• PDF / 7,918,638 Bytes
• 489 Pages / 439.37 x 666.142 pts Page_size
• 33 Downloads / 208 Views

DOWNLOAD

REPORT

---

Bernard R. Hodgson, Secretary-General

For other titles published in this series, go to www.springer.com/series/6351

Information on the ICMI Study program and on the resulting publications can be obtained at the ICMI website http://www.mathunion.org/ICMI/ or by contacting the ICMI SecretaryGeneral, whose email address is available on that website.

Celia Hoyles  •  Jean-Baptiste Lagrange Editors

Mathematics Education and Technology-Rethinking the Terrain The 17th ICMI Study

Editors Celia Hoyles London Knowledge Lab Institute of Education University of London London UK [email protected]

Jean-Baptiste Lagrange IUFM de Reims and Didirem Paris 7 France [email protected]

ISBN 978-1-4419-0145-3 e-ISBN 978-1-4419-0146-0 DOI 10.1007/978-1-4419-0146-0 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009936312 © Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in ­connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

1  Introduction................................................................................................. Celia Hoyles and Jean-Baptiste Lagrange

1

Section 1  Design of Learning Environments and Curricula 2  Introduction to Section 1............................................................................ 15 Celia Hoyles and Nathalie Sinclair 3  Designing Software for Mathematical Engagement through Modeling........................................................................................ 19 Jere Confrey, Celia Hoyles, Duncan Jones, Ken Kahn, Alan P. Maloney, Kenny H. Nguyen, Richard Noss and Dave Pratt 4  Designing Digital Technologies and Learning Activities for Different Geometries............................................................................ 47 Keith Jones, Kate Mackrell and Ian Stevenson 5  Implementing Digital Technologies at a National Scale.......................... 61 Nathalie Sinclair, Ferdinando Arzarello, Maria Trigueros Gaisman and Maria Dolores Lozano, with Valentina Dagiene, Emran Behrooz and Nicholas Jackiw Section 2 Learning and Assessing Mathematics with and through Digital Technologies 6  Introduction to Section 2............................................................................ 81 Paul Drijvers, Maria-Alessandra Mariotti, John Oli