Mathematics Education in Different Cultural Traditions-A Comparative Study of East Asia and the West: The 13th ICMI Study

592 Pages·2006·8.614 MB·English

by  Frederick K. S. Leung, Klaus-D. Graf, Francis J. Lopez-Real (eds.)

Mathematics Education in
Different Cultural Traditions-
A Comparative Study of
East Asia and the West
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 Traditions-
A Comparative Study of
East Asia and the West
The 13" ICMI Study
-
&IS pringer
Frederick K.S. Leung Klaus-D. Graf Francis J. Lopez-Real
The University of Hong Kong Freie Universitaet The University of Hong Kong
China Germany China
Library of Congress Control Number: 2005935746
ISBN-10: 0-387-29722-7 (HB) ISBN-10: 0-387-29723-5 (e-book)
ISBN-13: 978-0387-29722-4 (HB) 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
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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?
LEUNG KOONS HINGF REDERICK 2 1
Section 1: Context of Mathematical Education - Introduction
FAN LIANGHU&O WALTHERFI SCHER 47
Chapter 1- 1: A Traditional Aspect of Mathematics Education in Japan
ICHIEHI IRABAYASHI 5 1
Chapter 1-2: From Wasan to Yozan
KENJUI ENO
Chapter 1-3: Perceptions of Mathematics and Mathematics Education
in the Course of History - A Review of Western Perspectives
CHRISTINKEE ITEL 8 1
Chapter 1-4: Historical Topics as Indicators for the Existence of
Fundamentals in Educational Mathematics
WALTHELR. 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"
WONG NGAI-YIN G 111
Chapter 1-6: Practice Makes Perfect: A Key Belief in China
LI SHIQI 129
Chapter 1-7: The Origins of Pupils' Awareness of Teachers' Mathe-
matics Pedagogical Values: Confucianism and Buddhism-Driven
LEU YUH-CHYN& WU CHAO-JUNG 139
Section 2: Curriculum - Introduction
MARGAREWT U, PARK KWNGMEE& LEUNG KOON
SHINGFR EDERICK 153
Chapter 2-1 : Some Comparative Studies between French and
Vietnamese Curricula
ANNIEB ESSOT & CLAUDEC OMITI 159
Chapter 2-2: An Overview of the Mathematics Curricula in the West
and East
MARGAREWTU & ZHANG DIANZHOU 181
Chapter 2-3: Classification and Framing of Mathematical Knowledge
in Hong Kong, Mainland China, Singapore, and the United States
LI YEPING& MARKB . GINSBURG 195
Chapter 2-4: Comparative Study of Arithmetic Problems in
Singaporean and American Mathematics Textbooks
YEAP BAN-HARB; EVERLYJ. FERRUCCI & JACKA . CARTER 2 13
Chapter 2-5: A Comparative Study of the Mathematics Textbooks of
China, England, Japan, Korea, and the United States
PARK KYUNGME&E L EUNG KOONS HINGF REDERICK 227
Chapter 2-6: A Comparison of Mathematics Performance between
East and West: What PISA and TIMSS Can Tell Us
MARGAREWTU 239
Chapter 2-7: Case Studies on Mathematics Assessment Practices in
Australian and Chinese Primary Schools
ZHAO DA-CHENGJ;O ANNEM ULLIGAN &
MICHAEML ITCHELMORE 26 1
Chapter 2-8: Philippine Perspective on the ICMI Comparative Study
BIENVENIDF.O N EBRES, S.J. 277
Section 3: Teaching and Learning - Introduction
COLETTEL ABORDE
Chapter 3-1 : The TIMSS 1995 and 1999 Video Studies
JOHANNNAE UBRAND
Chapter 3-2: Proposal for a Framework to Analyse Mathematics
Education in Eastern and Western Traditions
GABRIELKEA ISER, KEIKOH INO AND CHRISTINKEN IPPING
Chapter 3-3: Cultural Diversity and the Learner's Perspective:
Attending to Voice and Context
DAVIDC LARKE, YOSHINORSIH IMIZU, SOLEDADA .
ULEP, FLORENDAL. GALLOS, GODFREYS ETHOLE; JILL
ADLER & RENUKAV ITHAL
Chapter 3-4: Mathematics Education in China: From a Cultural
Perspective
ZHENG YUXIN
Chapter 3-5: Mathematics Education and Information and
Communication Technologies: An Introduction
KLAUS-DIETEGRR AF
Chapter 3-5a: Cultural Awareness Arising from Internet
Communication between Japanese and Australian Classrooms
MASAMIIS ODA; BARRYM cCRAE & KAYES TACEY
Chapter 3-5b: The International Distance Learning Activities of
HSA R UC
XU FEI
Chapter 3-5c: Distance Learning between Japanese and German
Classrooms
KLAUS-DG. RAF & SEIJIM ORIYA
viii
Section 4: Values and Beliefs - Introduction
ALANB ISHOP
Chapter 4-1 : Comparing Primary and Secondary Mathematics Teachers'
Beliefs about Mathematics, Mathematics Learning and
Mathematics Teaching in Hong Kong and Australia
BOBP ERRY, WONG NGAI-YIN G & PETERH OWARD 43 5
Chapter 4-2: The Impact of Cultural Differences on Middle School
Mathematics Teachers' Beliefs in the U.S. and China
AN SHUHUAG,E RALDK ULM, WU ZHONGHEM, A Fu &
WANG LIN 449
Chapter 4-3: U.S. and Chinese Teachers' Cultural Values of
Representations in Mathematics Education
CAI JINFA 465
Chapter 4-4: A Comparison of Mathematical Values Conveyed in
Mathematics Textbooks in China and Australia
CAO ZHONGJUSNE, AH WEE TIONG& ALANJ . BISHOP 483
Chapter 4-5: Values and Classroom Interaction: Students' Struggle
for Sense Making
EVAJ ABLONKA & CHRISTINKEE ITEL 495
Chapter 4-6: Trip for the Body, Expedition for the Soul: An Exploratory
Survey of Two East Asian Teachers of Mathematics in Australia
SEAH WEET IONG& ALANJ . BISHOP 523
Chapter 4-7: Conceptualising Pedagogical Values and Identities in
Teacher Development
CHIN CHIEN 537
Section 5: Outlook and Conclusions - Introduction
LEUNG KOONS HINGF REDERICKK,L AUS-DIETEGRR AF &
FRANCIJS. LOPEZ-REAL 549
Chapter 5-1 : Elements of a Semiotic Analysis of the Secondary Level
Classroom in Japan
CARLW INSLBW & HIDEYOEM ORI 553
Chapter 5-2: Other Conventions in Mathematics and Mathematics
Education
VALERIAYL EKSEEV, BILLB ARTON & GELSAK NIJNIK 567
Chapter 5-3: What Comes After This Comparative Study - More
Competitions or More Collaborations?
ALANJ. BISHOP 58 1
Index 589