2012-03-06
Marsha Berger, NYU) Inclusion of the Adaptation/Adjoint module, Embedded Boundary Methods in the software package Cart3D --- Transition to NASA...ONR, DOE, AFRL, DIA Cart3D used for computing Formation Flight to reduce drag and improve energy efficiency Application to Explosively Formed
Computer Mathematics: An Introduction.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
Problems for Computer Mathematics.
ERIC Educational Resources Information Center
Allison, Ronald; And Others
This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…
Mathematics Education Computer Software and Mathematics Teachers.
ERIC Educational Resources Information Center
Ozgun-Koca, S. Asli
2000-01-01
Presents results from a study that uses questionnaires to ask mathematics teachers' (N=64) opinions about mathematics education computer software. Indicates that respondents overwhelmingly favored discovery and remediation as the purpose of using software in mathematics classrooms. Teachers believed that real world situations and multiple…
Computers in the Mathematics Curriculum.
ERIC Educational Resources Information Center
Ediger, Marlow
This paper examines ways that mathematics teachers and supervisors can use computers in a quality mathematics curriculum in a school setting. Teachers and supervisors continually need to appraise the present mathematics curriculum and make necessary changes. A modern mathematics curriculum makes much use of technology. Society emphasizes heavy use…
Experimental Mathematics and Computational Statistics
Bailey, David H.; Borwein, Jonathan M.
2009-04-30
The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article we explore connections between statistics and the emerging field of 'experimental mathematics'. These includes both applications of experimental mathematics in statistics, as well as statistical methods applied to computational mathematics.
Applications of Massive Mathematical Computations
1990-04-01
computational fluid dynamics, computational astrophysics, number theory, complex analysis , Teichmuller spaces, mathematical physics and quantum field theory. In...used computational tool in industry for the solution of complex technological problems. For the highest efficiency to be realized on a parallel computer ...optimization of the code for machine execution, particularly: issues of communication, mini- mization of the computational complexity of the code
Mathematical Modeling and Computational Thinking
ERIC Educational Resources Information Center
Sanford, John F.; Naidu, Jaideep T.
2017-01-01
The paper argues that mathematical modeling is the essence of computational thinking. Learning a computer language is a valuable assistance in learning logical thinking but of less assistance when learning problem-solving skills. The paper is third in a series and presents some examples of mathematical modeling using spreadsheets at an advanced…
1989-01-01
of irreducible factors of p(A), and s is the largest Jordan block for Ail. Each pj(bj(Aij)) is nilpotent . The t-powers of this matrix have column (d...Universit6 du Quebec 4 Montreal ....................................... 140 Exact Algorithms for the Matrix -Triangularization Subresultant PRS...algorithm for computing the Smith form for integer nonsingular matrices, of cost O(n4 log2 (n)), for a matrix of dimen- sion n. The algorithm relies on
Relationship between Mental Computation and Mathematical Reasoning
ERIC Educational Resources Information Center
Gürbüz, Ramazan; Erdem, Emrullah
2016-01-01
Mental computation and mathematical reasoning are two intertwined top-level mental activities. In deciding which strategy to use when doing mental computing, mathematical reasoning is essential. From this reciprocal influence, the current study aims at examining the relationship between mental computation and mathematical reasoning. The study was…
Computer Mathematics: An Introduction. Part II.
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.
This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…
Mathematics Teachers' Attitudes toward the Computers
ERIC Educational Resources Information Center
Ocak, Mehmet A.
2005-01-01
This study reports an investigation of the effects of gender, age, and racial and ethnicity on the attitudes of mathematics teachers towards computer use. The participants of the study were mathematics teachers working in a wide range of New York public schools (n = 50). A Confidence with Computers in Mathematics Teachers (CCMT) rating scale was…
Computer Aided Learning of Mathematics: Software Evaluation
ERIC Educational Resources Information Center
Yushau, B.; Bokhari, M. A.; Wessels, D. C. J.
2004-01-01
Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…
Computer Aided Learning of Mathematics: Software Evaluation
ERIC Educational Resources Information Center
Yushau, B.; Bokhari, M. A.; Wessels, D. C. J.
2004-01-01
Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…
Algorithms in Modern Mathematics and Computer Science.
1980-01-01
A069 912 STANFORD UNIV CA DEPT OF COMPUTER SCIENCE F/6 12/1 ALGORITHMS IN MODERN MATHEMATICS AND COMPUTER SCIENCE .(U) JAN 80 D E KNUTH N00014-76-C...8217 Stanford Department of Computer Scienos aur 1980 Report No. STAN-CS-80-788 LEYEL~ rm ALGORITHMS IN MODERN MATHEMATICS AND COMPUTER SCIENCE by Donald L...Knuth 0 Oct Research sponsored by \\ ~ National Science Foun dation and Office of Naval Rlesearch COMPUTER SCIENCE DEPARlTMENT Stanford University
Mathematics for Computer Scientists: Problems and Solutions
ERIC Educational Resources Information Center
Alexander, Sylvia; Bishop, Pam; Crawford, Ewan; McCartney, Mark
2006-01-01
The results of a survey of the mathematics provision within UK university computer science departments are presented. In particular it is found that many academics are dissatisfied with the level of "mathematical preparedness" of their students. A number of recommendations and resources are suggested to address this. (Contains 6 figures.)
Computer Tutorial "Higher Mathematics" for Engineering Specialties.
ERIC Educational Resources Information Center
Slivina, Natalia A.; Krivosheev, Anatoly O.; Fomin, Sergey S.
This paper presents a CD-ROM computer tutorial titled "Higher Mathematics," that contains 17 educational mathematical programs and is intended for use in Russian university engineering education. The first section introduces the courseware climate in Russia and outlines problems with commercially available universal mathematical…
Computer-Game-Based Tutoring of Mathematics
ERIC Educational Resources Information Center
Ke, Fengfeng
2013-01-01
This in-situ, descriptive case study examined the potential of implementing computer mathematics games as an anchor for tutoring of mathematics. Data were collected from middle school students at a rural pueblo school and an urban Hispanic-serving school, through in-field observation, content analysis of game-based tutoring-learning interactions,…
Computer-Game-Based Tutoring of Mathematics
ERIC Educational Resources Information Center
Ke, Fengfeng
2013-01-01
This in-situ, descriptive case study examined the potential of implementing computer mathematics games as an anchor for tutoring of mathematics. Data were collected from middle school students at a rural pueblo school and an urban Hispanic-serving school, through in-field observation, content analysis of game-based tutoring-learning interactions,…
The Hertfordshire Computer Managed Mathematics Project.
ERIC Educational Resources Information Center
Hatfield Polytechnic (England).
This is a general information document describing the Hertfordshire Computer Managed Mathematics Project funded over a four-year period by the National Development Programme in Computer Assisted Learning. Its aims were to develop a two-year course for all-ability 11-to 13-year-old pupils and to implement a computer system to serve the course. This…
A mathematical formulation of DNA computation.
Zhang, Mingjun; Cheng, Maggie X; Tarn, Tzyh-Jong
2006-03-01
DNA computation is to use DNA molecules for information storing and processing. The task is accomplished by encoding and interpreting DNA molecules in suspended solutions before and after the complementary binding reactions. DNA computation is attractive, due to its fast parallel information processing, remarkable energy efficiency, and high storing capacity. Challenges currently faced by DNA computation are: 1) lack of theoretical computational models for applications and 2) high error rate for implementation. This paper attempts to address these problems from mathematical modeling and genetic coding aspects. The first part of this paper presents a mathematical formulation of DNA computation. The model may serve as a theoretical framework for DNA computation. In the second part, a genetic code based DNA computation approach is presented to reduce error rate for implementation, which has been a major concern for DNA computation. The method provides a promising alternative to reduce error rate for DNA computation.
Future Prospects for Computer-Assisted Mathematics
Bailey, David H.; Borwein, Jonathan M.
2005-10-26
The recent rise of ''computer-assisted'' and ''experimental'' mathematics raises intriguing questions as to the future role of computation in mathematics. These results also draw into question the traditional distinctions that have been drawn between formal proof and computationally-assisted proof. This article explores these questions in the context of the growing consensus among computer technologists that Moore's Law is likely to continue unabated for quite some time into the future, producing hardware and software much more powerful than what is available today.
Verifying a Computer Algorithm Mathematically.
ERIC Educational Resources Information Center
Olson, Alton T.
1986-01-01
Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)
Will the digital computer transform classical mathematics?
Rotman, Brian
2003-08-15
Mathematics and machines have influenced each other for millennia. The advent of the digital computer introduced a powerfully new element that promises to transform the relation between them. This paper outlines the thesis that the effect of the digital computer on mathematics, already widespread, is likely to be radical and far-reaching. To articulate this claim, an abstract model of doing mathematics is introduced based on a triad of actors of which one, the 'agent', corresponds to the function performed by the computer. The model is used to frame two sorts of transformation. The first is pragmatic and involves the alterations and progressive colonization of the content and methods of enquiry of various mathematical fields brought about by digital methods. The second is conceptual and concerns a fundamental antagonism between the infinity enshrined in classical mathematics and physics (continuity, real numbers, asymptotic definitions) and the inherently real and material limit of processes associated with digital computation. An example which lies in the intersection of classical mathematics and computer science, the P=NP problem, is analysed in the light of this latter issue.
COMPUTER ORIENTED MATHEMATICS, AN INTRODUCTION FOR TEACHERS.
ERIC Educational Resources Information Center
National Council of Teachers of Mathematics, Inc., Reston, VA.
THIS MANUAL IS INTENDED TO BE OF USE TO TEACHERS, AND TO STUDENTS IN GRADES SEVEN THROUGH TWELVE, AS ENRICHMENT OR BACKGROUND MATERIAL FOR MATHEMATICS COURSES. IT ATTEMPTS TO ESTABLISH AN UNDERSTANDING OF THE PROCESS OF LOGICAL STEP-BY-STEP ANALYSIS OF PROBLEMS FOR COMPUTERS, OF THE WAYS IN WHICH COMPUTER CAPABILITIES CAN SUGGEST DIFFERENT…
Mathematical computer programs: A compilation
NASA Technical Reports Server (NTRS)
1972-01-01
Computer programs, routines, and subroutines for aiding engineers, scientists, and mathematicians in direct problem solving are presented. Also included is a group of items that affords the same users greater flexibility in the use of software.
Computer programs: Operational and mathematical, a compilation
NASA Technical Reports Server (NTRS)
1973-01-01
Several computer programs which are available through the NASA Technology Utilization Program are outlined. Presented are: (1) Computer operational programs which can be applied to resolve procedural problems swiftly and accurately. (2) Mathematical applications for the resolution of problems encountered in numerous industries. Although the functions which these programs perform are not new and similar programs are available in many large computer center libraries, this collection may be of use to centers with limited systems libraries and for instructional purposes for new computer operators.
Teaching Mental Computation Strategies in Early Mathematics
ERIC Educational Resources Information Center
Heirdsfield, Ann Margaret
2011-01-01
Mental computation--that is, calculating in the head--is a relatively new topic in mathematics curricula for primary-age children. It is an important skill because it enables children to learn more deeply how numbers work, make decisions about procedures, and create strategies for calculating, thus promoting number sense--a well-developed…
Teaching Mental Computation Strategies in Early Mathematics
ERIC Educational Resources Information Center
Heirdsfield, Ann Margaret
2011-01-01
Mental computation--that is, calculating in the head--is a relatively new topic in mathematics curricula for primary-age children. It is an important skill because it enables children to learn more deeply how numbers work, make decisions about procedures, and create strategies for calculating, thus promoting number sense--a well-developed…
Artificial Intelligence, Computational Thinking, and Mathematics Education
ERIC Educational Resources Information Center
Gadanidis, George
2017-01-01
Purpose: The purpose of this paper is to examine the intersection of artificial intelligence (AI), computational thinking (CT), and mathematics education (ME) for young students (K-8). Specifically, it focuses on three key elements that are common to AI, CT and ME: agency, modeling of phenomena and abstracting concepts beyond specific instances.…
Teaching Mathematics with Computer Animated Videotapes.
ERIC Educational Resources Information Center
Apostol, Tom M.
1991-01-01
Described are some of the visualization techniques employed in the computer-animated videotapes generated through the blending of commentary, animated imagery, music, and special effects. Instructions for procurement are included for these tapes, which are produced by Project MATHEMATICS! at the California Institute of Technology. (JJK)
Enhancing Mathematics Education through Computer Integration.
ERIC Educational Resources Information Center
Friedman, Edward A., And Others
1991-01-01
The director of the three-year-old Stevens project, which addresses the implementation and use of computers for middle and secondary mathematics instruction, offers a progress report. Time for preparation, teacher training, and defining the changing role of the teacher are cited as key variables. Future activities are also previewed. (Author/JJK)
Teaching Mathematics Using a Computer Algebra.
ERIC Educational Resources Information Center
Westermann, Thomas
2001-01-01
Demonstrates the principal concept and the application of MAPLE in mathematical education in various examples. Discusses lengthy and abstract topics like the convergence of Fourier series to a given function, performs the visualization of the wave equation in the case of a vibrating string, and computes the oscillations of an idealized skyscraper…
Mathematical challenges from theoretical/computational chemistry
1995-12-31
The committee believes that this report has relevance and potentially valuable suggestions for a wide range of readers. Target audiences include: graduate departments in the mathematical and chemical sciences; federal and private agencies that fund research in the mathematical and chemical sciences; selected industrial and government research and development laboratories; developers of software and hardware for computational chemistry; and selected individual researchers. Chapter 2 of this report covers some history of computational chemistry for the nonspecialist, while Chapter 3 illustrates the fruits of some past successful cross-fertilization between mathematical scientists and computational/theoretical chemists. In Chapter 4 the committee has assembled a representative, but not exhaustive, survey of research opportunities. Most of these are descriptions of important open problems in computational/theoretical chemistry that could gain much from the efforts of innovative mathematical scientists, written so as to be accessible introductions to the nonspecialist. Chapter 5 is an assessment, necessarily subjective, of cultural differences that must be overcome if collaborative work is to be encouraged between the mathematical and the chemical communities. Finally, the report ends with a brief list of conclusions and recommendations that, if followed, could promote accelerated progress at this interface. Recognizing that bothersome language issues can inhibit prospects for collaborative research at the interface between distinctive disciplines, the committee has attempted throughout to maintain an accessible style, in part by using illustrative boxes, and has included at the end of the report a glossary of technical terms that may be familiar to only a subset of the target audiences listed above.
Computational mathematics and physics of fusion reactors
Garabedian, Paul R.
2003-01-01
Theory has contributed significantly to recent advances in magnetic fusion research. New configurations have been found for a stellarator experiment by computational methods. Solutions of a free-boundary problem are applied to study the performance of the plasma and look for islands in the magnetic surfaces. Mathematical analysis and numerical calculations have been used to study equilibrium, stability, and transport of optimized fusion reactors. PMID:14614129
Computer Mathematical Tools: Practical Experience of Learning to Use Them
ERIC Educational Resources Information Center
Semenikhina, Elena; Drushlyak, Marina
2014-01-01
The article contains general information about the use of specialized mathematics software in the preparation of math teachers. The authors indicate the reasons to study the mathematics software. In particular, they analyze the possibility of presenting basic mathematical courses using mathematical computer tools from both a teacher and a student,…
ERIC Educational Resources Information Center
Ardiç, Mehmet Alper; Isleyen, Tevfik
2017-01-01
This study aimed at determining the secondary school mathematics teachers' and students' views on computer-assisted mathematics instruction (CAMI) conducted via Mathematica. Accordingly, three mathematics teachers in Adiyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the…
ERIC Educational Resources Information Center
Bukova-Guzel, Esra; Canturk-Gunhan, Berna
2011-01-01
The purpose of the study is to determine prospective mathematics teachers' views about using computer-based instructional materials in constructing mathematical concepts and to reveal how the sample computer-based instructional materials for different mathematical concepts altered their views. This is a qualitative study involving twelve…
ERIC Educational Resources Information Center
Harris, Gary A.
2000-01-01
Discusses the use of a computer algebra system in a capstone mathematics course for undergraduate mathematics majors preparing to teach secondary school mathematics. Provides sample exercises intended to demonstrate how the power of a computer algebra system such as MAPLE can contribute to desired outcomes including reinforcing and strengthening…
High-Precision Computation and Mathematical Physics
Bailey, David H.; Borwein, Jonathan M.
2008-11-03
At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications, a higher level of numeric precision is required. Such calculations are facilitated by high-precision software packages that include high-level language translation modules to minimize the conversion effort. This paper presents a survey of recent applications of these techniques and provides some analysis of their numerical requirements. These applications include supernova simulations, climate modeling, planetary orbit calculations, Coulomb n-body atomic systems, scattering amplitudes of quarks, gluons and bosons, nonlinear oscillator theory, Ising theory, quantum field theory and experimental mathematics. We conclude that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.
Recommendations for an Undergraduate Program in Computational Mathematics.
ERIC Educational Resources Information Center
Committee on the Undergraduate Program in Mathematics, Berkeley, CA.
This report describes an undergraduate program designed to produce mathematicians who will know how to use and to apply computers. There is a core of 12 one-semester courses: five in mathematics, four in computational mathematics and three in computer science, leaving the senior year for electives. The content and spirit of these courses are…
A Case against Computer Symbolic Manipulation in School Mathematics Today.
ERIC Educational Resources Information Center
Waits, Bert K.; Demana, Franklin
1992-01-01
Presented are two reasons discouraging computer symbol manipulation systems use in school mathematics at present: cost for computer laboratories or expensive pocket computers; and impracticality of exact solution representations. Although development with this technology in mathematics education advances, graphing calculators are recommended to…
A Case against Computer Symbolic Manipulation in School Mathematics Today.
ERIC Educational Resources Information Center
Waits, Bert K.; Demana, Franklin
1992-01-01
Presented are two reasons discouraging computer symbol manipulation systems use in school mathematics at present: cost for computer laboratories or expensive pocket computers; and impracticality of exact solution representations. Although development with this technology in mathematics education advances, graphing calculators are recommended to…
Defining Computational Thinking for Mathematics and Science Classrooms
ERIC Educational Resources Information Center
Weintrop, David; Beheshti, Elham; Horn, Michael; Orton, Kai; Jona, Kemi; Trouille, Laura; Wilensky, Uri
2016-01-01
Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new…
Defining Computational Thinking for Mathematics and Science Classrooms
ERIC Educational Resources Information Center
Weintrop, David; Beheshti, Elham; Horn, Michael; Orton, Kai; Jona, Kemi; Trouille, Laura; Wilensky, Uri
2016-01-01
Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new…
ERIC Educational Resources Information Center
Michigan Council of Teachers of Mathematics.
This monograph is intended to be a practical introduction to computers for K-12 mathematics teachers, describing and illustrating ways in which computer technology can be used in the teaching of mathematics. It is organized according to the major ways computers are used in classrooms, and includes activities with suggested lesson outlines, BASIC…
Environmental studies: Mathematical, computational, and statistical analysis
Wheeler, M.F.
1996-12-31
The Summer Program on Mathematical, Computational, and Statistical Analyses in Environmental Studies held 6--31 July 1992 was designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in the formulation and application of (A) environmental models, (B) environmental data and data assimilation, (C) stochastic modeling and optimization, and (D) global climate modeling. These four conceptual frameworks provided common themes among a broad spectrum of specific technical topics at this workshop. The program brought forth a mix of physical concepts and processes such as chemical kinetics, atmospheric dynamics, cloud physics and dynamics, flow in porous media, remote sensing, climate statistical, stochastic processes, parameter identification, model performance evaluation, aerosol physics and chemistry, and data sampling together with mathematical concepts in stiff differential systems, advective-diffusive-reactive PDEs, inverse scattering theory, time series analysis, particle dynamics, stochastic equations, optimal control, and others. Nineteen papers are presented in this volume. Selected papers are indexed separately for inclusion in the Energy Science and Technology Database.
New computer system simplifies programming of mathematical equations
NASA Technical Reports Server (NTRS)
Reinfelds, J.; Seitz, R. N.; Wood, L. H.
1966-01-01
Automatic Mathematical Translator /AMSTRAN/ permits scientists or engineers to enter mathematical equations in their natural mathematical format and to obtain an immediate graphical display of the solution. This automatic-programming, on-line, multiterminal computer system allows experienced programmers to solve nonroutine problems.
ERIC Educational Resources Information Center
Garcia-Santillán, Arturo; Moreno-Garcia, Elena; Escalera-Chávez, Milka E.; Rojas-Kramer, Carlos A.; Pozos-Texon, Felipe
2016-01-01
Most mathematics students show a definite tendency toward an attitudinal deficiency, which can be primarily understood as intolerance to the matter, affecting their scholar performance adversely. In addition, information and communication technologies have been gradually included within the process of teaching mathematics. Such adoption of…
Defining Computational Thinking for Mathematics and Science Classrooms
NASA Astrophysics Data System (ADS)
Weintrop, David; Beheshti, Elham; Horn, Michael; Orton, Kai; Jona, Kemi; Trouille, Laura; Wilensky, Uri
2016-02-01
Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new urgency has come to the challenge of defining computational thinking and providing a theoretical grounding for what form it should take in school science and mathematics classrooms. This paper presents a response to this challenge by proposing a definition of computational thinking for mathematics and science in the form of a taxonomy consisting of four main categories: data practices, modeling and simulation practices, computational problem solving practices, and systems thinking practices. In formulating this taxonomy, we draw on the existing computational thinking literature, interviews with mathematicians and scientists, and exemplary computational thinking instructional materials. This work was undertaken as part of a larger effort to infuse computational thinking into high school science and mathematics curricular materials. In this paper, we argue for the approach of embedding computational thinking in mathematics and science contexts, present the taxonomy, and discuss how we envision the taxonomy being used to bring current educational efforts in line with the increasingly computational nature of modern science and mathematics.
[Research activities in applied mathematics, fluid mechanics, and computer science
NASA Technical Reports Server (NTRS)
1995-01-01
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period April 1, 1995 through September 30, 1995.
Research in Applied Mathematics, Fluid Mechanics and Computer Science
NASA Technical Reports Server (NTRS)
1999-01-01
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1998 through March 31, 1999.
Some Aspects of Mathematics and Computer Science in Japan,
Japan. In fact, he learned about a rather wide variety of research in various aspects of applied mathematics and computer science . The readers...Mathematics . Those interested in computer science and applications software will be most interested in the work at Fujitsu Limited and the work at the
Current problems of mathematical physics and computational mathematics
NASA Astrophysics Data System (ADS)
Tikhonov, A. N.
This collection, designed to honor the work of Academician A. A. Samarskii on his 60th birthday, treats such subjects as theoretical and mathematical physics, the general theory of numerical methods and algorithms, and the numerical study of applied problems of mechanics and plasma physics. Particular attention is given to the acceleration of charged particles by laser radiation, numerical methods for solving problems of MHD equilibrium, the use of the small-parameter method to solve differential equations, mathematical models of the initial stage of tokamak discharges, and radiative energy losses during the ultrahigh compression of laser fusion targets. Also considered are mixed strategies in differential games, methods for the numerical modeling of turbulent flows of viscous incompressible fluids, mathematical modeling of systems for the formation and focusing of charged-particle beams, and the use of variational principles in numerical modeling.
The Effects of Modern Mathematics Computer Games on Mathematics Achievement and Class Motivation
ERIC Educational Resources Information Center
Kebritchi, Mansureh; Hirumi, Atsusi; Bai, Haiyan
2010-01-01
This study examined the effects of a computer game on students' mathematics achievement and motivation, and the role of prior mathematics knowledge, computer skill, and English language skill on their achievement and motivation as they played the game. A total of 193 students and 10 teachers participated in this study. The teachers were randomly…
The Effects of Modern Mathematics Computer Games on Mathematics Achievement and Class Motivation
ERIC Educational Resources Information Center
Kebritchi, Mansureh; Hirumi, Atsusi; Bai, Haiyan
2010-01-01
This study examined the effects of a computer game on students' mathematics achievement and motivation, and the role of prior mathematics knowledge, computer skill, and English language skill on their achievement and motivation as they played the game. A total of 193 students and 10 teachers participated in this study. The teachers were randomly…
ADD/ADHD: Effects on Mathematics and Mathematical Computations
ERIC Educational Resources Information Center
Brooks, Michael D.
2007-01-01
This study evaluates research that provides an understanding about mathematical results which can be determined independently from contributing factors. The relevance of the findings is important because there are many different reasons hypothesized by researchers as to why Attention Deficit Disorder/Attentions Deficit Hyperactive Disorder…
ERIC Educational Resources Information Center
Hatfield, Larry Lee
Reported are the results of an investigation of the effects of programing a computer in a seventh grade mathematics class. Two treatments were conducted during two successive years. The students in the treatment group used the programing language BASIC to write computer algorithms following supplemental instruction. The mathematical content was…
Computer-Based Mathematics Instructions for Engineering Students
NASA Technical Reports Server (NTRS)
Khan, Mustaq A.; Wall, Curtiss E.
1996-01-01
Almost every engineering course involves mathematics in one form or another. The analytical process of developing mathematical models is very important for engineering students. However, the computational process involved in the solution of some mathematical problems may be very tedious and time consuming. There is a significant amount of mathematical software such as Mathematica, Mathcad, and Maple designed to aid in the solution of these instructional problems. The use of these packages in classroom teaching can greatly enhance understanding, and save time. Integration of computer technology in mathematics classes, without de-emphasizing the traditional analytical aspects of teaching, has proven very successful and is becoming almost essential. Sample computer laboratory modules are developed for presentation in the classroom setting. This is accomplished through the use of overhead projectors linked to graphing calculators and computers. Model problems are carefully selected from different areas.
Computer-Based Mathematics Instructions for Engineering Students
NASA Technical Reports Server (NTRS)
Khan, Mustaq A.; Wall, Curtiss E.
1996-01-01
Almost every engineering course involves mathematics in one form or another. The analytical process of developing mathematical models is very important for engineering students. However, the computational process involved in the solution of some mathematical problems may be very tedious and time consuming. There is a significant amount of mathematical software such as Mathematica, Mathcad, and Maple designed to aid in the solution of these instructional problems. The use of these packages in classroom teaching can greatly enhance understanding, and save time. Integration of computer technology in mathematics classes, without de-emphasizing the traditional analytical aspects of teaching, has proven very successful and is becoming almost essential. Sample computer laboratory modules are developed for presentation in the classroom setting. This is accomplished through the use of overhead projectors linked to graphing calculators and computers. Model problems are carefully selected from different areas.
Computation and graphics in mathematical research
Hoffman, D.A.; Spruck, J.
1992-08-13
This report discusses: The description of the GANG Project and results for prior research; the center for geometry, analysis, numerics and graphics; description of GANG Laboratory; software development at GANG; and mathematical and scientific research activities.
Influence of the Computer on the Mathematical Education of Engineers.
ERIC Educational Resources Information Center
Spies, Karl
1985-01-01
Discusses (1) the current status of computers on the mathematical training of engineers; (2) future prospects; and (3) mathematical topics that should be incorporated into precollege curricula (such as geometry and analytical geometry of parabola, ellipse, and hyperbola within the algebraic and geometric framework). (JN)
Developing Computation Competence among Students Who Struggle with Mathematics
ERIC Educational Resources Information Center
Miller, Susan P.; Stringfellow, Jennifer L.; Kaffar, Bradley J.; Ferreira, Danielle; Mancl, Dustin B.
2011-01-01
Computation instruction continues to be one of the most important aspects of the mathematics curricula. Students who fail to understand and master the foundational components of addition, subtraction, multiplication, and division are likely to experience mathematics difficulties in both their school and post-school lives. A balanced instructional…
Methodological Potential of Computer Experiment in Teaching Mathematics at University
ERIC Educational Resources Information Center
Lin, Kequan; Sokolova, Anna Nikolaevna; Vlasova, Vera K.
2017-01-01
The study is relevant due to the opportunity of increasing efficiency of teaching mathematics at university through integration of students of computer experiment conducted with the use of IT in this process. The problem of there search is defined by a contradiction between great potential opportunities of mathematics experiment for motivating and…
The Mathematics and Computer Science Learning Center (MLC).
ERIC Educational Resources Information Center
Abraham, Solomon T.
The Mathematics and Computer Science Learning Center (MLC) was established in the Department of Mathematics at North Carolina Central University during the fall semester of the 1982-83 academic year. The initial operations of the MLC were supported by grants to the University from the Burroughs-Wellcome Company and the Kenan Charitable Trust Fund.…
Evaluation of Computer Games for Learning about Mathematical Functions
ERIC Educational Resources Information Center
Tüzün, Hakan; Arkun, Selay; Bayirtepe-Yagiz, Ezgi; Kurt, Funda; Yermeydan-Ugur, Benlihan
2008-01-01
In this study, researchers evaluated the usability of game environments for teaching and learning about mathematical functions. A 3-Dimensional multi-user computer game called as "Quest Atlantis" has been used, and an educational game about mathematical functions has been developed in parallel to the Quest Atlantis' technical and…
Mathematical Level Raising through Collaborative Investigations with the Computer
ERIC Educational Resources Information Center
Pijls, Monique; Dekker, Rijkje; van Hout-Wolters, Bernadette
2003-01-01
Investigations with the computer can have different functions in the mathematical learning process, such as to let students explore a subject domain, to guide the process of reinvention, or to give them the opportunity to apply what they have learned. Which function has most effect on mathematical level raising? We investigated that question in…
Girls Back Off Mathematics Again: The Views and Experiences of Girls in Computer-Based Mathematics.
ERIC Educational Resources Information Center
Vale, Colleen
2002-01-01
Presents the views and experiences of six girls in two co-educational mathematics classrooms in which computers were regularly used. Indicates a diversity of experiences and views and multiple gender identities. Discusses implications for social justice in mathematics in the age of the information super highway. (Author/KHR)
Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment
ERIC Educational Resources Information Center
Karatas, Ilhan
2011-01-01
Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…
Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment
ERIC Educational Resources Information Center
Karatas, Ilhan
2011-01-01
Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…
Mathematical String Sculptures: A Case Study in Computationally-Enhanced Mathematical Crafts
ERIC Educational Resources Information Center
Eisenberg, Michael
2007-01-01
Mathematical string sculptures constitute an extremely beautiful realm of mathematical crafts. This snapshot begins with a description of a marvelous (and no longer manufactured) toy called Space Spider, which provided a framework with which children could experiment with string sculptures. Using a computer-controlled laser cutter to create frames…
Mathematical String Sculptures: A Case Study in Computationally-Enhanced Mathematical Crafts
ERIC Educational Resources Information Center
Eisenberg, Michael
2007-01-01
Mathematical string sculptures constitute an extremely beautiful realm of mathematical crafts. This snapshot begins with a description of a marvelous (and no longer manufactured) toy called Space Spider, which provided a framework with which children could experiment with string sculptures. Using a computer-controlled laser cutter to create frames…
Technology in Teaching Mathematics: A Computer Managed, Multimedia Mathematics Learning Center.
ERIC Educational Resources Information Center
Palow, William P.
Using a $274,300 grant from the National Science Foundation, Miami-Dade Community College augmented its Mathematics Learning Center with a multi-media, computer-assisted program of individualized instruction designed to efficiently aid the growing number of students with mathematics deficiencies. This program has three interlocking components. The…
Computer Shift Chemistry to More Mathematical Basis.
ERIC Educational Resources Information Center
Haggin, Joseph
1983-01-01
Discusses use and applications of computer technology in chemistry, indicating that the importance of the computer has not been fully realized in the realm of organic synthesis. Includes discussions of various computer programs and systems currently used, supplemented by tables highlighting, for example, features of major computer-aided synthesis…
Applied analysis/computational mathematics. Final report 1993
Lax, P.; Berger, M.
1993-12-01
This is the final report for the Courant Mathematics and Computing Laboratory (CMCL) research program for the years 1991--1993. Our research efforts encompass the formulation of physical problems in terms of mathematical models (both old and new), the mathematical analysis of such models, and their numerical resolution. This last step involves the development and implementation of efficient methods for large scale computation. Our analytic and numerical work often go hand in hand; new theoretical approaches often have numerical counterparts, while numerical experimentation often suggests avenues for analytical investigation.
Basic mathematical function libraries for scientific computation
NASA Technical Reports Server (NTRS)
Galant, David C.
1989-01-01
Ada packages implementing selected mathematical functions for the support of scientific and engineering applications were written. The packages provide the Ada programmer with the mathematical function support found in the languages Pascal and FORTRAN as well as an extended precision arithmetic and a complete complex arithmetic. The algorithms used are fully described and analyzed. Implementation assumes that the Ada type FLOAT objects fully conform to the IEEE 754-1985 standard for single binary floating-point arithmetic, and that INTEGER objects are 32-bit entities. Codes for the Ada packages are included as appendixes.
Students, Computers and Mathematics the Golden Trilogy in the Teaching-Learning Process
ERIC Educational Resources Information Center
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…
Computers in Undergraduate Education: Mathematics, Physics, Statistics, and Chemistry.
ERIC Educational Resources Information Center
Lockard, J. David
This is the report of a conference which was initiated by the National Science Foundation's Office of Computing Activities and which explored and summarized current thinking about the role of the computer for undergraduate curricula in the physical and mathematical sciences. The conference focused on deciding which goals of the existing…
Probability: Actual Trials, Computer Simulations, and Mathematical Solutions.
ERIC Educational Resources Information Center
Walton, Karen Doyle; Walton, J. Doyle
The purpose of this teaching unit is to approach elementary probability problems in three ways. First, actual trials are performed and results are recorded. Second, a simple computer simulation of the problem provided on diskette and written for Apple IIe and IIc computers, is run several times. Finally, the mathematical solution of the problem is…
Output Devices, Computation, and the Future of Mathematical Crafts.
ERIC Educational Resources Information Center
Eisenberg, Michael
2002-01-01
The advent of powerful, affordable output devices offers the potential for a vastly expanded landscape of computationally-enriched mathematical craft activities in education. Craft activities have both intellectual and emotional affordances that are relatively lacking in "traditional" computer-based education. Describes three software applications…
Output Devices, Computation, and the Future of Mathematical Crafts.
ERIC Educational Resources Information Center
Eisenberg, Michael
2002-01-01
The advent of powerful, affordable output devices offers the potential for a vastly expanded landscape of computationally-enriched mathematical craft activities in education. Craft activities have both intellectual and emotional affordances that are relatively lacking in "traditional" computer-based education. Describes three software applications…
Soloworks: Computer-Based Laboratories for High School Mathematics.
ERIC Educational Resources Information Center
Dwyer, Thomas A.
1975-01-01
The Soloworks project is based on the belief that student-controlled computing is a promising innovation in secondary mathematics instruction. The Soloworks project is following up three years of experience in the Pittsburgh public school system with a new program encorporating both student-controlled computing and modern math curricula. The work…
Computation and graphics in mathematical research
Hoffman, D.A.; Spruck, J.
1993-06-01
Current research is described on: grain boundaries and dislocations in compound polymers, boundary value problems for hypersurfaces constant Gaussian curvature, and discrete computational geometry. 19 refs, 4 figs.
Teaching Mathematics with Computers: K-8.
ERIC Educational Resources Information Center
Ropes, George H.; Swett, Shiela
Recent developments in computer technology have resulted in the increasing presence of computers throughout society. As a consequence, schools must prepare students to make effective use of this technology. The purpose of this document is to provide administrators and teachers in the state of New York with guidelines for developing and…
Retrospective Study on Mathematical Modeling Based on Computer Graphic Processing
NASA Astrophysics Data System (ADS)
Zhang, Kai Li
Graphics & image making is an important field in computer application, in which visualization software has been widely used with the characteristics of convenience and quick. However, it was thought by modeling designers that the software had been limited in it's function and flexibility because mathematics modeling platform was not built. A non-visualization graphics software appearing at this moment enabled the graphics & image design has a very good mathematics modeling platform. In the paper, a polished pyramid is established by multivariate spline function algorithm, and validate the non-visualization software is good in mathematical modeling.
Mathematical Aspects of Quantum Computing 2007
NASA Astrophysics Data System (ADS)
Nakahara, Mikio; Rahimi, Robabeh; SaiToh, Akira
2008-04-01
Quantum computing: an overview / M. Nakahara -- Braid group and topological quantum computing / T. Ootsuka, K. Sakuma -- An introduction to entanglement theory / D. J. H. Markham -- Holonomic quantum computing and its optimization / S. Tanimura -- Playing games in quantum mechanical settings: features of quantum games / S. K. Özdemir, J. Shimamura, N. Imoto -- Quantum error-correcting codes / M. Hagiwara -- Poster summaries. Controled teleportation of an arbitrary unknown two-qubit entangled state / V. Ebrahimi, R. Rahimi, M. Nakahara. Notes on the Dür-Cirac classification / Y. Ota, M. Yoshida, I. Ohba. Bang-bang control of entanglement in Spin-Bus-Boson model / R. Rahimi, A. SaiToh, M. Nakahara. Numerical computation of time-dependent multipartite nonclassical correlation / A. SaiToh ... [et al.]. On classical no-cloning theorem under Liouville dynamics and distances / T. Yamano, O. Iguchi.
Research in applied mathematics, numerical analysis, and computer science
NASA Technical Reports Server (NTRS)
1984-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering (ICASE) in applied mathematics, numerical analysis, and computer science is summarized and abstracts of published reports are presented. The major categories of the ICASE research program are: (1) numerical methods, with particular emphasis on the development and analysis of basic numerical algorithms; (2) control and parameter identification; (3) computational problems in engineering and the physical sciences, particularly fluid dynamics, acoustics, and structural analysis; and (4) computer systems and software, especially vector and parallel computers.
Mathematical modelling in the computer-aided process planning
NASA Astrophysics Data System (ADS)
Mitin, S.; Bochkarev, P.
2016-04-01
This paper presents new approaches to organization of manufacturing preparation and mathematical models related to development of the computer-aided multi product process planning (CAMPP) system. CAMPP system has some peculiarities compared to the existing computer-aided process planning (CAPP) systems: fully formalized developing of the machining operations; a capacity to create and to formalize the interrelationships among design, process planning and process implementation; procedures for consideration of the real manufacturing conditions. The paper describes the structure of the CAMPP system and shows the mathematical models and methods to formalize the design procedures.
Computed tomographic beam-hardening artefacts: mathematical characterization and analysis.
Park, Hyoung Suk; Chung, Yong Eun; Seo, Jin Keun
2015-06-13
This paper presents a mathematical characterization and analysis of beam-hardening artefacts in X-ray computed tomography (CT). In the field of dental and medical radiography, metal artefact reduction in CT is becoming increasingly important as artificial prostheses and metallic implants become more widespread in ageing populations. Metal artefacts are mainly caused by the beam-hardening of polychromatic X-ray photon beams, which causes mismatch between the actual sinogram data and the data model being the Radon transform of the unknown attenuation distribution in the CT reconstruction algorithm. We investigate the beam-hardening factor through a mathematical analysis of the discrepancy between the data and the Radon transform of the attenuation distribution at a fixed energy level. Separation of cupping artefacts from beam-hardening artefacts allows causes and effects of streaking artefacts to be analysed. Various computer simulations and experiments are performed to support our mathematical analysis.
Computed tomographic beam-hardening artefacts: mathematical characterization and analysis
Park, Hyoung Suk; Chung, Yong Eun; Seo, Jin Keun
2015-01-01
This paper presents a mathematical characterization and analysis of beam-hardening artefacts in X-ray computed tomography (CT). In the field of dental and medical radiography, metal artefact reduction in CT is becoming increasingly important as artificial prostheses and metallic implants become more widespread in ageing populations. Metal artefacts are mainly caused by the beam-hardening of polychromatic X-ray photon beams, which causes mismatch between the actual sinogram data and the data model being the Radon transform of the unknown attenuation distribution in the CT reconstruction algorithm. We investigate the beam-hardening factor through a mathematical analysis of the discrepancy between the data and the Radon transform of the attenuation distribution at a fixed energy level. Separation of cupping artefacts from beam-hardening artefacts allows causes and effects of streaking artefacts to be analysed. Various computer simulations and experiments are performed to support our mathematical analysis. PMID:25939628
ERIC Educational Resources Information Center
Aydin, Emin
2005-01-01
The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…
Computational Modeling and Mathematics Applied to the Physical Sciences.
ERIC Educational Resources Information Center
National Academy of Sciences - National Research Council, Washington, DC.
One aim of this report is to show and emphasize that in the computational approaches to most of today's pressing and challenging scientific and technological problems, the mathematical aspects cannot and should not be considered in isolation. Following an introductory chapter, chapter 2 discusses a number of typical problems leading to…
Does Computer Use Promote the Mathematical Proficiency of ELL Students?
ERIC Educational Resources Information Center
Kim, Sunha; Chang, Mido
2010-01-01
The study explored the effects of computer use on the mathematical performance of students with special attention to ELL students. To achieve a high generalizability of findings, the study used a U.S. nationally representative database, the Early Childhood Longitudinal Survey Kindergarten Cohort (ECLS-K), and adopted proper weights. The study…
Developing Interactive Learning Objects for a Computing Mathematics Module
ERIC Educational Resources Information Center
Lim, Cher Ping; Lee, Siew Lie; Richards, Cameron
2006-01-01
Based on a case study of the online component of a Computing Mathematics module at a local polytechnic in Singapore, this article provides a descriptive account of the development and employment of interactive learning objects to enhance the learning experiences of the students in the course. The experimented learning objects were branded as…
Proceedings, Conference on the Computing Environment for Mathematical Software
NASA Technical Reports Server (NTRS)
1981-01-01
Recent advances in software and hardware technology which make it economical to create computing environments appropriate for specialized applications are addressed. Topics included software tools, FORTRAN standards activity, and features of languages, operating systems, and hardware that are important for the development, testing, and maintenance of mathematical software.
Development of an Intelligent Instruction System for Mathematical Computation
ERIC Educational Resources Information Center
Kim, Du Gyu; Lee, Jaemu
2013-01-01
In this paper, we propose the development of a web-based, intelligent instruction system to help elementary school students for mathematical computation. We concentrate on the intelligence facilities which support diagnosis and advice. The existing web-based instruction systems merely give information on whether the learners' replies are…
Using Computers in Mathematics Teaching. A Collection of Case Studies.
ERIC Educational Resources Information Center
Ponte, Joao Pedro; And Others
This collection of case studies of classroom experiences in middle and secondary schools throughout the European Community describes the use of computers in mathematics education. The 16 studies are organized in four main groups: (1) experience in geometry using educational software and Logo in grades 5-10; (2) arithmetic number concepts,…
Application of Computer Aided Mathematics Teaching in a Secondary School
ERIC Educational Resources Information Center
Yenitepe, Mehmet Emin; Karadag, Zekeriya
2003-01-01
This is a case study that examines the effect of using presentations developed by teacher in addition to using commercially produced educational software CD-ROM in Audio-Visual Room/Computer Laboratory after classroom teaching, on students' academic achievement, as a method of Teaching Mathematics compared with only classroom teaching or after…
An Innovative Learning Model for Computation in First Year Mathematics
ERIC Educational Resources Information Center
Tonkes, E. J.; Loch, B. I.; Stace, A. W.
2005-01-01
MATLAB is a sophisticated software tool for numerical analysis and visualization. The University of Queensland has adopted Matlab as its official teaching package across large first year mathematics courses. In the past, the package has met severe resistance from students who have not appreciated their computational experience. Several main…
An Innovative Learning Model for Computation in First Year Mathematics
ERIC Educational Resources Information Center
Tonkes, E. J.; Loch, B. I.; Stace, A. W.
2005-01-01
MATLAB is a sophisticated software tool for numerical analysis and visualization. The University of Queensland has adopted Matlab as its official teaching package across large first year mathematics courses. In the past, the package has met severe resistance from students who have not appreciated their computational experience. Several main…
ERIC Educational Resources Information Center
Ayieko, Rachel A.; Gokbel, Elif N.; Nelson, Bryan
2017-01-01
This study uses the 2011 Trends in International Mathematics and Science Study to investigate the relationships among students' and teachers' computer use, and eighth-grade students' mathematical reasoning in three high-achieving nations: Finland, Chinese Taipei, and Singapore. The study found a significant negative relationship in all three…
The mathematical and computer modeling of the worm tool shaping
NASA Astrophysics Data System (ADS)
Panchuk, K. L.; Lyashkov, A. A.; Ayusheev, T. V.
2017-06-01
Traditionally mathematical profiling of the worm tool is carried out on the first T. Olivier method, known in the theory of gear gearings, with receiving an intermediate surface of the making lath. It complicates process of profiling and its realization by means of computer 3D-modeling. The purpose of the work is the improvement of mathematical model of profiling and its realization based on the methods of 3D-modeling. Research problems are: receiving of the mathematical model of profiling which excludes the presence of the making lath in it; realization of the received model by means of frame and superficial modeling; development and approbation of technology of solid-state modeling for the solution of the problem of profiling. As the basic, the kinematic method of research of the mutually envelope surfaces is accepted. Computer research is executed by means of CAD based on the methods of 3D-modeling. We have developed mathematical model of profiling of the worm tool; frame, superficial and solid-state models of shaping of the mutually enveloping surfaces of the detail and the tool are received. The offered mathematical models and the technologies of 3D-modeling of shaping represent tools for theoretical and experimental profiling of the worm tool. The results of researches can be used at design of metal-cutting tools.
NASA Astrophysics Data System (ADS)
Babich, M. D.; Zadiraka, V. K.; Lyudvichenko, V. A.; Sergienko, I. V.
2010-12-01
The use of various opportunities for computation optimization in computer technologies for applied and computational mathematics problems with prescribed quality characteristics is investigated. More precisely, the choice and determination of computational resources and methods of their efficient use for finding an approximate solution of problems up to prescribed accuracy in a limited amount of processor time are investigated.
Girls back off mathematics again: the views and experiences of girls in computer-based mathematics
NASA Astrophysics Data System (ADS)
Vale, Colleen
2002-12-01
The views and experiences of girls in two co-educational mathematics classrooms in which computers were regularly used were researched. Data were collected by observation and videotaping of lessons, questionnaire, and interviews of students and the teachers. In this paper case studies of six girls are presented. Their `stories' reveal a diversity of experiences and views and multiple gender identities. High achieving girls persisted as "outsiders within," other girls "backed off", and exceptional girls challenged gender stereotypes. Implications for social justice in mathematics in the age of the super highway are discussed.
Prospective Turkish Primary Teachers' Views about the Use of Computers in Mathematics Education
ERIC Educational Resources Information Center
Dogan, Mustafa
2012-01-01
The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…
Research in mathematical theory of computation. [computer programming applications
NASA Technical Reports Server (NTRS)
Mccarthy, J.
1973-01-01
Research progress in the following areas is reviewed: (1) new version of computer program LCF (logic for computable functions) including a facility to search for proofs automatically; (2) the description of the language PASCAL in terms of both LCF and in first order logic; (3) discussion of LISP semantics in LCF and attempt to prove the correctness of the London compilers in a formal way; (4) design of both special purpose and domain independent proving procedures specifically program correctness in mind; (5) design of languages for describing such proof procedures; and (6) the embedding of ideas in the first order checker.
Mathematical and computer modeling of component surface shaping
NASA Astrophysics Data System (ADS)
Lyashkov, A.
2016-04-01
The process of shaping technical surfaces is an interaction of a tool (a shape element) and a component (a formable element or a workpiece) in their relative movements. It was established that the main objects of formation are: 1) a discriminant of a surfaces family, formed by the movement of the shape element relatively the workpiece; 2) an enveloping model of the real component surface obtained after machining, including transition curves and undercut lines; 3) The model of cut-off layers obtained in the process of shaping. When modeling shaping objects there are a lot of insufficiently solved or unsolved issues that make up a single scientific problem - a problem of qualitative shaping of the surface of the tool and then the component surface produced by this tool. The improvement of known metal-cutting tools, intensive development of systems of their computer-aided design requires further improvement of the methods of shaping the mating surfaces. In this regard, an important role is played by the study of the processes of shaping of technical surfaces with the use of the positive aspects of analytical and numerical mathematical methods and techniques associated with the use of mathematical and computer modeling. The author of the paper has posed and has solved the problem of development of mathematical, geometric and algorithmic support of computer-aided design of cutting tools based on computer simulation of the shaping process of surfaces.
Learning Mathematics in Groups with Computers: Reflections on a Research Study.
ERIC Educational Resources Information Center
Hoyles, Celia; And Others
1994-01-01
Reviews the methodology for analyzing groupwork with computers in mathematics instruction. Describes how the data were analyzed and the phases through which the analysis progressed. Presents generalizations on the role of groupwork with computers in mathematics education. (CFR)
Research Area 3: Mathematical Sciences: 3.4, Discrete Mathematics and Computer Science
2015-06-10
blood glucose levels. The ideas are applied to other problems, such as analysis of terrain data and solutions of 1. REPORT DATE (DD-MM-YYYY) 4. TITLE...diagnosis of age related macular disease based on multi--spectral images, and prediction of blood glucose levels. The ideas are applied to other...point with application to blood glucose predictions, Applied Mathematics and Computation, (11 2013): 835. doi: 10.1016/j.amc.2013.09.015 S
Computers in mathematics: teacher-inservice training at a distance
NASA Astrophysics Data System (ADS)
Friedman, Edward A.; Jurkat, M. P.
1993-01-01
While research and experience show many advantages for incorporation of computer technology into secondary school mathematics instruction, less than 5 percent of the nation's teachers are actively using computers in their classrooms. This is the case even though mathematics teachers in grades 7 - 12 are often familiar with computer technology and have computers available to them in their schools. The implementation bottleneck is in-service teacher training and there are few models of effective implementation available for teachers to emulate. Stevens Institute of Technology has been active since 1988 in research and development efforts to incorporate computers into classroom use. We have found that teachers need to see examples of classroom experience with hardware and software and they need to have assistance as they experiment with applications of software and the development of lesson plans. High-band width technology can greatly facilitate teacher training in this area through transmission of video documentaries, software discussions, teleconferencing, peer interactions, classroom observations, etc. We discuss the experience that Stevens has had with face-to-face teacher training as well as with satellite-based teleconferencing using one-way video and two- way audio. Included are reviews of analyses of this project by researchers from Educational Testing Service, Princeton University, and Bank Street School of Education.
ERIC Educational Resources Information Center
Zahner, William; Moschkovich, Judit
2010-01-01
Students often voice computations during group discussions of mathematics problems. Yet, this type of private speech has received little attention from mathematics educators or researchers. In this article, we use excerpts from middle school students' group mathematical discussions to illustrate and describe "computational private…
ERIC Educational Resources Information Center
Zahner, William; Moschkovich, Judit
2010-01-01
Students often voice computations during group discussions of mathematics problems. Yet, this type of private speech has received little attention from mathematics educators or researchers. In this article, we use excerpts from middle school students' group mathematical discussions to illustrate and describe "computational private…
War of ontology worlds: mathematics, computer code, or Esperanto?
Rzhetsky, Andrey; Evans, James A
2011-09-01
The use of structured knowledge representations-ontologies and terminologies-has become standard in biomedicine. Definitions of ontologies vary widely, as do the values and philosophies that underlie them. In seeking to make these views explicit, we conducted and summarized interviews with a dozen leading ontologists. Their views clustered into three broad perspectives that we summarize as mathematics, computer code, and Esperanto. Ontology as mathematics puts the ultimate premium on rigor and logic, symmetry and consistency of representation across scientific subfields, and the inclusion of only established, non-contradictory knowledge. Ontology as computer code focuses on utility and cultivates diversity, fitting ontologies to their purpose. Like computer languages C++, Prolog, and HTML, the code perspective holds that diverse applications warrant custom designed ontologies. Ontology as Esperanto focuses on facilitating cross-disciplinary communication, knowledge cross-referencing, and computation across datasets from diverse communities. We show how these views align with classical divides in science and suggest how a synthesis of their concerns could strengthen the next generation of biomedical ontologies.
War of Ontology Worlds: Mathematics, Computer Code, or Esperanto?
Rzhetsky, Andrey; Evans, James A.
2011-01-01
The use of structured knowledge representations—ontologies and terminologies—has become standard in biomedicine. Definitions of ontologies vary widely, as do the values and philosophies that underlie them. In seeking to make these views explicit, we conducted and summarized interviews with a dozen leading ontologists. Their views clustered into three broad perspectives that we summarize as mathematics, computer code, and Esperanto. Ontology as mathematics puts the ultimate premium on rigor and logic, symmetry and consistency of representation across scientific subfields, and the inclusion of only established, non-contradictory knowledge. Ontology as computer code focuses on utility and cultivates diversity, fitting ontologies to their purpose. Like computer languages C++, Prolog, and HTML, the code perspective holds that diverse applications warrant custom designed ontologies. Ontology as Esperanto focuses on facilitating cross-disciplinary communication, knowledge cross-referencing, and computation across datasets from diverse communities. We show how these views align with classical divides in science and suggest how a synthesis of their concerns could strengthen the next generation of biomedical ontologies. PMID:21980276
[AERA. Dream machines and computing practices at the Mathematical Center].
Alberts, Gerard; De Beer, Huub T
2008-01-01
Dream machines may be just as effective as the ones materialised. Their symbolic thrust can be quite powerful. The Amsterdam 'Mathematisch Centrum' (Mathematical Center), founded February 11, 1946, created a Computing Department in an effort to realise its goal of serving society. When Aad van Wijngaarden was appointed as head of the Computing Department, however, he claimed space for scientific research and computer construction, next to computing as a service. Still, the computing service following the five stage style of Hartree's numerical analysis remained a dominant characteristic of the work of the Computing Department. The high level of ambition held by Aad van Wijngaarden lead to ever renewed projections of big automatic computers, symbolised by the never-built AERA. Even a machine that was actually constructed, the ARRA which followed A.D. Booth's design of the ARC, never made it into real operation. It did serve Van Wijngaarden to bluff his way into the computer age by midsummer 1952. Not until January 1954 did the computing department have a working stored program computer, which for reasons of policy went under the same name: ARRA. After just one other machine, the ARMAC, had been produced, a separate company, Electrologica, was set up for the manufacture of computers, which produced the rather successful X1 computer. The combination of ambition and absence of a working machine lead to a high level of work on programming, way beyond the usual ideas of libraries of subroutines. Edsger W. Dijkstra in particular led the way to an emphasis on the duties of the programmer within the pattern of numerical analysis. Programs generating programs, known elsewhere as autocoding systems, were at the 'Mathematisch Centrum' called 'superprograms'. Practical examples were usually called a 'complex', in Dutch, where in English one might say 'system'. Historically, this is where software begins. Dekker's matrix complex, Dijkstra's interrupt system, Dijkstra and
A Computational and Mathematical Model for Device Induced Thrombosis
NASA Astrophysics Data System (ADS)
Wu, Wei-Tao; Aubry, Nadine; Massoudi, Mehrdad; Antaki, James
2015-11-01
Based on the Sorenson's model of thrombus formation, a new mathematical model describing the process of thrombus growth is developed. In this model the blood is treated as a Newtonian fluid, and the transport and reactions of the chemical and biological species are modeled using CRD (convection-reaction-diffusion) equations. A computational fluid dynamic (CFD) solver for the mathematical model is developed using the libraries of OpenFOAM. Applying the CFD solver, several representative benchmark problems are studied: rapid thrombus growth in vivo by injecting Adenosine diphosphate (ADP) using iontophoretic method and thrombus growth in rectangular microchannel with a crevice which usually appears as a joint between components of devices and often becomes nidus of thrombosis. Very good agreements between the numerical and the experimental results validate the model and indicate its potential to study a host of complex and practical problems in the future, such as thrombosis in blood pumps and artificial lungs.
Mathematical and Computational Challenges in Population Biology and Ecosystems Science
NASA Technical Reports Server (NTRS)
Levin, Simon A.; Grenfell, Bryan; Hastings, Alan; Perelson, Alan S.
1997-01-01
Mathematical and computational approaches provide powerful tools in the study of problems in population biology and ecosystems science. The subject has a rich history intertwined with the development of statistics and dynamical systems theory, but recent analytical advances, coupled with the enhanced potential of high-speed computation, have opened up new vistas and presented new challenges. Key challenges involve ways to deal with the collective dynamics of heterogeneous ensembles of individuals, and to scale from small spatial regions to large ones. The central issues-understanding how detail at one scale makes its signature felt at other scales, and how to relate phenomena across scales-cut across scientific disciplines and go to the heart of algorithmic development of approaches to high-speed computation. Examples are given from ecology, genetics, epidemiology, and immunology.
Mathematical and Computational Challenges in Population Biology and Ecosystems Science
NASA Technical Reports Server (NTRS)
Levin, Simon A.; Grenfell, Bryan; Hastings, Alan; Perelson, Alan S.
1997-01-01
Mathematical and computational approaches provide powerful tools in the study of problems in population biology and ecosystems science. The subject has a rich history intertwined with the development of statistics and dynamical systems theory, but recent analytical advances, coupled with the enhanced potential of high-speed computation, have opened up new vistas and presented new challenges. Key challenges involve ways to deal with the collective dynamics of heterogeneous ensembles of individuals, and to scale from small spatial regions to large ones. The central issues-understanding how detail at one scale makes its signature felt at other scales, and how to relate phenomena across scales-cut across scientific disciplines and go to the heart of algorithmic development of approaches to high-speed computation. Examples are given from ecology, genetics, epidemiology, and immunology.
Mathematical and computational challenges in population biology and ecosystems science.
Levin, S A; Grenfell, B; Hastings, A; Perelson, A S
1997-01-17
Mathematical and computational approaches provide powerful tools in the study of problems in population biology and ecosystems science. The subject has a rich history intertwined with the development of statistics and dynamical systems theory, but recent analytical advances, coupled with the enhanced potential of high-speed computation, have opened up new vistas and presented new challenges. Key challenges involve ways to deal with the collective dynamics of heterogeneous ensembles of individuals, and to scale from small spatial regions to large ones. The central issues-understanding how detail at one scale makes its signature felt at other scales, and how to relate phenomena across scales-cut across scientific disciplines and go to the heart of algorithmic development of approaches to high-speed computation. Examples are given from ecology, genetics, epidemiology, and immunology.
ERIC Educational Resources Information Center
Piel, John A.; And Others
1994-01-01
Describes a summer mathematics institute designed for the professional development of practicing elementary teachers who need to implement NCTM (National Council of Teachers of Mathematics) standards in mathematics education. Highlights include task analysis, manipulated mathematics, computer transition activities, curriculum-based assessment, and…
ERIC Educational Resources Information Center
Piel, John A.; And Others
1994-01-01
Describes a summer mathematics institute designed for the professional development of practicing elementary teachers who need to implement NCTM (National Council of Teachers of Mathematics) standards in mathematics education. Highlights include task analysis, manipulated mathematics, computer transition activities, curriculum-based assessment, and…
Mathematical and Computational Modeling in Complex Biological Systems
Li, Wenyang; Zhu, Xiaoliang
2017-01-01
The biological process and molecular functions involved in the cancer progression remain difficult to understand for biologists and clinical doctors. Recent developments in high-throughput technologies urge the systems biology to achieve more precise models for complex diseases. Computational and mathematical models are gradually being used to help us understand the omics data produced by high-throughput experimental techniques. The use of computational models in systems biology allows us to explore the pathogenesis of complex diseases, improve our understanding of the latent molecular mechanisms, and promote treatment strategy optimization and new drug discovery. Currently, it is urgent to bridge the gap between the developments of high-throughput technologies and systemic modeling of the biological process in cancer research. In this review, we firstly studied several typical mathematical modeling approaches of biological systems in different scales and deeply analyzed their characteristics, advantages, applications, and limitations. Next, three potential research directions in systems modeling were summarized. To conclude, this review provides an update of important solutions using computational modeling approaches in systems biology. PMID:28386558
ERIC Educational Resources Information Center
Collis, Betty
1987-01-01
Attitudes toward mathematics and attitudes toward computers were examined for 1,018 grade 8 students and 800 grade 12 students. The female students were more likely than the male students to associate negative attitudes toward mathematics with negative attitudes toward computers. Participation in an eighth-grade mathematics course with a computer…
Mathematical and computational modelling of skin biophysics: a review
NASA Astrophysics Data System (ADS)
Limbert, Georges
2017-07-01
The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas.
Mathematical and computational modelling of skin biophysics: a review
2017-01-01
The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas. PMID:28804267
The 6th International Conference on Computer Science and Computational Mathematics (ICCSCM 2017)
NASA Astrophysics Data System (ADS)
2017-09-01
The ICCSCM 2017 (The 6th International Conference on Computer Science and Computational Mathematics) has aimed to provide a platform to discuss computer science and mathematics related issues including Algebraic Geometry, Algebraic Topology, Approximation Theory, Calculus of Variations, Category Theory; Homological Algebra, Coding Theory, Combinatorics, Control Theory, Cryptology, Geometry, Difference and Functional Equations, Discrete Mathematics, Dynamical Systems and Ergodic Theory, Field Theory and Polynomials, Fluid Mechanics and Solid Mechanics, Fourier Analysis, Functional Analysis, Functions of a Complex Variable, Fuzzy Mathematics, Game Theory, General Algebraic Systems, Graph Theory, Group Theory and Generalizations, Image Processing, Signal Processing and Tomography, Information Fusion, Integral Equations, Lattices, Algebraic Structures, Linear and Multilinear Algebra; Matrix Theory, Mathematical Biology and Other Natural Sciences, Mathematical Economics and Financial Mathematics, Mathematical Physics, Measure Theory and Integration, Neutrosophic Mathematics, Number Theory, Numerical Analysis, Operations Research, Optimization, Operator Theory, Ordinary and Partial Differential Equations, Potential Theory, Real Functions, Rings and Algebras, Statistical Mechanics, Structure Of Matter, Topological Groups, Wavelets and Wavelet Transforms, 3G/4G Network Evolutions, Ad-Hoc, Mobile, Wireless Networks and Mobile Computing, Agent Computing & Multi-Agents Systems, All topics related Image/Signal Processing, Any topics related Computer Networks, Any topics related ISO SC-27 and SC- 17 standards, Any topics related PKI(Public Key Intrastructures), Artifial Intelligences(A.I.) & Pattern/Image Recognitions, Authentication/Authorization Issues, Biometric authentication and algorithms, CDMA/GSM Communication Protocols, Combinatorics, Graph Theory, and Analysis of Algorithms, Cryptography and Foundation of Computer Security, Data Base(D.B.) Management & Information
Mathematical modeling and computational prediction of cancer drug resistance.
Sun, Xiaoqiang; Hu, Bin
2017-06-23
Diverse forms of resistance to anticancer drugs can lead to the failure of chemotherapy. Drug resistance is one of the most intractable issues for successfully treating cancer in current clinical practice. Effective clinical approaches that could counter drug resistance by restoring the sensitivity of tumors to the targeted agents are urgently needed. As numerous experimental results on resistance mechanisms have been obtained and a mass of high-throughput data has been accumulated, mathematical modeling and computational predictions using systematic and quantitative approaches have become increasingly important, as they can potentially provide deeper insights into resistance mechanisms, generate novel hypotheses or suggest promising treatment strategies for future testing. In this review, we first briefly summarize the current progress of experimentally revealed resistance mechanisms of targeted therapy, including genetic mechanisms, epigenetic mechanisms, posttranslational mechanisms, cellular mechanisms, microenvironmental mechanisms and pharmacokinetic mechanisms. Subsequently, we list several currently available databases and Web-based tools related to drug sensitivity and resistance. Then, we focus primarily on introducing some state-of-the-art computational methods used in drug resistance studies, including mechanism-based mathematical modeling approaches (e.g. molecular dynamics simulation, kinetic model of molecular networks, ordinary differential equation model of cellular dynamics, stochastic model, partial differential equation model, agent-based model, pharmacokinetic-pharmacodynamic model, etc.) and data-driven prediction methods (e.g. omics data-based conventional screening approach for node biomarkers, static network approach for edge biomarkers and module biomarkers, dynamic network approach for dynamic network biomarkers and dynamic module network biomarkers, etc.). Finally, we discuss several further questions and future directions for the use of
NASA Technical Reports Server (NTRS)
1987-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, and computer science during the period April, 1986 through September 30, 1986 is summarized.
NASA Technical Reports Server (NTRS)
1987-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, and computer science during the period October 1, 1986 through March 31, 1987 is summarized.
NASA Technical Reports Server (NTRS)
1988-01-01
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, and computer science during the period April l, 1988 through September 30, 1988.
Influence of Writing Ability and Computation Skill on Mathematics Writing
ERIC Educational Resources Information Center
Powell, Sarah R.; Hebert, Michael A.
2016-01-01
Mathematics standards expect students to communicate about mathematics using oral and written methods, and some high-stakes assessments ask students to answer mathematics questions by writing. Assumptions about mathematics communication via writing include (a) students possess writing skill, (b) students can transfer this writing skill to…
Influence of Writing Ability and Computation Skill on Mathematics Writing
ERIC Educational Resources Information Center
Powell, Sarah R.; Hebert, Michael A.
2016-01-01
Mathematics standards expect students to communicate about mathematics using oral and written methods, and some high-stakes assessments ask students to answer mathematics questions by writing. Assumptions about mathematics communication via writing include (a) students possess writing skill, (b) students can transfer this writing skill to…
ERIC Educational Resources Information Center
Karatas, Ilhan
2014-01-01
This study examines the effect of three different computer integration models on pre-service mathematics teachers' beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM)…
ERIC Educational Resources Information Center
Karatas, Ilhan
2014-01-01
This study examines the effect of three different computer integration models on pre-service mathematics teachers' beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM)…
High-Precision Computation: Mathematical Physics and Dynamics
Bailey, D. H.; Barrio, R.; Borwein, J. M.
2010-04-01
At the present time, IEEE 64-bit oating-point arithmetic is suficiently accurate for most scientic applications. However, for a rapidly growing body of important scientic computing applications, a higher level of numeric precision is required. Such calculations are facilitated by high-precision software packages that include high-level language translation modules to minimize the conversion e ort. This pa- per presents a survey of recent applications of these techniques and provides someanalysis of their numerical requirements. These applications include supernova simulations, climate modeling, planetary orbit calculations, Coulomb n-body atomic systems, studies of the one structure constant, scattering amplitudes of quarks, glu- ons and bosons, nonlinear oscillator theory, experimental mathematics, evaluation of orthogonal polynomials, numerical integration of ODEs, computation of periodic orbits, studies of the splitting of separatrices, detection of strange nonchaotic at- tractors, Ising theory, quantum held theory, and discrete dynamical systems. We conclude that high-precision arithmetic facilities are now an indispensable compo- nent of a modern large-scale scientic computing environment.
Using a Computer Algebra System to Facilitate the Learning of Mathematical Induction
ERIC Educational Resources Information Center
McAndrew, Alasdair
2010-01-01
Mathematical induction is one of the major proof techniques taught to mathematics students in the first years of their undergraduate degrees. In addition to its importance to mathematics, induction is also required for computer science and related disciplines. However, even if the concepts of a proof by induction are taught and understood, many…
ERIC Educational Resources Information Center
Sinkinson, Anne J.
2006-01-01
The research examines the range of effects of obtaining Specialist School status in two contrasting mathematics and computing colleges, concentrating on the mathematics department. The positive impact of a wider range of technology was evident in both schools although the inherent pedagogical perspectives within each mathematics department…
Computer Assisted Instruction in Mathematics Can Improve Students' Test Scores: A Study.
ERIC Educational Resources Information Center
Brown, Frank
This research assessed the academic impact of a computer-assisted instructional (CAI) software program to teach mathematics. The research hypothesis states that the use of the CAI program will produce superior academic achievement in mathematics for students who use the program compared to students instructed in mathematics without the program.…
ERIC Educational Resources Information Center
Erdogan, Ahmet
2010-01-01
Based on Social Cognitive Carier Theory (SCCT) (Lent, Brown, & Hackett, 1994, 2002), this study tested the effects of mathematics teacher candidates' self-efficacy in, outcome expectations from, and interest in CAME on their intentions to integrate Computer-Assisted Mathematics Education (CAME). While mathematics teacher candidates' outcome…
Using a Computer Algebra System to Facilitate the Learning of Mathematical Induction
ERIC Educational Resources Information Center
McAndrew, Alasdair
2010-01-01
Mathematical induction is one of the major proof techniques taught to mathematics students in the first years of their undergraduate degrees. In addition to its importance to mathematics, induction is also required for computer science and related disciplines. However, even if the concepts of a proof by induction are taught and understood, many…
Reasoning with Computer Code: a new Mathematical Logic
NASA Astrophysics Data System (ADS)
Pissanetzky, Sergio
2013-01-01
A logic is a mathematical model of knowledge used to study how we reason, how we describe the world, and how we infer the conclusions that determine our behavior. The logic presented here is natural. It has been experimentally observed, not designed. It represents knowledge as a causal set, includes a new type of inference based on the minimization of an action functional, and generates its own semantics, making it unnecessary to prescribe one. This logic is suitable for high-level reasoning with computer code, including tasks such as self-programming, objectoriented analysis, refactoring, systems integration, code reuse, and automated programming from sensor-acquired data. A strong theoretical foundation exists for the new logic. The inference derives laws of conservation from the permutation symmetry of the causal set, and calculates the corresponding conserved quantities. The association between symmetries and conservation laws is a fundamental and well-known law of nature and a general principle in modern theoretical Physics. The conserved quantities take the form of a nested hierarchy of invariant partitions of the given set. The logic associates elements of the set and binds them together to form the levels of the hierarchy. It is conjectured that the hierarchy corresponds to the invariant representations that the brain is known to generate. The hierarchies also represent fully object-oriented, self-generated code, that can be directly compiled and executed (when a compiler becomes available), or translated to a suitable programming language. The approach is constructivist because all entities are constructed bottom-up, with the fundamental principles of nature being at the bottom, and their existence is proved by construction. The new logic is mathematically introduced and later discussed in the context of transformations of algorithms and computer programs. We discuss what a full self-programming capability would really mean. We argue that self
Incorporation of Monte-Carlo Computer Techniques into Science and Mathematics Education.
ERIC Educational Resources Information Center
Danesh, Iraj
1987-01-01
Described is a Monte-Carlo method for modeling physical systems with a computer. Also discussed are ways to incorporate Monte-Carlo simulation techniques for introductory science and mathematics teaching and also for enriching computer and simulation courses. (RH)
Topics in Computer Literacy as Elements of Two Introductory College Mathematics Courses.
ERIC Educational Resources Information Center
Spresser, Diane M.
1986-01-01
Explains the integrated approach implemented by James Madison University, Virginia, in enhancing computer literacy. Reviews the changes in the mathematics courses and provides topical listings and outlines of the courses that emphasize computer applications. (ML)
1987-10-01
This was an instrumentation grant to purchase equipment of support of research in neural networks, information science , artificial intelligence, and applied mathematics. Computer lab equipment, motor control and robotics lab equipment, speech analysis equipment and computational vision equipment were purchased.
Mathematical Methods in Operations Research and Computer Science
1992-06-01
Journal of Mathematical Analysis and Applications . Also submitted to Journal of Mathematical Analysis and Applications . SOL...November 1989. To appear in Journal of Mathematical Analysis and Applications . SOL 89-17 ENTRIKEN, Robert E. (Ph.D. thesis) The Parallel Decomposition of...to Variational Inequality Problems, December 1989. SOL 89-19 YAO, Jen-Chih. Fixed Points by Ishikawa
Mathematical and Computational Modeling of Polymer Exchange Membrane Fuel Cells
NASA Astrophysics Data System (ADS)
Ulusoy, Sehribani
In this thesis a comprehensive review of fuel cell modeling has been given and based on the review, a general mathematical fuel cell model has been developed in order to understand the physical phenomena governing the fuel cell behavior and in order to contribute to the efforts investigating the optimum performance at different operating conditions as well as with different physical parameters. The steady state, isothermal model presented here accounts for the combined effects of mass and species transfer, momentum conservation, electrical current distribution through the gas channels, the electrodes and the membrane, and the electrochemical kinetics of the reactions in the anode and cathode catalyst layers. One of the important features of the model is that it proposes a simpler modified pseudo-homogeneous/agglomerate catalyst layer model which takes the advantage of the simplicity of pseudo-homogenous modeling while taking into account the effects of the agglomerates in the catalyst layer by using experimental geometric parameters published. The computation of the general mathematical model can be accomplished in 3D, 2D and 1D with the proper assumptions. Mainly, there are two computational domains considered in this thesis. The first modeling domain is a 2D Membrane Electrode Assembly (MEA) model including the modified agglomerate/pseudo-homogeneous catalyst layer modeling with consistent treatment of water transport in the MEA while the second domain presents a 3D model with different flow filed designs: straight, stepped and tapered. COMSOL Multiphysics along with Batteries and Fuel Cell Module have been used for 2D & 3D model computations while ANSYS FLUENT PEMFC Module has been used for only 3D two-phase computation. Both models have been validated with experimental data. With 2D MEA model, the effects of temperature and water content of the membrane as well as the equivalent weight of the membrane on the performance have been addressed. 3D COMSOL simulation
Computational and Mathematical Modeling of Coupled Superconducting Quantum Interference Devices
NASA Astrophysics Data System (ADS)
Berggren, Susan Anne Elizabeth
This research focuses on conducting an extensive computational investigation and mathematical analysis into the average voltage response of arrays of Superconducting Quantum Interference Devices (SQUIDs). These arrays will serve as the basis for the development of a sensitive, low noise, significantly lower Size, Weight and Power (SWaP) antenna integrated with Low-Noise Amplifier (LNA) using the SQUID technology. The goal for this antenna is to be capable of meeting all requirements for Guided Missile Destroyers (DDG) 1000 class ships for Information Operations/Signals Intelligence (IO/SIGINT) applications in Very High Frequency/Ultra High Frequency (V/UHF) bands. The device will increase the listening capability of receivers by moving technology into a new regime of energy detection allowing wider band, smaller size, more sensitive, stealthier systems. The smaller size and greater sensitivity will allow for ships to be “de-cluttered” of their current large dishes and devices, replacing everything with fewer and smaller SQUID antenna devices. The fewer devices present on the deck of a ship, the more invisible the ship will be to enemy forces. We invent new arrays of SQUIDs, optimized for signal detection with very high dynamic range and excellent spur-free dynamic range, while maintaining extreme small size (and low radar cross section), wide bandwidth, and environmentally noise limited sensitivity, effectively shifting the bottle neck of receiver systems forever away from the antenna itself deeper into the receiver chain. To accomplish these goals we develop and validate mathematical models for different designs of SQUID arrays and use them to invent a new device and systems design. This design is capable of significantly exceeding, per size weight and power, state-of-the-art receiver system measures of performance, such as bandwidth, sensitivity, dynamic range, and spurious-free dynamic range.
Malik, M; Camm, A J
1991-10-01
This article is the first of three articles that review mathematical and computer models of the heart and describe their construction, development, research potential, and clinical utility. This article explains the methodological principles of mathematical and computer simulation of biomedical systems. The strategies of model construction, testing, and application are presented; the advantages and limitations of computer simulation studies are explained, and the basic value of computer simulation for cardiological research and practice is discussed.
Evaluation of Computer-Assisted Instruction in Elementary Mathematics for Hearing-Impaired Students.
ERIC Educational Resources Information Center
Suppes, Patrick; And Others
A sample of approximately 385 hearing-impaired elementary and secondary school students whose mathematical achievement ranged from second to sixth grades were examined to determine the effectiveness of a computer assisted elementary mathematics program on the acquisition of computational skills. The students selected were from a population of over…
Examining Student Opinions on Computer Use Based on the Learning Styles in Mathematics Education
ERIC Educational Resources Information Center
Ozgen, Kemal; Bindak, Recep
2012-01-01
The purpose of this study is to identify the opinions of high school students, who have different learning styles, related to computer use in mathematics education. High school students' opinions on computer use in mathematics education were collected with both qualitative and quantitative approaches in the study conducted with a survey model. For…
Using the Tower of Hanoi Puzzle to Infuse Your Mathematics Classroom with Computer Science Concepts
ERIC Educational Resources Information Center
Marzocchi, Alison S.
2016-01-01
This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…
Effects of Attitudes and Behaviours on Learning Mathematics with Computer Tools
ERIC Educational Resources Information Center
Reed, Helen C.; Drijvers, Paul; Kirschner, Paul A.
2010-01-01
This mixed-methods study investigates the effects of student attitudes and behaviours on the outcomes of learning mathematics with computer tools. A computer tool was used to help students develop the mathematical concept of function. In the whole sample (N = 521), student attitudes could account for a 3.4 point difference in test scores between…
Students' Activity in Computer-Supported Collaborative Problem Solving in Mathematics
ERIC Educational Resources Information Center
Hurme, Tarja-riitta; Jarvela, Sanna
2005-01-01
The purpose of this study was to analyse secondary school students' (N = 16) computer-supported collaborative mathematical problem solving. The problem addressed in the study was: What kinds of metacognitive processes appear during computer-supported collaborative learning in mathematics? Another aim of the study was to consider the applicability…
Students' Activity in Computer-Supported Collaborative Problem Solving in Mathematics
ERIC Educational Resources Information Center
Hurme, Tarja-riitta; Jarvela, Sanna
2005-01-01
The purpose of this study was to analyse secondary school students' (N = 16) computer-supported collaborative mathematical problem solving. The problem addressed in the study was: What kinds of metacognitive processes appear during computer-supported collaborative learning in mathematics? Another aim of the study was to consider the applicability…
ERIC Educational Resources Information Center
Frith, Vera; Jaftha, Jacob; Prince, Robert
2004-01-01
This article describes a study of learning when students used interactive spreadsheet-based computer tutorials in a mathematical literacy course. It foregrounds theories relating to the role of computer technology (and specifically spreadsheets) as a mediator for learning of mathematics. It outlines the application of quantitative methods…
A Report from ICAMI: The Institute for Computer-Aided Mathematics Instruction.
ERIC Educational Resources Information Center
Avery, Chris
De Anza College's Institute for Computer-Aided Mathematics Instruction (ICAMI) is a direct outgrowth of the computer-aided mathematics program, in California, started at the California college in 1982. ICAMI focuses on the design and dissemination of effective instructional models for: (1) skill building for more efficient problem solving,…
Using the Tower of Hanoi Puzzle to Infuse Your Mathematics Classroom with Computer Science Concepts
ERIC Educational Resources Information Center
Marzocchi, Alison S.
2016-01-01
This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Hall, Keith A.; And Others
A second field test of a computer-based, mobile, in-service teacher education program in modern mathematics for elementary school teachers is reported here. Evaluations of the students' achievement and of their attitudes towards mathematics and computer-assisted instruction, as well as an analysis of the relationships among achievement, attitudes,…
Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science
ERIC Educational Resources Information Center
Macinko Kovac, Maja; Eret, Lidija
2012-01-01
This article gives insight into methodical correlation model of teaching mathematics and computer science. The model shows the way in which the related areas of computer science and mathematics can be supplemented, if it transforms the way of teaching and creates a "joint" lessons. Various didactic materials are designed, in which all…
Roles of Computer Technology in the Mathematics Education of the Gifted.
ERIC Educational Resources Information Center
Grandgenett, Neal
1991-01-01
This article reviews technological advances in educational computer use and discusses applications for computers as tools, tutors, and tutees in mathematics education of gifted students. Computer-assisted instruction, artificial intelligence, multimedia, numeric processing, computer-aided design, LOGO, robotics, and hypercard software packages are…
NASA Astrophysics Data System (ADS)
Bogdanov, Alexander; Khramushin, Vasily
2016-02-01
The architecture of a digital computing system determines the technical foundation of a unified mathematical language for exact arithmetic-logical description of phenomena and laws of continuum mechanics for applications in fluid mechanics and theoretical physics. The deep parallelization of the computing processes results in functional programming at a new technological level, providing traceability of the computing processes with automatic application of multiscale hybrid circuits and adaptive mathematical models for the true reproduction of the fundamental laws of physics and continuum mechanics.
Applied Mathematics via Student-Created Computer Graphics.
ERIC Educational Resources Information Center
Sloyer, Clifford; Smith, Lynn H.
1983-01-01
Describes topics and applications of five lessons dealing with applied mathematics (solving sequential optimization problems, queuing theory, graph theory, glyphs (pictorial techniques for displaying relationships among variables, medical mathematics). Design and evaluation of these materials which employ interactive graphics are also described.…
Using Mental Computation Training to Improve Complex Mathematical Performance
ERIC Educational Resources Information Center
Liu, Allison S.; Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A.
2015-01-01
Mathematical fluency is important for academic and mathematical success. Fluency training programs have typically focused on fostering retrieval, which leads to math performance that does not reliably transfer to non-trained problems. More recent studies have focused on training number understanding and representational precision, but few have…
Computational Technique for Teaching Mathematics (CTTM): Visualizing the Polynomial's Resultant
ERIC Educational Resources Information Center
Alves, Francisco Regis Vieira
2015-01-01
We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…
Applied Mathematics via Student-Created Computer Graphics.
ERIC Educational Resources Information Center
Sloyer, Clifford; Smith, Lynn H.
1983-01-01
Describes topics and applications of five lessons dealing with applied mathematics (solving sequential optimization problems, queuing theory, graph theory, glyphs (pictorial techniques for displaying relationships among variables, medical mathematics). Design and evaluation of these materials which employ interactive graphics are also described.…
From Manipulatives to Computation: Making the Mathematical Connection.
ERIC Educational Resources Information Center
Lewis, Karen Elaine
1985-01-01
Discusses students' inability to make the connection between manipulative materials and pencil-and-paper calculations in mathematics instruction. Outlines the development of mathematical ideas through the concrete, representational, and abstract phases of instruction. An annotated bibliography listing teacher resources for representational-level…
1996-11-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, The DOE Program in HPCC), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW).
1996-06-01
This document is intended to serve two purposes. Its first purpose is that of a program status report of the considerable progress that the Department of Energy (DOE) has made since 1993, the time of the last such report (DOE/ER-0536, {open_quotes}The DOE Program in HPCC{close_quotes}), toward achieving the goals of the High Performance Computing and Communications (HPCC) Program. The second purpose is that of a summary report of the many research programs administered by the Mathematical, Information, and Computational Sciences (MICS) Division of the Office of Energy Research under the auspices of the HPCC Program and to provide, wherever relevant, easy access to pertinent information about MICS-Division activities via universal resource locators (URLs) on the World Wide Web (WWW). The information pointed to by the URL is updated frequently, and the interested reader is urged to access the WWW for the latest information.
ERIC Educational Resources Information Center
Jaji, Gail
This document summarizes the findings of the Second International Mathematics Study relative to calculator and computer usage by students in 20 countries. Two target populations were identified. The data on these two populations were provided by three basic questionnaires: (1) a school questionnaire; (2) a teacher questionnaire; and (3) a student…
ERIC Educational Resources Information Center
Jaji, Gail
Presents a detailed discussion of the data collected on calculator and computer use in schools in 20 countries. The document includes discussion of: (1) school policy on calculator use; (2) description of populations A (8th grade students) and B (12th grade students) in the United States; (3) uses of calculators in subjects other than mathematics;…
ERIC Educational Resources Information Center
Rosenstein, Joseph G., Ed.; Franzblau, Deborah S., Ed.; Roberts, Fred S., Ed.
This book is a collection of articles by experienced educators and explains why and how discrete mathematics should be taught in K-12 classrooms. It includes evidence for "why" and practical guidance for "how" and also discusses how discrete mathematics can be used as a vehicle for achieving the broader goals of the major…
ERIC Educational Resources Information Center
Rosenstein, Joseph G., Ed.; Franzblau, Deborah S., Ed.; Roberts, Fred S., Ed.
This book is a collection of articles by experienced educators and explains why and how discrete mathematics should be taught in K-12 classrooms. It includes evidence for "why" and practical guidance for "how" and also discusses how discrete mathematics can be used as a vehicle for achieving the broader goals of the major…
2014-09-13
specialists in mathematics , logic, and computer science with diverse backgrounds rang- ing from homotopical algebra and category theory to theoretical and...AFRL-OSR-VA-TR-2014-0227 New Mathematics of Information Homotopical Steven Awodey CARNEGIE MELLON UNIVERSITY Final Report 09/24/2014 DISTRIBUTION A...RESPONSIBLE PERSON 19b. TELEPHONE NUMBER (Include area code) 13-09-2014 FINAL 15 JUNE 2011 - 30 APR 2014 FINAL REPORT FOR AWARD: "NEW MATHEMATICS OF
Electrical Circuits in the Mathematics/Computer Science Classroom.
ERIC Educational Resources Information Center
McMillan, Robert D.
1988-01-01
Shows how, with little or no electrical background, students can apply Boolean algebra concepts to design and build integrated electrical circuits in the classroom that will reinforce important ideas in mathematics. (PK)
Electrical Circuits in the Mathematics/Computer Science Classroom.
ERIC Educational Resources Information Center
McMillan, Robert D.
1988-01-01
Shows how, with little or no electrical background, students can apply Boolean algebra concepts to design and build integrated electrical circuits in the classroom that will reinforce important ideas in mathematics. (PK)
ERIC Educational Resources Information Center
Buteau, Chantal; Marshall, Neil; Jarvis, Daniel; Lavicza, Zsolt
2010-01-01
We present results of a literature review pilot study (326 papers) regarding the use of Computer Algebra Systems (CAS) in tertiary mathematics education. Several themes that have emerged from the review are discussed: diverse uses of CAS, benefits to student learning, issues of integration and mathematics learning, common and innovative usage of…
Examining the Use of Computer Algebra Systems in University-Level Mathematics Teaching
ERIC Educational Resources Information Center
Lavicza, Zsolt
2009-01-01
The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…
Partnership in Being a Specialist Mathematics and Computing College--Who Gains What, How and Why?
ERIC Educational Resources Information Center
Sinkinson, Anne J.
2007-01-01
The research took place in a mathematics and computing specialist school. The article reports on part of a case study of the mathematics department's experience of being a major contributor to the requirements of being a specialist school. This article aims to explore and describe one model of partnership within the "community" remit of…
Getting from x to y without Crashing: Computer Syntax in Mathematics Education
ERIC Educational Resources Information Center
Jeffrey, David J.
2010-01-01
When we use technology to teach mathematics, we hope to focus on the mathematics, restricting the computer software systems to providing support for our pedagogy. It is a matter of common experience, however, that students can become distracted or frustrated by the quirks of the particular software system being used. Here, experience using the…
Improving Mathematics Learning of Kindergarten Students through Computer-Assisted Instruction
ERIC Educational Resources Information Center
Foster, Matthew E.; Anthony, Jason L.; Clements, Doug H.; Sarama, Julie; Williams, Jeffrey M.
2016-01-01
This study evaluated the effects of a mathematics software program, the Building Blocks software suite, on young children's mathematics performance. Participants included 247 Kindergartners from 37 classrooms in 9 schools located in low-income communities. Children within classrooms were randomly assigned to receive 21 weeks of computer-assisted…
Research in progress in applied mathematics, numerical analysis, and computer science
NASA Technical Reports Server (NTRS)
1990-01-01
Research conducted at the Institute in Science and Engineering in applied mathematics, numerical analysis, and computer science is summarized. The Institute conducts unclassified basic research in applied mathematics in order to extend and improve problem solving capabilities in science and engineering, particularly in aeronautics and space.
ERIC Educational Resources Information Center
Lai, Shu-Ling; Repman, Judith L.
1996-01-01
Purposes of this study were to determine: (1) if analogies and elaboration and placement of the analogies help novices learning a computer-programming language; (2) if students' mathematics ability influences programming learning; and (3) the interaction effects between analogy and mathematics ability. Subjects were 156 college students. Results…
ERIC Educational Resources Information Center
Yenilmez, Kursat; Ersoy, Mehmet
2008-01-01
The purpose of this study was to determine opinions of mathematics teacher candidates towards applying 7E instructional model on computer aided instruction environments. The descriptive case study model was used in this study. The sample of the study consists of 52 mathematics teacher candidates which were selected randomly from Eskisehir…
Improving Mathematics Learning of Kindergarten Students through Computer-Assisted Instruction
ERIC Educational Resources Information Center
Foster, Matthew E.; Anthony, Jason L.; Clements, Doug H.; Sarama, Julie; Williams, Jeffrey M.
2016-01-01
This study evaluated the effects of a mathematics software program, the Building Blocks software suite, on young children's mathematics performance. Participants included 247 Kindergartners from 37 classrooms in 9 schools located in low-income communities. Children within classrooms were randomly assigned to receive 21 weeks of computer-assisted…
Disentangling the Nexus: Attitudes to Mathematics and Technology in a Computer Learning Environment.
ERIC Educational Resources Information Center
Galbraith, Peter; Haines, Chris
1998-01-01
Reviews research into the impact of technology on teaching and learning in mathematics. Discusses the relationship between affective variables and performance, and having constructed appropriate measures of attitude. Presents the results from an extensive initial study that disentangles affects related to mathematics and computing, and in doing so…
Lecturers' Perspectives on the Use of a Mathematics-Based Computer-Aided Assessment System
ERIC Educational Resources Information Center
Broughton, Stephen J.; Robinson, Carol L.; Hernandez-Martinez, Paul
2013-01-01
Computer-aided assessment (CAA) has been used at a university with one of the largest mathematics and engineering undergraduate cohorts in the UK for more than ten years. Lecturers teaching mathematics to first year students were asked about their current use of CAA in a questionnaire and in interviews. This article presents the issues that these…
Calculus and More: Computers, Finite Mathematics, and an Innovative Service Course.
ERIC Educational Resources Information Center
Hoffman, Kenneth R.
1989-01-01
A course for life science and social science students at Hampshire College is a combination of mathematics and computer science. Through actively involving students in manipulations and simulations, their appreciation for the logical and aesthetic properties of mathematical tools and their capacity for the independent work is enhanced. (MLW)
ERIC Educational Resources Information Center
Marshall, Neil; Buteau, Chantal
2014-01-01
As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…
Examining the Use of Computer Algebra Systems in University-Level Mathematics Teaching
ERIC Educational Resources Information Center
Lavicza, Zsolt
2009-01-01
The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…
Getting from x to y without Crashing: Computer Syntax in Mathematics Education
ERIC Educational Resources Information Center
Jeffrey, David J.
2010-01-01
When we use technology to teach mathematics, we hope to focus on the mathematics, restricting the computer software systems to providing support for our pedagogy. It is a matter of common experience, however, that students can become distracted or frustrated by the quirks of the particular software system being used. Here, experience using the…
ERIC Educational Resources Information Center
Holahan, Patricia J.; Jurkat, M. Peter; Friedman, Edward A.
2000-01-01
Describes the development of the Mentor Teacher Model that trained middle school and high school mathematics teachers in New Jersey as mentor teachers in the effective use of computer-based technologies for teaching mathematics. Highlights include student-centered teaching methods; cooperative learning; problem-solving activities; and technology…
Effects of Computer Assisted Instruction on Mathematics and Locus of Control.
ERIC Educational Resources Information Center
Reglin, Gary L.
South Carolina requires that prospective teachers pass an Education Entrance Examination (EEE) consisting of three parts--writing, reading, and mathematics. Minorities are having difficulty passing the mathematics portion of this test. This study investigated the effects of computer-assisted instruction (CAI) on basic skills mathematics…
A Study of the Use of a Handheld Computer Algebra System in Discrete Mathematics
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Buteau, Chantal; Marshall, Neil; Jarvis, Daniel; Lavicza, Zsolt
2010-01-01
We present results of a literature review pilot study (326 papers) regarding the use of Computer Algebra Systems (CAS) in tertiary mathematics education. Several themes that have emerged from the review are discussed: diverse uses of CAS, benefits to student learning, issues of integration and mathematics learning, common and innovative usage of…
ERIC Educational Resources Information Center
Marshall, Neil; Buteau, Chantal
2014-01-01
As part of their undergraduate mathematics curriculum, students at Brock University learn to create and use computer-based tools with dynamic, visual interfaces, called Exploratory Objects, developed for the purpose of conducting pure or applied mathematical investigations. A student's Development Process Model of creating and using an Exploratory…
The Gap between Expectations and Reality: Integrating Computers into Mathematics Classrooms
ERIC Educational Resources Information Center
Guven, Bulent; Cakiroglu, Unal; Akkan, Yasar
2009-01-01
As a result of dramatic changes in mathematics education around the world, in Turkey both elementary and secondary school mathematics curriculums have changed in the light of new demands since 2005. In order to perform the expected change in newly developed curriculum, computer should be integrated into learning and teaching process. Teachers'…
ERIC Educational Resources Information Center
Mwei, Philip K.; Wando, Dave; Too, Jackson K.
2012-01-01
This paper reports the results of research conducted in six classes (Form IV) with 205 students with a sample of 94 respondents. Data represent students' statements that describe (a) the role of Mathematics teachers in a computer-assisted instruction (CAI) environment and (b) effectiveness of CAI in Mathematics instruction. The results indicated…
Students' Mathematics Word Problem-Solving Achievement in a Computer-Based Story
ERIC Educational Resources Information Center
Gunbas, N.
2015-01-01
The purpose of this study was to investigate the effect of a computer-based story, which was designed in anchored instruction framework, on sixth-grade students' mathematics word problem-solving achievement. Problems were embedded in a story presented on a computer as computer story, and then compared with the paper-based version of the same story…
Implementing Computer Algebra Enabled Questions for the Assessment and Learning of Mathematics
ERIC Educational Resources Information Center
Sangwin, Christopher J.; Naismith, Laura
2008-01-01
We present principles for the design of an online system to support computer algebra enabled questions for use within the teaching and learning of mathematics in higher education. The introduction of a computer algebra system (CAS) into a computer aided assessment (CAA) system affords sophisticated response processing of student provided answers.…
Implementing Computer Algebra Enabled Questions for the Assessment and Learning of Mathematics
ERIC Educational Resources Information Center
Sangwin, Christopher J.; Naismith, Laura
2008-01-01
We present principles for the design of an online system to support computer algebra enabled questions for use within the teaching and learning of mathematics in higher education. The introduction of a computer algebra system (CAS) into a computer aided assessment (CAA) system affords sophisticated response processing of student provided answers.…
ERIC Educational Resources Information Center
Stultz, Sherry L.
2013-01-01
Using computers to teach students is not a new idea. Computers have been utilized for educational purposes for over 80 years. However, the effectiveness of these programs for teaching mathematics to students with specific learning disability is unclear. This study was undertaken to determine if computer-assisted instruction was as effective as…
Students' Mathematics Word Problem-Solving Achievement in a Computer-Based Story
ERIC Educational Resources Information Center
Gunbas, N.
2015-01-01
The purpose of this study was to investigate the effect of a computer-based story, which was designed in anchored instruction framework, on sixth-grade students' mathematics word problem-solving achievement. Problems were embedded in a story presented on a computer as computer story, and then compared with the paper-based version of the same story…
Incorporating Computer Literacy into a Mathematics Course for Preservice Elementary Teachers.
ERIC Educational Resources Information Center
Dewar, Jacqueline M.
1986-01-01
Teaching computer literacy to preservice teachers is advocated. How such a component was added to a mathematics course for preservice elementary teachers at Loyola Marymount University in Los Angeles is described. (MNS)
Physics, Computer Science and Mathematics Division. Annual report, 1 January-31 December 1979
Lepore, J.V.
1980-09-01
This annual report describes the research work carried out by the Physics, Computer Science and Mathematics Division during 1979. The major research effort of the Division remained High Energy Particle Physics with emphasis on preparing for experiments to be carried out at PEP. The largest effort in this field was for development and construction of the Time Projection Chamber, a powerful new particle detector. This work took a large fraction of the effort of the physics staff of the Division together with the equivalent of more than a hundred staff members in the Engineering Departments and shops. Research in the Computer Science and Mathematics Department of the Division (CSAM) has been rapidly expanding during the last few years. Cross fertilization of ideas and talents resulting from the diversity of effort in the Physics, Computer Science and Mathematics Division contributed to the software design for the Time Projection Chamber, made by the Computer Science and Applied Mathematics Department.
NASA Technical Reports Server (NTRS)
1994-01-01
This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1993 through March 31, 1994. The major categories of the current ICASE research program are: (1) applied and numerical mathematics, including numerical analysis and algorithm development; (2) theoretical and computational research in fluid mechanics in selected areas of interest to LaRC, including acoustics and combustion; (3) experimental research in transition and turbulence and aerodynamics involving LaRC facilities and scientists; and (4) computer science.
Mathematical Methods in the Atmospheric Sciences and Related Computational Methods.
1979-11-01
AD-AO76 242 SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS PIILA--ETC F /B 12/1 MATHEMATICAL METHODS IN THE ATMOSPHERIC SCIENCES AND RELATED CO...Hydrodynamic Aspects of Turbulence" C.E. Leith, NCAR EC TE "Statistical Properties of Climate Systems" U 7 1980 E.N. Lorenz, MIT (Represented by R. Errico ) U...Differential Equations" D . Gottlieb, Tel-Aviv University "Spectral Methods for Partial Differential Equations" H.-O. Kreiss, CIT Initialization Methods for
ERIC Educational Resources Information Center
Heimer, Ralph T., Ed.
The preface to this book notes the relationship of its contents to the 1968 conference "to appraise mathematics educators of the present status and future prospects of computer-assisted instruction (CAI) and its implications for the teaching of mathematics." The introduction, "Computers in Mathematics and Other Education," was the keynote address…
Mathematical and computational modeling simulation of solar drying Systems
USDA-ARS?s Scientific Manuscript database
Mathematical modeling of solar drying systems has the primary aim of predicting the required drying time for a given commodity, dryer type, and environment. Both fundamental (Fickian diffusion) and semi-empirical drying models have been applied to the solar drying of a variety of agricultural commo...
Trigonometry--Mathematical Curricular Areas and Instructional Computing.
ERIC Educational Resources Information Center
Frandsen, Henry
1981-01-01
The computer has enormous potential for enhancing the secondary trigonometry curriculum. Areas that can be improved through use of the computer include: solutions of triangles, inductive investigations of functions, graphs of functions, and solution of trigonometric identities. (JN)
Trigonometry--Mathematical Curricular Areas and Instructional Computing.
ERIC Educational Resources Information Center
Frandsen, Henry
1981-01-01
The computer has enormous potential for enhancing the secondary trigonometry curriculum. Areas that can be improved through use of the computer include: solutions of triangles, inductive investigations of functions, graphs of functions, and solution of trigonometric identities. (JN)
Ideal and computer mathematics applied to meshfree methods
NASA Astrophysics Data System (ADS)
Kansa, E.
2016-10-01
Early numerical methods to solve ordinary and partial differential relied upon human computers who used mechanical devices. The algorithms used changed little over the evolution of electronic computers having only low order convergence rates. A meshfree scheme was developed for problems that converges exponentially using the latest computational science toolkit.
Using the Tower of Hanoi puzzle to infuse your mathematics classroom with computer science concepts
NASA Astrophysics Data System (ADS)
Marzocchi, Alison S.
2016-07-01
This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi puzzle. These concepts include, but are not limited to, conditionals, iteration, and recursion. Lessons, such as the one proposed in this article, are easily implementable in mathematics classrooms and extracurricular programmes as they are good candidates for 'drop in' lessons that do not need to fit into any particular place in the typical curriculum sequence. As an example for readers, the author describes how she used the puzzle in her own Number Sense and Logic course during the federally funded Upward Bound Math/Science summer programme for college-intending low-income high school students. The article explains each computer science term with real-life and mathematical examples, applies each term to the Tower of Hanoi puzzle solution, and describes how students connected the terms to their own solutions of the puzzle. It is timely and important to expose mathematics students to computer science concepts. Given the rate at which technology is currently advancing, and our increased dependence on technology in our daily lives, it has become more important than ever for children to be exposed to computer science. Yet, despite the importance of exposing today's children to computer science, many children are not given adequate opportunity to learn computer science in schools. In the United States, for example, most students finish high school without ever taking a computing course. Mathematics lessons, such as the one described in this article, can help to make computer science more accessible to students who may have otherwise had little opportunity to be introduced to these increasingly important concepts.
Physics, Computer Science and Mathematics Division annual report, 1 January-31 December 1983
Jackson, J.D.
1984-08-01
This report summarizes the research performed in the Physics, Computer Science and Mathematics Division of the Lawrence Berkeley Laboratory during calendar year 1983. The major activity of the Division is research in high-energy physics, both experimental and theoretical, and research and development in associated technologies. A smaller, but still significant, program is in computer science and applied mathematics. During 1983 there were approximately 160 people in the Division active in or supporting high-energy physics research, including about 40 graduate students. In computer science and mathematics, the total staff, including students and faculty, was roughly 50. Because of the creation in late 1983 of a Computing Division at LBL and the transfer of the Computer Science activities to the new Division, this annual report is the last from the Physics, Computer Science and Mathematics Division. In December 1983 the Division reverted to its historic name, the Physics Division. Its future annual reports will document high energy physics activities and also those of its Mathematics Department.
Why Mathematical Computer Simulations Are the New Laboratory for Scientists.
Buscema, Massimo
2015-01-01
In this paper, we introduce a new powerful scientific paradigm to understand natural and cultural processes. This new paradigm is based on two fundamental keywords: Data, as representative sample of the process we need to analyze, and Artificial Adaptive Systems, as a new mathematical technique able to make explicit the nonlinearity embedded in the process. We will try to make explicit these concepts analyzing how the distribution of events into the physical space may reveal the hidden logic connecting these events together.
Computer-Assisted Test Taking Tips and Strategies for the GED Mathematics Test.
ERIC Educational Resources Information Center
Straw, Carolyn L.
A computer program was developed to increase GED test candidate's level of test taking skills, knowledge of algebra and geometry, and self-confidence for the GED Mathematics Test. The computer program was developed and written, then implementation was administered by three teachers in a GED study center. Two math scores were used to determine the…
Effects of Computer-Based Programs on Mathematical Achievement Scores for Fourth-Grade Students
ERIC Educational Resources Information Center
Ravenel, Jessica; Lambeth, Dawn T.; Spires, Bob
2014-01-01
The purpose of the research study was to identify the effects of computer-based programs on mathematical achievement, perceptions, and engagement of fourth-grade students. The 31 student participants were divided into two intervention groups, as a hands-on group and a computer-based group. Student achievement was measured by comparing the pretest…
Software Design of Computer Games and Collaborative Processes of Mathematical Knowledge Production.
ERIC Educational Resources Information Center
Stone, Lynda D.; Stone, James M.
This study explored the collaborative production of mathematical knowledge during computer-mediated learning activities. In particular, it focused on opportunities for undergraduate students from a local university to collaborate with elementary-aged at-risk children on commercially available computer games in an urban after-school club. Two types…
Projects Using a Computer Algebra System in First-Year Undergraduate Mathematics
ERIC Educational Resources Information Center
Rosenzweig, Martin
2007-01-01
This paper illustrates the use of computer-based projects in two one-semester first-year undergraduate mathematics classes. Developed over a period of years, the approach is one in which the classes are organised into work-groups, with computer-based projects being undertaken periodically to illustrate the class material. These projects are…
ERIC Educational Resources Information Center
Kao, Linda Lee
2009-01-01
Despite support for technology in schools, there is little evidence indicating whether using computers in public elementary mathematics classrooms is associated with improved outcomes for students. This exploratory study examined data from the Early Childhood Longitudinal Study, investigating whether students' frequency of computer use was related…
Computational Fluency Performance Profile of High School Students with Mathematics Disabilities
ERIC Educational Resources Information Center
Calhoon, Mary Beth; Emerson, Robert Wall; Flores, Margaret; Houchins, David E.
2007-01-01
The purpose of this descriptive study was to develop a computational fluency performance profile of 224 high school (Grades 9-12) students with mathematics disabilities (MD). Computational fluency performance was examined by grade-level expectancy (Grades 2-6) and skill area (whole numbers: addition, subtraction, multiplication, division;…
ERIC Educational Resources Information Center
Chen, Chiu-Jung; Liu, Pei-Lin
2007-01-01
This study evaluated the effects of a personalized computer-assisted mathematics problem-solving program on the performance and attitude of Taiwanese fourth grade students. The purpose of this study was to determine whether the personalized computer-assisted program improved student performance and attitude over the nonpersonalized program.…
Computer-Aided Instruction in Mathematics Remediation at a Community College
ERIC Educational Resources Information Center
Brocato, Mary Anne
2009-01-01
Over the past ten years, traditional lecture style delivery has given way to computer-aided instruction (CAI) in post-secondary education. Developmental mathematics courses have been one of the most widely used applications. At a small community college in the Mississippi Delta, a computer assisted version of Intermediate Algebra was implemented.…
A Computer Based Education (CBE) Program for Middle School Mathematics Intervention
ERIC Educational Resources Information Center
Gulley, Bill
2009-01-01
A Computer Based Education (CBE) program for intervention mathematics was developed, used, and modified over a period of three years in a computer lab at an Arizona Title I middle school. The program is described along with a rationale for the need, design, and use of such a program. Data was collected in the third year and results of the program…
A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy (II)
ERIC Educational Resources Information Center
Bradford, Russell; Davenport, James H.; Sangwin, Chris
2010-01-01
A perennial problem in computer-aided assessment is that "a right answer", pedagogically speaking, is not the same thing as "a mathematically correct expression", as verified by a computer algebra system, or indeed other techniques such as random evaluation. Paper I in this series considered the difference in cases where there was "the right…
ERIC Educational Resources Information Center
Lin, Chi-Hui
2002-01-01
Describes a study that determined the implications of computer graphics types and epistemological beliefs with regard to the design of computer-based mathematical concept learning with elementary school students in Taiwan. Discusses the factor structure of the epistemological belief questionnaire, student performance, and students' attitudes…
A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy (II)
ERIC Educational Resources Information Center
Bradford, Russell; Davenport, James H.; Sangwin, Chris
2010-01-01
A perennial problem in computer-aided assessment is that "a right answer", pedagogically speaking, is not the same thing as "a mathematically correct expression", as verified by a computer algebra system, or indeed other techniques such as random evaluation. Paper I in this series considered the difference in cases where there was "the right…
Physics, Computer Science and Mathematics Division. Annual report, January 1-December 31, 1980
Birge, R.W.
1981-12-01
Research in the physics, computer science, and mathematics division is described for the year 1980. While the division's major effort remains in high energy particle physics, there is a continually growing program in computer science and applied mathematics. Experimental programs are reported in e/sup +/e/sup -/ annihilation, muon and neutrino reactions at FNAL, search for effects of a right-handed gauge boson, limits on neutrino oscillations from muon-decay neutrinos, strong interaction experiments at FNAL, strong interaction experiments at BNL, particle data center, Barrelet moment analysis of ..pi..N scattering data, astrophysics and astronomy, earth sciences, and instrument development and engineering for high energy physics. In theoretical physics research, studies included particle physics and accelerator physics. Computer science and mathematics research included analytical and numerical methods, information analysis techniques, advanced computer concepts, and environmental and epidemiological studies. (GHT)
Fuchs, Lynn S; Fuchs, Douglas; Hamlett, Carol L; Lambert, Warren; Stuebing, Karla; Fletcher, Jack M
2008-02-01
The purpose of this study was to explore patterns of difficulty in 2 domains of mathematical cognition: computation and problem solving. Third graders (n = 924; 47.3% male) were representatively sampled from 89 classrooms; assessed on computation and problem solving; classified as having difficulty with computation, problem solving, both domains, or neither domain; and measured on 9 cognitive dimensions. Difficulty occurred across domains with the same prevalence as difficulty with a single domain; specific difficulty was distributed similarly across domains. Multivariate profile analysis on cognitive dimensions and chi-square tests on demographics showed that specific computational difficulty was associated with strength in language and weaknesses in attentive behavior and processing speed; problem-solving difficulty was associated with deficient language as well as race and poverty. Implications for understanding mathematics competence and for the identification and treatment of mathematics difficulties are discussed.
Going Around On Circles: Mathematics and Computer Art. Part 2.
ERIC Educational Resources Information Center
Gordon, Sheldon P.; Gordon, Florence S.
1984-01-01
Discusses properties of epicycloids. (The easiest way to picture them is to think of a piece of radioactive bubble gum attached to a wheel which is rolling around the outside of a larger wheel.) Includes a computer program (TRS-80 color computer) that will graph any epicycloid with integer values for the radii. (JN)
Fractal Explorations in Secondary Mathematics, Science, and Computer Science.
ERIC Educational Resources Information Center
Egnatoff, William J.
1991-01-01
Fractal geometry is introduced through examples of computational exploration of coastlines, self-similar curves, random walks, and population growth. These explorations, which include the construction of algorithms and the subsequent development and application of simple computer programs, lend themselves to self-directed study and advanced…
Studies in Mathematics, Volume 22. Studies in Computer Science.
ERIC Educational Resources Information Center
Pollack, Seymour V., Ed.
The nine articles in this collection were selected because they represent concerns central to computer science, emphasize topics of particular interest to mathematicians, and underscore the wide range of areas deeply and continually affected by computer science. The contents consist of: "Introduction" (S. V. Pollack), "The…
ERIC Educational Resources Information Center
Costa-Guerra, Boris
2012-01-01
The study sought to understand whether MAPs computer based assessment of math and language skills using MAPs reading scores can predict student scores on the NMSBA. A key question was whether or not the prediction can be improved by including student language skill scores. The study explored the effectiveness of computer based preview assessments…
NASA Technical Reports Server (NTRS)
Arnold, S. M.; Tan, H. Q.; Dong, X.
1989-01-01
Development of new material models for describing the high temperature constitutive behavior of real materials represents an important area of research in engineering disciplines. Derivation of mathematical expressions (constitutive equations) which describe this high temperature material behavior can be quite time consuming, involved and error prone; thus intelligent application of symbolic systems to facilitate this tedious process can be of significant benefit. A computerized procedure (SDICE) capable of efficiently deriving potential based constitutive models, in analytical form is presented. This package, running under MACSYMA, has the following features: partial differentiation, tensor computations, automatic grouping and labeling of common factors, expression substitution and simplification, back substitution of invariant and tensorial relations and a relational data base. Also limited aspects of invariant theory were incorporated into SDICE due to the utilization of potentials as a starting point and the desire for these potentials to be frame invariant (objective). Finally not only calculation of flow and/or evolutionary laws were accomplished but also the determination of history independent nonphysical coefficients in terms of physically measurable parameters, e.g., Young's modulus, was achieved. The uniqueness of SDICE resides in its ability to manipulate expressions in a general yet predefined order and simplify expressions so as to limit expression growth. Results are displayed when applicable utilizing index notation.
NASA Astrophysics Data System (ADS)
Neves, Rui Gomes; Teodoro, Vítor Duarte
2012-09-01
A teaching approach aiming at an epistemologically balanced integration of computational modelling in science and mathematics education is presented. The approach is based on interactive engagement learning activities built around computational modelling experiments that span the range of different kinds of modelling from explorative to expressive modelling. The activities are designed to make a progressive introduction to scientific computation without requiring prior development of a working knowledge of programming, generate and foster the resolution of cognitive conflicts in the understanding of scientific and mathematical concepts and promote performative competency in the manipulation of different and complementary representations of mathematical models. The activities are supported by interactive PDF documents which explain the fundamental concepts, methods and reasoning processes using text, images and embedded movies, and include free space for multimedia enriched student modelling reports and teacher feedback. To illustrate, an example from physics implemented in the Modellus environment and tested in undergraduate university general physics and biophysics courses is discussed.
Research in mathematics and computer science, March 1, 1991--September 30, 1992
Pieper, G.W.
1992-10-01
This report discusses the following topics in mathematics and computer science at Argonne National Laboratory: Harnessing the Power; Modeling Piezoelectric Crystals; A Two-Way Street; The Challenge Is On; A True Molecular Engineering Capability; CHAMMPions Attack Climate Issues; Studying Vortex Dynamics; Studying Vortex Structure; Providing Reliable and Fast Derivatives; Automating Reasoning for Scientific Problem Solving; Optimization and Mathematical Programming; Scalable Algorithms for Linear Algebra; Reliable Core Software; Computing Phylogenetic Trees; Managing Life-Critical Systems; Interacting with Data through Visualization; New Tools for New Technologies.
Research in mathematics and computer science, March 1, 1991--September 30, 1992
Pieper, G.W.
1992-10-01
This report discusses the following topics in mathematics and computer science at Argonne National Laboratory: Harnessing the Power; Modeling Piezoelectric Crystals; A Two-Way Street; The Challenge Is On; A True Molecular Engineering Capability; CHAMMPions Attack Climate Issues; Studying Vortex Dynamics; Studying Vortex Structure; Providing Reliable and Fast Derivatives; Automating Reasoning for Scientific Problem Solving; Optimization and Mathematical Programming; Scalable Algorithms for Linear Algebra; Reliable Core Software; Computing Phylogenetic Trees; Managing Life-Critical Systems; Interacting with Data through Visualization; New Tools for New Technologies.
Motivating Computer Engineering Freshmen through Mathematical and Logical Puzzles
ERIC Educational Resources Information Center
Parhami, B.
2009-01-01
As in many other fields of science and technology, college students in computer engineering do not come into full contact with the key ideas and challenges of their chosen discipline until the third year of their studies. This situation poses a problem in terms of keeping the students motivated as they labor through their foundational, basic…
Introducing Computer Algebra to School Teachers of Mathematics
ERIC Educational Resources Information Center
Man, Yiu-Kwong
2007-01-01
Since the last decade, the use of computer algebra systems at the Hong Kong school level is still very limited. Among various reasons behind, the lack of exposure of this kind of software to local school teachers should be taken into account. In this article, we describe how to introduce MAPLE in a BEd module of a local teacher-training programme.…
Computational Psychiatry: towards a mathematically informed understanding of mental illness
Huys, Quentin J M; Roiser, Jonathan P
2016-01-01
Computational Psychiatry aims to describe the relationship between the brain's neurobiology, its environment and mental symptoms in computational terms. In so doing, it may improve psychiatric classification and the diagnosis and treatment of mental illness. It can unite many levels of description in a mechanistic and rigorous fashion, while avoiding biological reductionism and artificial categorisation. We describe how computational models of cognition can infer the current state of the environment and weigh up future actions, and how these models provide new perspectives on two example disorders, depression and schizophrenia. Reinforcement learning describes how the brain can choose and value courses of actions according to their long-term future value. Some depressive symptoms may result from aberrant valuations, which could arise from prior beliefs about the loss of agency (‘helplessness’), or from an inability to inhibit the mental exploration of aversive events. Predictive coding explains how the brain might perform Bayesian inference about the state of its environment by combining sensory data with prior beliefs, each weighted according to their certainty (or precision). Several cortical abnormalities in schizophrenia might reduce precision at higher levels of the inferential hierarchy, biasing inference towards sensory data and away from prior beliefs. We discuss whether striatal hyperdopaminergia might have an adaptive function in this context, and also how reinforcement learning and incentive salience models may shed light on the disorder. Finally, we review some of Computational Psychiatry's applications to neurological disorders, such as Parkinson's disease, and some pitfalls to avoid when applying its methods. PMID:26157034
Mathematics in the Needle Trades. Computing Piecework. Module 2.
ERIC Educational Resources Information Center
South Carolina State Dept. of Education, Columbia. Office of Vocational Education.
This module on computing piecework, one in a series on the needle trades, contains the following components: an introduction, directions, an objective, learning activities, student information, student self-check, check-out activities, and an instructor's final checklist. The module presents information on the piecework pay plan, such as…
Motivating Computer Engineering Freshmen through Mathematical and Logical Puzzles
ERIC Educational Resources Information Center
Parhami, B.
2009-01-01
As in many other fields of science and technology, college students in computer engineering do not come into full contact with the key ideas and challenges of their chosen discipline until the third year of their studies. This situation poses a problem in terms of keeping the students motivated as they labor through their foundational, basic…
Computer Facilitated Mathematical Methods in Chemical Engineering--Similarity Solution
ERIC Educational Resources Information Center
Subramanian, Venkat R.
2006-01-01
High-performance computers coupled with highly efficient numerical schemes and user-friendly software packages have helped instructors to teach numerical solutions and analysis of various nonlinear models more efficiently in the classroom. One of the main objectives of a model is to provide insight about the system of interest. Analytical…
Computer-Integrated Instruction Inservice Notebook: Secondary School Mathematics.
ERIC Educational Resources Information Center
Franklin, Sharon, Ed.; Strudler, Neal, Ed.
The purpose of this notebook is to assist educators who are designing and implementing inservice education programs to facilitate the effective use of computer integrated instruction (CII) in schools. The book is divided into the following five sections: (1) Effective Inservice (a brief summary of inservice literature focused on inservice…
ERIC Educational Resources Information Center
Cornu, Bernard, Ed.; Ralston, Anthony, Ed.
In 1985 the International Commission on Mathematical Instruction (ICMI) published the first edition of a book of studies on the topic of the influence of computers on mathematics and the teaching of mathematics. This document is an updated version of that book and includes five articles from the 1985 ICMI conference at Strasbourg, France; reports…
ERIC Educational Resources Information Center
Austin, Gilbert R.
The purpose of this study was to evaluate the effects of using different mathematics textbooks on the mathematical computational ability of students as a method of assessing the effectiveness of different mathematics instruction. This study resulted from a 1963 report which discussed the results of the New Hampshire Statewide Eighth Grade Testing…
ERIC Educational Resources Information Center
Seo, You-Jin; Bryant, Diane Pedrotty
2009-01-01
The purpose of this study was to conduct a meta-study of computer-assisted instruction (CAI) studies in mathematics for students with learning disabilities (LD) focusing on examining the effects of CAI on the mathematics performance of students with LD. This study examined a total of 11 mathematics CAI studies, which met the study selection…
Symbolic Computation in a Constructive Approach to Methods of Mathematical Physics
NASA Astrophysics Data System (ADS)
Lopez, Robert
2001-10-01
Mastery of the discipline of physics requires not only expertise and intuition in science, but also a measure of competence in mathematical understanding and technique. In fact, courses in methods of mathematical physics are important stepping-stones to progress in physics education. In this talk, we shall illustrate the role that a computer algebra system can play in a more efficient and effective mastery of mathematical techniques needed in the physics curriculum. To do this, we will present a series of examples taken from the undergraduate math curriculum at RHIT where the author has just published Advanced Engineering Mathematics, a new applied math book based on the availability of a computer algebra system. We will discuss the solution of boundary value problems, including the wave equation on the finite string, the heat equation in a finite rod and cylinder, and the potential equation in rectangles, disks, and spheres. We will also discuss coupled oscillators and normal modes. Finally, we will discuss the calculus of variations and Hamilton's principle, setting up and solving the single and double plane pendulum problems, and the spherical pendulum problem. Throughout, we will show how the use of modern computer tools makes so much more mathematics available to the student, and makes it so much easier to obtain physical insights.
Mathematically Equivalent, Computationally Non-equivalent Formulas and Software Comprehensibility
2016-06-07
grasp its meaning more quickly, so that pro- gram changes can be applied with more confidence. Although structured coding promotes program readability...depends on the smallest positive computer k number s. A good approximation to this value of m is obtained by set- ting the approximation (17) for...underflowing for a positive value k 13 TM 851062 To find f we proceed in the same way that .we did to find m*, but we set the approximation (17
Mathematical Analysis and Computer Program Development for Electromagnetic Science Studies.
1981-11-01
AD-AlIO 745 ARCON CORP WALTHAM MA F/ 9/2MATMI4MATICAL ANALYSIS AND COWNYTLrR PROGRAM O(VLOPMENT FOR ELEC--ETC(U)NOV 81 E TZCHOVOLSKY, E COHEN. R...NTIS DTIC TAR ~ cc vI itGI .-- ,i--- Introduction During the execution of contract 19628-78-C0202, ARCON staff worked with and provided computer
Mathematical model partitioning and packing for parallel computer calculation
NASA Technical Reports Server (NTRS)
Arpasi, Dale J.; Milner, Edward J.
1986-01-01
This paper deals with the development of multiprocessor simulations from a serial set of ordinary differential equations describing a physical system. The identification of computational parallelism within the model equations is discussed. A technique is presented for identifying this parallelism and for partitioning the equations for parallel solution on a multiprocessor. Next, an algorithm which packs the equations into a minimum number of processors is described. The results of applying the packing algorithm to a turboshaft engine model are presented.
Mathematical model partitioning and packing for parallel computer calculation
NASA Technical Reports Server (NTRS)
Arpasi, Dale J.; Milner, Edward J.
1986-01-01
This paper deals with the development of multiprocessor simulations from a serial set of ordinary differential equations describing a physical system. The identification of computational parallelism within the model equations is discussed. A technique is presented for identifying this parallelism and for partitioning the equations for parallel solution on a multiprocessor. Next, an algorithm which packs the equations into a minimum number of processors is described. The results of applying the packing algorithm to a turboshaft engine model are presented.
Mathematical modeling and computation of the optical response from nanostructures
NASA Astrophysics Data System (ADS)
Sun, Yuanchang
This dissertation studies the computational modeling for nanostructures in response to external electromagnetic fields. Light-matter interactions on nanoscale are at the heart of nano-optics. To fully characterize the optical interactions with nanostructures quantum electrodynamics (QED) must be invoked, however, the required extremely intense computation and analysis prohibit QED from applications in nano-optics. To avoid the expensive computations and be able to seize the essential quantum effects a semiclassical model is developed. The wellposedness of the model partial differential equations is established. Emphasis is placed on the optical interactions with an individual nanostructure, excitons and biexcitons effects and finite-size effects are investigated. The crucial step of our model is to couple the electromagnetic fields with the motion of the excited particles to yield a new dielectric constant which contains quantum effects of interest. A novel feature of the dielectric constant is the wavevector-dependence which leads to a multi-wave propagation inside the medium. Additional boundary conditions are proposed to deal with this situation. We proceed with incorporating this dielectric constant to Maxwell's equations, and by solving a scattering problem the quantum effects can be captured in the scattered spectra.
NASA Technical Reports Server (NTRS)
1989-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, and computer science during the period October 1, 1988 through March 31, 1989 is summarized.
NASA Technical Reports Server (NTRS)
1984-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis and computer science during the period October 1, 1983 through March 31, 1984 is summarized.
NASA Technical Reports Server (NTRS)
1992-01-01
Research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, fluid mechanics including fluid dynamics, acoustics, and combustion, aerodynamics, and computer science during the period 1 Apr. 1992 - 30 Sep. 1992 is summarized.
Teachers' Use of Computational Tools to Construct and Explore Dynamic Mathematical Models
ERIC Educational Resources Information Center
Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron
2011-01-01
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems emerge during the model construction process that involves the use of the tools? These research questions guided the…
A Comparative Study of Partial Credit Assessment and Computer-Based Testing for Mathematics
ERIC Educational Resources Information Center
Darrah, Marjorie; Fuller, Edgar; Miller, David
2010-01-01
This paper discusses a possible solution to a problem frequently encountered by educators seeking to use computer-based or multiple choice-based exams for mathematics. These assessment methodologies force a discrete grading system on students and do not allow for the possibility of partial credit. The research presented in this paper investigates…
ERIC Educational Resources Information Center
Wanjala, Martin M. S.; Aurah, Catherine M.; Symon, Koros C.
2015-01-01
The paper reports findings of a study which sought to examine the pedagogical factors that affect the integration of computers in mathematics instruction as perceived by teachers in secondary schools in Kenya. This study was based on the Technology Acceptance Model (TAM). A descriptive survey design was used for this study. Stratified and simple…
A Meta-Analysis of the Effects of Computer Technology on School Students' Mathematics Learning
ERIC Educational Resources Information Center
Li, Qing; Ma, Xin
2010-01-01
This study examines the impact of computer technology (CT) on mathematics education in K-12 classrooms through a systematic review of existing literature. A meta-analysis of 85 independent effect sizes extracted from 46 primary studies involving a total of 36,793 learners indicated statistically significant positive effects of CT on mathematics…
Effective Computer-Aided Assessment of Mathematics; Principles, Practice and Results
ERIC Educational Resources Information Center
Greenhow, Martin
2015-01-01
This article outlines some key issues for writing effective computer-aided assessment (CAA) questions in subjects with substantial mathematical or statistical content, especially the importance of control of random parameters and the encoding of wrong methods of solution (mal-rules) commonly used by students. The pros and cons of using CAA and…
ERIC Educational Resources Information Center
Bruce-Simmons, Christine
2013-01-01
This study examined the impact of computer-assisted instruction on the mathematics performance of underachieving fifth-grade students in a rural school district in South Carolina. The instructional technology program ([IF) is South Carolina's response to addressing the needs of its young, struggling math students. The 449 fifth-grade students in…
ERIC Educational Resources Information Center
Bruce-Simmons, Christine
2013-01-01
This study examined the impact of computer-assisted instruction on the mathematics performance of underachieving fifth-grade students in a rural school district in South Carolina. The instructional technology program ([IF) is South Carolina's response to addressing the needs of its young, struggling math students. The 449 fifth-grade students in…
ERIC Educational Resources Information Center
Gadalla, Tahany M.
The equivalence of multiple-choice (MC) and constructed response (discrete) (CR-D) response formats as applied to mathematics computation at grade levels two to six was tested. The difference between total scores from the two response formats was tested for statistical significance, and the factor structure of items in both response formats was…
ERIC Educational Resources Information Center
Educational Technology Center, Cambridge, MA.
Developed to guide the research of the Educational Technology Center, a consortium based at Harvard Graduate School of Education, this report addresses the use of new information technologies to enrich, extend, and transform current instructional practice in science, mathematics, and computer education. A discussion of the basic elements required…
ERIC Educational Resources Information Center
Shotsberger, Paul G.
This report describes the need for a state-level inservice education program for secondary mathematics public school teachers in North Carolina, in order to enable them to effectively implement computer use in classrooms. A decision model for policy analysis was used to determine optimal strategy for the program. Following a review of the…
ERIC Educational Resources Information Center
Rich, Peter J.; Bly, Neil; Leatham, Keith R.
2014-01-01
This study aimed to provide first-hand accounts of the perceived long-term effects of learning computer programming on a learner's approach to mathematics. These phenomenological accounts, garnered from individual interviews of seven different programmers, illustrate four specific areas of interest: (1) programming provides context for many…
Science-Technology Coupling: The Case of Mathematical Logic and Computer Science.
ERIC Educational Resources Information Center
Wagner-Dobler, Roland
1997-01-01
In the history of science, there have often been periods of sudden rapprochements between pure science and technology-oriented branches of science. Mathematical logic as pure science and computer science as technology-oriented science have experienced such a rapprochement, which is studied in this article in a bibliometric manner. (Author)
Improving Mathematical Skills Assessed on the High School Proficiency Test: Computation of Percents.
ERIC Educational Resources Information Center
Hills, Catherine A.
This monograph aims to provide teachers of grades 7, 8, and 9 with a variety of instructional activities and strategies that identify student difficulties in computing percents and teaching the skills needed for that cluster on the mathematics part of the New Jersey High School Proficiency Test (HSPT). Sections include: (1) "Concepts"…
ERIC Educational Resources Information Center
Jackson, Karen Latrice Terrell
2014-01-01
Students' perceptions influence their expectations and values. According to Expectations and Values Theory of Achievement Motivation (EVT-AM), students' expectations and values impact their behaviors (Eccles & Wigfield, 2002). This study seeks to find students' perceptions of developmental mathematics in a mastery learning computer-based…
ERIC Educational Resources Information Center
Senechal, Lester
This document promotes a better awareness of available technological tools, their implementation, and their advantages and applications in teaching and learning mathematics. Principles for successful implementation are: (1) computation should be an integral part of instruction; (2) software and curriculum development should go hand-in-hand; (3)…
A Meta-Analysis of the Effects of Computer Technology on School Students' Mathematics Learning
ERIC Educational Resources Information Center
Li, Qing; Ma, Xin
2010-01-01
This study examines the impact of computer technology (CT) on mathematics education in K-12 classrooms through a systematic review of existing literature. A meta-analysis of 85 independent effect sizes extracted from 46 primary studies involving a total of 36,793 learners indicated statistically significant positive effects of CT on mathematics…
A Relational Frame and Artificial Neural Network Approach to Computer-Interactive Mathematics
ERIC Educational Resources Information Center
Ninness, Chris; Rumph, Robin; McCuller, Glen; Vasquez III, Eleazar; Harrison, Carol; Ford, Angela M.; Capt, Ashley; Ninness, Sharon K.; Bradfield, Anna
2005-01-01
Fifteen participants unfamiliar with mathematical operations relative to reflections and vertical and horizontal shifts were exposed to an introductory lecture regarding the fundamentals of the rectangular coordinate system and the relationship between formulas and their graphed analogues. The lecture was followed immediately by computer-assisted…
ERIC Educational Resources Information Center
Rich, Peter J.; Bly, Neil; Leatham, Keith R.
2014-01-01
This study aimed to provide first-hand accounts of the perceived long-term effects of learning computer programming on a learner's approach to mathematics. These phenomenological accounts, garnered from individual interviews of seven different programmers, illustrate four specific areas of interest: (1) programming provides context for many…
ERIC Educational Resources Information Center
Heck, Andre; Kedzierska, Ewa; Ellermeijer, Ton
2009-01-01
In this paper we report on the sustained research and development work at the AMSTEL Institute of the University of Amsterdam to improve mathematics and science education at primary and secondary school level, which has lead amongst other things to the development of the integrated computer working environment Coach 6. This environment consists of…
ERIC Educational Resources Information Center
King, James M.; And Others
The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…
ERIC Educational Resources Information Center
Jackson, Karen Latrice Terrell
2014-01-01
Students' perceptions influence their expectations and values. According to Expectations and Values Theory of Achievement Motivation (EVT-AM), students' expectations and values impact their behaviors (Eccles & Wigfield, 2002). This study seeks to find students' perceptions of developmental mathematics in a mastery learning computer-based…
The Heidelberg Laureate Forum on the moving frontier between mathematics and computer science
Begoli, Edmon; Schlegel, Vincent; Atiyah, Michael; ...
2017-04-05
Here, young and early-career researchers at the 2016 Heidelberg Laureate Forum discuss how the frontier between mathematics and computer science is shifting, what the future promises, and the implications the frontier's shape and dynamics will have on both fields.
Incorporating Partial Credit in Computer-Aided Assessment of Mathematics in Secondary Education
ERIC Educational Resources Information Center
Ashton, Helen S.; Beevers, Cliff E.; Korabinski, Athol A.; Youngson, Martin A.
2006-01-01
In a mathematical examination on paper, partial credit is normally awarded for an answer that is not correct, but, nevertheless, contains some of the correct working. Assessment on computer normally marks an incorrect answer wrong and awards no marks. This can lead to discrepancies between marks awarded for the same examination given in the two…
ERIC Educational Resources Information Center
Sahin, Alpaslan; Adiguzel, Tufan
2014-01-01
The purpose of this study is to investigate how international teachers, who were from overseas but taught in the United States, rate effective teacher qualities in three domains; personal, professional, and classroom management skills. The study includes 130 international mathematics, science, and computer teachers who taught in a multi-school…
Improving Mathematical Skills Assessed on the High School Proficiency Test: Computation of Percents.
ERIC Educational Resources Information Center
Hills, Catherine A.
This monograph aims to provide teachers of grades 7, 8, and 9 with a variety of instructional activities and strategies that identify student difficulties in computing percents and teaching the skills needed for that cluster on the mathematics part of the New Jersey High School Proficiency Test (HSPT). Sections include: (1) "Concepts"…
A Relational Frame and Artificial Neural Network Approach to Computer-Interactive Mathematics
ERIC Educational Resources Information Center
Ninness, Chris; Rumph, Robin; McCuller, Glen; Vasquez III, Eleazar; Harrison, Carol; Ford, Angela M.; Capt, Ashley; Ninness, Sharon K.; Bradfield, Anna
2005-01-01
Fifteen participants unfamiliar with mathematical operations relative to reflections and vertical and horizontal shifts were exposed to an introductory lecture regarding the fundamentals of the rectangular coordinate system and the relationship between formulas and their graphed analogues. The lecture was followed immediately by computer-assisted…
ERIC Educational Resources Information Center
Hastings, Harold M.; And Others
This booklet is the ninth in a series of nine from the Teacher Training Institute at Hofstra University (New York) and describes the content and the approach of an institute course in which the participants use the personal computer as a personal tool within the mathematical discovery process of making conjectures, testing those conjectures, and…
ERIC Educational Resources Information Center
Psycharis, Sarantos
2016-01-01
Computational experiment approach considers models as the fundamental instructional units of Inquiry Based Science and Mathematics Education (IBSE) and STEM Education, where the model take the place of the "classical" experimental set-up and simulation replaces the experiment. Argumentation in IBSE and STEM education is related to the…
ERIC Educational Resources Information Center
Wei, Fang-Yi Flora; Hendrix, Katherine Grace
2009-01-01
This study investigated whether competitive and noncompetitive educational mathematics computer games influence four- to seven-year-old boys' and girls' recall of game-playing experience. A qualitative analysis was performed to investigate what preschool children may have learned through their selective recall of game-playing experience. A…
ERIC Educational Resources Information Center
Patterson, Margaret Becker; Higgins, Jennifer; Bozman, Martha; Katz, Michael
2011-01-01
We conducted a pilot study to see how the GED Mathematics Test could be administered on computer with embedded accessibility tools. We examined test scores and test-taker experience. Nineteen GED test centers across five states and 216 randomly assigned GED Tests candidates participated in the project. GED candidates completed two GED mathematics…
ERIC Educational Resources Information Center
Shotsberger, Paul G.
This report describes the need for a state-level inservice education program for secondary mathematics public school teachers in North Carolina, in order to enable them to effectively implement computer use in classrooms. A decision model for policy analysis was used to determine optimal strategy for the program. Following a review of the…
ERIC Educational Resources Information Center
Psycharis, Sarantos
2016-01-01
Computational experiment approach considers models as the fundamental instructional units of Inquiry Based Science and Mathematics Education (IBSE) and STEM Education, where the model take the place of the "classical" experimental set-up and simulation replaces the experiment. Argumentation in IBSE and STEM education is related to the…
Introducing a Computer Algebra System in Mathematics Education--Empirical Evidence from Germany
ERIC Educational Resources Information Center
Schmidt, Karsten; Kohler, Anke; Moldenhauer, Wolfgang
2009-01-01
This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…
Effective Computer-Aided Assessment of Mathematics; Principles, Practice and Results
ERIC Educational Resources Information Center
Greenhow, Martin
2015-01-01
This article outlines some key issues for writing effective computer-aided assessment (CAA) questions in subjects with substantial mathematical or statistical content, especially the importance of control of random parameters and the encoding of wrong methods of solution (mal-rules) commonly used by students. The pros and cons of using CAA and…
ERIC Educational Resources Information Center
Sahin, Alpaslan; Adiguzel, Tufan
2014-01-01
The purpose of this study is to investigate how international teachers, who were from overseas but taught in the United States, rate effective teacher qualities in three domains; personal, professional, and classroom management skills. The study includes 130 international mathematics, science, and computer teachers who taught in a multi-school…
ERIC Educational Resources Information Center
Shin, Mikyung; Bryant, Diane P.
2017-01-01
Students with mathematics learning disabilities (MLD) have a weak understanding of fraction concepts and skills, which are foundations of algebra. Such students might benefit from computer-assisted instruction that utilizes evidence-based instructional components (cognitive strategies, feedback, virtual manipulatives). As a pilot study using a…
Science-Technology Coupling: The Case of Mathematical Logic and Computer Science.
ERIC Educational Resources Information Center
Wagner-Dobler, Roland
1997-01-01
In the history of science, there have often been periods of sudden rapprochements between pure science and technology-oriented branches of science. Mathematical logic as pure science and computer science as technology-oriented science have experienced such a rapprochement, which is studied in this article in a bibliometric manner. (Author)
ERIC Educational Resources Information Center
Wei, Fang-Yi Flora; Hendrix, Katherine Grace
2009-01-01
This study investigated whether competitive and noncompetitive educational mathematics computer games influence four- to seven-year-old boys' and girls' recall of game-playing experience. A qualitative analysis was performed to investigate what preschool children may have learned through their selective recall of game-playing experience. A…
ERIC Educational Resources Information Center
Heck, Andre; Kedzierska, Ewa; Ellermeijer, Ton
2009-01-01
In this paper we report on the sustained research and development work at the AMSTEL Institute of the University of Amsterdam to improve mathematics and science education at primary and secondary school level, which has lead amongst other things to the development of the integrated computer working environment Coach 6. This environment consists of…
Teachers' Use of Computational Tools to Construct and Explore Dynamic Mathematical Models
ERIC Educational Resources Information Center
Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron
2011-01-01
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems emerge during the model construction process that involves the use of the tools? These research questions guided the…
Computer-Assisted Teaching and Mathematical Learning in Down Syndrome Children
ERIC Educational Resources Information Center
Ortega-Tudela, J. M.; Gomez-Ariza, C. J.
2006-01-01
The present study aims to explore the extent to which computer-assisted teaching facilitates the learning of basic mathematical concepts and skills in children with Down Syndrome (DS). Thus, the effectiveness of a multimedia teaching method is compared with a traditional one in the teaching of counting and cardinality abilities and concepts. In…
Group theory and biomolecular conformation: I. Mathematical and computational models
Chirikjian, Gregory S
2010-01-01
Biological macromolecules, and the complexes that they form, can be described in a variety of ways ranging from quantum mechanical and atomic chemical models, to coarser grained models of secondary structure and domains, to continuum models. At each of these levels, group theory can be used to describe both geometric symmetries and conformational motion. In this survey, a detailed account is provided of how group theory has been applied across computational structural biology to analyze the conformational shape and motion of macromolecules and complexes. PMID:20827378
ERIC Educational Resources Information Center
Mautone, Jennifer A.; DuPaul, George J.; Jitendra, Asha K.
2005-01-01
The present study examines the effects of computer-assisted instruction (CAI) on the mathematics performance and classroom behavior of three second-through fourth-grade students with ADHD. A controlled case study is used to evaluate the effects of the computer software on participants' mathematics performance and on-task behavior. Participants'…
ERIC Educational Resources Information Center
Mautone, Jennifer A.; DuPaul, George J.; Jitendra, Asha K.
2005-01-01
The present study examines the effects of computer-assisted instruction (CAI) on the mathematics performance and classroom behavior of three second-through fourth-grade students with ADHD. A controlled case study is used to evaluate the effects of the computer software on participants' mathematics performance and on-task behavior. Participants'…
Computer simulation and mathematical model of blood glucose behaviour.
Hebibovic, Mujo; Lacevic, Bakir; Velagic, Jasmin; Alagic, Sabahudin; Kulenovic, Indira
2004-01-01
This work is considering three significant factors that affect blood glucose level: food intake, hereditary predisposition and stress. Goal of this paper is to observe blood sugar level in human organism as a dynamic MISO (Multi Input, Single Output) system, and to describe it with differential equations and control system blocks. The system has three inputs; food (carbohydrates), hereditary factor and stress, and a single output--blood glucose level. Basically, several logical assumptions have been made, as the result of few medical researches. A model that gives outputs, very similar to real ones (measurements of glucose level in human body) is used for more detailed analysis. This model is very suitable for computer simulations and it can easily be tested for different input arrangements. Using this property of the system, several modes of food consumption have been proposed, in order to retain blood sugar level inside recommended limits.
Birgin, Osman; Catlioğlu, Hakan; Gürbüz, Ramazan; Aydin, Serhat
2010-10-01
This study aimed to investigate the experiences of pre-service mathematics (PSM) teachers with computers and their attitudes toward them. The Computer Attitude Scale, Computer Competency Survey, and Computer Use Information Form were administered to 180 Turkish PSM teachers. Results revealed that most PSM teachers used computers at home and at Internet cafes, and that their competency was generally intermediate and upper level. The study concludes that PSM teachers' attitudes about computers differ according to their years of study, computer ownership, level of computer competency, frequency of computer use, computer experience, and whether they had attended a computer-aided instruction course. However, computer attitudes were not affected by gender.
1997-12-31
The conference focused on computational and modeling issues in the geosciences. Of the geosciences, problems associated with phenomena occurring in the earth`s subsurface were best represented. Topics in this area included petroleum recovery, ground water contamination and remediation, seismic imaging, parameter estimation, upscaling, geostatistical heterogeneity, reservoir and aquifer characterization, optimal well placement and pumping strategies, and geochemistry. Additional sessions were devoted to the atmosphere, surface water and oceans. The central mathematical themes included computational algorithms and numerical analysis, parallel computing, mathematical analysis of partial differential equations, statistical and stochastic methods, optimization, inversion, homogenization and renormalization. The problem areas discussed at this conference are of considerable national importance, with the increasing importance of environmental issues, global change, remediation of waste sites, declining domestic energy sources and an increasing reliance on producing the most out of established oil reservoirs.
Computational oncology--mathematical modelling of drug regimens for precision medicine.
Barbolosi, Dominique; Ciccolini, Joseph; Lacarelle, Bruno; Barlési, Fabrice; André, Nicolas
2016-04-01
Computational oncology is a generic term that encompasses any form of computer-based modelling relating to tumour biology and cancer therapy. Mathematical modelling can be used to probe the pharmacokinetics and pharmacodynamics relationships of the available anticancer agents in order to improve treatment. As a result of the ever-growing numbers of druggable molecular targets and possible drug combinations, obtaining an optimal toxicity-efficacy balance is an increasingly complex task. Consequently, standard empirical approaches to optimizing drug dosing and scheduling in patients are now of limited utility; mathematical modelling can substantially advance this practice through improved rationalization of therapeutic strategies. The implementation of mathematical modelling tools is an emerging trend, but remains largely insufficient to meet clinical needs; at the bedside, anticancer drugs continue to be prescribed and administered according to standard schedules. To shift the therapeutic paradigm towards personalized care, precision medicine in oncology requires powerful new resources for both researchers and clinicians. Mathematical modelling is an attractive approach that could help to refine treatment modalities at all phases of research and development, and in routine patient care. Reviewing preclinical and clinical examples, we highlight the current achievements and limitations with regard to computational modelling of drug regimens, and discuss the potential future implementation of this strategy to achieve precision medicine in oncology.
Derivation and computation of discrete-delay and continuous-delay SDEs in mathematical biology.
Allen, Edward J
2014-06-01
Stochastic versions of several discrete-delay and continuous-delay differential equations, useful in mathematical biology, are derived from basic principles carefully taking into account the demographic, environmental, or physiological randomness in the dynamic processes. In particular, stochastic delay differential equation (SDDE) models are derived and studied for Nicholson's blowflies equation, Hutchinson's equation, an SIS epidemic model with delay, bacteria/phage dynamics, and glucose/insulin levels. Computational methods for approximating the SDDE models are described. Comparisons between computational solutions of the SDDEs and independently formulated Monte Carlo calculations support the accuracy of the derivations and of the computational methods.
ERIC Educational Resources Information Center
Mac Lane, Saunders
1980-01-01
This is a review of the current research in mathematics involving breadth of ideas. Research includes topics in number theory, classification of all finite simple groups, the representation of group aids in their application to the study of symmetry. (Author/SA)
ERIC Educational Resources Information Center
Costellano, Janet; Scaffa, Matthew
The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…
NASA Astrophysics Data System (ADS)
Mead, J.; Wright, G. B.
2013-12-01
The collection of massive amounts of high quality data from new and greatly improved observing technologies and from large-scale numerical simulations are drastically improving our understanding and modeling of the earth system. However, these datasets are also revealing important knowledge gaps and limitations of our current conceptual models for explaining key aspects of these new observations. These limitations are impeding progress on questions that have both fundamental scientific and societal significance, including climate and weather, natural disaster mitigation, earthquake and volcano dynamics, earth structure and geodynamics, resource exploration, and planetary evolution. New conceptual approaches and numerical methods for characterizing and simulating these systems are needed - methods that can handle processes which vary through a myriad of scales in heterogeneous, complex environments. Additionally, as certain aspects of these systems may be observable only indirectly or not at all, new statistical methods are also needed. This type of research will demand integrating the expertise of geoscientist together with that of mathematicians, statisticians, and computer scientists. If the past is any indicator, this interdisciplinary research will no doubt lead to advances in all these fields in addition to vital improvements in our ability to predict the behavior of the planetary environment. The Consortium for Mathematics in the Geosciences (CMG++) arose from two scientific workshops held at Northwestern and Princeton in 2011 and 2012 with participants from mathematics, statistics, geoscience and computational science. The mission of CMG++ is to accelerate the traditional interaction between people in these disciplines through the promotion of both collaborative research and interdisciplinary education. We will discuss current activities, describe how people can get involved, and solicit input from the broader AGU community.
ERIC Educational Resources Information Center
Ronan, Franklin Delano
Suspecting that computer-assisted mathematics instruction helps students attain a higher level of achievement than normal instruction, the author conducted an experiment in two algebra-trigonometry classes. Fifty-one "middle ability" students were divided into two groups. The computer group used the computer both as a computational and teaching…
ERIC Educational Resources Information Center
Pamuk, Savas; Peker, Deniz
2009-01-01
The purpose of this study was to investigate Turkish pre-service science and mathematics teachers' computer self-efficacies (CSEs) and computer attitude (CA) considering gender, year in program, and computer ownership as independent variables. Additionally the study aimed to examine the relationship between CSE and CA. Computer Self-efficacy Scale…
Competition for light in forest population dynamics: From computer simulator to mathematical model.
Magal, Pierre; Zhang, Zhengyang
2017-04-21
In this article we build a mathematical model for forest growth and we compare this model with a computer forest simulator named SORTIE. The main ingredient taken into account in both models is the competition for light between trees. The parameters of the mathematical model are estimated by using SORTIE model, when the parameter values of SORTIE model correspond to the ones previously evaluated for the Great Mountain Forest in USA. We see that the best fit of the parameters of the mathematical model is obtained when the competition for light influences only the growth rate of trees. We construct a size structured population dynamics model with one and two species and with spatial structure. Copyright © 2017 Elsevier Ltd. All rights reserved.
Modelling skin disease: lessons from the worlds of mathematics, physics and computer science.
Gilmore, Stephen
2005-05-01
Theoretical biology is a field that attempts to understand the complex phenomena of life in terms of mathematical and physical principles. Likewise, theoretical medicine employs mathematical arguments and models as a methodology in approaching the complexities of human disease. Naturally, these concepts can be applied to dermatology. There are many possible methods available in the theoretical investigation of skin disease. A number of examples are presented briefly. These include the mathematical modelling of pattern formation in congenital naevi and erythema gyratum repens, an information-theoretic approach to the analysis of genetic networks in autoimmunity, and computer simulations of early melanoma growth. To conclude, an analogy is drawn between the behaviour of well-known physical processes, such as earthquakes, and the spatio-temporal evolution of skin disease. Creating models in skin disease can lead to predictions that can be investigated experimentally or by observation and offer the prospect of unexpected or important insights into pathogenesis.
Mautone, Jennifer A; DuPaul, George J; Jitendra, Asha K
2005-08-01
The present study examines the effects of computer-assisted instruction (CAI) on the mathematics performance and classroom behavior of three second-through fourth-grade students with ADHD. A controlled case study is used to evaluate the effects of the computer software on participants' mathematics performance and on-task behavior. Participants' mathematics achievement improve and their on-task behavior increase during the CAI sessions relative to independent seatwork conditions. In addition, students and teachers consider CAI to be an acceptable intervention for some students with ADHD who are having difficulty with mathematics. Implications of these results for practice and research are discussed.
Research on Mega-Math: Discrete mathematics and computer science for children. Final report
Fellows, M.R.
1995-06-26
The objective of the subcontract was to provide further research on the approach to mathematics education embodied in the workbook ``This is Mega-Mathematics!`` essentially produced under the subcontract and its preceding informal (alas!) cooperative arrangements. The workbook is now widely and freely distributed on the Internet under the copyright of the Los Alamos National Labs. This research was to consist of: (1) the development and dissemination of materials, (2) experimentation with use of the materials in classroom visits and other events, (3) communication of the ideas embodied in the materials to various forums concerned with mathematics education reform, (4) the development of connections to the computer games industry, (5) the development of new workbook-type materials, (6) publications, (7) the development of connections to Science Museums, (8) the development of uses of the Internet to make MegaMath materials and ideas available through that medium, (9) the stimulation of and coordination with other projects in mathematics education reform. All of these objectives have been accomplished in what should be regarded as one of the most interesting and cost-effective projects ever undertaken in mathematics education, a testimony to the vision and creative imagination of the Los Alamos Labs.
NASA Astrophysics Data System (ADS)
Akkoç, Hatice
2015-11-01
This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and skills of questioning in CLEs. This study investigates how pre-service mathematics teachers used formative questioning with technological tools such as Geogebra and Graphic Calculus software. Participants are 35 pre-service mathematics teachers. To analyse formative questioning, two types of questions are investigated: mathematical questions and technical questions. Data were collected through lesson plans, teaching notes, interviews and observations. Descriptive statistics of the number of questions in the lesson plans before and after the workshops are presented. Examples of two types of questions are discussed using the theoretical framework. One pre-service teacher was selected and a deeper analysis of the way he used questioning during his three lessons was also investigated. The findings indicated an improvement in using technical questions for formative purposes and that the course provided a guideline in planning and using mathematical and technical questions in CLEs.
Concentrator optical characterization using computer mathematical modelling and point source testing
NASA Technical Reports Server (NTRS)
Dennison, E. W.; John, S. L.; Trentelman, G. F.
1984-01-01
The optical characteristics of a paraboloidal solar concentrator are analyzed using the intercept factor curve (a format for image data) to describe the results of a mathematical model and to represent reduced data from experimental testing. This procedure makes it possible not only to test an assembled concentrator, but also to evaluate single optical panels or to conduct non-solar tests of an assembled concentrator. The use of three-dimensional ray tracing computer programs to calculate the mathematical model is described. These ray tracing programs can include any type of optical configuration from simple paraboloids to array of spherical facets and can be adapted to microcomputers or larger computers, which can graphically display real-time comparison of calculated and measured data.
NASA Technical Reports Server (NTRS)
Palusinski, O. A.; Allgyer, T. T.
1979-01-01
The elimination of Ampholine from the system by establishing the pH gradient with simple ampholytes is proposed. A mathematical model was exercised at the level of the two-component system by using values for mobilities, diffusion coefficients, and dissociation constants representative of glutamic acid and histidine. The constants assumed in the calculations are reported. The predictions of the model and computer simulation of isoelectric focusing experiments are in direct importance to obtain Ampholine-free, stable pH gradients.
[Geometry, analysis, and computation in mathematics and applied science]. Progress report
Hoffman, D.
1994-02-01
The principal investigators` work on a variety of pure and applied problems in Differential Geometry, Calculus of Variations and Mathematical Physics has been done in a computational laboratory and been based on interactive scientific computer graphics and high speed computation created by the principal investigators to study geometric interface problems in the physical sciences. We have developed software to simulate various physical phenomena from constrained plasma flow to the electron microscope imaging of the microstructure of compound materials, techniques for the visualization of geometric structures that has been used to make significant breakthroughs in the global theory of minimal surfaces, and graphics tools to study evolution processes, such as flow by mean curvature, while simultaneously developing the mathematical foundation of the subject. An increasingly important activity of the laboratory is to extend this environment in order to support and enhance scientific collaboration with researchers at other locations. Toward this end, the Center developed the GANGVideo distributed video software system and software methods for running lab-developed programs simultaneously on remote and local machines. Further, the Center operates a broadcast video network, running in parallel with the Center`s data networks, over which researchers can access stored video materials or view ongoing computations. The graphical front-end to GANGVideo can be used to make ``multi-media mail`` from both ``live`` computing sessions and stored materials without video editing. Currently, videotape is used as the delivery medium, but GANGVideo is compatible with future ``all-digital`` distribution systems. Thus as a byproduct of mathematical research, we are developing methods for scientific communication. But, most important, our research focuses on important scientific problems; the parallel development of computational and graphical tools is driven by scientific needs.
Saturday Academay of Computing and Mathematics (SACAM) at the Oak Ridge National Laboratory
Clark, D.N. )
1991-01-01
To be part of the impending Information Age, our students and teachers must be trained in the use of computers, logic, and mathematics. The Saturday Academy of Computing and Mathematics (SACAM) represents one facet of Oak Ridge National Laboratory's (ORNL) response to meet the challenge. SACAM attempts to provide the area's best high school students with a creative program that illustrates how researchers are using computing and mathematics tools to help solve nationally recognized problems in virtually all scientific fields. Each SACAM program is designed as eight 3-hour sessions. Each session outlines a current scientific question or research area. Sessions are presented on a Saturday morning by a speaker team of two to four ORNL scientists (mentors) working in that particular field. Approximately four students and one teacher from each of ten area high schools attend the eight sessions. Session topics cover diverse problems such as climate modeling cryptography and cryptology, high-energy physics, human genome sequencing, and even the use of probability in locating people lost in a national forest. Evaluations from students, teachers, and speakers indicate that the program has been well received, and a tracking program is being undertaken to determine long-range benefits. An analysis of the program's successes and lessons learned is presented as well as resources required for the program.
NASA Astrophysics Data System (ADS)
Jogesh Babu, G.
2017-01-01
A year-long research (Aug 2016- May 2017) program on `Statistical, Mathematical and Computational Methods for Astronomy (ASTRO)’ is well under way at Statistical and Applied Mathematical Sciences Institute (SAMSI), a National Science Foundation research institute in Research Triangle Park, NC. This program has brought together astronomers, computer scientists, applied mathematicians and statisticians. The main aims of this program are: to foster cross-disciplinary activities; to accelerate the adoption of modern statistical and mathematical tools into modern astronomy; and to develop new tools needed for important astronomical research problems. The program provides multiple avenues for cross-disciplinary interactions, including several workshops, long-term visitors, and regular teleconferences, so participants can continue collaborations, even if they can only spend limited time in residence at SAMSI. The main program is organized around five working groups:i) Uncertainty Quantification and Astrophysical Emulationii) Synoptic Time Domain Surveysiii) Multivariate and Irregularly Sampled Time Seriesiv) Astrophysical Populationsv) Statistics, computation, and modeling in cosmology.A brief description of each of the work under way by these groups will be given. Overlaps among various working groups will also be highlighted. How the wider astronomy community can both participate and benefit from the activities, will be briefly mentioned.
2013-03-04
FSI): – Oscillatory interactions in engineering systems (e.g. aircraft, turbines , and bridges) can lead to failure – The blood flow in arteries...propagation: infer global heterogeneous wave speed from surface observations of seismic waveforms • 1.07 million uncertain parameters • 630M states
Physics, computer science and mathematics division. Annual report, 1 January - 31 December 1982
Jackson, J.D.
1983-08-01
Experimental physics research activities are described under the following headings: research on e/sup +/e/sup -/ annihilation; research at Fermilab; search for effects of a right-handed gauge boson; the particle data center; high energy astrophysics and interdisciplinary experiments; detector and other research and development; publications and reports of other research; computation and communication; and engineering, evaluation, and support operations. Theoretical particle physics research and heavy ion fusion research are described. Also, activities of the Computer Science and Mathematics Department are summarized. Publications are listed. (WHK)
Mathematic-computational modeling for the calculations involved in the Stern-Volmer theory
NASA Astrophysics Data System (ADS)
Thadeu, Felipe C.; Silva, Juliana A.; Silva, Dilson
2016-12-01
The present work consists of the description of a mathematic-computational routine to process the calculation, statistics, plotting graphs and then show binding constants of ligands to transport proteins, as described by the Stern-Volmer Theory. The quenching of fluorescence technique used to analyze samples produces a great amount of data to build spectral plots. The aim of the work is to develop a computational tool which simplify, turn confident and make agile to deal with the great mass of data generated by the fluorescence spectroscopy equipment.
NASA Technical Reports Server (NTRS)
Palusinski, O. A.; Allgyer, T. T.; Mosher, R. A.; Bier, M.; Saville, D. A.
1981-01-01
A mathematical model of isoelectric focusing at the steady state has been developed for an M-component system of electrochemically defined ampholytes. The model is formulated from fundamental principles describing the components' chemical equilibria, mass transfer resulting from diffusion and electromigration, and electroneutrality. The model consists of ordinary differential equations coupled with a system of algebraic equations. The model is implemented on a digital computer using FORTRAN-based simulation software. Computer simulation data are presented for several two-component systems showing the effects of varying the isoelectric points and dissociation constants of the constituents.
Computational experiment on the numerical solution of some inverse problems of mathematical physics
NASA Astrophysics Data System (ADS)
Vasil'ev, V. I.; Kardashevsky, A. M.; Sivtsev, PV
2016-11-01
In this article the computational experiment on the numerical solution of the most popular linear inverse problems for equations of mathematical physics are presented. The discretization of retrospective inverse problem for parabolic equation is performed using difference scheme with non-positive weight multiplier. Similar difference scheme is also used for the numerical solution of Cauchy problem for two-dimensional Laplace equation. The results of computational experiment, performed on model problems with exact solution, including ones with randomly perturbed input data are presented and discussed.
ERIC Educational Resources Information Center
Afzal, Muhammad Tanveer; Gondal, Bashir; Fatima, Nuzhat
2014-01-01
The major objective of the study was to elicit the effect of three instructional methods for teaching of mathematics on low, average and high achiever elementary school students. Three methods: traditional instructional method, computer assisted instruction (CAI) and teacher facilitated mathematics learning software were employed for the teaching…
ERIC Educational Resources Information Center
Ziya, Engin; Dogan, Nuri; Kelecioglu, Hulya
2010-01-01
This study aims at determining the extent to which computer using skills specified in Project for International Students Evaluation (PISA) 2006 predict Turkish students' achievement in mathematics. Apart from questions on mathematics, science and reading competencies, a student questionnaire, a school questionnaire and a parent questionnaire were…
ERIC Educational Resources Information Center
Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel
2013-01-01
There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to…
ERIC Educational Resources Information Center
Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel
2013-01-01
There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to…
ERIC Educational Resources Information Center
Kanive, Rebecca; Nelson, Peter M.; Burns, Matthew K.; Ysseldyke, James
2014-01-01
The authors' purpose was to determine the effects of computer-based practice and conceptual interventions on computational fluency and word-problem solving of fourth- and fifth-grade students with mathematics difficulties. A randomized pretest-posttest control group design found that students assigned to the computer-based practice intervention…
ERIC Educational Resources Information Center
Calhoon, Mary Beth; Fuchs, Lynn S.; Hamlett, Carol L.
2000-01-01
Over four weeks, 81 secondary students with learning disabilities were tested on four parallel mathematics performance assessments, each under a different condition: standard administration, teacher-read, computer-read, and computer-read with video. Results indicated that providing a reader, either human or computer, increased scores on…
NASA Astrophysics Data System (ADS)
Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel
2013-12-01
There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to address this need. We describe our work through the Advancing Out-of-School Learning in Mathematics and Engineering project by illustrating how an integrated curriculum that is based on mathematics with applications in image and video processing can be designed and how it can be implemented with middle school students from underrepresented groups.
Reingruber, Jürgen; Holcman, David
2014-11-01
Morphogenesis and axonal targeting are key processes during development that depend on complex interactions at molecular, cellular and tissue level. Mathematical modeling is essential to bridge this multi-scale gap in order to understand how the emergence of large structures is controlled at molecular level by interactions between various signaling pathways. We summarize mathematical modeling and computational methods for time evolution and precision of morphogenetic gradient formation. We discuss tissue patterning and the formation of borders between regions labeled by different morphogens. Finally, we review models and algorithms that reveal the interplay between morphogenetic gradients and patterned activity for axonal pathfinding and the generation of the retinotopic map in the visual system. Copyright © 2014 Elsevier Ltd. All rights reserved.
NASA Astrophysics Data System (ADS)
Li, Yiming
2007-12-01
This symposium is an open forum for discussion on the current trends and future directions of physical modeling, mathematical theory, and numerical algorithm in electrical and electronic engineering. The goal is for computational scientists and engineers, computer scientists, applied mathematicians, physicists, and researchers to present their recent advances and exchange experience. We welcome contributions from researchers of academia and industry. All papers to be presented in this symposium have carefully been reviewed and selected. They include semiconductor devices, circuit theory, statistical signal processing, design optimization, network design, intelligent transportation system, and wireless communication. Welcome to this interdisciplinary symposium in International Conference of Computational Methods in Sciences and Engineering (ICCMSE 2007). Look forward to seeing you in Corfu, Greece!
Neural Mechanisms Underlying the Computation of Hierarchical Tree Structures in Mathematics
Nakai, Tomoya; Sakai, Kuniyoshi L.
2014-01-01
Whether mathematical and linguistic processes share the same neural mechanisms has been a matter of controversy. By examining various sentence structures, we recently demonstrated that activations in the left inferior frontal gyrus (L. IFG) and left supramarginal gyrus (L. SMG) were modulated by the Degree of Merger (DoM), a measure for the complexity of tree structures. In the present study, we hypothesize that the DoM is also critical in mathematical calculations, and clarify whether the DoM in the hierarchical tree structures modulates activations in these regions. We tested an arithmetic task that involved linear and quadratic sequences with recursive computation. Using functional magnetic resonance imaging, we found significant activation in the L. IFG, L. SMG, bilateral intraparietal sulcus (IPS), and precuneus selectively among the tested conditions. We also confirmed that activations in the L. IFG and L. SMG were free from memory-related factors, and that activations in the bilateral IPS and precuneus were independent from other possible factors. Moreover, by fitting parametric models of eight factors, we found that the model of DoM in the hierarchical tree structures was the best to explain the modulation of activations in these five regions. Using dynamic causal modeling, we showed that the model with a modulatory effect for the connection from the L. IPS to the L. IFG, and with driving inputs into the L. IFG, was highly probable. The intrinsic, i.e., task-independent, connection from the L. IFG to the L. IPS, as well as that from the L. IPS to the R. IPS, would provide a feedforward signal, together with negative feedback connections. We indicate that mathematics and language share the network of the L. IFG and L. IPS/SMG for the computation of hierarchical tree structures, and that mathematics recruits the additional network of the L. IPS and R. IPS. PMID:25379713
Neural mechanisms underlying the computation of hierarchical tree structures in mathematics.
Nakai, Tomoya; Sakai, Kuniyoshi L
2014-01-01
Whether mathematical and linguistic processes share the same neural mechanisms has been a matter of controversy. By examining various sentence structures, we recently demonstrated that activations in the left inferior frontal gyrus (L. IFG) and left supramarginal gyrus (L. SMG) were modulated by the Degree of Merger (DoM), a measure for the complexity of tree structures. In the present study, we hypothesize that the DoM is also critical in mathematical calculations, and clarify whether the DoM in the hierarchical tree structures modulates activations in these regions. We tested an arithmetic task that involved linear and quadratic sequences with recursive computation. Using functional magnetic resonance imaging, we found significant activation in the L. IFG, L. SMG, bilateral intraparietal sulcus (IPS), and precuneus selectively among the tested conditions. We also confirmed that activations in the L. IFG and L. SMG were free from memory-related factors, and that activations in the bilateral IPS and precuneus were independent from other possible factors. Moreover, by fitting parametric models of eight factors, we found that the model of DoM in the hierarchical tree structures was the best to explain the modulation of activations in these five regions. Using dynamic causal modeling, we showed that the model with a modulatory effect for the connection from the L. IPS to the L. IFG, and with driving inputs into the L. IFG, was highly probable. The intrinsic, i.e., task-independent, connection from the L. IFG to the L. IPS, as well as that from the L. IPS to the R. IPS, would provide a feedforward signal, together with negative feedback connections. We indicate that mathematics and language share the network of the L. IFG and L. IPS/SMG for the computation of hierarchical tree structures, and that mathematics recruits the additional network of the L. IPS and R. IPS.
ERIC Educational Resources Information Center
Leh, Jayne M.; Jitendra, Asha K.
2013-01-01
This study compared the effectiveness of computer-mediated instruction (CMI) and teacher-mediated instruction (TMI) on the word problem-solving performance of students struggling in mathematics. Both conditions integrated cognitive modeling that focused on the problem structure using visual representations with critical instructional elements…
The mathematics of a quantum Hamiltonian computing half adder Boolean logic gate
NASA Astrophysics Data System (ADS)
Dridi, G.; Julien, R.; Hliwa, M.; Joachim, C.
2015-08-01
The mathematics behind the quantum Hamiltonian computing (QHC) approach of designing Boolean logic gates with a quantum system are given. Using the quantum eigenvalue repulsion effect, the QHC AND, NAND, OR, NOR, XOR, and NXOR Hamiltonian Boolean matrices are constructed. This is applied to the construction of a QHC half adder Hamiltonian matrix requiring only six quantum states to fullfil a half Boolean logical truth table. The QHC design rules open a nano-architectronic way of constructing Boolean logic gates inside a single molecule or atom by atom at the surface of a passivated semi-conductor.
The mathematics of a quantum Hamiltonian computing half adder Boolean logic gate.
Dridi, G; Julien, R; Hliwa, M; Joachim, C
2015-08-28
The mathematics behind the quantum Hamiltonian computing (QHC) approach of designing Boolean logic gates with a quantum system are given. Using the quantum eigenvalue repulsion effect, the QHC AND, NAND, OR, NOR, XOR, and NXOR Hamiltonian Boolean matrices are constructed. This is applied to the construction of a QHC half adder Hamiltonian matrix requiring only six quantum states to fullfil a half Boolean logical truth table. The QHC design rules open a nano-architectronic way of constructing Boolean logic gates inside a single molecule or atom by atom at the surface of a passivated semi-conductor.
Geometry, analysis, and computation in mathematics and applied sciences. Final report
Kusner, R.B.; Hoffman, D.A.; Norman, P.; Pedit, F.; Whitaker, N.; Oliver, D.
1995-12-31
Since 1993, the GANG laboratory has been co-directed by David Hoffman, Rob Kusner and Peter Norman. A great deal of mathematical research has been carried out here by them and by GANG faculty members Franz Pedit and Nate Whitaker. Also new communication tools, such as the GANG Webserver have been developed. GANG has trained and supported nearly a dozen graduate students, and at least half as many undergrads in REU projects.The GANG Seminar continues to thrive, making Amherst a site for short and long term visitors to come to work with the GANG. Some of the highlights of recent or ongoing research at GANG include: CMC surfaces, minimal surfaces, fluid dynamics, harmonic maps, isometric immersions, knot energies, foam structures, high dimensional soap film singularities, elastic curves and surfaces, self-similar curvature evolution, integrable systems and theta functions, fully nonlinear geometric PDE, geometric chemistry and biology. This report is divided into the following sections: (1) geometric variational problems; (2) soliton geometry; (3) embedded minimal surfaces; (4) numerical fluid dynamics and mathematical modeling; (5) GANG graphics and mathematical software; (6) description of the computational and visual analysis facility; and (7) research by undergraduates and GANG graduate seminar.
NASA Astrophysics Data System (ADS)
Fogarty, Gerry; Cretchley, Patricia; Harman, Chris; Ellerton, Nerida; Konki, Nissam
2001-09-01
This study reports on the validation of a questionnaire designed to measure general mathematics confidence, general confidence with using technology, and attitudes towards the use of technology for mathematics learning. A questionnaire was administered to 289 students commencing a tertiary level course on linear algebra and calculus. Scales formed on the basis of factor analysis demonstrated high internal consistency reliability and divergent validity. A repeat administration confirmed the earlier psychometric findings as well as establishing good test-retest reliability. The resulting instrument can be used to measure attitudinal factors that mediate the effective use of technology in mathematics learning.
ERIC Educational Resources Information Center
Feng, Chuan C.
Reported is the Cooperative College-School Science Program in Computing Science Education which was conducted by the University of Colorado Department of Civil Engineering in the summer of 1967. The program consisted of two five-week terms. The course work was composed of two formal lecture courses in Computer Related Mathematics and Computer…
Bendixsen, C L
1982-11-01
A computer-based mathematical program, ICPSEF, was developed for the first-cycle extraction system at the Idaho Chemical Processing Plant (ICPP). At the ICPP, spent nuclear fuels are processed to recover unfissioned uranium. The uranium is recovered from aqueous solutions in a pulse column, solvent extraction system using tributyl phosphate (TBP) solvent (purex process). A previously developed SEPHIS-MOD4 computer program was added to and modified to provide a model for the ICPP system. Major modifications included addition of: (1) partial theoretical stages to permit more accurate modeling of ICPP columns, (2) modeling ammonium hydroxide neutralization of nitric acid in a scrubbing column, and (3) equilibrium data for 5 to 10 vol % TBP. The model was verified by comparison with actual operating data. Detailed instructions for using the ICPSEF model and sample results of the model are included.
Mabbott, Donald J; Bisanz, Jeffrey
2008-01-01
Knowledge and skill in multiplication were investigated for late elementary-grade students with mathematics learning disabilities (MLD), typically achieving age-matched peers, low-achieving age-matched peers, and ability-matched peers by examining multiple measures of computational skill, working memory, and conceptual knowledge. Poor multiplication fact mastery and calculation fluency and general working memory discriminated children with MLD from typically achieving age-matched peers. Furthermore, children with MLD were slower in executing backup procedures than typically achieving age-matched peers. The performance of children with MLD on multiple measures of multiplication skill and knowledge was most similar to that of ability-matched younger children. MLD may be due to difficulties in computational skills and working memory. Implications for the diagnosis and remediation of MLD are discussed.
ERIC Educational Resources Information Center
Sanders, Jo
From 1990 to 1993, 200 educators, primarily classroom teachers of computers, mathematics, and science, participated in the Computer Equity Expert Project. After a seminar on gender equity in these fields, the educators returned to their schools and taught workshops to their colleagues. Together, workshop participants and their colleagues developed…
ERIC Educational Resources Information Center
de Kock, Willem D.; Harskamp, Egbert G.
2014-01-01
Teachers in primary education experience difficulties in teaching word problem solving in their mathematics classes. However, during controlled experiments with a metacognitive computer programme, students' problem-solving skills improved. Also without the supervision of researchers, metacognitive computer programmes can be beneficial in a natural…
ERIC Educational Resources Information Center
Threlfall, John; Pool, Peter; Homer, Matthew; Swinnerton, Bronwen
2007-01-01
This article explores the effect on assessment of "translating" paper and pencil test items into their computer equivalents. Computer versions of a set of mathematics questions derived from the paper-based end of key stage 2 and 3 assessments in England were administered to age appropriate pupil samples, and the outcomes compared.…
ERIC Educational Resources Information Center
Gunbas, Nilgun
2012-01-01
The purpose of this study was to investigate the effect of a computer-based story on sixth grade students' mathematics word problem solving achievement. Problems were embedded in a story presented on a computer, and then compared to a paper-based story and to a condition that presented the problems as typical, isolated words problems. One hundred…
ERIC Educational Resources Information Center
Riccomini, Paul J.
2008-01-01
This paper is an analysis of published research on computer-assisted instruction (CAI) for mathematics involving students with learning disabilities. A systematic search of the literature on computer-assisted instructional interventions for students with learning disabilities yielded 25 studies that met the criteria for inclusion in this analysis.…
Uncertainty and variability in computational and mathematical models of cardiac physiology
Mirams, Gary R.; Pathmanathan, Pras; Gray, Richard A.; Challenor, Peter
2016-01-01
Key points Mathematical and computational models of cardiac physiology have been an integral component of cardiac electrophysiology since its inception, and are collectively known as the Cardiac Physiome.We identify and classify the numerous sources of variability and uncertainty in model formulation, parameters and other inputs that arise from both natural variation in experimental data and lack of knowledge.The impact of uncertainty on the outputs of Cardiac Physiome models is not well understood, and this limits their utility as clinical tools.We argue that incorporating variability and uncertainty should be a high priority for the future of the Cardiac Physiome.We suggest investigating the adoption of approaches developed in other areas of science and engineering while recognising unique challenges for the Cardiac Physiome; it is likely that novel methods will be necessary that require engagement with the mathematics and statistics community. Abstract The Cardiac Physiome effort is one of the most mature and successful applications of mathematical and computational modelling for describing and advancing the understanding of physiology. After five decades of development, physiological cardiac models are poised to realise the promise of translational research via clinical applications such as drug development and patient‐specific approaches as well as ablation, cardiac resynchronisation and contractility modulation therapies. For models to be included as a vital component of the decision process in safety‐critical applications, rigorous assessment of model credibility will be required. This White Paper describes one aspect of this process by identifying and classifying sources of variability and uncertainty in models as well as their implications for the application and development of cardiac models. We stress the need to understand and quantify the sources of variability and uncertainty in model inputs, and the impact of model structure and complexity and
Effectiveness of Computer Assisted Instructions (CAI) in Teaching of Mathematics at Secondary Level
NASA Astrophysics Data System (ADS)
Dhevakrishnan, R.; Devi, S.; Chinnaiyan, K.
2012-09-01
The present study was aimed at effectiveness of computer assisted instructions (CAI) in teaching of mathematics at secondary level adopted experimental method and observing the difference between (CAI) and traditional method. A sample of sixty (60) students of IX class in VVB Matriculation Higher Secondary School at Elayampalayam, Namakkal district were selected for a sample and sample was divided into two group namely experiment and control group. The experimental group consisted 30 students who were taught 'Mensurationí by the computer assisted instructions and the control groups comprising 30 students were taught by the conventional method of teaching. Data analyzed using mean, S.D. and t-test. Findings of the study clearly point out that significant increase in the mean gain scores has been found in the post test scores of the experimental group. Significant differences have been found between the control group and experimental group on post test gain scores. The experiment group, which was taught by the CAI showed better, learning. The conclusion is evident that the CAI is an effective media of instruction for teaching Mathematics at secondary students.s
ERIC Educational Resources Information Center
Lopez-Morteo, Gabriel; Lopez, Gilberto
2007-01-01
In this paper, we introduce an electronic collaborative learning environment based on Interactive Instructors of Recreational Mathematics (IIRM), establishing an alternative approach for motivating students towards mathematics. The IIRM are educational software components, specializing in mathematical concepts, presented through recreational…
Using computer algebra and SMT-solvers to analyze a mathematical model of cholera propagation
NASA Astrophysics Data System (ADS)
Trujillo Arredondo, Mariana
2014-06-01
We analyze a mathematical model for the transmission of cholera. The model is already defined and involves variables such as the pathogen agent, which in this case is the bacterium Vibrio cholera, and the human population. The human population is divided into three classes: susceptible, infectious and removed. Using Computer Algebra, specifically Maple we obtain two equilibrium states: the disease free state and the endemic state. Using Maple it is possible to prove that the disease free state is locally asymptotically stable if and only if R0 < 1. Using Maple it is possible to prove that the endemic equilibrium state is locally stable when it exists, it is to say when R0 > 1. Using the package Red-Log of the Computer algebra system Reduce and the SMT-Solver Z3Py it is possible to obtain numerical conditions for the model. The formula for the basic reproductive number makes a synthesis with all epidemic parameters in the model. Also it is possible to make numerical simulations which are very illustrative about the epidemic patters that are expected to be observed in real situations. We claim that these kinds of software are very useful in the analysis of epidemic models given that the symbolic computation provides algebraic formulas for the basic reproductive number and such algebraic formulas are very useful to derive control measures. For other side, computer algebra software is a powerful tool to make the stability analysis for epidemic models given that the all steps in the stability analysis can be made automatically: finding the equilibrium points, computing the jacobian, computing the characteristic polynomial for the jacobian, and applying the Routh-Hurwitz theorem to the characteristic polynomial. Finally, using SMT-Solvers is possible to make automatically checks of satisfiability, validity and quantifiers elimination being these computations very useful to analyse complicated epidemic models.
Physics, Computer Science and Mathematics Division annual report, 1 January-31 December 1981
Birge, R.W.
1982-12-01
This report summarizes the research performed in the Physics, Computer Science and Mathematics Division of the Lawrence Berkeley Laboratory during calendar year 1981. During the year under review the Division devoted roughly half its effort to the final construction stages of the Time Projection Chamber and other equipment for the PEP-4 facility at SLAC. The year was marked by the successful passage of milestone after milestone - the two-sector test of the TPC with cosmic rays in July 1981, the full TPC test in November 1981, and the roll-in onto the PEP beam line on 6 January 1982. In other e/sup +/e/sup -/ experiments, the Mark II detector continued its productive data-taking at PEP. In other areas, the final stages of data analysis, particularly for the structure functions, proceeded for the inelastic muon scattering experiment performed at Fermilab, a muon polarimeter experiment was developed and mounted at TRIUMF to probe for the presence of right-handed currents in muon decay, and the design and then construction began of fine-grained hadron calorimeters for the end caps of the Colliding Detector Facility at Fermilab. The Particle Data Group intensified its activities, despite financial constraints, as it proceeded toward production of a new edition of its authoritative Review of Particle Properties early in 1982. During 1981 the Theoretical Physics Group pursued a diverse spectrum of research in its own right and also interacted effectively with the experimental program. Research and development continued on the segmented mirror for the ten-meter telescope proposed by the University of California. Activities in the Computer Science and Mathematics Department encompassed networking, database management, software engineering, and computer graphics, as well as basic research in nonlinear phenomena in combustion and fluid flow.
Applied & Computational MathematicsChallenges for the Design and Control of Dynamic Energy Systems
Brown, D L; Burns, J A; Collis, S; Grosh, J; Jacobson, C A; Johansen, H; Mezic, I; Narayanan, S; Wetter, M
2011-03-10
The Energy Independence and Security Act of 2007 (EISA) was passed with the goal 'to move the United States toward greater energy independence and security.' Energy security and independence cannot be achieved unless the United States addresses the issue of energy consumption in the building sector and significantly reduces energy consumption in buildings. Commercial and residential buildings account for approximately 40% of the U.S. energy consumption and emit 50% of CO{sub 2} emissions in the U.S. which is more than twice the total energy consumption of the entire U.S. automobile and light truck fleet. A 50%-80% improvement in building energy efficiency in both new construction and in retrofitting existing buildings could significantly reduce U.S. energy consumption and mitigate climate change. Reaching these aggressive building efficiency goals will not happen without significant Federal investments in areas of computational and mathematical sciences. Applied and computational mathematics are required to enable the development of algorithms and tools to design, control and optimize energy efficient buildings. The challenge has been issued by the U.S. Secretary of Energy, Dr. Steven Chu (emphasis added): 'We need to do more transformational research at DOE including computer design tools for commercial and residential buildings that enable reductions in energy consumption of up to 80 percent with investments that will pay for themselves in less than 10 years.' On July 8-9, 2010 a team of technical experts from industry, government and academia were assembled in Arlington, Virginia to identify the challenges associated with developing and deploying newcomputational methodologies and tools thatwill address building energy efficiency. These experts concluded that investments in fundamental applied and computational mathematics will be required to build enabling technology that can be used to realize the target of 80% reductions in energy consumption. In addition the
Mathematical model and dynamic computer simulation on free flow zone electrophoresis.
Zhang, Jie; Yan, Jian; Li, Si; Pang, Bo; Guo, Cheng-Gang; Cao, Cheng-Xi; Jin, Xin-Qiao
2013-10-07
In this paper, a mathematical model was proposed for calculating physico-chemical parameters and simulating the separation process of solutes in free-flow zone electrophoresis (FFZE). Computer software was developed and implemented in a Delphi XE2 environment based on the model, which comprises zone electrophoresis, electrolyte solution, hydrodynamics and diffusion as well as conversion equations. The simulation results reveal that (i) the software is capable of simulating a dynamic process of FFZE properly; (ii) the software can simulate operation parameters (e.g., electric field, flow rate and pH value) for experimental optimization; (iii) the simulator is able to display the final electropherogram of numerous analytes in FFZE; and (iv) the electropherogram of FFZE can be automatically converted to that of capillary zone electrophoresis. In order to verify the rationality and reliability of this software, the relevant experiments were conducted and further compared with the simulations. The comparisons demonstrated the high agreement between the simulations and the experiments as well as those cited from the relevant references. In addition, effective mobility, diffusion coefficient and concentration of solutes can be conveniently gained via the software. The developed mathematical model and designed software have evident significance for the optimization of experimental conditions and basic physico-chemical parameters in FFZE.
ERIC Educational Resources Information Center
Athappilly, Kuriakose; And Others
1983-01-01
The aggregate findings of experiments with modern mathematics for the last 30 years show that there have not been many detrimental effects of "new math" either on achievement or attitude. Instead, the evidence points toward beneficial effects in terms of improvement in overall achievement and attitude. (Author/BW)
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 <0.5 in ROC analysis were combined into integrated parameter 1 and integrated parameter 2, respectively. Multivariate analysis showed that integrated parameter 1 (P = 0.040) was independent prognostic factor of patients' 5-year disease free survival. The hazard risk ratio of integrated parameter 1 was 1.454 (HR 95% CI [1.017-2.078]), higher than that of N stage (HR 1.396, 95% CI [1.125-1.733]) and hormone receptor status (HR 0.575, 95% CI [0.353-0.936]), but lower than that of histological grading (HR 3.370, 95% CI [1.125-5.364]) and T stage (HR 1.610, 95% CI [1.026 -2.527]). This study indicated integrated parameter 1 of mathematical features (number, circularity and total perimeter) of tumor nests could be a useful parameter to predict the prognosis of early stage breast invasive ductal carcinoma.
NASA Astrophysics Data System (ADS)
Kaski, K.; Salomaa, M.
1990-01-01
These are Proceedings of the Third Nordic Symposium on Computer Simulation in Physics, Chemistry, Biology, and Mathematics, held August 25-26, 1989, at Lahti (Finland). The Symposium belongs to an annual series of Meetings, the first one of which was arranged in 1987 at Lund (Sweden) and the second one in 1988 at Kolle-Kolle near Copenhagen (Denmark). Although these Symposia have thus far been essentially Nordic events, their international character has increased significantly; the trend is vividly reflected through contributions in the present Topical Issue. The interdisciplinary nature of Computational Science is central to the activity; this fundamental aspect is also responsible, in an essential way, for its rapidly increasing impact. Crucially important to a wide spectrum of superficially disparate fields is the common need for extensive - and often quite demanding - computational modelling. For such theoretical models, no closed-form (analytical) solutions are available or they would be extremely difficult to find; hence one must rather resort to the Art of performing computational investigations. Among the unifying features in the computational research are the methods of simulation employed; methods which frequently are quite closely related with each other even for faculties of science that are quite unrelated. Computer simulation in Natural Sciences is presently apprehended as a discipline on its own right, occupying a broad region somewhere between the experimental and theoretical methods, but also partially overlapping with and complementing them. - Whichever its proper definition may be, the computational approach serves as a novel and an extremely versatile tool with which one can equally well perform "pure" experimental modelling and conduct "computational theory". Computational studies that have earlier been made possible only through supercomputers have opened unexpected, as well as exciting, novel frontiers equally in mathematics (e.g., fractals
ERIC Educational Resources Information Center
Pilli, Olga; Aksu, Meral
2013-01-01
The purpose of this study was to examine the effects of the educational software "Frizbi Mathematics 4" on 4th grade student's mathematics achievement, retention, attitudes toward mathematics and attitude toward computer assisted learning. Two groups (experimental and control) of students from the state primary school in Gazimagusa,…
ERIC Educational Resources Information Center
Hartley, M. Shaheed; Treagust, David F.
2014-01-01
This study responded to a national call to improve the outcomes in mathematics in the Grade 12 matriculation examination in South Africa by reporting learners' perceptions of the introduction of computer-assisted learning in their mathematics classrooms. Three Grade 12 mathematics classes in a peri-urban school in South Africa were visited over a…
ERIC Educational Resources Information Center
Pilli, Olga; Aksu, Meral
2013-01-01
The purpose of this study was to examine the effects of the educational software "Frizbi Mathematics 4" on 4th grade student's mathematics achievement, retention, attitudes toward mathematics and attitude toward computer assisted learning. Two groups (experimental and control) of students from the state primary school in Gazimagusa,…
ERIC Educational Resources Information Center
Hartley, M. Shaheed; Treagust, David F.
2014-01-01
This study responded to a national call to improve the outcomes in mathematics in the Grade 12 matriculation examination in South Africa by reporting learners' perceptions of the introduction of computer-assisted learning in their mathematics classrooms. Three Grade 12 mathematics classes in a peri-urban school in South Africa were visited over a…
1980-10-01
Research during the period is sketched in a series of abstract-length summaries. The forte of the Laboratory lies in the development and analysis of mathematical models and efficient computing methods for the rapid solution of technological problems of interest to DOE, in particular, the detailed calculation on large computers of complicated fluid flows in which reactions and heat conduction may be taking place. The research program of the Laboratory encompasses two broad categories: analytical and numerical methods, which include applied analysis, computational mathematics, and numerical methods for partial differential equations, and advanced computer concepts, which include software engineering, distributed systems, and high-performance systems. Lists of seminars and publications are included. (RWR)
Methods of Mathematical and Computational Physics for Industry, Science, and Technology
NASA Astrophysics Data System (ADS)
Melnik, Roderick V. N.; Voss, Frands
2006-11-01
Many industrial problems provide scientists with important and challenging problems that need to be solved today rather than tomorrow. The key role of mathematical physics, modelling, and computational methodologies in addressing such problems continues to increase. Science has never been exogenous to applied research. Gigantic ships and steam engines, repeating catapult of Dionysius and the Antikythera `computer' invented around 80BC are just a few examples demonstrating a profound link between theoretical and applied science in the ancient world. Nowadays, many industrial problems are typically approached by groups of researchers who are working as a team bringing their expertise to the success of the entire enterprise. Since the late 1960s several groups of European mathematicians and scientists have started organizing regular meetings, seeking new challenges from industry and contributing to the solution of important industrial problems. In particular, this often took the format of week-long workshops originally initiated by the Oxford Study Groups with Industry in 1968. Such workshops are now held in many European countries (typically under the auspices of the European Study Groups with Industry - ESGI), as well as in Australia, Canada, the United States, and other countries around the world. Problems given by industrial partners are sometimes very difficult to complete within a week. However, during a week of brainstorming activities these problems inevitably stimulate developing fruitful new ideas, new approaches, and new collaborations. At the same time, there are cases where as soon as the problem is formulated mathematically, it is relatively easy to solve. Hence, putting the industrial problem into a mathematical framework, based on physical laws, often provides a key element to the success. In addition to this important first step, the value in such cases is the real, practical applicability of the results obtained for an industrial partner who presents
NASA Astrophysics Data System (ADS)
Saldarriaga Vargas, Clarita
When there are diseases affecting large populations where the social, economic and cultural diversity is significant within the same region, the biological parameters that determine the behavior of the dispersion disease analysis are affected by the selection of different individuals. Therefore and because of the variety and magnitude of the communities at risk of contracting dengue disease around all over the world, suggest defining differentiated populations with individual contributions in the results of the dispersion dengue disease analysis. In this paper those conditions were taken in account when several epidemiologic models were analyzed. Initially a stability analysis was done for a SEIR mathematical model of Dengue disease without differential susceptibility. Both free disease and endemic equilibrium states were found in terms of the basic reproduction number and were defined in the Theorem (3.1). Then a DSEIR model was solved when a new susceptible group was introduced to consider the effects of important biological parameters of non-homogeneous populations in the spreading analysis. The results were compiled in the Theorem (3.2). Finally Theorems (3.3) and (3.4) resumed the basic reproduction numbers for three and n different susceptible groups respectively, giving an idea of how differential susceptibility affects the equilibrium states. The computations were done using an algorithmic method implemented in Maple 11, a general-purpose computer algebra system.
Patra, Subir; Banerjee, Sourav; Terejanu, Gabriel; Chanda, Anindya
2015-01-01
Colony expansion is an essential feature of fungal infections. Although mechanisms that regulate hyphal forces on the substrate during expansion have been reported previously, there is a critical need of a methodology that can compute the pressure profiles exerted by fungi on substrates during expansion; this will facilitate the validation of therapeutic efficacy of novel antifungals. Here, we introduce an analytical decoding method based on Biot’s incremental stress model, which was used to map the pressure distribution from an expanding mycelium of a popular plant pathogen, Aspergillus parasiticus. Using our recently developed Quantitative acoustic contrast tomography (Q-ACT) we detected that the mycelial growth on the solid agar created multiple surface and subsurface wrinkles with varying wavelengths across the depth of substrate that were computable with acousto-ultrasonic waves between 50 MHz–175 MHz. We derive here the fundamental correlation between these wrinkle wavelengths and the pressure distribution on the colony subsurface. Using our correlation we show that A. parasiticus can exert pressure as high as 300 KPa on the surface of a standard agar growth medium. The study provides a novel mathematical foundation for quantifying fungal pressures on substrate during hyphal invasions under normal and pathophysiological growth conditions. PMID:26262897
ERIC Educational Resources Information Center
Dotson, Daniel S.; Franks, Tina P.
2015-01-01
More than 53,000 citations from 609 dissertations published at The Ohio State University between 1998-2012 representing four science disciplines--civil engineering, computer science, mathematics and physics--were examined to determine what, if any, preferences or trends exist. This case study seeks to identify whether or not researcher preferences…
ERIC Educational Resources Information Center
Aksu, Hasan Hüseyin
2014-01-01
This study aims to investigate, in terms of different variables, the views of prospective Mathematics teachers on tablet computers to be used in schools as an outcome of the Fatih Project, which was initiated by the Ministry of National Education. In the study, scanning model, one of the quantitative research methods, was used. In the population…
ERIC Educational Resources Information Center
Nejem, Khamis Mousa; Muhanna, Wafa
2013-01-01
The purpose of this study was to investigate the effect of using computer games in teaching mathematics on developing the number sense of fourth grade students. To achieve this purpose a study sample of (81) students was selected from the fourth grade. This sample was divided into two groups. One group was randomly chosen to be the experimental…
ERIC Educational Resources Information Center
Gambari, A. I.; Falode, C. O.; Adegbenro, D. A.
2014-01-01
This study investigated the effectiveness of computer animation and geometry instructional model on mathematics achievement and retention on Junior Secondary School Students in Minna, Nigeria. It also examined the influence of gender on students' achievement and retention. The research was a pre-test post-test experimental and control group…
ERIC Educational Resources Information Center
Dogan, Mustafa
2010-01-01
This study explores Turkish primary mathematics trainee teachers' attitudes to computer and technology. A survey was conducted with a self constructed questionnaire. Piloting, factor and reliability ([alpha] = 0.94) analyses were performed. The final version of the questionnaire has three parts with a total of 48 questions including a Likert type…
ERIC Educational Resources Information Center
Dotson, Daniel S.; Franks, Tina P.
2015-01-01
More than 53,000 citations from 609 dissertations published at The Ohio State University between 1998-2012 representing four science disciplines--civil engineering, computer science, mathematics and physics--were examined to determine what, if any, preferences or trends exist. This case study seeks to identify whether or not researcher preferences…
ERIC Educational Resources Information Center
Nejem, Khamis Mousa; Muhanna, Wafa
2013-01-01
The purpose of this study was to investigate the effect of using computer games in teaching mathematics on developing the number sense of fourth grade students. To achieve this purpose a study sample of (81) students was selected from the fourth grade. This sample was divided into two groups. One group was randomly chosen to be the experimental…
ERIC Educational Resources Information Center
Promraksa, Siwarak; Sangaroon, Kiat; Inprasitha, Maitree
2014-01-01
The objectives of this research were to study and analyze the characteristics of computational thinking about the estimation of the students in mathematics classroom applying lesson study and open approach. Members of target group included 4th grade students of 2011 academic year of Choomchon Banchonnabot School. The Lesson plan used for data…
ERIC Educational Resources Information Center
Hickendorff, Marian
2013-01-01
The results of an exploratory study into measurement of elementary mathematics ability are presented. The focus is on the abilities involved in solving standard computation problems on the one hand and problems presented in a realistic context on the other. The objectives were to assess to what extent these abilities are shared or distinct, and…
ERIC Educational Resources Information Center
Yushau, Balarabe
2006-01-01
As the pedagogical-effectiveness of information technology (IT) in mathematics education is carefully established the topic of discourse among mathematicians and mathematics educators is no longer a dispute about whether or not to use IT in the teaching and learning of mathematics but a shift to some debate about the when and how of its usage.…
ERIC Educational Resources Information Center
Yushau, Balarabe
2006-01-01
As the pedagogical-effectiveness of information technology (IT) in mathematics education is carefully established the topic of discourse among mathematicians and mathematics educators is no longer a dispute about whether or not to use IT in the teaching and learning of mathematics but a shift to some debate about the when and how of its usage.…
Wahle, Chris W; Ross, David S; Thurston, George M
2012-07-21
We provide a mathematical and computational analysis of light scattering measurement of mixing free energies of quaternary isotropic liquids. In previous work, we analyzed mathematical and experimental design considerations for the ternary mixture case [D. Ross, G. Thurston, and C. Lutzer, J. Chem. Phys. 129, 064106 (2008); C. Wahle, D. Ross, and G. Thurston, J. Chem. Phys. 137, 034201 (2012)]. Here, we review and introduce dimension-free general formulations of the fully nonlinear partial differential equation (PDE) and its linearization, a basis for applying the method to composition spaces of any dimension, in principle. With numerical analysis of the PDE as applied to the light scattering implied by a test free energy and dielectric gradient combination, we show that values of the Rayleigh ratio within the quaternary composition tetrahedron can be used to correctly reconstruct the composition dependence of the free energy. We then extend the analysis to the case of a finite number of data points, measured with noise. In this context the linearized PDE describes the relevant diffusion of information from light scattering noise to the free energy. The fully nonlinear PDE creates a special set of curves in the composition tetrahedron, collections of which form characteristics of the nonlinear and linear PDEs, and we show that the information diffusion has a time-like direction along the positive normals to these curves. With use of Monte Carlo simulations of light scattering experiments, we find that for a modest laboratory light scattering setup, about 100-200 samples and 100 s of measurement time are enough to be able to measure the mixing free energy over the entire quaternary composition tetrahedron, to within an L(2) error norm of 10(-3). The present method can help quantify thermodynamics of quaternary isotropic liquid mixtures.
Wahle, Chris W.; Ross, David S.; Thurston, George M.
2012-01-01
We provide a mathematical and computational analysis of light scattering measurement of mixing free energies of quaternary isotropic liquids. In previous work, we analyzed mathematical and experimental design considerations for the ternary mixture case [D. Ross, G. Thurston, and C. Lutzer, J. Chem. Phys. 129, 064106 (2008)10.1063/1.2937902;C. Wahle, D. Ross, and G. Thurston, J. Chem. Phys. 137, 034201 (2012)10.1063/1.4731694]. Here, we review and introduce dimension-free general formulations of the fully nonlinear partial differential equation (PDE) and its linearization, a basis for applying the method to composition spaces of any dimension, in principle. With numerical analysis of the PDE as applied to the light scattering implied by a test free energy and dielectric gradient combination, we show that values of the Rayleigh ratio within the quaternary composition tetrahedron can be used to correctly reconstruct the composition dependence of the free energy. We then extend the analysis to the case of a finite number of data points, measured with noise. In this context the linearized PDE describes the relevant diffusion of information from light scattering noise to the free energy. The fully nonlinear PDE creates a special set of curves in the composition tetrahedron, collections of which form characteristics of the nonlinear and linear PDEs, and we show that the information diffusion has a time-like direction along the positive normals to these curves. With use of Monte Carlo simulations of light scattering experiments, we find that for a modest laboratory light scattering setup, about 100–200 samples and 100 s of measurement time are enough to be able to measure the mixing free energy over the entire quaternary composition tetrahedron, to within an \\documentclass[12pt]{minimal}\\begin{document}$\\mathcal {L}_2$\\end{document}L2 error norm of 10−3. The present method can help quantify thermodynamics of quaternary isotropic liquid mixtures. PMID:22830694
NASA Astrophysics Data System (ADS)
Schäfer, Andreas; Holz, Jan; Leonhardt, Thiemo; Schroeder, Ulrik; Brauner, Philipp; Ziefle, Martina
2013-06-01
In this study, we address the problem of low retention and high dropout rates of computer science university students in early semesters of the studies. Complex and high abstract mathematical learning materials have been identified as one reason for the dropout rate. In order to support the understanding and practicing of core mathematical concepts, we developed a game-based multitouch learning environment in which the need for a suitable learning environment for mathematical logic was combined with the ability to train cooperation and collaboration in a learning scenario. As application domain, the field of mathematical logic had been chosen. The development process was accomplished along three steps: First, ethnographic interviews were run with 12 students of computer science revealing typical problems with mathematical logic. Second, a multitouch learning environment was developed. The game consists of multiple learning and playing modes in which teams of students can collaborate or compete against each other. Finally, a twofold evaluation of the environment was carried out (user study and cognitive walk-through). Overall, the evaluation showed that the game environment was easy to use and rated as helpful: The chosen approach of a multiplayer game supporting competition, collaboration, and cooperation is perceived as motivating and "fun."
1989-03-31
8217 - ".4. QUALC MI InI Fnal ’I, nica•Re ri re the R.e.- Rh ii’ mathematics and Conmputer Sciece II .,u. A , pi i- pr - l ,--I ( pf(6) where Aj is the number...Techna, Re for the Reseaý tn Mathematics and ter Sciec if ((polyp = fopen("polys","r")) == (FILE *) 0) fprintf(stderr,"sorry, error opening polynomials...Technicail Rejm [or the Researh in Madkieatics and Computer Sciec Table 1. Sampled Weight Distributions for 24 Bit CRCs at Block Length n = 32 Weight
Computational physics and applied mathematics capability review June 8-10, 2010
Lee, Stephen R
2010-01-01
Los Alamos National Laboratory will review its Computational Physics and Applied Mathematics (CPAM) capabilities in 2010. The goals of capability reviews are to assess the quality of science, technology, and engineering (STE) performed by the capability, evaluate the integration of this capability across the Laboratory and within the scientific community, examine the relevance of this capability to the Laboratory's programs, and provide advice on the current and future directions of this capability. This is the first such review for CPAM, which has a long and unique history at the Laboratory, starting from the inception of the Laboratory in 1943. The CPAM capability covers an extremely broad technical area at Los Alamos, encompassing a wide array of disciplines, research topics, and organizations. A vast array of technical disciplines and activities are included in this capability, from general numerical modeling, to coupled multi-physics simulations, to detailed domain science activities in mathematics, methods, and algorithms. The CPAM capability involves over 12 different technical divisions and a majority of our programmatic and scientific activities. To make this large scope tractable, the CPAM capability is broken into the following six technical 'themes.' These themes represent technical slices through the CPAM capability and collect critical core competencies of the Laboratory, each of which contributes to the capability (and each of which is divided into multiple additional elements in the detailed descriptions of the themes in subsequent sections), as follows. Theme 1: Computational Fluid Dynamics - This theme speaks to the vast array of scientific capabilities for the simulation of fluids under shocks, low-speed flow, and turbulent conditions - which are key, historical, and fundamental strengths of the Laboratory. Theme 2: Partial Differential Equations - The technical scope of this theme is the applied mathematics and numerical solution of partial
Kirschner, Denise E.; Linderman, Jennifer J.
2009-01-01
SUMMARY In addition to traditional and novel experimental approaches to study host-pathogen interactions, mathematical and computer modeling has recently been applied to address open questions in this area. These modeling tools not only offer an additional avenue for exploring disease dynamics at multiple biological scales, but also complement and extend knowledge gained via experimental tools. In this review, we outline four examples where modeling has complemented current experimental techniques in a way that can or has already pushed our knowledge of host-pathogen dynamics forward. Two of the modeling approaches presented go hand-in-hand with articles in this issue exploring FRET and two-photon intra-vital microscopy. Two others explore virtual or “in silico” deletion and depletion as well as a new method to understand and guide studies in genetic epidemiology. In each of these examples, the complementary nature of modeling and experiment is discussed. We further note that multi-scale modeling may allow us to integrate information across length (molecular, cellular, tissue, organism, population) and time (e.g. seconds to lifetimes). In sum, when combined, these compatible approaches offer new opportunities for understanding host-pathogen interactions. PMID:19134115
Yang, Anxiong; Stingl, Michael; Berry, David A.; Lohscheller, Jörg; Voigt, Daniel; Eysholdt, Ulrich; Döllinger, Michael
2011-01-01
With the use of an endoscopic, high-speed camera, vocal fold dynamics may be observed clinically during phonation. However, observation and subjective judgment alone may be insufficient for clinical diagnosis and documentation of improved vocal function, especially when the laryngeal disease lacks any clear morphological presentation. In this study, biomechanical parameters of the vocal folds are computed by adjusting the corresponding parameters of a three-dimensional model until the dynamics of both systems are similar. First, a mathematical optimization method is presented. Next, model parameters (such as pressure, tension and masses) are adjusted to reproduce vocal fold dynamics, and the deduced parameters are physiologically interpreted. Various combinations of global and local optimization techniques are attempted. Evaluation of the optimization procedure is performed using 50 synthetically generated data sets. The results show sufficient reliability, including 0.07 normalized error, 96% correlation, and 91% accuracy. The technique is also demonstrated on data from human hemilarynx experiments, in which a low normalized error (0.16) and high correlation (84%) values were achieved. In the future, this technique may be applied to clinical high-speed images, yielding objective measures with which to document improved vocal function of patients with voice disorders. PMID:21877808
Kirschner, Denise E; Linderman, Jennifer J
2009-04-01
In addition to traditional and novel experimental approaches to study host-pathogen interactions, mathematical and computer modelling have recently been applied to address open questions in this area. These modelling tools not only offer an additional avenue for exploring disease dynamics at multiple biological scales, but also complement and extend knowledge gained via experimental tools. In this review, we outline four examples where modelling has complemented current experimental techniques in a way that can or has already pushed our knowledge of host-pathogen dynamics forward. Two of the modelling approaches presented go hand in hand with articles in this issue exploring fluorescence resonance energy transfer and two-photon intravital microscopy. Two others explore virtual or 'in silico' deletion and depletion as well as a new method to understand and guide studies in genetic epidemiology. In each of these examples, the complementary nature of modelling and experiment is discussed. We further note that multi-scale modelling may allow us to integrate information across length (molecular, cellular, tissue, organism, population) and time (e.g. seconds to lifetimes). In sum, when combined, these compatible approaches offer new opportunities for understanding host-pathogen interactions.
NASA Technical Reports Server (NTRS)
Albright, N.; Concus, P.; Karasalo, I.
1977-01-01
Of principal interest is the stability of a perfectly wetting liquid in an inverted, vertical, right circular-cylindrical container having a concave spheroidal bottom. The mathematical conditions that the contained liquid be in stable static equilibrium are derived, including those for the limiting case of zero contact angle. Based on these results, a computational investigation is carried out for a particular container that is used for the storage of liquid fuels in NASA Centaur space vehicles, for which the axial ratio of the container bottom is 0.724. It is found that for perfectly wetting liquids the qualitative nature of the onset of instability changes at a critical liquid volume, which for the Centaur fuel tank corresponds to a mean fill level of approximately 0.503 times the tank's radius. Small-amplitude periodic sloshing modes for this tank were calculated; oscillation frequencies or growth rates are given for several Bond numbers and liquid volumes, for normal modes having up to six angular nodes.
ERIC Educational Resources Information Center
Hennes, James D.; And Others
In recent years the graduation requirements in mathematics and science have increased in response to state and national goals calling for increased competency by U.S. graduates in those areas. Data on course enrollment in science, mathematics, and computer science in grades 7-12 were collected from 89 percent of the schools in Colorado in October,…
1992-07-24
opportunity to see "mathematics at work" in every day life through films , videos. etc. and to visit the workplace of and to interact directly with...the tours, students viewed video tapes and a film , and discussed career opportunities in mathematics-based fields. The students viewed the video...Solve It." The students also viewed the film "Donald in Mathemagic Land" which shows how mathematics grows from simple ideas. This component also
Yuan, Jing-Ping; Chen, Chuang; Sun, Sheng-Rong; Hu, Ming-Bai; Liu, Juan; Li, Yan
2013-01-01
Background 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. Methods 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. Results 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 <0.5 in ROC analysis were combined into integrated parameter 1 and integrated parameter 2, respectively. Multivariate analysis showed that integrated parameter 1 (P = 0.040) was independent prognostic factor of patients' 5-year disease free survival. The hazard risk ratio of integrated parameter 1 was 1.454 (HR 95% CI [1.017–2.078]), higher than that of N stage (HR 1.396, 95% CI [1.125–1.733]) and hormone receptor status (HR 0.575, 95% CI [0.353–0.936]), but lower than that of histological grading (HR 3.370, 95% CI [1.125–5.364]) and T stage (HR 1.610, 95% CI [1.026 –2.527]). Conclusions This study indicated integrated parameter 1 of mathematical features (number, circularity and total perimeter) of tumor nests could be a useful parameter to predict the prognosis
Polyhedral Sculpture: The Path from Computational Artifact to Real-World Mathematical Object.
ERIC Educational Resources Information Center
Eisenberg, Michael; Nishioka, Ann
Mathematics educators often despair at math's austere, "abstract" reputation. This paper describes recent work in developing an application named "HyperGami," which is designed to integrate both the abstract and"real-world" aspects of mathematics by allowing children to design and construct polyhedral models and…
My Entirely Plausible Fantasy: Early Mathematics Education in the Age of the Touchscreen Computer
ERIC Educational Resources Information Center
Ginsburg, Herbert P.
2014-01-01
This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…
ERIC Educational Resources Information Center
Clarke, Pier Junor
2009-01-01
This article presents a case study of one pre-service secondary school mathematics (PSSM) teacher taken from a larger study within an English-speaking Caribbean context. The major goal of the larger study was to investigate the experiences and perceptions of the PSSM teachers as they explored the graphing calculator and mathematics software in…
ERIC Educational Resources Information Center
Clarke, Pier Junor
2009-01-01
This article presents a case study of one pre-service secondary school mathematics (PSSM) teacher taken from a larger study within an English-speaking Caribbean context. The major goal of the larger study was to investigate the experiences and perceptions of the PSSM teachers as they explored the graphing calculator and mathematics software in…
My Entirely Plausible Fantasy: Early Mathematics Education in the Age of the Touchscreen Computer
ERIC Educational Resources Information Center
Ginsburg, Herbert P.
2014-01-01
This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…
2005-01-01
of Vivekananda Math, Ramakrishna Vivekananda Mission, Barrackpore, North 24 Parganas, West Bengal, India. 18 v. Characterization of complex Ayurvedic ...medidnal products: A structural-cum- mathematical approach, at the J. B. Ray Ayurvedic College, Kolkata, India. vi. Use of mathematical structural
ERIC Educational Resources Information Center
Yang, Euphony F. Y.; Chang, Ben; Cheng, Hercy N. H.; Chan, Tak-Wai
2016-01-01
This study examined how to foster pupils' mathematical communication abilities by using tablet PCs. Students were encouraged to generate math creations (including mathematical representation, solution, and solution explanation of word problems) as their teaching materials and reciprocally tutor classmates to increase opportunities for mathematical…
ERIC Educational Resources Information Center
Yang, Euphony F. Y.; Chang, Ben; Cheng, Hercy N. H.; Chan, Tak-Wai
2016-01-01
This study examined how to foster pupils' mathematical communication abilities by using tablet PCs. Students were encouraged to generate math creations (including mathematical representation, solution, and solution explanation of word problems) as their teaching materials and reciprocally tutor classmates to increase opportunities for mathematical…
ERIC Educational Resources Information Center
Exner, Robert; And Others
The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…
Coordinating Formal and Informal Aspects of Mathematics in a Computer Based Learning Environment
ERIC Educational Resources Information Center
Skouras, A. S.
2006-01-01
The introduction of educational technology to school classes promises--through the students' active engagement with mathematical concepts--the creation of teaching and learning opportunities in mathematics. However, the way technological tools are used in the teaching practice as a means of human thought and action remains an unsettled matter as…
The Influence of Computer-Assisted Instruction on Eighth Grade Mathematics Achievement
ERIC Educational Resources Information Center
Tienken, Christopher H.; Maher, James A.
2008-01-01
The issue of lower than expected mathematics achievement is a concern to education leaders and policymakers at all levels of the U.S. PK-12 education system. The purpose of this quantitative, quasi-experimental study was to determine if there was a measurable difference in achievement on the mathematics section of the state test for students (n =…
Computer simulation of local anesthetic effects using a mathematical model of myelinated nerve.
Condouris, G A; Goebel, R H; Brady, T
1976-03-01
A mathematical model of myelinated axon was programmed for digital computer solution of the consequences of the conduction characteristics when the model membrane was affected by local anesthetics simulated by alteration of the ionic conductance parameter. The effects of tetrodotoxin on impulse conduction were studied in detail by means of a systematic reduction in sodium conductance in 1 to 10 nodes of Ranvier. Rhis technique simulates the method used experimentally and clinically to achieve a conduction block with the circumscribed application of local anesthetics to segments of nerve axons or nerve trunks. The analysis of the tetrodotoxin "dose-response" relationships revealed the fact that the model myelinated axon could support three types of conduction when depressed by this drug. One type of conduction of a subnormal impulse at the nodes of Ranvier; a second is characterized by a form of decremental conduction in which the rate of decrement of the nodal impulse is linear with distance. The third type is a second form of decremental conduction which is exponential in configuration and is seen when the g(Na) at the nodes of Ranvier is reduced to less than 27% of normal. Parallel experiments were performed to simulate the effects of lidocaine and some significant differences were observed. Analysis of the action potentials within the internodel region suggests that, although immune to drug action in the model, the internodal segment affects the generation of action potentials at the nodes. A commentary is presented on the limitations of the model as it reflects known pharmacologic relationships in real myelinated axons.
Tennant, Marc; Kruger, Estie
2013-02-01
This study developed a Monte Carlo simulation approach to examining the prevalence and incidence of dental decay using Australian children as a test environment. Monte Carlo simulation has been used for a half a century in particle physics (and elsewhere); put simply, it is the probability for various population-level outcomes seeded randomly to drive the production of individual level data. A total of five runs of the simulation model for all 275,000 12-year-olds in Australia were completed based on 2005-2006 data. Measured on average decayed/missing/filled teeth (DMFT) and DMFT of highest 10% of sample (Sic10) the runs did not differ from each other by more than 2% and the outcome was within 5% of the reported sampled population data. The simulations rested on the population probabilities that are known to be strongly linked to dental decay, namely, socio-economic status and Indigenous heritage. Testing the simulated population found DMFT of all cases where DMFT<>0 was 2.3 (n = 128,609) and DMFT for Indigenous cases only was 1.9 (n = 13,749). In the simulation population the Sic25 was 3.3 (n = 68,750). Monte Carlo simulations were created in particle physics as a computational mathematical approach to unknown individual-level effects by resting a simulation on known population-level probabilities. In this study a Monte Carlo simulation approach to childhood dental decay was built, tested and validated.
Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple
Gholami, Asghar; Baradaran-Ghahfarokhi, Molood; Ebrahimi, Marjan; Baradaran-Ghahfarokhi, Milad
2013-01-01
In recent years, interest in medical application of lasers especially as a surgical alternative is considerably increasing due to their distinct advantages such as non-contact intervention, bacteriostasis, less traumatization, minimal invasiveness, decreased bleeding and less heat damage. The present study aimed to evaluate the temperature changes and the consequent released thermal stress in cortical bone caused by an Erbium:yttrium aluminum garnet (Er:YAG) laser (Fideliss 320A, Fotona Inc., Deggingen, Germany) during osteotomy, using mathematical computation by means of Maple software, version 9.5 (Maplesoft, a division of Waterloo Maple Inc., Canada). The results obtained here were compared with the experimental measurements using Er:YAG laser in the osteotomy clinics. A bone slab with thickness of 1 mm was simulated in Maple software. Then, an Er:YAG laser emitting 100 μs pulses at a wavelength of 2940 nm were modeled. Two different clinical settings of the Er:YAG laser with 200 mJ and 400 mJ energies, both with 100 μs exposure and 500 μs silence were studied. To investigate the temperature distribution in the cortical bone, the time-dependent heat conduction equations were defined and solved in the Maple software. Finally, by defining the heat distribution function in the Maple, thermal stress in the bone was investigated. Results of the computations showed that, on the bone irradiated area (center of the bone surface) the maximum temperature rise was 0.8°C and 1.6°C, for 200 mJ and 400 mJ Er:YAG laser exposure, respectively. The temperature rise reached to its minimum at radial distances of 1.2 cm from the point of irradiated area for 200 mJ laser while it was 1.5 cm for 400 mJ laser. For 200 mJ laser the maximum derived radial (σrr), axial (σzz) and azimuthally (σθθ) stress components were 0.20, 0.16 and 0.08 MPa, respectively. While, for 400 mJ laser the maximum derived σrr, σzz and σθθ stress components were 0.39, 0.31 and 0.16 MPa
Computation and graphics in mathematical research. Progress report, June 1, 1991--May 31, 1992
Hoffman, D.A.; Spruck, J.
1992-08-13
This report discusses: The description of the GANG Project and results for prior research; the center for geometry, analysis, numerics and graphics; description of GANG Laboratory; software development at GANG; and mathematical and scientific research activities.
ERIC Educational Resources Information Center
Kansky, Bob
The Technology Advisory Committee of the National Council of Teachers of Mathematics recently conducted a survey to assess the status of state-level policies affecting the use of calculators and computers in the teaching of mathematics in grades K-12. The committee determined that state-level actions related to the increased availability of…
ERIC Educational Resources Information Center
Cai, Jinfa
1995-01-01
This document is 7th in the Journal for Research in Mathematics Education monograph series. The mathematical performance of (n=250) U.S. 6th-grade students from both private and public schools and (n=425) Chinese 6th-graders from both key and common schools was examined on multiple-choice tasks assessing computation and simple problem solving, and…
ERIC Educational Resources Information Center
Schalago-Schirm, Cynthia
Eighth-grade students in New Jersey take the Early Warning Test (EWT), which involves reading, writing, and mathematics. Students with EWT scores below the state level of competency take a remedial mathematics course that provides students with computer-assisted instruction (2 days per week) as well as regular classroom instruction (3 days per…
NASA Astrophysics Data System (ADS)
Vecchiato, A.; Gai, M.; Lattanzi, M. G.; Crosta, M.; Becciani, U.; Bertone, S.
2014-03-01
We review the mathematical models available for relativistic astrometry, discussing the different approaches and their accuracies in the context of the modern experiments from space like Gaia and GAME, and we show how these models can be applied to the real world, and their consequences from the mathematical and numerical point of view, with specific reference to the case of Gaia, whose launch is due before the end of the year.
An Application of Programming and Mathematics: Writing a Computer Graphing Program.
ERIC Educational Resources Information Center
Waits, Bert; Demana, Franklin
1988-01-01
Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)
NASA Astrophysics Data System (ADS)
Liu, X.
2013-12-01
The talk will showcase some modeling work for hydrological and hydraulics problems using the open source computational physics platform OpenFOAM. It has been about ten years since OpenFOAM entered the public domain. The user base has grown tremendously evidenced by the active online community and the increasing publications. This platform is essentially a computational toolbox which solves mathematical models (partial differential equations, PDEs) using finite volume method. OpenFOAM solves the PDEs in an automatic fashion and yet provides sufficient user controls on almost all aspects of the numerics, for example discretization schemes. Parallel computation based on domain decomposition is also automatic since the mechanism is built into the lower level of the code structure. Upper level users do not need to know the details. It liberates the researchers from the burden of extensive computer coding and makes it possible for them to focus on the physics. From the abstraction of physical processes to mathematical models, and to implement them in OpenFOAM and see the results, a proficient user probably only needs several hours. Our research group has used it for a variety of applications, including porous media flows, river hydraulics, sedimentation, buoyant plumes, etc. Examples will be shown.
Improved mathematical and computational tools for modeling photon propagation in tissue
NASA Astrophysics Data System (ADS)
Calabro, Katherine Weaver
Light interacts with biological tissue through two predominant mechanisms: scattering and absorption, which are sensitive to the size and density of cellular organelles, and to biochemical composition (ex. hemoglobin), respectively. During the progression of disease, tissues undergo a predictable set of changes in cell morphology and vascularization, which directly affect their scattering and absorption properties. Hence, quantification of these optical property differences can be used to identify the physiological biomarkers of disease with interest often focused on cancer. Diffuse reflectance spectroscopy is a diagnostic tool, wherein broadband visible light is transmitted through a fiber optic probe into a turbid medium, and after propagating through the sample, a fraction of the light is collected at the surface as reflectance. The measured reflectance spectrum can be analyzed with appropriate mathematical models to extract the optical properties of the tissue, and from these, a set of physiological properties. A number of models have been developed for this purpose using a variety of approaches -- from diffusion theory, to computational simulations, and empirical observations. However, these models are generally limited to narrow ranges of tissue and probe geometries. In this thesis, reflectance models were developed for a much wider range of measurement parameters, and influences such as the scattering phase function and probe design were investigated rigorously for the first time. The results provide a comprehensive understanding of the factors that influence reflectance, with novel insights that, in some cases, challenge current assumptions in the field. An improved Monte Carlo simulation program, designed to run on a graphics processing unit (GPU), was built to simulate the data used in the development of the reflectance models. Rigorous error analysis was performed to identify how inaccuracies in modeling assumptions can be expected to affect the accuracy
Kuhn, Jörg-Tobias; Holling, Heinz
2014-01-01
Research on the improvement of elementary school mathematics has shown that computer-based training of number sense (e.g., processing magnitudes or locating numbers on the number line) can lead to substantial achievement gains in arithmetic skills. Recent studies, however, have highlighted that training domain-general cognitive abilities (e.g., working memory [WM]) may also improve mathematical achievement. This study addressed the question of whether a training of domain-specific number sense skills or domain-general WM abilities is more appropriate for improving mathematical abilities in elementary school. Fifty-nine children (M age = 9 years, 32 girls and 27 boys) received either a computer-based, adaptive training of number sense (n = 20), WM skills (n = 19), or served as a control group (n = 20). The training duration was 20 min per day for 15 days. Before and after training, we measured mathematical ability using a curriculum-based math test, as well as spatial WM. For both training groups, we observed substantial increases in the math posttest compared to the control group (d = .54 for number sense skills training, d = .57 for WM training, respectively). Whereas the number sense group showed significant gains in arithmetical skills, the WM training group exhibited marginally significant gains in word problem solving. However, no training group showed significant posttest gains on the spatial WM task. Results indicate that a short training of either domain-specific or domain-general skills may result in reliable short-term training gains in math performance, although no stable training effects were found in the spatial WM task.
Experimental Mathematics and Mathematical Physics
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim
2009-06-26
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.
ERIC Educational Resources Information Center
McCammon, Richard B.
1979-01-01
The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)
ERIC Educational Resources Information Center
Van Eck, Richard
2006-01-01
Many students enter mathematics courses with a poor attitude toward mathematics (Gal & Ginsburg, 1994), making attitude as important a consideration as achievement in mathematics (Cognition and Technology Group at Vanderbilt (CTGV), 1992; Marsh, Cairns, Relich, Barnes, & Debus, 1984; Sedighian & Sedighian, 1996). Pedagogical agents are often…
ERIC Educational Resources Information Center
Vogel, Freydis; Kollar, Ingo; Ufer, Stefan; Reichersdorfer, Elisabeth; Reiss, Kristina; Fischer, Frank
2016-01-01
Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen's mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other's…
ERIC Educational Resources Information Center
Bakker, Marjoke; van den Heuvel-Panhuizen, Marja; Robitzsch, Alexander
2016-01-01
This study examined the effects of a teacher-delivered intervention with online mathematics mini-games on special education students' multiplicative reasoning ability (multiplication and division). The games involved declarative, procedural, as well as conceptual knowledge of multiplicative relations, and were accompanied with teacher-led lessons…
A Constructivist Computational Platform to Support Mathematics Education in Elementary School
ERIC Educational Resources Information Center
Garcia, I.; Pacheco, C.
2013-01-01
Many courses for elementary school are based upon teacher presentation and explanation of basic topics, rather than allowing students to develop their own knowledge. This traditional model may turn elementary-level lessons into an extremely theoretical, boring and non-effective process. In this context, research in mathematics elementary education…
ERIC Educational Resources Information Center
Piburn, Michael D.; Middleton, James A.
Teacher Education for Arizona Mathematics and Science (TEAMS) is a technology-based program for preparing scientists and mathematicians for a career in middle school teaching. The metaphor of "reflective practitioner" guided the design and delivery of this program. Students did not respond well to journal keeping and many failed to…
Learning Mathematics with Interactive Whiteboards and Computer-Based Graphing Utility
ERIC Educational Resources Information Center
Erbas, Ayhan Kursat; Ince, Muge; Kaya, Sukru
2015-01-01
The purpose of this study was to explore the effect of a technology-supported learning environment utilizing an interactive whiteboard (IWB) and NuCalc graphing software compared to a traditional direct instruction-based environment on student achievement in graphs of quadratic functions and attitudes towards mathematics and technology. Sixty-five…
Computer-Aided Assessment Questions in Engineering Mathematics Using "MapleTA"[R
ERIC Educational Resources Information Center
Jones, I. S.
2008-01-01
The use of "MapleTA"[R] in the assessment of engineering mathematics at Liverpool John Moores University (JMU) is discussed with particular reference to the design of questions. Key aspects in the formulation and coding of questions are considered. Problems associated with the submission of symbolic answers, the use of randomly generated numbers…
ERIC Educational Resources Information Center
Lee, Chun-Yi; Chen, Ming-Puu
2008-01-01
In many mathematical problems, students can feel that the universality of a conjecture or a formula is validated by their experiment and experience. In contrast, students generally do not feel that deductive explanations strengthen their conviction that a conjecture or a formula is true. In order to cope up with students' conviction based only on…
Peer-Led Team Learning in Mathematics Courses for Freshmen Engineering and Computer Science Students
ERIC Educational Resources Information Center
Reisel, John R.; Jablonski, Marissa R.; Munson, Ethan; Hosseini, Hossein
2014-01-01
Peer-led Team Learning (PLTL) is an instructional method reported to increase student learning in STEM courses. As mathematics is a significant hurdle for many freshmen engineering students, a PLTL program was implemented for students to attempt to improve their course performance. Here, an analysis of PLTL for freshmen engineering students in…
Learning Mathematics with Interactive Whiteboards and Computer-Based Graphing Utility
ERIC Educational Resources Information Center
Erbas, Ayhan Kursat; Ince, Muge; Kaya, Sukru
2015-01-01
The purpose of this study was to explore the effect of a technology-supported learning environment utilizing an interactive whiteboard (IWB) and NuCalc graphing software compared to a traditional direct instruction-based environment on student achievement in graphs of quadratic functions and attitudes towards mathematics and technology. Sixty-five…
ERIC Educational Resources Information Center
Beardslee, Edward C.; Jerman, Max E.
Five structural, four linguistic and twelve topic variables are used in regression analyses on results of a 50-item achievement test. The test items are related to 12 topics from the third-grade mathematics curriculum. The items reflect one of two cases of the structural variable, cognitive level; the two levels are characterized, inductive…
ERIC Educational Resources Information Center
Bakker, Marjoke; van den Heuvel-Panhuizen, Marja; Robitzsch, Alexander
2016-01-01
This study examined the effects of a teacher-delivered intervention with online mathematics mini-games on special education students' multiplicative reasoning ability (multiplication and division). The games involved declarative, procedural, as well as conceptual knowledge of multiplicative relations, and were accompanied with teacher-led lessons…
ERIC Educational Resources Information Center
Lee, Chun-Yi; Chen, Ming-Puu
2008-01-01
In many mathematical problems, students can feel that the universality of a conjecture or a formula is validated by their experiment and experience. In contrast, students generally do not feel that deductive explanations strengthen their conviction that a conjecture or a formula is true. In order to cope up with students' conviction based only on…
ERIC Educational Resources Information Center
Salminen, Jonna; Koponen, Tuire; Räsänen, Pekka; Aro, Mikko
2015-01-01
Weaknesses in early number skills have been found to be a risk factor for later difficulties in mathematical performance. Nevertheless, only a few intervention studies with young children have been published. In this study, the responsiveness to early support in kindergarteners with most severe difficulties was examined with two different computer…
Peer-Led Team Learning in Mathematics Courses for Freshmen Engineering and Computer Science Students
ERIC Educational Resources Information Center
Reisel, John R.; Jablonski, Marissa R.; Munson, Ethan; Hosseini, Hossein
2014-01-01
Peer-led Team Learning (PLTL) is an instructional method reported to increase student learning in STEM courses. As mathematics is a significant hurdle for many freshmen engineering students, a PLTL program was implemented for students to attempt to improve their course performance. Here, an analysis of PLTL for freshmen engineering students in…
Computation, Exploration, Visualisation: Reaction to MATLAB in First-Year Mathematics.
ERIC Educational Resources Information Center
Cretchley, Patricia; Harman, Chris; Ellerton, Nerida; Fogarty, Gerard
This paper describes a model for effective incorporation of technology into the learning experience of a large and diverse group of students in first-semester first-year tertiary mathematics. It describes the introduction of elementary use of MATLAB, in a course offered both on-campus and at a distance. The diversity of the student group is…
Effects of Computer-Based Visual Representation on Mathematics Learning and Cognitive Load
ERIC Educational Resources Information Center
Yung, Hsin I.; Paas, Fred
2015-01-01
Visual representation has been recognized as a powerful learning tool in many learning domains. Based on the assumption that visual representations can support deeper understanding, we examined the effects of visual representations on learning performance and cognitive load in the domain of mathematics. An experimental condition with visual…
Effects of Computer-Based Visual Representation on Mathematics Learning and Cognitive Load
ERIC Educational Resources Information Center
Yung, Hsin I.; Paas, Fred
2015-01-01
Visual representation has been recognized as a powerful learning tool in many learning domains. Based on the assumption that visual representations can support deeper understanding, we examined the effects of visual representations on learning performance and cognitive load in the domain of mathematics. An experimental condition with visual…
A Constructivist Computational Platform to Support Mathematics Education in Elementary School
ERIC Educational Resources Information Center
Garcia, I.; Pacheco, C.
2013-01-01
Many courses for elementary school are based upon teacher presentation and explanation of basic topics, rather than allowing students to develop their own knowledge. This traditional model may turn elementary-level lessons into an extremely theoretical, boring and non-effective process. In this context, research in mathematics elementary education…
ERIC Educational Resources Information Center
Vogel, Freydis; Kollar, Ingo; Ufer, Stefan; Reichersdorfer, Elisabeth; Reiss, Kristina; Fischer, Frank
2016-01-01
Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen's mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other's…
NASA Technical Reports Server (NTRS)
Wong, K. W.
1974-01-01
In lunar phototriangulation, there is a complete lack of accurate ground control points. The accuracy analysis of the results of lunar phototriangulation must, therefore, be completely dependent on statistical procedure. It was the objective of this investigation to examine the validity of the commonly used statistical procedures, and to develop both mathematical techniques and computer softwares for evaluating (1) the accuracy of lunar phototriangulation; (2) the contribution of the different types of photo support data on the accuracy of lunar phototriangulation; (3) accuracy of absolute orientation as a function of the accuracy and distribution of both the ground and model points; and (4) the relative slope accuracy between any triangulated pass points.
Towards a Framework for Making Effective Computational Choices: A "Very Big Idea" of Mathematics
ERIC Educational Resources Information Center
Hurst, Chris
2016-01-01
It is important for students to make informed decisions about computation. This article highlights this importance and develops a framework which may assist teachers to help students to make effective computational choices.
Towards a Framework for Making Effective Computational Choices: A "Very Big Idea" of Mathematics
ERIC Educational Resources Information Center
Hurst, Chris
2016-01-01
It is important for students to make informed decisions about computation. This article highlights this importance and develops a framework which may assist teachers to help students to make effective computational choices.
Summary of research in applied mathematics, numerical analysis, and computer sciences
NASA Technical Reports Server (NTRS)
1986-01-01
The major categories of current ICASE research programs addressed include: numerical methods, with particular emphasis on the development and analysis of basic numerical algorithms; control and parameter identification problems, with emphasis on effective numerical methods; computational problems in engineering and physical sciences, particularly fluid dynamics, acoustics, and structural analysis; and computer systems and software, especially vector and parallel computers.
"Hole-in-the-Wall" Computer Kiosks Foster Mathematics Achievement--A Comparative Study
ERIC Educational Resources Information Center
Inamdar, Parimala; Kulkarni, Arun
2007-01-01
Earlier work at unsupervised playground computer kiosks in rural India, popularly called "hole-in-the-wall", showed that children exposed to these kiosks learn to use computers on their own and that they are able to clear school examinations in computer science, without any classroom teaching for it. Extending this, our recent research…
"Hole-in-the-Wall" Computer Kiosks Foster Mathematics Achievement--A Comparative Study
ERIC Educational Resources Information Center
Inamdar, Parimala; Kulkarni, Arun
2007-01-01
Earlier work at unsupervised playground computer kiosks in rural India, popularly called "hole-in-the-wall", showed that children exposed to these kiosks learn to use computers on their own and that they are able to clear school examinations in computer science, without any classroom teaching for it. Extending this, our recent research…
2006-02-01
International Journal of Computational Methods for...Fluids, in review. "* V. Prabhakar and J. N. Reddy, "Orthogonality of Modal Bases," International Journal of Computational Methods for Fluids...Least-Squares Finite Element Model for Incompressible Navier-Stokes Equations," International Journal of Computational Methods for Fluids, in review.
Silbar, R.R.
1998-09-28
WhistleSoft, Inc., proposed to convert a successful pedagogical experiment into multimedia software, making it accessible to a much broader audience. A colleague, Richard J. Jacob, has been teaching a workshop course in mathematical methods at Arizona State University (ASU) for lower undergraduate science majors. Students work at their own pace through paper-based tutorials containing many exercises, either with pencil and paper or with computer tools such as spreadsheets. These tutorial modules cry out for conversion into an interactive computer-based tutorial course that is suitable both for the classroom and for self-paced, independent learning. WhistleSoft has made a prototype of one such module, Legendre Polynomials, under Subcontract (No F97440018-35) with the Los Alamos Laboratory`s Technology Commercialization Office for demonstration and marketing purposes.
Not Available
1990-12-01
The issue of global warming and related climatic changes from increasing concentrations of greenhouse gases in the atmosphere has received prominent attention during the past few years. The Computer Hardware, Advanced Mathematics, and Model Physics (CHAMMP) Climate Modeling Program is designed to contribute directly to this rapid improvement. The goal of the CHAMMP Climate Modeling Program is to develop, verify, and apply a new generation of climate models within a coordinated framework that incorporates the best available scientific and numerical approaches to represent physical, biogeochemical, and ecological processes, that fully utilizes the hardware and software capabilities of new computer architectures, that probes the limits of climate predictability, and finally that can be used to address the challenging problem of understanding the greenhouse climate issue through the ability of the models to simulate time-dependent climatic changes over extended times and with regional resolution.
The Fractal Geometry of Nature; Its Mathematical Basis and Application to Computer Graphics
1986-01-01
matematical cotstructr3. It was first popularized by complex renderings of terrain onl a conputer graphic.ý. medium. Fractal geometry has since...geometry has not yet been realized. In the final analysis , we expect that even the skeptical reader will discover the mathematical beauty and...Sinto 10,1] preserves the distribution from the original range ([0,231 - 1]). Analysis of the normalized uniform random numbers S0.0 0.1 = 52 0.1
2012-08-20
Leonid V. Kalachev, Ph.D. (University of Montana, not supported on grant) Daniel J. Mollicone, Ph.D. ( Pulsar Informatics, Inc., not supported on grant...project to Pulsar Informatics, Inc., who are providing an implementation suitable for integration with crew rostering to the U.S. Navy (key...individuals involved: Daniel Mollicone, Ph.D. and Mike Stubna, Ph.D. of Pulsar Informatics, Inc.). We transitioned a numerical library for the mathematical
ERIC Educational Resources Information Center
Soliman, Mamdouh M.; Hilal, Ahmed J.
2016-01-01
This study evaluates the effectiveness of Computer-Assisted Instruction (CAI) compared with traditional classroom instruction of mathematics of seventh graders in Kuwait's public schools. We aimed to compare students learning outcomes between two groups: the control group, taught traditionally without the use of computers, and the experimental…
ERIC Educational Resources Information Center
Seo, You-Jin; Woo, Honguk
2010-01-01
Critical user interface design features of computer-assisted instruction programs in mathematics for students with learning disabilities and corresponding implementation guidelines were identified in this study. Based on the identified features and guidelines, a multimedia computer-assisted instruction program, "Math Explorer", which delivers…
ERIC Educational Resources Information Center
Seo, You-Jin; Woo, Honguk
2010-01-01
Critical user interface design features of computer-assisted instruction programs in mathematics for students with learning disabilities and corresponding implementation guidelines were identified in this study. Based on the identified features and guidelines, a multimedia computer-assisted instruction program, "Math Explorer", which delivers…
ERIC Educational Resources Information Center
Soliman, Mamdouh M.; Hilal, Ahmed J.
2016-01-01
This study evaluates the effectiveness of Computer-Assisted Instruction (CAI) compared with traditional classroom instruction of mathematics of seventh graders in Kuwait's public schools. We aimed to compare students learning outcomes between two groups: the control group, taught traditionally without the use of computers, and the experimental…
NASA Astrophysics Data System (ADS)
Sokolova, Elena A.; Reyes Cortes, Santiago D.
1997-02-01
The latest advances in the field of holographic gratings and spectral devices is in calculation, manufacture and use of these gratings for spectral devices. The general theory of diffraction grating was developed in 1974. Although this theory is in wide use, not all the problems associated with the theory have been resolved. Theoretical calculations show that this is possible using a more complicated mounting of recording the grating. For recording of the grating with the compensation of the four aberrations it is necessary to use beams from opposite sides of the blanks. To examine this method special mathematical model was found. It is based on the ray tracing calculation, but includes two steps recording and the refraction in the glass blank. In this work we represent a system of nonhomocentric recording, which doesn't include aspheric or refractive optics, mathematical model of this system, spectral devices, which can be produced with the gratings, recorded in our system and the results of the mathematical model experiments with concrete examples of those devices.
Chang, Jiang; Zhang, Jie; Wang, Hou-Yu; Fan, Liu-Yin; Fan, Yin-Ping; Li, Shan; Cao, Cheng-Xi
2013-01-15
In this paper, a mathematical model and computer simulator were developed for offline sample pretreatment of heavy metal ion based on moving precipitate boundary (MPB) electrophoresis. The simulation indicates that (i) the program can easily accomplish numerical computations, such as the velocities of MPB and elution boundary (EB), and enrichment factor (EF) etc; (ii) the simulator can vividly imitate the dynamics of MPB, EB, precipitate zone, and precipitate-elution; and (iii) the software may simply optimized experimental conditions via the influence factors (e.g., voltage, hydroxyl, hydrogen and metal ions) on the EF. As a proof of concept, copper ion and its precipitate with definite blue color were, respectively chosen as mode heavy metal ion and alkaline precipitate for the relevant experiments of MPB-based sample preconcentration of heavy metal ion in large tube. All of the experimental results manifest the validity of developed mathematical model and the relevant simulation results. The model and simulator advanced herein are of clear significance to the optimization of experimental conditions and understanding of offline MPB- based sample condensation of heavy metal ion.
Hoffman, D.A.; Spruck, J.
1993-06-01
Current research is described on: grain boundaries and dislocations in compound polymers, boundary value problems for hypersurfaces constant Gaussian curvature, and discrete computational geometry. 19 refs, 4 figs.
A Dataset from TIMSS to Examine the Relationship between Computer Use and Mathematics Achievement
ERIC Educational Resources Information Center
Kadijevich, Djordje M.
2015-01-01
Because the relationship between computer use and achievement is still puzzling, there is a need to prepare and analyze good quality datasets on computer use and achievement. Such a dataset can be derived from TIMSS data. This paper describes how this dataset can be prepared. It also gives an example of how the dataset may be analyzed. The…
ERIC Educational Resources Information Center
Akkoç, Hatice
2015-01-01
This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and…
ERIC Educational Resources Information Center
RENO, MARTIN; AND OTHERS
A STUDY WAS UNDERTAKEN TO EXPLORE IN A QUALITATIVE WAY THE POSSIBLE UTILIZATION OF COMPUTER AND DATA PROCESSING METHODS IN HIGH SCHOOL EDUCATION. OBJECTIVES WERE--(1) TO ESTABLISH A WORKING RELATIONSHIP WITH A COMPUTER FACILITY SO THAT ABLE STUDENTS AND THEIR TEACHERS WOULD HAVE ACCESS TO THE FACILITIES, (2) TO DEVELOP A UNIT FOR THE UTILIZATION…
Orchestrating the XO Computer with Digital and Conventional Resources to Teach Mathematics
ERIC Educational Resources Information Center
Díaz, A.; Nussbaum, M.; Varela, I.
2015-01-01
Recent research has suggested that simply providing each child with a computer does not lead to an improvement in learning. Given that dozens of countries across the world are purchasing computers for their students, we ask which elements are necessary to improve learning when introducing digital resources into the classroom. Understood the…
ERIC Educational Resources Information Center
van Herwaarden, Onno A.; Gielen, Joseph L. W.
2002-01-01
Focuses on students showing a lack of conceptual insight while using computer algebra systems (CAS) in the setting of an elementary calculus and linear algebra course for first year university students in social sciences. The use of a computer algebra environment has been incorporated into a more traditional course but with special attention on…
A Dataset from TIMSS to Examine the Relationship between Computer Use and Mathematics Achievement
ERIC Educational Resources Information Center
Kadijevich, Djordje M.
2015-01-01
Because the relationship between computer use and achievement is still puzzling, there is a need to prepare and analyze good quality datasets on computer use and achievement. Such a dataset can be derived from TIMSS data. This paper describes how this dataset can be prepared. It also gives an example of how the dataset may be analyzed. The…
ERIC Educational Resources Information Center
van Herwaarden, Onno A.; Gielen, Joseph L. W.
2002-01-01
Focuses on students showing a lack of conceptual insight while using computer algebra systems (CAS) in the setting of an elementary calculus and linear algebra course for first year university students in social sciences. The use of a computer algebra environment has been incorporated into a more traditional course but with special attention on…
Orchestrating the XO Computer with Digital and Conventional Resources to Teach Mathematics
ERIC Educational Resources Information Center
Díaz, A.; Nussbaum, M.; Varela, I.
2015-01-01
Recent research has suggested that simply providing each child with a computer does not lead to an improvement in learning. Given that dozens of countries across the world are purchasing computers for their students, we ask which elements are necessary to improve learning when introducing digital resources into the classroom. Understood the…
Car-Buying. Computer Module for Use in a Mathematics Laboratory Setting.
ERIC Educational Resources Information Center
Hoffman, Irwin; And Others
This is one of a series of computer modules designed for use by secondary students who have access to a computer. The module, designed to help students understand all facets of car-buying, includes a statement of objectives, a time schedule, a list of materials, suggested evaluation procedures, an outline for each section, and several computer…
NASA Astrophysics Data System (ADS)
Tang, Baobao
Different positions of a material used for structures experience different stresses, sometimes at both extremes, when undergoing processing, manufacturing, and serving. Taking the three-point bending as an example, the plate experiences higher stress in the middle span area and lower stress in both sides of the plate. In order to ensure the performance and reduce the cost of the composite, placement of different composite material with different mechanical properties, i.e. selective reinforcement, is proposed. Very few study has been conducted on selective reinforcement. Therefore, basic understanding on the relationship between the selective reinforcing variables and the overall properties of composite material is still unclear and there is still no clear methodology to design composite materials under different types of loads. This study started from the analysis of composite laminate under three point bending test. From the mechanical analysis and simulation result of homogeneously reinforced composite materials, it is found that the stress is not evenly distributed on the plate based on through-thickness direction and longitudinal direction. Based on these results, a map for the stress distribution under three point bending was developed. Next, the composite plate was selectively designed using two types of configurations. Mathematical and finite element analysis (FEA) models were built based on these designs. Experimental data from tests of hybrid composite materials was used to verify the mathematical and FEA models. Analysis of the mathematical model indicates that the increase in stiffness of the material at the top and bottom surfaces and middle-span area is the most effective way to improve the flexural modulus in three point bending test. At the end of this study, a complete methodology to perform the selective design was developed.
Mathematical model and software complex for computer simulation of field emission electron sources
Nikiforov, Konstantin
2015-03-10
The software complex developed in MATLAB allows modelling of function of diode and triode structures based on field emission electron sources with complex sub-micron geometry, their volt-ampere characteristics, calculating distribution of electric field for educational and research needs. The goal of this paper is describing the physical-mathematical model, calculation methods and algorithms the software complex is based on, demonstrating the principles of its function and showing results of its work. For getting to know the complex, a demo version with graphical user interface is presented.
NASA Technical Reports Server (NTRS)
Mosher, R. A.; Palusinski, O. A.; Bier, M.
1982-01-01
A mathematical model has been developed which describes the steady state in an isoelectric focusing (IEF) system with ampholytes or monovalent buffers. The model is based on the fundamental equations describing the component dissociation equilibria, mass transport due to diffusion and electromigration, electroneutrality, and the conservation of charge. The validity and usefulness of the model has been confirmed by using it to formulate buffer systems in actual laboratory experiments. The model has been recently extended to include the evolution of transient states not only in IEF but also in other modes of electrophoresis.
NASA Astrophysics Data System (ADS)
Liang, Feng; Liu, Liren; Wang, Binquan; Wang, Zhijiang
1994-12-01
An alternative to the umbra definition on grey-scale mathematical morphology is proposed in this paper, which uses the top-surface set instead of the umbra to represent grey-scale structuring element. This algorithm greatly decreases the neighborhood connections for the binary morphological operation transformed from a grey-scale morphological operation. An optical incoherent correlator architecture with threshold device is developed to carry out the suggested algorithm, while a spatial digital coding method is used to represent input 3D binary data in a 2D arrangement. Experimental results are demonstrated too.
NASA Technical Reports Server (NTRS)
Johannsen, G.; Rouse, W. B.
1978-01-01
A hierarchy of human activities is derived by analyzing automobile driving in general terms. A structural description leads to a block diagram and a time-sharing computer analogy. The range of applicability of existing mathematical models is considered with respect to the hierarchy of human activities in actual complex tasks. Other mathematical tools so far not often applied to man machine systems are also discussed. The mathematical descriptions at least briefly considered here include utility, estimation, control, queueing, and fuzzy set theory as well as artificial intelligence techniques. Some thoughts are given as to how these methods might be integrated and how further work might be pursued.
ERIC Educational Resources Information Center
Karakis, Hilal; Karamete, Aysen; Okçu, Aydin
2016-01-01
This study examined the effects that computer-assisted instruction had on students' attitudes toward a mathematics lesson and toward learning mathematics with computer-assisted instruction. The computer software we used was based on the ASSURE Instructional Systems Design and the ARCS Model of Motivation, and the software was designed to teach…
Geldsetzer, Pascal; Fink, Günther; Vaikath, Maria; Bärnighausen, Till
2016-11-24
(1) To evaluate the operational efficiency of various sampling methods for patient exit interviews; (2) to discuss under what circumstances each method yields an unbiased sample; and (3) to propose a new, operationally efficient, and unbiased sampling method. Literature review, mathematical derivation, and Monte Carlo simulations. Our simulations show that in patient exit interviews it is most operationally efficient if the interviewer, after completing an interview, selects the next patient exiting the clinical consultation. We demonstrate mathematically that this method yields a biased sample: patients who spend a longer time with the clinician are overrepresented. This bias can be removed by selecting the next patient who enters, rather than exits, the consultation room. We show that this sampling method is operationally more efficient than alternative methods (systematic and simple random sampling) in most primary health care settings. Under the assumption that the order in which patients enter the consultation room is unrelated to the length of time spent with the clinician and the interviewer, selecting the next patient entering the consultation room tends to be the operationally most efficient unbiased sampling method for patient exit interviews. © 2016 The Authors. Health Services Research published by Wiley Periodicals, Inc. on behalf of Health Research and Educational Trust.
Adult Science Learners' Mathematical Mistakes: An Analysis of Responses to Computer-Marked Questions
ERIC Educational Resources Information Center
Jordan, Sally
2014-01-01
Inspection of thousands of student responses to computer-marked assessment questions has brought insight into the errors made by adult distance learners of science. Most of the questions analysed were in summative use and required students to construct their own response. Both of these things increased confidence in the reliability of the…
Developing Mathematical Reasoning through Games of Strategy Played against the Computer
ERIC Educational Resources Information Center
Houssart, Jenny; Sams, Claire
2008-01-01
This article examines 9-11 year olds' attempts to beat the computer at a game of strategy and asks how far and under what circumstances they developed a strategic approach to the game. Extracts from videotape transcripts are analysed to reveal the components of children's particular approaches, evident even amongst children who did not develop an…
ERIC Educational Resources Information Center
Abramovich, Sergei; Cho, Eun Kyeong
2009-01-01
The advent of computer technology in the classroom raised the issue of its appropriate use by teachers and their students alike. It has been recommended that teacher education programs provide more opportunities for teacher candidates' use of technology including teaching their own technology-enhanced lessons. With a goal of integrating…
ERIC Educational Resources Information Center
Holbrook, M. Cay; MacCuspie, P. Ann
2010-01-01
Braille-reading mathematicians, scientists, and computer scientists were asked to examine the usability of the Unified English Braille Code (UEB) for technical materials. They had little knowledge of the code prior to the study. The research included two reading tasks, a short tutorial about UEB, and a focus group. The results indicated that the…
ERIC Educational Resources Information Center
Meagher, Michael
2012-01-01
The research presented here is a group case study of students learning calculus in a Computer Algebra System (CAS) environment which examines the following research questions: What are students' perceptions of the role of technology in their learning? What is the students' relationship to CAS? What is the effect of learning in a CAS environment on…
An Experiment on Mathematics Pedagogy: Traditional Method versus Computer-Assisted Instruction
ERIC Educational Resources Information Center
Zhang, Yixin
2005-01-01
The purpose of this study was to determine the effectiveness of computer-assisted instruction (CAI) versus traditional lecture-type instruction on triangles. Two quasi experiments were conducted in six 6th grade classes with a total of 108 students respectively. The students in the control groups were taught the concepts of triangles in their…
ERIC Educational Resources Information Center
de Castro, Christopher H.
2011-01-01
This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…
2010-10-18
School Cybercampus ChicTech Tech Ambassadors Competition Arduino Project Lead the Way Pico Crickets™ Workshops MIT Media Lab , STEM Rays, UMASS...Computer Science Equity Alliance Way Arduino “Kids Ahead” SMU Caruth August 2010 14 , STEM Rays, UMASS US FIRST Robotics Competition Autonomous
Mathematical and Computational Framework for Virtual Fabrication Environment for Aircraft Components
2008-03-01
computational aspects of a knowledge base needed for the creation of a virtual fabrication environment for aircraft components manufactured from 7050 ...T7451 aluminum plate stock so that the incidence of re-working and scrapping of partially or fully manufactured parts can be substantially reduced.
ERIC Educational Resources Information Center
Holbrook, M. Cay; MacCuspie, P. Ann
2010-01-01
Braille-reading mathematicians, scientists, and computer scientists were asked to examine the usability of the Unified English Braille Code (UEB) for technical materials. They had little knowledge of the code prior to the study. The research included two reading tasks, a short tutorial about UEB, and a focus group. The results indicated that the…
ERIC Educational Resources Information Center
Meagher, Michael
2012-01-01
The research presented here is a group case study of students learning calculus in a Computer Algebra System (CAS) environment which examines the following research questions: What are students' perceptions of the role of technology in their learning? What is the students' relationship to CAS? What is the effect of learning in a CAS environment on…
ERIC Educational Resources Information Center
Foster, Thomas Edward
The purpose of the study was to investigate problem-solving performance with regard to non-routine problem experiences in which the computer and flow charts were used as aids. Performance data were collected using an investigator-constructed posttest. Sixty-eight eighth grade students were partitioned into four treatment groups: G1 used neither…
ERIC Educational Resources Information Center
de Castro, Christopher H.
2011-01-01
This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…
NASA Astrophysics Data System (ADS)
Nurjanah; Dahlan, J. A.; Wibisono, Y.
2017-02-01
This paper aims to make a design and development computer-based e-learning teaching material for improving mathematical understanding ability and spatial sense of junior high school students. Furthermore, the particular aims are (1) getting teaching material design, evaluation model, and intrument to measure mathematical understanding ability and spatial sense of junior high school students; (2) conducting trials computer-based e-learning teaching material model, asessment, and instrument to develop mathematical understanding ability and spatial sense of junior high school students; (3) completing teaching material models of computer-based e-learning, assessment, and develop mathematical understanding ability and spatial sense of junior high school students; (4) resulting research product is teaching materials of computer-based e-learning. Furthermore, the product is an interactive learning disc. The research method is used of this study is developmental research which is conducted by thought experiment and instruction experiment. The result showed that teaching materials could be used very well. This is based on the validation of computer-based e-learning teaching materials, which is validated by 5 multimedia experts. The judgement result of face and content validity of 5 validator shows that the same judgement result to the face and content validity of each item test of mathematical understanding ability and spatial sense. The reliability test of mathematical understanding ability and spatial sense are 0,929 and 0,939. This reliability test is very high. While the validity of both tests have a high and very high criteria.
ERIC Educational Resources Information Center
Dershem, Herbert L.
These modules view aspects of computer use in the problem-solving process, and introduce techniques and ideas that are applicable to other modes of problem solving. The first unit looks at algorithms, flowchart language, and problem-solving steps that apply this knowledge. The second unit describes ways in which computer iteration may be used…
NASA Astrophysics Data System (ADS)
Mirgaux, O.; Ablitzer, D.; Waz, E.; Bellot, J. P.
2009-06-01
The removal of inclusions by flotation in mechanically agitated vessels is widely used in liquid aluminum treatments. Originating from different sources (oxide skins, refractory, or recycling wastes), inclusions may have disastrous repercussions such as deterioration of the physical properties of the cast products or difficulties during forging processes. With the aim of both a better understanding of the physical processes acting during flotation and the optimization of the refining process, a mathematical modeling of the behavior of the population of inclusions has been set up. Transport phenomena, agglomeration of inclusions, and flotation are considered here. The model combines population balance with convective transport of the inclusions, in order to calculate the time evolution of the inclusion size distribution. An operator-splitting technique is employed to solve the coupled population balance equation (PBE) and the transport equation. The transport equation is solved using a finite volume technique associated with a total variation diminishing scheme, whereas the PBE resolution relies on the fixed pivot technique developed by Kumar and Ramkrishna. A laboratory-scale flotation vessel is modeled and the results of a two-dimensional (2-D) simulation are presented.
Hoffman, D.A.; Spruck, J.
1993-06-01
In the first section of this report, the authors describe their current collaboration with polymer physicists. This is primarily an effort to understand, and ultimately predict, the phase-interface structures for certain classes of compound polymers. A secondary goal is to develop a unified methodology. The second section describes work on boundary-value problems for hypersurfaces of constant Gaussian curvature. The third section summarizes recent discrete computational geometry studies of minimal surfaces. 19 refs., 4 figs.
Multi-Strain Deterministic Chaos in Dengue Epidemiology, A Challenge for Computational Mathematics
NASA Astrophysics Data System (ADS)
Aguiar, Maíra; Kooi, Bob W.; Stollenwerk, Nico
2009-09-01
Recently, we have analysed epidemiological models of competing strains of pathogens and hence differences in transmission for first versus secondary infection due to interaction of the strains with previously aquired immunities, as has been described for dengue fever, known as antibody dependent enhancement (ADE). These models show a rich variety of dynamics through bifurcations up to deterministic chaos. Including temporary cross-immunity even enlarges the parameter range of such chaotic attractors, and also gives rise to various coexisting attractors, which are difficult to identify by standard numerical bifurcation programs using continuation methods. A combination of techniques, including classical bifurcation plots and Lyapunov exponent spectra has to be applied in comparison to get further insight into such dynamical structures. Especially, Lyapunov spectra, which quantify the predictability horizon in the epidemiological system, are computationally very demanding. We show ways to speed up computations of such Lyapunov spectra by a factor of more than ten by parallelizing previously used sequential C programs. Such fast computations of Lyapunov spectra will be especially of use in future investigations of seasonally forced versions of the present models, as they are needed for data analysis.
NASA Technical Reports Server (NTRS)
Madnia, C. K.; Frankel, S. H.; Givi, P.
1992-01-01
Closed form analytical expressions are obtained for predicting the limited rate of reactant conversion in a binary reaction of the type F + rO yields (1 + r) Product in unpremixed homogeneous turbulence. These relations are obtained by means of a single point Probability Density Function (PDF) method based on the Amplitude Mapping Closure. It is demonstrated that with this model, the maximum rate of the reactants' decay can be conveniently expressed in terms of definite integrals of the Parabolic Cylinder Functions. For the cases with complete initial segregation, it is shown that the results agree very closely with those predicted by employing a Beta density of the first kind for an appropriately defined Shvab-Zeldovich scalar variable. With this assumption, the final results can also be expressed in terms of closed form analytical expressions which are based on the Incomplete Beta Functions. With both models, the dependence of the results on the stoichiometric coefficient and the equivalence ratio can be expressed in an explicit manner. For a stoichiometric mixture, the analytical results simplify significantly. In the mapping closure, these results are expressed in terms of simple trigonometric functions. For the Beta density model, they are in the form of Gamma Functions. In all the cases considered, the results are shown to agree well with data generated by Direct Numerical Simulations (DNS). Due to the simplicity of these expressions and because of nice mathematical features of the Parabolic Cylinder and the Incomplete Beta Functions, these models are recommended for estimating the limiting rate of reactant conversion in homogeneous reacting flows. These results also provide useful insights in assessing the extent of validity of turbulence closures in the modeling of unpremixed reacting flows. Some discussions are provided on the extension of the model for treating more complicated reacting systems including realistic kinetics schemes and multi-scalar mixing
Stamatakis, Michail; Zygourakis, Kyriacos
2010-01-01
Several approaches have been used in the past to model heterogeneity in bacterial cell populations, with each approach focusing on different source(s) of heterogeneity. However, a holistic approach that integrates all the major sources into a comprehensive framework applicable to cell populations is still lacking. In this work we present the mathematical formulation of a cell population master equation (CPME) that describes cell population dynamics and takes into account the major sources of heterogeneity, namely stochasticity in reaction, DNA-duplication, and division, as well as the random partitioning of species contents into the two daughter cells. The formulation also takes into account cell growth and respects the discrete nature of the molecular contents and cell numbers. We further develop a Monte Carlo algorithm for the simulation of the stochastic processes considered here. To benchmark our new framework, we first use it to quantify the effect of each source of heterogeneity on the intrinsic and the extrinsic phenotypic variability for the well-known two-promoter system used experimentally by Elowitz et al. (2002). We finally apply our framework to a more complicated system and demonstrate how the interplay between noisy gene expression and growth inhibition due to protein accumulation at the single cell level can result in complex behavior at the cell population level. The generality of our framework makes it suitable for studying a vast array of artificial and natural genetic networks. Using our Monte Carlo algorithm, cell population distributions can be predicted for the genetic architecture of interest, thereby quantifying the effect of stochasticity in intracellular reactions or the variability in the rate of physiological processes such as growth and division. Such in silico experiments can give insight into the behavior of cell populations and reveal the major sources contributing to cell population heterogeneity. PMID:20685607
1985-02-01
Associated with Damage Prediction) Professor John W. Hutchinson Methods for Analyzing the Harvard University Mechanical Properties of Nonlinear Two Phase...ANALYZING THE MECHANICAL PROPERTIES OF NONLINEAR TWO-PHASE COMPOSITE MATERIALS John W. Hutchinson, Harvard University, Cambridge, Massachul•,1: t:!; Thursday...MATHEMATICAL PROPERTIES OF COMPUTATIONAL SETS Charles R. Leake, US Army Concepts Analysis Agency, Bethesda, Maryland S0 NORMAL SOLUTIONS OF LARGE
ERIC Educational Resources Information Center
Joel Popkin and Co., Washington, DC.
Data from the Current Population Surveys of October 1984, October 1989, and January 1991 were used to examine the role of computer and mathematical skills in the U.S. labor market from 1984-91. Particular attention was given to their actual and potential effect on the economic status of women. Data confirmed the overall increase in the education…
ERIC Educational Resources Information Center
Kiss, Gabor
2012-01-01
An analysis of Information Technology knowledge of Hungarian and Romanian students was made with the help of a self developed web based Informatics Test. The goal of this research is an analysis of the Computer Science knowledge level of Hungarian and Romanian students attending a Science course or a Mathematics-Informatics course. Analysed was…
ERIC Educational Resources Information Center
Enyedy, Noel
2003-01-01
Investigates how students' mathematical activities and understandings change as a function of their participation in different social configurations. Examines how the interplay between two social configurations--local investigations at a computer simulation and whole-class discussions--contributes to how 7th grade students learn probabilistic…
ERIC Educational Resources Information Center
Stein, David; Ostrander, Peter; Lee, G. Maie
2016-01-01
The Magnet Program at Montgomery Blair High School is an application-based magnet program utilizing a curriculum focused on science, mathematics, and computer science catering to interested, talented, and eager to learn students in Montgomery County, Maryland. This article identifies and discusses some of the unique aspects of the Magnet Program…
ERIC Educational Resources Information Center
Allinder, Rose M.; Bolling, Rachelle M.; Oats, Robert G.; Gagnon, Wendy A.
2000-01-01
A study examined the effects of combining curriculum-based measurement in mathematics computation with teachers' self-monitoring of instructional changes on academic progress of 54 elementary students with learning disabilities and mild mental disabilities. The combination of curriculum-based measurement and self-monitoring resulted in…
ERIC Educational Resources Information Center
Allinder, Rose M.; Bolling, Rachelle M.; Oats, Robert G.; Gagnon, Wendy A.
2000-01-01
A study examined the effects of combining curriculum-based measurement in mathematics computation with teachers' self-monitoring of instructional changes on academic progress of 54 elementary students with learning disabilities and mild mental disabilities. The combination of curriculum-based measurement and self-monitoring resulted in…
ERIC Educational Resources Information Center
Langer-Osuna, Jennifer
2015-01-01
This paper draws on the constructs of hybridity, figured worlds, and cultural capital to examine how a group of African-American students in a technology-driven, project-based algebra classroom utilized the computer as a resource to coordinate personal and mathematical positional identities during group work. Analyses of several vignettes of small…
ERIC Educational Resources Information Center
Ruthven, Kenneth
2008-01-01
This article examines three important facets of the incorporation of new technologies into educational practice, focusing on emergent usages of the mathematical tools of computer algebra and dynamic geometry. First, it illustrates the interpretative flexibility of these tools, highlighting important differences in ways of conceptualizing and…
ERIC Educational Resources Information Center
Stein, David; Ostrander, Peter; Lee, G. Maie
2016-01-01
The Magnet Program at Montgomery Blair High School is an application-based magnet program utilizing a curriculum focused on science, mathematics, and computer science catering to interested, talented, and eager to learn students in Montgomery County, Maryland. This article identifies and discusses some of the unique aspects of the Magnet Program…
ERIC Educational Resources Information Center
Uprichard, A. Edward; Collura, Carolyn
This investigation sought to determine the effect of emphasizing mathematical structure in the acquisition of computational skills by seven- and eight-year-olds. The meaningful development-of-structure approach emphasized closure, commutativity, associativity, and the identity element of addition; the inverse relationship between addition and…