The Evolution Of Research On Teaching Mathematics

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The Evolution of Research on Teaching Mathematics

Agida Manizade,Nils Buchholtz,Kim Beswick

Author : Agida Manizade,Nils Buchholtz,Kim Beswick
Publisher : Springer Nature
Page : 380 pages
File Size : 43,9 Mb
Release : 2023-09-11
Category : Education
ISBN : 9783031311932

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The Evolution of Research on Teaching Mathematics by Agida Manizade,Nils Buchholtz,Kim Beswick Pdf

This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Handbook of Research on Mathematics Teaching and Learning

Douglas Grouws

Author : Douglas Grouws
Publisher : IAP
Page : 784 pages
File Size : 54,6 Mb
Release : 2006-11-01
Category : Mathematics
ISBN : 9781607528746

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Handbook of Research on Mathematics Teaching and Learning by Douglas Grouws Pdf

Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.

Handbook of Research on the Psychology of Mathematics Education

Anonim

Author : Anonim
Publisher : BRILL
Page : 533 pages
File Size : 42,7 Mb
Release : 2006-01-01
Category : Education
ISBN : 9789087901127

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Handbook of Research on the Psychology of Mathematics Education by Anonim Pdf

This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years.

Mathematics Education As a Research Domain

Anna Sierpinska,Jeremy Kilpatrick

Author : Anna Sierpinska,Jeremy Kilpatrick
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 45,6 Mb
Release : 1998
Category : Mathematics
ISBN : 0792349458

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Mathematics Education As a Research Domain by Anna Sierpinska,Jeremy Kilpatrick Pdf

I: The ICMI Study Conference.- Discussion Document.- List of Participants.- What is the Specific Object of Study in Mathematics Education? Report of Working Group 1.- What are the Aims of Research in Mathematics Education? Report of Working Group 2.- What are the Specific Research Questions or Problématiques of Research in Mathematics Education? Report of Working Group 3.- What are the Results of Research in Mathematics Education? Report of Working Group 4.- What Criteria Should Be Used to Evaluate the Results of Research in Mathematics Education? Report of Working Group 5.- Research, Effectiveness, and the Practitioners' World.- II: Mathematics Education as a Research Discipline.- A Glance Over the Evolution of Research in Mathematics Education.- Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right.- A Postmodern Perspective on Research in Mathematics Education.- Mathematics Education as a 'Design Science'.- What is Mathematics Education? A Survey of Mathematics Educators in Canada.- Programs for the Education of Researchers in Mathematics Education.- III: Goals, Orientations and Results of Research in Mathematics Education.- The Aims of Research.- Aiming Research Toward Understanding: Lessons We Can Learn From Children.- Transforming the International Mathematics Education Research Agenda.- Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education.- Research and Results in Mathematics Education: Some Contradictory Aspects.- Models in Mathematics Education Research: A Broader View of Research Results.- Towards a Cognitive Theory of Practice.

Research Trends in Mathematics Teacher Education

Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest

Author : Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest
Publisher : Springer
Page : 321 pages
File Size : 52,8 Mb
Release : 2014-05-28
Category : Education
ISBN : 9783319025629

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Research Trends in Mathematics Teacher Education by Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest Pdf

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 student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

A Contemporary Theory of Mathematics Education Research

Tony Brown

Author : Tony Brown
Publisher : Springer Nature
Page : 165 pages
File Size : 46,8 Mb
Release : 2020-10-05
Category : Education
ISBN : 9783030551001

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A Contemporary Theory of Mathematics Education Research by Tony Brown Pdf

This book by-passes both psychology and sociology to present an original social theory centered on seeing mathematical learning by everyone as an intrinsic dimension of how mathematics develops as a field in support of human activity. Here, mathematics is defined by how we collectively talk about it. Drawing on psychoanalytic theory, the student is seen as participating in the renewal of mathematics through their contributions to our collective gaze on mathematics as the field responds to ever new demands. As such learning takes a critical stance on the standard initiations into current practices often promoted by formal education. In the field of mathematics education, researchers have moved from psychology where individual students were seen as following natural paths of development through existing mathematical knowledge, to socio-cultural models predicated on students being initiated into the human world and understood through the reflective gazes this world has of itself, such as those found in comparisons of student learning in different countries. This book addresses the domain, purpose and functioning of contemporary research in mathematics education and is an original contribution to this theme. The book is aimed at a mathematics education research audience. It continues a dialogue with existing publications, seen widely as a cutting edge and will also be of interest to students and practitioners in the fields of qualitative research, social theory and psychology.

Second Handbook of Research on Mathematics Teaching and Learning

Frank K. Lester

Author : Frank K. Lester
Publisher : IAP
Page : 725 pages
File Size : 44,7 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.

Developing Research in Mathematics Education

Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Taylor & Francis
Page : 313 pages
File Size : 42,7 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781351625418

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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.

History of Mathematics Teaching and Learning

Alexander Karp,Fulvia Furinghetti

Author : Alexander Karp,Fulvia Furinghetti
Publisher : Springer
Page : 47 pages
File Size : 44,5 Mb
Release : 2016-07-26
Category : Education
ISBN : 9783319316161

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History of Mathematics Teaching and Learning by Alexander Karp,Fulvia Furinghetti Pdf

This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

The Role of the History of Mathematics in the Teaching/Learning Process

Sixto Romero Sanchez,Ana Serradó Bayés,Peter Appelbaum,Gilles Aldon

Author : Sixto Romero Sanchez,Ana Serradó Bayés,Peter Appelbaum,Gilles Aldon
Publisher : Springer Nature
Page : 464 pages
File Size : 55,9 Mb
Release : 2023-06-15
Category : Education
ISBN : 9783031299001

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The Role of the History of Mathematics in the Teaching/Learning Process by Sixto Romero Sanchez,Ana Serradó Bayés,Peter Appelbaum,Gilles Aldon Pdf

This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.

Mathematics, Education and History

Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis

Author : Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis
Publisher : Springer
Page : 387 pages
File Size : 42,6 Mb
Release : 2018-03-30
Category : Education
ISBN : 9783319739243

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Mathematics, Education and History by Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis Pdf

This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

A History of Mathematics Education during the Twentieth Century

Angela Lynn Evans Walmsley

Author : Angela Lynn Evans Walmsley
Publisher : University Press of America
Page : 92 pages
File Size : 48,8 Mb
Release : 2007-05-22
Category : Education
ISBN : 9781461676218

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A History of Mathematics Education during the Twentieth Century by Angela Lynn Evans Walmsley Pdf

A History of Mathematics Education during the Twentieth Century describes the history of mathematics education in the United States with conceptual themes concerning philosophy, mathematics content, teacher education, pedagogy, and assessment. Each decade of the twentieth century is analyzed using historical documents, within the context of the aforementioned themes, to create a concise history of mathematical reform as it relates to history within the United States. Finally, conclusions are drawn as to which reform movements are similar and different throughout the century—depicting which aspects of reform can be seen again. Mathematics education tends to swing on a pendulum from "traditional education" including teacher-directed instruction with an emphasis on computation skills to "reform education," including student-directed instruction with an emphasis on problem solving. All decades are analyzed to see where they were on the pendulum and what aspects may have contributed to the current reform movements led by the Standards movement.

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

Carolyn Kieran

Author : Carolyn Kieran
Publisher : Springer
Page : 443 pages
File Size : 42,5 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319683515

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Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by Carolyn Kieran Pdf

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Interfaces between Mathematical Practices and Mathematical Education

Gert Schubring

Author : Gert Schubring
Publisher : Springer
Page : 190 pages
File Size : 52,6 Mb
Release : 2019-01-16
Category : Education
ISBN : 9783030016173

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Interfaces between Mathematical Practices and Mathematical Education by Gert Schubring Pdf

This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and explore the interfaces between teaching and research.

The Mathematics Teacher in the Digital Era

Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair

Author : Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 54,6 Mb
Release : 2013-12-08
Category : Education
ISBN : 9789400746381

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The Mathematics Teacher in the Digital Era by Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair Pdf

This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections: An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory). A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues. Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements

The Evolution Of Research On Teaching Mathematics

The Evolution of Research on Teaching Mathematics by Agida Manizade,Nils Buchholtz,Kim Beswick Pdf

Handbook of Research on Mathematics Teaching and Learning by Douglas Grouws Pdf

Handbook of Research on the Psychology of Mathematics Education by Anonim Pdf

Mathematics Education As a Research Domain by Anna Sierpinska,Jeremy Kilpatrick Pdf

Research Trends in Mathematics Teacher Education by Jane-Jane Lo,Keith R. Leatham,Laura R. Van Zoest Pdf

A Contemporary Theory of Mathematics Education Research by Tony Brown Pdf

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

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

History of Mathematics Teaching and Learning by Alexander Karp,Fulvia Furinghetti Pdf

The Role of the History of Mathematics in the Teaching/Learning Process by Sixto Romero Sanchez,Ana Serradó Bayés,Peter Appelbaum,Gilles Aldon Pdf

Mathematics, Education and History by Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis Pdf

A History of Mathematics Education during the Twentieth Century by Angela Lynn Evans Walmsley Pdf

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by Carolyn Kieran Pdf

Interfaces between Mathematical Practices and Mathematical Education by Gert Schubring Pdf

The Mathematics Teacher in the Digital Era by Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair Pdf

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