Transformation - A Fundamental Idea of Mathematics Education
This book opens up a discussion on fundamental ideas of mathematics education as a means to focus on the overarching core issues and to reflect upon the identity of the scientific discipline. The concept of transformation is introduced as one fu
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Sebastian Rezat · Mathias Hattermann Andrea Peter-Koop Editors
Transformation—A Fundamental Idea of Mathematics Education
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Editors Sebastian Rezat EIM-Institut für Mathematik Universität Paderborn Paderborn Germany
Andrea Peter-Koop Fakultät für Mathematik - IDM Universität Bielefeld Bielefeld Germany
Mathias Hattermann Fakultät für Mathematik - IDM Universität Bielefeld Germany
ISBN 978-1-4614-3488-7 ISBN 978-1-4614-3489-4 (eBook) DOI 10.1007/978-1-4614-3489-4 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013955389 © Springer Science+Business Media, LLC 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)
For Rudolf Sträßer
Introduction
This book intends to open up a discussion on fundamental ideas in didactics of mathematics as a scientific discipline. We want to introduce fundamental ideas as a possible answer to the diversity of theories in the field. Instead of providing a solely theoretical contribution, we suggest entering into this discussion by focusing on the “idea of transformation” that we regard as being fundamental to didactics of mathematics. Transformation is a matter of interest in many areas of didactics of mathematics conceived of as “the sum of scientific activities to describe, analyze an
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