Trends in Teaching and Learning of Mathematical Modelling ICTMA14

Applications and modelling and their learning and teaching in school and university have become a prominent topic in the last decades in view of the world-wide importance of the usage of mathematics in science, technology and everyday life. Trends in Teac

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International Perspectives on the Teaching and Learning of Mathematical Modelling VOLUME 1

Editorial Board IPTL Editors Gabriele Kaiser, University of Hamburg, Germany Gloria Stillman, Australian Catholic University, Australia Editorial Board Maria Salett Biembengut, Universidade Regional de Blumenau, Brazil Werner Blum, University of Kassel, Germany Helen Doerr, Syracuse University, USA Peter Galbraith, University of Queensland, Australia Toskikazu Ikeda, Yokohoma National University, Japan Mogens Niss, Roskilde University, Denmark Jinxing Xie, Tsinghua University, China

For further volumes: http://www.springer.com/series/10093

Gabriele Kaiser    Werner Blum Rita Borromeo Ferri    Gloria Stillman ●



Editors

Trends in Teaching and Learning of Mathematical Modelling ICTMA 14

Editors Prof. Dr. Gabriele Kaiser University of Hamburg Hamburg Germany [email protected]

Prof. Dr. Rita Borromeo Ferri University of Kassel Kassel Germany [email protected]

Prof. Dr. Werner Blum University of Kassel Kassel Germany [email protected]

A/Prof. Dr. Gloria Stillman Australian Catholic University Ballarat, Victoria Australia [email protected]

ISBN 978-94-007-0909-6 e-ISBN 978-94-007-0910-2 DOI 10.1007/978-94-007-0910-2 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011931897 © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Series Preface

Applications and modelling and their learning and teaching in school and university have become a prominent topic in the last decades in view of the growing worldwide relevance of the usage of mathematics in science, technology and everyday life. However, although it is consensus that modelling shall play an important role in mathematics education, the situation in school and university is not satisfactory. Given the worldwide impending shortage of youngsters who are interested in mathematics and science it is highly necessary to discuss possible changes of mathematics education in school and tertiary education towards the inclusion of real world examples and the competencies to use mathematics to solve real world problems. This situation is the starting point of this new and innovative book series established by Springer, “International Perspectives on the Teaching and Learning of Mathematical Modelling”, where the aim is to promote academic discussion on the teaching and learning of mathematical modelling at various educational levels all over the world. The series will publish books from vario