Early Mathematics Learning Selected Papers of the POEM 2012 Conferen
This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the developme
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Ulrich Kortenkamp • Birgit Brandt Christiane Benz • Götz Krummheuer Silke Ladel • Rose Vogel Editors
Early Mathematics Learning Selected Papers of the POEM 2012 Conference
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Editors Ulrich Kortenkamp Institut für Mathematik Martin-Luther-Universität Halle-Wittenberg Halle (Saale) Germany Birgit Brandt Inst. für Schulpädaogik und Grundschuldidaktik Martin-Luther-Universität Halle-Wittenberg Halle (Salle) Germany Christiane Benz Institut für Mathematik und Informatik Pädagogische Hochschule Karlsruhe Karlsruhe Germany
Götz Krummheuer FB 12 Informatik und Mathematik Goethe-Universität Frankfurt am Main Frankfurt am Main Germany Silke Ladel Fachrichtung 6.1 Mathematik Universität des Saarlandes Saarbrücken Germany Rose Vogel FB 12 Informatik und Mathematik Goethe-Universität Frankfurt am Main Frankfurt am Main Germany
ISBN 978-1-4614-4677-4 ISBN 978-1-4614-4678-1 (eBook) DOI 10.1007/978-1-4614-4678-1 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013955388 © Springer Science+Business Media New York 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Contents
Part I Introduction 1 Introduction������������������������������������������������������������������������������������������������ 3 Christiane Be
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