Selected Regular Lectures from the 12th International Congress on Mathematical Education
This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts
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Selected Regular Lectures from the 12th International Congress on Mathematical Education
Selected Regular Lectures from the 12th International Congress on Mathematical Education
Sung Je Cho Editor
Selected Regular Lectures from the 12th International Congress on Mathematical Education
123
Editor Sung Je Cho Seoul National University Seoul Korea, Republic of (South Korea)
ISBN 978-3-319-17186-9 DOI 10.1007/978-3-319-17187-6
ISBN 978-3-319-17187-6
(eBook)
Library of Congress Control Number: 2015935734 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Editor Sung Je Cho, Seoul National University Editors Bill Barton, The University of Auckland Gail Burrill, Michigan State University Bernard R. Hodgson, Université Laval Gabriele Kaiser, University of Hamburg Oh Nam Kwon, Seoul National University Hee-Chan Lew, Korea National University of Education Editorial Board Michèle Artigue, Université Paris Diderot—Paris 7 Évelyne Barbin, University of Nantes Morten Blomhøj, IMFUFA Roskilde University Jaime Carvalho e Silva, Universidade de Coimbra Johann Engelbrecht, University of Pretoria Mercy Kazima, University of Malawi Masataka Koyama, Hiroshima University Frederick Leung, The University of Hong Kong Shiqi Li, East China Normal University Cheryl E. Praeger, The University of Western Australia Hyun Yong Shin, Korea National University of Education K. (Ravi) Subramaniam, Homi Bhabha Centre for Science Education Yuriko Yamamoto Baldin, Universidade Federal de São Carlos
Preface
This book is a result of the 12th International Congress on Mathematical Education (ICME-12), which was held at Seoul, Korea from July 8, 2012 to July 15, 2012. The International Program Committee (IPC-12) of ICME-12 took on the task of acting as the editorial bo