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Sample records for advanced mathematical education

  1. Mathematical competencies and the role of mathematics in physics education: A trend analysis of TIMSS Advanced 1995 and 2008

    Directory of Open Access Journals (Sweden)

    Trude Nilsen

    2013-10-01

    Full Text Available As students advance in their learning of physics over the course of their education, the requirement of mathematical applications in physics-related tasks increases, especially so in upper secondary school and in higher education. Yet there is little empirical work (particularly large-scale or longitudinal on the application of mathematics in physics education compared with the research related to the conceptual knowledge of physics. In order to clarify the nature of mathematics in physics education, we developed a theoretical framework for mathematical competencies pertinent to various physics tasks based on theoretical frameworks from mathematics and physics education. We used this synthesis of frameworks as a basis to create a model for physics competence. The framework also served as a tool for analyzing and categorizing trend items from the international large-scale survey, TIMSS Advanced 1995 and 2008. TIMSS Advanced assessed students in upper secondary school with special preparation in advanced physics and mathematics. We then investigated the changes in achievements on these categorized items across time for nations who participated in both surveys. The results from our analysis indicate that students whose overall physics achievement declined struggled the most with items requiring mathematics, especially items requiring them to handle symbols, such as manipulating equations. This finding suggests the importance of collaboration between mathematics and physics education as well as the importance of traditional algebra for physics education.

  2. Advanced Mathematical Thinking

    Science.gov (United States)

    Dubinsky, Ed; McDonald, Michael A.; Edwards, Barbara S.

    2005-01-01

    In this article we propose the following definition for advanced mathematical thinking: Thinking that requires deductive and rigorous reasoning about mathematical notions that are not entirely accessible to us through our five senses. We argue that this definition is not necessarily tied to a particular kind of educational experience; nor is it…

  3. Perspectives on Advanced Mathematical Thinking

    Science.gov (United States)

    Selden, Annie; Selden, John

    2005-01-01

    This article sets the stage for the following 3 articles. It opens with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. It then locates the articles within 4…

  4. NATO Advanced Research Workshop on Exploiting Mental Imagery with Computers in Mathematics Education

    CERN Document Server

    Mason, John

    1995-01-01

    The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.

  5. Strategic Alliance to Advanced Technological Education through Enhanced Mathematics, Science, Technology, and English Education at the Secondary Level

    Science.gov (United States)

    Scarborough, Jule Dee

    2004-01-01

    This document (book) reports on the Strategic Alliance to Advance Technological Education through Enhanced Mathematics, Science, Technology, and English Education at the Secondary Level, funded by National Science Foundation. It was a collaborative partnership involving the Rockford Public Schools, Rock Valley College, and Northern Illinois…

  6. Advancing Pre-college Science and Mathematics Education

    Energy Technology Data Exchange (ETDEWEB)

    Lee, Rick [General Atomics, San Diego, CA (United States)

    2015-05-06

    With support from the US Department of Energy, Office of Science, Fusion Energy Sciences, and General Atomics, an educational and outreach program primarily for grades G6-G13 was developed using the basic science of plasma and fusion as the content foundation. The program period was 1994 - 2015 and provided many students and teachers unique experiences such as a visit to the DIII-D National Fusion Facility to tour the nation’s premiere tokamak facility or to interact with interesting and informative demonstration equipment and have the opportunity to increase their understanding of a wide range of scientific content, including states of matter, the electromagnetic spectrum, radiation & radioactivity, and much more. Engaging activities were developed for classroom-size audiences, many made by teachers in Build-it Day workshops. Scientist and engineer team members visited classrooms, participated in science expositions, held workshops, produced informational handouts in paper, video, online, and gaming-CD format. Participants could interact with team members from different institutions and countries and gain a wider view of the world of science and engineering educational and career possibilities. In addition, multiple science stage shows were presented to audiences of up to 700 persons in a formal theatre setting over a several day period at Science & Technology Education Partnership (STEP) Conferences. Annually repeated participation by team members in various classroom and public venue events allowed for the development of excellent interactive skills when working with students, teachers, and educational administrative staff members. We believe this program has had a positive impact in science understanding and the role of the Department of Energy in fusion research on thousands of students, teachers, and members of the general public through various interactive venues.

  7. Advancements in Research on Creativity and Giftedness in Mathematics Education: Introduction to the Special Issue

    Science.gov (United States)

    Singer, Florence Mihaela; Sheffield, Linda Jensen; Leikin, Roza

    2017-01-01

    Creativity and giftedness in mathematics education research are topics of an increased interest in the education community during recent years. This introductory paper to the special issue on Mathematical Creativity and Giftedness in Mathematics Education has a twofold purpose: to offer a brief historical perspective on the study of creativity and…

  8. Advanced engineering mathematics

    CERN Document Server

    Jeffrey, Alan

    2001-01-01

    Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) th...

  9. NATO Advanced Research Workshop on The Design of Mathematical Modelling Courses for Engineering Education

    CERN Document Server

    Moscardini, Alfredo

    1994-01-01

    As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa­ tion (EME) is an important one. The need for mathematical model­ ling (MM) courses and consideration of the educational impact of computer-based technology environments merit special attention. This book contains the proceeding of the NATO Advanced Research Workshop held on this theme in July 1993. We have left the industrial age behind and have entered the in­ formation age. Computers and other emerging technologies are penetrating society in depth and gaining a strong influence in de­ termining how in future society will be organised, while the rapid change of information requires a more qualified work force. This work force is vital to high technology and economic competitive­ ness in many industrialised countries throughout the world. Within this framework, the quality of EME has become an issue. It is expected that the content of mathematics courses taught in schools o...

  10. Educating mathematics teacher educators

    DEFF Research Database (Denmark)

    Højgaard, Tomas; Jankvist, Uffe Thomas

    2014-01-01

    The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....

  11. Conditional Inference and Advanced Mathematical Study

    Science.gov (United States)

    Inglis, Matthew; Simpson, Adrian

    2008-01-01

    Many mathematicians and curriculum bodies have argued in favour of the theory of formal discipline: that studying advanced mathematics develops one's ability to reason logically. In this paper we explore this view by directly comparing the inferences drawn from abstract conditional statements by advanced mathematics students and well-educated arts…

  12. Connecting Advanced and Secondary Mathematics

    Science.gov (United States)

    Murray, Eileen; Baldinger, Erin; Wasserman, Nicholas; Broderick, Shawn; White, Diana

    2017-01-01

    There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers…

  13. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2017-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  14. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2016-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  15. Advances in mathematical economics

    CERN Document Server

    Yamazaki, Akira

    2006-01-01

    A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

  16. Advances in mathematical economics

    CERN Document Server

    Yamazaki, Akira

    2006-01-01

    A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

  17. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2015-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  18. Advanced Training in Mathematics Schools

    Indian Academy of Sciences (India)

    Advanced Training in Mathematics Schools (ATM Schools) are a joint effort of more than. 50 active researchers across the country with support from the National Board for Higher. Mathematics. The objective of these schools is to impart basic knowledge in algebra, analysis and topology in the Annual Foundation School ...

  19. Driven by History: Mathematics Education Reform

    Science.gov (United States)

    Permuth, Steve; Dalzell, Nicole

    2013-01-01

    The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…

  20. A bridge to advanced mathematics

    CERN Document Server

    Sentilles, Dennis

    2011-01-01

    This helpful workbook-style ""bridge"" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. Author Dennis Sentilles also discusses the history and development of mathematics as well a

  1. Advances in mathematical economics

    CERN Document Server

    Yamazaki, Akira

    2005-01-01

    A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. The editorial board of this series comprises the following prominent economists and mathematicians: Managing Editors: S. Kusuoka (Univ. Tokyo), T. Maruyama (Keio Univ.). Editors: R. Anderson (U.C. Berkeley), C. Castaing (Univ. Montpellier), F.H. Clarke (Univ. Lyon I), G. Debreu (U.C. Berkeley), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Okayama Univ.), J.-M. Grandmont...

  2. Mathematics for Life: Sustainable Mathematics Education

    Science.gov (United States)

    Renert, Moshe

    2011-01-01

    Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…

  3. Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics

    Science.gov (United States)

    Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.

    2016-01-01

    Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

  4. Smooth Transition for Advancement to Graduate Education (STAGE) for Underrepresented Groups in the Mathematical Sciences Pilot Project: Broadening Participation through Mentoring

    Science.gov (United States)

    Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu

    2018-01-01

    The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…

  5. Meaning in mathematics education

    CERN Document Server

    Valero, Paola; Hoyles, Celia; Skovsmose, Ole

    2005-01-01

    What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed - theoretical and practical - and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge.

  6. Teaching Mathematical Modeling in Mathematics Education

    Science.gov (United States)

    Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

    2016-01-01

    Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

  7. Research in Mathematics Education

    Science.gov (United States)

    Schoenfeld, Alan H.

    2016-01-01

    As one of the three Rs, "'rithmetic" has always been central to education and education research. By virtue of that centrality, research in mathematics education has often reflected and at times led trends in education research. This chapter provides some deep background on epistemological and other issues that shape current research,…

  8. Mathematics Connection: Advanced Search

    African Journals Online (AJOL)

    Search tips: Search terms are case-insensitive; Common words are ignored; By default only articles containing all terms in the query are returned (i.e., AND is implied); Combine multiple words with OR to find articles containing either term; e.g., education OR research; Use parentheses to create more complex queries; e.g., ...

  9. Racial Differences in Mathematics Test Scores for Advanced Mathematics Students

    Science.gov (United States)

    Minor, Elizabeth Covay

    2016-01-01

    Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…

  10. Mathematical Education for Geographers

    Science.gov (United States)

    Wilson, Alan

    1978-01-01

    Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

  11. Philosophical dimensions in mathematics education

    CERN Document Server

    Francois, Karen

    2007-01-01

    This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

  12. Mathematical Modelling Approach in Mathematics Education

    Science.gov (United States)

    Arseven, Ayla

    2015-01-01

    The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

  13. Mentoring in mathematics education

    CERN Document Server

    Hyde, Rosalyn

    2013-01-01

    Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include:

  14. Mathematics Education and Language Diversity

    DEFF Research Database (Denmark)

    Moschkovich, Judit; Planas, Nuria

    This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf...

  15. Advances in mechanics and mathematics

    CERN Document Server

    Ogden, Ray

    2002-01-01

    Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

  16. Mathematical modeling in realistic mathematics education

    Science.gov (United States)

    Riyanto, B.; Zulkardi; Putri, R. I. I.; Darmawijoyo

    2017-12-01

    The purpose of this paper is to produce Mathematical modelling in Realistics Mathematics Education of Junior High School. This study used development research consisting of 3 stages, namely analysis, design and evaluation. The success criteria of this study were obtained in the form of local instruction theory for school mathematical modelling learning which was valid and practical for students. The data were analyzed using descriptive analysis method as follows: (1) walk through, analysis based on the expert comments in the expert review to get Hypothetical Learning Trajectory for valid mathematical modelling learning; (2) analyzing the results of the review in one to one and small group to gain practicality. Based on the expert validation and students’ opinion and answers, the obtained mathematical modeling problem in Realistics Mathematics Education was valid and practical.

  17. Assessment and realistic mathematics education

    NARCIS (Netherlands)

    Heuvel-Panhuizen, M.H.A.M. van den

    1996-01-01

    This book describes the consequences of Realistic Mathematics Education (RME) for assessing students’ understanding of mathematics in primary school. RME is the Dutch answer to the worldwide need to reform mathematics education. Changed ideas about mathematics as a school subject, its goals,

  18. Cognitive Correlates of Performance in Advanced Mathematics

    Science.gov (United States)

    Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

    2012-01-01

    Background: Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic).Aims: To promote mathematical knowledge among college students, it is necessary to understand what factors…

  19. Computational experiment approach to advanced secondary mathematics curriculum

    CERN Document Server

    Abramovich, Sergei

    2014-01-01

    This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing mo...

  20. Research in collegiate mathematics education V

    CERN Document Server

    Selden, Annie; Harel, Guershon; Hitt, Fernando

    2003-01-01

    This fifth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. The articles in RCME are peer-reviewed for two major features: (1) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics.

  1. Research in collegiate mathematics education VI

    CERN Document Server

    Selden, Annie; Harel, Guershon; Hauk, Shandy

    2006-01-01

    The sixth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the postsecondary level. The articles advance our understanding of collegiate mathematics education while being readable by a wide audience of mathematicians interested in issues affecting their own students. This is a collection of useful and informative research regarding the ways our students think about and learn mathematics. The volume opens with studies on students' experiences with calculus reform and on the effects of concept-based

  2. Conditional Inference and Advanced Mathematical Study: Further Evidence

    Science.gov (United States)

    Inglis, Matthew; Simpson, Adrian

    2009-01-01

    In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…

  3. Cognitive correlates of performance in advanced mathematics.

    Science.gov (United States)

    Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

    2012-03-01

    Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic). To promote mathematical knowledge among college students, it is necessary to understand what factors (including cognitive factors) are important for acquiring advanced mathematics. We recruited 80 undergraduates from four universities in Beijing. The current study investigated the associations between students' performance on a test of advanced mathematics and a battery of 17 cognitive tasks on basic numerical processing, complex numerical processing, spatial abilities, language abilities, and general cognitive processing. The results showed that spatial abilities were significantly correlated with performance in advanced mathematics after controlling for other factors. In addition, certain language abilities (i.e., comprehension of words and sentences) also made unique contributions. In contrast, basic numerical processing and computation were generally not correlated with performance in advanced mathematics. Results suggest that spatial abilities and language comprehension, but not basic numerical processing, may play an important role in advanced mathematics. These results are discussed in terms of their theoretical significance and practical implications. ©2011 The British Psychological Society.

  4. Interactive whiteboard in mathematics education

    OpenAIRE

    Cendelín, Jan

    2013-01-01

    Title: Interactive whiteboard in mathematics education Author: Bc. Jan Cendelín Department:Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D., Department of Mathematics Education Abstract: The development of modern technology is very fast. Almost everyone uses the technology at work and at home as well. So it is not unexpected that the technology gets into education at schools. This thesis focuses on the education of modern mathematics, and especially on the use of th...

  5. Advancing Mathematical Activity: A Practice-Oriented View of Advanced Mathematical Thinking

    Science.gov (United States)

    Rasmussen, Chris; Zandieh, Michelle; King, Karen; Teppo, Anne

    2005-01-01

    The purpose of this article is to contribute to the dialogue about the notion of advanced mathematical thinking by offering an alternative characterization for this idea, namely advancing mathematical activity. We use the term advancing (versus advanced) because we emphasize the progression and evolution of students' reasoning in relation to their…

  6. Assessing mathematics within advanced school science qualifications

    OpenAIRE

    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...

  7. The Philosophy of Mathematics Education

    DEFF Research Database (Denmark)

    research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also...

  8. Gestures and Insight in Advanced Mathematical Thinking

    Science.gov (United States)

    Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy

    2011-01-01

    What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…

  9. International Conference on Advances in Applied Mathematics

    CERN Document Server

    Hammami, Mohamed; Masmoudi, Afif

    2015-01-01

    This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology.   Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisia.  Topics discussed at the conference included spectral theory, operator theory, optimization, numerical analysis, ordinary and partial differential equations, dynamical systems, control theory, probability, and statistics.  These proceedings aim to foster and develop further growth in all areas of applied mathematics.

  10. Mathematics for natural scientists II advanced methods

    CERN Document Server

    Kantorovich, Lev

    2016-01-01

    This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.

  11. Difference, inclusion, and mathematics education

    DEFF Research Database (Denmark)

    Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole

    2016-01-01

    The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects...... the diversity of learners in different educational contexts – in Brazil and beyond. This paper presents the contributions to the discussion, which focus on the problematisation of the term “inclusion”, explorations of how the practices of previously marginalized students can bring new resources to the teaching...... and learning of mathematics and reflections upon the potentially discriminatory nature of the structures which currently mould school mathematics. The paper aims to serve as material for the developing research agenda of the thirteenth working group of the Brazilian Society of Mathematics Education, which met...

  12. The Technological Enframing of Mathematics Education

    Science.gov (United States)

    Thornton, Steve

    2014-01-01

    In this paper I seek to critique pervasive notions of what counts in mathematics education using Heidegger's notion of the technological enframing. I suggest that early childhood and schooling have become technologies in themselves, casting students and teachers as part of the standing reserve within the inexorable drive for economic advancement.…

  13. Mathematics education a spectrum of work in mathematical sciences departments

    CERN Document Server

    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...

  14. International comparisons in mathematics education

    CERN Document Server

    Huntly, Ian; Luna, Eduardo

    2012-01-01

    This text explores international comparisons in mathematics education and highlights strengths and weaknesses in various systems world-wide, allowing teachers, researchers and academics to compare and contrast different approaches.

  15. Who succeeds in advanced mathematics and science courses?

    NARCIS (Netherlands)

    Korpershoek, Hanke; Kuyper, Hans; van der Werf, Greetje; Bosker, Roel; Van der Werf, M.P.C.

    2011-01-01

    Few students (particularly few girls) currently choose to take their Final School Examination (FSE) in advanced mathematics, chemistry and physics, a combination of subjects that is the best preparation for a science-oriented study in higher education. Are these subjects attainable by more students

  16. A discrete transition to advanced mathematics

    CERN Document Server

    Richmond, Bettina

    2009-01-01

    As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last thr

  17. Advanced Mathematical Thinking and Students' Mathematical Learning: Reflection from Students' Problem-Solving in Mathematics Classroom

    Science.gov (United States)

    Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree

    2016-01-01

    Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In…

  18. An invitation to critical mathematics education

    DEFF Research Database (Denmark)

    Skovsmose, Ole

    An Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in action. The book is intended for a broad audience: educators, students, teachers, policy makers, anybody interested...... in the further development of mathematics education. The book discusses concerns and preoccupation. This way it provides an invitation into critical mathematics education....

  19. Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

    Science.gov (United States)

    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…

  20. International Seminar in Mathematics Education

    Indian Academy of Sciences (India)

    Home; Journals; Resonance – Journal of Science Education; Volume 7; Issue 12. International Seminar in Mathematics Education. Shailesh A Shirali. Information and Announcements Volume 7 Issue 12 December 2002 pp 95-96. Fulltext. Click here to view fulltext PDF. Permanent link:

  1. Mathematical Modeling: A Bridge to STEM Education

    Science.gov (United States)

    Kertil, Mahmut; Gurel, Cem

    2016-01-01

    The purpose of this study is making a theoretical discussion on the relationship between mathematical modeling and integrated STEM education. First of all, STEM education perspective and the construct of mathematical modeling in mathematics education is introduced. A review of literature is provided on how mathematical modeling literature may…

  2. Mathematical modelling in science and mathematics education

    Science.gov (United States)

    Teodoro, Vítor Duarte; Neves, Rui Gomes

    2011-01-01

    Scientific research involves mathematical modelling in the context of an interactive balance between theory, experiment and computation. However, computational methods and tools are still far from being appropriately integrated in the high school and university curricula in science and mathematics. In this paper, it is discussed the relevance of mathematical modelling and illustrated how a computer modelling tool (Modellus, a free tool available on the Internet and developed at FCTUNL) can be used to embed modelling in high school and undergraduate courses. Modellus allows students to create and explore mathematical models using functions, differential and iterative equations, and visualize the behaviour of mathematical objects.

  3. AI and Mathematical Education

    Directory of Open Access Journals (Sweden)

    Angel Garrido

    2012-01-01

    Full Text Available From ancient times, the history of human beings has developed by a succession of steps and sometimes jumps, until reaching the relative sophistication of the modern brain and culture. Researchers are attempting to create systems that mimic human thinking, understand speech, or beat the best human chess player. Understanding the mechanisms of intelligence, and creating intelligent artifacts are the twin goals of Artificial Intelligence (AI. Great mathematical minds have played a key role in AI in recent years; to name only a few: Janos Neumann (also known as John von Neumann, Konrad Zuse, Norbert Wiener, Claude E. Shannon, Alan M. Turing, Grigore Moisil, Lofti A. Zadeh, Ronald R. Yager, Michio Sugeno, Solomon Marcus, or Lászlo A. Barabási. Introducing the study of AI is not merely useful because of its capability for solving difficult problems, but also because of its mathematical nature. It prepares us to understand the current world, enabling us to act on the challenges of the future.

  4. Educational research and research in Mathematics Education

    OpenAIRE

    Castillo Sánchez, Mario; Gamboa Araya, Ronny

    2013-01-01

    This report corresponds to a literature review whose aims to present the point of view of different authors on the concept of Education, to establish the relationship between Science Education, Pedagogy and Education as well as to show the role that of the philosophy of Education in this process.  It also analyze the role of research in the field of Education and Mathematics Education.  In this context, education is conceived as an ongoing and dynamic process that gives tools for personal ful...

  5. Mathematics Education and Democracy Education

    Science.gov (United States)

    Çetin, Ömer Faruk

    2015-01-01

    Democracy is a most accepted form of government system and has a great importance for citizens by allowing them equal and active participation in common life. As its development and characteristics are important for all citizens of a country, each democratic country puts much emphasis on democracy education in its educational curricula. In recent…

  6. Journal Quality in Mathematics Education

    Science.gov (United States)

    Williams, Steven R.; Leatham, Keith R.

    2017-01-01

    We present the results of 2 studies, a citation-based study and an opinion-based study, that ranked the relative quality of 20 English-language journals that exclusively or extensively publish mathematics education research. We further disaggregate the opinion-based data to provide insights into variations in judgment of journal quality based on…

  7. History of Modern Applied Mathematics in Mathematics Education

    Science.gov (United States)

    Jankvist, Uffe Thomas

    2009-01-01

    This article discusses the integration of history of modern applied mathematics in mathematics education as well as the possible teaching and learning benefits of introducing a newer history of mathematics over an old(er) one--something that seems to be done most often when integrating history. Three cases of the history of modern applied…

  8. Vital directions for mathematics education research

    CERN Document Server

    Leatham, Keith R

    2013-01-01

    In this book, experts discuss vital issues in mathematics education and what they see as viable directions for research in mathematics education to address them. Their recommendations take the form of overarching principles and ideas that cut across the field.

  9. Panel Debate: Technics and technology in mathematics and mathematics education

    DEFF Research Database (Denmark)

    Misfeldt, Morten

    2015-01-01

    new technologies enter mathematics as a discipline and mathematics education as a societal practice. Our analysis suggests a focus on continuities in time and place in the sense that it is necessary to understand the history of “tool use” in mathematics and the various ways that scholastic and non...... guidelines and conclusions regarding the use of computer technology in mathematics education.......The use of computer technology for teaching and learning of mathematics has several consequences and does sometimes give rise to both controversies and misunderstandings. We address these problems by both a philosophical and a historical approach, investigating what it actually is that goes on when...

  10. The History of Mathematics and Mathematical Education

    Science.gov (United States)

    Grattan-Guinness, I.

    1977-01-01

    Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)

  11. Symbolising the Real of Mathematics Education

    Science.gov (United States)

    Pais, Alexandre

    2015-01-01

    This text, occasioned by a critical reading of Tony Brown's new book "Mathematics Education and Subjectivity," aims at contributing to the building of a sociopolitical approach to mathematics education based on Lacanian psychoanalysis and Slavoj Žižek's philosophy. Brown has been bringing into the field of mathematics education the work…

  12. Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

    Science.gov (United States)

    Sriraman, Bharath, Ed.

    2012-01-01

    The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

  13. Third international handbook of mathematics education

    CERN Document Server

    Bishop, Alan; Keitel, Christine; Kilpatrick, Jeremy; Leung, Frederick

    2013-01-01

    This entirely new Third International Handbook of Mathematics Education comprises 31 chapters which have been written by a total of 84 different authors representing 26 nations, each a recognized expert in the field.   Comprised of four sections: Social, Political and Cultural Dimensions in Mathematics Education; Mathematics Education as a Field of Study; Technology in the Mathematics Curriculum; and International Perspectives on Mathematics Education, this Third Handbook offers essential reading for all persons interested in the future of mathematics education. The authors present challenging international perspectives on the history of mathematics education, current issues, and future directions.   What makes this Handbook unique is its structure. Each section covers past, present and future aspects of mathematics education.   The first chapter in each section identifies and analyzes historical antecedents The “middle” chapters draw attention to present-day key issues and themes The final chapter in ...

  14. An Empirical Grounded Theory Approach to Characterizing Advanced Mathematical Thinking in College Calculus

    Science.gov (United States)

    Nabb, Keith A.

    2013-01-01

    The research literature has made calls for greater coherence and consistency with regard to the meaning and use of the term advanced mathematical thinking (AMT) in mathematics education (Artigue, Batanero, & Kent, 2007; Selden & Selden, 2005). Educators and researchers agree that students should be engaged in AMT but it is unclear…

  15. Critical Mathematics education: Past, present and future

    DEFF Research Database (Denmark)

    such as the dialogical and political dimensions of teacher education, mathematical modeling, the philosophy of mathematics from social and political perspectives, teaching practices in classrooms, the connection between mathematics and society, the scope and limits of critical thinking in relation to mathematics......Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal...... of the world, and their future directions. With a diversity of styles and forms of texts, this book is addressed to all those teachers and researchers who would like to be introduced or would like to go deeper into the types of insights that critical mathematics education offers....

  16. Mathematics Education in Singapore - an Insider's Perspective

    OpenAIRE

    Kaur, Berinderjeet

    2014-01-01

    Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore dur...

  17. Mathematics Teacher Education: A Model from Crimea.

    Science.gov (United States)

    Ferrucci, Beverly J.; Evans, Richard C.

    1993-01-01

    Reports on the mathematics teacher preparation program at Simferopol State University, the largest institution of higher education in the Crimea. The article notes the value of investigating what other countries consider essential in mathematics teacher education to improve the mathematical competence of students in the United States. (SM)

  18. Positioning Mathematics Education Researchers to Influence Storylines

    Science.gov (United States)

    Herbel-Eisenmann, Beth; Sinclair, Nathalie; Chval, Kathryn B.; Clements, Douglas H.; Civil, Marta; Pape, Stephen J.; Stephan, Michelle; Wanko, Jeffrey J.; Wilkerson, Trena L.

    2016-01-01

    The NCTM Research Committee identifies key influences on mathematics education that are largely outside the domain of the academic world in which most mathematics education researchers live. The groups that are identified--including the media, companies and foundations, and other academic domains--affect the public's perception of mathematics and…

  19. Lecturers' Views on Ghana's Undergraduate Mathematics Education

    Science.gov (United States)

    Assuah, Charles; Ayebo, Abraham

    2015-01-01

    This paper synthesizes the views of 6 university lecturers on Ghana's undergraduate mathematics education. These views were expressed during a mathematics workshop sensitization program on the "contribution of undergraduate mathematics education to the Ghanaian economy." The data consisting of open-ended questions followed by…

  20. Constructivism and mathematics education in Ghana | Fletcher ...

    African Journals Online (AJOL)

    Mathematics is a subject found in every school Curriculum in almost every country. Here in Ghana, mathematics is a compulsory subject in both the basic education (i.e. primary and junior secondary) and senior secondary curricula. This paper argues that in spite of the desire of mathematics educators in Ghana to pursue a ...

  1. Alternate Trajectories: Women Moving into Mathematics Education

    Science.gov (United States)

    Toney, Allison F.

    2014-01-01

    While only about one-third of each year's doctoral graduates in mathematics are women, about two-thirds of the doctoral graduates in mathematics education are women. This article reports on the results of a qualitative investigation into the nature of the graduate school-related experiences of women in collegiate mathematics education doctoral…

  2. Preservice Agricultural Education Teachers' Mathematics Ability

    Science.gov (United States)

    Stripling, Christopher T.; Roberts, T. Grady

    2012-01-01

    The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…

  3. Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education

    Science.gov (United States)

    Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem

    2013-10-01

    This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.

  4. Conceptualising inquiry based education in mathematics

    DEFF Research Database (Denmark)

    Blomhøj, Morten; Artigue, Michéle

    2013-01-01

    The terms inquiry-based learning (IBL) and inquiry-based education (IBE) have appeared with increasing frequency in educational policy and curriculum documents related to mathematics and science education over the past decade, indicating a major educational trend. We go back to the origin...... frameworks in mathematics education. Six such frameworks are analysed from the perspective of inquiry: the problem-solving tradition, the Theory of Didactical Situations, the Realistic Mathematics Education programme, the mathematical modelling perspective, the Anthropological Theory of Didactics...... of inquiry as a pedagogical concept in the work of Dewey (e.g. 1916, 1938) to analyse and discuss its migration to science and mathematics education. For conceptualizing inquiry-based mathematics education (IBME) it is important to analyse how this concept resonates with already well-established theoretical...

  5. Activity and sign grounding mathematics education

    CERN Document Server

    Hoffmann, Michael HG; Seeger, Falk

    2005-01-01

    The advancement of a scientific discipline depends not only on the ""big heroes"" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part

  6. Advanced mathematical study and the development of conditional reasoning skills.

    Directory of Open Access Journals (Sweden)

    Nina Attridge

    Full Text Available Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general 'thinking skills'. Today, this argument, known as the 'Theory of Formal Discipline' is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought.

  7. Advanced Mathematical Study and the Development of Conditional Reasoning Skills

    Science.gov (United States)

    Attridge, Nina; Inglis, Matthew

    2013-01-01

    Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general ‘thinking skills’. Today, this argument, known as the ‘Theory of Formal Discipline’ is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought. PMID:23869241

  8. Advanced mathematical study and the development of conditional reasoning skills.

    Science.gov (United States)

    Attridge, Nina; Inglis, Matthew

    2013-01-01

    Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general 'thinking skills'. Today, this argument, known as the 'Theory of Formal Discipline' is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought.

  9. Practicing Engineers' Perspective on Mathematics and Mathematics Education in College

    Science.gov (United States)

    Tosmur-Bayazit, Nermin; Ubuz, Behiye

    2013-01-01

    This paper reports on a qualitative study focusing on engineers' point of view in regard to university mathematics and mathematics education. An individual interview was conducted with three electrical and two mechanical engineers between the ages of 25-40, all engaged in successful careers. The subjects were requested to reflect upon themselves…

  10. 9th International Congress on Mathematical Education

    CERN Document Server

    Hashimoto, Yoshihiko; Hodgson, Bernard; Lee, Peng; Lerman, Stephen; Sawada, Toshio

    2004-01-01

    Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Mathematics education in contrast has a variable and culturally based character, and this is certainly true of educational organization and practice. Educational research is both an applied social science and a multidisciplinary domain of theoretical scholarship. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of ed...

  11. University Science and Mathematics Education in Transition

    DEFF Research Database (Denmark)

    Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

    clear that the transformation of knowledge outside universities has implied a change in the routes that research in mathematics, science and technology has taken in the last decades. In this context, it is difficult to avoid considering seriously the challenges that such a complex and uncertain social...... in Transition makes the volume an important resource for University science and mathematics education researchers and faculty....... 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...

  12. University Science and Mathematics Education in Transition

    DEFF Research Database (Denmark)

    Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

    of science and mathematics education in the current information society and provides insight essential for developing possibilities to improve science and mathematics education in universities all around the world. The uniquely broad treatment offered by University Science and Mathematics Education...... 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...

  13. CULTUROLOGICAL APPROACH AS METHODOLOGICAL BASIS OF MATHEMATICAL EDUCATION

    Directory of Open Access Journals (Sweden)

    Ye. A. Perminov

    2017-01-01

    literacy have the extreme humanitarian importance, since their existence either indirectly or sometimes directly influences quality of life of any person and society in general. The most in-demand, significant and obligatory thematic and methodological components of mathematical education are highlighted: mathematical modeling, discrete mathematics and computing processes. The principle of a cultural conformity and a harmonious combination of the culturological and artfundamentals of mathematical education are emphasized as the basic educational principles, the use of which is capable to improve and raise the level of mathematical culture of the Russian society on a new, higher position.The evidence from this study points towards the idea that effective functioning of the system of mathematical education is impossible without the qualified, well prepared staff who are not only professionals in the subject sphere, but also bearers of high pedagogical culture. Moral and ethical, communicative and individual, and personal components of pedagogical culture of a teacher-mathematician are characterized.Practical significance. The author is convinced that introduction of the proposed concept of mathematical education based on culturological approach to its contents and the organization will help to overcome the disproportions existing today in mathematical education between integration and subject differentiation of a training material, technologization of educational process and preservation of traditional methods of training, fundamentalization of knowledge and competence-based approach to it, etc.Materials of the publication can be useful for future and practising teachers of mathematics and allied sciences, as well as for other categories of the educators engaged in the organization and advance of mathematical education and promotion of mathematical knowledge.

  14. Mathematics education, democracy and development: Exploring connections

    Directory of Open Access Journals (Sweden)

    Renuka Vithal

    2012-08-01

    Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.

  15. Virtual Environments for Mathematics and Geometry Education

    Science.gov (United States)

    Kaufmann, Hannes

    2009-01-01

    Since ancient times mathematicians and geometricians have used visualisations to describe, discuss, study and teach mathematics. In mathematics education, visualisations are still used whenever possible to support teaching, to inspire students and feed their need to actually see abstract mathematical facts. In our times, virtual reality presents a…

  16. Advanced Mathematical Thinking and the Way to Enhance It

    Science.gov (United States)

    Herlina, Elda; Batusangkar, Stain

    2015-01-01

    This journal article discusses Advanced Mathematical Thinking (AMT) and how to enhance it. AMT is ability in representing, abstracting, creative thinking, and mathematical proving. The importance of AMT ability development in accord with government expectation who realize about the importance of mathematical competency mastery for student's life.…

  17. Adding Structure to the Transition Process to Advanced Mathematical Activity

    Science.gov (United States)

    Engelbrecht, Johann

    2010-01-01

    The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical…

  18. Reforming Science and Mathematics Education

    Science.gov (United States)

    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

  19. Perspectives on mathematical practices bringing together philosophy of mathematics, sociology of mathematics, and mathematics education

    CERN Document Server

    van Kerkhove, Bart

    2007-01-01

    Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories. Sometimes the emphasis is on the ""classical"" foundational work (often connected with the use of formal logical methods), sometimes on the sociological dimension of the mathematical research community and the ""products"" it produces, then again on the education of future mathematicians and the problem of how knowledge is or should be transmitted from one generation to the next. The editors of this book felt the urge, first of all, to bring together the widest variety of aut

  20. Research in collegiate mathematics education VII

    CERN Document Server

    Hitt, Fernando; Thompson, Patrick W

    2010-01-01

    The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first

  1. Inquiry-based Learning in Mathematics Education

    DEFF Research Database (Denmark)

    Dreyøe, Jonas; Larsen, Dorte Moeskær; Hjelmborg, Mette Dreier

    From a grading list of 28 of the highest ranked mathematics education journals, the six highest ranked journals were chosen, and a systematic search for inquiry-based mathematics education and related keywords was conducted. This led to five important theme/issues for inquiry-based learning...... developed to determine which implications were important for the didactical intervention of the design in the Quality in the subjects Danish and Mathematics (KiDM) project....

  2. Theory and practice in mathematics teacher education

    DEFF Research Database (Denmark)

    Østergaard, Kaj

    2016-01-01

    The challenge of establishing an interplay between theory and practice in mathematics teacher education is examined by the use of the anthropological theory of the didactic (ATD). The theory-practice problem is described both in an international and a Danish context. After a brief introduction...... and analysing mathematical teacher education focusing on the theory-practice problem....

  3. Assessing Journal Quality in Mathematics Education

    Science.gov (United States)

    Nivens, Ryan Andrew; Otten, Samuel

    2017-01-01

    In this Research Commentary, we describe 3 journal metrics--the Web of Science's Impact Factor, Scopus's SCImago Journal Rank, and Google Scholar Metrics' h5-index--and compile the rankings (if they exist) for 69 mathematics education journals. We then discuss 2 paths that the mathematics education community should consider with regard to these…

  4. Mathematics Education for National Competitiveness and Prestige ...

    African Journals Online (AJOL)

    Mathematics education has always been a key factor in improving a country's productivity and competitiveness. Proficiency in mathematics education implies a high-level of cognitive skills among the labour force, in other words, a high quality of human capital, which leads to technological innovation and productivity gains.

  5. Researching as an Enactivist Mathematics Education Researcher

    Science.gov (United States)

    Brown, Laurinda

    2015-01-01

    This paper focusses on how researching is done through reflections about, or at a meta-level to, the practice over time of an enactivist mathematics education researcher. How are the key concepts of enactivist theory ("ZDM Mathematics Education," doi: 10.1007/s11858-014-0634-7, 2015) applied? This paper begins by giving an…

  6. Inhibiting Intuitive Thinking in Mathematics Education

    Science.gov (United States)

    Thomas, Michael O. J.

    2015-01-01

    The papers in this issue describe recent collaborative research into the role of inhibition of intuitive thinking in mathematics education. This commentary reflects on this research from a mathematics education perspective and draws attention to some of the challenges that arise in collaboration between research fields with different cultures,…

  7. ICT- The Educational Programs in Teaching Mathematics

    Directory of Open Access Journals (Sweden)

    Dance Sivakova

    2017-08-01

    Full Text Available The range of information and communication technology in teaching mathematics is unlimited. Despite numerous researches about the opportunities and application of the ICT in teaching mathematics and in the world, however, many aspects remain unexplored. This research comes to knowledge that will be applicable to the educational practice. The findings will serve as motivation for more frequent use of the ICT in teaching mathematics from first to fifth grade as a mean for improving of the educational process. Through application of the ICT in the educational programs in teaching mathematics the technological improved practice is investigated and discussed and it helps overcoming of the challenges that arise when trying to integrate the ICT in the educational curricula in mathematics. The biggest challenge are the findings about the possibilities of the application of the ICT in the educational programs in math from first to fifth grade as well as their dissemination, all aimed to improving of teaching mathematics from the first to the fifth grade. The application of the most ICT in the educational programs of mathematics affects the training of the students for easier adoption of the mathematical concepts and the mathematical procedures and in the easier identification and resolving problem situations.

  8. On the Relationships between (Relatively) Advanced Mathematical Knowledge and (Relatively) Advanced Problem-Solving Behaviours

    Science.gov (United States)

    Koichu, Boris

    2010-01-01

    This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…

  9. Advanced Mathematical-Thinking at Any Age: Its Nature and Its Development

    Science.gov (United States)

    Harel, Guershon; Sowder, Larry

    2005-01-01

    This article argues that advanced mathematical thinking, usually conceived as thinking in advanced mathematics, might profitably be viewed as advanced thinking in mathematics (advanced mathematical-thinking). Hence, advanced mathematical-thinking can properly be viewed as potentially starting in elementary school. The definition of mathematical…

  10. Research trends in mathematics teacher education

    CERN Document Server

    Lo, Jane-Jane; Zoest, Laura RVan

    2014-01-01

    Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...

  11. Study on the Efficiency of Mathematics Distance Education

    Directory of Open Access Journals (Sweden)

    Abdollah Safavi

    2013-07-01

    Full Text Available In view of scientific and technological advancements, enthusiasm and need of the people for learning and the phenomenon of urban sprawl in many countries, especially advanced and industrial countries, distance education system has been used for many years as a method of teaching people in different locations and in different times without the student's needing to attend a class. Since it has been only a few years that this type of education has been used in the education system of the vast country of Iran and in view of special structure of mathematics and the importance and sensitiveness of its education, the present study was made to assess the success of students in this system of mathematics education. The statistical population of this research consists of 95 boy students from high schools of Tehran who were chosen by quasi-cluster method. 35 students in distance education system were chosen as experiment group and 60 students in traditional education system were chosen as control group. Using quasi-standard harmonious mathematics test and according to the results of descriptive statistics, Levene tests and independent samples test, this method of mathematics education was not found efficient for high school students of Tehran.

  12. What Mathematics Education Can Learn from Art: The Assumptions, Values, and Vision of Mathematics Education

    Science.gov (United States)

    Dietiker, Leslie

    2015-01-01

    Elliot Eisner proposed that educational challenges can be met by applying an artful lens. This article draws from Eisner's proposal to consider the assumptions, values, and vision of mathematics education by theorizing mathematics curriculum as an art form. By conceptualizing mathematics curriculum (both in written and enacted forms) as stories…

  13. Remediation, General Education, and Technical Mathematics. Educational Resources for the Machine Tool Industry.

    Science.gov (United States)

    Texas State Technical Coll. System, Waco.

    This document contains descriptions of adult education courses in remediation, general education, and technical mathematics. They are part of a program developed by the Machine Tool Advanced Skills Technology Educational Resources (MASTER) program to help workers become competent in the skills needed to be productive workers in the machine tools…

  14. An analytical framework for mathematics teacher education from a ...

    African Journals Online (AJOL)

    Whereas there has been considerable advancement in the last few decades with regard to theories and practices in mathematics education from a critical perspective, very little is known about what it means to prepare teachers for such approaches. In this article I undertake a retrospective, reflexive analysis of my praxis as ...

  15. GENERAL TASKS OF MATHEMATICAL EDUCATION DEVELOPMENT

    Directory of Open Access Journals (Sweden)

    V. A. Testov

    2014-01-01

    Full Text Available The paper discusses basic implementation aspects of the Mathematical Education Development Concept, adopted by the Russian Government in 2013. According to the above document, the main problems of mathematical education include: low motivation of secondary and higher school students for studying the discipline, resulted from underestimation of mathematical knowledge; and outdated educational content, overloaded by technical elements. In the author’s opinion, a number of important new mathematical fields, developed over the last years, - the graph theory, discrete mathematics, encoding theory, fractal geometry, etc – have a large methodological and applied educational potential. However, these new subdisciplines have very little representation both in the secondary and higher school mathematical curricula. As a solution for overcoming the gap between the latest scientific achievements and pedagogical practices, the author recommends integration of the above mentioned mathematical disciplines in educational curricula instead of some outdated technical issues. In conclusion, the paper emphasizes the need for qualified mathematical teachers’ training for solving the problems of students’ motivation development and content updates.

  16. Handbook on the history of mathematics education

    CERN Document Server

    Schubring, Gert

    2014-01-01

    This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars,  not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history...

  17. Mathematics, the Computer, and the Impact on Mathematics Education.

    Science.gov (United States)

    Tooke, D. James

    2001-01-01

    Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

  18. Mathematics education and the dignity of being

    DEFF Research Database (Denmark)

    Valero, Paola; García, Gloria; Camelo, Francisco

    2012-01-01

    the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics...... classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem......On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address...

  19. Mathematics education and the dignity of being

    Directory of Open Access Journals (Sweden)

    Paola Valero

    2012-11-01

    Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.

  20. Mathematics education and the dignity of being

    Directory of Open Access Journals (Sweden)

    Paola Valero

    2012-08-01

    Full Text Available On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.

  1. Psychology's Role in Mathematics and Science Education

    Science.gov (United States)

    Newcombe, Nora S.; Ambady, Nalini; Eccles, Jacquelynne; Gomez, Louis; Klahr, David; Linn, Marcia; Miller, Kevin; Mix, Kelly

    2009-01-01

    Improving mathematics and science education in the United States has been a matter of national concern for over half a century. Psychology has a vital role to play in this enterprise. In this article, the authors review the kinds of contributions that psychology can make in four areas: (a) early understanding of mathematics, (b) understanding of…

  2. Modelling Mathematical Reasoning in Physics Education

    Science.gov (United States)

    Uhden, Olaf; Karam, Ricardo; Pietrocola, Mauricio; Pospiech, Gesche

    2012-01-01

    Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a…

  3. Research in Mathematics Education and Language

    Science.gov (United States)

    Planas, Núria

    2016-01-01

    A synthesis of reasons for the production of this monograph is presented with a focus on contemporary research in the context of the Ninth Congress of the European Society for Research in Mathematics Education. Within the domain of mathematics and language, three lines of concern are addressed: (1) classroom discourse, (2) language diversity, and…

  4. All Students Need Advanced Mathematics. Math Works

    Science.gov (United States)

    Achieve, Inc., 2013

    2013-01-01

    This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…

  5. An Educational Program of Mathematical Creativity

    Science.gov (United States)

    Petrovici, Constantin; Havârneanu, Geanina

    2015-01-01

    In this article we intend to analyze the effectiveness of an educational program of mathematical creativity, designed for learners aged 10 to 12 years, which has been implemented in an urban school of Iasi, Romania. This analysis has both a psycho-educational dimension and a statistical analysis one. The psycho-educational dimension refers to the…

  6. Mathematics education and comparative historical studies

    Directory of Open Access Journals (Sweden)

    Wagner RODRIGUES VALENTE

    2013-11-01

    Full Text Available This paper has as its aims: to characterize the area of research «history of mathematics education» and to defend the idea that mathematics education has constituted a privileged research theme within the field of comparative historical studies. To achieve these aims, the text includes references to a review of the literature concerning comparative studies, the analysis of two fundamental moments focused on attempts to internationalize the mathematics curriculum, both of which occurred during the 20th century, and, to end, a case study emanating from an international cooperation between researchers in Brazil and Portugal.

  7. 10th European Conference on Numerical Mathematics and Advanced Applications

    CERN Document Server

    Deparis, Simone; Kressner, Daniel; Nobile, Fabio; Picasso, Marco

    2015-01-01

    This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale methods, numerical linear algebra and discretization techniques for fluid mechanics and optics are presented. As such, the book offers a valuable resource for a wide range of readers looking for a state-of-the-art overview of advanced techniques, algorithms and results in numerical mathematics and scientific computing.

  8. Metaphor Perceptions of Pre-Service Teachers towards Mathematics and Mathematics Education in Preschool Education

    Science.gov (United States)

    Keles, Oguz; Tas, Isil; Aslan, Durmus

    2016-01-01

    The aim of this study was to identify the thoughts of pre-service teachers, who play an important role in the early preschool experience of children in mathematics, towards the concepts of mathematics and education of mathematics with the help of metaphors. The study group of the research consists of a total of 227 pre-service teachers at the…

  9. Broadening the role of theory in mathematics education research

    DEFF Research Database (Denmark)

    Pais, Alexandre; Stentoft, Diana; Valero, Paola

    2010-01-01

    In C. Bergsten, E. Jablonka and T. Wedege (Eds), Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, The Seventh Mathematics Education Research Seminar, Stockholm, January 26-27, 2010. Linköping: SMDF.......In C. Bergsten, E. Jablonka and T. Wedege (Eds), Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, The Seventh Mathematics Education Research Seminar, Stockholm, January 26-27, 2010. Linköping: SMDF....

  10. Effects of Early Acceleration of Students in Mathematics on Taking Advanced Mathematics Coursework in High School

    Science.gov (United States)

    Ma, Xin

    2010-01-01

    Based on data from the Longitudinal Study of American Youth (LSAY), students were classified into high-, middle-, and low-ability students. The effects of early acceleration in mathematics on the most advanced mathematics coursework (precalculus and calculus) in high school were examined in each category. Results showed that although early…

  11. Sustaining science, technology and mathematics teacher education ...

    African Journals Online (AJOL)

    Sustaining science, technology and mathematics teacher education through gender mainstreaming. C Ugwuanyi, O Bankole. Abstract. No Abstract. Global Journal of Educational Research Vol. 2(1&2) 2003: 17-22. Full Text: EMAIL FULL TEXT EMAIL FULL TEXT · DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT.

  12. Gender differences in advanced mathematical problem solving.

    Science.gov (United States)

    Gallagher, A M; De Lisi, R; Holst, P C; McGillicuddy-De Lisi, A V; Morely, M; Cahalan, C

    2000-03-01

    Strategy flexibility in mathematical problem solving was investigated. In Studies 1 and 2, high school juniors and seniors solved Scholastic Assessment Test-Mathematics (SAT-M) problems classified as conventional or unconventional. Algorithmic solution strategies were students' default choice for both types of problems across conditions that manipulated item format and solution time. Use of intuitive strategies on unconventional problems was evident only for high-ability students. Male students were more likely than female students to successfully match strategies to problem characteristics. In Study 3, a revised taxonomy of problems based on cognitive solution demands was predictive of gender differences on Graduate Record Examination-Quantitative (GRE-Q) items. Men outperformed women overall, but the difference was greater on items requiring spatial skills, shortcuts, or multiple solution paths than on problems requiring verbal skills or mastery of classroom-based content. Results suggest that strategy flexibility is a source of gender differences in mathematical ability assessed by SAT-M and GRE-Q problem solving. Copyright 2000 Academic Press.

  13. Perspectives on Sami Mathematics Education

    Science.gov (United States)

    Fyhn, Anne Birgitte; Eira, Ellen J. Sara; Sriraman, Bharath

    2011-01-01

    The Sami are an indigenous people of the Arctic, and through a resolution of the United Nations, Norway is bound to take care of the Sami culture and language. Since 1987 the Sami have had their own curriculum, but they have no mathematics syllabus. In this paper we summarize the legal acts that take care of the Sami culture within the Norwegian…

  14. European Conference on Numerical Mathematics and Advanced Applications

    CERN Document Server

    Manguoğlu, Murat; Tezer-Sezgin, Münevver; Göktepe, Serdar; Uğur, Ömür

    2016-01-01

    The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013). This book presents a selection of invited and contributed lectures from the ENUMATH 2015 conference, which was organised by the Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, from September 14 to 18, 2015. It offers an overview of central recent developments in numerical analysis, computational mathematics, and applications in the form of contributions by leading experts in the field.

  15. Queering, Trans-Forming, and En-Gendering Mathematics and Mathematics Education

    Science.gov (United States)

    Sheldon, James Richard; Rands, Kai

    2013-01-01

    A group of researchers, graduate students, and classroom teachers convened a working group on "Queering, Trans-forming, and En-gendering Mathematics and Mathematics Education" at the Psychology of Mathematics Education-North America conference in November 2013. Arguing that the "time has come to queer mathematics and mathematics…

  16. Cognitive Neuroscience Meets Mathematics Education

    Science.gov (United States)

    De Smedt, Bert; Ansari, Daniel; Grabner, Roland H.; Hannula, Minna M.; Schneider, Michael; Verschaffel, Lieven

    2010-01-01

    While there has been much theoretical debate concerning the relationship between neuroscience and education, researchers have started to collaborate across both disciplines, giving rise to the interdisciplinary research field of neuroscience and education. The present contribution tries to reflect on the challenges of this new field of empirical…

  17. DEVELOPING EVALUATION INSTRUMENT FOR MATHEMATICS EDUCATIONAL SOFTWARE

    Directory of Open Access Journals (Sweden)

    Wahyu Setyaningrum

    2012-02-01

    Full Text Available The rapid increase and availability of mathematics software, either for classroom or individual learning activities, presents a challenge for teachers. It has been argued that many products are limited in quality. Some of the more commonly used software products have been criticized for poor content, activities which fail to address some learning issues, poor graphics presentation, inadequate documentation, and other technical problems. The challenge for schools is to ensure that the educational software used in classrooms is appropriate and effective in supporting intended outcomes and goals. This paper aimed to develop instrument for evaluating mathematics educational software in order to help teachers in selecting the appropriate software. The instrument considers the notion of educational including content, teaching and learning skill, interaction, and feedback and error correction; and technical aspects of educational software including design, clarity, assessment and documentation, cost and hardware and software interdependence. The instrument use a checklist approach, the easier and effective methods in assessing the quality of educational software, thus the user needs to put tick in each criteria. The criteria in this instrument are adapted and extended from standard evaluation instrument in several references.   Keywords: mathematics educational software, educational aspect, technical aspect.

  18. Global Journal of Mathematical Sciences: Advanced Search

    African Journals Online (AJOL)

    Search tips: Search terms are case-insensitive; Common words are ignored; By default only articles containing all terms in the query are returned (i.e., AND is implied); Combine multiple words with OR to find articles containing either term; e.g., education OR research; Use parentheses to create more complex queries; e.g., ...

  19. Politics of Meaning in Mathematics Education

    DEFF Research Database (Denmark)

    Skovsmose, Ole

    2016-01-01

    By a politics of meaning I refer to the social, economic, cultural and religious conditions for experiencing meaning. I refer as well to the layers of visons, assumptions, presumptions and preconceptions that might construct something as being meaningful. By addressing different politics of meani...... of such factors. Politics of meaning can be analysed with reference to sexism, racism, instrumentalism, the school mathematics tradition, critical mathematics education, and the banality of expertise....... in mathematics education, I want to show how meaning becomes formatted. In order to do this, I provide a foreground-interpretation of meaning. The basic idea is to relate meanings and foregrounds, acknowledging that foregrounds are formed bya range of factors, as well as by the person’s experiences...

  20. Mathematicians' and Math Educators' Views on "Doing Mathematics"

    Science.gov (United States)

    Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch

    2016-01-01

    Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…

  1. Artificial Intelligence, Computational Thinking, and Mathematics Education

    Science.gov (United States)

    Gadanidis, George

    2017-01-01

    Purpose: The purpose of this paper is to examine the intersection of artificial intelligence (AI), computational thinking (CT), and mathematics education (ME) for young students (K-8). Specifically, it focuses on three key elements that are common to AI, CT and ME: agency, modeling of phenomena and abstracting concepts beyond specific instances.…

  2. Improving science, technology and mathematics education in ...

    African Journals Online (AJOL)

    PROF.MIREKU

    O. A. Sofowora1, & B. Adekomi. Abstract. The study assessed the impact of a World Bank Assisted Project “STEP-B” on teaching and learning of Science, Technology and Mathematics Education (STM) in. Nigeria. It also described the contribution of Obafemi Awolowo University, Ile-Ife to the improvement of STM through ...

  3. Cultural Diversity in Mathematics (Education): CIEAEM 51.

    Science.gov (United States)

    Ahmed, Afzal; Williams, Honor; Kraemer, Jean Marie

    The 51st meeting of the Commission Internationale pour L'Etude et L'Amelioration de L'Ensignment des Mathematiques (CIEAEM) was held July, 1999 at Chichester, UK and facilitated the collaboration of delegates from over 30 countries providing a variety of perspectives on the theme OCultural Diversity in Mathematics Education'. The papers in this…

  4. Developing a Mathematics Education Quality Scale

    Science.gov (United States)

    Ciftci, S. Koza; Karadag, Engin

    2016-01-01

    The aim of this study was to evaluate students' perceptions of the quality of mathematics education and to develop a reliable and valid measurement tool. The research was conducted with 638 (first study) and 407 (second study) secondary school students in Eskisehir, Turkey. Item discrimination, structural validity (exploratory factor analysis and…

  5. Prototypes in secondary and university mathematical education

    OpenAIRE

    Pilous, Derek; Janda, David

    2015-01-01

    International audience; The aim of presentation was to demonstrate our extension of previous theoretical framework of prototypes – a term of cognitive psychology – in mathematics education, illustrated by examples of students’ outcomes and sets out a research project based on this framework. The study was supported by Charles University in Prague, project GA UK No 227-364.

  6. Significance of Learner's Externalization and Argumentation in Research on Mathematics Education : Based on epistemology of mathematics and epistemology in mathematics education

    OpenAIRE

    松島, 充

    2013-01-01

    The purposes of this study are to investigate relation between externalization by oral language and understanding in mathematics education, and to clarify epistemology in mathematics education whichhas deep relation in a Jigsaw method. Method of this study is literature study on epistemology. Epistemology of mathematics and epistemology in mathematics education are analyzed from the standpoints of the relation between externalization by oral language and understanding in mathematics education...

  7. Advanced Mathematical Tools in Metrology III

    Science.gov (United States)

    Ciarlini, P.

    The Table of Contents for the book is as follows: * Foreword * Invited Papers * The ISO Guide to the Expression of Uncertainty in Measurement: A Bridge between Statistics and Metrology * Bootstrap Algorithms and Applications * The TTRSs: 13 Oriented Constraints for Dimensioning, Tolerancing & Inspection * Graded Reference Data Sets and Performance Profiles for Testing Software Used in Metrology * Uncertainty in Chemical Measurement * Mathematical Methods for Data Analysis in Medical Applications * High-Dimensional Empirical Linear Prediction * Wavelet Methods in Signal Processing * Software Problems in Calibration Services: A Case Study * Robust Alternatives to Least Squares * Gaining Information from Biomagnetic Measurements * Full Papers * Increase of Information in the Course of Measurement * A Framework for Model Validation and Software Testing in Regression * Certification of Algorithms for Determination of Signal Extreme Values during Measurement * A Method for Evaluating Trends in Ozone-Concentration Data and Its Application to Data from the UK Rural Ozone Monitoring Network * Identification of Signal Components by Stochastic Modelling in Measurements of Evoked Magnetic Fields from Peripheral Nerves * High Precision 3D-Calibration of Cylindrical Standards * Magnetic Dipole Estimations for MCG-Data * Transfer Functions of Discrete Spline Filters * An Approximation Method for the Linearization of Tridimensional Metrology Problems * Regularization Algorithms for Image Reconstruction from Projections * Quality of Experimental Data in Hydrodynamic Research * Stochastic Drift Models for the Determination of Calibration Intervals * Short Communications * Projection Method for Lidar Measurement * Photon Flux Measurements by Regularised Solution of Integral Equations * Correct Solutions of Fit Problems in Different Experimental Situations * An Algorithm for the Nonlinear TLS Problem in Polynomial Fitting * Designing Axially Symmetric Electromechanical Systems of

  8. Critical issues in mathematics education major contributions of Alan Bishop

    CERN Document Server

    Presmeg, Norma C; Presmeg, Norma C

    2008-01-01

    Here are presented the contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues in the development of mathematics education research are reviewed and the current developments in each area are discussed.

  9. Research in collegiate mathematics education III

    CERN Document Server

    Arcavi, A; Kaput, Jim; Dubinsky, Ed; Dick, Thomas

    1998-01-01

    Volume III of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching, and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem solving. Included here are three different articles analyzing aspects of Schoenfeld's undergraduate problem-solving instruction. The articles provide new detail and insight on a well-known and widely discussed course taught by Schoenfeld for many years. Understanding concepts. These articles fe

  10. An approach critical in mathematics education: Opportunities and interaction theory-practice-through critical mathematics education

    Directory of Open Access Journals (Sweden)

    Itamar Miranda da Silva

    2011-06-01

    Full Text Available This paper discusses the possibilities of articulation of theory-and-practice in the teaching, by means of critical mathematics education as a proposal for the teacher facing the challenges of daily life in the classroom. The discussion is based on the literature through which was estudied and analyzed several books, articles and dissertations on the subject, as well as our experiences and reflections resulting from the process of teacher education we experienced. From the readings and analysis was possible to construct a teaching proposal that suggests to address critical mathematics education as an alternative link between theory and practice and to assign to the teaching of mathematics a greater dynamism, with the prospect of developing knowledge and pedagogical practices that contribute to a broader training, which prepares for citizenship and for being critical students and teachers in the training process. Conjectures were raised about possible contributions of critical mathematics education as a differentiated alternative as opposed to reproductivist teaching. We believe therefore that this article could help with the reflections on the importance of mathematics education in teacher education which enables the realization that beyond disciplinary knowledge (content, are necessary pedagogical knowledge, curriculum and experiential to address the problems that relate to the teaching of mathematics

  11. Differences in mathematics anxiety by sex, program, and education of university mathematics students in Turkey.

    Science.gov (United States)

    Dane, Arif

    2005-04-01

    In this study, we aimed to re-examine sex-related differences in mathematics anxiety and to investigate the effects of two different programs associated with mathematics education applied in Turkish universities on mathematics anxiety. Mathematics anxiety scores were assessed in 221 male and 142 female students, 238 in the education faculty and 125 in the science faculty. There were no sex-related mean differences for mathematics anxiety scores, and scores were not related to faculty program. The lower mean mathematics performance on the university entry examination of the students of science faculty may be associated with the mathematics anxiety.

  12. New Avenues for History in Mathematics Education: Mathematical Competencies and Anchoring

    DEFF Research Database (Denmark)

    Jankvist, U. T.; Kjeldsen, T. H.

    2011-01-01

    The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education that each gives rise to different problems....... The first scenario occurs when history is used as a ‘tool’ for the learning and teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics education. We introduce a multiple-perspective approach to history, and suggest that research on history...... in mathematics education follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this is described. Secondly, when...

  13. Elementary General and Special Education Teachers' Mathematics Skills and Efficacy

    Science.gov (United States)

    Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita

    2014-01-01

    The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…

  14. Enhancing Teacher Education in Primary Mathematics with Mobile Technologies

    Science.gov (United States)

    Schuck, Sandy

    2016-01-01

    A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…

  15. Coding as a Trojan Horse for Mathematics Education Reform

    Science.gov (United States)

    Gadanidis, George

    2015-01-01

    The history of mathematics educational reform is replete with innovations taken up enthusiastically by early adopters without significant transfer to other classrooms. This paper explores the coupling of coding and mathematics education to create the possibility that coding may serve as a Trojan Horse for mathematics education reform. That is,…

  16. Advanced Mathematical Knowledge in Teaching Practice: Perceptions of Secondary Mathematics Teachers

    Science.gov (United States)

    Zazkis, Rina; Leikin, Roza

    2010-01-01

    For the purpose of our research we define Advanced Mathematical Knowledge (AMK) as knowledge of the subject matter acquired during undergraduate studies at colleges or universities. We examine the responses of secondary school teachers about their usage of AMK in teaching. We find that the majority of teachers focus on the purposes and advantages…

  17. Tools of the trade introduction to advanced mathematics

    CERN Document Server

    Sally, Jr, Paul J

    2008-01-01

    This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics. Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such

  18. Mathematical foundations of quantum mechanics: An advanced short course

    Science.gov (United States)

    Moretti, Valter

    2016-08-01

    This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called (C∗-) algebraic formulation of quantum theories.

  19. Effects of Secondary School Students' Perceptions of Mathematics Education Quality on Mathematics Anxiety and Achievement

    Science.gov (United States)

    Çiftçi, S. Koza

    2015-01-01

    The two aims of this study are as follows: (1) to compare the differences in mathematics anxiety and achievement in secondary school students according to their perceptions of the quality of their mathematics education via a cluster analysis and (2) to test the effects of the perception of mathematics education quality on anxiety and achievement…

  20. Exploring the Disconnect between Mathematics Ability and Mathematics Efficacy among Preservice Agricultural Education Teachers

    Science.gov (United States)

    Hilby, Alyssa C.; Stripling, Christopher T.; Stephens, Carrie A.

    2014-01-01

    STEM disciplines will continue to impact school-based agricultural education programs; thus, in order to produce secondary students proficient in science and mathematics, developing preservice agricultural education teachers who are competent in mathematics and teaching mathematics is essential. This study utilized data collected through a focus…

  1. Mathematics Education and Neurosciences: Towards Interdisciplinary Insights into the Development of Young Children's Mathematical Abilities

    Science.gov (United States)

    Van Nes, Fenna

    2011-01-01

    The Mathematics Education and Neurosciences project is an interdisciplinary research program that bridges mathematics education research with neuroscientific research. The bidirectional collaboration will provide greater insight into young children's (aged four to six years) mathematical abilities. Specifically, by combining qualitative "design…

  2. The Effect of Realistic Mathematics Education Approach on Students' Achievement And Attitudes Towards Mathematics

    Directory of Open Access Journals (Sweden)

    Effandi Zakaria

    2017-02-01

    Full Text Available This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30$ namely, the Realistic Mathematics Approach group (PMR and the control group $(n = 31$ namely, the traditional group. This study was conducted for six weeks. The instruments used in this study were the achievement test and the attitudes towards mathematics questionnaires. Data were analyzed using SPSS. To determine the difference in mean achievement and attitudes between the two groups, data were analyzed using one-way ANOVA test. The result showed significant differences between the Realistic Mathematics Approach and the traditional approach in terms of achievement. The study showed no significant difference between the Realistic Mathematics Approach and the traditional approach in term of attitudes towards mathematics. It can be concluded that the use of realistic mathematics education approach enhanced students' mathematics achievement, but not attitudes towards mathematics. The Realistic Mathematics Education Approach encourage students to participate actively in the teaching and learning of mathematics. Thus, Realistic Mathematics Education Approach is an appropriate methods to improve the quality of teaching and learning process.

  3. Mathematical Modeling Activities as a Useful Tool for Values Education

    Science.gov (United States)

    Doruk, Bekir Kursat

    2012-01-01

    Values education is crucial since it is one of the factors to reach success in education in broader sense and in mathematics education in particular sense. It is also important for educating next generations of societies. However, previous research showed that expected importance for values education was not given in Mathematics courses. In a few…

  4. Integrating HIV&AIDS education in pre-service Mathematics ...

    African Journals Online (AJOL)

    Drawing on self-study, the work of a Mathematics teacher educator who worked with pre-service teachers to integrate HIV & AIDS education at a higher education institution is described. By considering integration of HIV & AIDS education in Mathematics Education and taking action it is possible to develop strategies which ...

  5. HUMANIZATION AND HUMANITATION OF MATHEMATICAL EDUCATION AND ROLE OF MATHEMATICAL LOGIC IN THESE PROCESSES

    Directory of Open Access Journals (Sweden)

    Y. I. Sinko

    2011-11-01

    Full Text Available In this article the speech goes about humanization and humanitation of education in general and mathematical education in particular. Maintenance of these concepts is opened up, the phenomena and processes which they entailed and the role of mathematical logic comes to light in them are examined. Basic directions of development of humanization and humanitation of mathematical education in the modern conditions of educational process of higher school are determined

  6. HUMANIZATION AND HUMANITATION OF MATHEMATICAL EDUCATION AND ROLE OF MATHEMATICAL LOGIC IN THESE PROCESSES

    OpenAIRE

    Y. I. Sinko

    2011-01-01

    In this article the speech goes about humanization and humanitation of education in general and mathematical education in particular. Maintenance of these concepts is opened up, the phenomena and processes which they entailed and the role of mathematical logic comes to light in them are examined. Basic directions of development of humanization and humanitation of mathematical education in the modern conditions of educational process of higher school are determined

  7. The Effect of Realistic Mathematics Education Approach on Students' Achievement And Attitudes Towards Mathematics

    OpenAIRE

    Effandi Zakaria; Muzakkir Syamaun

    2017-01-01

    This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30)$ namely, the Realistic Mathematics Approach group ...

  8. Toward an Analysis of Video Games for Mathematics Education

    Science.gov (United States)

    Offenholley, Kathleen

    2011-01-01

    Video games have tremendous potential in mathematics education, yet there is a push to simply add mathematics to a video game without regard to whether the game structure suits the mathematics, and without regard to the level of mathematical thought being learned in the game. Are students practicing facts, or are they problem-solving? This paper…

  9. The Popularization of China's Higher Education and Its Influence on University Mathematics Education

    Science.gov (United States)

    Jing, Tang

    2007-01-01

    This paper introduces the current situation of the popular Chinese university education, points out the impact of popularized Chinese higher education on its university mathematics education, and presents the actualities and existing problems of university mathematics education research in China.

  10. Mathematics and communication skills using educational software in math classes

    Directory of Open Access Journals (Sweden)

    Marjolis Laffita-Cuza

    2017-04-01

    Full Text Available The current transformations conceive among others, to form in the race of Mathematics-Physics a professor who imparts indistinctly the subjects of Mathematics and Physics in the upper secondary education from the third year of this race which requires putting more emphasis in the orientation of those Subjects to achieve greater professionalism. The present paper approaches from the theoretical aspects the essential aspects in the educational process of the learning of mathematics for the Mathematics-Physics career of the university of pedagogical sciences such as mathematical communicative competences and the use of educational software, all in function of achieving A greater development of student's mathematical logical thinking.

  11. The pragmatics of mathematics education vagueness and mathematical discourse

    CERN Document Server

    Rowland, Tim

    2003-01-01

    Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

  12. Learning via problem solving in mathematics education

    Directory of Open Access Journals (Sweden)

    Piet Human

    2009-09-01

    Full Text Available Three forms of mathematics education at school level are distinguished: direct expository teaching with an emphasis on procedures, with the expectation that learners will at some later stage make logical and functional sense of what they have learnt and practised (the prevalent form, mathematically rigorous teaching in terms of fundamental mathematical concepts, as in the so-called “modern mathematics” programmes of the sixties, teaching and learning in the context of engaging with meaningful problems and focused both on learning to become good problem solvers (teaching for problem solving andutilising problems as vehicles for the development of mathematical knowledge andproficiency by learners (problem-centred learning, in conjunction with substantialteacher-led social interaction and mathematical discourse in classrooms.Direct expository teaching of mathematical procedures dominated in school systems after World War II, and was augmented by the “modern mathematics” movement in the period 1960-1970. The latter was experienced as a major failure, and was soon abandoned. Persistent poor outcomes of direct expository procedural teaching of mathematics for the majority of learners, as are still being experienced in South Africa, triggered a world-wide movement promoting teaching mathematics for and via problem solving in the seventies and eighties of the previous century. This movement took the form of a variety of curriculum experiments in which problem solving was the dominant classroom activity, mainly in the USA, Netherlands, France and South Africa. While initially focusing on basic arithmetic (computation with whole numbers and elementary calculus, the problem-solving movement started to address other mathematical topics (for example, elementary statistics, algebra, differential equations around the turn of the century. The movement also spread rapidly to other countries, including Japan, Singapore and Australia. Parallel with the

  13. Mathematics education and learning disabilities in Spain.

    Science.gov (United States)

    Casas, Ana Miranda; Castellar, Rosa García

    2004-01-01

    In the first part of this article, we describe the basic objectives of the math curriculum in Spain as well as the basic contents, teacher resources, and obstacles perceived in mathematics instruction. Second, we briefly describe the concept of learning disabilities (LD) as they are currently defined in Spain. As stated in the recent educational reform, a student with LD is any student with special educational needs. The emphasis is placed on the educational resources that these students need in order to achieve the curricular objectives that correspond to their age group or grade. Third, we comment specifically on the educational services model and the evaluation and instructional procedures for students with math learning disabilities. Finally, we describe some lines of research that have appeared in the last few years in Spain that have led to the development of new evaluation and intervention procedures for students with LD in computation and problem solving.

  14. Mathematics Education in Singapore--An Insider's Perspective

    Science.gov (United States)

    Kaur, Berinderjeet

    2014-01-01

    Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012…

  15. The Effects of an Educational Video Game on Mathematical Engagement

    Science.gov (United States)

    Chang, Mido; Evans, Michael A.; Kim, Sunha; Norton, Anderson; Deater-Deckard, Kirby; Samur, Yavuz

    2016-01-01

    In an effort to maximizing success in mathematics, our research team implemented an educational video game in fifth grade mathematics classrooms in five schools in the Eastern US. The educational game was developed by our multi-disciplinary research team to achieve a hypothetical learning trajectory of mathematical thinking of 5th grade students.…

  16. STEM Education: What Does Mathematics Have to Offer?

    Science.gov (United States)

    Fitzallen, Noleine

    2015-01-01

    The emphasis on science, technology, engineering, and mathematics (STEM) education in recent times could be perceived as business as usual or as an opportunity for innovation and change in mathematics classrooms. Either option presents challenges for mathematics educators who are expected to contribute to the foundations of a STEM literate…

  17. What Is Our First Philosophy in Mathematics Education?

    Science.gov (United States)

    Ernest, Paul

    2012-01-01

    What are the theoretical foundations of mathematics education? Recently disciplines other than mathematics and psychology have grown in importance, including philosophy. But which branch of philosophy is the most fundamental for mathematics education? In this article, I consider the claims of five branches of philosophy to be our "first…

  18. Innovation in mathematics education: beyond the technology

    Directory of Open Access Journals (Sweden)

    Salvador Llinares

    2013-06-01

    Full Text Available Relationships between mathematical competence and mathematics teaching innovation do emerge the need for new practices of mathematics teaching. One of the aspects of this new practice is the interaction patterns in the classroom characterizing the mathematical discourse. From these perspectives, the relation between innovation and new mathematics practices defines different contexts for professional development of mathematics teacher.

  19. Preschool and School Educators Noticing Young Children's Mathematics

    Science.gov (United States)

    Perry, Bob

    2013-01-01

    This paper reports on how one of the major outcomes from a long term mathematics education professional development project involving educators from preschools and the early years of school in South Australia is being used by these educators to notice young children's mathematics. The educators use "Reflective Continua" to guide their…

  20. Building a Program of University Physics and Mathematics Education

    Science.gov (United States)

    Tanaka, Tadayoshi; Nakamura, Akira; Kagiyama, Shigenori; Namiki, Masatoshi; Ejiri, Arisato; Ohshima, Kazunari; Mishima, Akiomi; Aoki, Katsuhiko

    Authors built physics learning modules which consist of lectures, experiments and practices, introducing physics experiments of elementary and secondary education. In addition, we are operating "KIT Mathematics Navigation" in order to complement mathematical basics to engineering education. Based on these results, we are building studies and development of an education program in order to support the learning paradigm shift and to help students learn physics and mathematics complimentarily for liberal arts education course in universities.

  1. Profile of Metacognition of Mathematics and Mathematics Education Students in Understanding the Concept of Integral Calculus

    Science.gov (United States)

    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.

  2. Establishing a mathematical Lesson Study culture in Danish teacher education

    DEFF Research Database (Denmark)

    Skott, Charlotte Krog; Østergaard, Camilla Hellsten

    Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...

  3. Mathematics Educators' Views on the Role of Mathematics Learning in Developing Deductive Reasoning

    Science.gov (United States)

    Ayalon, Michal; Even, Ruhama

    2010-01-01

    This study examines the views of people involved in mathematics education regarding the commonly stated goal of using mathematics learning to develop deductive reasoning that is usable outside of mathematical contexts. The data source includes 21 individual semi-structured interviews. The findings of the study show that the interviewees ascribed…

  4. Pre-Service Teachers' Mathematics Content Knowledge: Implications for How Mathematics Is Taught in Higher Education

    Science.gov (United States)

    Lowrie, Tom; Jorgensen, Robyn

    2016-01-01

    This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…

  5. Research in collegiate mathematics education IV

    CERN Document Server

    Dubinsky, Ed; Kaput, Jim

    2001-01-01

    This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume co

  6. Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

    Science.gov (United States)

    Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

    2018-01-01

    Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

  7. Mathematics Competency and Situational Mathematics Anxiety: What are the Links and How Do These Links Affect Teacher Education Programs?

    Science.gov (United States)

    Cooke, Audrey; Hurst, Chris

    2012-01-01

    The issue of mathematics anxiety and its possible links to mathematical competence have long been of concern to mathematics educators, particularly with the potential of the effects of mathematics anxiety to be transmitted from teacher to student. Hence it is in the interests of teacher educators to understand the nature of mathematics anxiety and…

  8. Research in Mathematics Education: Multiple Methods for Multiple Uses

    Science.gov (United States)

    Battista, Michael; Smith, Margaret S.; Boerst, Timothy; Sutton, John; Confrey, Jere; White, Dorothy; Knuth, Eric; Quander, Judith

    2009-01-01

    Recent federal education policies and reports have generated considerable debate about the meaning, methods, and goals of "scientific research" in mathematics education. Concentrating on the critical problem of determining which educational programs and practices reliably improve students' mathematics achievement, these policies and reports focus…

  9. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    Sponsors. African Journal of Educational Studies in Mathematics and Sciences is housed in the Department of Mathematics Education, University of Education, Winneba, P. O. Box 25, Winneba, Ghana, and sponsored by Centre for School and Community, Science and Technology Studies (SACOST) and Institute for ...

  10. An introduction to inferentialism in mathematics education

    Science.gov (United States)

    Derry, Jan

    2017-12-01

    This paper introduces the philosophical work of Robert Brandom, termed inferentialism, which underpins this collection and argues that it offers rich theoretical resources for reconsidering many of the challenges and issues that have arisen in mathematics education. Key to inferentialism is the privileging of the inferential over the representational in an account of meaning; and of direct concern here is the theoretical relevance of this to the process by which learners gain knowledge. Inferentialism requires that the correct application of a concept is to be understood in terms of inferential articulation, simply put, understanding it as having meaning only as part of a set of related concepts. The paper explains how Brandom's account of the meaning is inextricably tied to freedom and it is our responsiveness to reasons involving norms which makes humans a distinctive life form. In an educational context norms, function to delimit the domain in which knowledge is acquired and it is here that the neglect of our responsiveness to reasons is significant, not only for Brandom but also for Vygotsky, with implications for how knowledge is understood in mathematics classrooms. The paper explains the technical terms in Brandom's account of meaning, such as deontic scorekeeping, illustrating these through examples to show how the inferential articulation of a concept, and thus its correct application, is made visible. Inferentialism fosters the possibility of overcoming some of the thorny old problems that have seen those on the side of facts and disciplines opposed to those whose primary concern is the meaning making of learners.

  11. Reforms of the university mathematics education for non-mathematical specialties

    OpenAIRE

    Xiao, Shutie

    2003-01-01

    This article is a part of the report for the research project ``Reform of the Course System and Teaching Content of Higher Mathematics (For Non-Mathematical Specialties)'' in 1995, supported by the National Ministry of Education. There are thirteen universities participated in this project. The Report not only reflects results of our participants, but also includes valuable opinions of many colleagues in the mathematical education circles. In this article, after a brief description on the his...

  12. Advanced Technology for Engineering Education

    Science.gov (United States)

    Noor, Ahmed K. (Compiler); Malone, John B. (Compiler)

    1998-01-01

    This document contains the proceedings of the Workshop on Advanced Technology for Engineering Education, held at the Peninsula Graduate Engineering Center, Hampton, Virginia, February 24-25, 1998. The workshop was jointly sponsored by the University of Virginia's Center for Advanced Computational Technology and NASA. Workshop attendees came from NASA, other government agencies, industry and universities. The objectives of the workshop were to assess the status of advanced technologies for engineering education and to explore the possibility of forming a consortium of interested individuals/universities for curriculum reform and development using advanced technologies. The presentations covered novel delivery systems and several implementations of new technologies for engineering education. Certain materials and products are identified in this publication in order to specify adequately the materials and products that were investigated in the research effort. In no case does such identification imply recommendation or endorsement of products by NASA, nor does it imply that the materials and products are the only ones or the best ones available for this purpose. In many cases equivalent materials and products are available and would probably produce equivalent results.

  13. Investigating Alignment between Elementary Mathematics Teacher Education and Graduates' Teaching of Mathematics for Conceptual Understanding

    Science.gov (United States)

    Jansen, Amanda; Berk, Dawn; Meikle, Erin

    2017-01-01

    In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…

  14. Starting a Conversation about Open Data in Mathematics Education Research

    Science.gov (United States)

    Logan, Tracy

    2015-01-01

    This position paper discusses the role of open access research data within mathematics education, a relatively new initiative across the wider research community. International and national policy documents are explored and examples from both the scientific and social science paradigms of mathematical sciences and mathematics education…

  15. Learning to teach mathematical modelling in secondary and tertiary education

    Science.gov (United States)

    Ferri, Rita Borromeo

    2017-07-01

    Since 2003 mathematical modelling in Germany is not only a topic for scientific disciplines in university mathematics courses, but also in school starting with primary school. This paper shows what mathematical modelling means in school and how it can be taught as a basis for complex modeling problems in tertiary education.

  16. The Role of Mathematics Learning Centres in Engineering Education.

    Science.gov (United States)

    Fuller, Milton

    2002-01-01

    Points out the diminishing demand for mathematics undergraduate programs and the strong trend in engineering education to make greater use of computer coursework such as Mathcad, Matlab, and other software systems for the mathematical and statistical components of engineering programs. Describes the changing role of mathematics learning centers…

  17. environmental education and the teaching of mathematics in the ...

    African Journals Online (AJOL)

    ENVIRONMENTAL EDUCATION AND THE. TEACHING OF MATHEMATICS IN THE. PRIMARY SCHOOL. S . S . M a d· i b a. Mathematics at the primary school level should be closely linked to the reality of the learner. The school grounds and local environment provide ample opportunities to do this. Mathematics is a living ...

  18. Mathematical Education of Engineers--A Future Perspective.

    Science.gov (United States)

    Bajpai, A. C.; James, D. J. G.

    1985-01-01

    Topics and issues related to the mathematics education of engineers are discussed. Major areas addressed include industrial requirements; influences on the mathematics curriculum; and problems related to implementing recommendations made concerning changes in the mathematics curriculum. Indicates that a reappraisal of the position of mathematics…

  19. 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...

  20. Investigations in Mathematics Education, Vol. 10, No. 4.

    Science.gov (United States)

    Osborne, Alan R., Ed.

    Eighteen research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, five with topics in mathematics instruction (history of mathematics, exponents, probability, calculus, and calculators), four with teacher characteristics, and one each with testing, student interests,…

  1. MATHEMATICS EDUCATION IN SINGAPORE - AN INSIDER’S PERSPECTIVE

    OpenAIRE

    Berinderjeet Kaur

    2014-01-01

    Singapore’s Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore dur...

  2. Mathematics education as a network of social practices

    DEFF Research Database (Denmark)

    Valero, Paola

    2010-01-01

    Based on an analysis of mathematics education research as an academic field and on current social, political and economic transformations in many European countries, I would argue for the need to rethink and enlarge definitions and views of mathematics education as a scientific field of study...... in order to provide better understandings and alternatives for practice in the teaching and learning of mathematics today. I will explore the notion of the “network of mathematics education practices” as a complex, multi-layered space of social practice where the meanings of the teaching and learning...

  3. Perspectives on instructor modeling in mathematics teacher education

    OpenAIRE

    Brown, Cassondra

    2009-01-01

    Teachers' instructional practices are greatly shaped by their own learning experiences as students in K-12 and college classrooms, which for most teachers was traditional, teacher-centered instruction. One of the challenges facing mathematics education reform is that, traditional teaching is in contrast to reform student- centered instruction. If teachers learn from their experiences as mathematics students, mathematics teacher educators are encouraged to model practices they would like teach...

  4. Mathematics Capital in the Educational Field: Bourdieu and Beyond

    Science.gov (United States)

    Williams, Julian; Choudry, Sophina

    2016-01-01

    Mathematics education needs a better appreciation of the dominant power structures in the educational field: Bourdieu's theory of capital provides a good starting point. We argue from Bourdieu's perspective that school mathematics provides capital that is finely tuned to generationally reproduce the social structures that serve to keep the…

  5. The power of mathematics education in the 18th century

    NARCIS (Netherlands)

    Kruger, J.H.J.

    2014-01-01

    In the Dutch Republic in the 18th century mathematics was considered very important for many professions. However there were hardly any national or regional educational institutes which provided mathematics education. Three orphanages in different towns received a large inheritance under condition

  6. The power of mathematics education in the 18th century

    NARCIS (Netherlands)

    Krüger, J.H.J.

    2013-01-01

    In the Dutch Republic in the 18th century mathematics was considered very important for many professions. However there were hardly any national or regional educational institutes which provided mathematics education. Three orphanages in different towns received a large inheritance under condition

  7. Mathematics Education and the Objectivist Programme in HPS

    NARCIS (Netherlands)

    Glas, E.

    2012-01-01

    Using history of mathematics for studying concepts, methods, problems and other internal features of the discipline may give rise to a certain tension between descriptive adequacy and educational demands. Other than historians, educators are concerned with mathematics as a normatively defined

  8. Critical analysis of the policy practice of mathematics education in ...

    African Journals Online (AJOL)

    Ensuring a smooth mathematics education programme requires the formulation and implementation of appropriate instructional policies. This study is a survey of some practices of the instructional policies and their influence on mathematics education. Completed Basic School Annual Census (CBSAC) forms and ...

  9. Open Primary Education School Students' Opinions about Mathematics Television Programmes

    Science.gov (United States)

    Yenilmez, Kursat

    2008-01-01

    The purpose of this study was to determine open primary education school students' opinions about mathematics television programmes. This study indicated that to determine differences among open primary education school students' opinions about mathematics television programmes point of view students' characteristics like gender, age, grade,…

  10. Special Educators and Mathematics Phobia: An Initial Qualitative Investigation

    Science.gov (United States)

    Humphrey, Michael; Hourcade, Jack J.

    2010-01-01

    Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, because students in their caseloads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits…

  11. Research Commentary: The Promise of Qualitative Metasynthesis for Mathematics Education

    Science.gov (United States)

    Thunder, Kateri; Berry, Robert Q., III.

    2016-01-01

    Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our understanding of a…

  12. Crisis in mathematics education. Student failure: challenges and ...

    African Journals Online (AJOL)

    This article suggests that there is a similar crisis at the tertiary level where students are failing mathematics. For example, in UDW - this article is about WHY students are failing Mathematics Education one in the School of Educational Studies at the University of Durban-Westville. The article also provides a rationale of the ...

  13. Academic Self-Efficacy Beliefs of Undergraduate Mathematics Education Students

    Science.gov (United States)

    Turgut, Melih

    2013-01-01

    The present paper investigated academic self-efficacy beliefs of undergraduate mathematics education students with respect to gender, academic performance and grade level. The participants were a total of 244 undergraduate students (195 females and 49 males) enrolled to department of mathematics education (57 freshmen, 106 sophomores and 81…

  14. Praxeologies and Institutional Interactions in the Advanced Science Teacher Education

    DEFF Research Database (Denmark)

    Rasmussen, Klaus

    The present thesis consists of six papers that address three important aspects in mathematics and science teacher education: ‘Integrating two or more teaching disciplines’, ‘learning from practice’ and ‘interaction between institutions’. These aspects are studied in combination as they have...... merits. ‘Learning from practice’ is mainly dealt with in the setting of lesson study, a format which is gaining importance in the Danish educational community. Through lesson study in ASTE it is shown how a number of usual didactic tasks in mathematics teaching at Danish lower secondary schools...... unfolded in the context of developing and implementing a Danish education programme called the Advanced Science Teacher Education (ASTE), that aim to educate lower secondary school teachers, who among other things are to excel at interdisciplinarity. The essence of integrated teaching is elusive...

  15. Educational Borrowing and Mathematics Curriculum: Realistic Mathematics Education in the Dutch and Indonesian Primary Curriculum

    Directory of Open Access Journals (Sweden)

    Shintia Revina

    2018-02-01

    Full Text Available Since the late 1990s, Indonesian mathematics educators have considered Realistic Mathematics Education (RME, the Dutch approach to mathematics instruction, to be the basis for educational reform. In the National curriculum development, RME has, therefore, been reviewed as among the theoretical references to the curriculum goals and content. In the present study, an analysis of the consistency between RME and the curriculum descriptors and contents in Indonesia is presented. This is supplemented with some comparisons to that in the Netherlands. Findings in this study revealed that while most of RME principles are reflected in the Indonesian curriculum, the descriptions were often very general and less explicit compared to the Dutch curriculum. They were also limited by the content-based approach as well as by the centralized decision making process of the contents to be taught which have been pre-determined at the national level. This study suggests future research to see how the curriculum may influence teachers’ enactment of RME at classroom level.

  16. Mathematical knowledge for teaching: Making the tacit more explicit in mathematics teacher education

    Science.gov (United States)

    Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena

    2017-05-01

    Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.

  17. Mathematical modeling activity in Pre-service Teacher Education: A case of mathematical activity to discovery

    OpenAIRE

    Villa-Ochoa, Jhony; Córdoba, Francisco

    2013-01-01

    In Colombia, the mathematical training of students in primary and secondary school has, among other purposes, to recognize the cultural diversity, the need for greater equity levels and individuals able to be have a critic position facing the different social and democratic requirements; hence the mathematical modeling has gained ground as a way to meet these education purposes and, therefore, it is suggested as one of the processes the mathematics curriculum must articulate. Such realities r...

  18. A Discussion about American Mathematics Education from an Administrative Perspective

    Directory of Open Access Journals (Sweden)

    Wang Tao

    2017-01-01

    Full Text Available In this paper we reflect on the roles and responsibilities of academic leaders in encouraging faculty in mathematics departments to value contributions to mathematics teaching and learning. We discuss how academic leaders can and should use their perspective, position and influence to encourage productive dialogue between practitioners of mathematics and mathematics education; to use assessment of student learning as an opportunity to further this dialogue; and to value and reward work in mathematics teaching and learning in the hiring, evaluation, tenure, promotion, and merit processes.

  19. Leveling of Critical Thinking Abilities of Students of Mathematics Education in Mathematical Problem Solving

    Science.gov (United States)

    Rasiman

    2015-01-01

    This research aims to determine the leveling of critical thinking abilities of students of mathematics education in mathematical problem solving. It includes qualitative-explorative study that was conducted at University of PGRI Semarang. The generated data in the form of information obtained problem solving question and interview guides. The…

  20. Public Stories of Mathematics Educators: Challenges and Affordances of Learning Mathematics in a Second Language

    Science.gov (United States)

    Truxaw, Mary P.; Rojas, Eliana D.

    2014-01-01

    In this public story, we explore challenges and affordances of learning mathematics when the learner's primary language is not the primary language of instruction. We, the authors, are Mary Truxaw, a predominantly monolingual (English, with limited Spanish) mathematics educator and Eliana Rojas, a bilingual (Spanish and English)…

  1. Teaching mathematics in Indonesian primary schools : using ralistic mathematics education (RME)-approach

    NARCIS (Netherlands)

    Fauzan, Ahmad; Slettenhaar, Dick; Plomp, T.

    2002-01-01

    This paper presents a case study about employing Realistic Mathematics Education (RME)-approach to teach mathematics in Indonesian primary schools. Many obstacles, such as the very dependent attitude of the pupils, the pupils who were not used to working in groups, lack of reasoning capability and

  2. Mathematics Education Values Questionnaire for Turkish Preservice Mathematics Teachers: Design, Validation, and Results

    Science.gov (United States)

    Dede, Yuksel

    2011-01-01

    The purpose of this study was to develop a questionnaire that could measure preservice mathematics teachers' mathematics educational values. Development and validation of the questionnaire involved a sequential inquiry in which design principles were established from the existing literature and a pool of items was constructed then submitted to…

  3. Mathematics and Mathematics Education as Triadic Communication? A Semiotic Framework Exemplified

    Science.gov (United States)

    Ongstad, Sigmund

    2006-01-01

    The article investigates in the first part critically dyadic and essentialist understanding of signs and utterances in mathematics and mathematics education as opposed to a triadic view. However even Peircean semiotics, giving priority to triadic, dynamic sign may face challenges, such as explaining the sign as a pragmatic act and how signs are…

  4. The Relationship between Big Data and Mathematical Modeling: A Discussion in a Mathematical Education Scenario

    Science.gov (United States)

    Dalla Vecchia, Rodrigo

    2015-01-01

    This study discusses aspects of the association between Mathematical Modeling (MM) and Big Data in the scope of mathematical education. We present an example of an activity to discuss two ontological factors that involve MM. The first is linked to the modeling stages. The second involves the idea of pedagogical objectives. The main findings…

  5. Neuroscientific Studies of Mathematical Thinking and Learning: A Critical Look from a Mathematics Education Viewpoint

    Science.gov (United States)

    Verschaffel, Lieven; Lehtinen, Erno; Van Dooren, Wim

    2016-01-01

    In this commentary we take a critical look at the various studies being reported in this issue about the relationship between cognitive neuroscience and mathematics, from a mathematics education viewpoint. After a discussion of the individual contributions, which we have grouped into three categories--namely neuroscientific studies of (a)…

  6. MATHEMATICS EDUCATION IN SINGAPORE - AN INSIDER’S PERSPECTIVE

    Directory of Open Access Journals (Sweden)

    Berinderjeet Kaur

    2014-01-01

    Full Text Available Singapore’s Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore during the same period. The curriculum, teachers, leaners and the learning environment may be said to contribute towards Singapore’s performance in international benchmark studies such as TIMSS and PISA.Keywords: Mathematics Education, Singapore, Differentiated Curriculum, TIMSS, PISA DOI: http://dx.doi.org/10.22342/jme.5.1.1444.1-16

  7. Creating opportunities to learn in mathematics education: a sociocultural perspective

    Science.gov (United States)

    Goos, Merrilyn

    2014-09-01

    The notion of `opportunities to learn in mathematics education' is open to interpretation from multiple theoretical perspectives, where the focus may be on cognitive, social or affective dimensions of learning, curriculum and assessment design, issues of equity and access, or the broad policy and political contexts of learning and teaching. In this paper, I conceptualise opportunities to learn from a sociocultural perspective. Beginning with my own research on the learning of students and teachers of mathematics, I sketch out two theoretical frameworks for understanding this learning. One framework extends Valsiner's zone theory of child development, and the other draws on Wenger's ideas about communities of practice. My aim is then to suggest how these two frameworks might help us understand the learning of others who have an interest in mathematics education, such as mathematics teacher educator-researchers and mathematicians. In doing so, I attempt to move towards a synthesis of ideas to inform mathematics education research and development.

  8. How Syntactic Reasoners Can Develop Understanding, Evaluate Conjectures, and Generate Counterexamples in Advanced Mathematics

    Science.gov (United States)

    Weber, Keith

    2009-01-01

    This paper presents a case study of a highly successful student whose exploration of an advanced mathematical concept relies predominantly on syntactic reasoning, such as developing formal representations of mathematical ideas and making logical deductions. This student is observed as he learns a new mathematical concept and then completes…

  9. Restructuring STM (Science, Technology, and Mathematics) Education for Entrepreneurship

    Science.gov (United States)

    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…

  10. The Ethnographic Research Tradition and Mathematics Education Research.

    Science.gov (United States)

    Eisenhart, Margaret A.

    1988-01-01

    Argues that, though ethnography is a powerful methodology, it has rarely been used by educational researchers. Describes the research tradition of ethnography, compares ethnography with more common educational research practices, and discusses advantages of improved commuication for both mathematics education and educational anthrpology. (PK)

  11. Mathematical Models for the Education Sector, A Survey. (Les Modeles Mathematiques du Sector Enseignement.) Technical Report.

    Science.gov (United States)

    Organisation for Economic Cooperation and Development, Paris (France).

    The purposes of this volume are to report a survey of current practice in the construction and use of mathematical models for the education sector: to identify the most important technical and substantive problems confronting the model-building effort; and to bridge the gap between the advancing research pursuit of model-building and the lagging…

  12. Mathematics in Mind, Brain, and Education: A Neo-Piagetian Approach

    Science.gov (United States)

    Norton, Anderson; Deater-Deckard, Kirby

    2014-01-01

    Because of their focus on psychological structures and operations, neo-Piagetian approaches to learning lend themselves to neurological hypotheses. Recent advances in neural imaging and educational technology now make it possible to test some of these claims. Here, we take a neo-Piagetian approach to mathematical learning in order to frame two…

  13. Multilingualism in indigenous mathematics education: an epistemic matter

    Science.gov (United States)

    Parra, Aldo; Trinick, Tony

    2017-12-01

    An investigation into an aspect of indigenous education provides the opportunity to forefront an epistemological discussion about mathematical knowledge. This paper analyses indigenous peoples' educational experiences in Colombia and Aotearoa/New Zealand of mathematics education, focusing on, among other things, sociolinguistic issues such as language planning. In these experiences, researchers, teachers and local communities, working together, elaborated their respective languages to create a corpus of lexicon that has enabled the teaching of Western mathematics. An analysis using decolonial theory is made, showing how this corpus development works to enable the teaching of [Western] mathematics resulted in investigations into culture, language and mathematics that revealed an interplay among knowledge and power. Such analysis raises issues about the epistemology of mathematics and the politics of knowledge, analogous with current discussions on multilingualism in mathematics education and in ethnomathematics. The paper concludes that mathematics educators can explore and take advantage of the sociolinguistic and epistemological issues that arise when an indigenous language is elaborated in a short period of time in comparison to other languages which have been developed incrementally over hundreds of years and thus much more difficult to critique.

  14. A Cross-National Comparison of Reported Effort and Mathematics Performance in TIMSS Advanced

    Science.gov (United States)

    Eklöf, Hanna; Pavešic, Barbara Japelj; Grønmo, Liv Sissel

    2014-01-01

    The purpose of the study was to measure students' reported test-taking effort and the relationship between reported effort and performance on the Trends in International Mathematics and Science Study (TIMSS) Advanced mathematics test. This was done in three countries participating in TIMSS Advanced 2008 (Sweden, Norway, and Slovenia), and the…

  15. How anthropology can contribute to mathematics education

    Directory of Open Access Journals (Sweden)

    Karen François

    2013-03-01

    Full Text Available This paper starts from two statements based on a literature review. The first one concerns the learning process and states that learning is situated and socioculturally contextualized. Learning happens in the space of the background and the foreground of the learner in his or her particular environment of experience. This statement is based on the Vygotsky and the Cultural psychology approach (Cole, 1996 and on the work of Vithal & Skovsmose (1997.The second statement concerns the deficient theory of the learning process (instead of the deficiently of the learner. Based on the international comparative research on mathematical skills we claim that the drop out of school of many groups of children (OECD, 2010 has to do with the insufficient learning system at school that fail to fit with the daily background knowledge of the children.In the final part of the paper we will present three different ethnomathematical cases based on the educational practices that the authors developed in recent years.

  16. How anthropology can contribute to mathematics education

    Directory of Open Access Journals (Sweden)

    Karen François

    2013-01-01

    Full Text Available This paper starts from two statements based on a literature review. The first one concerns the learning process and states that learning is situated and socioculturally contextualized. Learning happens in the space of the background and the foreground of the learner in his or her particular environment of experience. This statement is based on the Vygotsky and the Cultural psychology approach (Cole, 1996 and on the work of Vithal & Skovsmose (1997. The second statement concerns the deficient theory of the learning process (instead of the deficiently of the learner. Based on the international comparative research on mathematical skills we claim that the drop out of school of many groups of children (OECD, 2010 has to do with the insufficient learning system at school that fail to fit with the daily background knowledge of the children. In the final part of the paper we will present three different ethnomathematical cases based on the educational practices that the authors developed in recent years.

  17. Effects of mathematical game and instructional analogy as advance ...

    African Journals Online (AJOL)

    The study investigated the effects of mathematical game and instructional analogy on students' achievement in junior secondary school mathematics. A total of 246 Junior Secondary Two (JS2) Mathematics students were involved in the study. A 3×2 factorial design was adopted in the research. From the findings, it was ...

  18. The Pythagorean Proposition, Classics in Mathematics Education Series.

    Science.gov (United States)

    Loomis, Elisha Scott

    This book is a reissue of the second edition which appeared in 1940. It has the distinction of being the first vintage mathematical work published in the NCTM series "Classics in Mathematics Education." The text includes a biography of Pythagoras and an account of historical data pertaining to his proposition. The remainder of the book shows 370…

  19. Investigations in Mathematics Education, Vol. 15, No. 1.

    Science.gov (United States)

    Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed.

    1982-01-01

    Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

  20. In Defense of Mathematics and Its Place in Anarchist Education

    Science.gov (United States)

    Wolfmeyer, Mark

    2012-01-01

    This article reclaims mathematics from the measures of profit and control by first presenting an anarchist analysis of mathematics' status quo societal uses and pedagogic activities. From this analysis, a vision for an anarchist math education is developed, as well as suggestions for how government school practitioners sympathetic to anarchism can…

  1. Teachers' Attitudes towards Mathematics in Early Childhood Education

    Science.gov (United States)

    Thiel, Oliver

    2010-01-01

    In Germany during the past few years the nursery school (for ages three-six) is increasingly regarded as an educational institution rather than a childcare centre. This is reflected in the increasing number of curricula for young children, which include mathematics as a domain of learning skills. In the past mathematics has not been part of the…

  2. Mathematics as Liberal Education: Whitehead and the Rhythm of Life

    Science.gov (United States)

    Woodhouse, Howard

    2012-01-01

    In several of his works, Alfred North Whitehead (1861-1947) presents mathematics as a way of learning about general ideas that increase our understanding of the universe. The danger is that students get bogged down in its technical operations. He argues that mathematics should be an integral part of a new kind of liberal education, incorporating…

  3. "Whys" and "Hows" of Using Philosophy in Mathematics Education

    Science.gov (United States)

    Jankvist, Uffe Thomas; Iversen, Steffen Møllegaard

    2014-01-01

    The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so-the so-called "whys" and "hows". More precisely, the "whys" are divided into the two categories of "philosophy as…

  4. Social justice and mathematics education in Ghana | Fletcher ...

    African Journals Online (AJOL)

    This paper assesses the extent to which social justice theories can be used to explain the causes of inequalities in mathematics education in Ghana and explores ways in which issues arising from such inequalities can be addressed. The paper traces the habitus that operates in the Ghanaian mathematics classroom and ...

  5. A Study of Goals of Mathematics Education in Africa.

    Science.gov (United States)

    Eshiwani, George S.

    This study concerns the goals of school mathematics in the curricula of African schools. Concerns about the state of mathematics education are noted: not only is achievement declining, but also there has been (1) a student population explosion, so that goals formulated two decades ago are no longer applicable, and (2) rapid growth of informatics…

  6. Persuasive Pedagogy: A New Paradigm for Mathematics Education

    Science.gov (United States)

    Hennessey, Maeghan N.; Higley, Kelli; Chesnut, Steven R.

    2012-01-01

    Mathematics teachers face a myriad of instructional obstacles. Since the early 1990s, mathematics education researchers have proposed the use of constructivist practices to counteract these ever-prevalent obstacles. While we do give credit to the choices of instructional activities the constructivist paradigm promotes, there are problems with its…

  7. Theory-practice Dichotomy in Mathematics Teacher Education: An ...

    African Journals Online (AJOL)

    Theory-practice Dichotomy in Mathematics Teacher Education: An Analysis of Practicum Supervision Practices at One Teacher Training College in Zimbabwe. ... study which investigated the extent to which mathematics practicum experiences at one teachers' college in Zimbabwe were coordinated with methods courses.

  8. Proposing a Mathematical Software Tool in Physics Secondary Education

    Science.gov (United States)

    Baltzis, Konstantinos B.

    2009-01-01

    MathCad® is a very popular software tool for mathematical and statistical analysis in science and engineering. Its low cost, ease of use, extensive function library, and worksheet-like user interface distinguish it among other commercial packages. Its features are also well suited to educational process. The use of natural mathematical notation…

  9. Analyzing Tasks to Promote Equity in Secondary Mathematics Teacher Education

    Science.gov (United States)

    Mintos, Alexia

    2017-01-01

    The purpose of this study is to understand characteristics and outcomes of instructional tasks used to support preservice secondary mathematics teachers (PSMTs) in learning about equity in secondary mathematics methods courses. This study focuses on five instructional tasks from four purposefully chosen teacher education programs. These activities…

  10. Florida Preservice Agricultural Education Teachers' Mathematics Ability and Efficacy

    Science.gov (United States)

    Stripling, Christopher T.; Roberts, T. Grady

    2012-01-01

    The purpose of this study was to examine the mathematics ability and efficacy of Florida preservice agricultural education teachers. Results indicated that the preservice teachers were not proficient in solving agricultural mathematics problems. On the other hand, the preservice teachers were efficacious in personal teaching efficacy and personal…

  11. Regaining the Edge in Urban Education: Mathematics and Sciences.

    Science.gov (United States)

    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…

  12. Population Education in Mathematics: Some Sample Lessons.

    Science.gov (United States)

    United Nations Educational, Scientific, and Cultural Organization, Bangkok (Thailand). Regional Office for Education in Asia and Oceania.

    This mathematics teacher's manual contains ten sample lessons on population growth and demography that were adapted from materials produced in several countries in Asia and Oceania. Among the mathematics concepts and skills students apply during these lessons are set theory, cardinal and ordinal numbers, frequency tallies, percentages, ratios,…

  13. Contributions of neurscience to mathematical education of one people with intellective special educational needs

    Directory of Open Access Journals (Sweden)

    Tania Elisa Seibert

    2014-04-01

    Full Text Available This article presents a framework from a qualitative research, which is a case study, conducted with a student who has Spina Bifida, implementing an individualized electronic didactic sequence, which has as its central objective to qualify his autonomy in mathematics. The investigated student was 14 years old and attended the 7th grade of elementary school in 2012. The guiding question of this research was: can a person with a mild level of Intellective Special Educational Needs overcome cognitive difficulties in Mathematics involving an electronic didactic sequence? We emphasize the importance of neuroscience advances in educational process of people with Intellective Special Educational Needs, the multimodality of stimuli offered by Information and Communication Technology and the frameworks from the experiment results carried out between 2010 and 2012, with weekly meetings between researchers and the student, which indicate an evolution related to mathematical concepts such as cardinality, ordinality, place value, additive structure, comprehension of units of time, Brazilian monetary system and resolution of problems involving these concepts, especially those related to the additive field.

  14. Copper Oxide Nanoparticles for Advanced Refrigerant Thermophysical Properties: Mathematical Modeling

    Directory of Open Access Journals (Sweden)

    S. A. Fadhilah

    2014-01-01

    Full Text Available In modern days, refrigeration systems are important for industrial and domestic applications. The systems consume more electricity as compared to other appliances. The refrigeration systems have been investigated thoroughly in many ways to reduce the energy consumption. Hence, nanorefrigerant which is one kind of nanofluids has been introduced as a superior properties refrigerant that increased the heat transfer rate in the refrigeration system. Many types of materials could be used as the nanoparticles to be suspended into the conventional refrigerants. In this study, the effect of the suspended copper oxide (CuO nanoparticles into the 1,1,1,2-tetrafluoroethane, R-134a is investigated by using mathematical modeling. The investigation includes the thermal conductivity, dynamic viscosity, and heat transfer rate of the nanorefrigerant in a tube of evaporator. The results show enhanced thermophysical properties of nanorefrigerant compared to the conventional refrigerant. These advanced thermophysical properties increased the heat transfer rate in the tube. The nanorefrigerant could be a potential working fluid to be used in the refrigeration system to increase the heat transfer characteristics and save the energy usage.

  15. Mathematical Education of Engineers, Part I. A Critical Appraisal

    Science.gov (United States)

    Bajpai, A. C.; And Others

    1975-01-01

    After critically analyzing the mathematics education of engineering students, the author proposes a new approach which meets some of his objections to current practices. The article is to be continued in a later issue. (SD)

  16. Students with ‘Special Rights' for mathematics education

    DEFF Research Database (Denmark)

    Lindenskov, Lena; Gervasoni, Ann

    2011-01-01

    The issues of equity and quality have been central to international debates on mathematics in research, policy, curriculum and teaching. This book covers a wide variety of topics in the research and practice of mathematics education, demonstrating how equity and quality are inherently political...... equity and quality within various educational contexts and with a variety of marginalized populations. Written by teachers, researchers and academics from all over the world, this book represents a powerful response to the international call for quality education of all students in mathematics around...... terms whose political bedrock is obscured by them being taken for granted. Mapping Equity and Quality in Mathematics Education is broken into four parts. Section 1 addresses the constructs of equity and quality from a variety of theoretical perspectives and outlines new directions to approach...

  17. Videogames as an incipient research object inMathematics Education

    Directory of Open Access Journals (Sweden)

    Lluís Albarracín

    2017-01-01

    Full Text Available This article presents a review of research made in the field of mathematics education on the use of video games in the classroom. These investigations have focused on four areas: impact in academic performance focused on mathematical contents, specific mathematical contents learning, videogame design elements for mathematical learning and relation bet-ween videogames and problem solving.  Finally,  we  propose  two  research  new  approaches that  have  not  been  explored  so  far,  like  the  use  of  commercial  videogames  for  mathematical  activities  or  the  use  of  simulation  games  as  environment  to  promote  mathematical modeling.

  18. New directions for situated cognition in mathematics education

    CERN Document Server

    Winbourne, Peter; Winbourne, Peter

    2008-01-01

    This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research. It is appropriate to review the field now and collect a range of papers which all relate to situated cognition and show how its application to mathematics education has matured and become usefully embedded in our approach to central issues about learning mathematics.

  19. Mathematical Inqu[ee]ry: Beyond "Add-Queers-and-Stir" Elementary Mathematics Education

    Science.gov (United States)

    Rands, Kathleen

    2009-01-01

    While elementary educators have developed queer pedagogies and perspectives in many subjects from reading to music, science to English as a second language, queer perspectives on elementary mathematics education are remarkably absent. This article differentiates between two common uses of the term "queer" and delineates two sets of approaches…

  20. Analysing the implemented curriculum of mathematics in preschool education

    Science.gov (United States)

    Zacharos, Konstantinos; Koustourakis, Gerasimos; Papadimitriou, Konstantina

    2014-06-01

    The purpose of this paper is to contribute to development of research tools for observation and analysis of educational practices used by teachers in preschool classrooms. More specifically, we approached the implemented curriculum of mathematics in Greek preschool education. We analysed the recorded data from a week of teaching practices in eight classrooms of Greek public kindergartens, based on Bernstein's theoretical framework on pedagogic discourse. The results showed that the actual educational practices in the observed classrooms deviated from the objectives of the official new cross-thematic curriculum for teaching mathematics in Greek kindergarten in terms of the form of transmitted mathematical knowledge, the instructional rules and strategies that teachers adopted for teaching mathematics, and the teaching-interactive relationships between preschool teachers and students.

  1. Mathematics Education in Singapore – An Insider’s Perspective

    Directory of Open Access Journals (Sweden)

    Berinderjeet Kaur

    2014-07-01

    Full Text Available Singapore’s Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012 that have shaped the present School Mathematics Curricula in Singapore are direct consequences of developments in the Education System of Singapore during the same period. The curriculum, teachers, leaners and the learning environment may be said to contribute towards Singapore’s performance in international benchmark studies such as TIMSS and PISA.

  2. Advanced Mathematics Communication beyond Modality of Sight

    Science.gov (United States)

    Sedaghatjou, Mina

    2018-01-01

    This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…

  3. Advanced Education Business Plan 2005-2008

    Science.gov (United States)

    Alberta Advanced Education, 2005

    2005-01-01

    In collaboration with learning providers, the advanced education system, industry, communities, government agencies and non-governmental organizations, Advanced Education strives to create accessible, affordable and quality learning opportunities that are responsive to the ongoing learning needs of Albertans. The Ministry's 2005-08 Business Plan…

  4. Psychological effects and epistemological education through mathematics "abstraction" and "construction"

    Directory of Open Access Journals (Sweden)

    Aurel Pera

    2015-10-01

    Full Text Available This study is part of a broader research which will be found in future work, Psychology and epistemology of mathematical creation, complementary work of experimental research psychology mathematics, whose investigative approach, promoting the combination type cross section paradigms and quantitative methods and qualitative and comparative method and the analytic-synthetic, based on the following idea: to make learning as efficient, contents and methods must be appropriate to the individual particularities of the pupils, a measure of the balance between converging and diverging dosing tasks as a promising opening to the transition from education proficiency in math performance. At this juncture, mathematical existence as ontological approach against the background of a history of "abstraction" mathematical and theoretical observations on the abstraction, realization and other mathematical thought processes, explanatory approach fulfills the context in which s mathematics constituted an important factor in psychological and methodological perspective, in a context of maximizing the educational effectiveness that depends on the quality of the methods used in teaching, focused on knowledge of the general principles of psycho-didactics not only mathematical and mental organization individual student or knowledge of the factors that make possible psycho-educational learning process.

  5. An institutional approach to university mathematics education:

    DEFF Research Database (Denmark)

    Winsløw, Carl; Barquero, Berta; De Vleeschouwer, Martine

    2014-01-01

    ) – in which this rough definition can be made much more precise; we also outline some cases of ATD-based research on UME. Three cases are presented in more detail. The first is a theoretical and empirical study of the topic of dual vector spaces, as it appears in undergraduate courses on linear algebra....... The second case concerns a similar study of the practices and theories on limits of functions which students may develop in calculus courses. Finally, a third study illustrates the use of ATD to design and experiment innovative approaches to mathematical modelling in the setting of a first mathematics course...

  6. Pursuing excellence in mathematics education essays in honor of Jeremy Kilpatrick

    CERN Document Server

    Silver, Edward

    2014-01-01

    ​Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.​.

  7. An interdisciplinary collaboration between computer engineering and mathematics/bilingual education to develop a curriculum for underrepresented middle school students

    Science.gov (United States)

    Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel

    2013-12-01

    There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to address this need. We describe our work through the Advancing Out-of-School Learning in Mathematics and Engineering project by illustrating how an integrated curriculum that is based on mathematics with applications in image and video processing can be designed and how it can be implemented with middle school students from underrepresented groups.

  8. Mathematics Dispositions of Secondary School Students with Special Educational Needs

    Science.gov (United States)

    Kalambouka, Afroditi; Pampaka, Maria; Omuvwie, Michael; Wo, Lawrence

    2016-01-01

    The aim of this paper was to shed more light on the attitudes and dispositions to mathematics education of secondary school students with special educational needs (SEN) in mainstream schools. The data were collected as part of a larger project in England which looked at the relationship between students' learning outcomes (including dispositions)…

  9. Analysing the Implemented Curriculum of Mathematics in Preschool Education

    Science.gov (United States)

    Zacharos, Konstantinos; Koustourakis, Gerasimos; Papadimitriou, Konstantina

    2014-01-01

    The purpose of this paper is to contribute to development of research tools for observation and analysis of educational practices used by teachers in preschool classrooms. More specifically, we approached the implemented curriculum of mathematics in Greek preschool education. We analysed the recorded data from a week of teaching practices in eight…

  10. ICT Integration Level of Mathematics Tutors of Colleges of Education ...

    African Journals Online (AJOL)

    ICT Integration Level of Mathematics Tutors of Colleges of Education in Ghana. ... International Journal of Pedagogy, Policy and ICT in Education ... The study used a developmental research design which is a disciplined inquiry conducted in the context of the development of a product or programme for the purpose of ...

  11. Trends in Turkish Mathematics Education Research: From 1998 to 2007

    Science.gov (United States)

    Baki, Adnan; Guven, Bulent; Karatas, Ilhan; Akkan, Yasar; Cakiroglu, Unal

    2011-01-01

    The aim of the study is to determine trends in Turkish Mathematics Education on the basis of both master and doctoral theses involved. The researchers reviewed the online databases of the Higher Education Council and Proquest as well as the library of each university and examined 284 graduate theses in regard to research topic, research methods,…

  12. Aspects of Theories, Frameworks and Paradigms in Mathematics Education Research

    Science.gov (United States)

    Stoilescu, Dorian

    2016-01-01

    This article discusses major theoretical debates and paradigms from the last decades in general education and their specific influences in mathematics education contexts. Behaviourism, cognitive science, constructivism, situated cognition, critical theory, place-based learning, postmodernism and poststructuralism and their significant aspects in…

  13. The Place of Calculators in Mathematics Education in Developing Countries

    Science.gov (United States)

    Kissane, Barry; Kemp, Marian

    2012-01-01

    Technology has become a major force in developing curricula and educational practice in mathematics education internationally. While many technologies are important in affluent developed countries, the hand-held calculator continues to be the technology most likely to be available to students when and where they need it. Modern calculators have…

  14. Five Affordances of Computational Thinking to Support Elementary Mathematics Education

    Science.gov (United States)

    Gadanidis, George

    2017-01-01

    With the increased focus on computational thinking (CT) in education, it is important to investigate the affordances that CT may offer to support teaching and learning. This paper outlines five affordances of CT that may support elementary mathematics education, whose conceptualization was refined in a year-long study involving eight Grades 3-4…

  15. An Alternative to Piagetian Psychology for Science and Mathematics Education

    Science.gov (United States)

    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)

  16. History, Applications, and Philosophy in Mathematics Education

    DEFF Research Database (Denmark)

    Jankvist, Uffe Thomas

    2013-01-01

    and the mathematical cases of these, graph theory and Boolean algebra, are described. Excerpts of student groups' essays from actual implementations of these modules are displayed as illustrative examples of the possible effect such HAPh-modules may have on students' development of an awareness regarding history...

  17. Improving classroom assessment in primary mathematics education

    NARCIS (Netherlands)

    Veldhuis, M.

    2015-01-01

    The main goal of this PhD research was to provide insight into primary school teachers’ classroom assessment practice in mathematics in the Netherlands. Classroom assessment is assessment that teachers can use to get access to their students’ skills and understanding, in an effort to tailor their

  18. Origins of the brain networks for advanced mathematics in expert mathematicians.

    Science.gov (United States)

    Amalric, Marie; Dehaene, Stanislas

    2016-05-03

    The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.

  19. Informal Content and Student Note-Taking in Advanced Mathematics Classes

    Science.gov (United States)

    Fukawa-Connelly, Timothy; Weber, Keith; Mejía-Ramos, Juan Pablo

    2017-01-01

    This study investigates 3 hypotheses about proof-based mathematics instruction: (a) that lectures include informal content (ways of thinking and reasoning about advanced mathematics that are not captured by formal symbolic statements), (b) that informal content is usually presented orally but not written on the board, and (c) that students do not…

  20. Gender Differences in the Use and Benefit of Advanced Learning Technologies for Mathematics

    Science.gov (United States)

    Arroyo, Ivon; Burleson, Winslow; Tai, Minghui; Muldner, Kasia; Woolf, Beverly Park

    2013-01-01

    We provide evidence of persistent gender effects for students using advanced adaptive technology while learning mathematics. This technology improves each gender's learning and affective predispositions toward mathematics, but specific features in the software help either female or male students. Gender differences were seen in the students' style…

  1. Epistemological bases OF THE RELATIONSHIP between culture and mathematics education

    Directory of Open Access Journals (Sweden)

    Neivaldo Oliveira Silva

    2011-06-01

    Full Text Available Our main intention with this theoretical construct is to understand the mathematics education embedded in the social context to which it belongs and where different groups are present with their beliefs, knowledge, practices that, in turn, are the result of a historical process, in which changes occur and affect most of the different fields ofIcnowledge.In the theoretical construction, we start from a more general picture of the world and society, focusing on the historical and social changes and, at the same time, in changes in the scope of mathematical knowledge. We do this through a historical analysis and, along the way, we seek to understand culture, Mathematics and Mathematics Education, as fields or dimensions present in this broader context of historical changes, and seek to establish relationships between thesefields or areas of knowledge, in the context of their productions. ln seeking to understand "culture", we try not to lose sight of the social dynamics that are established in the contacts between different groups, each with characteristics that involve traditions, artistic manifestations, culinary language, but surrounded by a society that results from a globalization process getting stronger. It is in this broader context that we seek to understand mathematics, as a field of knowledge, making an analysis that goes from its origin as well as its implications with reality and society, so that to the end, we present and discuss the Ethnomathematics as a possible alternative to do or to understand the articulation pointed out. Finally, we extend the discussion to understand the mathematics education, in view of its social integration, and the socialization perspective of the mathematical knowledge. We realized that mathematics education, seen as a field of knowledge and considering the need for socialization of this knowledge, is also the result of practices developed and a comprehensive process of change that has been occurring in

  2. International Conference on Research and Education in Mathematics

    CERN Document Server

    Srivastava, Hari; Mursaleen, M; Majid, Zanariah

    2016-01-01

    This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences.

  3. The theory of Realistic Mathematics Education as a theoretical framework for teaching low attainers in mathematics

    Directory of Open Access Journals (Sweden)

    Hayley Barnes

    2005-10-01

    Full Text Available This article recounts the process embarked on and reasons for selecting the theory of Realistic Mathematics Education (RME as the theoretical framework in a study carried out with low attaining learners. In the study an intervention for low attaining grade 8 mathematics learners was implemented in an attempt to improve the understanding of the participants with regard to place value, fractions and decimals, and to identify characteristics of this type of intervention and potential design principles that could be applied in similar interventions. In this article, the theoretical framework for the intervention is discussed and theoretical (rather than empirical reasons for selecting the theory of Realistic Mathematics Education (RME for use with low attainers are put forward. From a literature review that looked at the teaching and learning of mathematics to learners who fall into the category of performing below the required standard, five common aspects emerged. Once these aspects had been identified, a theory in mathematics education was sought that encompassed these five aspects. The theory of RME was subsequently selected as the theoretical framework to drive the design and implementation of the intervention and is being suggested as a possible way forward for working with low attaining learners.

  4. PREFACE: International Conference on Advancement in Science and Technology 2012 (iCAST): Contemporary Mathematics, Mathematical Physics and their Applications

    Science.gov (United States)

    Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Hee, Pah Chin

    2013-04-01

    The 4th International Conference on the Advancement of Science and Technology 2012 (iCAST 2012), with theme 'Contemporary Mathematics, Mathematical Physics and their Applications', took place in Kuantan, Malaysia, from Wednesday 7 to Friday 9 November 2012. The conference was attended by more than 100 participants, and hosted about 160 oral and poster papers by more than 140 pre-registered authors. The key topics of the 4th iCAST 2012 include Pure Mathematics, Applied Mathematics, Theoretical/Mathematical Physics, Dynamical Systems, Statistics and Financial Mathematics. The scientific program was rather full since after the Keynote and Invited Talks in the morning, four parallel sessions ran every day. However, according to all attendees, the program was excellent with a high level of talks and the scientific environment was fruitful; thus all attendees had a creative time. The conference aimed to promote the knowledge and development of high-quality research in mathematical fields concerned with the application of other scientific fields as well as modern technological trends in physics, chemistry, biology, medicine, economics, sociology and environmental sciences. We would like to thank the Keynote and the Invited Speakers for their significant contributions to 4th iCAST 2012. We would also like to thank the members of the International Scientific Committee and the members of the Organizing Committee. We cannot end without expressing our many thanks to International Islamic University Malaysia and our sponsors for their financial support . This volume presents selected papers which have been peer-reviewed. The editors hope that it may be useful and fruitful for scholars, researchers, and advanced technical members of the industrial laboratory facilities for developing new tools and products. Guest Editors Nasir Ganikhodjaev, Farrukh Mukhamedov and Pah Chin Hee The PDF contains the committee lists, board list and biographies of the plenary speakers.

  5. Similarity and Equality in Greek Mathematics: Semiotics, History of Mathematics, and Mathematics Education

    Science.gov (United States)

    Fried, Michael N.

    2009-01-01

    The first goal of this article to show the profound difference between how equality and similarity are understood in Greek geometry and how they are presented in modern mathematics classes. It highlights that the formula "equal-and-similar" reflects the distinct character of "equal" and "similar" as signs in Greek…

  6. University Mathematics Education, Competencies and the Fighting of Syllabusitis

    DEFF Research Database (Denmark)

    Højgaard, Tomas

    2016-01-01

    Syllabusitis is a name for a disease that consists of identifying the mastering of a subject with proficiency related to a syllabus. In this paper I argue that using a set of mathematical competencies as the hub of mathematics education can be a means to fight syllabusitis. The introduction...... and thorough exemplification of this idea was the main outcome of the Danish KOM project. Furthermore, a two-dimensional structuring of the relation between subject specific competencies and subject matter was suggested. As the analytic core of this paper I argue that such a two-dimensional structure has...... proven to be a crucial element when attempting to put the competency idea into educational practice, and exemplify how that can be done when it comes to mathematics education at university level....

  7. An intentionality-interpretation of meaning in mathematics education

    DEFF Research Database (Denmark)

    Skovsmose, Ole

    2015-01-01

    of meaning in mathematics education. The importance of intentionality for understanding human phenomena was emphasised by both Brentano and Husserl. They associated intentionality with a pure stream of consciousness, which constitutes an a priori to any human experience. I agree that the notion...... of intentionality is important; however, I find it crucial to provide a paradigmatic uprooting of this notion and to consider it as being structured by economic, political, cultural, and discursive factors. Such real-life intentionalities constitute the basis for an intentionality interpretation of meaning. I...... explore this interpretation with respect to mathematics education by addressing imaginations, possibilities, obstructions, hopes, fears, stereotypes and preconceptions. I relate meaning in mathematics education to far away horizons of students’ life worlds, to negotiations, to political issues...

  8. Problem Posing with Realistic Mathematics Education Approach in Geometry Learning

    Science.gov (United States)

    Mahendra, R.; Slamet, I.; Budiyono

    2017-09-01

    One of the difficulties of students in the learning of geometry is on the subject of plane that requires students to understand the abstract matter. The aim of this research is to determine the effect of Problem Posing learning model with Realistic Mathematics Education Approach in geometry learning. This quasi experimental research was conducted in one of the junior high schools in Karanganyar, Indonesia. The sample was taken using stratified cluster random sampling technique. The results of this research indicate that the model of Problem Posing learning with Realistic Mathematics Education Approach can improve students’ conceptual understanding significantly in geometry learning especially on plane topics. It is because students on the application of Problem Posing with Realistic Mathematics Education Approach are become to be active in constructing their knowledge, proposing, and problem solving in realistic, so it easier for students to understand concepts and solve the problems. Therefore, the model of Problem Posing learning with Realistic Mathematics Education Approach is appropriately applied in mathematics learning especially on geometry material. Furthermore, the impact can improve student achievement.

  9. Explaining the Mathematical Creativity of a Young Boy: An Interdisciplinary Venture between Mathematics Education and Psychoanalysis

    Science.gov (United States)

    Krummheuer, Götz; Leuzinger-Bohleber, Marianne; Müller-Kirchof, Marion; Münz, Melanie; Vogel, Rose

    2013-01-01

    First results of the project "Mathematical Creativity of Children at Risk" (MaKreKi) will be presented. The project is conducted in the interdisciplinary research center "Individual Development and Adaptive Education of Children at Risk" (IDeA [http://www.idea-frankfurt.eu; accessed 7 June 2013]). Combining a…

  10. 5th Conference on Advanced Mathematical and Computational Tools in Metrology

    CERN Document Server

    Cox, M G; Filipe, E; Pavese, F; Richter, D

    2001-01-01

    Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as on better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, will benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people

  11. The working out of architectural concept for a new type public building — multi-information and education center by using information technologies and mathematical models

    Directory of Open Access Journals (Sweden)

    Михаил Владимирович Боровиков

    2012-12-01

    Full Text Available Architectural concept of multifunctional information and educational center and its implementation is given in the author's project. Advanced information technology and mathematical models used in the development of the author project.

  12. Implementing a 'European' appoach to mathematics education in Indonesia through teacher education

    NARCIS (Netherlands)

    Zulkardi, Z.; Nieveen, N.M.; van den Akker, Jan; de Lange, Jan

    2002-01-01

    This paper reports on the results of a four-year study called CASCADE-IMEI that is a learning environment (LE) in the form of a face-to-face course and a web site (www.clix.to/zulkardi ) which aims to introduce Realistic Mathematics Education (RME), Dutch approach to mathematics education, as an

  13. Study on Teaching Strategies in Mathematics Education based on CAI

    Directory of Open Access Journals (Sweden)

    Wei Yan Feng

    2016-01-01

    Full Text Available With the development of information technology and the popularization of internet, mobile phone, new media represented is gradually influencing and changing people’s study and life, become the centre and social consensus of cultural information, according to the China Internet Network Information centre, the youth is the main use of CAI(Computer Assisted Instruction, which is the most active group of customers, fully understand the impact of the new media environment for students, higher mathematics education of college students in CAI. In this paper, the CAI is proposed for mathematics education of college students.

  14. Analysis of Mathematics Literacy of Students of Mathematics Education Department Viewed from Process Components

    Directory of Open Access Journals (Sweden)

    Rusmining Rusmining

    2017-11-01

    Full Text Available The PISA study measures the mathematical literacy of reasoning, arguing, and problem-solving skills. The research question is how the ability of mathematics literacy of mathematics education students viewed from process components. This research uses qualitative approach using documentation, observation, and interview. The results showed that 60 students or 100% were below level 1, with a score of less than 358. In the process component, communication skills obtained an average score of 3.29. Mathematising got an average score of 2.71. Representation got an average score of 3.08. Reasoning and argument got an average score of 2.54. Devising strategies for solving problems got an average score of 2.83. Using symbolic, formal and technical language and operation earned an average score of 3.16. Ability to use mathematics tools get an average score of 3.16. Based on the results of the study concluded that the literacy ability of mathematics education students viewed from the components of the process is very low.

  15. EDUCATION AND NATIONAL SECURITY: SYSTEM DEFICIENCIES OF MATHEMATICAL EDUCATION IN RUSSIA AND THE USA

    Directory of Open Access Journals (Sweden)

    M. A. Choshanov

    2013-01-01

    Full Text Available The paper looks at the mathematical education in Russian schools regarded not long ago as fundamental and based on developing students' mental abilities. However, the analysis of the Trends in International Mathematics and Science Study (TIMSS 2011 demonstrates the non-consistent results in mathematical achievements of young Russians over the last fifteen years referring to the decreasing rate of successfully solved high level problems. The author disapproves of mechanical duplication of any foreign experience contradicting the Russian realities. Meanwhile, a lot of people in the USA and elsewhere abroad realize that national security is closely related to the human capital, which directly depends on education. The publication considers the limitations of mathematical education both in Russia and the USA from the national security stand point.The author gives the comparative analysis of the system errors in mathematical education of the USA, and singles out the ones to be avoided: the residual investment into the human capital, rising gap between the school mathematics and mathematical science, degrading fundamentality of mathematical education, test drills instead of in-depth training, non-consistency of school reorganization, reduced academic hours, etc. In the author’s opinion, the negative foreign experience should be considered in order to meet the time requirements and preserve a unique Russian brand of the high quality mathematical education

  16. Mathematical Modeling Is Also Physics--Interdisciplinary Teaching between Mathematics and Physics in Danish Upper Secondary Education

    Science.gov (United States)

    Michelsen, Claus

    2015-01-01

    Mathematics plays a crucial role in physics. This role is brought about predominantly through the building, employment, and assessment of mathematical models, and teachers and educators should capture this relationship in the classroom in an effort to improve students' achievement and attitude in both physics and mathematics. But although there…

  17. General Studies Advancement Examinations in Writing and Mathematics.

    Science.gov (United States)

    Johnson, De S.; Deduck, Patricia

    To continue upper division coursework past 15 credit hours, students at Southwest Texas State University must pass the College Level Examination Program (CLEP) General Examination in English Composition with Essay, with a minimum score of 421 and 45 semester hours of credit, and the CLEP General Examination in Mathematics, with a minimum score of…

  18. Computational Thinking in Mathematics Teacher Education

    Science.gov (United States)

    Gadanidis, George; Cendros, Rosa; Floyd, Lisa; Namukasa, Immaculate

    2017-01-01

    As computational thinking (CT) is increasing in focus in K-12 education, it is important to consider how teacher education programs may better prepare teacher candidates (TCs). Previous studies have found that TCs do not always have a firm understanding of what CT involves, and they might not have clear ideas about how to develop CT in their…

  19. Collaborative and Cooperative Learning in Malaysian Mathematics Education

    Directory of Open Access Journals (Sweden)

    Rohani Ahmad Tarmizi

    2012-07-01

    Full Text Available Collaborative and cooperative learning studies are well recognized in Malaysian mathematics education research. Cooperative learning is used to serve various ability students taking into consideration of their level of understanding, learning styles, sociological backgrounds that develop students’ academic achievement and skills,  and breeze the social harmony among students of different ethnic backgrounds. Besides academic achievement, process skills and values are required to extend the social harmony among students in today’s multiethnic schools. Therefore, teachers are expected to find the pedagogy that enables students to learn academic knowledge and professional skills to face the challenges in their everyday lives. The Malaysian scholars, based on the findings of their cooperative learning studies, emphasized the use of cooperative learning as an effective pedagogy with the aim to improve students’ mathematics achievement and communication skills. This paper describes the role of collaborative and cooperative learning to the development of students’ mathematics achievement along with their communication skills and with significant integration of values in Malaysian mathematics education.  Keywords:  Cooperative learning, mathematics education, academic achievement and skills, Malaysia. DOI: http://dx.doi.org/10.22342/jme.3.2.569.103-114

  20. The Influence of Applied STEM Coursetaking on Advanced Mathematics and Science Coursetaking

    Science.gov (United States)

    Gottfried, Michael A.

    2015-01-01

    Advanced mathematics and science course taking is critical in building the foundation for students to advance through the STEM pathway-from high school to college to career. To invigorate students' persistence in STEM fields, high schools have been introducing applied STEM courses into the curriculum as a way to reinforce concepts learned in…

  1. Development of Mathematics Competences in Higher Education Institutions

    Directory of Open Access Journals (Sweden)

    Anda Zeidmane

    2013-03-01

    Full Text Available The changes in society require revision of the content of higher education. Mathematics as a classical subject has played an important part in higher education until now, especially in engineering education. The introduction of mathematics IT programmes  (MathCad, MathLab, Matematica, Maple… in labour market caused the reduction of the practical application of the classical mathematics, therefore it is important to draw attention to the development of mathematical competences. The theoretical part of the paper deals with the notion of competence, its aspects and types, considers the question of the essence of  mathematics, examines general competences driven teaching of mathematics, describes organisational model underlying the curriculum in mathematics that is based on the division of the content of mathematics into levels. The paper describes the main issues of the development of teaching of mathematics discussed by European mathematicians (SEFI Math Working Group.  The paper presents the results of the ERDF project “Cross-border network for adapting mathematical competences in the socio-economic development (MatNet”, which

  2. Special Education Research Advances Knowledge in Education

    Science.gov (United States)

    Vaughn, Sharon; Swanson, Elizabeth A.

    2015-01-01

    Research in special education has yielded beneficial outcomes for students with disabilities as well as typical achieving students. The authors provide examples of the valuable knowledge special education research has generated, including the elements of response to intervention (e.g., screening and progress monitoring), instructional practices…

  3. Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers

    Science.gov (United States)

    Sagirli, Meryem Özturan

    2014-01-01

    This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…

  4. Prospective Turkish Primary Teachers' Views about the Use of Computers in Mathematics Education

    Science.gov (United States)

    Dogan, Mustafa

    2012-01-01

    The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…

  5. Career Advancement Outcomes in Academic Science, Technology, Engineering and Mathematics (STEM): Gender, Mentoring Resources, and Homophily

    Science.gov (United States)

    Lee, Sang Eun

    This dissertation examines gender differences in career advancement outcomes among academic science, technology, engineering and mathematics (STEM) scientists. In particular, this research examines effects of gender, PhD advisors and postdoctoral supervisors mentoring resources and gender homophily in the mentoring dyads on the career advancement outcomes at early career stages. Female academic scientists have disadvantages in the career progress in the academic STEM. They tend to fall behind throughout their career paths and to leave the field compared to their male colleagues. Researchers have found that gender differences in the career advancement are shaped by gender-biased evaluations derived from gender stereotypes. Other studies demonstrate the positive impacts of mentoring and gender homophily in the mentoring dyads. To add greater insights to the current findings of female academic scientists' career disadvantages, this dissertation investigates comprehensive effects of gender, mentoring, and gender homophily in the mentoring dyads on female scientists' career advancement outcomes in academic science. Based on the Status Characteristics Theory, the concept of mentoring, Social Capital Theory, and Ingroup Bias Theory, causal path models are developed to test direct and indirect effects of gender, mentoring resources, and gender homophily on STEM faculty's career advancement. The research models were tested using structural equation modeling (SEM) with data collected from a national survey, funded by the National Science Foundation, completed in 2011 by tenured and tenure-track academic STEM faculty from higher education institutions in the United States. Findings suggest that there is no gender difference in career advancement controlling for mentoring resources and gender homophily in the mentoring dyads and other factors including research productivity and domestic caregiving responsibilities. Findings also show that the positive relationship between

  6. Digital Curriculum Resources in Mathematics Education: Foundations for Change

    Science.gov (United States)

    Pepin, Birgit; Choppin, Jeffrey; Ruthven, Kenneth; Sinclair, Nathalie

    2017-01-01

    In this conceptual review paper we draw on recent literature with respect to digital curriculum resources (DCR); we briefly outline and explain selected theoretical frames; and we discuss issues related to the design, and the use (by teachers and students) of digital curricula and e-textbooks in mathematics education. The results of our review…

  7. Scaffolding and dialogic teaching in mathematics education : introduction and review

    NARCIS (Netherlands)

    Bakker, Arthur|info:eu-repo/dai/nl/272605778; Smit, Jantien|info:eu-repo/dai/nl/314005552; Wegerif, Rupert

    2015-01-01

    This article has two purposes: firstly to introduce this special issue on scaffolding and dialogic teaching in mathematics education and secondly to review the recent literature on these topics as well as the articles in this special issue. First we define and characterise scaffolding and dialogic

  8. Mathematical analysis of education tax in Nigerian private schools ...

    African Journals Online (AJOL)

    To overcome inadequate funding of public schools, the introduction of education tax has been suggested in literature. This paper analysed the effects of such tax on private schools using mathematical models, and highlighted the ways for achieving the smooth functioning of the system. Three case senerios were studied: ...

  9. Merging Invitational Theory with Mathematics Education: A Workshop for Teachers

    Science.gov (United States)

    Kitchens, Anita N.; Wenta, Robert G.

    2007-01-01

    Two faculty members in the department of mathematical sciences at a four-year university, with teacher-education experience, presented a workshop for in-service elementary and middle-school teachers. The intention was to address affective aspects of teaching including: teacher efficacy, learning styles, cognitive dissonance, relaxation, and…

  10. Improving science, technology and mathematics education in Nigeria

    African Journals Online (AJOL)

    Improving science, technology and mathematics education in Nigeria: A case study of Obafemi Awolowo University, Ile-Ife. ... They were selected from all the PBEIs through stratified sampling technique based on gender, course, department, unit and job prescription. Data was collected using a-34 item questionnaire ...

  11. Theoretical Framework of Researcher Knowledge Development in Mathematics Education

    Science.gov (United States)

    Kontorovich, Igor'

    2016-01-01

    The goal of this paper is to present a framework of researcher knowledge development in conducting a study in mathematics education. The key components of the framework are: knowledge germane to conducting a particular study, processes of knowledge accumulation, and catalyzing filters that influence a researcher's decision making. The components…

  12. Computers in Science and Mathematics Education in the ASEAN Region.

    Science.gov (United States)

    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)

  13. Collaborative and Cooperative Learning in Malaysian Mathematics Education

    Science.gov (United States)

    Hossain, Md. Anowar; Tarmizi, Rohani Ahmad; Ayud, Ahmad Fauzi Mohd

    2012-01-01

    Collaborative and cooperative learning studies are well recognized in Malaysian mathematics education research. Cooperative learning is used to serve various ability students taking into consideration of their level of understanding, learning styles, sociological backgrounds that develop students' academic achievement and skills, and breeze the…

  14. A Call for Postdoctoral Positions in Mathematics Education

    Science.gov (United States)

    Lockwood, Elise; Knuth, Eric

    2014-01-01

    In many STEM-related fields, graduating doctoral students are often expected to assume a postdoctoral position as a prerequisite to a faculty position, yet there is no such expectation in mathematics education. This phenomenon is likely due in large part to an abundance of faculty positions; however, it may also result from the field's…

  15. Cooperative learning and Mathematics Education: A happy Marriage?

    NARCIS (Netherlands)

    Terwel, J.; Stéphan Vincent-Lancrin, S.; Kiira Kärkkäinen, K.; Francesco Avvisati, F.

    2011-01-01

    One of the main questions in this paper is: ‘Should knowledge be provided or generated in mathematics education?’ In trying to respond on this fundamental question it became clear that this dichotomy is not fruitful. Therefore we looked for a third way in which guided cooperative learning was a

  16. Generations of Research on New Technologies in Mathematics Education

    Science.gov (United States)

    Sinclair, Nathalie

    2014-01-01

    This article traces some of the influential ideas and motivations that have shaped a large part of the research on the use of new technologies in mathematics education over the past 40 years. Particular attention is focused on Papert's legacy, Celia's Hoyles' transformation of it, and how both relate to the current research landscape that features…

  17. Understanding Practices in Mathematics Education: Structure and Text

    Science.gov (United States)

    Morgan, Candia

    2014-01-01

    The practices of mathematics education can be investigated at a wide variety of levels: from the actions of individual students or teachers through classroom interactions, school structures, curriculum specifications and materials, teacher development programmes and local, national or international systems of instruction and assessment. These…

  18. Positioning in Mathematics Education: Revelations on an Imported Theory

    Science.gov (United States)

    Herbel-Eisenmann, Beth A.; Wagner, David; Johnson, Kate R.; Suh, Heejoo; Figueras, Hanna

    2015-01-01

    We develop theory within the field of mathematics education based on analysis of an imported theory--positioning theory--and the way it is used in the field. After summarizing positioning theory, we identify some conceptual fuzziness, particularly in core terms "positioning" and "storyline." We offer Lemke's idea of timescales…

  19. The Rationality Debate: Application of Cognitive Psychology to Mathematics Education

    Science.gov (United States)

    Leron, Uri; Hazzan, Orit

    2006-01-01

    Research in mathematics education usually attempts to look into students' learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical…

  20. Sustainability Education: The What and How for Mathematics

    Science.gov (United States)

    Hamilton, Jason; Pfaff, Thomas J.

    2014-01-01

    In this article we provide a simple way to think about the concept of sustainability and provide a number of examples for incorporating sustainability education into commonly taught mathematics courses. Scientific assessments have concluded that ecosystem services (the benefits that humans derive from the functioning of Earth's natural…

  1. Arguments from Physics in Mathematical Proofs: An Educational Perspective.

    Science.gov (United States)

    Hanna, Gila; Jahnke, Hans Niels

    2002-01-01

    Investigates what the role of arguments from physics within mathematical proof is, and how this role should be reflected in the classroom. Presents examples showing the fruitfulness of center of gravity arguments in terms of geometrical configuration and the laws of the lever. Discusses educational advantages of the use of arguments from physics…

  2. Observations on Citation Practices in Mathematics Education Research. Research Commentary

    Science.gov (United States)

    Leatham, Keith R.

    2015-01-01

    The author argues that the field of mathematics education as a whole can and should improve its citation practices. He discusses 4 forms of citation practice and considers how they vary with respect to transparency of voice. He also discusses several ways that citation practices may misrepresent cited authors' ideas. He concludes with suggestions…

  3. Scaffolding and Dialogic Teaching in Mathematics Education: Introduction and Review

    Science.gov (United States)

    Bakker, Arthur; Smit, Jantien; Wegerif, Rupert

    2015-01-01

    This article has two purposes: firstly to introduce this special issue on scaffolding and dialogic teaching in mathematics education and secondly to review the recent literature on these topics as well as the articles in this special issue. First we define and characterise scaffolding and dialogic teaching and provide a brief historical overview…

  4. Trajectories of Mathematics and Technology Education Pointing to Engineering Design

    Science.gov (United States)

    Daugherty, Jenny L.; Reese, George C.; Merrill, Chris

    2010-01-01

    A brief examination and comparison of mathematics and technology education provides the background for a discussion of integration. In particular, members of each field have responded to the increasing pressures to better prepare students for the technologically rich, globally competitive future. Approaches based within each discipline are varied…

  5. Advanced Analysis of Isobaric Heat Capacities by Mathematical Gnostics

    Czech Academy of Sciences Publication Activity Database

    Wagner, Zdeněk; Bendová, Magdalena; Rotrekl, Jan; Velíšek, Petr; Storch, Jan; Uchytil, Petr; Setničková, Kateřina; Řezníčková Čermáková, Jiřina

    2017-01-01

    Roč. 46, 9-10 (2017), s. 1836-1853 ISSN 0095-9782. [International Symposium on Solubility Phenomena and Related Equilibrium Processes . Geneva, 24.07.2016-29.07.2016] R&D Projects: GA MŠk LD14090 Institutional support: RVO:67985858 Keywords : isobaric heat capacity * ionic liquids * mathematical gnostics Subject RIV: CF - Physical ; Theoretical Chemistry OBOR OECD: Physical chemistry Impact factor: 1.342, year: 2016

  6. Advanced Analysis of Isobaric Heat Capacities by Mathematical Gnostics

    Czech Academy of Sciences Publication Activity Database

    Wagner, Zdeněk; Bendová, Magdalena; Rotrekl, Jan; Velíšek, Petr; Storch, Jan; Uchytil, Petr; Setničková, Kateřina; Řezníčková Čermáková, Jiřina

    2017-01-01

    Roč. 46, 9-10 (2017), s. 1836-1853 ISSN 0095-9782. [International Symposium on Solubility Phenomena and Related Equilibrium Processes. Geneva, 24.07.2016-29.07.2016] R&D Projects: GA MŠk LD14090 Institutional support: RVO:67985858 Keywords : isobaric heat capacity * ionic liquids * mathematical gnostics Subject RIV: CF - Physical ; Theoretical Chemistry OBOR OECD: Physical chemistry Impact factor: 1.342, year: 2016

  7. Mathematical preliminaries to the advanced treatment of Hamiltonian dynamics

    International Nuclear Information System (INIS)

    Douglas, S.R.

    1991-07-01

    Hamilton's equations of motion and their solution are discussed from the viewpoints of geometry and algebra. The intention is to explain the mathematical underpinnings of the Lie algebraic methods due to A. Dragt and co-workers for solving problems in charged particle optics. Most of the important formulas in Lie algebraic optics are derived. These methods are being applied to the study of the particle trajectories in the superconducting cyclotron at Chalk River Laboratories

  8. TECHcitement: Advances in Technological Education, 2006

    Science.gov (United States)

    American Association of Community Colleges (NJ1), 2006

    2006-01-01

    This publication includes 13 articles: (1) ATE [Advanced Technological Education] Attuned to Global Competition; (2) Materials Science Center Supplies Information on Often-Overlooked Field; (3) CSEC [Cyber Security Education Consortium] Builds Corps of Cyber Technicians; (4) KCTCS [Kentucky Community and Technical College System] Is U.S. Partner…

  9. ABOUT THREE PROCESSES IN MATHEMATICS EDUCATION FOR SOLIDARITY ECONOMY ENTERPRISES

    Directory of Open Access Journals (Sweden)

    Renata Cristina Geromel Meneghetti

    2013-07-01

    Full Text Available This paper focuses on Mathematics Education in the context of Solidarity Economy and aims to approach our performance, aiming to answer demands of Mathematics Education of the three Solidarity Economy Enterprises (SEE: a cooperative cleaning, of a women carpenter’s group and a group manufacturing homemade soap. Based on the Ethnomathematics, a pedagogical intervention with these SEE was performed, in which we seek to work the Mathematics within the cultural context of these enterprises through problem situations related to their daily work. The research followed a qualitative research through action research. As a result we found that the approach applied has contributed to changes some attitudes, it was favorable to the learning of concepts and also the socioeconomic reintegration, in the direction of a posture more critical and emancipatory. The interventions were inserted in the Non Formal Education, and we point out that realize this type of education can indeed contribute to the ideals of Education in the Solidarity Economy as a way include those who have been socially excluded by formal education provided at school.

  10. University Science and Mathematics Education in Transition

    DEFF Research Database (Denmark)

    Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

    More than ever, our time is characterized by rapid changes in the organization and the production of knowledge. This movement is deeply rooted in the evolution of the scientific endeavor, as well as in the transformation of the political, economic and cultural organization of society It is also....... 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...

  11. Mathematics as an Im/Pure Knowledge System: Symbiosis, (W)Holism and Synergy in Mathematics Education

    Science.gov (United States)

    Luitel, Bal Chandra

    2013-01-01

    The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of "mathematics as a body of pure knowledge," which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of…

  12. Reflections on the role of a research task for teacher education in data handling in a Mathematical Literacy education course

    Directory of Open Access Journals (Sweden)

    Vera Frith

    2006-10-01

    Full Text Available The introduction of the subject “Mathematical Literacy” in the Further Education and Training band from 2006 has created an urgent need for large numbers of teachers to be educated about the nature of mathematical literacy and to become effective teachers of it. In this paper we report on an attempt to contribute to this goal through a curriculum component in an “Advanced Certificate in Education” course. This curriculum component on data handling was structured around a research task which required the teachers on the course to practise mathematical literacy  in a context where there is close linkage with other vital competencies, such as verbal reasoning, writing and computer literacy. This approach articulates well with the kind of teaching envisaged by the curriculum statement for “Mathematical Literacy”. We report on an initial analysis of the teachers’ reflections on their experience of the curriculum-embedded research task on this course, the manner in which this task contributed to their understanding of mathematical literacy as a practice and themselves as practitioners.

  13. Workshop on Advanced Modelling in Mathematical Finance : in Honour of Ernst Eberlein

    CERN Document Server

    Papapantoleon, Antonis

    2016-01-01

    This Festschrift resulted from a workshop on “Advanced Modelling in Mathematical Finance” held in honour of Ernst Eberlein’s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein’s long-standing collaborators and former students. Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments.

  14. Introduction to the papers of TWG17 : Theoretical perspectives and approaches in mathematics education research

    NARCIS (Netherlands)

    Bikner-Ahsbahs, Angelika; Bakker, A.; Haspekian, Mariam; Maracci, Mirko

    2017-01-01

    Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Conference Paper Dec 2017Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Angelika Bikner-Ahsbahs Arthur Bakker Mariam Haspekian Mirko Marraci

  15. New trends and advanced methods in interdisciplinary mathematical sciences

    CERN Document Server

    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.

  16. International Conference on Recent Advances in Mathematical Biology, Analysis and Applications

    CERN Document Server

    Saleem, M; Srivastava, H; Khan, Mumtaz; Merajuddin, M

    2016-01-01

    The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. All papers were prepared by participants at the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications (ICMBAA-2015) held during 4–6 June 2015 in Aligarh, India. A focal theme of the conference was the application of mathematics to the biological sciences and on current research in areas of theoretical mathematical analysis that can be used as sophisticated tools for the study of scientific problems. The conference provided researchers, academicians and ...

  17. Perspectives in Education: Advanced Search

    African Journals Online (AJOL)

    Search tips: Search terms are case-insensitive; Common words are ignored; By default only articles containing all terms in the query are returned (i.e., AND is implied); Combine multiple words with OR to find articles containing either term; e.g., education OR research; Use parentheses to create more complex queries; e.g., ...

  18. Continuing Medical Education: Advanced Search

    African Journals Online (AJOL)

    Search tips: Search terms are case-insensitive; Common words are ignored; By default only articles containing all terms in the query are returned (i.e., AND is implied); Combine multiple words with OR to find articles containing either term; e.g., education OR research; Use parentheses to create more complex queries; e.g., ...

  19. Teaching mathematics remotely: changed practices in distance education

    Science.gov (United States)

    Lowrie, Tom; Jorgensen, Robyn

    2012-09-01

    This investigation explored the challenges of creating meaningful mathematics practices for a community engaged in Distance Education (DE). Specifically, the study maps the influence of new technologies on the practices of a learning community where mathematics was taught remotely. The theoretical framework of this study utilised Bourdieu's work on practice to consider the changed nature of the field, in this case, remote education provision, over time. By using Bourdieu's notion of field, we are better able to understand the ways in which practices and discourses shape particular ways of working in rural education provision. The results of the study show that Field 1 was innovative and beyond the non-school world, while Field 2 lagged behind the technological resources of the non-school world.

  20. Complementing Mathematics Teachers’ Horizon Content Knowledge with an Elementary-on-Advanced Aspect

    Directory of Open Access Journals (Sweden)

    Yi-An Cho

    2018-02-01

    Full Text Available Although Ball and her colleagues provided empirical evidence to support the existence of the six sub-domains in mathematical knowledge for teaching (MKT and further explained or defined the majority of these sub-domains, there were few explanations of what horizon content knowledge (HCK embedded in MKT meant and they merely provided ideas about HCK. Many researchers attempted to provide some teaching incidents and exemplification to interpret the construct of HCK. Moreover, they thought teachers’ studies of tertiary mathematics are useful for classroom teaching practice. Their discourse and instantiation of HCK was correspondent with a higher perspective on elementary mathematics mentioned by Felix Klein (1924, but was not entirely coincide with a kind of elementary perspective on advanced knowledge introduced by Ball and Bass (2009. This study lasted 1 years, and data collection included in-depth interviews, classroom observation and video analysis. We provide a shared classroom teaching incidence and illustrations to explain and to describe the construct of HCK. HCK not only is a kind of elementary perspective on advanced mathematical knowledge, but also complements to a higher perspective on elementary mathematics. Furthermore, HCK could be seen as a reciprocal pathway between the elementary and advanced mathematical knowledge.

  1. Educational Changes to Support Advanced Practice Nursing Education

    OpenAIRE

    LeFlore, Judy L.; Thomas, Patricia E.

    2016-01-01

    Educational factors limit the number of advanced practice registered nurse (APRN) graduates to meet the growing workforce demands. Healthcare dynamics are necessitating a shift in how nursing education envisions, creates, and implements clinical learning opportunities. The current clinical education model in APRN programs continues to be the same as it was 45 years ago when the student numbers were much smaller. New approaches in graduate nursing education are needed to address the shortage o...

  2. Criticising with Foucault: Towards a Guiding Framework for Socio-Political Studies in Mathematics Education

    Science.gov (United States)

    Kollosche, David

    2016-01-01

    Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the…

  3. Mathematics Education Research in South Africa 2007-2015: Review and Reflection

    Science.gov (United States)

    Adler, Jill; Alshwaikh, Jehad; Essack, Regina; Gcsamba, Lizeka

    2017-01-01

    This article reports a review of research in mathematics education in South Africa published in local and international journals in the period 2007-2015. The purpose of the review was to describe the landscape of mathematics education research in the country over the past (almost) decade. Findings indicate that the mathematics education research…

  4. Re/Writing the Subject: A Contribution to Post-Structuralist Theory in Mathematics Education

    Science.gov (United States)

    Roth, Wolff-Michael

    2012-01-01

    This text, occasioned by a critical reading of "Mathematics Education and Subjectivity" (Brown, "2011") and constituting a response to the book, aims at contributing to the building of (post-structuralist) theory in mathematics education. Its purpose was to re/write two major positions that "Mathematics Education and Subjectivity" articulates:…

  5. Discourses of power in mathematics education research: Concepts and possibilities for action

    DEFF Research Database (Denmark)

    Valero, Paola

    2008-01-01

    Mathematics education is powerful. This is an assertion that appears often in mathematics education research papers. However, the meaning of the assertion is far from being clear. An analysis of different ways of talking about power in relation to mathematics education, in research literature, is...

  6. Research on Mathematics Education in China in the Last Decade: A Review of Journal Articles

    Science.gov (United States)

    Xu, Binyan

    2010-01-01

    This article reviews literature on mathematics education in China in the last decade. It focuses on papers that were published after 2000, and Chinese Social Science Citation Index (CSSCI). Some influential journals in the field of mathematics education, such as the "Journal of Mathematics Education" and "Mathematics…

  7. Technology-Enhanced Mathematics Education for Creative Engineering Studies

    DEFF Research Database (Denmark)

    Triantafyllou, Eva; Timcenko, Olga

    2014-01-01

    possibilities for mathematics representation, for interacting with mathematical concepts, and for positioning mathematics in the context of their studies. First, we are going to investigate how mathematics is used in their professional and academic work, and how important mathematical concepts...

  8. Advanced quantitative measurement methodology in physics education research

    Science.gov (United States)

    Wang, Jing

    The ultimate goal of physics education research (PER) is to develop a theoretical framework to understand and improve the learning process. In this journey of discovery, assessment serves as our headlamp and alpenstock. It sometimes detects signals in student mental structures, and sometimes presents the difference between expert understanding and novice understanding. Quantitative assessment is an important area in PER. Developing research-based effective assessment instruments and making meaningful inferences based on these instruments have always been important goals of the PER community. Quantitative studies are often conducted to provide bases for test development and result interpretation. Statistics are frequently used in quantitative studies. The selection of statistical methods and interpretation of the results obtained by these methods shall be connected to the education background. In this connecting process, the issues of educational models are often raised. Many widely used statistical methods do not make assumptions on the mental structure of subjects, nor do they provide explanations tailored to the educational audience. There are also other methods that consider the mental structure and are tailored to provide strong connections between statistics and education. These methods often involve model assumption and parameter estimation, and are complicated mathematically. The dissertation provides a practical view of some advanced quantitative assessment methods. The common feature of these methods is that they all make educational/psychological model assumptions beyond the minimum mathematical model. The purpose of the study is to provide a comparison between these advanced methods and the pure mathematical methods. The comparison is based on the performance of the two types of methods under physics education settings. In particular, the comparison uses both physics content assessments and scientific ability assessments. The dissertation includes three

  9. Current Challenges in Integrating Educational Technology into Elementary and Middle School Mathematics Education

    Science.gov (United States)

    Okita, Sandra Y.; Jamalian, Azadeh

    2011-01-01

    Developing curriculum and instruction for mathematics education and designing technologically enhanced learning environments are often pursued separately, but may need to be addressed together to effectively link the strengths of technology to performance in mathematics and conceptual understanding. This paper addresses current challenges with…

  10. Advances and Problems in Mathematical Modelling of Dispersion of ...

    African Journals Online (AJOL)

    Most expressions for dispersion of pollutants have failed to give accurate predictions in both channel and natural stream flows. This paper outlines the basic concepts on which the fundamental dispersion equations have been derived. Some of the advances on these equations are examined and their deficiencies pointed ...

  11. Demonstration lessons in mathematics education: teachers' observation foci and intended changes in practice

    Science.gov (United States)

    Clarke, Doug; Roche, Anne; Wilkie, Karina; Wright, Vince; Brown, Jill; Downton, Ann; Horne, Marj; Knight, Rose; McDonough, Andrea; Sexton, Matthew; Worrall, Chris

    2013-06-01

    As part of a teacher professional learning project in mathematics education, university mathematics educators taught demonstration lessons in project primary schools. These lessons were part of a "pre-brief, teaching, and debrief" process, in which up to eight teachers observed each lesson. Using brief questionnaires completed in advance of the lesson, during the lesson, following the debrief, and several weeks later, data were collected on teachers' intended and actual observation foci and any anticipated changes in their beliefs and practices arising from the experience. There were several common themes in teachers' intended observations, including a focus on questioning, catering for individual differences, and building student engagement. As evident in other research, teachers' intended and actual observations gave greater attention to teacher actions and decision making than to student learning and thinking. In this paper, we situate demonstration lessons within teacher professional learning models, describe the features of our model, summarise teacher data, and discuss issues arising from our work.

  12. USE OF REMOTE EDUCATIONAL TECHNOLOGIES IN TRAINING MATHEMATICS

    Directory of Open Access Journals (Sweden)

    Магомед Абдулаевич Сурхаев

    2017-12-01

    Full Text Available The prospect of using distance learning on classes in mathematics and also requirements to ICT competence of mathematics teacher in the conditions information and education environments of educational organization are discussed in article. Requirements to ICT competence of a teacher are formulated in the professional standard for teacher and caused by the fact that the huge potential of information and education environment of educational organization remains unrealized mostly because there isn’t enough teachers capable and ready to use possibilities of new educational environment to increase efficiency of educational process. If today the all-user ICT- competence including knowledge of bases hardware and the software of the computer as the instrument of work in modern information space and necessary for the teacher to work with text editors, spreadsheets, e-mail and browsers, the multimedia equipment already is at the sufficient level at most of teachers, then all-pedagogical andsubject and pedagogical ICT-competence leaves is much to be desired, All-pedagogical and subject pedagogical ICT- competence are necessary for a teacher in particular for introduction electronic training and distance educational technologies. Implementation of distance learning allows to increase a share of independent work of pupils and to make active, develop ability of search, the analysis and synthesis of information.

  13. An investigation into trends in Advanced Placement test taking in science and mathematics among student sub-populations using a longitudinal growth model

    Science.gov (United States)

    Campbell, D. Michael

    The lack of preparation, participation, and equal access of students in mathematics and the science education continues to afflict America's high school system (Ratliff, 2001). Additionally, gender and ethnic status have become significant factors as females and minority subgroups such as African Americans and Hispanics continue to be underrepresented in these two subject fields. Recognizing and understanding these trends is extremely important for the future of this country. As fewer minorities and females become involved in advanced mathematics and science curriculum there will be a continued lack of minorities and females in mathematics and science careers. Additionally, this insufficient representation leads to fewer numbers of females and minorities in industry and educational leadership positions in mathematics and science to promote participation and equality in these fields. According to Brainard and Carlin (2003) as trends currently stand, these two groups will be under-represented in the fields of math and science and will continue to be denied economic and social power. Thus, a better understanding of these trends in participation in mathematics and science among these groups of students is warranted. This study is intended to accomplish four objectives. The first objective is to identify the extent to which opportunities are increasing or decreasing for students in high schools taking mathematics and science Advanced Placement exams by examining six years of student testing data from the College Board. A second objective is to identify features of high schools that relate to greater expansion in Advanced Placement test taking for females and minority groups in the areas of both math and science. A third objective is to explore whether, and to what extent, any social or educational features such as economic status, regional school and living locations, and ethnic backgrounds have enhanced or reduced Advanced Placement testing in these schools. Lastly

  14. Self-Perception of Advanced Mathematical Learners: A Focus on Sixth-Grade Latinos/as

    Science.gov (United States)

    Cavell, Heather A.

    2010-01-01

    The purpose of this dissertation was to analyze the social and educational contexts that impact students' perceptions of their mathematical learning and students' use of resistance in regard to these social and educational impacts within the sixth grade environment. Specifically, this study addressed the following overarching questions: (1) What…

  15. Implications for Science and Mathematics Education of Current Philosophies of Education.

    Science.gov (United States)

    Hopkins, Richard L.

    1981-01-01

    Differing philosophies of education associated with John Dewey, Robert Maynard Hutchins, Jerome Bruner, and A. S. Neill are outlined. Implications of each philosophy for mathematics and science teaching are suggested. (MP)

  16. Integrating HIV & AIDS education in pre-service mathematics education for social justice

    Directory of Open Access Journals (Sweden)

    Linda van Laren

    2011-01-01

    Full Text Available Since 1999, many South African education policy documents have mandated integration of HIV & AIDS education in learning areas/disciplines. Policy document research has shown that although South African politicians and managers have produced volumes of eloquent and compelling legislation regarding provision for HIV & AIDS education, little of this is translated into action. The impact of HIV & AIDS permeates the social, economic and political arenas in South Africa. Integration of HIV & AIDS education across disciplines can serve as a strategy to further the ideals of social justice. This paper focuses on how integration in the teaching and learning of Mathematics Education provides opportunities to take action for social justice. The inquiry explores the following question: How can the myth that there is 'nothing we can do' about HIV & AIDS, which is linked to social justice issues, be addressed through integration of HIV & AIDS education in Mathematics pre-service teacher education? Drawing on self-study, the work of a Mathematics teacher educator who worked with pre-service teachers to integrate HIV & AIDS education at a higher education institution is described. By considering integration of HIV & AIDS education in Mathematics Education and taking action it is possible to develop strategies which directly relate to social justice.

  17. The use of educational platforms as teaching resource in mathematics

    Directory of Open Access Journals (Sweden)

    Marcela Gómez-Zermeño

    2018-03-01

    Full Text Available Dropping out from the school system at High School level has been a problem for several years; high levels of mathematics’ failing have been a recurring situation. This paper discusses how academic virtual counseling might be a tool to help students in math class. The methodological approach is based in the non-experimental, longitudinal model evolution and in the designs of evolutionary group analysis, we stated the possibility to generalize the results of the use of technological resources in the teaching of mathematics in order to find out if it is possible to improve the levels of students at a school in upper level education. According to this research, the use of educational platforms as a resource for the subject of mathematics represents not only a technological tool for teachers but also offers students the opportunity to view this subject as an academic challenge to overcome

  18. Networking of theories as a research practice in mathematics education

    CERN Document Server

    Bikner-Ahsbahs, Angelika

    2014-01-01

    How can we deal with the diversity of theories in mathematics education This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of netw...

  19. A protocol for analysing mathematics teacher educators' practices

    OpenAIRE

    Kuzle , Ana; Biehler , Rolf

    2015-01-01

    International audience; Studying practices in a teaching-learning environment, such as professional development programmes, is a complex and multi-faceted endeavour. While several frameworks exist to help researchers analyse teaching practices, none exist to analyse practices of those who organize professional development programmes, namely mathematics teacher educators. In this paper, based on theoretical as well as empirical results, we present a protocol for capturing different aspects of ...

  20. Health education alone and health education plus advance ...

    African Journals Online (AJOL)

    This was an intervention study to compare the effects of health education alone and health education plus advance provision of emergency contraception (EC) pills on the knowledge and attitudes to EC by female students of University of Nigeria in South‑East Nigeria. Materials and Methods: Astructured questionnaire was ...

  1. Health education alone and health education plus advance ...

    African Journals Online (AJOL)

    2013-04-17

    Apr 17, 2013 ... Health education alone and health education plus advance provision of emergency contraceptive pills on knowledge and attitudes among university female students in Enugu, Nigeria. SU Arinze‑Onyia, EN Aguwa1, Ed Nwobodo2. Department of Community Medicine, Enugu State University College of ...

  2. Governing the Modern, Neoliberal Child through ICT Research in Mathematics Education

    DEFF Research Database (Denmark)

    Valero, Paola; Knijnik, Gelsa

    2015-01-01

    Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion...... of governmentality, the section Technology in the mathematics curriculum in the Third International Mathematics Education Research Handbook is discursively analyzed. We problematize how mathematics education research on ICT devices pedagogical technologies that steer the conduct of children to become the desired...

  3. Which Advanced Mathematics Courses Influence ACT Score? A State Level Analysis of the Iowa Class of 2012

    Science.gov (United States)

    Grinstead, Mary L.

    2013-01-01

    This study explores the relationship between specific advanced mathematics courses and college readiness (as determined by ACT score). The ACT organization has found a consistent relationship between taking a minimum core number of mathematics courses and higher ACT scores (mathematics and composite) (ACT, Inc., 2012c). However, the extent to…

  4. Proposal of a pedagogical model for mathematics teacher education

    Directory of Open Access Journals (Sweden)

    Alfonso Jiménez Espinosa

    2011-01-01

    Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.

  5. Undergraduate Students' Perceptions of the Mathematics Courses Included in the Primary School Teacher Education Program

    Science.gov (United States)

    Serin, Mehmet Koray; Incikabi, Semahat

    2017-01-01

    Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…

  6. Conceptual and mathematical advances in the search for a unified framework

    CERN Document Server

    Müller, Olaf; Nardmann, Marc; Tolksdorf, Jürgen; Zeidler, Eberhard; Quantum field theory and gravity

    2012-01-01

    One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicis...

  7. Career Advancement Outcomes in Academic Science, Technology, Engineering and Mathematics (STEM): Gender, Mentoring Resources, and Homophily

    Science.gov (United States)

    Lee, Sang Eun

    2017-01-01

    This dissertation examines gender differences in career advancement outcomes among academic science, technology, engineering and mathematics (STEM) scientists. In particular, this research examines effects of gender, PhD advisors and postdoctoral supervisors mentoring resources and gender homophily in the mentoring dyads on the career advancement…

  8. Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

    Science.gov (United States)

    Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

    2015-01-01

    One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

  9. Music-Themed Mathematics Education as a Strategy for Improving Elementary Preservice Teachers' Mathematics Pedagogy and Teaching Self-Efficacy

    Science.gov (United States)

    An, Song A.; Tillman, Daniel A.; Paez, Carlos R.

    2015-01-01

    This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…

  10. What Mathematics Education Might Learn from the Work of Well-Respected African American Mathematics Teachers in Urban Schools

    Science.gov (United States)

    Chazan, Daniel; Brantlinger, Andrew; Clark, Lawrence M.; Edwards, Ann R.

    2013-01-01

    Background/Context: This opening article, like the other articles in this special issue, is situated in scholarship that attempts to understand the racialized nature of mathematics education in the United States and to examine the racial identities of students and teachers in the context of school mathematics. It is designed to respond to the…

  11. Problems in the Real World of Mathematics Education.

    Science.gov (United States)

    Copes, Larry

    2003-01-01

    Discusses the meaning of the phrase "mathematics is everywhere." Introduces the book "Reconstructing School Mathematics: Problems with Problems and the Real World", written by Stephen Brown, which emphasizes mathematical modeling and the connection between mathematics and students' lives. (KHR)

  12. Calculus Problem Solving Behavior of Mathematic Education Students

    Science.gov (United States)

    Rizal, M.; Mansyur, J.

    2017-04-01

    The purpose of this study is to obtain a description of the problem-solving behaviour of mathematics education students. The attainment of the purpose consisted of several stages: (1) to gain the subject from the mathematic education of first semester students, each of them who has a high, medium, and low competence of mathematic case. (2) To give two mathematical problems with different characteristics. The first problem (M1), the statement does not lead to a resolution. The second problem (M2), a statement leads to problem-solving. (3) To explore the behaviour of problem-solving based on the step of Polya (Rizal, 2011) by way of thinking aloud and in-depth interviews. The obtained data are analysed as suggested by Miles and Huberman (1994) but at first, time triangulation is done or data’s credibility by providing equivalent problem contexts and at different times. The results show that the behavioral problem solvers (mathematic education students) who are capable of high mathematic competency (ST). In understanding M1, ST is more likely to pay attention to an image first, read the texts piecemeal and repeatedly, then as a whole and more focus to the sentences that contain equations, numbers or symbols. As a result, not all information can be received well. When understanding the M2, ST can link the information from a problem that is stored in the working memory to the information on the long-term memory. ST makes planning to the solution of M1 and M2 by using a formula based on similar experiences which have been ever received before. Another case when implementing the troubleshooting plans, ST complete the M1 according to the plan, but not all can be resolved correctly. In contrast to the implementation of the solving plan of M2, ST can solve the problem according to plan quickly and correctly. According to the solving result of M1 and M2, ST conducts by reading the job based on an algorithm and reasonability. Furthermore, when SS and SR understand the

  13. Developing a learning environment on realistic mathematics education for Indonesian student teachers

    NARCIS (Netherlands)

    Zulkardi, Z.

    2002-01-01

    The CASCADE-IMEI study was started to explore the role of a learning environment (LE) in assisting mathematics student teachers learning Realistic Mathematics Education (RME) as a new instructional approach in mathematics education in Indonesia. The LE for this study has been developed and evaluated

  14. Student-Teachers in Higher Education Institutions' (HEIs) Emotional Intelligence and Mathematical Competencies

    Science.gov (United States)

    Eustaquio, William Rafael

    2015-01-01

    As manifested by various studies conducted, the present state of Mathematics education in the teaching-learning process is relatively declining and the existing effort to identify emotional intelligence and mathematics competencies of Mathematics major student-teachers at Higher Education Institutions in Isabela is an attempt to help alleviate the…

  15. A Categorization Model for Educational Values of the History of Mathematics: An Empirical Study

    Science.gov (United States)

    Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

    2017-01-01

    There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…

  16. Transition from Realistic to Real World Problems with the Use of Technology in Elementary Mathematical Education

    Science.gov (United States)

    Budinski, Natalija; Milinkovic, Dragica

    2017-01-01

    The availability of technology has a big impact on education, and that is the main reason for discussing the use of technologies in mathematical education in our paper. The availability of technology influences how mathematical contents could be presented to students. We present the benefits of learning mathematical concepts through real life…

  17. MATHEMATICS COURSES AND NEW EMERGING DESIGN TOOL AN OVERVIEW OF ARCHITECTURAL EDUCATION IN INDONESIA

    Directory of Open Access Journals (Sweden)

    Aswin Indraprastha

    2008-01-01

    Full Text Available Since the beginning, mathematics courses are inherent within architecture education. In Indonesia, the legacy from Dutch education system has influenced most of the architectural schools and this courses stand as one of basic engineering courses for architecture education system. This situation has been remaining well adopted until recently, some of architectural schools are tailoring mathematics to shape with contemporary challenges particularly regards to the digital tools. This paper aims to present brief information about mathematics courses in architectural schools in Indonesia, the importance of mathematics in learning digital design tools and propose thoughts to upgrade mathematics content in architectural education towards new emerging design tools.

  18. Study on advancement of in vivo counting using mathematical simulation

    Energy Technology Data Exchange (ETDEWEB)

    Kinase, Sakae [Japan Atomic Energy Research Inst., Tokai, Ibaraki (Japan). Tokai Research Establishment

    2003-05-01

    To obtain an assessment of the committed effective dose, individual monitoring for the estimation of intakes of radionuclides is required. For individual monitoring of exposure to intakes of radionuclides, direct measurement of radionuclides in the body - in vivo counting- is very useful. To advance in a precision in vivo counting which fulfills the requirements of ICRP 1990 recommendations, some problems, such as the investigation of uncertainties in estimates of body burdens by in vivo counting, and the selection of the way to improve the precision, have been studied. In the present study, a calibration technique for in vivo counting application using Monte Carlo simulation was developed. The advantage of the technique is that counting efficiency can be obtained for various shapes and sizes that are very difficult to change for phantoms. To validate the calibration technique, the response functions and counting efficiencies of a whole-body counter installed in JAERI were evaluated using the simulation and measurements. Consequently, the calculations are in good agreement with the measurements. The method for the determination of counting efficiency curves as a function of energy was developed using the present technique and a physiques correction equation was derived from the relationship between parameters of correction factor and counting efficiencies of the JAERI whole-body counter. The uncertainties in body burdens of {sup 137}Cs estimated with the JAERI whole-body counter were also investigated using the Monte Carlo simulation and measurements. It was found that the uncertainties of body burdens estimated with the whole-body counter are strongly dependent on various sources of uncertainty such as radioactivity distribution within the body and counting statistics. Furthermore, the evaluation method of the peak efficiencies of a Ge semi-conductor detector was developed by Monte Carlo simulation for optimum arrangement of Ge semi-conductor detectors for

  19. 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...... of representational forms in science is discussed, and how the objects of mathematics and science relate to their semiotic representations.......The first part of the paper presents a taxonomy of representational forms inspired by Peircian semiotics and Duval’s description of learning in mathematics. The typology highlights the possibility that students may con-ceive of e.g. a graph as another type of representational form. Specifically...

  20. International Conference on Computers and Advanced Technology in Education

    CERN Document Server

    Advanced Information Technology in Education

    2012-01-01

    The volume includes a set of selected papers extended and revised from the 2011 International Conference on Computers and Advanced Technology in Education. With the development of computers and advanced technology, the human social activities are changing basically. Education, especially the education reforms in different countries, has been experiencing the great help from the computers and advanced technology. Generally speaking, education is a field which needs more information, while the computers, advanced technology and internet are a good information provider. Also, with the aid of the computer and advanced technology, persons can make the education an effective combination. Therefore, computers and advanced technology should be regarded as an important media in the modern education. Volume Advanced Information Technology in Education is to provide a forum for researchers, educators, engineers, and government officials involved in the general areas of computers and advanced technology in education to d...

  1. Communitarian education and mathematics learning: A way of value diversity

    Directory of Open Access Journals (Sweden)

    Adamuz-Povedano Natividad

    2016-01-01

    Full Text Available In our society there is high diversity so we need educational methodologies that promote equal opportunities for personal success inside the difference. It is necessary to explore the role of non-formal educational practices in multicultural contexts and to implement a model of communitarian education that allows the practices of other cultures to become valued by and visible to the broader society. Nowadays there are not doubts about the importance of the developing of number sense in the early mathematics learning, however, the entrance to the scholar arithmetic is, in most cases, through the teaching of the four rules using the traditional algorithms. Here we show how to use open calculations based on numbers (ABN as an inclusive methodological alternative, based on the meaningful learning of the decimal system, the operations and their properties. We think the method fits very well with people from other ethnics as Romanian people.

  2. Implementing "Big Ideas" to Advance the Teaching and Learning of Science, Technology, Engineering, and Mathematics (STEM)

    Science.gov (United States)

    Chalmers, Christina; Carter, Merilyn; Cooper, Tom; Nason, Rod

    2017-01-01

    Although education experts are increasingly advocating the incorporation of integrated Science, Technology, Engineering, and Mathematics (STEM) curriculum units to address limitations in much current STEM teaching and learning, a review of the literature reveals that more often than not such curriculum units are not mediating the construction of…

  3. Advanced Mathematics Online: Assessing Particularities in the Online Delivery of a Second Linear Algebra Course

    Science.gov (United States)

    Montiel, Mariana; Bhatti, Uzma

    2010-01-01

    This article presents an overview of some issues that were confronted when delivering an online second Linear Algebra course (assuming a previous Introductory Linear Algebra course) to graduate students enrolled in a Secondary Mathematics Education program. The focus is on performance in one particular aspect of the course: "change of basis" and…

  4. Cooperative Learning in the Advanced Algebra and Trigonometry Mathematics High School Classroom

    Science.gov (United States)

    Jozsa, Alison

    2017-01-01

    Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…

  5. `Walking in a Foreign and Unknown Landscape': Studying the History of Mathematics in Initial Teacher Education

    Science.gov (United States)

    Povey, Hilary

    2013-07-01

    This article develops the argument that students in initial teacher education benefit in terms of who they are becoming from developing awareness of and engagement in the history of mathematics. Initially, current school mathematics practices in the UK are considered and challenged. Then the role of teachers' relationship to mathematical subject knowledge and of teachers' engagement in critical thinking are considered. Connections are made between these concerns and studying the history of mathematics in initial teacher education classrooms. I then draw on the perspectives and practices of the mathematics teacher educators at one institution to understand these connections better and to exemplify them. Issues of equity are threaded throughout.

  6. Advanced Education and Technology Business Plan, 2010-13

    Science.gov (United States)

    Alberta Advanced Education and Technology, 2010

    2010-01-01

    This paper presents the business plan of the Ministry of Advanced Education and Technology for 2010 to 2013. Advanced Education and Technology supports the advanced learning system by providing funding for advanced learning providers, coordinating and approving programs of study at public institutions, licensing and approving programs at private…

  7. Coordinating Space Nuclear Research Advancement and Education

    International Nuclear Information System (INIS)

    Bess, John D.; Webb, Jonathon A.; Gross, Brian J.; Craft, Aaron E.

    2009-01-01

    The advancement of space exploration using nuclear science and technology has been a goal sought by many individuals over the years. The quest to enable space nuclear applications has experienced many challenges such as funding restrictions; lack of political, corporate, or public support; and limitations in educational opportunities. The Center for Space Nuclear Research (CSNR) was established at the Idaho National Laboratory (INL) with the mission to address the numerous challenges and opportunities relevant to the promotion of space nuclear research and education.1 The CSNR is operated by the Universities Space Research Association and its activities are overseen by a Science Council comprised of various representatives from academic and professional entities with space nuclear experience. Program participants in the CSNR include academic researchers and students, government representatives, and representatives from industrial and corporate entities. Space nuclear educational opportunities have traditionally been limited to various sponsored research projects through government agencies or industrial partners, and dedicated research centers. Centralized research opportunities are vital to the growth and development of space nuclear advancement. Coordinated and focused research plays a key role in developing the future leaders in the space nuclear field. The CSNR strives to synchronize research efforts and provide means to train and educate students with skills to help them excel as leaders.

  8. The Educational Situation Quality Model: Recent Advances

    Science.gov (United States)

    Doménech-Betoret, Fernando

    2018-01-01

    The purpose of this work was to present an educational model developed in recent years entitled the “The Educational Situation Quality Model” (MOCSE, acronym in Spanish). MOCSE can be defined as an instructional model that simultaneously considers the teaching-learning process, where motivation plays a central role. It explains the functioning of an educational setting by organizing and relating the most important variables which, according to the literature, contribute to student learning. Besides being a conceptual framework, this model also provides a methodological procedure to guide research and to promote reflection in the classroom. It allows teachers to implement effective research-action programs to improve teacher–students satisfaction and learning outcomes in the classroom context. This work explains the model’s characteristics and functioning, recent advances, and how teachers can use it in an educational setting with a specific subject. This proposal integrates approaches from several relevant psycho-educational theories and introduces a new perspective into the existing literature that will allow researchers to make progress in studying educational setting functioning. The initial MOCSE configuration has been refined over time in accordance with the empirical results obtained from previous research, carried out within the MOCSE framework and with the subsequent reflections that derived from these results. Finally, the contribution of the model to improve learning outcomes and satisfaction, and its applicability in the classroom, are also discussed. PMID:29593623

  9. The Educational Situation Quality Model: Recent Advances

    Directory of Open Access Journals (Sweden)

    Fernando Doménech-Betoret

    2018-03-01

    Full Text Available The purpose of this work was to present an educational model developed in recent years entitled the “The Educational Situation Quality Model” (MOCSE, acronym in Spanish. MOCSE can be defined as an instructional model that simultaneously considers the teaching-learning process, where motivation plays a central role. It explains the functioning of an educational setting by organizing and relating the most important variables which, according to the literature, contribute to student learning. Besides being a conceptual framework, this model also provides a methodological procedure to guide research and to promote reflection in the classroom. It allows teachers to implement effective research-action programs to improve teacher–students satisfaction and learning outcomes in the classroom context. This work explains the model’s characteristics and functioning, recent advances, and how teachers can use it in an educational setting with a specific subject. This proposal integrates approaches from several relevant psycho-educational theories and introduces a new perspective into the existing literature that will allow researchers to make progress in studying educational setting functioning. The initial MOCSE configuration has been refined over time in accordance with the empirical results obtained from previous research, carried out within the MOCSE framework and with the subsequent reflections that derived from these results. Finally, the contribution of the model to improve learning outcomes and satisfaction, and its applicability in the classroom, are also discussed.

  10. Strategies Used to Teach Mathematics to Special Education Students from the Teachers' Perspective

    Science.gov (United States)

    Brown, Desline A.

    2016-01-01

    The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…

  11. Contributions from Sociology of Science to Mathematics Education in Brazil: Logic as a System of Beliefs

    Science.gov (United States)

    Novaes de Andrade, Thales Haddad; Vilela, Denise Silva

    2013-01-01

    In Brazil, mathematics education was associated with Jean Piaget's theory. Scholars in the field of education appropriated Piaget's work in different ways, but usually emphasized logical aspects of thought, which probably lead to an expansion of mathematics education influenced by psychology. This study attempts to extend the range of…

  12. A Categorization Model for Educational Values of the History of Mathematics. An Empirical Study

    Science.gov (United States)

    Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

    2017-11-01

    There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.

  13. Students’ Critical Mathematical Thinking Skills and Character: Experiments for Junior High School Students through Realistic Mathematics Education Culture-Based

    Directory of Open Access Journals (Sweden)

    Anderson L. Palinussa

    2013-01-01

    Full Text Available This paper presents the findings of a quasi-experimental with pre-testpost-test design and control group that aims to assess students’ critical mathematical thinking skills and character through realisticmathematics education (RME culture-based. Subjects of this studywere 106 junior high school students from two low and medium schools level in Ambon. The instruments of the study are: students’ early math skills test, critical thinking skills mathematical test and perception scale of students’character. Data was analyzed by using t test and Anova. The study found that: 1 Achievements and enhancement of students’ critical mathematical thinking skills who were treated with by realistic mathematics education is better then students’ skills were treated by conventional mathematics education. The differences are considered to: a overall students, b the level of early math skills, and c schools’ level; 2 Quality of students’ characterwho were treated by realistic mathematics education is better thenstudents’ character who were treated by conventional mathematicseducation The differences are considered to: a overall students, b the level of early math skills, and c schools’ level

  14. Proceedings of the tenth international conference Models in developing mathematics education

    OpenAIRE

    2012-01-01

    This volume contains the papers presented at the International Conference on “Models in Developing Mathematics Education” held from September 11-17, 2009 at The University of Applied Sciences, Dresden, Germany. The Conference was organized jointly by The University of Applied Sciences and The Mathematics Education into the 21st Century Project - a non-commercial international educational project founded in 1986. The Mathematics Education into the 21st Century Project is dedicated to the impro...

  15. Historical perspective on advanced drug delivery: how engineering design and mathematical modeling helped the field mature.

    Science.gov (United States)

    Peppas, Nicholas A

    2013-01-01

    We review the early developments in drug delivery from 1960 to 1990 with emphasis on the fundamental aspects of the field and how they shaped the collaboration of pharmaceutical scientists, chemists, biologists, engineers and medical scientists towards the development of advanced drug delivery systems. Emphasis is given on the advances of biomaterials as drug delivery agents and on the use of design equations and mathematical modeling to achieve a wide range of successful systems. Copyright © 2012 Elsevier B.V. All rights reserved.

  16. Increasing Awareness of Practice through Interaction across Communities: The Lived Experiences of a Mathematician and Mathematics Teacher Educator

    Science.gov (United States)

    Bleiler, Sarah K.

    2015-01-01

    Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…

  17. Variables that Affect Math Teacher Candidates' Intentions to Integrate Computer-Assisted Mathematics Education (CAME)

    Science.gov (United States)

    Erdogan, Ahmet

    2010-01-01

    Based on Social Cognitive Carier Theory (SCCT) (Lent, Brown, & Hackett, 1994, 2002), this study tested the effects of mathematics teacher candidates' self-efficacy in, outcome expectations from, and interest in CAME on their intentions to integrate Computer-Assisted Mathematics Education (CAME). While mathematics teacher candidates' outcome…

  18. Enhancing Mathematics (STEM) Teacher Education in Regional Australia: Pedagogical Interactions and Affect

    Science.gov (United States)

    Woolcott, Geoff; Yeigh, Tony

    2015-01-01

    This article reports on initial findings, including the mathematics components, of a multi-institutional Science, Technology, Engineering, and Mathematics (STEM) project, "It's part of my life: Engaging university and community to enhance science and mathematics education." This project is focussed on improving the scientific and…

  19. Exploring Relationships between Presage Variables of Florida Preservice Agricultural Education Teachers Related to Teaching Contextualized Mathematics

    Science.gov (United States)

    Stripling, Christopher T.; Roberts, T. Grady

    2013-01-01

    The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…

  20. Mathematics Literacy on Problem Based Learning with Indonesian Realistic Mathematics Education Approach Assisted E-Learning Edmodo

    Science.gov (United States)

    Wardono; Waluya, S. B.; Mariani, Scolastika; Candra D, S.

    2016-02-01

    This study aims to find out that there are differences in mathematical literacy ability in content Change and Relationship class VII Junior High School 19, Semarang by Problem Based Learning (PBL) model with an Indonesian Realistic Mathematics Education (called Pendidikan Matematika Realistik Indonesia or PMRI in Indonesia) approach assisted Elearning Edmodo, PBL with a PMRI approach, and expository; to know whether the group of students with learning PBL models with PMRI approach and assisted E-learning Edmodo can improve mathematics literacy; to know that the quality of learning PBL models with a PMRI approach assisted E-learning Edmodo has a good category; to describe the difficulties of students in working the problems of mathematical literacy ability oriented PISA. This research is a mixed methods study. The population was seventh grade students of Junior High School 19, Semarang Indonesia. Sample selection is done by random sampling so that the selected experimental class 1, class 2 and the control experiment. Data collected by the methods of documentation, tests and interviews. From the results of this study showed average mathematics literacy ability of students in the group PBL models with a PMRI approach assisted E-learning Edmodo better than average mathematics literacy ability of students in the group PBL models with a PMRI approach and better than average mathematics literacy ability of students in the expository models; Mathematics literacy ability in the class using the PBL model with a PMRI approach assisted E-learning Edmodo have increased and the improvement of mathematics literacy ability is higher than the improvement of mathematics literacy ability of class that uses the model of PBL learning with PMRI approach and is higher than the improvement of mathematics literacy ability of class that uses the expository models; The quality of learning using PBL models with a PMRI approach assisted E-learning Edmodo have very good category.

  1. The limitations of mathematical modeling in high school physics education

    Science.gov (United States)

    Forjan, Matej

    The theme of the doctoral dissertation falls within the scope of didactics of physics. Theoretical analysis of the key constraints that occur in the transmission of mathematical modeling of dynamical systems into field of physics education in secondary schools is presented. In an effort to explore the extent to which current physics education promotes understanding of models and modeling, we analyze the curriculum and the three most commonly used textbooks for high school physics. We focus primarily on the representation of the various stages of modeling in the solved tasks in textbooks and on the presentation of certain simplifications and idealizations, which are in high school physics frequently used. We show that one of the textbooks in most cases fairly and reasonably presents the simplifications, while the other two half of the analyzed simplifications do not explain. It also turns out that the vast majority of solved tasks in all the textbooks do not explicitly represent model assumptions based on what we can conclude that in high school physics the students do not develop sufficiently a sense of simplification and idealizations, which is a key part of the conceptual phase of modeling. For the introduction of modeling of dynamical systems the knowledge of students is also important, therefore we performed an empirical study on the extent to which high school students are able to understand the time evolution of some dynamical systems in the field of physics. The research results show the students have a very weak understanding of the dynamics of systems in which the feedbacks are present. This is independent of the year or final grade in physics and mathematics. When modeling dynamical systems in high school physics we also encounter the limitations which result from the lack of mathematical knowledge of students, because they don't know how analytically solve the differential equations. We show that when dealing with one-dimensional dynamical systems

  2. Mathematics education practice in Nigeria: Its impact in a post-colonial era

    Science.gov (United States)

    Enime, Noble O. J.

    This qualitative research method of study examined the impacts of the Nigerian pre-independence era Mathematics Education Practice on the Post-Colonial era Mathematics Education Practice. The study was designed to gather qualitative information related to Pre-independence and Postcolonial era data related to Mathematics Education Practice in Nigeria (Western, Eastern and the Middle Belt) using interview questions. Data was collected through face to face interviews. Over ten themes emerged from these qualitative interview questions when data was analyzed. Some of the themes emerging from the sub questions were as follows. "Mentally mature to understand the mathematics" and "Not mentally mature to understand the mathematics", "mentally mature to understand the mathematics, with the help of others" and "Not Sure". Others were "Contented with Age of Enrollment" and "Not contented with Age of Enrollment". From the questions of type of school attended and liking of mathematics the following themes emerged: "Attended UPE (Universal Primary Education) and understood Mathematics", and "Attended Standard Education System and did not like Mathematics". Connections between the liking of mathematics and the respondents' eventual careers were seen through the following themes that emerged. "Biological Sciences based career and enjoyed High School Mathematics Experience", "Economics and Business Education based career and enjoyed High School Mathematics Experience" and five more themes. The themes, "Very helpful" and "Unhelpful" emerged from the question concerning parents and students' homework. Some of the themes emerging from the interviews were as follows: "Awesome because of method of Instruction of Mathematics", "Awesome because Mathematics was easy", "Awesome because I had a Good Teacher or Teachers" and four other themes, "Like and dislike of Mathematics", "Heavy work load", "Subject matter content" and "Rigor of instruction". More emerging themes are presented in this

  3. Educational Cloud Services and the Mathematics Confidence, Affective Engagement, and Behavioral Engagement of Mathematics Education Students in Public University in Benue State, Nigeria

    Science.gov (United States)

    Iji, Clement Onwu; Abah, Joshua Abah; Anyor, Joseph Wuave

    2018-01-01

    This study investigated the impact of cloud services on mathematics education students' mathematics confidence, affective engagement, and behavioral engagement in public universities in Benue State, Nigeria. Ex-post facto research design was adopted for the study. The instrument for the study was the researcher-developed Cloud Services Mathematics…

  4. Mathematical Aspects of Educating Architecture Designers: A College Study

    Science.gov (United States)

    Verner, I. M.; Maor, S.

    2005-01-01

    This paper considers a second-year Mathematical Aspects in Architectural Design course, which relies on a first-year mathematics course and offers mathematical learning as part of hands-on practice in architecture design studio. The 16-hour course consisted of seminar presentations of mathematics concepts, their application to covering the plane…

  5. Modelling and applications in mathematics education the 14th ICMI study

    CERN Document Server

    Galbraith, Peter L; Niss, Mogens

    2007-01-01

    The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

  6. Mathematical Creativity: Psychology, Progress and Caveats

    Science.gov (United States)

    Sriraman, Bharath

    2017-01-01

    The aim of this paper is to provide a concise survey of advances in the study of the psychology of creativity, with an emphasis on literature that is typically not cited in mathematics education. In spite of claims that mathematical creativity is an ill-defined area of inquiry in mathematics education, the literature from psychology can serve as…

  7. Turning Points: Using Teachers' Mathematics Life Stories to Understand the Implementation of Mathematics Education Reform

    Science.gov (United States)

    Drake, Corey

    2006-01-01

    In this study, teachers' narrative descriptions of themselves as learners and teachers of mathematics were used to understand teachers' interpretations and implementations of a reform-oriented mathematics curriculum. Twenty elementary school teachers' mathematics life stories were categorized into six types, based on teachers' descriptions of both…

  8. Final Commentary to the Cross-Disciplinary Thematic Special Series: Special Education and Mathematics Education

    Science.gov (United States)

    Woodward, John; Tzur, Ron

    2017-01-01

    Four studies into characteristics and instructional needs of students with learning disabilities are summarized in this article. These studies are also reviewed in the wider context of mathematics intervention research in special education. These studies generally rely on qualitative methodology, and they are best understood in light of a…

  9. The Role of Environmental Education in Compulsory Education: The Case of Mathematics Textbooks in Greece

    Science.gov (United States)

    Spiropoulou, Dimitra; Roussos, George; Voutirakis, John

    2005-01-01

    School plays an important role in the formation of children's positive attitudes towards the environment. Mathematics textbooks also play an important role in environmental education, because environmental problems have two distinct features: the quality and the quantity of environmental resources. It is well known that as students go higher in…

  10. Gender Bias in Higher Education: Spanish Doctoral Dissertations in Mathematics Education

    Science.gov (United States)

    Vallejo, Mónica; Torralbo, Manuel; Fernández-Cano, Antonio

    2016-01-01

    This article reviews the results of a quantitative study that provides evidence of gender biases in relation to women in the field of Spanish mathematics education. For this purpose, doctoral dissertations produced in Spain and defended in Spanish universities between 1970 and 2014 were subjected to exhaustive analysis. Focusing on gender, the…

  11. Promoting Equity in Mathematics Teacher Preparation: A Framework for Advancing Teacher Learning of Children's Multiple Mathematics Knowledge Bases

    Science.gov (United States)

    Turner, Erin E.; Drake, Corey; McDuffie, Amy Roth; Aguirre, Julia; Bartell, Tonya Gau; Foote, Mary Q.

    2012-01-01

    Research repeatedly documents that teachers are underprepared to teach mathematics effectively in diverse classrooms. A critical aspect of learning to be an effective mathematics teacher for diverse learners is developing knowledge, dispositions, and practices that support building on children's mathematical thinking, as well as their cultural,…

  12. Open access web technology for mathematics learning in higher education

    Directory of Open Access Journals (Sweden)

    Mari Carmen González-Videgaray

    2016-05-01

    Full Text Available Problems with mathematics learning, “math anxiety” or “statistics anxiety” among university students can be avoided by using teaching strategies and technological tools. Besides personal suffering, low achievement in mathematics reduces terminal efficiency and decreases enrollment in careers related to science, technology and mathematics. This paper has two main goals: 1 to offer an organized inventory of open access web resources for math learning in higher education, and 2 to explore to what extent these resources are currently known and used by students and teachers. The first goal was accomplished by running a search in Google and then classifying resources. For the second, we conducted a survey among a sample of students (n=487 and teachers (n=60 from mathematics and engineering within the largest public university in Mexico. We categorized 15 high-quality web resources. Most of them are interactive simulations and computer algebra systems. ResumenLos problemas en el aprendizaje de las matemáticas, como “ansiedad matemática” y “ansiedad estadística” pueden evitarse si se usan estrategias de enseñanza y herramientas tecnológicas. Además de un sufrimiento personal, el bajo rendimiento en matemáticas reduce la eficiencia terminal y decrementa la matrícula en carreras relacionadas con ciencia, tecnología y matemáticas. Este artículo tiene dos objetivos: 1 ofrecer un inventario organizado de recursos web de acceso abierto para aprender matemáticas en la universidad, y 2 explorar en qué medida estos recursos se usan actualmente entre alumnos y profesores. El primer objetivo se logró con un perfil de búsqueda en Google y una clasificación. Para el segundo, se condujo una encuesta en una muestra de estudiantes (n=487 y maestros (n=60 de matemáticas e ingeniería de la universidad más grande de México. Categorizamos 15 recursos web de alta calidad. La mayoría son simulaciones interactivas y

  13. Guidebook to excellence, 1994: A directory of federal resources for mathematics and science education improvement

    Energy Technology Data Exchange (ETDEWEB)

    1994-04-01

    The purpose of this Guidebook to Excellence is to assist educators, parents, and students across the country in attaining the National Education Goals, particularly Goal 4: By the year 2000, US students will be first in the world in science and mathematics achievement. The Guidebook will help make the education community aware of the Federal Government`s extensive commitment to mathematics and science education. Sixteen Federal agencies collaborated with the Eisenhower National Clearinghouse to produce this publication. Although the Guidebook contains valuable information for anyone involved in mathematics and science education, its focus is on the elementary and secondary levels.

  14. Impact of High Mathematics Education on the Number Sense

    Science.gov (United States)

    Castronovo, Julie; Göbel, Silke M.

    2012-01-01

    In adult number processing two mechanisms are commonly used: approximate estimation of quantity and exact calculation. While the former relies on the approximate number sense (ANS) which we share with animals and preverbal infants, the latter has been proposed to rely on an exact number system (ENS) which develops later in life following the acquisition of symbolic number knowledge. The current study investigated the influence of high level math education on the ANS and the ENS. Our results showed that the precision of non-symbolic quantity representation was not significantly altered by high level math education. However, performance in a symbolic number comparison task as well as the ability to map accurately between symbolic and non-symbolic quantities was significantly better the higher mathematics achievement. Our findings suggest that high level math education in adults shows little influence on their ANS, but it seems to be associated with a better anchored ENS and better mapping abilities between ENS and ANS. PMID:22558077

  15. Advanced Education and Technology Business Plan, 2010-13. Highlights

    Science.gov (United States)

    Alberta Advanced Education and Technology, 2010

    2010-01-01

    The Ministry of Advanced Education and Technology envisions Alberta's prosperity through innovation and lifelong learning. Advanced Education and Technology's mission is to lead the development of a knowledge-driven future through a dynamic and integrated advanced learning and innovation system. This paper presents the highlights of the business…

  16. The `M' in SMEC: a short history of the mathematics education presence

    Science.gov (United States)

    Malone, John A.

    2011-09-01

    In this paper I examine the history of the integration of mathematics education into the Science Education Centre, which had been established by physicist, John de Laeter, within the School of Science and Engineering at Curtin University in Perth, Australia. De Laeter's vision for science education was that teachers should have access to professional education that allowed them to extend their discipline and pedagogical knowledge using strategies that brought together theory and practice in ways that were meaningful for teachers. This model was expanded when mathematics education was also included, paving the way also for technology education. I present the history of this integration laying out the themes that are important for the continued educational effectiveness of the Science and Mathematics Education Centre (SMEC) and the role that mathematics education has played in this process. As the title suggests, this article focuses on the activities of the group of mathematics educators who have worked within the Science and Mathematics Education Centre of Curtin University since it was established 30 or so years ago and who have contributed to its reputation. The two streams operated then and now more-or-less independently in matters of student thesis topic choice but offered students opportunities for interaction that might not have been available if the "M" had not been incorporated into the Science Education Centre (SEC). This article's focus is on the mathematics educators who contributed to the Centre's success and reputation, highlighting the synergistic relationship between mathematics and science that helped to make SMEC a leading center for mathematics and science education.

  17. Multi-band effective mass approximations advanced mathematical models and numerical techniques

    CERN Document Server

    Koprucki, Thomas

    2014-01-01

    This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects. The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used wit...

  18. Dispositions in the Field: Viewing Mathematics Teacher Education through the Lens of Bourdieu's Social Field Theory

    Science.gov (United States)

    Nolan, Kathleen

    2012-01-01

    Mathematics teacher educators are confronted with numerous challenges and complexities as they work to inspire prospective teachers to embrace inquiry-based pedagogies. The research study described in this paper asks what a teacher educator and faculty advisor can learn from prospective secondary mathematics teachers as they construct (and are…

  19. CASCADE-IMEI: Web site support for student teachers learning Realistic Mathematics Education (RME) in Indonesia

    NARCIS (Netherlands)

    Zulkardi, Z.; Nieveen, N.M.

    2001-01-01

    CASCADE-IMEI is a learning environment in the form of a face-to-face course and a web site (www.cascadeimei.com) which aims to support student teachers in Indonesia to learn Realistic Mathematics Education (RME). RME is an instructional theory in mathematics education that was originally developed

  20. Helping Early Childhood Educators to Understand and Assess Young Children's Mathematical Minds

    Science.gov (United States)

    Ginsburg, Herbert P.

    2016-01-01

    This issue of "ZDM Mathematics Education" focuses on the formative assessment of young children's mathematical thinking, with an emphasis on computer-based approaches drawing upon on cognitive and educational research. The authors discuss several different assessment methods, including clinical interviewing, observation, and testing,…

  1. Mathematics Educators' Views about Globalization and Internationalization of Their Discipline: Preliminary Findings.

    Science.gov (United States)

    Atweh, Bill; Clarkson, Philip

    This paper summarizes initial data from a study that investigates issues in internationalization and globalization of mathematics education in two regions: Australasia and Latin America. The first stage of study employed the methodology of focus groups with mathematics educators from Australia, New Zealand, Mexico and Colombia. The paper present…

  2. Effectiveness of Computer-Assisted Mathematics Education (CAME) over Academic Achievement: A Meta-Analysis Study

    Science.gov (United States)

    Demir, Seda; Basol, Gülsah

    2014-01-01

    The aim of the current study is to determine the overall effects of Computer-Assisted Mathematics Education (CAME) on academic achievement. After an extensive review of the literature, studies using Turkish samples and observing the effects of Computer-Assisted Education (CAE) on mathematics achievement were examined. As a result of this…

  3. Examining Student Opinions on Computer Use Based on the Learning Styles in Mathematics Education

    Science.gov (United States)

    Ozgen, Kemal; Bindak, Recep

    2012-01-01

    The purpose of this study is to identify the opinions of high school students, who have different learning styles, related to computer use in mathematics education. High school students' opinions on computer use in mathematics education were collected with both qualitative and quantitative approaches in the study conducted with a survey model. For…

  4. A Collaborative Endeavour between Mathematics and Science Educators: Focus on the Use of Percent in Chemistry

    Science.gov (United States)

    Ramful, Ajay; Bedgood, Danny; Lowrie, Thomas

    2016-01-01

    This paper is the outcome of a collaborative endeavour between mathematics and science educators where the insight from each field mutually informed one another. Specifically, building on the knowledge base from mathematics education research, this study analyses the ways in which percent is interpreted by first year university students in general…

  5. Marketing an Alternate Model for Science and Mathematics Initial Teacher Education

    Science.gov (United States)

    Seen, Andrew; Fraser, Sharon P.; Beswick, Kim; Penson, Margaret; Whannell, Robert

    2016-01-01

    An innovative initial teacher education undergraduate degree has been offered for the first time in 2016 at an Australian University. The degree provides for qualification as a secondary science and mathematics teacher through the completion of a four-year-integrated science, mathematics and education program of study where the synergies available…

  6. Sociological Tools in the Study of Knowledge and Practice in Mathematics Teacher Education

    Science.gov (United States)

    Parker, Diane; Adler, Jill

    2014-01-01

    In this paper, we put Basil Bernstein's theory of pedagogic discourse to work together with additional theoretical resources to interrogate knowledge and practice in mathematics teacher education. We illustrate this methodology through analysis of an instance of mathematics teacher education pedagogic practice. While the methodology itself is…

  7. Research on Mathematics and Science Education: From Beliefs to Cognition, from Problem Solving to Understanding.

    Science.gov (United States)

    Ahtee, Maija, Ed.; Bjorkqvist, Ole, Ed.; Pehkonen, Erkki, Ed.; Vatanen, Virpi, Ed.

    This book contains selected research papers presented at seminars held throughout the year 2000 in Finland by members of the Finnish Association for Research in Mathematics and Science Education (FARMSE) and students at the Finnish Graduate School of Mathematics, Physics, and Chemistry Education. This volume also contains papers professor Laurence…

  8. What Could Critical Mathematics Education Mean for Different Groups of Students?

    Science.gov (United States)

    Skovsmose, Ole

    2016-01-01

    In this article I consider what critical mathematics education could mean for different groups of students. Much discussion and research has addressed students at social risk. My point, however, is that critical mathematics education concerns other groups as well: for example, students in comfortable positions, blind students, elderly students,…

  9. Family Involvement in Children's Mathematics Education Experiences: Voices of Immigrant Chinese American Students and Their Parents

    Science.gov (United States)

    Liang, Senfeng

    2013-01-01

    This study examines ways in which Chinese immigrant families are involved in their children's mathematics education, particularly focusing on how different types of families utilize different forms of capital to support their children's mathematics education. The theoretical framework defines four types of Chinese immigrant families--working…

  10. Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.

    Science.gov (United States)

    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…

  11. Discourse Research in Mathematics Education: A Critical Evaluation of 108 Journal Articles

    Science.gov (United States)

    Ryve, Andreas

    2011-01-01

    There has been increased engagement in studying discourse in the field of mathematics education. But what exactly is a discourse, and how do researchers go about analyzing discourses? This study examines 108 articles from 6 international journals in mathematics education by asking questions such as these: In which traditions and in relation to…

  12. The Effectiveness of Educational Technology Applications for Enhancing Mathematics Achievement in K-12 Classrooms: A Meta-Analysis. Educator's Summary

    Science.gov (United States)

    Center for Research and Reform in Education, 2012

    2012-01-01

    This review summarizes research on the effects of technology use on mathematics achievement in K-12 classrooms. The main research questions included: (1) Do education technology applications improve mathematics achievement in K-12 classrooms as compared to traditional teaching methods without education technology?; and (2) What study and research…

  13. Mathematical Identity in Women: The Concept, Its Components and Relationship to Educative Ability, Achievement and Family Support

    Science.gov (United States)

    Axelsson, Gun B. M.

    2009-01-01

    Mathematical identity and its relationship to mathematical achievement, educative ability and study support were studied among 133 women enrolled in the Swedish adult education system. A model of mathematical identity was constructed including self-perceived mathematical knowledge, ability, motivation and anxiety. This model was transformed into a…

  14. The Use of Computers in Mathematics Education: A Paradigm Shift from "Computer Assisted Instruction" towards "Student Programming"

    Science.gov (United States)

    Aydin, Emin

    2005-01-01

    The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…

  15. Educational Changes to Support Advanced Practice Nursing Education.

    Science.gov (United States)

    LeFlore, Judy L; Thomas, Patricia E

    2016-01-01

    Educational factors limit the number of advanced practice registered nurse (APRN) graduates to meet the growing workforce demands. Healthcare dynamics are necessitating a shift in how nursing education envisions, creates, and implements clinical learning opportunities. The current clinical education model in APRN programs continues to be the same as it was 45 years ago when the student numbers were much smaller. New approaches in graduate nursing education are needed to address the shortage of APRNs in primary and acute care areas. Determining competency based on the number of clinical hours can be inefficient, ineffective, and costly and limits the ability to increase capacity. Little research exists in graduate nursing education to support the effectiveness and efficiency of current hours of clinical required for nurse practitioner students. Simulation and academic-practice partnership models can offer innovative approaches to nurse practitioner education for clinical training, with the goal of producing graduates who can provide safe, quality care within the complex practice-based environment of the nation's evolving healthcare system.

  16. Contributions from sociology of science to mathematics education in Brazil: logic as a system of beliefs

    Science.gov (United States)

    de Andrade, Thales Haddad Novaes; Vilela, Denise Silva

    2013-09-01

    In Brazil, mathematics education was associated with Jean Piaget's theory. Scholars in the field of education appropriated Piaget's work in different ways, but usually emphasized logical aspects of thought, which probably lead to an expansion of mathematics education influenced by psychology. This study attempts to extend the range of interlocutions and pose a dialogue between the field of mathematics education in Brazil and the sociology of science proposed by David Bloor. The main point of Bloor's theory is that logical-mathematical knowledge is far from being true and universal and is socially conditioned. In particular we will be discussing the first principle of the strong program, which deals with conditions that generate beliefs promoted by education policies in Brazil, such as the MEC/USAID treaties. In this case the "naturalization of logic" was stimulated by a widespread diffusion of both Piaget studies and the Modern Mathematics Movement.

  17. Physics and Mathematics as Interwoven Disciplines in Science Education

    Science.gov (United States)

    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.

  18. Mathematics

    CERN Document Server

    Stein, Sherman K

    2010-01-01

    Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi

  19. Project Kaleidoscope: Advancing What Works in Undergraduate STEM Education

    Science.gov (United States)

    Elrod, S.

    2011-12-01

    In 1989, Project Kaleidoscope (PKAL) published its first report, What Works: Building Natural Science Communities, on reforming undergraduate STEM (science, technology, engineering and mathematics) education. Since then, PKAL has grown into a national organization comprised of a diverse group of over 6500 STEM educators who are committed to advancing "what works." The PKAL mission is to be a national leader in catalyzing the efforts of people, institutions, organizations and networks to move from analysis to action in significantly improving undergraduate student learning and achievement in STEM (science, technology, engineering and mathematics). Specifically, PKAL's strategic goals are to: 1) Promote the development and wider use of evidence-based teaching, learning and assessment approaches, 2) Build individual and organizational capacity to lead change in STEM education, and 3) Engage the broader community of external stakeholders - professional and disciplinary societies, business and industry groups, accreditation organizations, educational associations, governmental agencies, philanthropic organizations - in achieving our mission. PKAL achieves these goals by serving as the nexus of an interconnected and multidisciplinary web of people, ideas, strategies, evidence and resources focused on systemic change in undergraduate STEM education. PKAL also provides resources on critical issues, such as teaching using pedagogies of engagement, and engages interested faculty, campuses and professional societies in national projects and programs focused on cutting edge issues in STEM education. One of these projects - Mobilizing Disciplinary Societies for a Sustainable Future - is engaging eleven disciplinary societies, including the National Association of Geoscience Teachers, in defining specific resources, faculty development programs and goals focused on promoting undergraduate STEM courses that: 1) provide more knowledge about real-world issues; 2) connect these real

  20. Conceptions of Mathematics and Student Identity: Implications for Engineering Education

    Science.gov (United States)

    Craig, Tracy S.

    2013-01-01

    Lecturers of first-year mathematics often have reason to believe that students enter university studies with naïve conceptions of mathematics and that more mature conceptions need to be developed in the classroom. Students' conceptions of the nature and role of mathematics in current and future studies as well as future career are pedagogically…

  1. Innovative trends in mathematics education: Implications for global ...

    African Journals Online (AJOL)

    Acquisition of Mathematical knowledge and skills requires effective teaching and learning. The traditional method of teaching that is usually adopted by Mathematics Teachers has been identified as one of the causes of students' poor performance Mathematics. However, adoptions of innovative strategies have been ...

  2. Mathematics Education in Lebanon: Gender Differences in Attitudes and Achievement

    Science.gov (United States)

    Sarouphim, Ketty M.; Chartouny, Madona

    2017-01-01

    The purpose of this study was to investigate gender differences in students' mathematics achievement and in their attitudes toward mathematics. Another purpose was to examine mathematics teachers' beliefs and their perceptions of their male and female students' ability. The sample consisted of 692 students (353 girls, 339 boys) between the ages of…

  3. Mathematics and evolutionary biology make bioinformatics education comprehensible.

    Science.gov (United States)

    Jungck, John R; Weisstein, Anton E

    2013-09-01

    The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes-the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software-the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a 'two-culture' problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses.

  4. Mathematics and evolutionary biology make bioinformatics education comprehensible

    Science.gov (United States)

    Weisstein, Anton E.

    2013-01-01

    The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes—the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software—the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a ‘two-culture’ problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses. PMID:23821621

  5. Views of Elementary School Pre-Service Teachers About the Use of Educational Mathematics Games in Mathematics Teaching

    Directory of Open Access Journals (Sweden)

    Hasan Topçu

    2014-08-01

    Full Text Available The aim of this study was to reveal the opinions of elementary school pre-service teachers about the usage of educational mathematics games in elementary mathematics teaching. In this study, case study that, one of qualitative research methods, was used. Data were collected by utilizing a semi-structured interview form to these elementary school pre-service teachers and analyzed using by content analysis method. A total of 10 junior pre-service teachers enrolled in undergraduate programs of elementary teaching attended to this research. In conclusion, these pre-service teachers indicated that educational computer games would provide benefits such as making students’ learning more permanent, visualizing concepts, making students love mathematics, learning by entertaining, reinforcing what has been learnt and developing thinking skills. Nevertheless, these elementary school pre-service teachers stated the limitations about educational computer games such as causing addiction and physical damages, being time-consuming, requiring special equipment and software and making class management difficult. Besides, it was revealed that the pre-service teachers demonstrated positive attitudes towards the use of games in courses while that they did not feel themselves competent in terms of application.Key Words:    Educational computer games, mathematics teaching, elementary school pre-service teachers

  6. Chinese Upper Elementary School Mathematics Teachers' Attitudes towards the Place and Value of Problematic Word Problems in Mathematics Education

    Science.gov (United States)

    Duan, Xiaofang; Depaepe, Fien; Verschaffel, Lieven

    2011-01-01

    Word problems play a crucial role in mathematics education. However, the authenticity of word problems is quite controversial. In terms of the necessity of realistic considerations to be taken into account in the solution process, word problems have been classified into two categories: standard word problems (S-items) and problematic word problems…

  7. Mathematics

    International Nuclear Information System (INIS)

    Demazure, M.

    1988-01-01

    The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr

  8. Opening the research text critical insights and in(ter)ventions into mathematics education

    CERN Document Server

    de Freitas, Elizabeth

    2008-01-01

    In this chapter we interrogate the debate between mathematicians and mathematics educators. This debate is widely recognized in the United States, for instance, where the term 'math wars' is often used in reference to the heated disagreements between mathematicians and mathematics edu- tors. Such recognition might suggest that this topic itself has relevance both for the academy and for educational policy pertaining to mathematics edu- tion. We propose to locate this debate, unavoidably, whenever and wherever mathematics education is written. Our aim is to show how the debate itself gives rise to the inscription mathematics education. Indeed, we contend that 'mathematics education' cannot be defined outside of, or prior to, the debate, for it is precisely through the debate that it is constituted as a domain for 1 deliberation. The debate is more primordial than any epistémè or domain implied by it. In other words, we argue that mathematics and mathematics education do not exist epistemically prior to the d...

  9. Using realistic mathematics education and the DAPIC problem-solving process to enhance secondary school students' mathematical literacy

    Directory of Open Access Journals (Sweden)

    Sunisa Sumirattana

    2017-09-01

    This study was based on research and development design. The main purposes of this study were to develop an instructional process for enhancing mathematical literacy among students in secondary school and to study the effects of the developed instructional process on mathematical literacy. The instructional process was developed by analyzing and synthesizing realistic mathematics education and the DAPIC problem-solving process. The developed instructional process was verified by experts and was trialed. The designated pre-test/post-test control method was used to study the effectiveness of the developed instructional process on mathematical literacy. The sample consisted of 104 ninth grade students from a secondary school in Bangkok, Thailand. The developed instructional process consisted of five steps, namely (1 posing real life problems, (2 solving problems individually or in a group, (3 presenting and discussing, (4 developing formal mathematics, and (5 applying knowledge. The mathematical literacy of the experimental group was significantly higher after being taught through the instructional process. The same results were obtained when comparing the results of the experimental group with the control group.

  10. Learning Mathematics or Losing Money--Betting as a Topic for Mathematical Education

    Science.gov (United States)

    Siller, Hans-Stefan; MaaB, Jurgen

    2012-01-01

    No risk, no fun--betting on sports events costs the gamblers a lot of money and brings excellent profits to those who offer the bets. Among the people who bet on a regular basis, the proportion of young adults is frighteningly high. We now suggest a concept (as part of a basic mathematics course) for acquiring the necessary mathematical knowledge…

  11. The Community of Practice among Mathematics and Mathematics Education Faculty Members at an Urban Minority Serving Institution in the U.S.

    Science.gov (United States)

    Sack, Jacqueline; Quander, Judith; Redl, Timothy; Leveille, Nancy

    2016-01-01

    Using narrative inquiry as a research method, four mathematics and mathematics education faculty members explored the integration of theoretical perspectives into their personal narratives as they developed a community of practice. Initially their focus was strictly on improving their students' mathematical knowledge. As their community of…

  12. Quantum Mechanics: Fundamentals; Advanced Quantum Mechanics; Mathematical Concepts of Quantum Mechanics

    International Nuclear Information System (INIS)

    Whitaker, A

    2004-01-01

    second book under consideration, that of Schwabl, contains 'Advanced' elements of quantum theory; it is designed for a course following on from one for which Gottfried and Yan, or Schwabl's own 'Quantum Mechanics' might be recommended. Many useful student problems are included. The presentation is said to be rigorous, but again this is a book for the physicist rather than the mathematician. The third book under consideration, that by Gustafson and Sigal is very different from the others. In academic level, at least the initial sections may actually be slightly lower; the book covers a one-term course taken by senior undergraduates or junior graduate students in mathematics or physics, and the initial chapters are on basic topics, such as the physical background, basic dynamics, observables and the uncertainty principle. However the level of mathematical sophistication is far higher than in the other books. While the mathematical prerequisites are modest, a third of the book is made up of what are called mathematical supplements. On the basis of these supplements, the level of mathematical sophistication and difficulty is increased substantially in the middle section of the book, where the topics considered are many-particle systems, density matrices, positive temperatures, the Feynman path integral, and quasi-classical analysis, and there is a final substantial step for the concluding chapters on resonances, an introduction to quantum field theory, and quantum electrodynamics of non-relativistic particles. A supplementary chapter contains an interesting approach to the renormalization group due to Bach, Froehlich and Sigal himself. This book is well-written, and the topics discussed have been well thought-out. It would provide a useful approach to quantum theory for the mathematician, and would also provide access for the physicist to some mathematically advanced methods and topics, but the physicist would definitely have to be prepared to work hard at the mathematics

  13. Quality Assurance in Educational Administration in the Teaching of Farm Mathematics for National Integration in Nigeria

    Science.gov (United States)

    Enemali, I. A.; Adah, Obe Christopher

    2015-01-01

    Farm mathematics, an aspect of agricultural science education is being taught in our educational institutions in the country. This effort is to enhance agricultural productivity and quality of agricultural science education for national integration. For the realization of this, a quality assured educational administration is vital. The paper…

  14. Suited for Spacewalking: A Teacher's Guide with Activities for Technology Education, Mathematics, and Science

    Science.gov (United States)

    Vogt, Gregory L.; George, Jane A. (Editor)

    1998-01-01

    A Teacher's Guide with Activities for Technology Education, Mathematics, and Science National Aeronautics and Space Administration Office of Human Resources and Education Education Division Washington, DC Education Working Group NASA Johnson Space Center Houston, Texas This publication is in the Public Domain and is not protected by copyright. Permission is not required for duplication.

  15. Rethinking the mathematics curriculum

    CERN Document Server

    Hoyles, Celia; Woodhouse, Geoffrey

    1998-01-01

    At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.

  16. Luminaires for Advanced Lighting in Education

    Energy Technology Data Exchange (ETDEWEB)

    Davis, J. Lynn [RTI International, Research Triangle Park, NC (United States)

    2017-06-29

    Evolving education methods and greater use of technology in the classroom are dictating the need to rethink facility designs, including classroom lighting. Advances in LED-based lighting technology have created the possibility of lighting systems that are not only cost effective and energy efficient, but also color-tunable and as durable as other facility infrastructures (a 20-30 year life expectancy). Thus, there is the opportunity that the modern lighting system can be used by educators as a tool in their teaching strategy. To meet this need, RTI International and Finelite, Inc. teamed to develop and test the Next Generation Integrated Classroom Lighting System (NICLS). The NICLS technology incorporates a high performance, color-tunable light engine into new luminaire designs (e.g., pendant, direct-indirect, downlight, troffers) that are acceptable for use in classrooms. During this project, we successfully demonstrated that the NICLS technology achieves exceptional performance and exceeds all DOE goals for the classroom of the future, including: Luminous efficacy value for NICLS luminaires in excess of 125 lpw at all CCT values; TWL range of 2,700 K to 6,500 K while maintaining a CRI of 82 or higher at all values; Capability for full-range dimming (100% to 1%) at all CCT values with flicker levels below industry guidelines; Performance of the lighting system in a classroom mock-up, incorporating daylight and occupancy sensing to provide automatic control of lighting zones to further reduce energy consumption; Rated lifetime on the system exceeding 50,000 hours with a lumen maintenance of at least 85% at 50,000 hours; and Teacher-focused UI located at the front of the classroom to operate the lighting system. A smartphone-based UI is also available to accommodate teacher movement in the classroom. A critical element of developing this technology is designing the user interface to be compatible with modern teaching methods, including increased use of icons and

  17. Think Pair Share Using Realistic Mathematics Education Approach in Geometry Learning

    Science.gov (United States)

    Afthina, H.; Mardiyana; Pramudya, I.

    2017-09-01

    This research aims to determine the impact of mathematics learning applying Think Pair Share (TPS) using Realistic Mathematics Education (RME) viewed from mathematical-logical intelligence in geometry learning. Method that used in this research is quasi experimental research The result of this research shows that (1) mathematics achievement applying TPS using RME approach gives a better result than those applying direct learning model; (2) students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low one, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one; (3) there is no interaction between learning model and the level of students’ mathematical-logical intelligence in giving a mathematics achievement. The impact of this research is that TPS model using RME approach can be applied in mathematics learning so that students can learn more actively and understand the material more, and mathematics learning become more meaningful. On the other hand, internal factors of students must become a consideration toward the success of students’ mathematical achievement particularly in geometry material.

  18. ‘Whys’ and ‘Hows’ of Using Philosophy in Mathematics Education

    DEFF Research Database (Denmark)

    Thomas Jankvist, Uffe; Iversen, Steffen Møllegaard

    2014-01-01

    The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories...... approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones....... of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination...

  19. The Comparison of Think Talk Write and Think Pair Share Model with Realistic Mathematics Education Approach Viewed from Mathematical-Logical Intelligence

    Directory of Open Access Journals (Sweden)

    Himmatul Afthina

    2017-12-01

    Full Text Available The aims of this research to determine the effect of Think Talk Write (TTW and Think Pair Share (TPS model with Realistic Mathematics Education (RME approach viewed from mathematical-logical intelligence. This research employed the quasi experimental research. The population of research was all students of the eight graders of junior high school in Karangamyar Regency in academic year 2016/2017. The result of this research shows that (1 TTW with RME approach gave better mathematics achievement than TPS with RME approach, (2 Students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one, (3 In TTW model with RME approach, students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average and low mathematical-logical intelligence gave same mathematics achievement, and  in TPS model with RME approach students with high mathematical-logical intelligence can reach a better mathematics achievement than those with average and low, whereas students with average mathematical-logical intelligence can reach a better achievement than those with low one (4 In each category of  mathematical-logical intelligence, TTW with RME approach and TPS with RME approach gave same mathematics achievement.

  20. Application of Mathematical Modeling Activities in Costarican High School Education

    Directory of Open Access Journals (Sweden)

    Karen Porras-Lizano

    2015-01-01

    Full Text Available This paper describes the experience gained in implementing mathematical modeling activities as a methodological strategy in teaching issues such as proportions, with a group of eighth year of an academic-day-school, located in the province of San Jose, Costa Rica in 2012. Different techniques for gathering information were applied, such as participant observation and questionnaires. Among the relevant results are the cyclical development of mathematical thinking of students in the stages of mathematical modeling (description, manipulation, prediction and validation for solving the problem; developing of teamwork skills; and appreciation of mathematics as a useful and effective discipline. To resolve the activities proposed in this study, social interactions such as sharing information, thoughts and ideas, were generated, stimulating the zone of proximal development of the participating students. Likewise, the mathematical modeling activities allowed students to have a positive role in mathematics classes, stimulating, in turn, a different attitude compared to regular classes.

  1. Technology-integrated Mathematics Education at the Secondary School Level

    Directory of Open Access Journals (Sweden)

    Hamdi Serin

    2017-06-01

    Full Text Available The potential of technological devices to enrich learning and teaching of Mathematics has been widely recognized recently. This study is founded on a case study that investigates how technology-related Mathematics teaching can enhance learning of Mathematical topics. The findings indicate that when teachers integrate technology into their teaching practices, students’ learning of Mathematics is significantly promoted. It was seen that the use of effective presentations through technological devices highly motivated the students and improved their mathematics achievement. This highlights that the availability of technological devices, teacher beliefs, easy access to resources and most importantly teacher skills of using technological devices effectively are decisive factors that can provide learners better understanding of mathematical concepts.

  2. Inferentialism as an alternative to socioconstructivism in mathematics education

    Science.gov (United States)

    Noorloos, Ruben; Taylor, Samuel D.; Bakker, Arthur; Derry, Jan

    2017-12-01

    The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another's commitments. The article argues that inferentialism can help to overcome certain problems that have plagued the various forms of constructivism, and socioconstructivism in particular. Despite the range of socioconstructivist positions on offer, there is reason to think that versions of these problems will continue to haunt socioconstructivism. The problems are that socioconstructivists (i) have not come to a satisfactory resolution of the social-individual dichotomy, (ii) are still threatened by relativism, and (iii) have been vague in their characterization of what construction is. We first present these problems; then we introduce inferentialism, and finally we show how inferentialism can help to overcome the problems. We argue that inferentialism (i) contains a powerful conception of norms that can overcome the social-individual dichotomy, (ii) draws attention to the reality that constrains our inferences, and (iii) develops a clearer conception of learning in terms of the mastering of webs of reasons. Inferentialism therefore represents a powerful alternative theoretical framework to socioconstructivism.

  3. Characteristic of critical and creative thinking of students of mathematics education study program

    Science.gov (United States)

    Rochmad; Agoestanto, A.; Kharis, M.

    2018-03-01

    Critical and creative thinking give important role in learning matematics for mathematics education students. This research to explored the characteristic of critical and creative thinking of students of mathematics study program in mathematics department. Critical thinking and creative thinking can be illustrated as two sides of a coin, which one is associated to the other. In elementary linear algebra courses, however, critical thinking can be seen as a foundation to build students’ creative thinking.

  4. Basic mathematical knowledge of students enrolling for Primary Education University degrees

    OpenAIRE

    Villarreal, Aitor

    2016-01-01

    Our main object of research is the mathematical knowledge of students who enrol at University to begin their degree in Primary School Teaching. By Basic Mathematical Knowledge (BMK) we understand the initial mathematical background we desire students to have at the start of their education to become Primary School teachers. In this paper we present a first approach to the notion of BMK and provide empirical data that justify the relevance of this concept as an element to evaluate and reflect ...

  5. Play-Based Mathematics Activities as a Resource for Changing Educator Attitudes and Practice

    Directory of Open Access Journals (Sweden)

    Caroline Cohrssen

    2016-05-01

    Full Text Available This multiple case study explored early childhood educators’ implementation of a suite of play-based mathematics activities with children aged 3 to 5 years in six different early childhood education and care programs in Melbourne, Australia. Educators approached the enactment of the activities differently; however, those educators who used the activities reasonably frequently and with attention to the underpinning mathematical concepts reported an increase in their self-confidence in supporting children’s mathematical thinking. For these educators, increasing self-confidence, in conjunction with children’s enthusiasm, led to increased frequency and further gains in self-confidence. Some educators did not implement the activities and no change in attitude was observed. New ways to support early childhood mathematics teaching practice, as a means to challenge entrenched attitudes and beliefs, are needed.

  6. Validation of an instrument for mathematics enhancement teaching efficacy of Pacific Northwest agricultural educators

    Science.gov (United States)

    Jansen, Daniel J.

    Teacher efficacy continues to be an important area of study in educational research. This study tested an instrument designed to assess the perceived efficacy of agricultural education teachers when engaged in lessons involving mathematics instruction. The study population of Oregon and Washington agricultural educators utilized in the validation of the instrument revealed important demographic findings and specific results related to teacher efficacy for the study population. An instrument was developed from the assimilation of three scales previously used and validated in efficacy research. Participants' mathematics teaching efficacy was assessed using a portion of the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and personal mathematics efficacy was evaluated by the mathematics self-belief instrument which was derived from the Betz and Hackett's Mathematics Self-Efficacy Scale. The final scale, the Teachers' Sense of Efficacy Scale (TSES) created by Tschannen-Moran and Woolfolk Hoy, examined perceived personal teaching efficacy. Structural equation modeling was used as the statistical analyses tool to validate the instrument and examine correlations between efficacy constructs used to determine potential professional development needs of the survey population. As part of the data required for validation of the Mathematics Enhancement Teaching Efficacy instrument, demographic information defining the population of Oregon and Washington agricultural educators was obtained and reported. A hypothetical model derived from teacher efficacy literature was found to be an acceptable model to verify construct validity and determine strength of correlations between the scales that defined the instrument. The instrument produced an alpha coefficient of .905 for reliability. Both exploratory and confirmatory factor analyses were used to verify construct and discriminate validity. Specifics results related to the survey population of agricultural educators

  7. From geometry to algebra and vice versa: Realistic mathematics education principles for analyzing geometry tasks

    Science.gov (United States)

    Jupri, Al

    2017-04-01

    In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems - considered as tasks inviting the use of problem solving and reasoning skills - theoretically in the light of the RME principles. Second, we tested two problems to 31 undergraduate students of mathematics education program and other two problems to 16 master students of primary mathematics education program. Finally, we analyzed student written work and compared these empirical to the theoretical results. We found that there are discrepancies between what we expected theoretically and what occurred empirically in terms of mathematization and of intertwinement of mathematical concepts from geometry to algebra and vice versa. We conclude that the RME principles provide a fruitful framework for analyzing geometry tasks that, for instance, are intended for assessing student problem solving and reasoning skills.

  8. Boundary crossing and brokering between disciplines in pre-service mathematics teacher education

    Science.gov (United States)

    Goos, Merrilyn; Bennison, Anne

    2017-12-01

    In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.

  9. Advanced Education and Technology Business Plan, 2009-12

    Science.gov (United States)

    Alberta Advanced Education and Technology, 2009

    2009-01-01

    The Ministry of Advanced Education and Technology consists of the following entities for budget purposes: Department of Advanced Education and Technology, the Access to the Future Fund, Alberta Enterprise Corporation, Alberta Research Council Inc., and iCORE Inc. Achieving the Ministry's goals involves the work and coordination of many…

  10. Advanced Education and Technology Business Plan, 2008-11

    Science.gov (United States)

    Alberta Advanced Education and Technology, 2008

    2008-01-01

    The Ministry of Advanced Education and Technology's 2008-11 business plan identifies how it plans to work over the next three years to enhance advanced learning opportunities and innovation for all Albertans. Alberta's advanced learning system is composed of public board-governed institutions, the apprenticeship and industry training system,…

  11. My Entirely Plausible Fantasy: Early Mathematics Education in the Age of the Touchscreen Computer

    Science.gov (United States)

    Ginsburg, Herbert P.

    2014-01-01

    This paper offers an account of what early mathematics education could look like in an age of young digital natives. Each "Tubby," as the tablets are called, presents Nicole (our generic little child) with stimulating mathematics microworlds, from which, beginning at age 3, she can learn basic math concepts, as well as methods of…

  12. Addressing Dilemmas of Social Justice Mathematics Instruction through Collaboration of Students, Educators, and Researchers

    Science.gov (United States)

    Kokka, Kari

    2015-01-01

    Social justice mathematics educators explicitly aim to develop students' sociopolitical consciousness in addition to teaching mathematics content (Gutiérrez 2013; Gutstein 2006). Sociopolitical consciousness refers to Paulo Freire's (1970) concept of "conscientização," or learning to perceive social, political, and economic…

  13. Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education

    Science.gov (United States)

    Meletiou-Mavrotheris, Maria, Ed.; Mavrou, Katerina, Ed.; Paparistodemou, Efi, Ed.

    2015-01-01

    Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. "Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education" presents…

  14. Survey Team On: Conceptualisation of the Role of Competencies, Knowing and Knowledge in Mathematics Education Research

    Science.gov (United States)

    Niss, Mogens; Bruder, Regina; Planas, Núria; Turner, Ross; Villa-Ochoa, Jhony Alexander

    2016-01-01

    This paper presents the outcomes of the work of the ICME 13 Survey Team on "Conceptualisation and the role of competencies, knowing and knowledge in mathematics education research". It surveys a variety of historical and contemporary views and conceptualisations of what it means to master mathematics, focusing on notions such as…

  15. Using the Construct of the Didactic Contract to Understand Student Transition into University Mathematics Education

    Science.gov (United States)

    Pepin, Birgit

    2014-01-01

    In this article the concept of the Didactic Contract is used to investigate student "transition" from upper secondary into university mathematics education. The findings are anchored in data from the TransMaths project, more particularly the case of an ethnic minority student's journey from his school to a university mathematics course…

  16. Improving Mathematics Teacher Education in Germany: Empirical Results from a Longitudinal Evaluation of Innovative Programs

    Science.gov (United States)

    Buchholtz, Nils; Kaiser, Gabriele

    2013-01-01

    Innovative programs for restructuring the entry phase of mathematics teacher education programs have been implemented at various German universities within the last few years. This article reports about the design and the results of a longitudinal evaluation study of the effectiveness of two of these programs aiming to improve mathematics teacher…

  17. Breaking the Constraints of Modernist Psychologizing: Mathematics Education Flirts with the Postmodern

    Science.gov (United States)

    Peck, Frederick; Sriraman, Bharath

    2017-01-01

    Mathematics education emerged as a field in the height of modernism in science and mathematics. For decades, modernist psychology provided the dominant framework for inquiry in the field. Recently, this framework has started to sustain questions, leading to an ongoing conversation in the literature about the identity of the field. We join this…

  18. Opinions of Secondary School Science and Mathematics Teachers on STEM Education

    Science.gov (United States)

    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…

  19. A Comparison of Teacher and Lecturer Perspectives on the Transition from Secondary to Tertiary Mathematics Education

    Science.gov (United States)

    Hong, Ye Yoon; Kerr, Suzanne; Klymchuk, Sergiy; McHardy, Johanna; Murphy, Priscilla; Spencer, Sue; Thomas, Michael O. J.; Watson, Peter

    2009-01-01

    The transition from school to tertiary study of mathematics comes under increasing scrutiny in research. This article reports on some findings from a project analysing the transition from secondary to tertiary education in mathematics. One key variable in this transition is the teacher or lecturer. This article deals with a small part of the data…

  20. Prototype Images in Mathematics Education: The Case of The Graphical Representation of The Definite Integral

    Science.gov (United States)

    Jones, Steven R.

    2018-01-01

    Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

  1. The Integration of Music and Mathematics Education in Catalonia and England: Perspectives on Theory and Practice

    Science.gov (United States)

    Viladot, Laia; Hilton, Caroline; Casals, Albert; Saunders, Jo; Carrillo, Carmen; Henley, Jennie; González-Martín, Cristina; Prat, Montserrat; Welch, Graham

    2018-01-01

    The relationship between music and mathematics has often been the subject of discussion, both inside and outside the field of education. As part of an exciting project on a European scale, the paper explores the changing contexts in Catalonia (Spain) and England (UK) in relation to the integrated approach to the teaching of music and mathematics.…

  2. Socially Response-Able Mathematics Education: Implications of an Ethical Approach

    Science.gov (United States)

    Atweh, Bill; Brady, Kate

    2009-01-01

    This paper discusses an approach to mathematics education based on the concept of ethical responsibility. It argues that an ethical approach to mathematics teaching lays the theoretical foundations for social justice concerns in the discipline. The paper develops a particular understanding of ethical responsibility based on the writings of Emanuel…

  3. Pre-Service Science Teachers' Cognitive Structures Regarding Science, Technology, Engineering, Mathematics (STEM) and Science Education

    Science.gov (United States)

    Hacioglu, Yasemin; Yamak, Havva; Kavak, Nusret

    2016-01-01

    The aim of this study is to reveal pre-service science teachers' cognitive structures regarding Science, Technology, Engineering, Mathematics (STEM) and science education. The study group of the study consisted of 192 pre-service science teachers. A Free Word Association Test (WAT) consisting of science, technology, engineering, mathematics and…

  4. Unpacking Personal Identities for Teaching Mathematics within the Context of Prospective Teacher Education

    Science.gov (United States)

    Hodges, Thomas E.; Hodge, Lynn Liao

    2017-01-01

    This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…

  5. The language policy practice in mathematics education in the upper ...

    African Journals Online (AJOL)

    The study showed that teachers teach between 30-46% of their mathematics lesson periods in English at the lower primary level. Efforts to use the native language for meaningful mathematics instructions are constrained by teachers' inability to speak the language and the lack of materials in the native language.

  6. The Hammer-and-Nail Phenomenon in Mathematics Education

    Science.gov (United States)

    Lim, Kien H.

    2012-01-01

    This paper uses the hammer-and-nail metaphor to highlight the rigidity and impulsiveness that can be found in student mathematical behaviour. The hammer-and-nail phenomenon can be attributed to two plausible causes: (1) the way the human mind works; and (2) the way mathematics is traditionally taught in school. In this paper, the following aspects…

  7. The conceptual fields theory and its role in Mathematics Education

    Directory of Open Access Journals (Sweden)

    Cristian Alfaro-Carvajal

    2016-01-01

    Full Text Available This article refers to the theory of Vergnaud’s conceptual fields and its implications in teaching mathematics. Fundamental concepts of this theory are discussed in light of teaching and learning mathematics; providing specific examples in the discipline and establishing relationship with other related references; for example, Polya problem-solving and Brousseau didactic situations, among others.

  8. Mathematics Education: Student Terminal Goals, Program Goals, and Behavioral Objectives.

    Science.gov (United States)

    Mesa Public Schools, AZ.

    Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

  9. On the difficulties of acquiring mathematical experience: Case rural education

    DEFF Research Database (Denmark)

    Booss-Bavnbek, Bernhelm

    2014-01-01

    Based on a variety of philosophical approaches and my own work for decades in pure and applied mathematics teaching and research, I explain my view upon the basic difficulties of acquiring the “Mathematical Experience” (in the sense of P.J. Davis and R. Hersh 1981) and submit a list of claims how...

  10. THE PROJECTED RATE OF COMPETENCE FORMATION AS A TOOL OF EDUCATIONAL MANAGEMENT OF ADVANCED LEVEL OF EDUCATION

    Directory of Open Access Journals (Sweden)

    L. V. Lvov

    2017-01-01

    Full Text Available Introduction. Specially organized complex of the scientific research directed to obtaining the reliable advancing information about development of pedagogical members is necessary for the development of educational policy, the strategy of development for educational systems, and methods of management of quality of pedagogical activity at different stages of education. The result of the educational management of professional and educational process is caused by the quality of pedagogical design. In turn, the quality of pedagogical forecasting is a factor determining the overall effectiveness of management through the pedagogical design.The aim of this article is to describe the model that allows applying the rate of competence formation as a tool of educational management and providing the advanced level of education. Methodology and research methods are based on pre-competence and context approach, which supposes the content selection as a set of competencies and designing the educational and professional process with the use of the rate of formation of ability and readiness (competency as a tool of teaching management.Results. The author states socio-pedagogical contradiction, which is in acute shortage of predictive tools in the management of the educational process. The article describes terminology and empirical mathematical models that underpin pedagogical management of the educational and professional training of students that provides the advanced level of formation of organizational and managerial competence.Scientific novelty. The author clarifies the concept of the advanced level of education; introduces the term of the rate of formation of competency; proposes a new model to solve the problem of predicting learning outcomes and timely management influence by managers of education at all stages of the design and functioning of the educational system in the conditions of implementation of competence-based approach in the higher school

  11. Currents in industrial mathematics from concepts to research to education

    CERN Document Server

    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...

  12. An Improved Mathematical Scheme for LTE-Advanced Coexistence with FM Broadcasting Service.

    Science.gov (United States)

    Shamsan, Zaid Ahmed; Al-Hetar, Abdulaziz M

    2016-01-01

    Power spectral density (PSD) overlapping analysis is considered the surest approach to evaluate feasibility of compatibility between wireless communication systems. In this paper, a new closed-form for the Interference Signal Power Attenuation (ISPA) is mathematically derived to evaluate interference caused from Orthogonal Frequency Division Multiplexing (OFDM)-based Long Term Evolution (LTE)-Advanced into Frequency Modulation (FM) broadcasting service. In this scheme, ISPA loss due to PSD overlapping of both OFDM-based LTE-Advanced and FM broadcasting service is computed. The proposed model can estimate power attenuation loss more precisely than the Advanced Minimum Coupling Loss (A-MCL) and approximate-ISPA methods. Numerical results demonstrate that the interference power is less than that obtained using the A-MCL and approximate ISPA methods by 2.8 and 1.5 dB at the co-channel and by 5.2 and 2.2 dB at the adjacent channel with null guard band, respectively. The outperformance of this scheme over the other methods leads to more diminishing in the required physical distance between the two systems which ultimately supports efficient use of the radio frequency spectrum.

  13. Students’ Critical Mathematical Thinking Skills and Character:Experiments for Junior High School Students through Realistic Mathematics Education Culture-Based

    Directory of Open Access Journals (Sweden)

    Anderson L. Palinussa

    2013-01-01

    Full Text Available This paper presents the findings of a quasi-experimental with pre-test-post-test design and control group that aims to assess students’ critical mathematical thinking skills and character through realistic mathematics education (RME culture-based. Subjects of this study were 106 junior high school students from two low and medium schools level in Ambon. The instruments of the study are: students’ early math skills test, critical thinking skills mathematical test and perception scale of students’character. Data was analyzed by using t-test and Anova. The study found that: 1 Achievements and enhancement of students’ critical mathematical thinking skills who were treated with by realistic mathematics education is better then students’ skills were treated by conventional mathematics education. The differences are considered to: a overall students, b the level of early math skills, and c schools’ level; 2 Quality of students’ character who were treated by realistic mathematics education is better then students’ character who were treated by conventional mathematics education The differences are considered to: a overall students, b the level of early math skills, and c schools’ level  Keywords: Critical Thinking, Students’ Character, Realistic Mathematics Education Culture-Based DOI: http://dx.doi.org/10.22342/jme.4.1.566.75-94

  14. Influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) in Service Education and Training(INSET) on the Attitude of Students towards Mathematics Perfomance in Public Secondary Schools of Rangwe Division, Homa-Bay Sub County-Kenya

    Science.gov (United States)

    Wafubwa, Ruth Nanjekho

    2015-01-01

    The general performance in mathematics in Kenya has been declining over the past years. This prompted the researchers to investigate the influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) In Service Education and Training (INSET) on students' attitudes towards mathematics performance in public secondary schools of…

  15. The effects of digital learning material on students’ mathematics learning in vocational education

    NARCIS (Netherlands)

    Zwart, Diana P.; Van Luit, Johannes E. H.; Noroozi, Omid; Goei, Sui Lin

    2017-01-01

    This study investigates the effects of Digital Learning Material (DLM) including instructional clips, online guidance, structuring of content, and a collaboration tool on students’ mathematics learning in Dutch vocational education. A pretest–posttest design was used. Apprenticeship students were

  16. The effects of digital learning materials on students’ mathematics learning in vocational education

    NARCIS (Netherlands)

    Zwart, Diana P.; Luit, Van Johannes E.H.; Noroozi, O.; Goei, Sui Lin

    2017-01-01

    This study investigates the effects of Digital Learning Material (DLM) including instructional clips, online guidance, structuring of content, and a collaboration tool on students’ mathematics learning in Dutch vocational education. A pretest–posttest design was used. Apprenticeship students were

  17. Ten years of democracy: Translating policy into practice in mathematics and science education

    Directory of Open Access Journals (Sweden)

    Kgabo Masehela

    2005-10-01

    Full Text Available This paper provides a 10-year (1994 – 2004 review of the state of mathematics and physical science education (SME in South Africa with respect to participation and performance, and its relationship with policy implementation.

  18. Effects of mathematics computer games on special education students' multiplicative reasoning ability

    NARCIS (Netherlands)

    Bakker, M.; Heuvel-Panhuizen, M.H.A.M. van den; Robitzsch, A.

    2016-01-01

    This study examined the effects of a teacher-delivered intervention with online mathematics mini-games on special education students' multiplicative reasoning ability (multiplication and division). The games involved declarative, procedural, as well as conceptual knowledge of multiplicative

  19. TIMSS Advanced 2015 Assessment Frameworks

    Science.gov (United States)

    Mullis, Ina V. S., Ed.; Martin, Michael O., Ed.

    2014-01-01

    The "TIMSS Advanced 2015 Assessment Frameworks" provides the foundation for the two international assessments to take place as part of the International Association for the Evaluation of Educational Achievement's TIMSS (Trends in International Mathematics and Science Study) Advanced 2015--Advanced Mathematics and Physics. Chapter 1 (Liv…

  20. Quality and safety education for advanced nursing practice.

    Science.gov (United States)

    Cronenwett, Linda; Sherwood, Gwen; Pohl, Joanne; Barnsteiner, Jane; Moore, Shirley; Sullivan, Dori Taylor; Ward, Deborah; Warren, Judith

    2009-01-01

    The Quality and Safety Education for Nurses (QSEN) project is a national initiative to transform nursing education to integrate quality and safety competencies. This article describes a two-year process to generate educational objectives related to quality and safety competency development in graduate programs that prepare advanced practice nurses in clinical roles. Knowledge, skills, and attitudes for each of 6 competencies are proposed to stimulate development of teaching strategies in programs preparing the next generation of advanced practice nurses.