Mathematics Education as a Research Domain: A Search for Identity An ICMI Study Book 1.

(New ICMI Study Series)

Anna Sierpinska, Jeremy Kilpatrick

Springer | 1998 | 243 páginas | pdf | 15,8 Mb

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(livro completo, Book 1 e Book 2, sem OCR)

In 1978, in the foreword to Weeding and Sowing: A Preface to a Science of Mathematics Education, Hans Freudenthal wrote that his book is a preface to a science that does not exist. Almost 20 years later, does his claim still hold true? The present book is the result of the reflection of many individuals in mathematics education on this and related questions. Is mathematics education a science? Is it a discipline? In what sense? What is its place within other domains of research and academic disciplines? What accounts for its specificity? In the book, the reader will find a range of possible answers to these questions, a variety of analyses of the actual directions of research in different countries, and a number of visions for the future of research in mathematics education. The book is a result of an ICMI Study, whose theme was formulated as: `What is Research in Mathematics Education and What are Its Results?'. One important outcome of this study was the realization of the reasons for the difficulty of the questions that the study was posing, leading possibly to a set of other questions, better suited to the actual concerns and research practices of mathematics education researchers. The book addresses itself to researchers in mathematics education and all those working in their neighborhood who are concerned with the problems of the definition of this new scientific domain emerging at their borders.

TABLE OF CONTENTS

BOOK 1

Foreword ix

Part I: The ICMI Study Conference

Discussion Document 3

List of Participants 9

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 Probtematiques 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 

ALAN J. BISHOP

Research, Effectiveness, and the Practitioners' World 

Part II: Mathematics Education as a Research Discipline

A Glance Over the Evolution of Research in Mathematics Education

Josette Adda

Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its own Right

Norma C. Presmeg

A Postmodern Perspective on Research in Mathematics Education

Paul Ernest

Mathematics Education as a ‘Design Science’

Erich Ch. Wittmann

What is Mathematics Education? A Survey of Mathematics Educators in Canada

Roberta Mura

Programs for the Education of Researchers in Mathematics Education

Gunnar Gjone

Part III: Goals, Orientations and Results of Research in Mathematics Education

The Aims of Research

Gilah C. Leder

Aiming Research Toward Understanding: Lessons We can Learn from Children

James Hiebert

Transforming the International Mathematics Education Research Agenda

Nerida F. Ellerton, M. A. Clements

Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education

Juan D. Godino, Carmen Batanero2

Research and Results in Mathematics Education: Some Contradictory Aspects

Paolo Boero, Julianna Radnai Szendrei

Models in Mathematics Education Research: A Broader View of Research Results

Carolyn Kieran

Towards A Cognitive Theory of Practice

Gérard Vergnaud