. The project comprises a video segment and a survey segment. Approximately 630 secondary mathematics teachers and 600 students are participating in the project. The data collection for the video segment of the project is guided by the renowned complementary accounts methodology while the survey segment adopts a self-report questionnaire approach. The findings of the project will serve several purposes. They will provide timely feedback to mathematics specialists in the MOE, inform pre-service and professional development programmes for mathematics teachers at the NIE and contribute towards articulation of "Mathematics pedagogy in Singapore secondary schools" that is evidence based.
Educational standardization and gender differences in mathematics achievement: A comparative study.
Ayalon, Hanna; Livneh, Idit
2013-03-01
We argue that between-country variations in the gender gap in mathematics are related to the level of educational system standardization. In countries with standardized educational systems both genders are exposed to similar knowledge and are motivated to invest in studying mathematics, which leads to similar achievements. We hypothesize that national examinations and between-teacher uniformity in covering major mathematics topics are associated with a smaller gender gap in a country. Based on Trends of International Mathematical and Science Study (TIMSS) 2003, we use multilevel regression models to compare the link of these two factors to the gender gap in 32 countries, controlling for various country characteristics. The use of national examinations and less between-teacher instructional variation prove major factors in reducing the advantage of boys over girls in mathematics scores and in the odds of excelling. Factors representing gender stratification, often analyzed in comparative gender-gap research in mathematics, are at most marginal in respect of the gap. Copyright © 2012 Elsevier Inc. All rights reserved.
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…
Utomo, Edy Setiyo; Juniati, Dwi; Siswono, Tatag Yuli Eko
2017-08-01
The aim of this research was to describe the mathematical visualization process of Junior High School students in solving contextual problems based on cognitive style. Mathematical visualization process in this research was seen from aspects of image generation, image inspection, image scanning, and image transformation. The research subject was the students in the eighth grade based on GEFT test (Group Embedded Figures Test) adopted from Within to determining the category of cognitive style owned by the students namely field independent or field dependent and communicative. The data collection was through visualization test in contextual problem and interview. The validity was seen through time triangulation. The data analysis referred to the aspect of mathematical visualization through steps of categorization, reduction, discussion, and conclusion. The results showed that field-independent and field-dependent subjects were difference in responding to contextual problems. The field-independent subject presented in the form of 2D and 3D, while the field-dependent subject presented in the form of 3D. Both of the subjects had different perception to see the swimming pool. The field-independent subject saw from the top, while the field-dependent subject from the side. The field-independent subject chose to use partition-object strategy, while the field-dependent subject chose to use general-object strategy. Both the subjects did transformation in an object rotation to get the solution. This research is reference to mathematical curriculum developers of Junior High School in Indonesia. Besides, teacher could develop the students' mathematical visualization by using technology media or software, such as geogebra, portable cabri in learning.
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
Mercy Kazima
2006-10-01
Full Text Available In their description of the mathematical work of teaching, Ball, Bass & Hill (2004 describe the mathematical problem solving that teachers do as they go about their work. In this paper we add to this description through our study of teaching of probability in a grade 8 multilingual classroom in South Africa. We use instances of teaching to highlight the mathematical problem solving that teachers might face as they work with learners’ ideas, both expected and unexpected. We discuss the restructuring of tasks as an inevitable feature of teachers’ work, and argue that in addition to scaling up or scaling down of the task as Ball et al. (2004 describe, restructuring can also entail shifting the mathematical outcomes from those intended. We also point out how well known issues in mathematics education, for example working with learners’ everyday knowledge, and the languages they bring to class, are highlighted by the context of probability, enabling additional insights into the mathematical work of teaching.
Jessen, Britta Eyrich
2014-01-01
I present the design and realisation of a SRP combining mathematics and biology. The results point to advantages of the SRP approach in terms of the way bidisciplinary work is organised, but also challenges in relation to the design process. As for the last point, the test of the designs raises...... the question to what degree of detail is it necessary to know the practice and theory of both disciplines in order to formulate questions that help students to develop the intended praxeologies, and also for the weak students to discover the need of mathematics for solving problems in other disciplines....
Somayeh Karimi
2013-11-01
Full Text Available Recent studies show that mathematics disorder is a learning disorder. Children with this disorder have math skills is much lower than mean for their age, intelligence, and education. The disorder affects the child's success at school. It is thought that up to 7% of children have this disorder. It affects boys and girls equally. It is also caused dyscalculia. The cause of this disorder is not known. Like other learning disorders, it occurs more in some families. Mathematics disorder may also be the result of damage in certain parts of the brain. It also has led to a weak understanding of mathematical concepts and increased realization of mathematics. In this study, it is tried that studied gender difference between learning disabled students' performances in mathematical activities. Findings indicated that there is not meaningful difference between genders. Since this research was case study, it seems that this difference will be indicated in vast studies. Then it suggests that have to do more study in this field for its causes.
Bozhalkina, Yana
2017-12-01
Mathematical model of the loan portfolio structure change in the form of Markov chain is explored. This model considers in one scheme both the process of customers attraction, their selection based on the credit score, and loans repayment. The model describes the structure and volume of the loan portfolio dynamics, which allows to make medium-term forecasts of profitability and risk. Within the model corrective actions of bank management in order to increase lending volumes or to reduce the risk are formalized.
The learning teacher in a collaborative lesson study team within the context of mathematics
Goei, Sui Lin; Verhoef, Neeltje Cornelia
2015-01-01
This paper summarises results of two studies on teachers’ learning when participating in a collaborative Lesson Study team within the context of mathematics teaching. In study one, Lesson Study was used in the classic way of preparing, designing, executing and reflecting on the research lesson.
Point-driven Mathematics Teaching. Studying and Intervening in Danish Classrooms
Mogensen, Arne
secondary schools emphasize such points in their teaching. Thus, 50 randomly selected mathematics teachers are filmed in one grade 8 math lesson and the dialogue investigated. The study identifies large variations and many influential components. There seems to be room for improvement. In order to examine...... possibilities to strengthen the presence and role of mathematical points in teaching two intervention studies are conducted. First a focus group of 5 of the original 50 teachers from each school are offered peer coaching by the researcher. This study indicates that different teachers appreciate peer coaching...... be supported in significant changes to a point-oriented mathematics teaching. The teachers emphasized joint planning of study lessons, and they regarded the peer coaching after each of these lessons as valuable. The studies with the two teacher groups indicate different opportunities and challenges...
Николай Григорьевич Стародубцев
2017-09-01
Full Text Available The subject of the study are methods and models for extracting information about the processes of the life cycle of radio electronic means at the design, production and operation stages. The goal is to develop the fundamentals of the theory of holistic monitoring of the life cycle of radio electronic means at the stages of their design, production and operation, in particular the development of information models for monitoring life cycle indicators in the production of radio electronic means. The attainment of this goal is achieved by solving such problems: research and development of a methodology for solving the problems of selecting informative features characterizing the state of the life cycle of radio electronic means; choice of informative features characterizing the state of the life cycle processes of radio electronic means; identification of the state of the life cycle processes of radio electronic means. To solve these problems, general scientific methods were used: the main provisions of functional analysis, nonequilibrium thermodynamics, estimation and prediction of random processes, optimization methods, pattern recognition. The following results are obtained. Methods for solving the problems of selecting informative features for monitoring the life cycle of radioelectronic facilities are developed by classifying the states of radioelectronic means and the processes of LC in the space of characteristics, each of which has a certain significance, which allowed finding a complex criterion and formalizing the selection procedures. When the number of a priori data is insufficient for a correct classification, heuristic methods of selection according to the criteria for using basic prototypes and information priorities are proposed. Conclusions. The solution of the problem of mathematical modeling of the efficiency functions of the processes of the life cycle of radioelectronic facilities and the choice of informative features for
Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses
Rima Kriauzienė
2013-08-01
Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa. Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics. Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics. It was found that there is no correlation between student opinions about school mathematics courses and result of their first test. Determine relationship between attendance of exercises and public examinations. Between the stored type of exam and test results are dependent. Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficient Based on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation. Research limitations/implications—this method is just one of the possible ways of application. Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences. Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.
Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses
Tadas Laukevičius
2011-12-01
Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa.Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics.Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics.It was found that there is no correlation between student opinions about school mathematics courses and result of their first test.Determine relationship between attendance of exercises and public examinations.Between the stored type of exam and test results are dependent.Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficientBased on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation.Research limitations/implications—this method is just one of the possible ways of application.Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences.Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.
Yuksekyalcin, Gozen; Tanriseven, Isil; Sancar-Tokmak, Hatice
2016-01-01
This case study investigated math and science teachers' perceptions about the use of creative drama during a digital story (DS) creation process for educational purposes. A total of 25 secondary science and math teachers were selected according to criterion sampling strategy to participate in the study. Data were collected through an open-ended…
Karahan, Engin; Canbazoglu Bilici, Sedef; Unal, Aycin
2015-01-01
Problem Statement: Science, technology, engineering and mathematics (STEM) education aims at improving students' knowledge and skills in science and math, and thus their attitudes and career choices in these areas. The ultimate goal in STEM education is to create scientifically literate individuals who can survive in the global economy. The…
Dual Processes in the Psychology of Mathematics Education and Cognitive Psychology
Gillard, Ellen; Van Dooren, Wim; Schaeken, Walter; Verschaffel, Lieven
2009-01-01
Research in the psychology of mathematics education has been confronted with the fact that people blatantly fail to solve tasks they are supposed to be able to solve correctly given their available domain-specific knowledge and skills. Also researchers in cognitive psychology have encountered such phenomena. In this paper, theories that have been…
Mathematics teachers’ reflective practice within the context of adapted lesson study
Barbara Posthuma
2012-11-01
Full Text Available There seems to be paucity of research in South Africa on mathematics teachers’ reflective practice. In order to study this phenomenon, the context of lesson study (in an adapted form was introduced to five mathematics teachers in a rural school in the Free State. The purpose was to investigate their reflective practice whilst they collaboratively planned mathematics lessons and reflected on the teaching of the lessons. Data were obtained through interviews, video-recorded lesson observations, field notes taken during the lesson study group meetings and document analyses (lesson plans and reflective writings. The adapted lesson study context provided a safe space for teachers to reflect on their teaching and they reported an increase in self-knowledge and finding new ways of teaching mathematics to learners. This finding has some potential value for planning professional learning programmes in which teachers are encouraged to talk about their classroom experiences, share their joys and challenges with one another and strive to build a community of reflective practitioners to enhance their learners’ understanding of mathematics.
Developing a study orientation questionnaire in Mathematics for primary school students
Van Der Walt, Martha
2009-01-01
The Study Orientation Questionnaire in Mathematics (Primary) is being developed as a diagnostic measure for South African teachers and counsellors to help primary school students improve their orientation towards the study of mathematics. In this study, participants were primary school students in the North-West Province of South Africa. During the standardisation in 2007, 1,013 students (538 boys: M age = 12.61; SD = 1.53; 555 girls: M age = 11.98; SD = 1.35; 10 missing values) were assessed...
A Study on Gendered Portrayals in Children's Picture Books with Mathematical Content
Patricia R. Ladd
2011-12-01
Full Text Available This study analyzes sexism in children's picture books that incorporate mathematical problems and problem-solving into the plot to determine if children's earliest reading material is affecting the achievement gap between males and females in this subject area. The study focused not just on overall totals of male and female characters, but also analyzed which genders most often portrayed gender stereotyped behaviors and personality traits and which characters were most often shown with mathematical skills. The findings of the study show that there were twice as many male as female characters, and the math problem-solving was generally done by males in the majority of titles.
Fehr, Howard F.
1970-01-01
Describes an experimental study attempting to construct a unified school mathematics curriculum for grades seven through twelve. Study was initiated in 1965 and is to be a six-year study. The total program includes, in the following order, syllabus writing, conferences, writing of experimental textbook, education of classroom teachers, pilot class…
A Digital Storytelling Study Project on Mathematics Course with Preschool Pre-Service Teachers
Inan, Cemil
2015-01-01
Digital storytelling technique is based on a presentation of course content in a story form using multimedia tools. In this study, digital stories were designed for mathematics instruction with preschool pre-service teachers. At the end of the six-week study, preschool students viewed the digital stories created. The study aimed to determine the…
Gu, Feishi; Gu, Lingyuan
2016-01-01
This study examines how mathematics teaching research specialists mentor practicing teachers during post-lesson debriefs of a lesson study in China. Based on a systematic, fine-grained analysis of 107 h of videotaped mentoring meetings of 20 groups of teachers and teaching research specialists from different elementary schools, this study reveals…
Barnard-Brak, Lucy; Wei, Tianlan; Schmidt, Marcelo; Sheffield, Rebecca
2014-01-01
Purpose: Few studies have examined the role of inclusivity in international assessments of student achievement, such as the TIMSS (Trends in International Mathematics and Science Study). The current study examined how the inclusivity of students with disabilities at the classroom level across countries may be associated with achievement scores,…
Pre-Service Teachers' Defensive Pessimism in Situ: Two Case Studies within a Mathematics Classroom
Merz, Alice H.; Swim, Terri Jo
2008-01-01
In this study, defensive pessimism is reviewed in relation to anxiety, self-esteem, expectations, self-regulation, and self-handicapping. Then, two case studies of American pre-service teachers in a mathematics classroom are provided that move the research beyond survey and correlational studies. In the case analyses, defensive pessimists'…
Alves, Manuela; Rodrigues, Cristina S.; Rocha, Ana Maria A. C.; Coutinho, Clara
2016-01-01
The accomplishment in mathematics has gained attention from educators and arises as an emerging field of study, including in engineering education. However, in Portugal, there is still incipient research in the area; so it is high time to explore factors that might enlighten the gap in the study of the relationship between Portuguese engineering students and the learning of mathematics. The main purpose of this study is to explore three factors identified in the literature as influencing the learning of mathematical concepts - self-efficacy, anxiety towards mathematics and perceived importance of mathematics - and search for differences by gender and by type of engineering course, a dimension not much reported in the literature but which was revealed as important in the team's previous research. Based on a sample of 140 undergraduate students of different engineering courses from University of Minho, results only identify differences in the type of course and not in gender. These results constitute a contribution and open new paths for future research in the engineering education.
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.
Performance of engineering undergraduate students in mathematics: A case study in UniMAP
Saad, Syafawati Ab.; Azziz, Nor Hizamiyani Abdul; Zakaria, Siti Aisyah; Yazid, Nornadia Mohd
2015-12-01
The purpose of this paper is to study the trend performance of the first year engineering students at a public university in Mathematics course: Engineering Mathematics I. We analyze how ethnicity factor influenced students' performance in mathematics course over three years period. The performance of the undergraduate students in this study is measured by their cumulative grade point average (CGPA) in the first semester. Analysis of Variance (ANOVA) will be used to test the significance difference between three variables (Malay, Chinese and Indian). Method of simple linear regression (SLR) is used to test the relationship between the performances and to predict the future performance for this course. The findings of the study show that Chinese students perform better than Malay and Indian students.
S. T. Antipov
2014-01-01
Full Text Available Summary. The mathematical model allowed to reproduce and study at qualitative level the change of berries form and the structure of the berries layer in the course of drying. The separate berry in the course of drying loses gradually its elasticity, decreases in volume, the peel gathers in folds, there appear internal emptiness. In the course of drying the berries layer decreases in thickness, contacting berries stick strongly with each other due to the coordinated folds of peel appearing, the layer is condensed due to penetration of the berries which have lost elasticity into emptiness between them. The model with high specification describes black currant drying process and therefore has a large number of the parameters available to change. Among them three most important technological parameters, influencing productivity and the drying quality are chosen: the power of microwave radiation P, thickness of the berries layer h, environmental pressure p. From output indicators of the model the most important are three functions from time: dependence of average humidity of the layer on time Wcp (t, dependence of the speed of change of average humidity on time dWcp (t/dt, dependence of the layer average temperature on time Tср (t. On the standard models classification the offered model is algorithmic, but not analytical. It means that output characteristics of model are calculated with the entrance ones, not by analytical transformations (it is impossible principally for the modeled process, but by means of spatial and temporary sampling and the corresponding calculation algorithm. Detailed research of the microwave drying process by means of the model allows to allocate the following stages: fast heating, the fast dehydration, the slowed-down dehydration, consolidation of a layer of a product, final drying, heating after dehydration.
Hong, Felix T
2013-09-01
Rosen classified sciences into two categories: formalizable and unformalizable. Whereas formalizable sciences expressed in terms of mathematical theories were highly valued by Rutherford, Hutchins pointed out that unformalizable parts of soft sciences are of genuine interest and importance. Attempts to build mathematical theories for biology in the past century was met with modest and sporadic successes, and only in simple systems. In this article, a qualitative model of humans' high creativity is presented as a starting point to consider whether the gap between soft and hard sciences is bridgeable. Simonton's chance-configuration theory, which mimics the process of evolution, was modified and improved. By treating problem solving as a process of pattern recognition, the known dichotomy of visual thinking vs. verbal thinking can be recast in terms of analog pattern recognition (non-algorithmic process) and digital pattern recognition (algorithmic process), respectively. Additional concepts commonly encountered in computer science, operations research and artificial intelligence were also invoked: heuristic searching, parallel and sequential processing. The refurbished chance-configuration model is now capable of explaining several long-standing puzzles in human cognition: a) why novel discoveries often came without prior warning, b) why some creators had no ideas about the source of inspiration even after the fact, c) why some creators were consistently luckier than others, and, last but not least, d) why it was so difficult to explain what intuition, inspiration, insight, hunch, serendipity, etc. are all about. The predictive power of the present model was tested by means of resolving Zeno's paradox of Achilles and the Tortoise after one deliberately invoked visual thinking. Additional evidence of its predictive power must await future large-scale field studies. The analysis was further generalized to constructions of scientific theories in general. This approach
Optimization of oil extraction process by the method of mathematical modeling
М. V. Kopylov
2017-01-01
Full Text Available The main objective of the experimental study of all processes is the analysis, study and generalization of all available results. In accordance with the idea of indexing search experiment was carried out in several stages. The number of stages and steps on each of which depended on the results of the previous stage and the ultimate goal of research. The ultimate goal of the study is to determine the optimum process conditions. Studies vegetable oil extraction process was conducted in a pilot plant set up on the basis of a single-screw Oil-presses. To ensure maximum efficiency Oil-presses without loss of quality of the finished necessary to ensure continuity and uniformity of oilseeds admission hopper. To process the experimental studies, the software complex STATISTICA 10 was applied. To obtain the regression equation, the matrix data was processed using the MS Excel software package. It is found that in order to provide the required performance Oil-presses need to set the angular speed of the screw in the range of 5.5–6.4 s-1, the value of the annular gap between the screw and curb chamber is 0.7–0.9 mm, the quantity gap curb camera of 0.16–0.18 mm. To optimize the process, the output values of the parameters converted into a dimensionless scale desirability d. In the course of the research found that the desirability of the D function, which characterizes the adequacy of the obtained values, has an extreme experience in the 8 and equal to 0.8. On the basis of the following parameters should be considered optimal obtained data: the angular speed of the screw of 6.6 to 1, the value of the annular gap between the screw and camera curb 0.92 mm, the magnitude of the gap.
Embedded Mathematics in Chemistry: A Case Study of Students' Attitudes and Mastery
Preininger, Anita M.
2017-02-01
There are many factors that shape students' attitudes toward science, technology, engineering and mathematics. This exploratory study of high school students examined the effect of enriching chemistry with math on chemistry students' attitudes toward math and careers involving math. To measure student attitudes, a survey was administered before and after the 18-week chemistry class; results from the chemistry class were compared to survey results from students in an elective science class that did not emphasize mathematics. At the end of the 18-week period, only the chemistry students exhibited more positive views toward their abilities in mathematics and careers that involve mathematics, as compared to their views at the outset of the course. To ensure that chemistry mastery was not hindered by the additional emphasis on math, and that mastery on state end-of-course examinations reflected knowledge acquired during the math-intensive chemistry class, a chemistry progress test was administered at the start and end of the term. This exploratory study suggests that emphasizing mathematical approaches in chemistry may positively influence attitudes toward math in general, as well as foster mastery of chemistry content.
G. Lebedeva
2004-06-01
Full Text Available In the publication the methodical aspects of a mathematical model of the combined parametrical analysis of an indicator process and thermal loading on the diesel engine piston have been considered. A thermodynamic model of a diesel engine cycle is developed. The executed development is intended for use during researches and on the initial stages of design work. Its realization for high revolution diesel engines of perspective type CHN15/15 allowed to choose rational variants for the organization of an indicator process and to prove power ranges of application for not cooled and created cooled oil welded pistons.
Time Processing Impairments in Preschoolers at Risk of Developing Difficulties in Mathematics
Tobia, Valentina; Rinaldi, Luca; Marzocchi, Gian Marco
2018-01-01
The occurrence of time processing problems in individuals with Development Dyscalculia (DD) has favored the view of a general magnitude system devoted to both numerical and temporal information. Yet, this scenario has been partially challenged by studies indicating that time difficulties can be attributed to poor calculation or counting skills,…
A Perception Scale on the Use of Webquests in Mathematics Teaching: A Study of Scale Development
Demir, Mevhibe Kobak; Gür, Hülya
2016-01-01
This study was aimed to develop a valid and reliable perception scale in order to determine the perceptions of pre-service teachers towards the use of WebQuest in mathematics teaching. The study was conducted with 115 junior and senior pre-service teachers at Balikesir University's Faculty of Education, Computer Education and Instructional…
Kiil, Søren
2011-01-01
A mathematical model, describing the curing behaviour of a two-component, solvent-based, thermoset coating, is used to conduct a parameter study. The model includes curing reactions, solvent intra-film diffusion and evaporation, film gelation, vitrification, and crosslinking. A case study with a ...
Buschang, Rebecca E.; Chung, Gregory K. W. K.; Kim, Jinok
2011-01-01
This study is an exploratory study of the relationship between collaboration and mathematics and game outcomes in a video game aimed at teaching concepts related to rational numbers. The sample included 243 middle school students who played the video game either with one partner or individually for 40 minutes. Results suggest that participants…
Testing the Efficacy of a Tier 2 Mathematics Intervention: A Conceptual Replication Study
Doabler, Christian T.; Clarke, Ben; Kosty, Derek B.; Kurtz-Nelson, Evangeline; Fien, Hank; Smolkowski, Keith; Baker, Scott K.
2016-01-01
The purpose of this closely aligned conceptual replication study was to investigate the efficacy of a Tier 2 kindergarten mathematics intervention. The replication study differed from the initial randomized controlled trial on three important elements: geographical region, timing of the intervention, and instructional context of the…
Huang, Rongjin; Gong, Zikun; Han, Xue
2016-01-01
Lesson study (LS) has been practiced in China as an effective way to advance teachers' professional development for decades. This study explores how LS improves teaching that promotes students' understanding. A LS group including didacticians (practice-based teaching research specialist and University-based mathematics educators) and mathematics…
A Study of the Factors Conditioning College Mathematics, 1890-1945.
Whittington, Russell, Jr.
This study attempted to determine (1) the nature of the influences conditioning college mathematics, (2) the impact of these influences, and (3) the changes which seem to have resulted during three chronological periods from 1890 to 1945. For each period of the study certain basic questions were investigated (1) learning theory in the teaching of…
The Role of E-Mentoring in Mathematically Gifted Students' Academic Life: A Case Study
Mammadov, Sakhavat; Topçu, Abdullah
2014-01-01
This qualitative inquiry presents the case study of five gifted eighth-grade students who engaged in an e-mentoring project in mathematics. The study reported in this article investigated the role of e-mentoring in gifted students' academic life. Three themes predominated in the collected data were (a) motivation, (b) effective communication and…
Nezhnov, Peter; Kardanova, Elena; Vasilyeva, Marina; Ludlow, Larry
2015-01-01
The present study tested the possibility of operationalizing levels of knowledge acquisition based on Vygotsky's theory of cognitive growth. An assessment tool (SAM-Math) was developed to capture a hypothesized hierarchical structure of mathematical knowledge consisting of procedural, conceptual, and functional levels. In Study 1, SAM-Math was…
Simpson, Amber; Che, S. Megan
2016-01-01
Utilizing a descriptive phenomenological design, this study examines the lived experiences of seven middle grade students, four females and three males, enrolled in a single-sex mathematics classroom within a coeducational school setting. The intent of the study is to understand, from students themselves, about the experience of single-sex…
Analysis of Self-Directed Learning upon Student of Mathematics Education Study Program
Kleden, Maria Agustina
2015-01-01
Various studies have rendered self-directed learning disposition to be significant in the learning of mathematics, however several previous studies have pointed the level of self-directed learning disposition to be at a low point. This research is aimed to enhance self-directed learning through implementing a metacognitive strategy in learning…
Maryono; Sutawidjaja, Akbar; Subanji; Irawati, Santi
2017-01-01
This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette…
Kamoru, Usman; Ramon, Olosunde Gbolagade
2017-01-01
This study examined the relationship between self-concept, attitude of the students towards mathematics, and math achievement. Also, this study investigated the influence of study habits on achievement; study habits on attitude of students to mathematics. The influence of gender and self-concept and study habit group on achievement and attitude…
Gulevsky, V. A.; Ryazantsev, A. A.; Nikulichev, A. A.; Menzhulova, A. S.
2018-05-01
The variety of cooling systems is dictated by a wide range of demands placed on them. This is the price, operating costs, quality of work, ecological safety, etc. These requirements in a positive sense are put into correspondence by water evaporating plate coolers. Currently, their widespread use is limited by a lack of theoretical base. To solve this problem, the best method is mathematical modeling.
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
Carter, Merilyn; Cooper, Tom; Anderson, Robyn
2016-01-01
This paper describes the pedagogical framework used by YuMi Deadly Maths, a school change process used to improve mathematics teaching and thus enhance employment and life chances for socially disadvantaged students. The framework, called the RAMR cycle, is capable of being used by mathematics teachers for planning and delivering lessons and units…
Jones Anne E
2011-02-01
Full Text Available Abstract Background A warm and humid climate triggers several water-associated diseases such as malaria. Climate- or weather-driven malaria models, therefore, allow for a better understanding of malaria transmission dynamics. The Liverpool Malaria Model (LMM is a mathematical-biological model of malaria parasite dynamics using daily temperature and precipitation data. In this study, the parameter settings of the LMM are refined and a new mathematical formulation of key processes related to the growth and size of the vector population are developed. Methods One of the most comprehensive studies to date in terms of gathering entomological and parasitological information from the literature was undertaken for the development of a new version of an existing malaria model. The knowledge was needed to allow the justification of new settings of various model parameters and motivated changes of the mathematical formulation of the LMM. Results The first part of the present study developed an improved set of parameter settings and mathematical formulation of the LMM. Important modules of the original LMM version were enhanced in order to achieve a higher biological and physical accuracy. The oviposition as well as the survival of immature mosquitoes were adjusted to field conditions via the application of a fuzzy distribution model. Key model parameters, including the mature age of mosquitoes, the survival probability of adult mosquitoes, the human blood index, the mosquito-to-human (human-to-mosquito transmission efficiency, the human infectious age, the recovery rate, as well as the gametocyte prevalence, were reassessed by means of entomological and parasitological observations. This paper also revealed that various malaria variables lack information from field studies to be set properly in a malaria modelling approach. Conclusions Due to the multitude of model parameters and the uncertainty involved in the setting of parameters, an extensive
Leonov, A.V.; Margolina, G.L.; Sokolov, A.G.
1993-01-01
The rates of production-destruction processes in water media are traditionally measured for investigation of the conditions of operation of water-ecology systems and to study the role of microorganisms in the transformation of substances of different origins. One possibility for investigation of the production-destruction process is the use of numerical analytic methods and, in particular, of imitation mathematical modeling. The task of this investigation consisted of evaluation, from observations carried out in 1989, of the rates of production-destruction processes in the water of the reservoir of the Zagorsk pumped-storage plant by means of an imitation mathematical model of a phosphorus system. The model was based on a study of the characteristics of transformation of phosphorus in the water media, as well as by comparison of evaluations of the rates of the above-mentioned processes by two methods -- an experimental one (a modification of the oxygen flask method) and an analytical one (an imitation model of a phosphorus system). 7 refs., 6 figs., 4 tabs
Mathematics Teachers' Views of Accountability Testing Revealed through Lesson Study
Yarema, Connie H.
2010-01-01
The practice of lesson study, a professional development model originating in Japan, aligns well with recommendations from research for teacher professional development. Lesson study is also an inductive research method that uncovers student thinking and, in parallel, grants teacher-educators the opportunity to study teachers' thinking about…
Hamidi, Ahd; Kreeftenberg, Hans; V D Pol, Leo; Ghimire, Saroj; V D Wielen, Luuk A M; Ottens, Marcel
2016-05-01
Vaccination is one of the most successful public health interventions being a cost-effective tool in preventing deaths among young children. The earliest vaccines were developed following empirical methods, creating vaccines by trial and error. New process development tools, for example mathematical modeling, as well as new regulatory initiatives requiring better understanding of both the product and the process are being applied to well-characterized biopharmaceuticals (for example recombinant proteins). The vaccine industry is still running behind in comparison to these industries. A production process for a new Haemophilus influenzae type b (Hib) conjugate vaccine, including related quality control (QC) tests, was developed and transferred to a number of emerging vaccine manufacturers. This contributed to a sustainable global supply of affordable Hib conjugate vaccines, as illustrated by the market launch of the first Hib vaccine based on this technology in 2007 and concomitant price reduction of Hib vaccines. This paper describes the development approach followed for this Hib conjugate vaccine as well as the mathematical modeling tool applied recently in order to indicate options for further improvements of the initial Hib process. The strategy followed during the process development of this Hib conjugate vaccine was a targeted and integrated approach based on prior knowledge and experience with similar products using multi-disciplinary expertise. Mathematical modeling was used to develop a predictive model for the initial Hib process (the 'baseline' model) as well as an 'optimized' model, by proposing a number of process changes which could lead to further reduction in price. © 2016 American Institute of Chemical Engineers Biotechnol. Prog., 32:568-580, 2016. © 2016 American Institute of Chemical Engineers.
Bemis, Douglas K.; Pylkkänen, Liina
2013-01-01
Debates surrounding the evolution of language often hinge upon its relationship to cognition more generally and many investigations have attempted to demark the boundary between the two. Though results from these studies suggest that language may recruit domain-general mechanisms during certain types of complex processing, the domain-generality of basic combinatorial mechanisms that lie at the core of linguistic processing is still unknown. Our previous work (Bemis and Pylkkänen, 2011, 2012) used magnetoencephalography to isolate neural activity associated with the simple composition of an adjective and a noun (“red boat”) and found increased activity during this processing localized to the left anterior temporal lobe (lATL), ventro-medial prefrontal cortex (vmPFC), and left angular gyrus (lAG). The present study explores the domain-generality of these effects and their associated combinatorial mechanisms through two parallel non-linguistic combinatorial tasks designed to be as minimal and natural as the linguistic paradigm. In the first task, we used pictures of colored shapes to elicit combinatorial conceptual processing similar to that evoked by the linguistic expressions and find increased activity again localized to the vmPFC during combinatorial processing. This result suggests that a domain-general semantic combinatorial mechanism operates during basic linguistic composition, and that activity generated by its processing localizes to the vmPFC. In the second task, we recorded neural activity as subjects performed simple addition between two small numerals. Consistent with a wide array of recent results, we find no effects related to basic addition that coincide with our linguistic effects and instead find increased activity localized to the intraparietal sulcus. This result suggests that the scope of the previously identified linguistic effects is restricted to compositional operations and does not extend generally to all tasks that are merely similar
Zubaidah Amir MZ
2017-08-01
Full Text Available The aim of this study is to analyze students’ Adversity Quotient (AQ in mathematics learning viewed from gender aspect. This study is quantitative survey study on students in MTs Al-Munawarah Boarding School, Pekanbaru. The subjects of study are 8th grade students consisting of 75 girls and 63 boys. Data are collected by AQ scale and analyzed with statistic descriptive and inferential (test-t. The indicator of AQ consist of control, origin, ownership, reach and endurance. The result of descriptive analysis shows that there is difference in mean of each indicator for two groups, but analysis of test-t shows that there is no difference in students’ mathematical AQ for two group of gender. Through variance test, students’ mathematical AQ in two groups is homogeneous. The indicator of AQ in boys which is categorized as high are endurance and reach. While, the indicator in girls is aspect of control. This study contributes to literature study in identifying students’ AQ and the effort done to enhance students’ AQ in mathematics learning.
The mathematical basis of business logistics as a field of study
William J. Pienaar
2006-09-01
Full Text Available This article describes the meaning of the word logistics, outlines its mathematical basis and explains the meaning thereof as a contemporary field of study. The concept of logistics management is described in a business context and the strategic, tactical and operational tiers thereof are identified. The relationship that exists between systems analysis and logistics management is indicated. The role and essence of operations research in logistics decision- making are described. The most pertinent operations research topics in the field of logistics as well as the mathematical competencies a logistician should possess, are identified.
The study of thermal processes in control systems of heat consumption of buildings
Tsynaeva, E.; A, Tsynaeva
2017-11-01
The article discusses the main thermal processes in the automated control systems for heat consumption (ACSHC) of buildings, schematic diagrams of these systems, mathematical models used for description of thermal processes in ACSHC. Conducted verification represented by mathematical models. It was found that the efficiency of the operation of ACSHC depend from the external and internal factors. Numerical study of dynamic modes of operation of ACSHC.
V. K. Bityukov
2015-01-01
Full Text Available The article is devoted to the mathematical modeling of the kinetics of ethyl benzene dehydrogenation in a two-stage adiabatic reactor with a catalytic bed functioning on continuous technology. The analysis of chemical reactions taking place parallel to the main reaction of styrene formation has been carried out on the basis of which a number of assumptions were made proceeding from which a kinetic scheme describing the mechanism of the chemical reactions during the dehydrogenation process was developed. A mathematical model of the dehydrogenation process, describing the dynamics of chemical reactions taking place in each of the two stages of the reactor block at a constant temperature is developed. The estimation of the rate constants of direct and reverse reactions of each component, formation and exhaustion of the reacted mixture was made. The dynamics of the starting material concentration variations (ethyl benzene batch was obtained as well as styrene formation dynamics and all byproducts of dehydrogenation (benzene, toluene, ethylene, carbon, hydrogen, ect.. The calculated the variations of the component composition of the reaction mixture during its passage through the first and second stages of the reactor showed that the proposed mathematical description adequately reproduces the kinetics of the process under investigation. This demonstrates the advantage of the developed model, as well as loyalty to the values found for the rate constants of reactions, which enable the use of models for calculating the kinetics of ethyl benzene dehydrogenation under nonisothermal mode in order to determine the optimal temperature trajectory of the reactor operation. In the future, it will reduce energy and resource consumption, increase the volume of produced styrene and improve the economic indexes of the process.
Integrating Study Skills and Problem Solving into Remedial Mathematics
Cornick, Jonathan; Guy, G. Michael; Beckford, Ian
2015-01-01
Students at a large urban community college enrolled in seven classes of an experimental remedial algebra programme, which integrated study skills instruction and collaborative problem solving. A control group of seven classes was taught in a traditional lecture format without study skills instruction. Student performance in the course was…
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...
Prayitno
2007-01-01
The experiment was reduction of cadmium rate with electrochemical influenced by time process, concentration, current strength and type of electrode plate. The aim of the experiment was to know the influence, mathematic model reduction of cadmium the reaction rate, reaction rate constant and reaction orde influenced by time process, concentration, current strength and type of electrode plate. Result of research indicate the time processing if using plate of copper electrode is during 30 minutes and using plate of aluminium electrode is during 20 minutes. Condition of strong current that used in process of electrochemical is only 0.8 ampere and concentration effective is 5.23 mg/l. The most effective type Al of electrode plate for reduction from waste and the efficiency of reduction is 98 %. (author)