Research And Development In University Mathematics Education

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Research and Development in University Mathematics Education

Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Research and Development in University Mathematics Education Book PDF

Author : Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Publisher : Routledge
Page : 283 pages
File Size : 48,9 Mb
Release : 2021-04-15
Category : Education
ISBN : 9781000369243

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Research and Development in University Mathematics Education by Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw Pdf

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Developing Research in Mathematics Education

Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Developing Research in Mathematics Education Book PDF

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Routledge
Page : 22 pages
File Size : 43,8 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781351625401

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Developing Research in Mathematics Education by Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven Pdf

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Making the Connection

Marilyn Paula Carlson,Chris Rasmussen
Making the Connection Book PDF

Author : Marilyn Paula Carlson,Chris Rasmussen
Publisher : MAA
Page : 340 pages
File Size : 55,9 Mb
Release : 2008
Category : Mathematics
ISBN : 0883851830

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Making the Connection by Marilyn Paula Carlson,Chris Rasmussen Pdf

The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.

Focus on Mathematics Education Research

Keith Patterson
Focus on Mathematics Education Research Book PDF

Author : Keith Patterson
Publisher : Nova Science Publishers
Page : 0 pages
File Size : 51,6 Mb
Release : 2017
Category : Mathematics
ISBN : 1536118265

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Focus on Mathematics Education Research by Keith Patterson Pdf

Lecturing quality and professional development for lecturers has received growing attention within international undergraduate mathematics forums. The use of videos to inform teacher-practice has been common in research and in pre-service teacher education for many years. However, more recent interest has focused on how videos may be used for professional development of teachers, as separate from the more common research focus. It is indisputable that the verification of the gained knowledge constitutes a significant part of educational process. It not only provides the pupils and their parents with important information on the level of gained capabilities, but it is also a form of control for a teacher who can on the basis of them assess the efficiency of the methods used in the teaching process. Early mathematics education is foundational and attention to quality early math education is vital to ensure students succeed in schools. This book also looks at an innovative approach designed for mathematics in chemistry degree courses, which takes advantage of the Laplace Transform versatility. Strong content knowledge not only allows mathematics teachers to recognize students misconceptions, but it also enables them to direct students to a deeper understanding of the concepts involved. There is empirical evidence to indicate that mathematics teachers who possess deep content knowledge in the subject area tend to have greater repertoire of effective instructional strategies. Since the late eighties, research on the history of mathematics education in Spain has experienced an increase. The increase of calls for research projects both at national and regional level, has contributed to the creation of research groups and it has injected economic resources to research in this field.

Second Handbook of Research on Mathematics Teaching and Learning

Frank K. Lester
Second Handbook of Research on Mathematics Teaching and Learning Book PDF

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 46,6 Mb
Release : 2007-02-01
Category : Education
ISBN : 9781607527091

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Second Handbook of Research on Mathematics Teaching and Learning by Frank K. Lester Pdf

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Integrating Research on Teaching and Learning Mathematics

Elizabeth Fennema,Thomas P. Carpenter,Susan J. Lamon
Integrating Research on Teaching and Learning Mathematics Book PDF

Author : Elizabeth Fennema,Thomas P. Carpenter,Susan J. Lamon
Publisher : SUNY Press
Page : 242 pages
File Size : 54,5 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 0791405222

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Integrating Research on Teaching and Learning Mathematics by Elizabeth Fennema,Thomas P. Carpenter,Susan J. Lamon Pdf

During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.

Improving Primary Mathematics Education, Teaching and Learning

Mellony Graven,Hamsa Venkat
Improving Primary Mathematics Education Teaching and Learning Book PDF

Author : Mellony Graven,Hamsa Venkat
Publisher : Springer
Page : 255 pages
File Size : 46,8 Mb
Release : 2017-01-19
Category : Education
ISBN : 9781137529800

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Improving Primary Mathematics Education, Teaching and Learning by Mellony Graven,Hamsa Venkat Pdf

This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.

Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education

Deborah Loewenberg
Mathematical Proficiency for All Students Toward a Strategic Research and Development Program in Mathematics Education Book PDF

Author : Deborah Loewenberg
Publisher : Rand Corporation
Page : 123 pages
File Size : 53,9 Mb
Release : 2003-04-15
Category : Education
ISBN : 9780833034113

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Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education by Deborah Loewenberg Pdf

A clear need exists for substantial improvement in mathematics proficiency in U.S. schools. The RAND Mathematics Study Panel was convened to inform the U.S. Department of Education's Office of Educational Research and Improvement on ways to improve the quality and usability of education research and development (R&D). The panel identified three areas for focused R&D: development of teachers' mathematical knowledge used in teaching; teaching and learning of skills needed for mathematical thinking and problem-solving; and teaching and learning of algebra from kindergarten through the 12th grade.

Contemporary Research and Perspectives on Early Childhood Mathematics Education

Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz
Contemporary Research and Perspectives on Early Childhood Mathematics Education Book PDF

Author : Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz
Publisher : Springer
Page : 326 pages
File Size : 44,7 Mb
Release : 2018-02-21
Category : Education
ISBN : 9783319734323

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Contemporary Research and Perspectives on Early Childhood Mathematics Education by Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz Pdf

This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?

Latinos/as and Mathematics Education

Kip Téllez,Judit N. Moschkovich,Marta Civil
Latinos as and Mathematics Education Book PDF

Author : Kip Téllez,Judit N. Moschkovich,Marta Civil
Publisher : IAP
Page : 363 pages
File Size : 54,7 Mb
Release : 2011-05-01
Category : Education
ISBN : 9781617354229

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Latinos/as and Mathematics Education by Kip Téllez,Judit N. Moschkovich,Marta Civil Pdf

This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

The Development of Early Childhood Mathematics Education

Anonim
The Development of Early Childhood Mathematics Education Book PDF

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 51,7 Mb
Release : 2017-08-24
Category : Psychology
ISBN : 9780128134498

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The Development of Early Childhood Mathematics Education by Anonim Pdf

The Development of Early Childhood Mathematics Education, Volume 53 in the Advances in Child Development and Behavior series, includes chapters that highlight some of the most recent research in the field of developmental psychology. Users will find updated chapters on a variety of topics, including sections on The DREME Network: Research and Interventions in Early Childhood Mathematics, The Use of Concrete Experiences in Early Childhood Mathematics Instruction, Interventions in Early Mathematics: Avoiding Pollution and Dilution, Coaching in Early Mathematics, and Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count. Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students. Contains chapters that highlight some of the most recent research in the area of child development and behavior Presents a wide array of topics that are discussed in detail

Research on Mathematics Textbooks and Teachers’ Resources

Lianghuo Fan,Luc Trouche,Chunxia Qi,Sebastian Rezat,Jana Visnovska
Research on Mathematics Textbooks and Teachers Resources Book PDF

Author : Lianghuo Fan,Luc Trouche,Chunxia Qi,Sebastian Rezat,Jana Visnovska
Publisher : Springer
Page : 377 pages
File Size : 48,6 Mb
Release : 2018-02-13
Category : Education
ISBN : 9783319732534

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Research on Mathematics Textbooks and Teachers’ Resources by Lianghuo Fan,Luc Trouche,Chunxia Qi,Sebastian Rezat,Jana Visnovska Pdf

This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers’ individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students’ use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?

Handbook of International Research in Mathematics Education

Lyn D. English,David Kirshner
Handbook of International Research in Mathematics Education Book PDF

Author : Lyn D. English,David Kirshner
Publisher : Routledge
Page : 830 pages
File Size : 42,6 Mb
Release : 2010-04-02
Category : Education
ISBN : 9781135192839

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Handbook of International Research in Mathematics Education by Lyn D. English,David Kirshner Pdf

The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.

Researching the History of Mathematics Education

Fulvia Furinghetti,Alexander Karp
Researching the History of Mathematics Education Book PDF

Author : Fulvia Furinghetti,Alexander Karp
Publisher : Springer
Page : 314 pages
File Size : 44,5 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319682945

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Researching the History of Mathematics Education by Fulvia Furinghetti,Alexander Karp Pdf

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Mathematics Education as a Research Domain: A Search for Identity

Anna Sierpinska,Jeremy Kilpatrick
Mathematics Education as a Research Domain A Search for Identity Book PDF

Author : Anna Sierpinska,Jeremy Kilpatrick
Publisher : Springer
Page : 244 pages
File Size : 52,8 Mb
Release : 2013-03-14
Category : Education
ISBN : 9789401151948

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Mathematics Education as a Research Domain: A Search for Identity by Anna Sierpinska,Jeremy Kilpatrick Pdf

No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.