Tools and Mathematics
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has four parts. The first part sets the scene with a reflection on doing a mathematical task with different tools, a mathematician's acc
- PDF / 11,184,833 Bytes
- 497 Pages / 439.42 x 683.15 pts Page_size
- 50 Downloads / 158 Views
Tools and Mathematics Instruments for learning
Mathematics Education Library
More information about this series at http://www.springer.com/series/6276
John Monaghan • Luc Trouche • Jonathan M. Borwein
Tools and Mathematics Instruments for learning
John Monaghan Department of Mathematical Sciences University of Agder Kristiansand, Norway
Luc Trouche Institut Franc¸ais de l’Education Ecole Normale Supe´rieure de Lyon Lyon, France
Jonathan M. Borwein Centre for Computer Assisted Research Mathematics and its Applications School of Mathematical and Physical Sciences University of Newcastle Newcastle, Australia
ISSN 0924-4921 ISSN 2214-983X (electronic) Mathematics Education Library ISBN 978-3-319-02395-3 ISBN 978-3-319-02396-0 (eBook) DOI 10.1007/978-3-319-02396-0 Library of Congress Control Number: 2015952621 © 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 Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
To Seymour Papert—for inspiration over the decades
Foreword
In our book Windows on Mathematical Meanings: Learning Cultures and Computers, Celia Hoyles and I wrote: The role of mathematics in underpinning social and economic life stretches back to the dawn of the industrial revolution and beyond. Every aspect of modern society is infused with the congealed mathematical labour of mathematicians, computer scientists, engineers and so on. Yet at the same time, this mathematics is increasingly invisible to those who merely share in, rather than construct, the artefacts of the culture . . . It is mathematics which lies dormant inside the chips of vacuum cleaners, the warheads of missiles, and the graphical displays of news broadcasts. Even the simple exchange of goods and commodities, once relatively amenable to mathematisation, has been overwhelmed by the workings of global markets which are dominated by invis
Data Loading...
