Mathematical Cultures The London Meetings 2012-2014
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.Mathematics has uni
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Brendan Larvor Editor
Mathematical Cultures The London Meetings 2012–2014
Trends in the History of Science Trends in the History of Science is a series devoted to the publication of volumes arising from workshops and conferences in all areas of current research in the history of science, primarily with a focus on the history of mathematics, physics, and their applications. Its aim is to make current developments available to the community as rapidly as possible without compromising quality, and to archive those developments for reference purposes. Proposals for volumes can be submitted using the online book project submission form at our website www.birkhauserscience.com.
More information about this series at http://www.springer.com/series/11668
Brendan Larvor Editor
Mathematical Cultures The London Meetings 2012–2014
Editor Brendan Larvor School of Humanities University of Hertfordshire Hatfield, Hertfordshire UK
ISSN 2297-2951 Trends in the History of Science ISBN 978-3-319-28580-1 DOI 10.1007/978-3-319-28582-5
ISSN 2297-296X (electronic) ISBN 978-3-319-28582-5
(eBook)
Library of Congress Control Number: 2016934201 © Springer International Publishing Switzerland 2016 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 This book is published under the trade name Birkhäuser The registered company is Springer International Publishing AG Switzerland (www.birkhauser-science.com)
Contents
Editorial Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Brendan Larvor Part I
1
First Meeting: Varieties
Understanding the Cultural Construction of School Mathematics. . . . . Paul Andrews
9
Envisioning Transformations—The Practice of Topology. . . . . . . . . . . Silvia De Toffoli and Valeria Giardino
25
Creative Discomfort: The Culture of the Gelfand Seminar at Moscow University . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Slava Gerovitch
51
Mathematical Culture and Mathematics Educat
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