Key Concept Mathematics and Management Science Models
Macbeth, Thomas G.; Dery, George C.
1973-01-01
The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)
Using the Tower of Hanoi Puzzle to Infuse Your Mathematics Classroom with Computer Science Concepts
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…
Jost, Jürgen
2015-01-01
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...
The concept of competence and its relevance for science, technology, and mathematics education
DEFF Research Database (Denmark)
Ropohl, Mathias; Nielsen, Jan Alexis; Olley, Christopher
2018-01-01
. In contrast to earlier ed-ucational goals that focused more on basic skills and knowledge expectations, competences are more functionally oriented. They involve the ability to solve complex problems in a particular context, e.g. in vocational or everyday situations. In science, technology, and mathematics...... education, the concept of competence is closely linked to the concept of literacy. Apart from these rather cognitive and af-fective perspectives influenced by the need to assess students’ achievement of de-sired learning goals in relation to their interest and motivation, the perspectives of the concept...
Directory of Open Access Journals (Sweden)
А. Лопатьєв
2017-09-01
Full Text Available The objective is to systematize and adapt the basic definitions and concepts of the systems approach, mathematical modeling and information technologies to sports science. Materials and methods. The research has studied the availability of appropriate terms in shooting sports, which would meet the requirements of modern sports science. It has examined the compliance of the shooting sports training program for children and youth sports schools, the Olympic reserve specialized children and youth schools, schools of higher sports skills, and sports educational institutions with the modern requirements and principles. Research results. The paper suggests the basic definitions adapted to the requirements of technical sports and sports science. The research has thoroughly analyzed the shooting sports training program for children and youth sports schools, the Olympic reserve specialized children and youth schools, schools of higher sports skills, and sports educational institutions. The paper offers options to improve the training program in accordance with the modern tendencies of training athletes. Conclusions. The research suggests to systematize and adapt the basic definitions and concepts of the systems approach, mathematical modeling and information technologies using the example of technical sports.
Fundamental concepts of mathematics
Goodstein, R L
Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people
Starobin, Soko S.; Laanan, Frankie Santos
Female and minority students have historically been underrepresented in the field of science, mathematics, and engineering at colleges and universities. Although a plethora of research has focused on students enrolled in 4-year colleges or universities, limited research addresses the factors that influence gender differences in community college students in science, mathematics, and engineering. Using a target population of 1,599 aspirants in science, mathematics, and engineering majors in public community colleges, this study investigates the determinants of self-concept by examining a hypothetical structural model. The findings suggest that background characteristics, high school academic performance, and attitude toward science have unique contributions to the development of self-concept among female community college students. The results add to the literature by providing new theoretical constructs and the variables that predict students' self-concept.
Integrated learning of mathematics, science and technology concepts through LEGO/Logo projects
Wu, Lina
This dissertation examined integrated learning in the domains of mathematics, science and technology based on Piaget's constructivism, Papert's constructionism, and project-based approach to education. Ten fifth grade students were involved in a two-month long after school program where they designed and built their own computer-controlled LEGO/Logo projects that required the use of gears, ratios and motion concepts. The design of this study centered on three notions of integrated learning: (1) integration in terms of what educational materials/settings provide, (2) integration in terms of students' use of those materials, and (3) integration in the psychological sense. In terms of the first notion, the results generally showed that the LEGO/Logo environment supported the integrated learning of math, science and technology concepts. Regarding the second notion, the students all completed impressive projects of their own design. They successfully combined gears, motors, and LEGO parts together to create motion and writing control commands to manipulate the motion. But contrary to my initial expectations, their successful designs did not require numerical reasoning about ratios in designing effective gear systems. When they did reason about gear relationships, they worked with "qualitative" ratios, e.g., "a larger driver gear with a smaller driven gear increases the speed." In terms of the third notion of integrated learning, there was evidence in all four case study students of the psychological processes involved in linking mathematical, scientific, and/or technological concepts together to achieve new conceptual units. The students not only made connections between ideas and experiences, but also recognized decisive patterns and relationships in their project work. The students with stronger overall project performances showed more evidence of synthesis than the students with relatively weaker performances did. The findings support the conclusion that all three
Concepts of modern mathematics
Stewart, Ian
1995-01-01
Some years ago, ""new math"" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of ""new math"" have been eliminated and its positive elements assimilated into classroom instruction.In this charming volume, a noted English mathematician uses humor an
Concepts of mathematical modeling
Meyer, Walter J
2004-01-01
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each sec
Mathematical Sciences in Australia
Thomas, Jan; Muchatuta, Michelle; Wood, Leigh
2009-01-01
This article investigates enrolment trends in mathematical sciences in Australian universities. Data has been difficult to extract and the coding for mathematical disciplines has made investigation challenging. We show that the number of mathematics major undergraduates in Australia is steadily declining though the number studying…
Applying Mathematical Concepts with Hands-On, Food-Based Science Curriculum
Roseno, Ashley T.; Carraway-Stage, Virginia G.; Hoerdeman, Callan; Díaz, Sebastián R.; Geist, Eugene; Duffrin, Melani W.
2015-01-01
This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the…
Stout, Jane G; Dasgupta, Nilanjana; Hunsinger, Matthew; McManus, Melissa A
2011-02-01
Three studies tested a stereotype inoculation model, which proposed that contact with same-sex experts (advanced peers, professionals, professors) in academic environments involving science, technology, engineering, and mathematics (STEM) enhances women's self-concept in STEM, attitudes toward STEM, and motivation to pursue STEM careers. Two cross-sectional controlled experiments and 1 longitudinal naturalistic study in a calculus class revealed that exposure to female STEM experts promoted positive implicit attitudes and stronger implicit identification with STEM (Studies 1-3), greater self-efficacy in STEM (Study 3), and more effort on STEM tests (Study 1). Studies 2 and 3 suggested that the benefit of seeing same-sex experts is driven by greater subjective identification and connectedness with these individuals, which in turn predicts enhanced self-efficacy, domain identification, and commitment to pursue STEM careers. Importantly, women's own self-concept benefited from contact with female experts even though negative stereotypes about their gender and STEM remained active. (PsycINFO Database Record (c) 2010 APA, all rights reserved).
Garza, Jennifer M.
2017-01-01
The purpose of this study is to inform and further the discussion of academic (i.e., teachers and school counselors) and non-academic (i.e., parents, family, friends, etc.) validating agents on Latina students' mathematics and science self-concepts. This study found a relationship between Latina students' interactions with academic and…
The Critical Concepts. Final Version: English Language Arts, Mathematics, and Science
Simms, Julia A.
2016-01-01
Research indicates that most standards documents articulate far more content than can be taught in the time available to K-12 teachers. In response, analysts at Marzano Research sought to identify, as objectively as possible, a focused set of critical concepts for each K-12 grade level in the content areas of English language arts (ELA),…
Exploring international gender differences in mathematics self-concept
Goldman, Amy D.; Penner, Andrew M.
2013-01-01
This study provides an international perspective on mathematics by examnnng mathematics self-concept, achievement, and the desire to enter a career involving mathematics among eighth graders in 49 countries. Using data from the Trends in International Mathematics and Science Study, this study shows that self-concept in mathematics is more closely related to the desire to enter a career using mathematics than achievement is. Further, while gender differences in mathematics self-concept are smaller in more egalitarian countries, both girls and boys have lower mathematics self-concepts and less interest in mathematics careers in these countries. These findings reveal a policy paradox: policies aimed at training the next generation of STEM professionals often highlight the need to close the gender gap, but countries with smaller gender gaps have fewer boys and girls interested in mathematics-intensive careers. We conclude by highlighting the importance of disentangling instrumental and expressive aspects of gender inequality in STEM fields. PMID:27840545
Mathematical concepts of optical superresolution
International Nuclear Information System (INIS)
Lindberg, Jari
2012-01-01
Optical imaging beyond the diffraction limit, i.e., optical superresolution, has been studied extensively in various contexts. This paper presents an overview of some mathematical concepts relevant to superresolution in linear optical systems. Properties of bandlimited functions are surveyed and are related to both instrumental and computational aspects of superresolution. The phenomenon of superoscillation and its relation to superresolution are discussed. (review article)
Directory of Open Access Journals (Sweden)
Hanne Møller Andersen
2010-04-01
Full Text Available Previous studies have found core teaching conceptions (CTCs to influence teachers’ actions, i.e. how they engage with new teaching practices (e.g. Lotter, Harwood, & Bonner, 2007. This study explores typical CTCs and their subject specific nature in a sample of teachers from physics, biology, and mathematics in Danish upper secondary school. Teachers’ CTCs were investigated through their essay responses to a set of open core questions, administered through a web-platform. Results demonstrate that teachers’ CTCs come in subject specific flavours, encompassing their purpose for teaching the subject, their conceptions of teaching and learning, and their conceptions of interdisciplinary teaching. It is argued that such differences shape teachers’ engagement with new cross-curricular innovations in the Danish context. Assessing and addressing typical and personal CTCs are found to be crucial to a successful implementation of current reform-initiatives, for teacher training, and for self-regulated professional development among teachers.
Wong, Sissy S.; Firestone, Jonah B.; Ronduen, Lionnel G.; Bang, EunJin
2016-01-01
Science, Technology, Engineering, and Mathematics (STEM) education has become one of the main priorities in the United States. Science education communities and researchers advocate for integration of STEM disciplines throughout the teaching curriculum. This requires teacher knowledge in STEM disciplines, as well as competence in scientific…
Garza, Jennifer M.
The purpose of this study is to inform and further the discussion of academic (i.e. teachers and school counselors) and non-academic (i.e. parents, family, friends, etc.) validating agents on Latina students' mathematics and science self-concepts. This study found a relationship between Latina students' interactions with academic and non-academic validating agents and their math and science self-concept at the K-12 level. Through the review of the literature the researcher addresses identifiable factors and strategies that inform the field of education in the areas of validation theory, family characteristics, and access to STEM fields for Latina students. The researcher used an established instrument designed, administered, and validated through the National Center for Education Statistics (NCES). For purposes of this study, a categorical subset of participants who self-identified as being a Latina student was used. As a result, the total subset number in this study was N=1,882. To determine if academic and non-academic validating agents had an observable statistically significant relationship with Latina students' math and science self-concept, a series of one-way ANOVAs were calculated to compare differences in students' math and science self-concept based on academic and non-academic validating agents for the weighted sample of Latinas for the HLS:09 survey. A path analysis was also employed to assess the factors involved in Latina students' math and science self-concepts. The findings are consistent with previous research involving the influence that academic and non-academic validating agents have on the math and science self-concept of Latina students. The results indicated that students who had teachers that believed in the students, regardless of family background, social economic status or home environment influences had higher math and science self concepts than those who did not. Similarly, it was found that students who had counselors that set high
Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches
Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem
2014-01-01
Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…
Leaper, Campbell
2010-01-01
The study investigated Latina and European American adolescent girls’ (N = 345, M = 15.2 years, range = 13 to 18) experiences with academic sexism in mathematics and science (M/S) and their M/S perceived competence and M/S value (liking and importance). M/S academic sexism was based on girls’ reported experiences hearing sexist comments about girls’ abilities in math and science. Older European American adolescents, and both younger and older Latina adolescents, who experienced several instances of academic sexism felt less competent in M/S than girls who experienced less sexism (controlling for M/S grades). In addition, among older girls (regardless of ethnicity), those who experienced several instances of academic sexism valued M/S less than girls who experienced less sexism. PMID:21212810
Brown, Christia Spears; Leaper, Campbell
2010-12-01
The study investigated Latina and European American adolescent girls' (N = 345, M = 15.2 years, range = 13 to 18) experiences with academic sexism in mathematics and science (M/S) and their M/S perceived competence and M/S value (liking and importance). M/S academic sexism was based on girls' reported experiences hearing sexist comments about girls' abilities in math and science. Older European American adolescents, and both younger and older Latina adolescents, who experienced several instances of academic sexism felt less competent in M/S than girls who experienced less sexism (controlling for M/S grades). In addition, among older girls (regardless of ethnicity), those who experienced several instances of academic sexism valued M/S less than girls who experienced less sexism.
Mathematics and Computer Science | Argonne National Laboratory
Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Applications Software Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Opportunities For Employees Staff Directory Argonne National Laboratory Mathematics and Computer Science Tools
Teachers' Conceptions of Mathematical Modeling
Gould, Heather
2013-01-01
The release of the "Common Core State Standards for Mathematics" in 2010 resulted in a new focus on mathematical modeling in United States curricula. Mathematical modeling represents a way of doing and understanding mathematics new to most teachers. The purpose of this study was to determine the conceptions and misconceptions held by…
Global Journal of Mathematical Sciences
African Journals Online (AJOL)
Global Journal of Mathematical Sciences publishes research work in all areas of ... of new theories, techniques and application to science, industry and society. The journal aims to promote the exchange of information and ideas between all ...
A Mathematics and Science Trail
Smith, Kathy Horak; Fuentes, Sarah Quebec
2012-01-01
In an attempt to engage primary-school students in a hands-on, real-world problem-solving context, a large urban district, a mathematics and science institute housed in a college of education, and a corporate sponsor in the southwest United States, joined forces to create a mathematics and science trail for fourth- and fifth-grade students. A…
Guide to mathematical concepts of quantum theory
International Nuclear Information System (INIS)
Heinosaari, T.; Ziman, M.
2008-01-01
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start with splitting the experiment into two parts: a preparation process and a measurement process leading to a registration of a particular outcome. These two ingredients of the experiment are represented by states and effects, respectively. Further, the whole picture of quantum measurement will be developed and concepts of observables, instruments and measurement models representing the three different descriptions on experiments will be introduced. In the second stage, we enrich the model of the experiment by introducing the concept of quantum channel describing the system changes between preparations and measurements. At the very end we review the elementary properties of quantum entanglement. The text contains many examples and exercise covering also many topics from quantum information theory and quantum measurement theory. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory (Authors)
Guide to mathematical concepts of quantum theory
International Nuclear Information System (INIS)
Heinosaari, T.; Ziman, M.
2008-01-01
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start with splitting the experiment into two parts: a preparation process and a measurement process leading to a registration of a particular outcome. These two ingredients of the experiment are represented by states and effects, respectively. Further, the whole picture of quantum measurement will be developed and concepts of observables, instruments and measurement models representing the three different descriptions on experiments will be introduced. In the second stage, we enrich the model of the experiment by introducing the concept of quantum channel describing the system changes between preparations and measurements. At the very end we review the elementary properties of quantum entanglement. The text contains many examples and exercise covering also many topics from quantum information theory and quantum measurement theory. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory. (author)
Mathematical concepts for mechanical engineering design
Asli, Kaveh Hariri; Aliyev, Soltan Ali Ogli
2013-01-01
PrefaceIntroductionHeat Flow: From Theory to PracticeDispersed Fluid and Ideal Fluid MechanicsModeling for Pressure Wave into Water PipelineHeat Transfer and Vapor BubbleMathematical Concepts and Computational Approaches on Hydrodynamics InstabilityMathematical Concepts and Dynamic ModelingModeling for Predictions of Air Entrance into Water PipelineIndex
A Mathematical Sciences Program at an Upper-Division Campus.
Swetz, Frank J.
1978-01-01
The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)
Mathematical Sciences Institute Workshop
Scott, Philip
1990-01-01
A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions ...
Using Mathematics in Science: Working with Your Mathematics Department
Lyon, Steve
2014-01-01
Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…
Construction and reconstruction concept in mathematics instruction
Mumu, Jeinne; Charitas Indra Prahmana, Rully; Tanujaya, Benidiktus
2017-12-01
The purpose of this paper is to describe two learning activities undertaken by lecturers, so that students can understand a mathematical concept. The mathematical concept studied in this research is the Vector Space in Linear Algebra instruction. Classroom Action Research used as a research method with pre-service mathematics teacher at University of Papua as the research subject. Student participants are divided into two parallel classes, 24 students in regular class, and remedial class consist of 18 students. Both approaches, construct and reconstruction concept, are implemented on both classes. The result shows that concept construction can only be done in regular class while in remedial class, learning with concept construction approach is not able to increase students' understanding on the concept taught. Understanding the concept of a student in a remedial class can only be carried out using the concept reconstruction approach.
Cognitive science and mathematics education
Schoenfeld, Alan H
1987-01-01
This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Mathematical logic foundations for information science
Li, Wei
2014-01-01
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds...
National Center for Mathematics and Science
NCISLA logo National Center for Improving Student Learning and Achievement in Mathematics and Wisconsin-Madison Powerful Practices in Mathematics & Sciences A multimedia product for educators . Scaling Up Innovative Practices in Mathematics and Science (Research Report). Thomas P. Carpenter, Maria
Mathematical paradigms of climate science
Cannarsa, Piermarco; Jones, Christopher; Portaluri, Alessandro
2016-01-01
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation te...
Mathematical foundation of computer science
Singh, YN
2005-01-01
The interesting feature of this book is its organization and structure. That consists of systematizing of the definitions, methods, and results that something resembling a theory. Simplicity, clarity, and precision of mathematical language makes theoretical topics more appealing to the readers who are of mathematical or non-mathematical background. For quick references and immediate attentions¾concepts and definitions, methods and theorems, and key notes are presented through highlighted points from beginning to end. Whenever, necessary and probable a visual approach of presentation is used. The amalgamation of text and figures make mathematical rigors easier to understand. Each chapter begins with the detailed contents, which are discussed inside the chapter and conclude with a summary of the material covered in the chapter. Summary provides a brief overview of all the topics covered in the chapter. To demonstrate the principles better, the applicability of the concepts discussed in each topic are illustrat...
Crafting by concepts fiber arts and mathematics
Belcastro, Sarah-Marie
2016-01-01
From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.
Science and Mathematics in Astronomy
Woolack, Edward
2009-01-01
A brief historical introduction to the development of observational astronomy will be presented. The close historical relationship between the successful application of mathematical concepts and advances in astronomy will be presented. A variety of simple physical demonstrations, hands-on group activities, and puzzles will be used to understand how the properties of light can be used to understand the contents of our universe.
Basic mathematics for the biological and social sciences
Marriott, F H C
2013-01-01
Basic Mathematics for the Biological and Social Sciences deals with the applications of basic mathematics in the biological and social sciences. Mathematical concepts that are discussed in this book include graphical methods, differentiation, trigonometrical or circular functions, limits and convergence, integration, vectors, and differential equations. The exponential function and related functions are also considered. This monograph is comprised of 11 chapters and begins with an overview of basic algebra, followed by an introduction to infinitesimal calculus, scalar and vector quantities, co
The Language of Mathematics in Science
Boohan, Richard
2016-01-01
"The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…
Mathematical Abstraction: Constructing Concept of Parallel Coordinates
Nurhasanah, F.; Kusumah, Y. S.; Sabandar, J.; Suryadi, D.
2017-09-01
Mathematical abstraction is an important process in teaching and learning mathematics so pre-service mathematics teachers need to understand and experience this process. One of the theoretical-methodological frameworks for studying this process is Abstraction in Context (AiC). Based on this framework, abstraction process comprises of observable epistemic actions, Recognition, Building-With, Construction, and Consolidation called as RBC + C model. This study investigates and analyzes how pre-service mathematics teachers constructed and consolidated concept of Parallel Coordinates in a group discussion. It uses AiC framework for analyzing mathematical abstraction of a group of pre-service teachers consisted of four students in learning Parallel Coordinates concepts. The data were collected through video recording, students’ worksheet, test, and field notes. The result shows that the students’ prior knowledge related to concept of the Cartesian coordinate has significant role in the process of constructing Parallel Coordinates concept as a new knowledge. The consolidation process is influenced by the social interaction between group members. The abstraction process taken place in this group were dominated by empirical abstraction that emphasizes on the aspect of identifying characteristic of manipulated or imagined object during the process of recognizing and building-with.
Weiss, Iris R.
The NCTM Standards call for the introduction of challenging mathematics content for all students beginning in the early grades. If teachers are to guide students in their exploration of mathematics concepts, they must themselves have a firm grasp of powerful mathematics concepts. This paper uses data from the 1993 National Survey of Science and…
Mathematics education a spectrum of work in mathematical sciences departments
Hsu, Pao-sheng; Pollatsek, Harriet
2016-01-01
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Ali Reza Ashrafi1 Geetha Venkataraman1 2. Department of Mathematics, University of Kashan, Kashan, Iran; Department of Mathematics and Mathematical Sciences Foundation, St. Stephen's College, Delhi 110 007, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. XIAOXIANG JIAO1 MINGYAN LI2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China; School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
, Sichuan 614202, China; School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China; School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ...
The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics
Ekwueme, Cecilia O.; Ekon, Esther E.; Ezenwa-Nebife, Dorothy C.
2015-01-01
Children can learn mathematics and sciences effectively even before being exposed to formal school curriculum if basic Mathematics and Sciences concepts are communicated to them early using activity oriented (Hands-on) method of teaching. Mathematics and Science are practical and activity oriented and can best be learnt through inquiry (Okebukola…
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Search. Search. Proceedings – Mathematical Sciences. Title. Author. Keywords. Fulltext. Submit. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues ...
Mathematical Modeling in Combustion Science
Takeno, Tadao
1988-01-01
An important new area of current research in combustion science is reviewed in the contributions to this volume. The complicated phenomena of combustion, such as chemical reactions, heat and mass transfer, and gaseous flows, have so far been studied predominantly by experiment and by phenomenological approaches. But asymptotic analysis and other recent developments are rapidly changing this situation. The contributions in this volume are devoted to mathematical modeling in three areas: high Mach number combustion, complex chemistry and physics, and flame modeling in small scale turbulent flow combustion.
Mathematics and Computer Science: The Interplay
Madhavan, Veni CE
2005-01-01
Mathematics has been an important intellectual preoccupation of man for a long time. Computer science as a formal discipline is about seven decades young. However, one thing in common between all users and producers of mathematical thought is the almost involuntary use of computing. In this article, we bring to fore the many close connections and parallels between the two sciences of mathematics and computing. We show that, unlike in the other branches of human inquiry where mathematics is me...
Assessing mathematics within advanced school science qualifications
McAlinden, Mary; Noyes, Andrew
2017-01-01
Following sustained discussion regarding the relationship between advanced mathematics and science learning in England, the government has pursued a reform agenda in which mathematics is embedded in national, high stakes A-level science qualifications and their assessments for 18-year-olds. For example, A-level Chemistry must incorporate the assessment of relevant mathematics for at least 20% of the qualification. Other sciences have different mandated percentages. This embedding policy is ru...
The concept of stability in numerical mathematics
Hackbusch, Wolfgang
2014-01-01
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
Science and mathematics teachers of the future
DEFF Research Database (Denmark)
Michelsen, Claus; Nielsen, Jan Alexis; Petersen, Morten Rask
2008-01-01
This paper presents the project Science and Mathematics Teachers of the Future. The aim of the project is to develop and implement a graduate level equivalent degree program in mathematics and science instruction for in-service teachers of lower secondary education. This aim is achieved...... in the programme through involving the teachers in design, implementation and evaluation of innovative instructional sequences, which deals with a wide range of aspects of mathematics and science, e.g. modern science and the importance of science in society. In the program contemporary science and mathematics...... education research serves as a basis for the design and development of warranted practices with which the teachers may experiment in their classroom. We will focus on the outcomes of offering a program which is intimately tied to (i) contemporary science and mathematics education research, (ii) modern...
Akkus, Oylum
2008-01-01
The purpose of this study was to investigate preservice elementary mathematics teachers' ability of relating mathematical concepts and daily life context. Two research questions were set; what is the preservice elementary mathematics teachers' level of relating mathematical concepts and daily life context regarding to their education year and…
Yang, Kai-Lin
2014-01-01
This study used phenomenography, a qualitative method, to investigate Taiwanese mathematics teachers' conceptions of school mathematics, school statistics, and their differences. To collect data, we interviewed five mathematics teachers by open questions. They also responded to statements drawn on mathematical/statistical conceptions and…
Mathematical Sciences Research Institute Workshop
Mirror Symmetry I
1998-01-01
This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser, and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development. Vafa introduced the concept of quantum cohomology. Several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau, and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his coauthors addressed special geometry and $N=2$ supergravity. Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Notes on Discrete Subgroups of Möbius Transformations ... Department of Applied Mathematics, Hunan University, Changsha 410082, People's Republic of China; School of Mathematics and Computational Science, Wuyi University, Jiangmen, ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Department of Mathematics, Teachers College of Qingdao University, Qingdao 266071, People's Republic of China; School of Mathematical Sciences, Ocean University of China, Qingdao 266100, People's Republic of China; School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Yingqing Xiao1 Weiyuan Qiu2. College of Mathematics and Economics, Hunan University, Changsha 410082, China; School of Mathematical Sciences, Fudan University, Shanghai 200433, China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Dong Jun Jee1 Tuo Yeong Lee1 Nathaniel Zhi-Wei Leon1. Department of Mathematics, Statistics and Computing, NUS High School of Mathematics and Science, 20 Clementi Avenue 1, Singapore 129957, Republic of Singapore ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Wenhua Gao1 Lin Tang2. School of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai 519085, People's Republic of China; LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 4 ... by application to a number of examples arising in physics and probability. ... Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, ...
Connecting Mathematics in Primary Science Inquiry Projects
So, Winnie Wing-mui
2013-01-01
Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…
Wegner, Claas; Issak, Nicole; Tesch, Katharina; Zehne, Carolin
2016-01-01
The following article presents a concept of a science club which was developed by two master's students as a part of their thesis and which has been developed and improved ever since. The extra-curricular concept emphasises pupils' individuality through focusing on problem based leaning, station learning, and mixed age groups. Having joined the…
Applied Computational Mathematics in Social Sciences
Damaceanu, Romulus-Catalin
2010-01-01
Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.
Reforming Science and Mathematics Education
Lagowski, J. J.
1995-09-01
Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take
African Journal of Educational Studies in Mathematics and Sciences
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.
National Center for Mathematics and Science - teacher resources
Mathematics and Science (NCISLA) HOME | PROGRAM OVERVIEW | RESEARCH AND PROFESSIONAL DEVELOPMENT support and improve student understanding of mathematics and science. The instructional resources listed Resources (CD)Powerful Practices in Mathematics and Science A multimedia product for educators, professional
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Ravi P Agarwal1 Jong Kyu Kim2 Donal O' Regan3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA; Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea; Department of Mathematics, National University of Ireland, Galway, Ireland ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Jizheng Huang1 Yu Liu2. College of Sciences, North China University of Technology, Beijing 100144, People's Republic of China; School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Chengyuan Qu1 Yang Cao2. School of Science, Dalian Nationalities University, Dalian 116600, China; School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. A R Aithal. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 1 February 2005 pp 93-102. On Two Functionals Connected to the Laplacian in a Class of Doubly Connected Domains in Space-Forms · M H C Anisa A R Aithal · More Details ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Editorial Board. Proceedings – Mathematical Sciences. Chief Editor. B V Rajarama Bhat, Indian Statistical Institute, Bengaluru (bhat@isibang.ac.in). Associate Editor. Parameswaran Sankaran, The Institute of Mathematical Sciences, Chennai (sankaran@imsc.res.in). Advisory Board. M S Raghunathan, Indian Institute of ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2 ... Quantum random walk; quantum Lévy process; discrete approximation. ... route de Gray, 25 030 Besançon cedex, France; Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan; Department of Mathematics, ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco; Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa 252-8520, Japan; School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City 6691337, Japan ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. José M Sigarreta. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 5 November 2010 pp 593-609. Gromov Hyperbolicity in Cartesian Product Graphs · Junior Michel José M Rodríguez José M Sigarreta María Villeta · More Details Abstract ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 1. Projections of Veronese surface and morphisms from projective plane to Grassmannian ... M2, Universite Lille 1, F-59655 Villeneuve d'Ascq Cedex, France; Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Basudeb Datta. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 2 May 2002 pp 257-281. Two-Dimensional Weak Pseudomanifolds on Eight Vertices · Basudeb Datta Nandini Nilakantan · More Details Abstract Fulltext PDF. We explicitly ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. MEGHA GOYAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL · More Details Abstract Fulltext PDF. In this paper, we provide ...
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Home; Journals; Proceedings – Mathematical Sciences. OLIVIA X M YAO. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 393-410 Research Article. New modular relations involving cubes of the Göllnitz–Gordon functions · OLIVIA X M YAO · More Details Abstract Fulltext PDF.
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Home; Journals; Proceedings – Mathematical Sciences. K R Parthasarathy. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 1 February 2003 pp 3-13. A Remark on the Unitary Group of a Tensor Product of Finite-Dimensional Hilbert Spaces · K R Parthasarathy · More Details Abstract Fulltext ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Arne Jensen1 2. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan; Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 2. Sums of Two Polynomials with Each having Real Zeros Symmetric with the Other. Seon-Hong Kim. Volume 112 Issue 2 ... Author Affiliations. Seon-Hong Kim1. School of Mathematical Sciences, Seoul National University, Seoul 151-742, Korea ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. SENJO SHIMIZU. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 5 November 2017 pp 815-831 Special Issue. Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case · JAN PRÜSS SENJO ...
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Home; Journals; Proceedings – Mathematical Sciences. Proceedings – Mathematical Sciences. Volumes & Issues. Volume 128. Issue 1. Mar 2018; Issue 2. Apr 2018. Volume 127. Issue 1. Feb 2017; Issue 2. Apr 2017; Issue 3. Jun 2017; Issue 4. Sep 2017; Issue 5. Nov 2017. Volume 126. Issue 1. Feb 2016; Issue 2
Proceedings – Mathematical Sciences | Indian Academy of Sciences
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Home; Journals; Proceedings – Mathematical Sciences. Pravir Dutt. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details Abstract ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Satyendra Tomar. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. A GHAFFARI. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 4 September 2017 pp 689-705 Research Article. Involutions and trivolutions on second dual of algebras related to locally compact groups and topological semigroups.
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Home; Journals; Proceedings – Mathematical Sciences. CHANCHAL KUMAR. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 163-168. Deficiently Extremal Cohen-Macaulay Algebras · Chanchal Kumar Pavinder Singh · More Details Abstract Fulltext PDF. The aim of this paper is ...
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Home; Journals; Proceedings – Mathematical Sciences. INDRANIL BISWAS. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 3 August 2001 pp 263-269. Stability of Picard Bundle Over Moduli Space of Stable Vector Bundles of Rank Two Over a Curve · Indranil Biswas Tomás L Gómez.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Q X Yang. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 2 May 2005 pp 191-200. L p -Continuity for Calderón–Zygmund Operator · Q X Yang · More Details Abstract Fulltext PDF. Given a Calderón–Zygmund (- for short) operator , ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
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Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 3. Time-Periodic Solution of a 2D ... Xiaopeng Zhao1 Changchun Liu2. School of Science, Jiangnan University, Wuxi 214122, People's Republic of China; Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3 ... TIFR Centre for Applicable Mathematics, P.O. Box 6503, Sharadanagar, GKVK Post, Bangalore 560 065, India; Indian Institute of Science Education and Research, C/o Sree Rama Engineering College (Transit Campus), Rami Reddy Nagar, ...
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Home; Journals; Proceedings – Mathematical Sciences. Shobha Madan. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 2 May 2003 pp 171-178. Wavelet Subspaces Invariant Under Groups of Translation Operators · Biswaranjan Behera Shobha Madan · More Details Abstract Fulltext PDF.
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Rémi Léandre. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 4 November 2006 pp 507-518 Non-commutative Probability Theory. Malliavin Calculus of Bismut Type without Probability · Rémi Léandre · More Details Abstract Fulltext PDF.
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Home; Journals; Proceedings – Mathematical Sciences; Forthcoming articles. Forthcoming articles. Proceedings – Mathematical Sciences. PMSC-D-14-00136. Combinatorics of tenth order mock theta functions. J K SAREEN M RANA. Abstract. In this paper we are providing the combinatorial interpretations of two tenth ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. B V Rao. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 1 February 2006 pp 83-96. On Characterisation of Markov Processes Via Martingale Problems · Abhay G Bhatt Rajeeva L Karandikar B V Rao · More Details Abstract Fulltext PDF.
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Home; Journals; Proceedings – Mathematical Sciences. Hongliang Yao. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 199-207. A T -Algebras and Extensions of A T -Algebras · Hongliang Yao · More Details Abstract Fulltext PDF. Lin and Su classified A T -algebras of real rank ...
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Home; Journals; Proceedings – Mathematical Sciences. Vijay Kodiyalam. Articles written in Proceedings – Mathematical Sciences. Volume 110 Issue 3 August 2000 pp 263-292. The Algebra of -relations · Vijay Kodiyalam R Srinivasan V S Sunder · More Details Abstract Fulltext PDF. In this paper, we study a tower { A n G ...
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Home; Journals; Proceedings – Mathematical Sciences. Antonio J Calderón Martín. Articles written in Proceedings – Mathematical Sciences. Volume 118 Issue 3 August 2008 pp 351-356. On Split Lie Algebras with Symmetric Root Systems · Antonio J Calderón Martín · More Details Abstract Fulltext PDF. We develop ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. E M El-Kholy1 El-Said R Lashin2 Salama N Daoud2. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; Department of Mathematics, Faculty of Science, El-Minufiya University, Shebeen El-Kom, Egypt ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. MIHAJA RAKOTOMALALA. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 411-421 Research Article. On a problem of Pillai with Fibonacci numbers and powers of 2 · MAHADI DDAMULIRA FLORIAN LUCA MIHAJA ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Bülent Nafi Örnek. Articles written in Proceedings – Mathematical Sciences. Volume 126 Issue 1 February 2016 pp 69-78. Sharpened forms of the generalized Schwarz inequality on the boundary · Tuğba Akyel Bülent Nafi Örnek · More Details Abstract Fulltext PDF.
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. Suprio Bhar. Articles written in Proceedings – Mathematical Sciences. Volume 125 Issue 1 February 2015 pp 113-125. Differential operators on Hermite Sobolev spaces · Suprio Bhar B Rajeev · More Details Abstract Fulltext PDF. In this paper, we compute the Hilbert ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences. MOHAMED KHALIL ZGHAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 13 Research Article. Sharp Adams-type inequality invoking Hardy inequalities · MOHAMED KHALIL ZGHAL · More Details Abstract Fulltext PDF.
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Home; Journals; Proceedings – Mathematical Sciences. K B Sinha. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 2 May 2001 pp 179-201. Spectra of Anderson Type Models with Decaying Randomness · M Krishna K B Sinha · More Details Abstract Fulltext PDF. In this paper we consider some ...
University Science and Mathematics Education in Transition
DEFF Research Database (Denmark)
Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn
configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...
The Vector Space as a Unifying Concept in School Mathematics.
Riggle, Timothy Andrew
The purpose of this study was to show how the concept of vector space can serve as a unifying thread for mathematics programs--elementary school to pre-calculus college level mathematics. Indicated are a number of opportunities to demonstrate how emphasis upon the vector space structure can enhance the organization of the mathematics curriculum.…
Concept mapping learning strategy to enhance students' mathematical connection ability
Hafiz, M.; Kadir, Fatra, Maifalinda
2017-05-01
The concept mapping learning strategy in teaching and learning mathematics has been investigated by numerous researchers. However, there are still less researchers who have scrutinized about the roles of map concept which is connected to the mathematical connection ability. Being well understood on map concept, it may help students to have ability to correlate one concept to other concept in order that the student can solve mathematical problems faced. The objective of this research was to describe the student's mathematical connection ability and to analyze the effect of using concept mapping learning strategy to the students' mathematical connection ability. This research was conducted at senior high school in Jakarta. The method used a quasi-experimental with randomized control group design with the total number was 72 students as the sample. Data obtained through using test in the post-test after giving the treatment. The results of the research are: 1) Students' mathematical connection ability has reached the good enough level category; 2) Students' mathematical connection ability who had taught with concept mapping learning strategy is higher than who had taught with conventional learning strategy. Based on the results above, it can be concluded that concept mapping learning strategycould enhance the students' mathematical connection ability, especially in trigonometry.
Construction of the mathematical concept of pseudo thinking students
Anggraini, D.; Kusmayadi, T. A.; Pramudya, I.
2018-05-01
Thinking process is a process that begins with the acceptance of information, information processing and information calling in memory with structural changes that include concepts or knowledges. The concept or knowledge is individually constructed by each individual. While, students construct a mathematical concept, students may experience pseudo thinking. Pseudo thinking is a thinking process that results in an answer to a problem or construction to a concept “that is not true”. Pseudo thinking can be classified into two forms there are true pseudo and false pseudo. The construction of mathematical concepts in students of pseudo thinking should be immediately known because the error will have an impact on the next construction of mathematical concepts and to correct the errors it requires knowledge of the source of the error. Therefore, in this article will be discussed thinking process in constructing of mathematical concepts in students who experience pseudo thinking.
Berlin, Donna F., Ed.
The integration of mathematics and science is not a new concept. However, during recent years it has been a major focus in education reform. A Wingspread conference promoted discussion regarding the integration of mathematics and science and explored ways to improve science and mathematics education in grades K-12. Papers from the conference…
Introduction to mathematical physics methods and concepts
Wong, Chun Wa
2013-01-01
Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages...
Misu, La; Ketut Budayasa, I.; Lukito, Agung
2018-03-01
This study describes the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. The metacognition profile is a natural and intact description of a person’s cognition that involves his own thinking in terms of using his knowledge, planning and monitoring his thinking process, and evaluating his thinking results when understanding a concept. The purpose of this study was to produce the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. This research method is explorative method with the qualitative approach. The subjects of this study are mathematics and mathematics education students who have studied integral calculus. The results of this study are as follows: (1) the summarizing category, the mathematics and mathematics education students can use metacognition knowledge and metacognition skills in understanding the concept of indefinite integrals. While the definite integrals, only mathematics education students use metacognition skills; and (2) the explaining category, mathematics students can use knowledge and metacognition skills in understanding the concept of indefinite integrals, while the definite integrals only use metacognition skills. In addition, mathematics education students can use knowledge and metacognition skills in understanding the concept of both indefinite and definite integrals.
McHugh, Luisa
2016-01-01
Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…
Kjeldsen, Tinne Hoff; Lützen, Jesper
2015-07-01
In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.
History of mathematics and history of science.
Mann, Tony
2011-09-01
This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic careers open to practitioners have had a profound effect on the discipline, leading to a focus on elite mathematics and great mathematicians. More recently, reflecting earlier developments in the history of science, an increased interest in the context and culture of the practice of mathematics has become evident.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 3. Volume 115, Issue 3. August 2005, pages 241-369. pp 241-249. Some Properties of ... with some properties which are mathematically and statistically interesting. pp 251-257. Homeomorphisms and the Homology of Non-Orientable Surfaces.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 3. On Totally Reducible Binary Forms: I ... Author Affiliations. C Hooley1. School of Mathematics, Cardiff University, Senghennydd Road, PO Box 926, Cardiff CF24 4YH, UK ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 4. Yoneda algebras of almost Koszul algebras. Zheng Lijing. Volume 125 Issue 4 November 2015 ... Author Affiliations. Zheng Lijing1. School of Mathematics and Physics, University of South China, Hengyang, Hunan, People's Republic of China ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 2. Principal Bundles whose Restrictions to a Curve are Isomorphic. Sudarshan ... Author Affiliations. Sudarshan Rajendra Gurjar1. School of Mathematics, Tata Institute of Fundamental Research, Dr Homi Bhabha Road, Mumbai 400 005, India ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 3. The Atiyah Bundle and Connections on a Principal Bundle. Indranil Biswas. Volume 120 Issue 3 ... Author Affiliations. Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. Large Time Behaviour of Solutions of a System of Generalized Burgers Equation. K T Joseph ... Author Affiliations. K T Joseph1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 1. Representability of Hom Implies Flatness. Nitin Nitsure. Volume 114 Issue 1 February 2004 pp 7-14 .... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. A Note on Conjugacy Classes of Finite Groups. Hemant Kalra Deepak Gumber. Volume 124 ... Author Affiliations. Hemant Kalra1 Deepak Gumber1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. On some Frobenius Restriction Theorems for Semistable Sheaves. V B Mehta V Trivedi ... Author Affiliations. V B Mehta1 V Trivedi1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 2. Sign (di)Lemma for Dimension Shifting. Nitin Nitsure. Volume 119 Issue 2 April 2009 pp 179-186 ... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. One-Parameter Family of Solitons from Minimal Surfaces. Rukmini Dey Pradip Kumar. Volume 123 Issue 1 ... Author Affiliations. Rukmini Dey1 Pradip Kumar1. School of Mathematics, Harish Chandra Research Institute, Allahabad 211 019, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. The Weierstrass–Enneper Representation using Hodographic Coordinates on a Minimal Surface. Rukmini Dey. Volume ... Author Affiliations. Rukmini Dey1. School of Mathematics, Harish-Chandra Research Institute, Allahabad 211 019, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Some Remarks on the Local Fundamental Group Scheme. V B Mehta S ... Author Affiliations. V B Mehta1 S Subramanian1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 1. Limits of Commutative Triangular Systems on Locally Compact Groups. Riddhi Shah. Volume 111 ... Author Affiliations. Riddhi Shah1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. On Cohomology Theory for Topological Groups. Arati S Khedekar C S Rajan ... Author Affiliations. Arati S Khedekar1 C S Rajan1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. On the Orders of Finite Semisimple Groups. Shripad M Garge. Volume 115 Issue 4 November 2005 pp 411- .... Author Affiliations. Shripad M Garge1. School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai 400 005, India ...
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Author Affiliations. Jung Rye Lee1 Choonkil Park2 Dong Yun Shin3. Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea; Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea; Department of Mathematics, University of Seoul, Seoul 130-743, Korea ...
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Author Affiliations. Dumitru Popa1. Department of Mathematics, University of Constanta, Bd. Mamaia 124, 8700 Constanta, Romania. Dates. Manuscript received: 21 January 2008; Manuscript revised: 20 June 2008. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1
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Arne Jensen1 Gheorghe Nenciu2 3. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark; Department of Theoretical Physics, University of Bucharest, P. O. Box MG11, 76900 Bucharest, Romania; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, ...
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Author Affiliations. Radu Ioan Boţ1 Anca Dumitru2 Gert Wanka1. Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany; Faculty of Mathematics and Computer Science, Babes¸-Bolyai University, Str. Kog˜alniceanu nr. 1, 400084 Cluj-Napoca, Romania ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 2. Nonfiniteness of Hilbert–Kunz functions. V TRIVEDI. Research Article Volume 127 Issue 2 April 2017 ... Author Affiliations. V TRIVEDI1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Boundedness of Composition of Operators Associated with Different Homogeneities on Weighted Besov and ... Author Affiliations. Xinfeng Wu1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China ...
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Author Affiliations. Jiangtao Shi1 Cui Zhang1 2. School of Mathematics and Information Science, Yantai University, Yantai 264005, China; University of Primorska, IAM, Muzejski trg 2, 6000 Koper, Slovenia ...
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dimensional stochastic Navier–Stokes equations in the presence of delays. The results extend some of the existing results. Author Affiliations. Huabin Chen1. Department of Mathematics, School of Science, Nanchang University, Nanchang 330031, ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 3 ... method on BSDEs with non-uniformly Lipschitz coefficients and its applications ... School of Statistics, Qufu Normal University, Qufu, Shandong 273165, China ...
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2. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Academiei Str., 14, 010014, Romania; Technical University of Civil Engineering, Bucharest, Lacul Tei Blvd., 122-124, 020396, Romania ...
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. Articles written in Proceedings – Mathematical Sciences. Volume 121 Issue 1 February 2011 pp 93-109. Analysis of a Malaria Model with Mosquito-Dependent Transmission Coefficient for Humans · G C Hazarika Anuradha Bhattacharjee.
History of mathematics and history of science
Mann, Tony
2011-01-01
This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic\\ud careers open to practitioners have had a profoun...
Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.
2017-11-01
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.
Applied Mathematics, Modelling and Computational Science
Kotsireas, Ilias; Makarov, Roman; Melnik, Roderick; Shodiev, Hasan
2015-01-01
The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26–30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics ...
Foundations and fundamental concepts of mathematics
Eves, Howard
1997-01-01
Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.
Mathematics for engineering, technology and computing science
Martin, Hedley G
1970-01-01
Mathematics for Engineering, Technology and Computing Science is a text on mathematics for courses in engineering, technology, and computing science. It covers linear algebra, ordinary differential equations, and vector analysis, together with line and multiple integrals. This book consists of eight chapters and begins with a discussion on determinants and linear equations, with emphasis on how the value of a determinant is defined and how it may be obtained. Solution of linear equations and the dependence between linear equations are also considered. The next chapter introduces the reader to
The Teachers Academy for Mathematics and Science
Energy Technology Data Exchange (ETDEWEB)
1992-01-01
In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President's goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.
Games in the mathematics curriculum: Some conceptions and ...
African Journals Online (AJOL)
Games in the mathematics curriculum: Some conceptions and experiences of teachers in the Upper West Region of Ghana. ... The study investigated primary school teachers' experiences with games as ... AJOL African Journals Online.
Mathematical concepts of quantum mechanics. 2. ed.
International Nuclear Information System (INIS)
Gustafson, Stephen J.; Sigal, Israel Michael
2011-01-01
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. (orig.)
Integrating Mathematics and Science: Ecology and Venn Diagrams
Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca
2014-01-01
Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…
Properties of mathematical objects (Goedel on classes, properties and concepts)
International Nuclear Information System (INIS)
Materna, Pavel
2007-01-01
In terms of a sufficiently fine-grained theory we should distinguish between classes, properties and concepts. Since properties are best modeled as a kind of non-trivial intensions while mathematical objects are never non-trivial intensions we should not speak about properties of mathematical objects. When we do use the term property in mathematics (as Goedel did) we either mean classes, or the more fine-grained entities to be called concepts. In the latter case concepts have to be defined so that various distinct concepts could identify one and the same object. The notion of construction in transparent intensional logic makes it possible to construe concepts as abstract procedures. At the same time we have to distinguish between this notion and the notion of construction in constructivist systems: the former - unlike the latter - are objective and, therefore, acceptable for a realist
National Center for Mathematics and Science - publications
: Designing Statistics Instruction for Middle School Students Summer 2003: Algebraic Skills and Strategies for newsletter cover The National Center for Research in Mathematical Sciences Education (NCRMSE) (1987-1995 -Level Reform Fall 1993: Assessment Models Winter 1994: Reforming Geometry Spring 1994: Statistics and
Sharpen Your Skills: Mathematics and Science Braille.
Eulert, Von E.; Cohn, Doris
1984-01-01
Three articles about mathematics and science braille are provided for braille transcribers and teachers of the visually handicapped. The first article discusses common problems such as setting braille writers incorrectly, duplicating transcribed materials unnecessarily, and incorrectly transcribing from typescript. The second article provides a…
Improving students’ understanding of mathematical concept using maple
Ningsih, Y. L.; Paradesa, R.
2018-01-01
This study aimed to improve students’ understanding of mathematical concept ability through implementation of using Maple in learning and expository learning. This study used a quasi-experimental research with pretest-posttest control group design. The sample on this study was 61 students in the second semester of Mathematics Education of Universitas PGRI Palembang, South Sumatera in academic year 2016/2017. The sample was divided into two classes, one class as the experiment class who using Maple in learning and the other class as a control class who received expository learning. Data were collective through the test of mathematical initial ability and mathematical concept understanding ability. Data were analyzed by t-test and two ways ANOVA. The results of this study showed (1) the improvement of students’ mathematical concept understanding ability who using Maple in learning is better than those who using expository learning; (2) there is no interaction between learning model and students’ mathematical initial ability toward the improvement of students’ understanding of mathematical concept ability.
Prospective Mathematics Teachers' Understanding of the Base Concept
Horzum, Tugba; Ertekin, Erhan
2018-01-01
The purpose of this study is to analyze what kind of conceptions prospective mathematics teachers (PMTs) have about the base concept (BC). One-hundred and thirty-nine PMTs participated in the study. In this qualitative research, data were obtained through open-ended questions, the semi-structured interviews and pictures of geometric figures drawn…
Students' Conceptions of Function Transformation in a Dynamic Mathematical Environment
Daher, Wajeeh; Anabousy, Ahlam
2015-01-01
The study of function transformations helps students understand the function concept which is a basic and main concept in mathematics, but this study is problematic to school students as well as college students, especially when transformations are performed on non-basic functions. The current research tried to facilitate grade 9 students'…
Learning mathematics concepts in a traditional socio-culture ...
African Journals Online (AJOL)
Abstract. This paper argues that each culture has its unique applications of mathematical concepts. It presents this argument by showing how the Great Zimbabwe Monument that was built between the 12th and 14th century applied some geometrical concepts that some secondary school students in Zimbabwe find difficult ...
African Journal of Educational Studies in Mathematics and Sciences ...
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Journal Home > African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Log in or Register to get access to full text downloads.
The Science of Sex Differences in Science and Mathematics
Halpern, Diane F.; Benbow, Camilla P.; Geary, David C.; Gur, Ruben C.; Hyde, Janet Shibley; Gernsbacher, Morton Ann
2014-01-01
Summary Amid ongoing public speculation about the reasons for sex differences in careers in science and mathematics, we present a consensus statement that is based on the best available scientific evidence. Sex differences in science and math achievement and ability are smaller for the mid-range of the abilities distribution than they are for those with the highest levels of achievement and ability. Males are more variable on most measures of quantitative and visuospatial ability, which necessarily results in more males at both high- and low-ability extremes; the reasons why males are often more variable remain elusive. Successful careers in math and science require many types of cognitive abilities. Females tend to excel in verbal abilities, with large differences between females and males found when assessments include writing samples. High-level achievement in science and math requires the ability to communicate effectively and comprehend abstract ideas, so the female advantage in writing should be helpful in all academic domains. Males outperform females on most measures of visuospatial abilities, which have been implicated as contributing to sex differences on standardized exams in mathematics and science. An evolutionary account of sex differences in mathematics and science supports the conclusion that, although sex differences in math and science performance have not directly evolved, they could be indirectly related to differences in interests and specific brain and cognitive systems. We review the brain basis for sex differences in science and mathematics, describe consistent effects, and identify numerous possible correlates. Experience alters brain structures and functioning, so causal statements about brain differences and success in math and science are circular. A wide range of sociocultural forces contribute to sex differences in mathematics and science achievement and ability—including the effects of family, neighborhood, peer, and school
National Center for Mathematics and Science - links to related sites
Mathematics and Science (NCISLA) HOME | WHAT WE DO | K-12 EDUCATION RESEARCH | PUBLICATIONS | TEACHER Modeling Middle School Mathematics National Association of Biology Teachers National Association for Mathematics National Science Teachers Assocation Show-Me Center Summit on Science TERC - Weaving Gender Equity
Kaspar Schott's "encyclopedia of all mathematical sciences"
Knobloch, Eberhard
2011-06-01
In 1661, Kaspar Schott published his comprehensive textbook "Cursus mathematicus" in Würzburg for the first time, his "Encyclopedia of all mathematical sciences". It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and numerous tables. He wanted to avoid the shortness and the unintelligibility of his predecessors Alsted and Hérigone. He cited or recommended far more than hundred authors, among them Protestants like Michael Stifel and Johannes Kepler, but also Catholics like Nicolaus Copernicus. The paper gives a survey of this work and explains especially interesting aspects: The dedication to the German emperor Leopold I., Athanasius Kircher's letter of recommendation as well as Schott's classification of sciences, explanations regarding geometry, astronomy, and algebra.
Using Mental Imagery Processes for Teaching and Research in Mathematics and Computer Science
Arnoux, Pierre; Finkel, Alain
2010-01-01
The role of mental representations in mathematics and computer science (for teaching or research) is often downplayed or even completely ignored. Using an ongoing work on the subject, we argue for a more systematic study and use of mental representations, to get an intuition of mathematical concepts, and also to understand and build proofs. We…
Mathematical modelling in engineering: A proposal to introduce linear algebra concepts
Directory of Open Access Journals (Sweden)
Andrea Dorila Cárcamo
2016-03-01
Full Text Available The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasize the development of mathematical abilities primarily associated with modelling and interpreting, which aren´t limited only to calculus abilities. Considering this, an instructional design was elaborated based on mathematic modelling and emerging heuristic models for the construction of specific linear algebra concepts: span and spanning set. This was applied to first year engineering students. Results suggest that this type of instructional design contributes to the construction of these mathematical concepts and can also favour first year engineering students understanding of key linear algebra concepts and potentiate the development of higher order skills.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
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Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 1. Issue front cover thumbnail. Volume 120, Issue 1. February 2010, pages 1-130. pp 1-6. On the General Dedekind Sums and its Reciprocity Formula · Yuan Yi · More Details Abstract Fulltext PDF. In this paper, we prove an interesting reciprocity ...
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Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1. Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...
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Author Affiliations. GUANGYUE HUANG1 2 BINGQING MA1 2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, People's Republic of China; Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Xinxiang 453007, People's Republic of China ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 4. Issue front cover thumbnail .... On the Affine Isoperimetric Inequalities · Wuyang Yu Gangsong ... On the Existence of Hydrodynamic Instability in Single Diffusive Bottom Heavy Systems with Permeable Boundaries · A K Gupta R G Shandil.
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Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 3. Issue front cover thumbnail. Volume 122, Issue 3. August 2012, pages 313-484. pp 313-317. On the Dimension of Chowla–Milnor Space · Tapas Chatterjee · More Details .... Isoperimetric Upper Bounds for the First Eigenvalue · G Santhanam.
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Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 3. Issue front cover thumbnail. Volume 118, Issue 3. August 2008, pages 321-494. pp 321-350. Sharp Bounds on the Ranks of Negativity of Certain Sums · Torben Maack Bisgaard · More Details Abstract Fulltext PDF. If is a complex vector space ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 2. A Variational Proof for the Existence of a Conformal Metric with Preassigned Negative Gaussian Curvature for Compact Riemann Surfaces of Genus >1. Rukmini Dey. Erratum Volume 114 Issue 2 May 2004 pp 215-215 ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 2. Volume 126, Issue 2. May 2016, pages 143-287. pp 143-151 Research Article. Existence of ..... pp 253-260 Research Article. Rigidity theorem forWillmore surfaces in a sphere · Hongwei Xu Dengyun Yang · More Details Abstract Fulltext PDF.
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Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. Issue front cover thumbnail. Volume 122, Issue 1. February 2012, pages 1-152. pp 1-13. On a Paper of S S Pillai · M Ram Murty R Thangadurai · More Details Abstract Fulltext PDF. In 1935, Erdös proved that all natural numbers can be written as ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 2. Issue front cover thumbnail. Volume 125, Issue 2. May 2015, pages 139-270. pp 139-147. On Erdős–Wood's conjecture · S Subburam R Thangadurai · More Details Abstract Fulltext PDF. In this article, we prove that infinite number of integers ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 2. Issue front cover thumbnail. Volume 120, Issue 2. April 2010, pages 131-258. pp 131-137. Integral Inequalities for Self-Reciprocal Polynomials · Horst Alzer · More Details Abstract Fulltext PDF. Let n ≥ 1 be an integer and let P n be the class of ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 2. Issue front cover thumbnail. Volume 117, Issue 2. May 2007, pages 147-285. pp 147-158. A Variant of Davenport's Constant · R Thangadurai · More Details Abstract Fulltext PDF. Let be a prime number. Let be a finite abelian -group of ...
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... Motreanu2 Nikolaos S Papageorgiou3. Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072 Cracow, Poland; Département de Mathematiques, Université de Perpignan, 66860 Perpignan, France; Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Issue front cover thumbnail. Volume 118, Issue 2. May 2008, pages 159-320. pp 159-160. Note on Plagiarism · Gadadhar Misra N Mukunda · More Details Fulltext PDF. pp 161-182 Invited Article. Large Deviations: An Introduction to 2007 Abel ...
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Author Affiliations. Dongmei Ren1 Yaming Lu2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, People's Republic of China ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 1. Issue front cover thumbnail. Volume 121, Issue 1. February 2011, pages 1-109. pp 1-18. On Counting Twists of a Character Appearing in its Associated Weil Representation · K Vishnu Namboothiri · More Details Abstract Fulltext PDF. Consider an ...
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On some Vongruence with Application to Exponential Sums. Soon-Mo ... Moreover, we introduce an application of the above result to the study of an estimation of exponential sums. Author Affiliations. Soon-Mo Jung1. Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701 Chochiwon, Korea ...
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In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem. Author Affiliations. H Hudzik1 Rajeev Kumar2 Romesh Kumar2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University ...
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... Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. The Cohomology of Orbit Spaces of Certain Free Circle Group Actions. Hemant Kumar Singh Tej Bahadur Singh.
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Annual Meetings · Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 3. Volume 112, Issue 3. August 2002, pages 367-475. pp 367-382. The Determinant Bundle on the ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 3. Issue front cover thumbnail. Volume 119, Issue 3. June 2009, pages 267-410. pp 267-274. A Finer Classification of the Unit Sum Number of the Ring of Integers of Quadratic Fields and Complex Cubic Fields · Nahid Ashrafi · More Details Abstract ...
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Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...
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In the process, we prove an analogue of the well-known Fefferman–Stein's ... Department of Mathematics, Indian Institute of Science Education and ... Manuscript received: 27 October 2015; Manuscript revised: 12 September ... Early published: Unedited version published online: Final version published online: 23 July 2016 ...
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... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Vector-Valued almost Convergence and Classical Properties in Normed Spaces. A Aizpuru R Armario F J Garcia-Pacheco F J Perez-Fernandez. Volume 124 Issue 1 February 2014 pp 93-108 ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 3. Volume 113, Issue 3. August 2003, pages 213-353. pp 213-221. Analogues of Euler and Poisson Summation Formulae · Vivek V Rane · More Details Abstract Fulltext PDF. Euler–Maclaurin and Poisson analogues of the summations ∑ a < n ≤ b ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Issue front cover thumbnail. Volume 124, Issue 1. February 2014, pages 1-126. pp 1-15. Alexander Duals of Multipermutohedron Ideals · Ajay Kumar Chanchal Kumar · More Details Abstract Fulltext PDF. An Alexander dual of a ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 1. Volume 116, Issue 1. February 2006, pages 1-119. pp 1-8 .... in probability but for which no r.c.l.l. solution exists. pp 97-119. Formulation of the Problem of Sonic Boom by a Maneuvering Aerofoil as a One-Parameter Family of Cauchy Problems.
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Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Issue front cover thumbnail. Volume 123, Issue 2. May 2013, pages 151-302. pp 151- ... Distribution of Residues and Primitive Roots ..... Series Solutions and a Perturbation Formula for the Extended Rayleigh Problem of Hydrodynamic Stability.
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Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...
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Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. On the Local ... Let be a local field with finite residue class field k K . We first define (cf. Definition ..... We then discuss the application of Theorem 1.2 on a problem posed by Weil on the construction of a `natural' A G of over C (Problem 1.3).
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 3. Issue front cover thumbnail. Volume 117, Issue 3. August 2007, pages 287-427. pp 287-292. On the Cohomology of Orbit Space of Free Z Z p -Actions on Lens Spaces · Hemant Kumar Singh Tej Bahadur Singh · More Details Abstract Fulltext PDF.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. Issue front cover thumbnail. Volume 119, Issue 1. February 2009, pages 1-135. pp 1-7. On an Extension of a Combinatorial Identity · M Rana A K Agarwal · More Details Abstract Fulltext PDF. Using Frobenius partitions we extend the main results ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 128; Issue 1. Issue front cover thumbnail. Volume 128, Issue 1. March 2018. Article ID 1 Research Article. Editorial · More Details Abstract Fulltext PDF. Article ID 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3. On a problem of Pillai with Fibonacci numbers and powers of 2. MAHADI DDAMULIRA FLORIAN LUCA MIHAJA RAKOTOMALALA. Research Article Volume 127 Issue 3 June 2017 pp 411-421 ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 2. Issue front cover thumbnail. Volume 124, Issue 2. May 2014, pages 127-279. pp 127-140. A Statistic on -Color Compositions and Related Sequences · Toufik Mansour Mark Shattuck · More Details Abstract Fulltext PDF. A composition of a ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. Issue front cover thumbnail. Volume 122, Issue 2. May 2012, pages 153-311. pp 153-162. Farey Sequences and Resistor Networks · Sameen Ahmed Khan · More Details Abstract Fulltext PDF. In this article, we employ the Farey sequence and ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 1. Issue front cover thumbnail. Volume 118, Issue 1. February 2008, pages 1-157. pp 1-11. On Automorphisms of some Finite -Groups · Manoj K Yadav · More Details Abstract Fulltext PDF. We give a sufficient condition on a finite -group of ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. Issue front cover thumbnail. Volume 123, Issue 1. February 2013, pages 1-150. pp 1-18. Divisibility of Class Numbers of Imaginary Quadratic Function Fields by a Fixed Odd Number · Pradipto Banerjee Srinivas Kotyada · More Details Abstract ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 4. An Optimal Version of an Inequality Involving the Third Symmetric Means. Wen Jiajin Yuan Jun Yuan Shufeng. Volume 118 Issue 4 November ... Keywords. Third symmetric mean of degree; optimal values; inequality; descending dimension method.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 4. Contributions to a conjecture of Mueller and Schmidt on Thue inequalities. N SARADHA DIVYUM SHARMA. Research Article Volume 127 Issue 4 September 2017 pp 565- ...
Science and mathematics teaching through local games in preschools of Botswana
Directory of Open Access Journals (Sweden)
Kabita Bose
2016-11-01
Full Text Available This article presents a study regarding preschool teachers’ skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers’ knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these concepts in preschools. A qualitative approach was adopted, and a case study method was used. Data were collected through two workshops and focus group discussions with preschool teachers. The study revealed that the preschool teachers had content knowledge, but lacked pedagogical knowledge that is crucial in teaching of preschool children, and they provided science and mathematics experiences in preschools scarcely. A resource book of 33 local games and rhymes thus was developed as a support material to empower the teachers with skills and competencies to use play to teach science and mathematics in preschools. The resource book developed consists of 33 local games/rhymes and is packaged with the games’ illustrations, steps and rules followed in the games, science and mathematics concepts and competencies that could be taught to children, along with probing questions that would help in teaching of science and mathematics concepts to children.
Computer Science Concept Inventories: Past and Future
Taylor, C.; Zingaro, D.; Porter, L.; Webb, K. C.; Lee, C. B.; Clancy, M.
2014-01-01
Concept Inventories (CIs) are assessments designed to measure student learning of core concepts. CIs have become well known for their major impact on pedagogical techniques in other sciences, especially physics. Presently, there are no widely used, validated CIs for computer science. However, considerable groundwork has been performed in the form…
Mathematical knowledge in teaching of fraction concepts using diagrammatical approach
Veloo, Palanisamy Kathir; Puteh, Marzita
2017-05-01
Teachers need various types of knowledge in order to deliver various fraction concepts at elementary level. In this paper, Balls' framework (2008) or, Mathematical Knowledge for Teaching (MKT) is used as benchmark guideline. This paper investigates and explores component of MKT knowledge among eight experienced teachers of the primary school. Data was collected using paper pencil test, interview and video recording. This paper, narrowed to teacher's knowledge and their practices while teaching of various fractions concepts using diagrammatical approach in present of MKT. The data gathered from teachers were analyzed using thematic analysis techniques. The results indicated that teachers lack various components of MKT knowledge as a proposal by various researchers and assumed that teaching as procedural more than enough due to lack of deep understanding of mathematics and the various types of MKT is not required due to the present of practices in the mathematics classroom.
Undergraduate Mathematics Students' Understanding of the Concept of Function
Bardini, Caroline; Pierce, Robyn; Vincent, Jill; King, Deborah
2014-01-01
Concern has been expressed that many commencing undergraduate mathematics students have mastered skills without conceptual understanding. A pilot study carried out at a leading Australian university indicates that a significant number of students, with high tertiary entrance ranks, have very limited understanding of the concept of function,…
Irawan, Adi; Mardiyana; Retno Sari Saputro, Dewi
2017-06-01
This research is aimed to find out the effect of learning model towards learning achievement in terms of students’ logical mathematics intelligences. The learning models that were compared were NHT by Concept Maps, TGT by Concept Maps, and Direct Learning model. This research was pseudo experimental by factorial design 3×3. The population of this research was all of the students of class XI Natural Sciences of Senior High School in all regency of Karanganyar in academic year 2016/2017. The conclusions of this research were: 1) the students’ achievements with NHT learning model by Concept Maps were better than students’ achievements with TGT model by Concept Maps and Direct Learning model. The students’ achievements with TGT model by Concept Maps were better than the students’ achievements with Direct Learning model. 2) The students’ achievements that exposed high logical mathematics intelligences were better than students’ medium and low logical mathematics intelligences. The students’ achievements that exposed medium logical mathematics intelligences were better than the students’ low logical mathematics intelligences. 3) Each of student logical mathematics intelligences with NHT learning model by Concept Maps has better achievement than students with TGT learning model by Concept Maps, students with NHT learning model by Concept Maps have better achievement than students with the direct learning model, and the students with TGT by Concept Maps learning model have better achievement than students with Direct Learning model. 4) Each of learning model, students who have logical mathematics intelligences have better achievement then students who have medium logical mathematics intelligences, and students who have medium logical mathematics intelligences have better achievement than students who have low logical mathematics intelligences.
Politicizing science: conceptions of politics in science and technology studies.
Brown, Mark B
2015-02-01
This essay examines five ideal-typical conceptions of politics in science and technology studies. Rather than evaluating these conceptions with reference to a single standard, the essay shows how different conceptions of politics serve distinct purposes: normative critique, two approaches to empirical description, and two views of democracy. I discuss each conception of politics with respect to how well it fulfills its apparent primary purpose, as well as its implications for the purpose of studying a key issue in contemporary democratic societies: the politicization of science. In this respect, the essay goes beyond classifying different conceptions of politics and also recommends the fifth conception as especially conducive to understanding and shaping the processes whereby science becomes a site or object of political activity. The essay also employs several analytical distinctions to help clarify the differences among conceptions of politics: between science as 'political' (adjective) and science as a site of 'politics' (noun), between spatial-conceptions and activity-conceptions of politics, between latent conflicts and actual conflicts, and between politics and power. The essay also makes the methodological argument that the politics of science and technology is best studied with concepts and methods that facilitate dialogue between actors and analysts. The main goal, however, is not to defend a particular view of politics, but to promote conversation on the conceptions of politics that animate research in social studies of science and technology.
Information for Authors | Proceedings â€“ Mathematical Sciences ...
Indian Academy of Sciences (India)
Home; Journals; Proceedings â€“ Mathematical Sciences; Information for Authors ... 4 to 6 November 2016 at Indian Institute of Science Education and Research, Bhopal. ... Focus Area Science Technology Summer Fellowship (FAST-SF).
THE CONCEPT OF SENCE IN THE WORLD, METAPHYSICS AND SCIENCE
Directory of Open Access Journals (Sweden)
Michal Sicinski
2007-01-01
Full Text Available The notion of objective sense is commonly used in various contexts, and is also frequently misused. It has been often criticised in the context of natural sciences during the last 200 years - the period of positivistically oriented science. In the ancient Greek philosophy the problem of Nature possessing its own sense was stressed, and from the problem the first germs of science started in the Ionic and Pythagorean schools. Contrary to that, Aristotelean approach initiated the positivist tradition which banned from science the question of Nature as possessing an internal sense, and the scholastics introduced a concept of Nature's sense being not intrinsic but granted to it by the divine action. The mathematisation of physics caused that the the divine action started to be interpreted as "mathematical", and in consequence, the sense of Nature was seen as expressed by mathematics. Later on, this mathematically expressed sense of Nature, as seen in physical theories, started to be perceived as independent from God and having not much to as supernatural: inside the mathematical science there was no place for any anthropomorphic Creators.Recently, however when in the newest physics the mathematical structures have already been perceived not only as a language but also as a kind of ultimate reality, a place for quasi-religious feeling of mystery hidden in these structures has been welcome. It means that within the field of modern physical theories there is no place for the traditional religious concepts, but there is a place for a kind of mystics of objective mathematics in the Pythagorean style, related to the modern "new spirituality" mysticism.The situation is completely different in the area of less mathematised branches like biology. The tensions between science and religion are strong there, and the alternative is as follows: traditional religiousness versus traditional atheism, but not a neutral science separated from religion versus a non
African Journal of Educational Studies in Mathematics and Sciences ...
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences. ... on senior high school students' proficiency in solving linear equation word problems ... from parents and teachers' influence on students' mathematics-related self-beliefs ...
Science, Engineering, Mathematics and Aerospace Academy
1997-01-01
This is an annual report on the Science, Engineering, Mathematics, and Aerospace Academy (SEMAA), which is run as a collaborative effort of NASA Lewis Research Center, and Cuyahgoga Community College. The purpose of SEMA is to increase the percentage of African Americans, and Hispanics in the fields of science and technology. The SEMAA program reaches from kindergarden, to grade 12, involving the family of under-served minorities in the education of the children. The year being reported (i.e., 1996-1997) saw considerable achievement. The program served over 1,939 students, and 120 parents were involved in various seminars. The report goes on to review the program and its implementation for each grade level. It also summarizes the participation, by gender and ethnicity.
Relationship between affect and achievement in science and mathematics in Malaysia and Singapore
Thoe Ng, Khar; Fah Lay, Yoon; Areepattamannil, Shaljan; Treagust, David F.; Chandrasegaran, A. L.
2012-11-01
Background : The Trends in International Mathematics and Science Study (TIMSS) assesses the quality of the teaching and learning of science and mathematics among Grades 4 and 8 students across participating countries. Purpose : This study explored the relationship between positive affect towards science and mathematics and achievement in science and mathematics among Malaysian and Singaporean Grade 8 students. Sample : In total, 4466 Malaysia students and 4599 Singaporean students from Grade 8 who participated in TIMSS 2007 were involved in this study. Design and method : Students' achievement scores on eight items in the survey instrument that were reported in TIMSS 2007 were used as the dependent variable in the analysis. Students' scores on four items in the TIMSS 2007 survey instrument pertaining to students' affect towards science and mathematics together with students' gender, language spoken at home and parental education were used as the independent variables. Results : Positive affect towards science and mathematics indicated statistically significant predictive effects on achievement in the two subjects for both Malaysian and Singaporean Grade 8 students. There were statistically significant predictive effects on mathematics achievement for the students' gender, language spoken at home and parental education for both Malaysian and Singaporean students, with R 2 = 0.18 and 0.21, respectively. However, only parental education showed statistically significant predictive effects on science achievement for both countries. For Singapore, language spoken at home also demonstrated statistically significant predictive effects on science achievement, whereas gender did not. For Malaysia, neither gender nor language spoken at home had statistically significant predictive effects on science achievement. Conclusions : It is important for educators to consider implementing self-concept enhancement intervention programmes by incorporating 'affect' components of academic
Babb, Jeff
2005-01-01
This paper examines the mathematical work of the French bishop, Nicole Oresme (c. 1323-1382), and his contributions towards the development of the concept of graphing functions and approaches to investigating infinite series. The historical importance and pedagogical value of his work will be considered in the context of an undergraduate course on…
Viewing Formal Mathematics from Yoruba Conception of the Sky
Segla, Aimé
2016-01-01
Yoruba Cosmology resembles a generative system at the foundation of concepts. The traditional thought, which derives from the reality of the identical pair incorporated from cosmology into real life, exemplifies all kind of existing knowledge, culture and practices. Previous studies by the author show in some detail the scientific interests in Yoruba cosmology. The present paper aims to view formal mathematics through the interpretation of Yoruba sky knowledge. It attempts to demonstrate tha...
78 FR 37590 - Advisory Committee for Mathematical and Physical Sciences #66; Notice of Meeting
2013-06-21
... Science Foundation and to provide advice and recommendations concerning research in mathematics and... NATIONAL SCIENCE FOUNDATION Advisory Committee for Mathematical and Physical Sciences 66; Notice... National Science Foundation announces the following meeting. Name: Advisory Committee for Mathematical and...
Basic concepts in social sciences I
Hoede, C.
2000-01-01
In this paper the results are given of an investigation into concepts from Economics, Organization Theory, Political Science, Psychology and Sociology. The goal of this investigation was to find out whether there is a set of concepts that may be considered to be basic to all these five social
Using Concept Maps in Political Science
Chamberlain, Robert P.
2015-01-01
Concept mapping is a pedagogical technique that was developed in the 1970s and is being used in K-12 and postsecondary education. Although it has shown excellent results in other fields, it is still rare in political science. In this research note, I discuss the implementation and testing of concept mapping in my Advanced Introduction to…
Nanna, Robert J.
2016-01-01
Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…
Preservice Science Teachers' Beliefs about Astronomy Concepts
Ozkan, Gulbin; Akcay, Hakan
2016-01-01
The purpose of this study was to investigate preservice science teachers' conceptual understanding of astronomy concepts. Qualitative research methods were used. The sample consists of 118 preservice science teachers (40 freshmen, 31 sophomores, and 47 juniors). The data were collected with Astronomy Conceptual Questionnaire (ACQ) that includes 13…
Mathematics education giving meaning to Social Science students
DEFF Research Database (Denmark)
Andersson, Annica; Valero, Paola
Compulsory mathematics for social science students is problematic. We discuss the case of a group of students in Sweden who met a mathematics course inspired on the ideas of critical mathematics education and ethnomathematics. The evidence collected about students' experiences on this course...
Research in Applied Mathematics, Fluid Mechanics and Computer Science
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.
[Research activities in applied mathematics, fluid mechanics, and computer science
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.
Mathematics, Physics and Computer Sciences The computation of ...
African Journals Online (AJOL)
Mathematics, Physics and Computer Sciences The computation of system matrices for biquadraticsquare finite ... Global Journal of Pure and Applied Sciences ... The computation of system matrices for biquadraticsquare finite elements.
Franklin, J
2014-01-01
Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Regaining the Edge in Urban Education: Mathematics and Sciences.
Gallon, Dennis P., Ed.
In order to remain competitive in the world economy, the United States must develop and improve mathematics and science education. Given that the future workforce in this country will be comprised largely of women and minorities, groups traditionally not entering mathematics and science careers, special recruitment and retention efforts must be…
Encouraging Creativity in Mathematics and Science through Photography
Munakata, Mika; Vaidya, Ashwin
2012-01-01
Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…
Teaching of Mathematics and Science in English: The Teachers' Voices
Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman
2009-01-01
The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…
The Influence of Reading Literacy on Mathematics and Science Achievement
Caponera, Elisa; Sestito, Paolo; Russo, Paolo M.
2016-01-01
The aim of this study was to evaluate the influence of students' reading literacy, measured by the PIRLS (Progress in International Reading Literacy Study) test, on their performance in the TIMSS (Trends in International Mathematics and Science Study) mathematics and science tests. The data on 4,125 Italian students from 199 schools were analyzed:…
Victorian Certificate of Education: Mathematics, Science and Gender
Cox, Peter J.; Leder, Gilah C.; Forgasz, Helen J.
2004-01-01
Gender differences in participation and performance at "high stakes" examinations have received much public attention, which has often focused on mathematics and science subjects. This paper describes the innovative forms of assessment introduced into mathematics and science subjects within the Victorian Certificate of Education (VCE)…
Science, Engineering, and Mathematics (SEM) at the Timbuktu Academy
2005-07-31
Science (AAAS) and the first Standards of the National Council of Teachers o f Mathematics ( NCTM ) both appeared in 1989 . They were followed by Scope...National Council of Teachers of Mathematics ( NCTM , 1989, 1991 , and 1995), Science for All Americans (Project 2061) and the Benchmarks of the America n...Documents, Mail Stop SSOP, Washington, DC, 20402-9328 . National Council of Teachers of Mathematics ( NCTM ) . Curriculum and Evaluation Standard s for School
McHugh, Luisa
Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to
Deonarain Brijlall; Sarah Bansilal; Deborah Moore-Russo
2012-01-01
This article reports on an exploration of teachers’ views on the meaning of mathematical representations in a democratic South Africa. We explored teachers’ conceptions of ‘mathematical representations’ as a means to promote dialogue and negotiation. These conceptions helped us to gauge how these teachers viewed representations in mathematics. Semi-structured questionnaires were administered to 76 high school mathematics teachers who were registered for an upgrading mathematics education...
Mathematical logic foundations for information science
Li, Wei
2010-01-01
This book presents the basic principles and formal calculus of mathematical logic. It covers core contents, extensions and developments of classical mathematical logic, and it offers formal proofs and concrete examples for all theoretical results.
A new direction in mathematics for materials science
Ikeda, Susumu
2015-01-01
This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for ...
Concepts of matter in science education
Sevian, Hannah
2013-01-01
Bringing together a wide collection of ideas, reviews, analyses and new research on particulate and structural concepts of matter, Concepts of Matter in Science Education informs practice from pre-school through graduate school learning and teaching and aims to inspire progress in science education. The expert contributors offer a range of reviews and critical analyses of related literature and in-depth analysis of specific issues, as well as new research. Among the themes covered are learning progressions for teaching a particle model of matter, the mental models of both students and teachers of the particulate nature of matter, educational technology, chemical reactions and chemical phenomena, chemical structure and bonding, quantum chemistry and the history and philosophy of science relating to the particulate nature of matter. The book will benefit a wide audience including classroom practitioners and student teachers at every educational level, teacher educators and researchers in science education.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India; Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Madhurawada, Visakhapatnam 530 048, India; Department of Mathematics, Sri Prakash College of Engineering, Tuni 533 401, India ...
Interest in mathematics and science among students having high mathematics aptitude
Ely, Jane Alice
The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.
Examining of Perceptions of Gifted Students toward Mathematics Concept
Directory of Open Access Journals (Sweden)
Mesut ÖZTÜRK
2014-12-01
Full Text Available The purpose of this study bring out owned intellectual image interested in mathematics concept of gifted students. Participant of twenty-eight gifted students that they selected via WISC-R intelligent test. A phenomenology design that one of qualitative research methods was adopted and data collection focus group interview. Data analysis consisted of content analysis. Students who participant made up different sixteen metaphor. The most widely used of them kainite. When examined justifications lie behind of metaphor gifted students have different three perception such as affected with people of math, influence toward math of the nature, the nature of math. The result of examine of math perception according to grade level when grade level increased, gifted students more interested the nature of math whereas depended on needed of people more interested math concept.
Bos, Floor/Floris; Terlouw, C.; Pilot, Albert
2009-01-01
In line with the cognitive theory of multimedia learning by Moreno and Mayer (2007), an interactive, multimodal learning environment was designed for the pretraining of science concepts in the joint area of physics, chemistry, biology, applied mathematics, and computer sciences. In the experimental
Physics and Mathematics as Interwoven Disciplines in Science Education
Galili, Igal
2018-03-01
The relationship between physics and mathematics is reviewed upgrading the common in physics classes' perspective of mathematics as a toolkit for physics. The nature of the physics-mathematics relationship is considered along a certain historical path. The triadic hierarchical structure of discipline-culture helps to identify different ways in which mathematics is used in physics and to appreciate its contribution, to recognize the difference between mathematics and physics as disciplines in approaches, values, methods, and forms. We mentioned certain forms of mathematical knowledge important for physics but often missing in school curricula. The geometrical mode of codification of mathematical knowledge is compared with the analytical one in context of teaching school physics and mathematics; their complementarity is exemplified. Teaching may adopt the examples facilitating the claims of the study to reach science literacy and meaningful learning.
The reasonable effectiveness of mathematics in the natural sciences
Harvey, Alex
2011-12-01
Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism—mathematics exists and is discovered; Logicism—all mathematics may be deduced through pure logic; Formalism—mathematics is just the manipulation of formulas and rules invented for the purpose; Intuitionism—mathematics comprises mental constructs governed by self evident rules. The debate among the several schools has major importance in understanding what Eugene Wigner called, The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In return, this `Unreasonable Effectiveness' suggests a possible resolution of the debate in favor of Realism. The crucial element is the extraordinary predictive capacity of mathematical structures descriptive of physical theories.
Toward using games to teach fundamental computer science concepts
Edgington, Jeffrey Michael
Video and computer games have become an important area of study in the field of education. Games have been designed to teach mathematics, physics, raise social awareness, teach history and geography, and train soldiers in the military. Recent work has created computer games for teaching computer programming and understanding basic algorithms. We present an investigation where computer games are used to teach two fundamental computer science concepts: boolean expressions and recursion. The games are intended to teach the concepts and not how to implement them in a programming language. For this investigation, two computer games were created. One is designed to teach basic boolean expressions and operators and the other to teach fundamental concepts of recursion. We describe the design and implementation of both games. We evaluate the effectiveness of these games using before and after surveys. The surveys were designed to ascertain basic understanding, attitudes and beliefs regarding the concepts. The boolean game was evaluated with local high school students and students in a college level introductory computer science course. The recursion game was evaluated with students in a college level introductory computer science course. We present the analysis of the collected survey information for both games. This analysis shows a significant positive change in student attitude towards recursion and modest gains in student learning outcomes for both topics.
Development of a Mathematics, Science, and Technology Education Integrated Program for a Maglev
Park, Hyoung Seo
2006-01-01
The purpose of the study was to develop an MST Integrated Program for making a Maglev hands-on activity for higher elementary school students in Korea. In this MST Integrated Program, students will apply Mathematics, Science, and Technology principles and concepts to the design, construction, and evaluation of a magnetically levitated vehicle. The…
A Network for Integrated Science and Mathematics Teaching and Learning. NCSTL Monograph Series, #2.
Berlin, Donna F.; White, Arthur L.
This monograph presents a summary of the results of the Wingspread Conference in April, 1991 concerning the viability and future of the concept of integration of mathematics and science teaching and learning. The conference focused on three critical issues: (1) development of definitions of integration and a rationale for integrated teaching and…
Dijksterhuis, Fokko J.
2004-01-01
In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of nature knowledge.
Core Support of the Board on Mathematical Sciences
Energy Technology Data Exchange (ETDEWEB)
None
1995-04-04
This proposal summarizes activities conducted by the Board on Mathematical Sciences (BMS) during the period August 1, 1994 to July 31, 1995 and describes future plans of the Board for the period August 1, 1995 to July 31, 1998. We are requesting core support in the amount of $105,000 ($35,000 each year) from the Department of Energy for the additional three-year period. The BMS activities supported exclusively by core funding are the annual Department Chairs Colloquia, the National Science and Technology Symposia, specific reports, the initiation of all projects, continuous oversight of all activities, and partial core support of the Committee on Applied and Theoretical Statistics (CATS). Other activities of the Board include giving recommendations on research directions to federal agencies, and reports on education in the mathematical sciences, interaction of mathematical sciences with other areas, health of the mathematical sciences, and emerging research directions.
Logic, mathematics, and computer science modern foundations with practical applications
Nievergelt, Yves
2015-01-01
This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focus is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so uni...
Arslan, Cigdem; Erbay, Hatice Nur; Guner, Pinar
2017-01-01
In the present study we try to highlight prospective mathematics teachers' ability to identify mistakes of sixth grade students related to angle concept. And also we examined prospective mathematics teachers' knowledge of angle concept. Study was carried out with 30 sixth-grade students and 38 prospective mathematics teachers. Sixth grade students…
Physics, Computer Science and Mathematics Division. Annual report, January 1-December 31, 1980
International Nuclear Information System (INIS)
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 + e - 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 πN 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
Physics, Computer Science and Mathematics Division. Annual report, January 1-December 31, 1980
Energy Technology Data Exchange (ETDEWEB)
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)
Directory of Open Access Journals (Sweden)
Nurullah YAZICI
2017-05-01
Full Text Available This research was conducted in order to examine the subject matter of Mathematics teachers in the context of "Mathematical Knowledge For Teaching" (MKT model of "Basic Concepts in Sets" which is the first topic of the 9th class "Sets". The study group, which is one of the qualitative research methods, used the case study design, constitutes 5 mathematics teachers who work in different education levels (primary and secondary education in the academic year of 2015-2016. Open-ended questions and semi-structured interview form developed by the researcher were used for data collection. A descriptive analysis technique was used to analyze the data obtained through interviews. While analyzing the data, teacher and student textbooks, which were prepared by the Ministry of National Education for the purpose of teaching in 2015-2016 academic year, were taken as a reference. According to the research findings, it was determined that the teachers had deficiencies in the subject field of "Basic Concepts in the Sets" and had superficial knowledge rather than in depth knowledge.
Teaching Mathematical Modelling for Earth Sciences via Case Studies
Yang, Xin-She
2010-05-01
Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).
Directory of Open Access Journals (Sweden)
Elida V. Laski
2015-06-01
Full Text Available Manipulatives are ubiquitous in early childhood classrooms; yet, findings regarding their efficacy for learning mathematics concepts are inconsistent. In this article, we present four general principles that have emerged from cognitive science about ways to ensure that manipulatives promote learning when used with young children. We also describe how Montessori instruction offers a concrete example of the application of these principles in practice, which may, in turn, explain the high levels of mathematics achievement among children who attend Montessori programs during early childhood. The general principles and concrete examples presented in this article should help early childhood programs maximize the benefits of using manipulatives for developmentally appropriate mathematics instruction.
Mathematics, Science and the Cambridge Tradition
Nuno Ornelas Martins
2012-01-01
Copyright © 2012 World Economics Association. In this paper the use of mathematics in economics will be discussed, by comparing two approaches to mathematics, a Cartesian approach, and a Newtonian approach. I will argue that while mainstream economics is underpinned by a Cartesian approach which led to a divorce between mathematics and reality, the contributions of key authors of the Cambridge tradition, like Marshall, Keynes and Sraffa, are characterised by a Newtonian approach to mathema...
Linking Teaching in Mathematics and the Subjects of Natural Science
DEFF Research Database (Denmark)
Michelsen, Claus
2017-01-01
teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...
Rudolph, Lee
2012-01-01
In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, in
Representation and productive ambiguity in mathematics and the sciences
Grosholz, Emily R
2007-01-01
Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read.
Mathematics and Computer Science: Exploring a Symbiotic Relationship
Bravaco, Ralph; Simonson, Shai
2004-01-01
This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…
CDM: Teaching Discrete Mathematics to Computer Science Majors
Sutner, Klaus
2005-01-01
CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…
The Preschool Rating Instrument for Science and Mathematics (PRISM)
Brenneman, Kimberly; Stevenson-Garcia, Judi; Jung, Kwanghee; Frede, Ellen
2011-01-01
Until recently, few valid and reliable assessments were available to measure young children's mathematics and science learning in a "comprehensive" way. Now, a number of mathematics assessments have been developed and subjected to testing (Klein, Starkey, & Wakeley, 2000; Ginsburg, 2008; Clements & Sarama, 2008), and progress has…
Science Academies' Refresher Course in Mathematics
Indian Academy of Sciences (India)
IAS Admin
2015-06-14
Jun 14, 2015 ... A two-week Refresher Course in Mathematics will be organized during 1–14 June 2015 at School of Mathematics,. SMVD University, Katra, Jammu & Kashmir in association with School of Innovation and Community Develop- ment, SMVDU. The aim of the Course is to display the beauty of “complex ...
Wayne, James J.
2014-01-01
Through a simple thought experiment, this paper shows that there must be a shared foundation of mathematics, information science, natural science, social science, and theology. The thought experiment is to ask a volunteer to write down an arbitrary real number between 0 and 1 with many digits. For example, 0.19823765010367129462…. would be one of such numbers. Then we analyze this experiment result by asking five simple questions: Is the real number a random real? Can the observed real numbe...
Mathematical sciences for climate change resilience (MS4CR ...
International Development Research Centre (IDRC) Digital Library (Canada)
This project will support the African Institute for Mathematical Sciences' Next Einstein Initiative (AIMS-NEI) in building a critical ... IDRC invites applications for the IDRC Research Awards 2019 ... ROSSA's latest bulletin puts a focus on women.
African Journal of Educational Studies in Mathematics and Sciences ...
African Journals Online (AJOL)
African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...
Gender Representation on Journal Editorial Boards in the Mathematical Sciences
2016-01-01
We study gender representation on the editorial boards of 435 journals in the mathematical sciences. Women are known to comprise approximately 15% of tenure-stream faculty positions in doctoral-granting mathematical sciences departments in the United States. Compared to this group, we find that 8.9% of the 13067 editorships in our study are held by women. We describe group variations within the editorships by identifying specific journals, subfields, publishers, and countries that significantly exceed or fall short of this average. To enable our study, we develop a semi-automated method for inferring gender that has an estimated accuracy of 97.5%. Our findings provide the first measure of gender distribution on editorial boards in the mathematical sciences, offer insights that suggest future studies in the mathematical sciences, and introduce new methods that enable large-scale studies of gender distribution in other fields. PMID:27536970
Prospective mathematics teachers' understanding of the base concept
Horzum, Tuğba; Ertekin, Erhan
2018-02-01
The purpose of this study is to analyze what kind of conceptions prospective mathematics teachers(PMTs) have about the base concept(BC). One-hundred and thirty-nine PMTs participated in the study. In this qualitative research, data were obtained through open-ended questions, the semi-structured interviews and pictures of geometric figures drawn by PMTs. As a result, it was determined that PMTs dealt with the BC in a broad range of seven different images. It was also determined that the base perception of PMTs was limited mostly to their usage in daily life and in this context, they have position-dependent and word-dependent images. It was also determined that PMTs named the base to explain the BC or paid attention to the naming of three-dimensional geometric figures through the statement: 'objects are named according to their bases'. At the same time, it was also determined that PMTs had more than one concept imageswhich were contradicting with each other. According to these findings, potential explanations and advices were given.
Dillon, Moira R; Kannan, Harini; Dean, Joshua T; Spelke, Elizabeth S; Duflo, Esther
2017-07-07
Many poor children are underprepared for demanding primary school curricula. Research in cognitive science suggests that school achievement could be improved by preschool pedagogy in which numerate adults engage children's spontaneous, nonsymbolic mathematical concepts. To test this suggestion, we designed and evaluated a game-based preschool curriculum intended to exercise children's emerging skills in number and geometry. In a randomized field experiment with 1540 children (average age 4.9 years) in 214 Indian preschools, 4 months of math game play yielded marked and enduring improvement on the exercised intuitive abilities, relative to no-treatment and active control conditions. Math-trained children also showed immediate gains on symbolic mathematical skills but displayed no advantage in subsequent learning of the language and concepts of school mathematics. Copyright © 2017, American Association for the Advancement of Science.
Hamideh Jafari Koshkouei; Ahmad Shahvarani; Mohammad Hassan Behzadi; Mohsen Rostamy-Malkhalifeh
2016-01-01
The present study was carried out to investigate the influence of mathematics self-concept (MSC), motivation to learn mathematics (SMOT) and self-regulation learning (SRL) on students' mathematics academic achievement. This study is of a descriptive survey type. 300 female students at the first grade of high school (the second period) in City Qods, were selected by multiple step cluster sampling method and completed MSC, SMOT and SRL questionnaires. Mathematics academic achievement was measur...
Basic training in mathematics a fitness program for science students
Shankar, R
1995-01-01
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences
Reilly, David; Neumann, David L.; Andrews, Glenda
2017-06-01
The underrepresentation of women in science, technology, engineering, and mathematics (STEM)-related fields remains a concern for educators and the scientific community. Gender differences in mathematics and science achievement play a role, in conjunction with attitudes and self-efficacy beliefs. We report results from the 2011 Trends in Mathematics and Science Study (TIMSS), a large international assessment of eighth grade students' achievement, attitudes, and beliefs among 45 participating nations (N = 261,738). Small- to medium-sized gender differences were found for most individual nations (from d = -.60 to +.31 in mathematics achievement, and d = -.60 to +.26 for science achievement), although the direction varied and there were no global gender differences overall. Such a pattern cross-culturally is incompatible with the notion of immutable gender differences. Additionally, there were different patterns between OECD and non-OECD nations, with girls scoring higher than boys in mathematics and science achievement across non-OECD nations. An association was found between gender differences in science achievement and national levels of gender equality, providing support for the gender segregation hypothesis. Furthermore, the performance of boys was more variable than that of girls in most nations, consistent with the greater male variability hypothesis. Boys reported more favorable attitudes towards mathematics and science, and girls reported lower self-efficacy beliefs. While the gender gap in STEM achievement may be closing, there are still large sections of the world where differences remain.
Applied mathematics for science and engineering
Glasgow, Larry A
2014-01-01
Prepare students for success in using applied mathematics for engineering practice and post-graduate studies moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques Uses different examples from chemical, civil, mechanical and various other engineering fields Based on a decade's worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Amir Mafi1 2. Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran; Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Deepak Kumar Gumber1 Ram Karan2 Indu Pal2. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India; Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. M Subbiah1 V Ganesh2. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 605 014, India; Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham University, Ettimadai, Coimbatore 641 105, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Saurav Bhaumik1 Vikram Mehta2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Hassan Azad1 Indranil Biswas2. Department of Mathematics and Statistics, King Fahd University, Saudi Arabia; School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Yanheng Chen1 2 Guiyun Chen1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, People's Republic of China ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Nazim Agayev1 Tahire Özen2 Abdullah Harmanci3. Department of Pedagogy, Qafqaz University, Baku Azerbaijan; Mathematics Department, Ízzet Baysal University, Bolu, Türkiye; Mathematics Department, Hacettepe University, Ankara, Türkiye ...
Creators of mathematical and computational sciences
Agarwal, Ravi P
2014-01-01
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life. … presents a picture of mathematics as a creation of the human imagination. … brings the history of mathematics to life by describing the contributions of the world’s greatest mathematicians. —Rex F. Gandy, Provost and Vice President for Academic Affairs, TAMUK It starts with the explanation and history of numbers, arithmetic, ...
Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar
2017-08-01
This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.
Geometrical objects architecture and the mathematical sciences 1400-1800
2014-01-01
This volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts. It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the scientific revolution. As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions. As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts. Our approach sees the designer’s studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is depl...
Discrete thoughts essays on mathematics, science, and philosophy
Kac, Mark; Schwartz, Jacob T
1992-01-01
This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others. "...these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions...I admire the stimulating perspectives of the authors."---American Mathematical Society "‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They a...
Explorations in Mathematical Physics The Concepts Behind an Elegant Language
Koks, Don
2006-01-01
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis buil...
Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics
Didion, Catherine; Fortenberry, Norman L.; Cady, Elizabeth
2012-01-01
On August 8-12, 2010 the National Academy of Engineering (NAE), with funding from the National Science Foundation (NSF), convened the Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics (STEM), following the release of several reports highlighting the educational challenges facing minority males. The NSF recognized the…
Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science
Cady, Jo Ann; Rearden, Kristin
2007-01-01
This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…
Taiwanese Preservice Teachers' Science, Technology, Engineering, and Mathematics Teaching Intention
Lin, Kuen-Yi; Williams, P. John
2016-01-01
This study applies the theory of planned behavior as a basis for exploring the impact of knowledge, values, subjective norms, perceived behavioral controls, and attitudes on the behavioral intention toward science, technology, engineering, and mathematics (STEM) education among Taiwanese preservice science teachers. Questionnaires (N = 139)…
Rural Alaska Science and Mathematics Network
National Research Council Canada - National Science Library
Brunk, Blanche R
2005-01-01
...), are awarded to Alaska Native students. Academic preparation, lack of exposure to science careers in rural Alaska, and little connection between western science and Native traditional life have combined to impede Native students' interest...
Rural Alaska Science and Mathematics Network
National Research Council Canada - National Science Library
Brunk, Blanche R
2005-01-01
... and progress in math and science education. The goal of this project was to develop and deliver, both on-site and through distance learning, a comprehensive program of developmental and college preparatory math and science courses at minority...
Il Concetto di Infinito nell'Intuizione Matematica (Concept of Infinity in Mathematical Intuition).
Ferrari, E.; And Others
1995-01-01
Investigated the acquisition and maturation of the infinity concept in mathematics of students ages 13-15. Found the infinity concept is learned by students only when provided with appropriate guidance. (Author/MKR)
Applied data-centric social sciences concepts, data, computation, and theory
Sato, Aki-Hiro
2014-01-01
Applied data-centric social sciences aim to develop both methodology and practical applications of various fields of social sciences and businesses with rich data. Specifically, in the social sciences, a vast amount of data on human activities may be useful for understanding collective human nature. In this book, the author introduces several mathematical techniques for handling a huge volume of data and analysing collective human behaviour. The book is constructed from data-oriented investigation, with mathematical methods and expressions used for dealing with data for several specific problems. The fundamental philosophy underlying the book is that both mathematical and physical concepts are determined by the purposes of data analysis. This philosophy is shown throughout exemplar studies of several fields in socio-economic systems. From a data-centric point of view, the author proposes a concept that may change people’s minds and cause them to start thinking from the basis of data. Several goals underlie ...
Secondary School Mathematics in Perspective: Conceptions of its Nature and Relevance.
Frid, Sandra; White, Loren
This study investigated the nature of secondary school students' and teachers' conceptions of what mathematics is, the purposes of school mathematics, and the outcomes of school mathematics. Interviews were conducted with a sample of grades 10, 11, and 12 students (n=40), teachers (n=19), counselors (n=2), and administrators (n=2) from a large…
Self-concept mediates the relation between achievement and emotions in mathematics.
Van der Beek, Jojanneke P J; Van der Ven, Sanne H G; Kroesbergen, Evelyn H; Leseman, Paul P M
2017-09-01
Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions. The aims were (1) to investigate the mediating role of mathematical self-concept in the relation between mathematics achievement and the achievement emotions of enjoyment and anxiety in a comprehensive model, and (2) to test possible differences in this mediating role between low-, average-, and high-achieving students. Participants were ninth-grade students (n = 1,014) from eight secondary schools in the Netherlands. Through an online survey including mathematical problems, students were asked to indicate their levels of mathematics enjoyment, anxiety, and self-concept. Structural equation modelling was used to test the mediating role of self-concept in the relation between mathematics achievement and emotions. Multigroup analyses were performed to compare these relations across the three achievement groups. Results confirmed full mediation of the relation between mathematics achievement and emotions by mathematical self-concept. Furthermore, we found higher self-concepts, more enjoyment and less math anxiety in high-achieving students compared to their average and low-achieving peers. No differences across these achievement groups were found in the relations in the mediational model. Mathematical self-concept plays a pivotal role in students' appraisal of mathematics. Mathematics achievement is only one factor explaining students' self-concept. Likely also classroom instruction and teachers' feedback strategies help to shape students' self-concept. © 2017 The British Psychological Society.
Algorithms in Modern Mathematics and Computer Science.
1980-01-01
importance, since we will go on doing what we are doing no matter what it is called; after all, other disciplines like Mathematics and Chemistry are no...longer related very strongly to the etymology of their names. However, if I had a chance to vote for the name of my own discipline, I would choose to call
Mathematics and Science Learning Opportunities in Preschool Classrooms
Piasta, Shayne B.; Pelatti, Christina Yeager; Miller, Heather Lynnine
2014-01-01
Research findings The present study observed and coded instruction in 65 preschool classrooms to examine (a) overall amounts and (b) types of mathematics and science learning opportunities experienced by preschool children as well as (c) the extent to which these opportunities were associated with classroom and program characteristics. Results indicated that children were afforded an average of 24 and 26 minutes of mathematics and science learning opportunities, respectively, corresponding to spending approximately 25% of total instructional time in each domain. Considerable variability existed, however, in the amounts and types of mathematics and science opportunities provided to children in their classrooms; to some extent, this variability was associated with teachers’ years of experience, teachers’ levels of education, and the socioeconomic status of children served in the program. Practice/policy Although results suggest greater integration of mathematics and science in preschool classrooms than previously established, there was considerable diversity in the amounts and types of learning opportunities provided in preschool classrooms. Affording mathematics and science experiences to all preschool children, as outlined in professional and state standards, may require additional professional development aimed at increasing preschool teachers’ understanding and implementation of learning opportunities in these two domains in their classrooms. PMID:25489205
Energy Technology Data Exchange (ETDEWEB)
Reif, R.J. [State Univ. of New York, New Paltz, NY (United States); Lock, C.R. [Univ. of North Carolina, Charlotte, NC (United States)
1998-11-01
This project addressed the problem of female and minority representation in science and mathematics education and in related fields. It was designed to recruit high school students from under-represented groups into a program that provided significant, meaningful experiences to encourage those young people to pursue careers in science and science teaching. It provided role models for those students. It provided experiences outside of the normal school environment, experiences that put the participants in the position to serve as role models themselves for disadvantaged young people. It also provided encouragement to pursue careers in science and mathematics teaching and related careers. In these respects, it complemented other successful programs to encourage participation in science. And, it differed in that it provided incentives at a crucial time, when career decisions are being made during the high school years. Further, it encouraged the pursuit of careers in science teaching. The objectives of this project were to: (1) provide enrichment instruction in basic concepts in the life, earth, space, physical sciences and mathematics to selected high school students participating in the program; (2) provide instruction in teaching methods or processes, including verbal communication skills and the use of questioning; (3) provide opportunities for participants, as paid student interns, to transfer knowledge to other peers and adults; (4) encourage minority and female students with high academic potential to pursue careers in science teaching.
Teaching Mathematics for Social Justice: Examining Preservice Teachers' Conceptions
Jong, Cindy; Jackson, Christa
2016-01-01
Teaching for social justice is a critical pedagogy used to empower students to be social agents in the world they live. This critical pedagogy has extended to mathematics education. Over the last decade, mathematics education researchers have conceptualized what it means to teach mathematics for social justice, but little is known about preservice…
Incorporating Learning Motivation and Self-Concept in Mathematical Communicative Ability
Rajagukguk, Waminton
2016-01-01
This research is trying to determine of the mathematical concepts, instead by integrating the learning motivation (X[subscript 1]) and self-concept (X[subscript 2]) can contribute to the mathematical communicative ability (Y). The test instruments showed the following results: (1) simple regressive equation Y on X[subscript 1] was Y = 32.891 +…
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Department of Mathematics, The University of Texas – Pan American, 1201 West University Drive, Edinburg, TX 78539, USA; School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA; Departamento de Matemáticas, Universidad de Antioquia, Calle 67 N◦53-108, Medellín, Colombia, USA ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Universität Bonn, Institut für Angewandte Mathematik, Abt. für Stochastik, 53115 Bonn, Wegelerstr. 6, Deutschland; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania; Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Matija Cencelj1 Dušan Repovš1 Mikhail B Skopenkov2. Institute for Mathematics, Physics and Mechanics and Faculty of Education, University of Ljubljana, P.O. Box 2964, 1001 Ljubljana, Slovenia; Department of Differential Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119992, ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Taras Radul1 Dušan Repovš2. Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, Lviv, Ukraine 79602; Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 21, Ljubljana, Slovenia 1000 ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... Nadeem Ur Rehman2 Joso Vukman3. Faculty of Logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia; Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India; Department of Mathematics, Physics and Mechanics, University of Maribor, Gosposvetska 84, 2000 Maribor, Slovenia ...
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.
Euler European Libraries and Electronic Resources in Mathematical Sciences
The Euler Project. Karlsruhe
The European Libraries and Electronic Resources (EULER) Project in Mathematical Sciences provides the EulerService site for searching out "mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports preprints) and NetLab (for Internet resources), this outstanding engine is capable of simple, full, and refined searches. It also offers a browse option, which responds to entries in the author, keyword, and title fields. Further information about the Project is provided at the EULER homepage.
Three views of logic mathematics, philosophy, and computer science
Loveland, Donald W; Sterrett, S G
2014-01-01
Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-orde
Visual arts and the teaching of the mathematical concepts of shape and space in Grade R classrooms
Directory of Open Access Journals (Sweden)
Dianne Wilmot
2015-09-01
Full Text Available This article addresses the need for research in the areas of Grade R curriculum and pedagogy, Grade R teacher professional development, and early years mathematics teaching. More specifically, it responds to the need for teacher professional development in Grade R mathematics teaching of the geometric concepts of space and shape. The article describes a study about teachers’ understanding of how visual arts can be used as pedagogical modality. The study was prompted by the findings of a ‘Maths and Science through Arts and Culture Curriculum’ intervention undertaken with Grade R teachers enrolled for a Bachelor of Education (Foundation Phase degree at a South African university. Post-intervention, teachers’ classroom practices did not change, and they were not using visual arts to teach mathematical concepts. The lessons learned from the research intervention may contribute to the wider debate about Grade R teaching and children’s learning.
Remote sensing science - new concepts and applications
Energy Technology Data Exchange (ETDEWEB)
Gerstl, S.A.; Cooke, B.J.; Henderson, B.G.; Love, S.P.; Zardecki, A.
1996-10-01
This is the final report of a one-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). The science and technology of satellite remote sensing is an emerging interdisciplinary field that is growing rapidly with many global and regional applications requiring quantitative sensing of earth`s surface features as well as its atmosphere from space. It is possible today to resolve structures on the earth`s surface as small as one meter from space. If this high spatial resolution is coupled with high spectral resolution, instant object identification can also be achieved. To interpret these spectral signatures correctly, it is necessary to perform a computational correction on the satellite imagery that removes the distorting effects of the atmosphere. This project studied such new concepts and applied innovative new approaches in remote sensing science.
Preparing Elementary Mathematics-Science Teaching Specialists.
Miller, L. Diane
1992-01-01
Describes a professional development program to train math/science specialists for the upper elementary school grades. Using results from an interest survey, 30 teachers were chosen to participate in a 3-year program to become math/science specialists. Presents the teaching model used and the advantages for teachers and students in having subject…
Academic Self-Concept: Modeling and Measuring for Science
Hardy, Graham
2014-01-01
In this study, the author developed a model to describe academic self-concept (ASC) in science and validated an instrument for its measurement. Unlike previous models of science ASC, which envisage science as a homogenous single global construct, this model took a multidimensional view by conceiving science self-concept as possessing distinctive…
Making mathematics and science integration happen: key aspects of practice
Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne
2016-02-01
The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Special issue devoted to advances in specific areas of mathematics and proceedings of selected high quality conferences are also published. ... Editorial Manager is a user-friendly online submission and review management system. Authors ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. A Carriazo1 L M Fernández1 A Rodríguez-Hidalgo1. Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Stephen Dias Barreto1 2. Stat. Math. Unit, Indian Statistical Institute, Bangalore 560 059, India; Department of Mathematics, Goa University, Sub P.O. Goa University, Taleigao Plateau, Goa 403 206 ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India; Department of Mathematics and Statistics, Queen's University, Jeffrey Hall, 99 University Avenue, Kingston, ON, Canada K7L 3N6 ...
THE EFFECT OF CONCEPT MAPPING ON CONCEPT LEARNING IN SCIENCE
岡, 直樹; 今永, 久美子
2012-01-01
An experiment was conducted to investigate the effects of concept map completion tasks on concept learning in the primary schoolchildren. The participants were to insert some of the suitable concepts (concept group) or link labeles (link label group) or both of them (concept/link label group) into the blanks to make up the map wholly. It was revealed that the results of the concept group and the concept/link label group were better than the link label group. These results were discussed in te...
Mathematics for informatics and computer science
Audibert, Pierre
2013-01-01
How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories. It is actually also used as a textbook. Basic and advanced theoretical elements are presented through simple applications like the Sudoku game, search engine al
Active learning increases student performance in science, engineering, and mathematics.
Freeman, Scott; Eddy, Sarah L; McDonough, Miles; Smith, Michelle K; Okoroafor, Nnadozie; Jordt, Hannah; Wenderoth, Mary Pat
2014-06-10
To test the hypothesis that lecturing maximizes learning and course performance, we metaanalyzed 225 studies that reported data on examination scores or failure rates when comparing student performance in undergraduate science, technology, engineering, and mathematics (STEM) courses under traditional lecturing versus active learning. The effect sizes indicate that on average, student performance on examinations and concept inventories increased by 0.47 SDs under active learning (n = 158 studies), and that the odds ratio for failing was 1.95 under traditional lecturing (n = 67 studies). These results indicate that average examination scores improved by about 6% in active learning sections, and that students in classes with traditional lecturing were 1.5 times more likely to fail than were students in classes with active learning. Heterogeneity analyses indicated that both results hold across the STEM disciplines, that active learning increases scores on concept inventories more than on course examinations, and that active learning appears effective across all class sizes--although the greatest effects are in small (n ≤ 50) classes. Trim and fill analyses and fail-safe n calculations suggest that the results are not due to publication bias. The results also appear robust to variation in the methodological rigor of the included studies, based on the quality of controls over student quality and instructor identity. This is the largest and most comprehensive metaanalysis of undergraduate STEM education published to date. The results raise questions about the continued use of traditional lecturing as a control in research studies, and support active learning as the preferred, empirically validated teaching practice in regular classrooms.
Graph comprehension in science and mathematics education: Objects and categories
DEFF Research Database (Denmark)
Voetmann Christiansen, Frederik; May, Michael
types of registers. In the second part of the paper, we consider how diagrams in science are often composites of iconic and indexical elements, and how this fact may lead to confusion for students. In the discussion the utility of the Peircian semiotic framework for educational studies......, the typological mistake of considering graphs as images is discussed related to litterature, and two examples from engineering education are given. The educational implications for science and engineering are discussed, with emphasis on the need for students to work explicitly with conversions between different...... of representational forms in science is discussed, and how the objects of mathematics and science relate to their semiotic representations....
Directory of Open Access Journals (Sweden)
Deonarain Brijlall
2012-12-01
Full Text Available This article reports on an exploration of teachers’ views on the meaning of mathematical representations in a democratic South Africa. We explored teachers’ conceptions of ‘mathematical representations’ as a means to promote dialogue and negotiation. These conceptions helped us to gauge how these teachers viewed representations in mathematics. Semi-structured questionnaires were administered to 76 high school mathematics teachers who were registered for an upgrading mathematics education qualification at a South African university. Common themes in teacher conceptions of representations were investigated as part of an inductive analysis of the written responses, which were considered in terms of practices that support dialogue and negotiation. Findings suggest that these conceptions are in line with progressive notions of classroom interactions such as the inquiry cooperation model. Furthermore, the findings suggest that teachers can support the development of classroom environments that promote democratic values.
A study of the Teachers` Academy for Mathematics and Science
Energy Technology Data Exchange (ETDEWEB)
Brett, B.; Scheirer, M.A.; Raizen, S.
1994-09-15
The Teachers` Academy for Mathematics and Science in Chicago (TAMS) is a freestanding institution founded in 1989 by scientists and a variety of other stakeholders, to advance the systemic reform of mathematics and science education in Chicago`s public schools. It focuses on the ``re-tooling`` of its elementary level teachers. The TAMS program, which has been funded in part by the DOE, contributes to strategic goals two through five of the Office of University and Science Education (OUSE). This evaluation of TAMS by the National Center for Improving Science Education is primarily a qualitative study that summarizes the history and current status of the organization and its programs. Data was obtained through extensive interviews, observations, and document review, using a framework of templates to guide data collection and analyses. The findings are organized around a series of lessons learned from the first three years of TAMS and conclusions about its current status.
Directory of Open Access Journals (Sweden)
Jennifer EDELMAN
2017-06-01
Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.
Directory of Open Access Journals (Sweden)
Jennifer Edelman
2017-06-01
Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.
Internalization of Malaysian mathematical and computer science journals
Zainab, A. N.
2008-01-01
The internationalization characteristics of two Malaysian journals, Bulletin of the Malaysian Mathematical Sciences Society ( indexed by ISI) and the Malaysian Journal of Computer Science ( indexed by Inspec and Scopus) is observed. All issues for the years 2000 to 2007 were looked at to obtain the following information, (i) total articles published between 2000 and 2007; (ii) the distribution of foreign and Malaysian authors publishing in the journals; (iii) the distribution of articles by c...
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
Alladi, Krishnaswami; Rao, Calyampudi R
2010-01-01
In the spirit of Alladi Ramakrishnan's profound interest and contributions to three fields of science -- Mathematics, Statistics, and Physics -- this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan's illustrious career of special interest are included as well.
Practice and Conceptions: Communicating Mathematics in the Workplace
Wood, Leigh N.
2012-01-01
The study examined the experience of communication in the workplace for mathematics graduates with a view to enriching university curriculum. I broaden the work of Burton and Morgan (2000), who investigated the discourse practices of academic mathematicians to examine the discourse used by new mathematics graduates in industry and their…
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
), Kalasalingam University, Anand Nagar, Krishnankoil 626126, India; School of Electrical Engineering and Computer Science, The University of Newcastle, Newcastle, NSW 2308, Australia; Department of Computer Science, Ball State ...
History of mathematics and history of science reunited?
Gray, Jeremy
2011-09-01
For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come about through a revived appreciation of mathematical practice. Detailed studies of what mathematicians actually do, whether local or broadly based, have often led in recent work to examinations of the social, cultural, and national contexts, and more can be done. Another recent approach toward a historical understanding of the abstractness of modern mathematics has been to see it as a species of modernism, and this thesis will be tested by the raft of works on the history of modern applied mathematics currently under way.
Currents in industrial mathematics from concepts to research to education
Prätzel-Wolters, Dieter
2015-01-01
Mathematics has many branches: there are the pure, the applied, and the applicable; the theoretical and the practical. There is mathematics for school, for college, and for industry. All these belong to the same family and are bound together by a "mathematical way of thinking." Some mathematicians devote themselves entirely to the well being of this family by preserving it, developing it, and teaching it to the next generation. Others use the familial attributes to help outsiders by taking up their problems and transforming them into mathematical questions in order to solve them. The work of these mathematicians is thus problem driven, based on mathematical models, and oriented on the goal of offering practicable solutions. This second group is sizeable; its members include almost all college graduates working in industry, in the private sector, or in the Fraunhofer Institutes, for example. This group is hardly visible, however, and one seldom hears its voices either. This book remedies this situation by rela...
Heuristic and algorithmic processing in English, mathematics, and science education.
Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane
2008-01-01
Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.
Mathematical representations in science: a cognitive-historical case history.
Tweney, Ryan D
2009-10-01
The important role of mathematical representations in scientific thinking has received little attention from cognitive scientists. This study argues that neglect of this issue is unwarranted, given existing cognitive theories and laws, together with promising results from the cognitive historical analysis of several important scientists. In particular, while the mathematical wizardry of James Clerk Maxwell differed dramatically from the experimental approaches favored by Michael Faraday, Maxwell himself recognized Faraday as "in reality a mathematician of a very high order," and his own work as in some respects a re-representation of Faraday's field theory in analytic terms. The implications of the similarities and differences between the two figures open new perspectives on the cognitive role of mathematics as a learned mode of representation in science. Copyright © 2009 Cognitive Science Society, Inc.
Pharmacy students' perceptions of natural science and mathematics subjects.
Prescott, Julie; Wilson, Sarah Ellen; Wan, Kai-Wai
2014-08-15
To determine the level of importance pharmacy students placed on science and mathematics subjects for pursuing a career in pharmacy. Two hundred fifty-four students completed a survey instrument developed to investigate students' perceptions of the relevance of science and mathematics subjects to a career in pharmacy. Pharmacy students in all 4 years of a master of pharmacy (MPharm) degree program were invited to complete the survey instrument. Students viewed chemistry-based and biology-based subjects as relevant to a pharmacy career, whereas mathematics subjects such as physics, logarithms, statistics, and algebra were not viewed important to a career in pharmacy. Students' experience in pharmacy and year of study influenced their perceptions of subjects relevant to a pharmacy career. Pharmacy educators need to consider how they can help students recognize the importance of scientific knowledge earlier in the pharmacy curriculum.
Science and Mathematics Mentees and Mentors: Who Benefits the Most?
Taylor, Rosemarye T.; Karcinski, Lisa
2016-01-01
The purpose of our study was to determine the extent to which differences in a mentor model for science and mathematics teachers accounted for variances in mentoring effectiveness and persistence rates of teachers. School district designee, mentor, and teacher perceptions of mentoring support were collected through the use of interviews and…
Pre-Service Science and Mathematics Teachers' Thoughts about Technology
Aran, Özge Can; Derman, Ipek; Yagci, Esed
2016-01-01
This study aims to investigate pre-service teachers' opinions about the technology. In this respect, the opinions of pre-service science and mathematics teachers were taken. The study was carried out at a university, located in the capital of Turkey. The data were collected from 20 pre-service teachers in the department of secondary school science…
Global Journal of Mathematical Sciences - Vol 8, No 2 (2009)
African Journals Online (AJOL)
Global Journal of Mathematical Sciences. ... On the choice of schools located outside the walkable neighbourhood of the household · EMAIL FREE FULL TEXT EMAIL FREE FULL TEXT DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. A.A Osagiede, V.U Ekhosuehi. http://dx.doi.org/10.4314/gjmas.v8i2.53758 ...
Introductory Life Science Mathematics and Quantitative Neuroscience Courses
Duffus, Dwight; Olifer, Andrei
2010-01-01
We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an…
Computers in Science and Mathematics Education in the ASEAN Region.
Talisayon, Vivien M.
1989-01-01
Compares policies and programs on computers in science and mathematics education in the six ASEAN countries: Brunei, Indonesia; Malaysia, Philippines, Singapore, and Thailand. Limits discussion to the computer as a teaching aid and object of study, attendant problems, and regional cooperation. (MVL)
ICT Integration in Science and Mathematics Lessons: Teachers ...
African Journals Online (AJOL)
The study reported in this paper used Guskey's model (Guskey, 2000) to systematically investigate teachers' experiences about the professional development programme on ICT integration in teaching and learning of Science and Mathematics in secondary schools. The study employed survey research design and an ...
Restructuring STM (Science, Technology, and Mathematics) Education for Entrepreneurship
Ezeudu, F. O.; Ofoegbu, T. O.; Anyaegbunnam, N. J.
2013-01-01
This paper discussed the need to restructure STM (science, technology, and mathematics) education to reflect entrepreneurship. This is because the present STM education has not achieved its aim of making graduates self-reliant. Entrepreneurship education if introduced in the STM education will produce graduate who can effectively manage their…
Mathematics and social science : a statistical mechanics approach to immigration
Contucci, P.; Giardinà, C.
2008-01-01
Is modern science able to study social matters like those related to immigration phenomena on solid mathematical grounds? Can we for instance determine cultural robustness and the causes behind abrupt changes from cultural legacies? Can we predict, cause or avoid swings? A novel approach is under
Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.
MacKenzie, Louise; Smith, Alice
These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…
Secondary School Science and Mathematics Teachers, Characteristics and Service Loads.
Mills, Thomas J.
Determined were the educational and professional backgrounds, and some aspects of the operational environment of teachers of secondary school science and mathematics (Grades 7-12) in the public and private schools of the United States during the school year 1960-61. A stratified random sampling method was used to ensure proportional representation…
Recent developments and applications in mathematics and computer science
International Nuclear Information System (INIS)
Churchhouse, R.F.; Tahir Shah, K.; Zanella, P.
1991-01-01
The book contains 8 invited lectures and 4 short seminars presented at the College on Recent Developments and Applications in Mathematics and Computer Science held in Trieste from 7 May to 1 June 1990. A separate abstract was prepared for each paper. Refs, figs and tabs
An Alternative to Piagetian Psychology for Science and Mathematics Education
Novak, Joseph D.
1978-01-01
Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)
Evaluation of Students' Energy Conception in Environmental Science
Park, Mihwa; Johnson, Joseph A.
2016-01-01
While significant research has been conducted on students' conceptions of energy, alternative conceptions of energy have not been actively explored in the area of environmental science. The purpose of this study is to examine students' alternative conceptions in the environmental science discipline through the analysis of responses of first year…
Pietsch, James; Walker, Richard; Chapman, Elaine
2003-01-01
Examines the relationship among self-concept, self-efficacy, and performance in mathematics among 416 high school students. Confirmatory factor analyses supported the existence of two self-concept components--a competency component and an affective component. Self-efficacy items and the competency items of self-concept also loaded on a single…
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Larisa Gromova1 Alexander Vasil'ev2. Department of Mathematics and Mechanics, Saratov State University, Saratov 410026, Russia; Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a -dimensional subgroup of S U ( n , 1 ) are investigated by using a test map which may not be in . Author Affiliations. Huani Qin1 2 Yueping Jiang1. College of Applied Mathematics, ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
For the structure of a sonic boom produced by a simple aerofoil at a large distance from its source we take a physical model which consists of a leading shock (LS), a trailing shock (TS) and a one-parameter family of nonlinear wavefronts in between the two shocks. Then we develop a mathematical model and show that ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
The aim here is to continue the investigation in [1] of Jacobians of a Klein surface and also to correct an error in [1]. Author Affiliations. Pablo Arés-Gastesi1 Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400 005, India. Dates. Manuscript received: 23 August 2005. Proceedings ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In this paper, we study the null controllability of the viscous Camassa–Holm equation on the one-dimensional torus. By using a moving distributed control, we obtain that the system is null controllable for a given data with certain regularity. Author Affiliations. Peng Gao1. School of Mathematics and Statistics, and Center for ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Author Affiliations. Indranil Biswas1 N Raghavendra1 2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Advanced Technology Centre, Tata Consultancy Services, K.L.K. Estate, Fateh Maidan Road, Hyderabad 500 001, India ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
We give a criterion for filtered vector bundles over curves to admit a filtration preserving meromorphic connection that induces a given meromorphic connection on the corresponding graded bundle. Author Affiliations. Indranil Biswas1 Viktoria Heu2. School of Mathematics, Tata Institute of Fundamental Research, Homi ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
We classify principal -bundles on the projective line over an arbitrary field of characteristic ≠ 2 or 3, where is a reductive group. If such a bundle is trivial at a -rational point, then the structure group can be reduced to a maximal torus. Author Affiliations. V B Mehta1 S Subramanian1. School of Mathematics, Tata ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Under additional hypotheses on we deduce the existence of solutions if is unbounded. Author Affiliations. Marius Ghergu1 Constantin Niculescu1 Vicenţiu Rădulescu1. Department of Mathematics, University of Craiova, 1100 Craiova, Romania. Dates. Manuscript received: 22 February 2002; Manuscript revised: 23 May ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
This paper surveys the existing literature on homogeneous operators and their relationships with projective representations of P S L ( 2 , R ) and other Lie groups. It also includes a list of open problems in this area. Author Affiliations. Bhaskar Bagchi1 Gadadhar Misra1. Theoretical Statistics and Mathematics Division, Indian ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
... consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first principles, i.e., balance of mass, momentum and energy. In the isothermal case, this problem is analysed to obtain local well-posedness, stability of non-degenerate equilibria, and global ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
We find an explicit function approximating at high energies the kernel of the scattering matrix with arbitrary accuracy. Moreover, the same function gives all diagonal singularities of the kernel of the scattering matrix in the angular variables. Author Affiliations. D Yafaev1. Department of Mathematics, University Rennes-1, ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
We consider a matrix operator = (-) + in , where ≥ 2, ≥ 1, 4 > + 1, and is the operator of multiplication by a periodic in matrix (). We study spectral ... Yu E Karpeshina1. Department of Mathematics, University of Alabama at Birmingham, 452 Campbell Hall, Birmingham AL 35294-1170, USA ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. ... of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Appl. 175 (1993) 458), to establish mathematically, the existence of hydrodynamic instability in single diffusive bottom heavy systems, when considered in the more general framework of the boundary conditions of the type specified by Beavers and Joseph (J. Fluid Mech. 30 (1967) 197), in the parameter regime T 0 2 > 1 ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Howard's conjecture, which states that in the linear instability problem of inviscid heterogeneous parallel shear flow growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with ...
Research in applied mathematics, numerical analysis, and computer science
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.
A mathematical model for the third-body concept
Czech Academy of Sciences Publication Activity Database
Krejčí, Pavel; Petrov, A.
2018-01-01
Roč. 23, č. 3 (2018), s. 420-432 ISSN 1081-2865 R&D Projects: GA ČR(CZ) GA15-12227S Institutional support: RVO:67985840 Keywords : third-body * hysteresis operators * variational inequality Subject RIV: BA - General Mathematics OBOR OECD: Applied mathematics Impact factor: 2.953, year: 2016 http://journals.sagepub.com/doi/abs/10.1177/1081286517732827
Jacobson, Erik; Simpson, Amber
2018-04-01
Replication studies play a critical role in scientific accumulation of knowledge, yet replication studies in mathematics education are rare. In this study, the authors replicated Thanheiser's (Educational Studies in Mathematics 75:241-251, 2010) study of prospective elementary teachers' conceptions of multidigit number and examined the main claim that most elementary pre-service teachers think about digits incorrectly at least some of the time. Results indicated no statistically significant difference in the distribution of conceptions between the original and replication samples and, moreover, no statistically significant differences in the distribution of sub-conceptions among prospective teachers with the most common conception. These results suggest confidence is warranted both in the generality of the main claim and in the utility of the conceptions framework for describing prospective elementary teachers' conceptions of multidigit number. The report further contributes a framework for replication of mathematics education research adapted from the field of psychology.
Integrating Mathematics, Science, and Language Arts Instruction Using the World Wide Web.
Clark, Kenneth; Hosticka, Alice; Kent, Judi; Browne, Ron
1998-01-01
Addresses issues of access to World Wide Web sites, mathematics and science content-resources available on the Web, and methods for integrating mathematics, science, and language arts instruction. (Author/ASK)
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Fellowship · Fellows · Women Fellows · Deceased Fellows · Deceased women Fellows · Honorary Fellows · Deceased Honorary Fellows · Repository of Publications of Fellows · Oral History Archives · Associateship · Journals · Overview · Bulletin of Materials Science · DIALOGUE: Science, Scientists, and Society · Indian ...
杉野, 裕子
2014-01-01
I have been studying to show the importance of adopting a programming in the mathematical education and developed the LOGO teaching materials which is made good use of in the field of Euclidean geometry, in order to improve understanding and learning figure concepts. The present article offers a theoretical framework with consistency about my study and also new programming materials in which I embody my theory. I consider logically the system of mathematical expression with computers and espe...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Instituto de Matemática e Estatística, Universidade de São Paulo (IME-USP), Caixa Postal 66281, São Paulo, CEP 05315-970, Brasil; Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160 014, India; Escola de Artes, Ciências e Humanidades, Universidade de São Paulo (EACH-USP), Rua Arlindo ...
Justification of the concept of mathematical methods and models in making decisions on taxation
KORKUNA NATALIA MIKHAYLOVNA
2017-01-01
The paper presents the concept of the application of mathematical methods and models in making decisions on taxation in Ukraine as a phased process. Its performance result is the selection of an effective decision based on regression and optimization models.
Logical thinking in the pyramidal schema of concepts the logical and mathematical elements
Geldsetzer, Lutz
2014-01-01
This book proposes a new way of formalizing in logic and mathematics - a "pyramidal graph system," devised by the author and based on Porphyrian trees and modern concepts of classification, in both of which pyramids act as the organizing schema.
Self-concept mediates the relation between achievement and emotions in mathematics
Van der Beek, Jojanneke P J; Van der Ven, Sanne H G; Kroesbergen, Evelyn H; Leseman, Paul P M
BACKGROUND: Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions.
Mutodi, Paul; Chigonga, Benard
2016-01-01
This paper reports on teachers' views on concept mapping: its applicability; reliability; advantages and; difficulties. A close-ended questionnaire was administered to 50 purposefully selected secondary school mathematics teachers from Sekhukhune District, Limpopo, South Africa. The findings indicate that mathematics teachers generally perceive…
Patel, Rita Manubhai
2013-01-01
This dissertation examined understanding of slope and derivative concepts and mathematical dispositions of first-semester college calculus students, who are recent high school graduates, transitioning to university mathematics. The present investigation extends existing research in the following ways. First, based on this investigation, the…
Self-concept mediates the relation between achievement and emotions in mathematics
Beek, J.P.J. van der; Ven, S.H.G. van der; Kroesbergen, E.H.; Leseman, P.P.M.
2017-01-01
Background: Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions.
An Investigation of K-8 Preservice Teachers' Concept Images and Mathematical Definitions of Polygons
Ward, Robin A.
2004-01-01
In this paper, the author presents a study which explored K-8 preservice teachers' concept images and mathematical definitions of polygons. This study was carried out in which K-8 teacher candidates enrolled in an elementary mathematics content course were asked to sort, identify, and provide definitions of such shapes including triangles,…
Self-Concept Mediates the Relation between Achievement and Emotions in Mathematics
Van der Beek, Jojanneke P. J.; Van der Ven, Sanne H. G.; Kroesbergen, Evelyn H.; Leseman, Paul P. M.
2017-01-01
Background: Mathematics achievement is related to positive and negative emotions. Pekrun's control-value theory of achievement emotions suggests that students' self-concept (i.e., self-appraisal of ability) may be an important mediator of the relation between mathematics achievement and emotions. Aims: The aims were (1) to investigate the…
Kjeldsen, Tinne Hoff; Lützen, Jesper
2015-01-01
In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another…
Ibrahim Rajab Abbas Ibrahim
2017-01-01
The purpose of this study was to identify the effectiveness of cooperative learning in improving mathematical concepts among students with mild intellectual disability (SMID). The sample of the study consisted of 8 SMID at Najran in the Kingdom of Saudi Arabia. The sample of the study was divided randomly into two equal groups control and experimental. The students in the experimental group have studied the mathematical concepts by using cooperative learning; however the students in the contr...
Foundations in Science and Mathematics Program for Middle School and High School Students
Desai, Karna Mahadev; Yang, Jing; Hemann, Jason
2016-01-01
The Foundations in Science and Mathematics (FSM) is a graduate student led summer program designed to help middle school and high school students strengthen their knowledge and skills in mathematics and science. FSM provides two-week-long courses over a broad spectrum of disciplines including astronomy, biology, chemistry, computer programming, geology, mathematics, and physics. Students can chose two types of courses: (1) courses that help students learn the fundamental concepts in basic sciences and mathematics (e.g., "Precalculus"); and (2) knowledge courses that might be excluded from formal schooling (e.g., "Introduction to Universe"). FSM has served over 500 students in the Bloomington, IN, community over six years by acquiring funding from Indiana University and the Indiana Space Grant Consortium. FSM offers graduate students the opportunity to obtain first hand experience through independent teaching and curriculum design as well as leadership experience.We present the design of the program, review the achievements, and explore the challenges we face. We are open to collaboration with similar educational outreach programs. For more information, please visit http://www.indiana.edu/~fsm/ .
On performing concepts during science lectures
Pozzer-Ardenghi, Lilian; Roth, Wolff-Michael
2007-01-01
When lecturing, teachers make use of both verbal and nonverbal communication. What is called teaching, therefore, involves not only the words and sentences a teacher utters and writes on the board during a lesson, but also all the hands/arms gestures, body movements, and facial expressions a teacher performs in the classroom. All of these communicative modalities constitute resources that are made available to students for making sense of and learning from lectures. Yet in the literature on teaching science, these other means of communication are little investigated and understood - and, correspondingly, they are undertheorized. The purpose of this position paper is to argue for a different view of concepts in lectures: they are performed simultaneously drawing on and producing multiple resources that are different expressions of the same holistic meaning unit. To support our point, we provide examples from a database of 26 lectures in a 12th-grade biology class, where the human body was the main topic of study. We analyze how different types of resources - including verbal and nonverbal discourse and various material artifacts - interact during lectures. We provide evidence for the unified production of these various sense-making resources during teaching to constitute a meaning unit, and we emphasize particularly the use of gestures and body orientations inside this meaning unit. We suggest that proper analyses of meaning units need to take into account not only language and diagrams but also a lecturer's pointing and depicting gestures, body positions, and the relationships between these different modalities. Scientific knowledge (conceptions) exists in the concurrent display of all sense-making resources, which we, following Vygotsky, understand as forming a unit (identity) of nonidentical entities.
Texas Academy of Mathematics and Science: 25 Years of Early College STEM Opportunities
Sayler, Michael F.
2015-01-01
The University of North Texas's Texas Academy of Mathematics and Science began admitting students to its 2-year early college entrance science, technology, engineering, and mathematics (STEM) program in the fall of 1988. This program provided accelerated entry for top students in Texas in the areas of mathematics and science. Approximately 200…
2012-11-26
...; Comment Request; Mathematics and Science Partnerships Program: Annual Performance Report AGENCY: Office of... notice will be considered public records. Title of Collection: Mathematics and Science Partnerships... Mathematics and Science Partnerships (MSP) program is a formula grant program to the States in which states...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In this paper, we provide combinatorial meanings to two generalized basic series ... These results are an extension of the work of Goyal and Agarwal (Utilitas Math. ... of Basic and Applied Sciences, University College of Engineering, Punjabi ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Exponential function method; nonlinear ordinary differential equations; viscous flow; ... The method is applied to two problems: viscous flow due to a stretching sheet ... School of Computing Sciences and Engineering, The University of Salford, ...
SOME ASPECTS OF USING MATHEMATICS IN MEDICAL SCIENCES
Directory of Open Access Journals (Sweden)
Ivana Ilic
2008-01-01
Full Text Available The aim of the paper was to present some new possibilities of using mathematicsin medical sciences and medical practice. The so-called mathematical way of thinkingis presented, which is, basically, the starting point of usual way of thinking, and alsothe essence of scientific and technological literacy, necessary for the development oftheoretical and practical modern medicine. The aim of the paper was to show that it isreasonable to choose certain mathematical points of view, present them to thestudents of medicine, and thus, help them to use that knowledge in their futurestudies in order to be more successful in their professions. Modern mathematical andstatistical methods are important in professional and scientific work in clinical andlaboratory environment.
Mathematical Modelling in Engineering: A Proposal to Introduce Linear Algebra Concepts
Cárcamo Bahamonde, Andrea; Gómez Urgelles, Joan; Fortuny Aymemí, Josep
2016-01-01
The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasise the development of mathematical abilities primarily associated with modelling and interpreting, which are not exclusively calculus abilities. Considering this, an instructional design was created based on mathematical modelling and…
Mathematical modeling and signal processing in speech and hearing sciences
Xin, Jack
2014-01-01
The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter.
Mathematical and Statistical Methods for Actuarial Sciences and Finance
Legros, Florence; Perna, Cira; Sibillo, Marilena
2017-01-01
This volume gathers selected peer-reviewed papers presented at the international conference "MAF 2016 – Mathematical and Statistical Methods for Actuarial Sciences and Finance”, held in Paris (France) at the Université Paris-Dauphine from March 30 to April 1, 2016. The contributions highlight new ideas on mathematical and statistical methods in actuarial sciences and finance. The cooperation between mathematicians and statisticians working in insurance and finance is a very fruitful field, one that yields unique theoretical models and practical applications, as well as new insights in the discussion of problems of national and international interest. This volume is addressed to academicians, researchers, Ph.D. students and professionals.
Jacobowitz, Tina
Science career preferences of junior high school-aged students, while not stable predictors of ultimate career choice, do serve to direct and maintain individuals along the paths to careers in science. In this study, factors relevant to science career preferences of black eighth grade students were investigated. This issue is of particular import to blacks since they are severely underrepresented in the scientific fields. The sample consisted of 113 males and 148 females in an inner city junior high school. The Science Career Preference Scale, the Peabody Picture Vocabulary Test, and the Self-Concept of Ability Scale (Form B-Science) were administered. Mathematics and science grades were obtained from class rating sheets. Treatment of the data involved multiple regression analysis according to a hierarchical model. Results showed that of all the independent variables, sex was the strongest predictor of science career preferences, accounting for 25% of the criterion variance. The findings suggest that early adolescent science career preferences are related more to interests that are consonant with sex-role considerations than realistic assessment of mathematics or science achievement.
Dubetz, Terry A.; Wilson, Jo Ann
2013-01-01
Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
The concept of `topological right transversal' is introduced to study right transversals in topological groups. Given any right quasigroup with a Tychonoff topology , it is proved that there exists a Hausdorff topological group in which can be embedded algebraically and topologically as a right transversal of a subgroup ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In this article, we study the concept of Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations. We establish the results with Lipschitz condition and without Lipschitz condition on the forcing term. An interesting example is presented to illustrate the main findings.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In this paper, we study the noncommutative Orlicz space L φ ( M ~ , τ ) ,which generalizes the concept of noncommutative L p space, where M is a von Neumann algebra, and φ is an Orlicz function. As a modular space, the space L φ ( M ~ , τ ) possesses the Fatou property, and consequently, it is a Banach space. In addition ...
Marinez, Diana I.; Ortiz de Montellano, Bernardo R.
There are many ways in which science can be made culturally relevant: archeoastronomy, mathematics, geology, ethnobotany, chemistry, and art can all be taught from a perspective celebrating the accomplishments of Mexican American and American Indian science and encouraging exploration. A culturally relevant curriculum provides teachers with…
STEM Education and Leadership: A Mathematics and Science Partnership Approach
Twyford, John; Järvinen, Esa-Matti
2010-01-01
The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that...
Introductory life science mathematics and quantitative neuroscience courses.
Duffus, Dwight; Olifer, Andrei
2010-01-01
We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses.
Angraini, L. M.; Kusumah, Y. S.; Dahlan, J. A.
2018-05-01
This study aims to see the enhancement of mathematical analogical reasoning ability of the university students through concept attainment model learning based on overall and Prior Mathematical Knowledge (PMK) and interaction of both. Quasi experiments with the design of this experimental-controlled equivalent group involved 54 of second semester students at the one of State Islamic University. The instrument used is pretest-postest. Kolmogorov-Smirnov test, Levene test, t test, two-way ANOVA test were used to analyse the data. The result of this study includes: (1) The enhancement of the mathematical analogical reasoning ability of the students who gets the learning of concept attainment model is better than the enhancement of the mathematical analogical reasoning ability of the students who gets the conventional learning as a whole and based on PMK; (2) There is no interaction between the learning that is used and PMK on enhancing mathematical analogical reasoning ability.
Atar, Hakan Yavuz
Creating a scientifically literate society appears to be the major goal of recent science education reform efforts (Abd-El-Khalick, Boujaoude, Dushl, Lederman, Hofstein, Niaz, Tregust, & Tuan, 2004). Recent national reports in the U.S, such as Shaping the Future, New Expectations for Undergraduate Education in Science, Mathematics, Engineering, and Technology (NSF,1996), Inquiry in Science and In Classroom, Inquiry and the National Science Education Standards (NRC, 2001), Pursuing excellence: Comparison of international eight-grade mathematics and science achievement from a U.S. perspective (NCES, 2001), and Standards for Science Teacher Preparation (NSTA 2003) appear to agree on one thing: the vision of creating a scientifically literate society. It appears from science education literature that the two important components of being a scientifically literate individual are developing an understanding of nature of science and ability to conduct scientific inquiries. Unfortunately, even though teaching science through inquiry has been recommended in national reports since the 1950's, it has yet to find its way into many science classrooms (Blanchard, 2006; Yerrick, 2000). Science education literature identfies several factors for this including: (1) lack of content knowledge (Anderson, 2002; Lee, Hart Cuevas, & Enders, 2004; Loucks-Horsely, Hewson, Love, & Stiles, 1998; Moscovici, 1999; Smith & Naele, 1989; Smith, 1989); (2) high stake tests (Aydeniz, 2006); (3) teachers' conflicting beliefs with inquiry-based science education reform (Blanchard, 2006; Wallace & Kang, 2004); and, (4) lack of collaboration and forums for communication (Anderson, 2002; Davis, 2003; Loucks-Horsely, Hewson, Love, & Stiles, 1998; Wallace & Kang, 2004). In addition to the factors stated above this study suggest that some of the issues and problems that have impeded inquiry instruction to become the primary approach to teaching science in many science classrooms might be related to
Weight, Mass, and Gravity: Threshold Concepts in Learning Science
Bar, Varda; Brosh, Yaffa; Sneider, Cary
2016-01-01
Threshold concepts are essential ideas about the natural world that present either a barrier or a gateway to a deep understanding of science. Weight, mass, and gravity are threshold concepts that underpin students' abilities to understand important ideas in all fields of science, embodied in the performance expectations in the Next Generation…
Science, Technology and Innovation: Concepts, Theory and Policy
Zehra Taşkın; Güleda Doğan
2016-01-01
This study is a review of the book entitled “Science, Technology and Innovation: Concepts, Theory and Policy”. In the converging world, the book is an important contribution not only for the field of economy, but also information science which includes information-economy concepts.
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
In this paper, we prove an interesting reciprocity formula for a certain case of a general Dedekind sums using analytic methods and the Fourier expansion of the Bernoulli polynomials. Author Affiliations. Yuan Yi1. Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, People's Republic of ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
All correspondence regarding subscription within India should be addressed to: The Circulation Department Indian Academy of Sciences, C V Raman Avenue, Bengaluru 560 080, India. Download the Order Form (2018): Institution and Personal. Please Note: Starting 2007, all International Subscriptions are handled by ...
Proceedings – Mathematical Sciences | Indian Academy of Sciences
Indian Academy of Sciences (India)
Using Ramanujan's identities and the Weierstrass--Enneper representation of minimal surfaces, and the analogue for Born--Infeld solitons, we derive further nontrivial identities. Author Affiliations. RUKMINI DEY1. International Centre for Theoretical Sciences (ICTS)-TIFR, Survey No. 151, Shivakote, Hesaraghatta ...
Academic Self-Concept: Modeling and Measuring for Science
Hardy, Graham
2014-08-01
In this study, the author developed a model to describe academic self-concept (ASC) in science and validated an instrument for its measurement. Unlike previous models of science ASC, which envisage science as a homogenous single global construct, this model took a multidimensional view by conceiving science self-concept as possessing distinctive facets including conceptual and procedural elements. In the first part of the study, data were collected from 1,483 students attending eight secondary schools in England, through the use of a newly devised Secondary Self-Concept Science Instrument, and structural equation modeling was employed to test and validate a model. In the second part of the study, the data were analysed within the new self-concept framework to examine learners' ASC profiles across the domains of science, with particular attention paid to age- and gender-related differences. The study found that the proposed science self-concept model exhibited robust measures of fit and construct validity, which were shown to be invariant across gender and age subgroups. The self-concept profiles were heterogeneous in nature with the component relating to self-concept in physics, being surprisingly positive in comparison to other aspects of science. This outcome is in stark contrast to data reported elsewhere and raises important issues about the nature of young learners' self-conceptions about science. The paper concludes with an analysis of the potential utility of the self-concept measurement instrument as a pedagogical device for science educators and learners of science.
Science Literacy: Concepts, Contexts, and Consequences
Snow, Catherine E., Ed.; Dibner, Kenne A., Ed.
2016-01-01
Science is a way of knowing about the world. At once a process, a product, and an institution, science enables people to both engage in the construction of new knowledge as well as use information to achieve desired ends. Access to science--whether using knowledge or creating it--necessitates some level of familiarity with the enterprise and…
Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.
White, Jennifer Meux; Hosoume, Kimi
The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…
Sociocultural context as a facilitator of student learning of function concepts in mathematics
Directory of Open Access Journals (Sweden)
Evangelina Díaz Obando
2016-03-01
Full Text Available In Costa Rica, many secondary students have serious difficulties to establish relationships between mathematics and real-life contexts. They question the utilitarian role of the school mathematics. This fact motivated the research object of this report which evidences the need to overcome methodologies unrelated to students’ reality, toward new didactical options that help students to value mathematics, reasoning and its applications, connecting it with their socio-cultural context. The research used a case study as a qualitative methodology and the social constructivism as an educational paradigm in which the knowledge is built by the student; as a product of his social interactions. A collection of learning situations was designed, validated, and implemented. It allowed establishing relationships between mathematical concepts and the socio-cultural context of participants. It analyzed the impact of students’socio-cultural context in their mathematics learning of basic concepts of real variable functions, consistent with the Ministry of Education (MEP Official Program. Among the results, it was found that using students’sociocultural context improved their motivational processes, mathematics sense making, and promoted cooperative social interactions. It was evidenced that contextualized learning situations favored concepts comprehension that allow students to see mathematics as a discipline closely related with their every-day life.
Directory of Open Access Journals (Sweden)
Ирина Викторовна Кузнецова
2012-12-01
Full Text Available The paper proposes the concept of learning activities in online communities for teaching algebraic structures of the future teachers of mathematics, including a set of theoretical and methodological positions, laws, principles, factors, and pedagogical conditions of its implementation. Work is executed with support of the Russian fund of basic researches under the initiative project № 11-07-00733 «The Hypertext information retrieval thesaurus» a science Meta language» (structure; mathematical, linguistic and program maintenance; sections linguistics, mathematics, economy».
Pre-Service Physics Teachers' Conceptions of Nature of Science
Buaraphan, Khajornsak
2011-01-01
Understanding of NOS (nature of science) appears as a prerequisite of a scientifically literate person. Promoting adequate understanding of NOS in pre-service physics teachers is, therefore, an important task of science educators. Before doing that, science educators must have information concerning their pre-service teachers' conceptions of NOS.…
Teachers' and Students' Conceptions of Good Science Teaching
Yung, Benny Hin Wai; Zhu, Yan; Wong, Siu Ling; Cheng, Man Wai; Lo, Fei Yin
2013-01-01
Capitalizing on the comments made by teachers on videos of exemplary science teaching, a video-based survey instrument on the topic of "Density" was developed and used to investigate the conceptions of good science teaching held by 110 teachers and 4,024 year 7 students in Hong Kong. Six dimensions of good science teaching are identified…
Cetinkaya, Bulent; Kertil, Mahmut; Erbas, Ayhan Kursat; Korkmaz, Himmet; Alacaci, Cengiz; Cakiroglu, Erdinc
2016-01-01
Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers' developing conceptions about (a) the nature of mathematical modeling in simulations of "real life" problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike…
Mathematical rationalization for the renal tubular transport: revised concepts.
Mioni, Roberto; Marega, Alessandra; Romano, Giulio; Montanaro, Domenico
2017-09-01
The current emphasis on kinetics and in situ control of molecular exchanges, across the tubular membrane, has not been paralleled by corresponding improvements in our understanding of tubular behaviour at the macroscopic level of classical physiology. In this paper, we propose a mathematical rationalization of macroscopic tubular transport by means of a principal transport equation, originating from the law of mass action between substrate and carrier. The other equations, derived from the main one, demonstrate the possibility of distinguishing between transporters with low affinity and high capacity and transporters with high affinity and low capacity. Moreover, our model formalizes both tubular reabsorption and tubular secretion. Regarding the renal calcium handling, our model confirms the two-compartment system proposed by Mioni in 1971, with some important variants, which are in agreement with the fractional reabsorptions of this cation along the tubule, as verified by micro-puncture technique. To obtain the frequency distribution of saturated tubules, we have utilized the infinitesimal analysis method, starting from the equations proposed by Smith in 1943, concluding that all titration curves result from the combined effect of enzymatic approach and anatomical heterogeneity of the nephrons. The theoretical equations included in our manuscript reflect substantial and palpable physiological mechanisms able to suggest diagnosis and therapy of some electrolyte and hormonal disorders. At the end of this paper, we highlight advantages and disadvantages detectable by comparing our mathematical approach with Marshall's and Bijvoet's methods, proposed, respectively, in 1976 and 1984.
Cambridge Conference on School Mathematics, Newton, MA.
This is The Report of the 1967 Cambridge Conference on the Correlation of Science and Mathematics in the Schools. It is addressed to professionals in education, and is designed to stimulate dialogue among them concerning the mathematics-science curriculum. The report is organized in five chapters, each dealing respectively with (1) educational…
The self-concept of chiropractic students as science students
Shields, Robert F.
2005-01-01
Abstract Purpose To determine the self-concepts of chiropractic students as science students and if any personal variable affect their self-concepts. Participants Students in their first trimester and eighth trimester at the Los Angeles College of Chiropractic during the 1993 academic year (n=158). Methods Peterson-Yaakobi Q-Sort, National Assessment of Educational Progress, two-tailed T-test, one way analysis of variance and Spearman-rho correlation. Results The majority of students have positive self- concepts as science students and although there was a difference between the 2 trimesters, it was not significant. As a group they generally had less exposure to science compared to undergraduates from a selected science program. Variables of socio-economic status, undergraduate major, and highest completed level of education did not statistically affect their self-concept. Conclusion Chiropractic students had the self-concept that enables them to subscribe to the philosophical foundations of science and better engage in basic sciences and, later, science-based clinical research. Knowledge of this self- concept can be used in the development of a more rigorous basic science curricula and clinical research programs at chiropractic colleges with the ultimate goal of providing a more firm scientifically based foundation for the profession. PMID:19674649
Logical studies of paraconsistent reasoning in science and mathematics
Verdée, Peter
2016-01-01
This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic th...
Dijksterhuis, Fokko Jan
2004-01-01
In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of natural knowledge. This book discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to Traité de la Lumière. For the first time, the full range of manuscript sources is taken into account. In addition, the development of Huygens' thinking on the nature of light is put in t
Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki
2014-01-01
This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.
Wright, Ann; Provost, Joseph; Roecklein-Canfield, Jennifer A; Bell, Ellis
2013-01-01
Over the past two years, through an NSF RCN UBE grant, the ASBMB has held regional workshops for faculty members from around the country. The workshops have focused on developing lists of Core Principles or Foundational Concepts in Biochemistry and Molecular Biology, a list of foundational skills, and foundational concepts from Physics, Chemistry, and Mathematics that all Biochemistry or Molecular Biology majors must understand to complete their major coursework. The allied fields working group created a survey to validate foundational concepts from Physics, Chemistry, and Mathematics identified from participant feedback at various workshops. One-hundred twenty participants responded to the survey and 68% of the respondents answered yes to the question: "We have identified the following as the core concepts and underlying theories from Physics, Chemistry, and Mathematics that Biochemistry majors or Molecular Biology majors need to understand after they complete their major courses: 1) mechanical concepts from Physics, 2) energy and thermodynamic concepts from Physics, 3) critical concepts of structure from chemistry, 4) critical concepts of reactions from Chemistry, and 5) essential Mathematics. In your opinion, is the above list complete?" Respondents also delineated subcategories they felt should be included in these broad categories. From the results of the survey and this analysis the allied fields working group constructed a consensus list of allied fields concepts, which will help inform Biochemistry and Molecular Biology educators when considering the ASBMB recommended curriculum for Biochemistry or Molecular Biology majors and in the development of appropriate assessment tools to gauge student understanding of how these concepts relate to biochemistry and molecular biology. © 2013 by The International Union of Biochemistry and Molecular Biology.
Atar, Hakan Yavuz; Gallard, Alejandro
2011-01-01
In addition to recommending inquiry as the primary approach to teaching science, developers of recent reform efforts in science education have also strongly suggested that teachers develop a sound understanding of the nature of science. Most studies on teachers' NOS conceptions and inquiry beliefs investigated these concepts of teachers' NOS…
Subramaniam, Karthigeyan
2013-01-01
This study explores five minority preservice teachers' conceptions of teaching science and identifies the sources of their strategies for helping students learn science. Perspectives from the literature on conceptions of teaching science and on the role constructs used to describe and distinguish minority preservice teachers from their mainstream…
PRE-SERVICE MATHEMATICS TEACHERS’ CONCEPTION OF HIGHER-ORDER THINKING LEVEL IN BLOOM'S TAXONOMY
Damianus D Samo
2017-01-01
The purpose of this study is to explore pre-service mathematics teachers' conception of higher-order thinking in Bloom's Taxonomy, to explore pre-service mathematics teachers' ability in categorizing six cognitive levels of Bloom's Taxonomy as lower-order thinking and higher-order thinking, and pre-service mathematics teachers' ability in identifying some questionable items as lower-order and higher-order thinking. The higher-order thinking is the type of non-algorithm thinking which include ...
New trends and advanced methods in interdisciplinary mathematical sciences
2017-01-01
The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.
Aspects of Mathematical Modelling Applications in Science, Medicine, Economics and Management
Hosking, Roger J
2008-01-01
The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Partial Support of Meeting of the Board on Mathematical Sciences and Their Applications
Energy Technology Data Exchange (ETDEWEB)
Weidman, Scott [National Academy of Sciences, Washington DC (United States)
2014-08-31
During the performance period, BMSA released the following major reports: Transforming Combustion Research through Cyberinfrastructure (2011); Assessing the Reliability of Complex Models: Mathematical and Statistical Foundations of Verification, Validation, and Uncertainty Quantification (2012); Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century (2012); Aging and the Macroeconomy: Long-Term Implications of an Older Population (2012); The Mathematical Sciences in 2025 (2013); Frontiers in Massive Data Analysis (2013); and Developing a 21st Century Global Library for Mathematics Research (2014).
Finite mathematics models and applications
Morris, Carla C
2015-01-01
Features step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability Featuring key linear programming, matrix, and probability concepts, Finite Mathematics: Models and Applications emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging from business, economics, finance, management, operations research, and the life and social sciences.
Information science and its core concepts
DEFF Research Database (Denmark)
Hjørland, Birger
2013-01-01
One often encounters disagreements in information science (IS) (or library and information science, LIS), even disagreements about what might seem rather trivial questions. Such disagreements range from the designation of the field to questions such as whether IS is an academic discipline or not...... terminological hygiene” may account for some of the disagreements, but basically the problem is seen as a lack of sufficient strong centripetal tendencies keeping the field together....
Applying science and mathematics to big data for smarter buildings.
Lee, Young M; An, Lianjun; Liu, Fei; Horesh, Raya; Chae, Young Tae; Zhang, Rui
2013-08-01
Many buildings are now collecting a large amount of data on operations, energy consumption, and activities through systems such as a building management system (BMS), sensors, and meters (e.g., submeters and smart meters). However, the majority of data are not utilized and are thrown away. Science and mathematics can play an important role in utilizing these big data and accurately assessing how energy is consumed in buildings and what can be done to save energy, make buildings energy efficient, and reduce greenhouse gas (GHG) emissions. This paper discusses an analytical tool that has been developed to assist building owners, facility managers, operators, and tenants of buildings in assessing, benchmarking, diagnosing, tracking, forecasting, and simulating energy consumption in building portfolios. © 2013 New York Academy of Sciences.
Research in progress in applied mathematics, numerical analysis, and computer science
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.
1987-10-01
include Security Classification) Instrumentation for scientific computing in neural networks, information science, artificial intelligence, and...instrumentation grant to purchase equipment for support of research in neural networks, information science, artificail intellignece , and applied mathematics...in Neural Networks, Information Science, Artificial Intelligence, and Applied Mathematics Contract AFOSR 86-0282 Principal Investigator: Stephen
Chang, Jen-Mei; Kwon, Chuhee; Stevens, Lora; Buonora, Paul
2016-01-01
This article presents implementation details and findings of a National Science Foundation Scholarship in Science, Technology, Engineering, and Mathematics Program (S-STEM) consisting of many high-impact practices to recruit and retain students in the physical sciences and mathematics programs, particularly first-generation and underrepresented…
Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.
2017-01-01
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…
Future Science Teachers' Understandings of Diffusion and Osmosis Concepts
Tomazic, Iztok; Vidic, Tatjana
2012-01-01
The concepts of diffusion and osmosis cross the disciplinary boundaries of physics, chemistry and biology. They are important for understanding how biological systems function. Since future (pre-service) science teachers in Slovenia encounter both concepts at physics, chemistry and biology courses during their studies, we assessed the first-,…
Non-Determinism: An Abstract Concept in Computer Science Studies
Armoni, Michal; Gal-Ezer, Judith
2007-01-01
Non-determinism is one of the most important, yet abstract, recurring concepts of Computer Science. It plays an important role in Computer Science areas such as formal language theory, computability theory, distributed computing, and operating systems. We conducted a series of studies on the perception of non-determinism. In the current research,…
The Nature of Science in Science Curricula: Methods and Concepts of Analysis
Ferreira, Sílvia; Morais, Ana M.
2013-01-01
The article shows methods and concepts of analysis of the nature of science in science curricula through an exemplary study made in Portugal. The study analyses the extent to which the message transmitted by the Natural Science curriculum for Portuguese middle school considers the nature of science. It is epistemologically and sociologically…
Minásbate Equivalents of Mathematical Concepts: Their Socio-Cultural Undertones
Balbuena, Sherwin E.; Cantoria, Uranus E.; Cantoria, Amancio L., Jr.; Ferriol, Eny B.
2015-01-01
This paper presents the collection and analysis of Minásbate equivalents of some concepts used in the study of arithmetic, counting, and geometry as provided by the elderly residents of the province of Masbate. The glossary of mathematical terms derived from interviews would serve as an authoritative reference for mother tongue teachers in the…
Sumpter, Lovisa
2016-01-01
This study examines Swedish upper secondary school teachers' gendered conceptions about students' mathematical reasoning: whether reasoning was considered gendered and, if so, which type of reasoning was attributed to girls and boys. The sample consisted of 62 teachers from six different schools from four different locations in Sweden. The results…
The Power of Colombian Mathematics Teachers' Conceptions of Social/Institutional Factors of Teaching
Agudelo-Valderrama, Cecilia
2008-01-01
In this paper I shall discuss data from a study on Colombian mathematics teachers' conceptions of their own teaching practices of beginning algebra, which led to the development of a theoretical model of teachers' thought structures designed as a thinking tool at the initial stage of the study. With a focus on the perspectives of teachers, the…
The Vital Role of Basic Mathematics in Teaching and Learning the Mole Concept
Mehrotra, Alka; Koul, Anjni
2016-01-01
This article focuses on the importance of activity-based teaching in understanding the mole concept and the vital role of basic mathematical operations. It describes needs-based training for teachers in a professional development programme in India. Analysis of test results before and after the training indicates that teachers improved their…
The Impact of the Flipped Classroom on Mathematics Concept Learning in High School
Bhagat, Kaushal Kumar; Chang, Cheng-Nan; Chang, Chun-Yen
2016-01-01
The present study aimed to examine the effectiveness of the flipped classroom learning environment on learner's learning achievement and motivation, as well as to investigate the effects of flipped classrooms on learners with different achievement levels in learning mathematics concepts. The learning achievement and motivation were measured by the…
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…
Brown, Michelle Cetner
In recent years, Science, Technology, Engineering, and Mathematics (STEM) education has become a significant focus of numerous theoretical and commentary articles as researchers have advocated for active and conceptually integrated learning in classrooms. Drawing connections between previously isolated subjects, especially mathematics and science, has been shown to increase student engagement, performance, and critical thinking skills. However, obstacles exist to the widespread implementation of integrated curricula in schools, such as teacher knowledge and school structure and culture. The Interdisciplinary Co-planning Team (ICT) model, in which teachers of different subjects come together regularly to discuss connections between content and to plan larger interdisciplinary activities and smaller examples and discussion points, offers a method for teachers to create sustainable interdisciplinary experiences for students within the bounds of the current school structure. The ICT model is designed to be an iterative, flexible model, providing teachers with both a regular time to come together as "experts" and "teach" each other important concepts from their separate disciplines, and then to bring their shared knowledge and language back to their own classrooms to implement with their students in ways that fit their individual classes. In this multiple-case study, which aims to describe the nature of the co-planning process, the nature of plans, and changes in teacher beliefs as a result of co-planning, three pairs of secondary mathematics and science teachers participated in a 10-week intervention with the ICT model. Each pair constituted one case. Data included observations, interviews, and artifact collection. All interviews, whole-group sessions, and co-planning sessions were transcribed and coded using both theory-based and data-based codes. Finally, a cross-case comparison was used to present similarities and differences across cases. Findings suggest that the
Bélair, Jacques; Kunze, Herb; Makarov, Roman; Melnik, Roderick; Spiteri, Raymond J
2016-01-01
Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science a...
Concept of hegemony in contemporary geopolitical science
Directory of Open Access Journals (Sweden)
M. A. Shepyelyev
2017-07-01
Full Text Available The article discusses the main conceptual approaches to understanding the nature and patterns of functioning and development of hegemony in international relations. Analysed the contribution to the development of research hegemony in international relations, which has made the school world-system analysis. According to its founder F. Braudel, the hegemony of the world is a manifestation of inequality, the latter reveals the structural realities that are approved very slowly, very slowly disappear. The concept of a follower of Fernand Braudel, Emmanuel Wallerstein, according to which the hegemony reflects the ability of a particular state to make one part of the international system to its customers, and the second - to drive into a defensive position. The development of the «modern world-system» is defined by Wallerstein changes hegemony. Wallerstein argues that the State has the ability to create a stable geopolitical system of unequal social division of powers, which are part of the normal functioning of the capitalist world-economy. It is also noted that the pattern of ups and downs of world leaders - hegemony - are considered in the research of many scientists, including George Modelski. He develops a theory about hundred-year cycle of global leadership, using the term «selection» to describe the process of competition and the adoption of this role. Among the concepts of hegemony also highlighted the Charles Krauthammer’s conception of monopolarity, on which the present geopolitical structure of the world after the «cold war» - one pole of world power , consisting of the United States as the top of the industrial West. Analyzed the Piter Taylor’s conception of global hegemony, which distinguishes the competitive and non-competitive era, successive, and the Nail Ferguson’s conception of imperialism. The paper shows that the problem of hegemony in the 70-th years passed from the purely theoretical plane into practical politics
Rous, Philip
2013-03-01
Over the past two decades, UMBC has undertaken a series of efforts to broaden participation in the natural sciences and mathematics, beginning with the establishment of the Meyerhoff program. Using as examples the multiple initiatives that followed, and with a focus on the challenge of increasing access and success of all students who enter as both freshmen and transfer students, I will describe a model of culture change that we have employed repeatedly to understand and guide our efforts in broadening participation. Particular attention will be paid to the concept of cultural capital, the role of innovators and the challenge of scaling small-scale innovations towards institutional change. Supported by the National Science Foundation and the Bill and Melinda Gates Foundation.
Helma, H.; Mirna, M.; Edizon, E.
2018-04-01
Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced
Framing discourse for optimal learning in science and mathematics
Megowan, Mary Colleen
2007-12-01
This study explored the collaborative thinking and learning that occurred in physics and mathematics classes where teachers practiced Modeling Instruction. Four different classes were videotaped---a middle school mathematics resource class, a 9th grade physical science class, a high school honors physics class and a community college engineering physics course. Videotapes and transcripts were analyzed to discover connections between the conceptual structures and spatial representations that shaped students' conversations about space and time. Along the way, it became apparent that students' and teachers' cultural models of schooling were a significant influence, sometimes positive and sometimes negative, in students' engagement and metaphor selection. A growing number of researchers are exploring the importance of semiotics in physics and mathematics, but typically their unit of analysis is the individual student. To examine the distributed cognition that occurred in this unique learning setting, not just among students but also in connection with their tools, artifacts and representations, I extended the unit of analysis for my research to include small groups and their collaborative work with whiteboarded representations of contextual problems and laboratory exercises. My data revealed a number of interesting insights. Students who constructed spatial representations and used them to assist their reasoning, were more apt to demonstrate a coherent grasp of the elements, operations, relations and rules that govern the model under investigation than those who relied on propositional algebraic representations of the model. In classrooms where teachers permitted and encouraged students to take and hold the floor during whole-group discussions, students learned to probe one another more deeply and conceptually. Shared representations (whether spatial or propositional/algebraic), such as those that naturally occurred when students worked together in small groups to
McGee, Daniel; Moore-Russo, Deborah
2015-01-01
A test project at the University of Puerto Rico in Mayagüez used GeoGebra applets to promote the concept of multirepresentational fluency among high school mathematics preservice teachers. For this study, this fluency was defined as simultaneous awareness of all representations associated with a mathematical concept, as measured by the ability to…
A Teacher's Conception of Definition and Use of Examples When Doing and Teaching Mathematics
Johnson, Heather Lynn; Blume, Glendon W.; Shimizu, Jeanne K.; Graysay, Duane; Konnova, Svetlana
2014-01-01
To contribute to an understanding of the nature of teachers' mathematical knowledge and its role in teaching, the case study reported in this article investigated a teacher's conception of a metamathematical concept, definition, and her use of examples in doing and teaching mathematics. Using an enactivist perspective on mathematical…
Kamoru, Usman; Ramon, Olosunde Gbolagade
2017-01-01
This study examined the relationship between self-concept, attitude of the students towards mathematics, and math achievement. Also, this study investigated the influence of study habits on achievement; study habits on attitude of students to mathematics. The influence of gender and self-concept and study habit group on achievement and attitude…
What the World Needs Now: More Women in Mathematics and Science.
Wallace, Joy
1989-01-01
"Expanding Your Horizons in Science and Mathematics" conferences in Berkeley, California, are designed to nurture girls' interest in science and math courses and encourage them to consider nontraditional career options. (TE)
Mathematical and statistical methods for actuarial sciences and finance
Sibillo, Marilena
2014-01-01
The interaction between mathematicians and statisticians working in the actuarial and financial fields is producing numerous meaningful scientific results. This volume, comprising a series of four-page papers, gathers new ideas relating to mathematical and statistical methods in the actuarial sciences and finance. The book covers a variety of topics of interest from both theoretical and applied perspectives, including: actuarial models; alternative testing approaches; behavioral finance; clustering techniques; coherent and non-coherent risk measures; credit-scoring approaches; data envelopment analysis; dynamic stochastic programming; financial contagion models; financial ratios; intelligent financial trading systems; mixture normality approaches; Monte Carlo-based methodologies; multicriteria methods; nonlinear parameter estimation techniques; nonlinear threshold models; particle swarm optimization; performance measures; portfolio optimization; pricing methods for structured and non-structured derivatives; r...
Developing self-concept instrument for pre-service mathematics teachers
Afgani, M. W.; Suryadi, D.; Dahlan, J. A.
2018-01-01
This study aimed to develop self-concept instrument for undergraduate students of mathematics education in Palembang, Indonesia. Type of this study was development research of non-test instrument in questionnaire form. A Validity test of the instrument was performed with construct validity test by using Pearson product moment and factor analysis, while reliability test used Cronbach’s alpha. The instrument was tested by 65 undergraduate students of mathematics education in one of the universities at Palembang, Indonesia. The instrument consisted of 43 items with 7 aspects of self-concept, that were the individual concern, social identity, individual personality, view of the future, the influence of others who become role models, the influence of the environment inside or outside the classroom, and view of the mathematics. The result of validity test showed there was one invalid item because the value of Pearson’s r was 0.107 less than the critical value (0.244; α = 0.05). The item was included in social identity aspect. After the invalid item was removed, Construct validity test with factor analysis generated only one factor. The Kaiser-Meyer-Olkin (KMO) coefficient was 0.846 and reliability coefficient was 0.91. From that result, we concluded that the self-concept instrument for undergraduate students of mathematics education in Palembang, Indonesia was valid and reliable with 42 items.
TDmat--Mathematics Diagnosis Evaluation Test for Engineering Sciences Students
Pinto, J. S.; Oliveira, M. P.; Anjo, A. B.; Pais, S. I. Vieira; Isidro, R. O.; Silva, M. H.
2007-01-01
Since 1989, the Mathematics Education Project (PmatE--Projecto Matematica Ensino) has developed several strategies to improve the success of students in Mathematics. The most important of these are mathematical games for all grades above primary school. The online evaluation of Mathematics subjects is one of PmatE's goals. The implementation of an…
Nurhasanah, F.; Kusumah, Y. S.; Sabandar, J.; Suryadi, D.
2018-05-01
As one of the non-conventional mathematics concepts, Parallel Coordinates is potential to be learned by pre-service mathematics teachers in order to give them experiences in constructing richer schemes and doing abstraction process. Unfortunately, the study related to this issue is still limited. This study wants to answer a research question “to what extent the abstraction process of pre-service mathematics teachers in learning concept of Parallel Coordinates could indicate their performance in learning Analytic Geometry”. This is a case study that part of a larger study in examining mathematical abstraction of pre-service mathematics teachers in learning non-conventional mathematics concept. Descriptive statistics method is used in this study to analyze the scores from three different tests: Cartesian Coordinate, Parallel Coordinates, and Analytic Geometry. The participants in this study consist of 45 pre-service mathematics teachers. The result shows that there is a linear association between the score on Cartesian Coordinate and Parallel Coordinates. There also found that the higher levels of the abstraction process in learning Parallel Coordinates are linearly associated with higher student achievement in Analytic Geometry. The result of this study shows that the concept of Parallel Coordinates has a significant role for pre-service mathematics teachers in learning Analytic Geometry.
Pepin, B.; Hudson, B.; Buchberger, F.; Kansanen, P.
1999-01-01
This paper firstly explores the issues raised in the literature concerning epistemologies, beliefs and conceptions of mathematics and its teaching and learning. Secondly, it analyses the ways in which mathematics teachers’ classroom practices in England, France and Germany reflect teachers’ beliefs
Liou, Pey-Yan
2014-08-01
The purpose of this study is to examine the relationship between student self-concept and achievement in science in Taiwan based on the big-fish-little-pond effect (BFLPE) model using the Trends in International Mathematics and Science Study (TIMSS) 2003 and 2007 databases. Hierarchical linear modeling was used to examine the effects of the student-level and school-level science achievement on student self-concept of learning science. The results indicated that student science achievement was positively associated with individual self-concept of learning science in both TIMSS 2003 and 2007. On the contrary, while school-average science achievement was negatively related to student self-concept in TIMSS 2003, it had no statistically significant relationship with student self-concept in TIMSS 2007. The findings of this study shed light on possible explanations for the existence of BFLPE and also lead to an international discussion on the generalization of BFLPE.
Threshold concepts as barriers to understanding climate science
Walton, P.
2013-12-01
Whilst the scientific case for current climate change is compelling, the consequences of climate change have largely failed to permeate through to individuals. This lack of public awareness of the science and the potential impacts could be considered a key obstacle to action. The possible reasons for such limited success centre on the issue that climate change is a complex subject, and that a wide ranging academic, political and social research literature on the science and wider implications of climate change has failed to communicate the key issues in an accessible way. These failures to adequately communicate both the science and the social science of climate change at a number of levels results in ';communication gaps' that act as fundamental barriers to both understanding and engagement with the issue. Meyer and Land (2003) suggest that learners can find certain ideas and concepts within a discipline difficult to understand and these act as a barrier to deeper understanding of a subject. To move beyond these threshold concepts, they suggest that the expert needs to support the learner through a range of learning experiences that allows the development of learning strategies particular to the individual. Meyer and Land's research into these threshold concepts has been situated within Economics, but has been suggested to be more widely applicable though there has been no attempt to either define or evaluate threshold concepts to climate change science. By identifying whether common threshold concepts exist specifically in climate science for cohorts of either formal or informal learners, scientists will be better able to support the public in understanding these concepts by changing how the knowledge is communicated to help overcome these barriers to learning. This paper reports on the findings of a study that examined the role of threshold concepts as barriers to understanding climate science in a UK University and considers its implications for wider
Teaching excellence and achivement in mathematics and science
Energy Technology Data Exchange (ETDEWEB)
Thompson, A.D.
1996-12-31
This was a collaborative effort of Iowa State Univ. (College of Ed.), Ames, and the Ames Community Schools. Teams of four preservice teachers, one scientist, one classroom teacher, and one teacher educator were formed. Students in the project participated in a laboratory experience for 2 h/week, participated in a classroom experience for 2 hr/week, and attended seminar for 1 h/week. At end of each semester, studies and their cooperating scientists taught a lesson that included some of the material the students had worked with in the science laboratory. Results from interviews of project participants indicate that preservice teachers attitude and self concept toward science improved during the project. Results also suggest methods for making similar collaborative projects using scientists and teachers effective.
Pre-Service Secondary Science and Mathematics Teachers' Classroom Management Styles in Turkey
Yilmaz, Kursad
2009-01-01
The aim of this study is to determine Pre-service secondary science and mathematics teachers' classroom management styles in Turkey. In addition, differences in pre-service secondary science and mathematics teachers' classroom management styles by gender, and field of study were examined. In the study, the survey model was employed. The research…
Persisting mathematics and science high school teachers: A Q-methodology study
Robbins-Lavicka, Michelle M.
There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.
Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science
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…
Does Gender Inequality Influence Interest in Pursuing a Career in Science or Mathematics Teaching?
Morales, Marie Paz E.; Avilla, Ruel A.; Espinosa, Allen A.
2016-01-01
The present study explored gender inequality in K to 12 basic education, based on the experiences of first year pre-service science and mathematics teachers. It also determined if pre-service teachers' pursuit of a career in science or mathematics teaching was related to gender influences. A survey instrument was used to gather data for the study.…
Teachers Perspective of Using English as a Medium of Instruction in Mathematics and Science Subjects
Mansor, Norudin; Badarudin, Mohamed Ishak; Mat, Azman Che
2011-01-01
The policy of changing the medium of instruction in the teaching of mathematics and science from Bahasa Melayu to English is an important innovation affecting teachers of mathematics and science. It poses special challenges not only for teachers who have been trained in the Malay medium but also for those trained in English. This investigation…
Shafiq, M. Najeeb
2013-01-01
Using quantile regression analyses, this study examines gender gaps in mathematics, science, and reading in Azerbaijan, Indonesia, Jordan, the Kyrgyz Republic, Qatar, Tunisia, and Turkey among 15-year-old students. The analyses show that girls in Azerbaijan achieve as well as boys in mathematics and science and overachieve in reading. In Jordan,…
A Complex Formula: Girls and Women in Science, Technology, Engineering and Mathematics in Asia
Salmon, Aliénor
2015-01-01
What factors might be causing the low participation of women Science, Technology, Engineering and Mathematics (STEM) fields? What can be done to attract more girls and women into STEM in Asia and beyond? The report, "A Complex Formula. Girls and Women in Science, Technology, Engineering and Mathematics in Asia", answers three fundamental…
Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean
2014-01-01
The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…
Opinions of Secondary School Science and Mathematics Teachers on STEM Education
Yildirim, Bekir; Türk, Cumhur
2018-01-01
In this study, the opinions of middle school science teachers and mathematics teachers towards STEM education were examined. The research was carried out for 30 hours with 28 middle school science and mathematics teachers who were working in Istanbul during the spring semester of 2016-2017 academic year. 75% of these teachers are female teachers…
Rodriguez-Esquivel, Marina
The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.
Fox, Justine E.; Glen, Nicole J.
2012-01-01
Have your students ever wondered what NASA scientists do? Have they asked you what their science and mathematics lessons have to do with the real world? This unit about Earth's atmosphere can help to answer both of those questions. The unit described here showcases "content specific integration" of science and mathematics in that the lessons meet…
Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard
2008-01-01
High quality teachers are essential to improving the teaching and learning of mathematics and science, necessitating effective professional development (PD) and learning environments for teachers. However, many PD programs for science and mathematics teachers fall short because they fail to consider teacher background, experience, knowledge,…
Bond, Sharon C.
2012-01-01
This study was designed to examine the teacher characteristics, workplace factors, and type of induction supports that contribute to the retention of secondary science and mathematics teachers. Using the sample of secondary science and mathematics teachers extracted from the National Center for Educational Statistics (NCES) 2007-2008 Schools and…
Zhang, Danhui; Orrill, Chandra; Campbell, Todd
2015-01-01
The purpose of this study was to investigate whether mixture Rasch models followed by qualitative item-by-item analysis of selected Programme for International Student Assessment (PISA) mathematics and science items offered insight into knowledge students invoke in mathematics and science separately and combined. The researchers administered an…
Survey of Mathematics and Science Requirements for Production-Oriented Agronomy Majors.
Aide, Michael; Terry, Danny
1996-01-01
Analyzes course requirements to determine the amount of required mathematics and science for production-oriented agronomy majors. Reports that mathematics requirements center around college algebra and statistics; science requirements generally include chemistry, biology, plant physiology, and genetics; and land-grant institutions have a…
Noted astrophysicist Michael S. Turner to Head NSF'S mathematical and physical sciences directorate
2003-01-01
"The National Science Foundation has named celebrated astrophysicist Michael S. Turner of the University of Chicago as Assistant Director for Mathematical and Physical Sciences. He will head a $1 billion directorate that supports research in mathematics, physics, chemistry, materials and astronomy, as well as multidisciplinary programs and education" (1/2 page).
Pursell, David P
2009-01-01
BIO2010 advocates enhancing the interdisciplinary, mathematics, and physical science components of the undergraduate biology curriculum. The Department of Chemistry and Life Science at West Point responded by developing a required physical chemistry course tailored to the interests of life science majors. To overcome student resistance to physical chemistry, students were enabled as long-term stakeholders who would shape the syllabus by selecting life science topics of interest to them. The initial 2 yr of assessment indicates that students have a positive view of the course, feel they have succeeded in achieving course outcome goals, and that the course is relevant to their professional future. Instructor assessment of student outcome goal achievement via performance on exams and labs is comparable to that of students in traditional physical chemistry courses. Perhaps more noteworthy, both student and instructor assessment indicate positive trends from year 1 to year 2, presumably due to the student stakeholder effect.
Computing as Empirical Science – Evolution of a Concept
Directory of Open Access Journals (Sweden)
Polak Paweł
2016-12-01
Full Text Available This article presents the evolution of philosophical and methodological considerations concerning empiricism in computer/computing science. In this study, we trace the most important current events in the history of reflection on computing. The forerunners of Artificial Intelligence H.A. Simon and A. Newell in their paper Computer Science As Empirical Inquiry (1975 started these considerations. Later the concept of empirical computer science was developed by S.S. Shapiro, P. Wegner, A.H. Eden and P.J. Denning. They showed various empirical aspects of computing. This led to a view of the science of computing (or science of information processing - the science of general scope. Some interesting contemporary ways towards a generalized perspective on computations were also shown (e.g. natural computing.
Liou, Pey-Yan
2014-01-01
The purpose of this study is to examine the relationship between student self-concept and achievement in science in Taiwan based on the big-fish-little-pond effect (BFLPE) model using the Trends in International Mathematics and Science Study (TIMSS) 2003 and 2007 databases. Hierarchical linear modeling was used to examine the effects of the…
THE EFFECT OF SELF-CONCEPT ON THE MATHEMATICS LEARNING ACHIEVEMENT
Directory of Open Access Journals (Sweden)
Rosliana Siregar
2018-05-01
Full Text Available Abstract. This study aims to determine the effect of self-concepts on mathematics learning achievement of students of class X at State Senior High School 14 Medan. The population in this study is all students of class X State Senior High School 14 Medan which amounted to 304 students. Technique of sampling using technique of Proportionate Stratified Random Sampling counted 40 student for research sample. Data collection using questionnaire method and documentation method. Data analysis technique used is regression analysis, correlation analysis and t test with significance level of 5%. Testing data in this study using the help of SPSS 15 for Windows program for each test result. The results showed that there is a significant influence between self-concept and mathematics learning achievement obtained from the t count (3,572> t table (1.68, with a probability significance of 0.01 <0.05. The magnitude of the determination coefficient of 25.1%
Miranda Martins, Dominique
This study sought to understand how a group of pre-service teachers in a combined secondary science and mathematics teaching methods course conceptualized and experienced interdisciplinary approaches to teaching. Although knowing how to plan interdisciplinary activities is an essential teaching practice in Quebec, these pre-service teachers faced many challenges during the process of learning to teach with this approach. By using two interdisciplinary frameworks (Nikitina, 2005; Boix Mansilla & Duraising, 2007), I qualitatively analyzed the development of the pre-service teachers' prior and emerging ideas about interdisciplinarity and their ability to plan interdisciplinary teaching activities. The provincial curriculum and issues related to time greatly shaped students' conceptions about interdisciplinarity in the classroom and constrained their ability to plan for and envision the enactment of interdisciplinary lessons in secondary science and mathematics classes. In addition, images of themselves as content-specialists, self-efficacy beliefs in relation to interdisciplinary teaching, and student learning as a source of teacher motivation emerged as key factors promoting or interrupting the development of interdisciplinary teaching approaches. Examination of these factors highlights the need for teacher-education programs to provide opportunities for pre-service teachers to explore how they see themselves as educators, increase their instructional self-efficacy beliefs, and motivate them to teach in an interdisciplinary fashion. Keywords: interdisciplinary teaching, student-teachers, curriculum, teacher-education program, self-efficacy, motivation.
Kristian, P. L. Y.; Cari, C.; Sunarno, W.
2018-04-01
This study purposes to describe and analyse the students' concept understanding of dynamic fluid. The subjects of this research are 10 students of senior high school. The data collected finished the essay test that consists of 5 questions have been adapted to the indicators of learning. The data of this research is analysed using descriptive-qualitative approach by referring of the student's argumentations about their answer from the questions that given. The results showed that students still have incorrect understanding the concept of dynamic fluids, especially on the Bernoulli’s principle and its application. Based on the results of this research, the teachers should emphasize the concept understanding of the students therefore the students don not only understand the physics concept in mathematical form.
Tapilouw, M. C.; Firman, H.; Redjeki, S.; Chandra, D. T.
2018-05-01
To refresh natural environmental concepts in science, science teacher have to attend a teacher training. In teacher training, all participant can have a good sharing and discussion with other science teacher. This study is the first step of science teacher training program held by education foundation in Bandung and attended by 20 science teacher from 18 Junior High School. The major aim of this study is gathering science teacher’s idea of environmental concepts. The core of questions used in this study are basic competencies linked with environmental concepts, environmental concepts that difficult to explain, the action to overcome difficulties and references in teaching environmental concepts. There are four major findings in this study. First finding, most environmental concepts are taught in 7th grade. Second finding, most difficult environmental concepts are found in 7th grade. Third finding, there are five actions to overcome difficulties. Fourth finding, science teacher use at least four references in mastering environmental concepts. After all, teacher training can be a solution to reduce difficulties in teaching environmental concepts.
Lobato, Fran Sérgio
2017-01-01
This book is aimed at undergraduate and graduate students in applied mathematics or computer science, as a tool for solving real-world design problems. The present work covers fundamentals in multi-objective optimization and applications in mathematical and engineering system design using a new optimization strategy, namely the Self-Adaptive Multi-objective Optimization Differential Evolution (SA-MODE) algorithm. This strategy is proposed in order to reduce the number of evaluations of the objective function through dynamic update of canonical Differential Evolution parameters (population size, crossover probability and perturbation rate). The methodology is applied to solve mathematical functions considering test cases from the literature and various engineering systems design, such as cantilevered beam design, biochemical reactor, crystallization process, machine tool spindle design, rotary dryer design, among others.
National Center for Mathematics and Science - who we are
Massachusetts-Dartmouth Expertise Areas Classroom discourse Sociocultural theory in mathematics teacher education The learnability of new ideas, such as complexity, chaos and nonlinear systems Center Research students' mathematical understanding Program evaluation Curriculum theory and reform Center Research
Energy Technology Data Exchange (ETDEWEB)
Stakhov, A.P. [International Club of the Golden Section, 6 McCreary Trail, Bolton, ON, L7E 2C8 (Canada)] e-mail: goldenmuseum@rogers.com
2005-10-01
The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles.
International Nuclear Information System (INIS)
Stakhov, A.P.
2005-01-01
The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles
Directory of Open Access Journals (Sweden)
Maher Abu-Hilal
2012-11-01
Full Text Available This study examined the structural relationships among cognitive constructs (intelligence and achievement and affective constructs (perceived parental help, effort and self-concept. It was proposed that the relationships are not invariant across gender. The sample consisted of 219 boys and 133 girls from elementary and preparatory public schools in Al Ain in the United Arab Emirates. Intelligence (IQ was measured by the Test of Non-verbal Intelligence (TONI and parental help was measured by 4-Likert-type items. Effort was measured by 4-Likert-type items. Self-concept (SC was measured by 8-Likert-type items taken from the SDQ I (Abu-Hilal, 2000. Mathematic Achievement was the scores of students in mathematics from school records. The structural model assumed that IQ would have an effect on parental help, effort, SC and achievement. Parental help would have an effect on effort, SC and achievement. Also, effort would have an effect on SC and achievement. Finally, SC would have an effect on achievement. The structural model was tested for invariance across gender. The measurement model proved to be invariant across gender and so was the structural model. The non-constrained model indicated that the structural relationships among the variables do vary according to gender. For example, boys benefited from parental help by exerting more effort while girls did not. Boys with high IQ exerted more effort than boys with low IQ; but girls with high IQ exerted the same amount of effort as girls with low IQ. The model explained 45% and 39% of the variance in math scores for boys and girls, respectively.
Learning of science concepts within a traditional socio-cultural ...
African Journals Online (AJOL)
The learning of science concepts within a traditional socio-cultural environment were investigated by looking at: 1) the nature of \\"cognitive border crossing\\" exhibited by the students from the traditional to the scientific worldview, and 2) whether or not three learning theories / hypotheses: border crossing, collaterality, and ...
Students’ Conception on Heat and Temperature toward Science Process Skill
Ratnasari, D.; Sukarmin, S.; Suparmi, S.; Aminah, N. S.
2017-09-01
This research is aimed to analyze the effect of students’ conception toward science process skill. This is a descriptive research with subjects of the research were 10th-grade students in Surakarta from high, medium and low categorized school. The sample selection uses purposive sampling technique based on physics score in national examination four latest years. Data in this research collecting from essay test, two-tier multiple choice test, and interview. Two-tier multiple choice test consists of 30 question that contains an indicator of science process skill. Based on the result of the research and analysis, it shows that students’ conception of heat and temperature affect science process skill of students. The students’ conception that still contains the wrong concept can emerge misconception. For the future research, it is suggested to improve students’ conceptual understanding and students’ science process skill with appropriate learning method and assessment instrument because heat and temperature is one of physics material that closely related with students’ daily life.
Students' Self-Concept and Their Achievement in Basic Science ...
African Journals Online (AJOL)
The study investigated the relationship between students self-concept andtheir academic performance in Basic Science. It further examines genderdifference in students performance. The study adopted ex-post factorresearch design and made use of 300 students all from Public Schools. Theadapted Version of ...
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."
Investigating Undergraduate Science Students’ Conceptions and Misconceptions of Ocean Acidification
Danielson, Kathryn I.; Tanner, Kimberly D.
2015-01-01
Scientific research exploring ocean acidification has grown significantly in past decades. However, little science education research has investigated the extent to which undergraduate science students understand this topic. Of all undergraduate students, one might predict science students to be best able to understand ocean acidification. What conceptions and misconceptions of ocean acidification do these students hold? How does their awareness and knowledge compare across disciplines? Undergraduate biology, chemistry/biochemistry, and environmental studies students, and science faculty for comparison, were assessed on their awareness and understanding. Results revealed low awareness and understanding of ocean acidification among students compared with faculty. Compared with biology or chemistry/biochemistry students, more environmental studies students demonstrated awareness of ocean acidification and identified the key role of carbon dioxide. Novel misconceptions were also identified. These findings raise the question of whether undergraduate science students are prepared to navigate socioenvironmental issues such as ocean acidification. PMID:26163563
Abakpa , Benjamin ,; Abah , Joshua ,; Okoh Agbo-Egwu , Abel
2018-01-01
International audience; This study investigated the relationship between the science curiosity levels of undergraduate of mathematics education in a Nigerian higher educational institution and their academic grade point averages. The study employed a correlational survey research design on a random sample of 104 mathematics education students. The Science Curiosity Scale – Comparative Self Report was adapted to measure the students' distinctive appetite for consuming science-related media for...
Air Force-Wide Needs for Science, Technology, Engineering, and Mathematics (STEM) Academic Degrees
2014-01-01
anthropology (0190), mathematical statistics (1529), general math (AFIT faculty only), metallurgy (1321), and actuarial science (1510). 97 Tier II. Few...linking or frEE DownloAD At www.rand.org C O R P O R A T I O N Research Report Air Force–Wide Needs for Science , Technology, Engineering, and...00-00-2014 4. TITLE AND SUBTITLE Air Force-Wide Needs for Science , Technology, Engineering, and Mathematics (STEM) Academic Degrees 5a. CONTRACT