E-Book Overview
This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
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BELIEFS: A HIDDEN VARIABLE IN MATHEMATICS EDUCATION?
Mathematics Education Library VOLUME 31
Managing Editor A.J. Bishop, Monash University, Melbourne, Australia
Editorial Board J.P. Becker, Illinois, U.S.A. G. Leder, Melbourne, Australia A. Sfard, Haifa, Israel O. Skovsmose, Aalborg, Denmark S. Turnau, Krakow, Poland
The titles published in this series are listed at the end of this volume.
BELIEFS: A HIDDEN VARIABLE IN MATHEMATICS EDUCATION?
Edited by
GILAH C. LEDER La Trobe University, Australia
ERKKI PEHKONEN University of Turku, Finland and
GÜNTER TÖRNER University of Duisburg, Germany
KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
eBook ISBN: Print ISBN:
0-306-47958-3 1-4020-1057-5
©2003 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow Print ©2002 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: and Kluwer's eBookstore at:
http://kluweronline.com http://ebooks.kluweronline.com
TABLE OF CONTENTS vii xi xiii
Tables and Figures Acknowledgements Contributors
1
Chapter 1: Setting the Scene Gilah C. Leder, Erkki Pehkonen, and Günter Törner
PART 1 BELIEFS: CONCEPTUALIZATION AND MEASUREMENT Chapter 2: Framing Students’ Mathematics-Related Beliefs. A Quest for Conceptual Clarity and a Comprehensive Categorization
13
Peter Op’t Eynde, Erik de Corte, and Lieven Verschaffel
Chapter 3: Rethinking Characterizations of Beliefs
39
Fulvia Furinghetti and Erkki Pehkonen
Chapter 4: Affect, Meta-Affect, and Mathematical Belief Structures
59
Gerald A. Goldin
Chapter 5: Mathematical Beliefs – A Search for a Common Ground: Some Theoretical Considerations on Structuring Beliefs, Some Research Questions, and Some Phenomenological Observations
73
Günter Törner
Chapter 6: Measuring Mathematical Beliefs and Their Impact on the Learning of Mathematics: A New Approach
95
Gilah C. Leder and Helen J. Forgasz
Chapter 7: Synthesis - Beliefs and Mathematics Education: Implications For Learning, Teaching, and Research
115
Douglas B. McLeod and Susan H. McLeod
PART 2 TEACHERS’ BELIEFS Chapter 8: Mathematics Teacher Change and Development. The Role of Beliefs
127
Melvin (Skip) Wilson and Thomas J. Cooney
Chapter 9: Mathematics Teachers’ Beliefs and Experiences with Innovative Curriculum Materials. The Role of Curriculum in Teacher Development Gwendolyn M. Lloyd
v
149
vi
CONTENTS
Chapter 10: A Four Year Follow-up Study of Teachers' Beliefs after Participating in a Teacher Enhancement Project
161
Lynn C. Hart
Chapter 11: Belief Structure and Inservice High School Mathematics Teacher Growth
177
Olive Chapman
Chapter 12: Participation and Reification in Learning to Teach: The Role of Knowledge and Beliefs
195
Salvador Llinares
Chapter 13: A Study of the Mathematics Teaching Efficacy Beliefs of Primary Teachers
211
George Philippou and Constantinos Christou