European Research in Mathematics Education – serie

This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences. Written and edited by leading researchers in ATD, the book covers all aspects of ATD theory and practice, including teaching applications. The chapters feature the most relevant and recent investigations presented at the 6th international conference on the ATD, offering a unique opportunity for an international audience interested in the study of mathematics teaching and learning to keep in touch with advances in educational research. The book is divided into four sections and the contributions explore key topics such as: The core concept of ‘praxeology’, including its development and functionalities The need for new teaching praxeologies in the paradigm of questioning the world The impact of ATD on the teaching profession and the education of teachers This is the second volume in the New Perspectives on Research in Mathematics Education. This comprehensive casebook is an indispensable resource for researchers, teachers and graduate students around the world.

This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences. Written and edited by leading researchers in ATD, the book covers all aspects of ATD theory and practice, including teaching applications. The chapters feature the most relevant and recent investigations presented at the 6th international conference on the ATD, offering a unique opportunity for an international audience interested in the study of mathematics teaching and learning to keep in touch with advances in educational research. The book is divided into four sections and the contributions explore key topics such as: The core concept of ‘praxeology’, including its development and functionalities The need for new teaching praxeologies in the paradigm of questioning the world The impact of ATD on the teaching profession and the education of teachers This is the second volume in the New Perspectives on Research in Mathematics Education. This comprehensive casebook is an indispensable resource for researchers, teachers and graduate students around the world.

This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture.The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of:• Theorising the complexity of language in mathematics teaching and learning• Opening spaces of learning with mathematics classroom research on languageThis book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.

This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture.The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of:• Theorising the complexity of language in mathematics teaching and learning• Opening spaces of learning with mathematics classroom research on languageThis book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.

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.

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.

Mathematics teaching and professional development of mathematics teachers are areas where research has increased substantially in recent years. In this dynamic field, mathematics teaching practices, pedagogical knowledge of mathematics teachers and professional development via collaboration between mathematics teachers have emerged as vital domains of inquiry.Professional Development and Knowledge of Mathematics Teachers addresses the underlying characteristics of mathematics teacher education, and those professional development contexts that have a positive impact on teachers’ professional learning. Recognizing the impact of broader institutional settings on mathematics teaching and teacher professional development, the editors suggest bridging the gaps between theoretical practices and methodological approaches in the field by focusing on and conceptualizing the following relational factors:The study of mathematics teaching and classroom situationsResearching teacher and teacher educator knowledge, since these issues inform the quality of mathematics teaching directlyMathematics teacher education and professional development, focusing on design principles and the impact they have on teacher professional learningCombining central issues of mathematics teaching, knowledge and professional development, the chapters in this volume address each of the above factors and provide profound considerations on both theoretical and practical levels. This book will be an essential resource for researchers, teachers and students working in the fields of mathematics teaching and mathematics teacher professional development.

Mathematics teaching and professional development of mathematics teachers are areas where research has increased substantially in recent years. In this dynamic field, mathematics teaching practices, pedagogical knowledge of mathematics teachers and professional development via collaboration between mathematics teachers have emerged as vital domains of inquiry.Professional Development and Knowledge of Mathematics Teachers addresses the underlying characteristics of mathematics teacher education, and those professional development contexts that have a positive impact on teachers’ professional learning. Recognizing the impact of broader institutional settings on mathematics teaching and teacher professional development, the editors suggest bridging the gaps between theoretical practices and methodological approaches in the field by focusing on and conceptualizing the following relational factors:The study of mathematics teaching and classroom situationsResearching teacher and teacher educator knowledge, since these issues inform the quality of mathematics teaching directlyMathematics teacher education and professional development, focusing on design principles and the impact they have on teacher professional learningCombining central issues of mathematics teaching, knowledge and professional development, the chapters in this volume address each of the above factors and provide profound considerations on both theoretical and practical levels. This book will be an essential resource for researchers, teachers and students working in the fields of mathematics teaching and mathematics teacher professional development.

The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital ageThis book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital ageThis book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This book shows the transformative power of genetic constructivism in mathematics education, exploring how research, practice, and policy converged to drive educational innovations in the Czech Republic can offer valuable insights into the evolution of mathematics teaching on an international scale.Drawing on a seventy-year legacy of advancements, the book highlights the pioneering ideas that emerged during the communist regime and were further developed after the Velvet Revolution, influenced by both East-European and global perspectives. Each chapter sees leading international experts reflect on the development and large-scale implementation of genetic constructivism, examining its impact on learners and providing forward-looking recommendations for the future of mathematics education. The book also delves into key themes, including the origins and defining characteristics of genetic constructivism, practical applications in schools, and an evaluation of its influence on student learning, all while maintaining a consistent focus on joyful, autonomous discovery supported by thoughtful teaching.Encouraging readers to critically assess their own teaching methods, this is the ideal resource for researchers, educators, and policymakers seeking innovative strategies to enhance mathematics education.

This timely and thought-provoking book explores how artificial intelligence (AI) and digital technologies more generally are reshaping educational assessment in the field of mathematics. It brings together a rich collection of international perspectives that offer a diverse and critical examination of the opportunities and challenges that digital technologies, including artificial intelligence, play in assessment.The chapters span a broad range of topics including the transition to a digital assessment format, designing multiple-choice items, and the use of AI for automated diagnosis, example generation, and feedback provision. The book includes a framing chapter that critically examines current trends in the field and offers key recommendations for rethinking assessment. It calls for more empirical research and a fundamental rethink of assessment practices in light of digital technologies and AI. The volume as a whole also invites readers to engage in a broader conversation about the future of educational assessment and the role of digital technologies in transforming assessment in mathematics education.This essential resource for educators, researchers, curriculum developers, policymakers, and assessment stakeholders offers a comprehensive look at the evolving international landscape of assessment in mathematics education in the digital era. It also highlights directions for future research and encourages readers to shaping the future of digital technology and artificial intelligence in formative and summative assessment in mathematics education.The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license.

This timely and thought-provoking book explores how artificial intelligence (AI) and digital technologies more generally are reshaping educational assessment in the field of mathematics. It brings together a rich collection of international perspectives that offer a diverse and critical examination of the opportunities and challenges that digital technologies, including artificial intelligence, play in assessment.The chapters span a broad range of topics including the transition to a digital assessment format, designing multiple-choice items, and the use of AI for automated diagnosis, example generation, and feedback provision. The book includes a framing chapter that critically examines current trends in the field and offers key recommendations for rethinking assessment. It calls for more empirical research and a fundamental rethink of assessment practices in light of digital technologies and AI. The volume as a whole also invites readers to engage in a broader conversation about the future of educational assessment and the role of digital technologies in transforming assessment in mathematics education.This essential resource for educators, researchers, curriculum developers, policymakers, and assessment stakeholders offers a comprehensive look at the evolving international landscape of assessment in mathematics education in the digital era. It also highlights directions for future research and encourages readers to shaping the future of digital technology and artificial intelligence in formative and summative assessment in mathematics education.The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license.

This book addresses how pre-service mathematics teachers (PMTs) can be better prepared to design and teach lessons that engage students in reasoning and proving (R&P), a core yet persistently challenging aspect of mathematics education. Building on the European MaTeK project, the book presents a multi-phase intervention developed collaboratively by five universities to enhance PMTs’ design capacity in teaching R&P across diverse curricular contexts.Grounded in current international research, the book combines theoretical and empirical perspectives on R&P, lesson design, and teacher design capacity. It analyzes PMTs’ evolving understanding of reasoning, their task and lesson designs, and their reflections on classroom implementation. The findings highlight the transformative potential of international collaboration and structured feedback in preparing teachers for contemporary classrooms.Combining conceptual clarity with practical examples, the book offers valuable insights for mathematics teacher educators, researchers, and curriculum developers. It contributes to ongoing discussions on how to support teachers in creating learning environments where mathematical reasoning and proof are integral to student learning.

This book addresses how pre-service mathematics teachers (PMTs) can be better prepared to design and teach lessons that engage students in reasoning and proving (R&P), a core yet persistently challenging aspect of mathematics education. Building on the European MaTeK project, the book presents a multi-phase intervention developed collaboratively by five universities to enhance PMTs’ design capacity in teaching R&P across diverse curricular contexts.Grounded in current international research, the book combines theoretical and empirical perspectives on R&P, lesson design, and teacher design capacity. It analyzes PMTs’ evolving understanding of reasoning, their task and lesson designs, and their reflections on classroom implementation. The findings highlight the transformative potential of international collaboration and structured feedback in preparing teachers for contemporary classrooms.Combining conceptual clarity with practical examples, the book offers valuable insights for mathematics teacher educators, researchers, and curriculum developers. It contributes to ongoing discussions on how to support teachers in creating learning environments where mathematical reasoning and proof are integral to student learning.

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.