Investigations into Assessment in Mathematics Education An ICMI Stud

This book is one of the first to attempt a systematic in-depth analysis of assessment in mathematics education in most of its important aspects: it deals with assessment in mathematics education from historical, psychological, sociological, epistmological

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Investigations into Assessment in Mathematics Education An ICMI Study edited by

Mogens Niss Roskilde University, Denmark

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Springer-Science+Business Media, B.V.

ISBN 978-90-481-4232-3 ISBN 978-94-017-1974-2 (eBook) DOI 10.1007/978-94-017 -1974-2

03-0298-150 ts

Printed on acid-free paper

All Rights Reserved © 1993 Springer Science+Business Media Dordrecht

Originally published by Kluwer Academic Publishers in 1993

No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.

TABLE OF CONTENTS MOGENS NISS

Assessment in Mathematics Education and its Effects: An Introduction

1

JEREMY KILPATRICK

The Chain and the Arrow: From the History of Mathematics Assessment

31

GEOFFREY HOWSON

The Relationship Between Assessment, Curriculum and Society

47

JIM RIDGWAY & DON PASSEY

An International View of Mathematics Assessment - Through a Class, Darkly

57

PETER GALBRAITH

Paradigms, Problems and Assessment: Some Ideological Implications

73

DAVID WHEELER

Epistemological Issues and Challenges to Assessment: What is Mathematical Knowledge?

87

THOMAS A. ROMBERG

How One Comes to Know: Models and Theories of the Learning of Mathematics

97

ANTOINE BODIN

What Does to Assess Mean? The Case of Assessing Mathematical Knowledge

113

STIEG MELLIN-OLSEN

A Critical View of Assessment in Mathematics Education: Where is the Student as a Subject?

143

HERBERT P. GINSBURG & SUSAN F. JACOBS & LUZ S. LOPEZ

Assessing Mathematical Thinking and Learning Potential in Primary Grade Children

157

BENGT JOHANSSON

Diagnostic Assessment in Arithmetic JOHN IZARD

Challenges to the Improvement of Assessment Practice

169

185

MALCOLM SWAN

Improving the Design and Balance of Mathematical Assessment

195

DEREK FOXMAN

The Assessment of Performance Unit's Monitoring Surveys 1978-1987

217

DAVID F. ROBITAILLE & J. STUART DONN

TIMSS: The Third International Mathematics and Science Study

229

GIlA HANNA

The Validity of International Performance Comparisons

245

NORMAN L. WEBB

Visualizing a Theory of the Assessment of Students' Knowledge of Mathematics

253

Index

265

MOGENS NISS

ASSESSMENT IN MATHEMATICS EDUCATION AND ITS EFFECTS: AN INTRODUCTION

1. THE PRESENT BOOK AS AN ICMI STUDY

The present book, Investigations into Assessment in Mathematics Education, is one of two studies resulting from an ICMI Study Conference on Assessment in Mathematics Education and Its Effects. The book which is published in the series of ICMI Studies under the general editorship of the President and Secretary of ICMI is closely related to another study resulting from the same conference: Cases of Assessment in Mathematics Education (Niss, 1992). The two books, although originating from the same sources and having the same editor, emphasize different aspects of assessment in mathematics education and can be read indep