Mathematics Education as a Research Domain: A Search for Identity An
No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concept
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New ICMI Studies Series Volume 4 Published under the auspices of The International Commission on Mathematical Instruction under the general editorship of Miguel de Guzman, President
Mogens Niss, Secretary
The titles published In this series are listed at the end of Book 2.
Mathematics Education as a Research Domain: A Search for Identity An ICMI Study Book 1 Edited by:
Anna Sierpinska Concordia University, Montreal, Quebec, Canada
and
Jeremy Kilpatrick University of Georgia, Athens, Georgia, USA
Springer-Science+Business Media, B.V.
Library of Congress Cataloging-in-Publication Data Mathematics education as a research domain : a search for identity : an ICMI study / edited by Jeremy Kilpatrick and Anna Sierpinska. p. cm. — (New ICMI studies series ; v. 4) Includes index. 1. Mathematics—Study and teaching—Research. Jeremy. II. Sierpinska, Anna. III. Series. QA11.M3757 1997
I. Kilpatrick,
510'.71—dc21
ISBN 978-94-010-6186-5
97-20240
ISBN 978-94-011-5194-8 (eBook)
DOI 10.1007/978-94-011-5194-8
Printed on acid-free paper
A l l Rights Reserved © 1998 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1998 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
TABLE OF CONTENTS
BOOK 1
Foreword
ix
Part I: The ICMI Study Conference Discussion Document List of Participants 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
3 9 9 14 20 23 28
ALAN J. BISHOP
Research, Effectiveness, and the Practitioners' World
33
Part II: Mathematics Education as a Research Discipline JOSETIE ADDA
A Glance Over the Evolution of Research in Mathematics Education
49
NORMA C. PRES MEG
Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right
57
PAUL ERNEST
A Postmodern Perspective on Research in Mathematics Education
71
ERICH CH. WITIMANN
Mathematics Education as a 'Design Science'
87
ROBERTA MURA
What is Mathematics Education? A Survey of Mathematics Educators in Canada
105
vi
TABLE OF CONTENTS
GUNNAR GJONE
Programs for the Education of Researchers in Mathematics Education
117
Part III: Goals, Orientations and Results of Research in Mathematics Education GILAH C. LEDER
The Aims of Research
131
JAMES HIEBERT
Aiming Research Toward Understanding: Lessons We Can Learn From Children
141
NERIDA F. ELLERTON & M. A. ('KEN') CLEMENTS Transforming the Int
