Teaching Fractions through Situations: A Fundamental Experiment
This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of
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eaching Fractions through Situations: A Fundamental Experiment
Teaching Fractions through Situations: A Fundamental Experiment
Guy Brousseau • Nadine Brousseau Virginia Warfield
Teaching Fractions through Situations: A Fundamental Experiment
Guy Brousseau Université de Bordeaux Bordeaux, France
Nadine Brousseau Bordeaux, France
Virginia Warfield University of Washington Seattle, WA, USA
ISBN 978-94-007-2714-4 ISBN 978-94-007-2715-1 (eBook) DOI 10.1007/978-94-007-2715-1 Springer Dordrecht Heidelberg New York London Library of Congress Control Number: 2013941883 © Springer Science+Business Media B.V. 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)
Preface
We would like to thank James King, Virginia Stimpson and Marion Walter for their very helpful comments on this book and for the encouragement that came with those comments. We would also like to thank all of the teachers at the École Michelet in Talence for their support, encouragement and very hard work without which the project we are describing could never have happened. Readers who would like to find out more about the École Michelet or about the field of research whose foundation this book describes can do so at http:// faculty.washington.edu/warfield/guy-brousseau.com/.
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Contents
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Why
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