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

Front Cover
Anna Sierpinska, Jeremy Kilpatrick
Springer Science & Business Media, Jan 31, 1998 - Education - 576 pages
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.
 

Contents

List of Participants
9
What are the Specific Research Questions or Problématiques
20
ALAN J BISHOP
33
JOSETTE ADDA
49
PRESMEG
57
PAUL ERNEST
71
ERICH CH WITTMANN
87
ROBERTA MURA
105
GILLIAN HATCH CHRISTINE SHIU
297
RUDOLF VOM HOFE
317
STEPHEN LERMAN
333
CLAIRE MARGOLINAS
351
JOHN MASON
357
THOMAS A ROMBERG
379
YASUHIRO SEKIGUCHI
391
GILA HANNA
399

Programs for the Education of Researchers in Mathematics
117
LEDER
131
JAMES HIEBERT
141
NERIDA F ELLERTON M A KEN CLEMENTS
153
GODINO CARMEN BATANERO
177
PAOLO BOERO JULIANNA RADNAI SZENDREI
197
CAROLYN KIERAN
213
GÉRARD VERGNAUD
227
BOOK 2
240
Mathematics Education and Mathematics
240
Case Study from an International Perspective
243
MARGARET BROWN
263
Developmental Research as a Research Method
277
HART
409
FRANK K LESTER JR DIANA V LAMBDIN
415
JUDITH T SOWDER
427
An Interview with Shimshon A Amitsur
445
RONALD BROWN
459
MICHÈLE ARTIGUE
477
ANNA SFARD
491
HEINZ STEINBRING
513
ANNA SIERPINSKA JEREMY KILPATRICK
527
Notes on Authors
549
Index
557
Copyright

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