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Angelika Bikner-Ahsbahs Andreas Vohns · Regina Bruder Oliver Schmitt · Willi Dörfler

Theories in and of Mathematics Education Theory Strands in German Speaking Countries

ICME-13 Topical Surveys Series editor Gabriele Kaiser, Faculty of Education, University of Hamburg, Hamburg, Germany

More information about this series at http://www.springer.com/series/14352

Angelika Bikner-Ahsbahs Andreas Vohns Regina Bruder Oliver Schmitt Willi Dörfler •

•

Theories in and of Mathematics Education Theory Strands in German Speaking Countries

Angelika Bikner-Ahsbahs Faculty of Mathematics and Information Technology University of Bremen Bremen Germany Andreas Vohns Department of Mathematics Education Alpen-Adria-Universität Klagenfurt Klagenfurt Austria

Oliver Schmitt Fachbereich Mathematik Technical University Darmstadt Darmstadt, Hessen Germany Willi Dörfler Institut für Didaktik der Mathematik Alpen-Adria-Universität Klagenfurt Klagenfurt Austria

Regina Bruder Fachbereich Mathematik Technical University Darmstadt Darmstadt, Hessen Germany

ISSN 2366-5947 ICME-13 Topical Surveys ISBN 978-3-319-42588-7 DOI 10.1007/978-3-319-42589-4

ISSN 2366-5955

(electronic)

ISBN 978-3-319-42589-4

(eBook)

Library of Congress Control Number: 2016945849 © The Editor(s) (if applicable) and The Author(s) 2016. This book is published open access. Open Access This book is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, a link is provided to the Creative Commons license and any changes made are indicated. The images or other third party material in this book are included in the work’s Creative Commons license, unless indicated otherwise in the credit line; if such material is not included in the work’s Creative Commons license and the respective action is not permitted by statutory regulation, users will need to obtain permission from the license holder to duplicate, adapt or reproduce the material. 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Contents

1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .