Author: Virginia McShane Warfield
Publisher: Springer Science & Business Media
ISBN: 1461481996
Category : Education
Languages : en
Pages : 87
Book Description
This is an introduction to a Didactique, research program that has been going on in France since the '70s and whose importance is now widely recognized, but whose content is still not easy access to anglophones. The work of Dr. Guy Brousseau has remained largely, in his native France, untranslated and largely unknown. This book will unlock the secrets of Didactique and provide an opportunity for researchers, teacher educators, and students to learn of this important methodology. The field of Didactique is rich, deep and extensive. To a large extent, it owes its shape and even its existence to the energy and inspiration poured in by Guy Brousseau starting in the 1960's. Many others have since added their ideas and energies to produce a unique, vibrant, multi-faceted research program. Invitation to Didactique provides an easily accessible general introduction to the field, hitting the high spots and focusing largely on the contributions of Brousseau himself. Teaching Fractions through Situations: a Fundamental Experiment takes one fundamental aspect and examines it in a great deal more depth from several perspectives. It gives a detailed description of a particularly interesting way of teaching fractions and decimals which should be interesting to any reader who enjoys seeing children learn mathematics. It then examines two other aspects of the lesson sequence, first describing the exciting and challenging role of the teachers handling a highly unfamiliar approach and then placing the whole experience in its context in the very earliest phases of the development of this very important field of research.
Invitation to Didactique
Author: Virginia McShane Warfield
Publisher: Springer Science & Business Media
ISBN: 1461481996
Category : Education
Languages : en
Pages : 87
Book Description
This is an introduction to a Didactique, research program that has been going on in France since the '70s and whose importance is now widely recognized, but whose content is still not easy access to anglophones. The work of Dr. Guy Brousseau has remained largely, in his native France, untranslated and largely unknown. This book will unlock the secrets of Didactique and provide an opportunity for researchers, teacher educators, and students to learn of this important methodology. The field of Didactique is rich, deep and extensive. To a large extent, it owes its shape and even its existence to the energy and inspiration poured in by Guy Brousseau starting in the 1960's. Many others have since added their ideas and energies to produce a unique, vibrant, multi-faceted research program. Invitation to Didactique provides an easily accessible general introduction to the field, hitting the high spots and focusing largely on the contributions of Brousseau himself. Teaching Fractions through Situations: a Fundamental Experiment takes one fundamental aspect and examines it in a great deal more depth from several perspectives. It gives a detailed description of a particularly interesting way of teaching fractions and decimals which should be interesting to any reader who enjoys seeing children learn mathematics. It then examines two other aspects of the lesson sequence, first describing the exciting and challenging role of the teachers handling a highly unfamiliar approach and then placing the whole experience in its context in the very earliest phases of the development of this very important field of research.
Publisher: Springer Science & Business Media
ISBN: 1461481996
Category : Education
Languages : en
Pages : 87
Book Description
This is an introduction to a Didactique, research program that has been going on in France since the '70s and whose importance is now widely recognized, but whose content is still not easy access to anglophones. The work of Dr. Guy Brousseau has remained largely, in his native France, untranslated and largely unknown. This book will unlock the secrets of Didactique and provide an opportunity for researchers, teacher educators, and students to learn of this important methodology. The field of Didactique is rich, deep and extensive. To a large extent, it owes its shape and even its existence to the energy and inspiration poured in by Guy Brousseau starting in the 1960's. Many others have since added their ideas and energies to produce a unique, vibrant, multi-faceted research program. Invitation to Didactique provides an easily accessible general introduction to the field, hitting the high spots and focusing largely on the contributions of Brousseau himself. Teaching Fractions through Situations: a Fundamental Experiment takes one fundamental aspect and examines it in a great deal more depth from several perspectives. It gives a detailed description of a particularly interesting way of teaching fractions and decimals which should be interesting to any reader who enjoys seeing children learn mathematics. It then examines two other aspects of the lesson sequence, first describing the exciting and challenging role of the teachers handling a highly unfamiliar approach and then placing the whole experience in its context in the very earliest phases of the development of this very important field of research.
Approaches to Qualitative Research in Mathematics Education
Author: Angelika Bikner-Ahsbahs
Publisher: Springer
ISBN: 9401791813
Category : Education
Languages : en
Pages : 587
Book Description
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
Publisher: Springer
ISBN: 9401791813
Category : Education
Languages : en
Pages : 587
Book Description
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
Invitation to Didactique
Author: Virginia McShane Warfield
Publisher:
ISBN: 9781461482000
Category :
Languages : en
Pages : 92
Book Description
Publisher:
ISBN: 9781461482000
Category :
Languages : en
Pages : 92
Book Description
Mathematical Tasks in Classrooms Around the World
Author:
Publisher: BRILL
ISBN: 9460911501
Category : Education
Languages : en
Pages : 253
Book Description
This book presents an international perspective on environmental educational and specifically the influence that context has on this aspect of curriculum. The focus is on environmental education both formal and non formal and the factors that impact upon its effectiveness, particularly in non-Western and non-English-speaking contexts (i.e., outside the UK, USA, Australia, NZ, etc. ).
Publisher: BRILL
ISBN: 9460911501
Category : Education
Languages : en
Pages : 253
Book Description
This book presents an international perspective on environmental educational and specifically the influence that context has on this aspect of curriculum. The focus is on environmental education both formal and non formal and the factors that impact upon its effectiveness, particularly in non-Western and non-English-speaking contexts (i.e., outside the UK, USA, Australia, NZ, etc. ).
Teaching Fractions through Situations: A Fundamental Experiment
Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 9400727151
Category : Education
Languages : en
Pages : 226
Book Description
This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.
Publisher: Springer Science & Business Media
ISBN: 9400727151
Category : Education
Languages : en
Pages : 226
Book Description
This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.
European Traditions in Didactics of Mathematics
Author: Werner Blum
Publisher: Springer
ISBN: 3030055140
Category : Education
Languages : en
Pages : 215
Book Description
This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
Publisher: Springer
ISBN: 3030055140
Category : Education
Languages : en
Pages : 215
Book Description
This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
The Didactics of Mathematics: Approaches and Issues
Author: Bernard R Hodgson
Publisher: Springer
ISBN: 3319260472
Category : Education
Languages : en
Pages : 271
Book Description
This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.
Publisher: Springer
ISBN: 3319260472
Category : Education
Languages : en
Pages : 271
Book Description
This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.
Invited Lectures from the 13th International Congress on Mathematical Education
Author: Gabriele Kaiser
Publisher: Springer
ISBN: 3319721704
Category : Education
Languages : en
Pages : 777
Book Description
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Publisher: Springer
ISBN: 3319721704
Category : Education
Languages : en
Pages : 777
Book Description
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Tools and Mathematics
Author: John Monaghan
Publisher: Springer
ISBN: 3319023969
Category : Education
Languages : en
Pages : 497
Book Description
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.
Publisher: Springer
ISBN: 3319023969
Category : Education
Languages : en
Pages : 497
Book Description
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.
Creativity and Technology in Mathematics Education
Author: Viktor Freiman
Publisher: Springer
ISBN: 3319723812
Category : Education
Languages : en
Pages : 552
Book Description
This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.
Publisher: Springer
ISBN: 3319723812
Category : Education
Languages : en
Pages : 552
Book Description
This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.