LESSON STUDY Challenges in Mathematics Education
SERIES ON MATHEMATICS EDUCATION Series Editors: Mogens Niss (Roskilde University, Denmark) Lee Peng Yee (Nanyang Technological University, Singapore) Jeremy Kilpatrick (University of Georgia, USA) Published Vol. 1 Vol. 2 Vol. 3 Vol. 4 Vol. 5 Vol. 6 Vol. 7 Vol. 8 Vol. 9 Vol. 10 How Chinese Learn Mathematics Perspectives from Insiders Edited by: L. Fan, N.-Y. Wong, J. Cai and S. Li Mathematics Education The Singapore Journey Edited by: K. Y. Wong, P. Y. Lee, B. Kaur, P. Y. Foong and S. F. Ng Lesson Study Challenges in Mathematics Education Edited by M. Inprasitha, M. Isoda, B.-H. Yeap and P. Wang-Iverson Russian Mathematics Education History and World Significance Edited by: A. Karp and B. R. Vogeli Russian Mathematics Education Programs and Practices Edited by A. Karp and B. R. Vogeli How Chinese Teach Mathematics Perspectives from Insiders Edited by L. Fan, N.-Y. Wong, J. Cai and S. Li Mathematics Education in Korea Volume 1: Curricular and Teaching and Learning Practices Edited by Jinho Kim, Inki Han, Joongkwoen Lee and Mangoo Park Mathematical Modelling From Theory to Practice Edited by N. H. Lee and D. K. E. Ng Primary Mathematics Standards for Pre-Service Teachers in Chile A Resource Book for Teachers and Educators By P. Felmer, R. Lewin, S. Martínez, C. Reyes, L. Varas, E. Chandía, P. Dartnell, A. López, C. Martínez, A. Mena, A. Ortíz, G. Schwarze and P. Zanocco Mathematics and Its Teaching in the Southern Americas Edited by H. Rosario, P. Scott and B. R. Vogeli
Series on Mathematics Education Vol. 3 LESSON STUDY Challenges in Mathematics Education Edited by Khon Kaen University, Thailand Masami Isoda University of Tsukuba, Japan Patsy Wang-Iverson The Gabriella & Paul Rosenbaum Foundation, USA Ban Har Yeap Marshall Cavendish Institute, Singapore World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI CHENNAI
Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data Lesson study : challenges in mathematics education / edited by (Khon Kaen University, Thailand) [and three others]. pages cm. -- (Series on mathematics education ; volume 3) Includes bibliographical references. ISBN 978-981-283-540-6 (hardcover : alk. paper) -- ISBN 978-981-283-541-3 (pbk : alk. paper) 1. Mathematics--Study and teaching. 2. Curriculum planning. 3. Teachers--Training of. I. Inprasitha, Maitree, editor. II. Title: Challenges in mathematics education. QA135.6.L45 2015 510.71'2--dc23 2015001068 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright 2015 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. Printed in Singapore
FOREWORD LESSON STUDY: Challenges in Mathematics Education is the product associated with the APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project entitled Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures among the APEC Member Economies. It began originally as a five-year project (2006 2010) in 2006, which has continued to the present. The project aims to develop innovations in teaching and learning mathematics by focusing on the process of developing and sharing good practices instead of importing good practice from other places. There are four phases of this process each year: 1) specialists from each economy meet in Japan, observe classrooms using Lesson Study, discuss and commit to introduce the concept in their economy; 2) each specialist conducts Lesson Study at schools in his/her economy; 3) all specialists meet in Thailand to share their experience in implementing Lesson Study during an international symposium; 4) participating economies are challenged to expand their good practices to national, regional, or international levels. The sharing process also includes providing the results of Lesson Study through classroom videos in the form of websites, CDs, and proceedings published after each conference. Through these methodologies, the project introduced Lesson Study to the participating APEC member economies in 2006. In 2007, as Lesson Study was embedded in some schools in each participating economy, the project focused on How to develop students mathematical thinking in schools based on Lesson Study. In 2008, the project focused on How to develop students mathematical communication in classroom. In 2009 2010, the project focused on Lesson Study for Implementing Curriculum Developing Innovative Assessment Problems. This book has been prepared from contributions to the project in 2006 2007. It is intended for those who are interested in learning how to implement Lesson Study in schools for the improvement of the quality of education through classroom innovations and how to develop students mathematical thinking based on Lesson Study. In particular, mathematics teacher educators, mathematics teachers, and curriculum developers in the field of mathematics teacher education may find this book provides many challenging ideas from different cultural backgrounds among APEC and non-apec member economies. Prospective mathematics teachers, undergraduate students, and graduate students in mathematics may find many examples of good practices in teaching mathematics, including lesson v
vi Foreword plans. We acknowledge contributions to this book from well-known scholars with expertise in Lesson Study in Mathematics. Editors Khon Kaen University, Thailand Masami Isoda University of Tsukuba, Japan Patsy Wang-Iverson The Gabriella & Paul Rosenbaum Foundation, U.S.A. Ban Har Yeap Marshall Cavendish Institute, Singapore
TABLE OF CONTENTS Foreword v Section 1: The Role of Lesson Study in Overcoming 1 Challenges in Mathematics Education 1.1 Mathematics Education for the Knowledge-Based Society 3 Alan J. Bishop 1.2 Mathematical Thinking for Classroom Decision Making 11 Kaye Stacey 1.3 Setting Lesson Study within a Long-Term Framework for 27 Learning David Tall 1.4 Lesson Study: An Essential Process for Improving 51 Mathematics Teaching and Learning Akihiko Takahashi 1.5 Comparative Study of Mathematics Classrooms: 59 What can be Learned from the TIMSS 1999 Video Study? Frederick K.S. Leung 1.6 The Science of Lesson Study in the Problem Solving 81 Approach Masami Isoda 1.7 Preparing Ground for the Introduction of Lesson Study 109 in Thailand Section 2: Perspectives on Lesson Study and Professional 121 Development 2.1 History of Lesson Study to Develop Good Practices 123 in Japan Shizumi Shimizu & Kimiho Chino vii
viii Contents 2.2 What Have We Learned About Lesson Study Outside 141 Japan? Catherine Lewis 2.3 Enhancing Mathematics Teachers Professional 153 Development through Lesson Study ~ A Case Study in Singapore ~ Ban Har Yeap, Peggy Foo & Poh Suan Soh 2.4 Using Lesson Study to Develop an Approach to Problem 169 Solving: Adding and Subtracting Fractions Kazuyoshi Okubo & Hiroko Tsuji 2.5 Prospective Teacher Education in Mathematics through 185 Lesson Study 2.6 In-service Teacher Education in Mathematics through 197 Lesson Study Soledad A. Ulep Section 3: Lesson Study for Illustrating Innovative 211 Approaches in the Classroom 3.1 Transforming Education through Lesson Study: 213 Thailand s Decade-Long Journey 3.2 Mathematics Teachers Professional Development 229 through Lesson Study in Indonesia Marsigit 3.3 Lesson Study in Chile 243 Grecia Gálvez 3.4 Initiating Lesson Study to Promote Good Practices: 255 A Malaysian Experience Chap Sam Lim & Chin Mon Chiew 3.5 Using Lesson Study as a Means to Innovation for Teaching 273 and Learning Mathematics in Vietnam: Research Lesson on the Property of the Three Medians in a Triangle Tran Vui
Contents ix 3.6 Lesson Study in Singapore: A Case of Division with 293 Remainder in a Third Grade Mathematics Classroom Yanping Fang & Christine Kim Eng Lee 3.7 Enabling Teachers to Introduce Innovations in the 311 Classroom through Lesson Study Soledad A. Ulep 3.8 What is a Good Lesson in Japan? An Analysis 327 Takeshi Miyakawa 3.9 Using Lesson Study to Connect Procedural Knowledge 351 with Mathematical Thinking Patsy Wang-Iverson & Marian Palumbo Contributors 379