The Didactical Challenge Of Symbolic Calculators

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The Didactical Challenge of Symbolic Calculators

Dominique Guin,Kenneth Ruthven,Luc Trouche
The Didactical Challenge of Symbolic Calculators Book PDF

Author : Dominique Guin,Kenneth Ruthven,Luc Trouche
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 54,5 Mb
Release : 2005-11-13
Category : Education
ISBN : 9780387234359

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The Didactical Challenge of Symbolic Calculators by Dominique Guin,Kenneth Ruthven,Luc Trouche Pdf

A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. Not only has this facilitated the application of established methods of mathematical and statistical analysis but it has stimulated the development of innovative approaches. These changes have produced a marked evolution in the professional practice of mathematics, an evolution which has not yet provoked a corresponding adaptation in mathematical education, particularly at school level. In particular, although calculators -- first arithmetic and scientific, then graphic, now symbolic -- have been found well suited in many respects to the working conditions of pupils and teachers, and have even achieved a degree of official recognition, the integration of new technologies into the mathematical practice of schools remains marginal. It is this situation which has motivated the research and development work to be reported in this volume. The appearance of ever more powerful and portable computational tools has certainly given rise to continuing research and development activity at all levels of mathematical education. Amongst pioneers, such innovation has often been seen as an opportunity to renew the teaching and learning of mathematics. Equally, however, the institutionalization of computational tools within educational practice has proceeded at a strikingly slow pace over many years.

The Didactical Challenge of Symbolic Calculators

Dominique Guin,Kenneth Ruthven,Luc Trouche
The Didactical Challenge of Symbolic Calculators Book PDF

Author : Dominique Guin,Kenneth Ruthven,Luc Trouche
Publisher : Springer
Page : 0 pages
File Size : 51,5 Mb
Release : 2010-12-06
Category : Education
ISBN : 1441935827

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The Didactical Challenge of Symbolic Calculators by Dominique Guin,Kenneth Ruthven,Luc Trouche Pdf

A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. Not only has this facilitated the application of established methods of mathematical and statistical analysis but it has stimulated the development of innovative approaches. These changes have produced a marked evolution in the professional practice of mathematics, an evolution which has not yet provoked a corresponding adaptation in mathematical education, particularly at school level. In particular, although calculators -- first arithmetic and scientific, then graphic, now symbolic -- have been found well suited in many respects to the working conditions of pupils and teachers, and have even achieved a degree of official recognition, the integration of new technologies into the mathematical practice of schools remains marginal. It is this situation which has motivated the research and development work to be reported in this volume. The appearance of ever more powerful and portable computational tools has certainly given rise to continuing research and development activity at all levels of mathematical education. Amongst pioneers, such innovation has often been seen as an opportunity to renew the teaching and learning of mathematics. Equally, however, the institutionalization of computational tools within educational practice has proceeded at a strikingly slow pace over many years.

The Didactical Challenge of Symbolic Calculators

Dominique Guin
The Didactical Challenge of Symbolic Calculators Book PDF

Author : Dominique Guin
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 41,6 Mb
Release : 2005
Category : Education
ISBN : 9780387231587

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The Didactical Challenge of Symbolic Calculators by Dominique Guin Pdf

While computational technologies are transforming the professional practice of mathematics, as yet they have had little impact on school mathematics. This pioneering text develops a theorized analysis of why this is and what can be done to address it. It examines the particular case of symbolic calculators (equipped with computer algebra systems) in secondary education. Drawing on a substantial program of French innovation and research, as well as closely related studies from Australia and the Netherlands, it provides rich illustrations of the many aspects of technology integration, and of the ways in which these are shaped at different levels of the educational institution. This text offers the first English-language exposition of how an innovative synthesis of the theories of instrumentation and didactics can be used to illuminate the complexities of technology integration. It offers important guidance for policy and practice through its analysis of the central role of the teacher and its identification of key principles for effective didactical design and management. These distinctive features make this book essential reading for researchers, teacher educators, and graduate students in mathematics education and technology in education, as well as for teachers of mathematics at upper-secondary and university levels. This is a revised, English-language edition of D. Guin & L. Trouche (Eds.) (2002) Calculatrices symboliques. Transformer un outil en un instrument de travail mathématique: un problème didactique (Editions La Pensée Sauvage, Grenoble).

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 : 942 pages
File Size : 43,8 Mb
Release : 2010-04-02
Category : Education
ISBN : 9781135192761

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

This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.

Volume 2: Cases and Perspectives

M. Kathleen Heid,Glendon W. Blume
Volume 2 Cases and Perspectives Book PDF

Author : M. Kathleen Heid,Glendon W. Blume
Publisher : IAP
Page : 485 pages
File Size : 43,8 Mb
Release : 2008-07-01
Category : Mathematics
ISBN : 9781607529538

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Volume 2: Cases and Perspectives by M. Kathleen Heid,Glendon W. Blume Pdf

(Published in Co-operation with the National Council of Teacher of Mathematics) According to NCTM's Principles and Standards for School Mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning." How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The second volume has a dual focus: cases and perspectives. It features descriptive cases that provide accounts of the development of technology-intensive curriculum and tools. In these cases the writers describe and analyze various roles that research played in their development work and ways in which research, curriculum development, and tool development can inform each other. These thoughtful descriptions and analyses provide documentation of how this process can and does occur. The remaining chapters in the second volume address research related issues and perspectives on the use of technology in the teaching and learning of mathematics. The lessons learned from the research presented in these volumes are lessons about teaching and learning that can be applied more broadly than solely in technological settings.

Uses of Technology in Primary and Secondary Mathematics Education

Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Uses of Technology in Primary and Secondary Mathematics Education Book PDF

Author : Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Publisher : Springer
Page : 440 pages
File Size : 53,6 Mb
Release : 2018-05-14
Category : Education
ISBN : 9783319765754

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Uses of Technology in Primary and Secondary Mathematics Education by Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale Pdf

This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

Tools and Mathematics

John Monaghan,Luc Trouche,Jonathan M. Borwein
Tools and Mathematics Book PDF

Author : John Monaghan,Luc Trouche,Jonathan M. Borwein
Publisher : Springer
Page : 483 pages
File Size : 49,6 Mb
Release : 2016-04-18
Category : Education
ISBN : 9783319023960

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Tools and Mathematics by John Monaghan,Luc Trouche,Jonathan M. Borwein Pdf

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.

Transformation - A Fundamental Idea of Mathematics Education

Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop
Transformation A Fundamental Idea of Mathematics Education Book PDF

Author : Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 51,9 Mb
Release : 2013-12-13
Category : Education
ISBN : 9781461434894

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Transformation - A Fundamental Idea of Mathematics Education by Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop Pdf

The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

Teaching Mathematical Modelling: Connecting to Research and Practice

Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown
Teaching Mathematical Modelling Connecting to Research and Practice Book PDF

Author : Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown
Publisher : Springer Science & Business Media
Page : 627 pages
File Size : 49,5 Mb
Release : 2013-10-27
Category : Education
ISBN : 9789400765405

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Teaching Mathematical Modelling: Connecting to Research and Practice by Gloria Ann Stillman,Gabriele Kaiser,Werner Blum,Jill P. Brown Pdf

This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy.​

Debates in Mathematics Education

Dawn Leslie,Heather Mendick
Debates in Mathematics Education Book PDF

Author : Dawn Leslie,Heather Mendick
Publisher : Routledge
Page : 280 pages
File Size : 55,9 Mb
Release : 2013-10-01
Category : Education
ISBN : 9781134483723

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Debates in Mathematics Education by Dawn Leslie,Heather Mendick Pdf

Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. It engages with established and contemporary debates, promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding. Written by experts in the field of mathematics education, it investigates and offers fresh insight into topics of central importance, including: Gender, social inequality and mathematics Mathematics, politics and climate change The history and culture of mathematics Using popular culture in the mathematics classroom The concept of ‘ability’ and its impact on learning What we mean by ‘teaching for understanding’ Choosing and using examples in teaching The fitness of formal examinations. Designed to stimulate discussion and support you in your own research, writing and practice, Debates in Mathematics Education will be a valuable resource for any student or practising teacher engaged in initial teacher training, continuing professional development or Masters level study. It also has much to offer to those leading initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.

Toward a Visually-Oriented School Mathematics Curriculum

Ferdinand Rivera
Toward a Visually Oriented School Mathematics Curriculum Book PDF

Author : Ferdinand Rivera
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 48,7 Mb
Release : 2011-01-06
Category : Education
ISBN : 9789400700147

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Toward a Visually-Oriented School Mathematics Curriculum by Ferdinand Rivera Pdf

What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."

Challenging Mathematics In and Beyond the Classroom

Edward J. Barbeau,Peter J. Taylor
Challenging Mathematics In and Beyond the Classroom Book PDF

Author : Edward J. Barbeau,Peter J. Taylor
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 52,5 Mb
Release : 2009-04-21
Category : Education
ISBN : 9780387096032

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Challenging Mathematics In and Beyond the Classroom by Edward J. Barbeau,Peter J. Taylor Pdf

In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Third International Handbook of Mathematics Education

M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Third International Handbook of Mathematics Education Book PDF

Author : M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Publisher : Springer Science & Business Media
Page : 1120 pages
File Size : 47,7 Mb
Release : 2012-11-15
Category : Mathematics
ISBN : 9781461446842

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Third International Handbook of Mathematics Education by M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung Pdf

The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Volume 1: Research Syntheses

M. Kathleen Heid,Glendon W. Blume
Volume 1 Research Syntheses Book PDF

Author : M. Kathleen Heid,Glendon W. Blume
Publisher : IAP
Page : 449 pages
File Size : 44,7 Mb
Release : 2008-07-01
Category : Mathematics
ISBN : 9781607529521

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Volume 1: Research Syntheses by M. Kathleen Heid,Glendon W. Blume Pdf

According to NCTM’s Principles and Standards for School mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students’ learning.” How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.

A Design Approach to Research in Technology Enhanced Mathematics Education

Anonim
A Design Approach to Research in Technology Enhanced Mathematics Education Book PDF

Author : Anonim
Publisher : Yishay Mor
Page : 293 pages
File Size : 47,5 Mb
Release : 2010
Category : Electronic
ISBN : 8210379456XXX

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A Design Approach to Research in Technology Enhanced Mathematics Education by Anonim Pdf

A Thesis Submitted for the Degree of Doctor of Philosophy, Institute of Education - University of London