Mathematics Education in Different Cultural Traditions-A Comparative Study of East Asia and the West
In recent years there has been an upsurge of interest concerning international comparisons of mathematics education, stimulated in part by large-scale studies such as TIMSS and PISA. However, many educators have felt that the analysis of such comparisons
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New ICMI Study Series VOLUNE 9 Published under the auspices of the International Commission on Mathematical Instruction under the general editorship of Hyman Bass, President
Bernard R. Hodgson, Secretary-General
The titlespublished in this series are listed at the end ofthis volume.
Frederick K.S. Leung Klaus-D. Graf Francis J. Lopez-Real (Editors)
Mathematics Education in Different Cultural TraditionsA Comparative Study of East Asia and the West The 13" ICMI Study
& -ISpringer
Frederick K.S. Leung The University of Hong Kong China
Klaus-D. Graf Freie Universitaet Germany
Francis J. Lopez-Real The University of Hong Kong China
Library of Congress Control Number: 2005935746 ISBN-10: 0-387-29722-7 (HB) ISBN-13: 978-0387-29722-4 (HB)
ISBN-10: 0-387-29723-5 (e-book) ISBN-13: 978-0387-29723-1(e-book)
O 2006 by Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science + Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed in the United States of America.
Contents Preface
xi
Mathematics Education in Different Cultural Traditions: A Comparative Study of East Asia and the West - Discussion Document 1 Mathematics Education in East Asia and the West: Does Culture Matter? 21 LEUNG KOONSHINGFREDERICK Section 1: Context of Mathematical Education - Introduction FAN LIANGHUO & WALTHER FISCHER
47
Chapter 1-1: A Traditional Aspect of Mathematics Education in Japan ICHIEIHIRABAYASHI
51
Chapter 1-2: From Wasan to Yozan KENJIUENO Chapter 1-3: Perceptions of Mathematics and Mathematics Education in the Course of History - A Review of Western Perspectives CHRISTINE KEITEL
81
Chapter 1-4: Historical Topics as Indicators for the Existence of Fundamentals in Educational Mathematics WALTHER L. FISCHER
95
Chapter 1-5: From "Entering the Way" to "Exiting the Way": In Search of a Bridge to Span "Basic Skills" and "Process Abilities" 111 WONG NGAI-YING Chapter 1-6: Practice Makes Perfect: A Key Belief in China LI SHIQI
129
Chapter 1-7: The Origins of Pupils' Awareness of Teachers' Mathematics Pedagogical Values: Confucianism and Buddhism-Driven LEU YUH-CHYN& WU CHAO-JUNG 139
Section 2: Curriculum - Introduction MARGARET WU, PARK KWNGMEE& LEUNG KOON SHING FREDERICK
153
Chapter 2-1 : Some Comparative Studies between French and Vietnamese Curricula COMITI ANNIEBESSOT & CLAUDE
159
Chapter 2-2: An Overview of the Mathematics Curricula in the West and East WU & ZHANG
