• PDF / 30,061,858 Bytes
• 523 Pages / 441 x 666 pts Page_size
• 34 Downloads / 187 Views

DOWNLOAD

REPORT

---

New ICMI Study Series

IKj

VOLUME 10 Published under the auspices of the International Commission on Mathematical Instruction under the general editorship of Michele Artigue, President

Bernard R. Hodgson, Secretary-General

The titles published in this series are listed at the end of this volume.

Werner Blum Peter L. Galbraith Hans-Wolfgang Henn Mogens Niss (Editors)

Modelling and Applications in Mathematics Education ith

The 14^^ ICMI Study

^

Spri ringer

Werner Blum University of Kassel/ Germany

Hans-Wolfgang Henn University of Dortmund/ Germany

Peter L. Galbraith The University of Queensland/ Australia

Mogens Niss Roskilde University/ Denmark

Library of Congress Control Number: 2006932713 ISBN-13: 978-0-387-29820-7 ISBN-10: 0-387-29820-7 e-lSBN-13: 978-0-387-29822-1 e-lSBN-10: 0-387-29822-3

Printed on acid-free paper. © 2007 Springer Science+Business Media, LLC. 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. While the advice and information in this book are believed to be true and accurate at the date of going to press, 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.

9 8 7 6 5 4 3 2 1 springer.com

TABLE OF CONTENTS

PREFACE

xi

1

INTRODUCTION

1

MoGENS Niss, WERNER Introduction

2

PLENARIES

33

CLAUDIALSINA

35

2.1

1 BLUM

& PETER

GALBRAITH

3

Less chalk, less words, less symbols ... more objects, more context, more actions 2.2

MORTEN BLOMH0J & TOMAS HOJGAARD JENSEN

45

What's all the fuss about competencies? 2.3

JERE CONFREY & ALAN MALONEY

57

A theory of mathematical modelling in technological settings 2.4

HELEN M . DOERR

69

What knowledge do teachers need for teaching mathematics through applications and modelling? 2.5

PETER GALBRAITH

79

Beyond the low hanging fruit 2.6

BRIAN GREER, LIEVEN VERSCHAFFEL & SWAPNA MUKHOPADHYAY

89

Modelling for life: Mathematics and children's experience 2.7

GABRIELE KAISER & KATJA MAASS

99

Modelling in lower secondary mathematics classroom - problems and opportunities 2.8

HENRY POLLAK

Mathematical modelling - A conversation with Henry Pollak

109

vi

TABLE OF CONTENTS

ISSUES IN APPLICATIONS AND MODELLING

121

3.1

EPISTEMOLOGY AND MODELLING

123

3.1.0

JERECONFREY

125

Epistemo