Dianne Siemon ... [et al.]. - Teaching mathematics : foundation and intermediate phase

Oxford University Press Southern Africa (Pty) Ltd

Vasco Boulevard, Goodwood, Cape Town, Republic of South Africa
P O Box 12119, N1 City, 7463, Cape Town, Republic of South Africa

Oxford University Press Southern Africa (Pty) Ltd is a subsidiary of
Oxford University Press, Great Clarendon Street, Oxford OX2 6DP.

The Press, a department of the University of Oxford, furthers the Universitys objective of
excellence in research, scholarship, and education by publishing worldwide in

Oxford New York

Auckland Cape Town Dar es Salaam Hong Kong Karachi
Kuala Lumpur Madrid Melbourne Mexico City Nairobi
New Delhi Shanghai Taipei Toronto

With offices in

Argentina Austria Brazil Chile Czech Republic France Greece
Guatemala Hungary Italy Japan Poland Portugal Singapore South Korea
Switzerland Turkey Ukraine Vietnam

Oxford is a registered trade mark of Oxford University Press
in the UK and in certain other countries

Published in South Africa
by Oxford University Press Southern Africa (Pty) Ltd, Cape Town

Teaching Mathematics: Foundation and Intermediate Phase

Print edition ISBN: 978-0-19-599789-7
EPUB edition ISBN: 978-0-19-907944-5

Oxford University Press Southern Africa (Pty) Ltd 2013

Adapted from:
Teaching Mathematics: Foundation to Middle Years

ISBN 978 0 19 556845 5

The content of the original edition of the Work is copyright of Dianne Simeon et al, published by Oxford University Press Australia and New Zealand, 2011. The additional material in this Work is copyright of Oxford University Press Southern Africa.

The moral rights of the author have been asserted
Database right Oxford University Press Southern Africa (Pty) Ltd (maker)

First published 2013

All rights reserved. No part of this publication may be reproduced,
stored in a retrieval system, or transmitted, in any form or by any means,
without the prior permission in writing of Oxford University Press Southern Africa (Pty) Ltd,
or as expressly permitted by law, or under terms agreed with the appropriate
designated reprographics rights organization. Enquiries concerning reproduction
outside the scope of the above should be sent to the Rights Department,
Oxford University Press Southern Africa (Pty) Ltd, at the address above.

You must not circulate this book in any other binding or cover
and you must impose this same condition on any acquirer.

Publishing mananger: Alida Terblanche
Publisher: Marisa Montemarano
Development editor: Ilse Groenewald
Project manager: Sarah Floor
Editor: Richard Rufus-Ellis
Designer: Chris Davis
Indexer: Derika van Biljon

Set in ITC New Baskerville Std 10 pt on 12.5 pt by Stronghold Publishing
Reproduction by
Cover reproduction by
Digital conversion by Realmdigital (Pty) Ltd.

Acknowledgements
The authors and publisher gratefully acknowledge permission to reproduce copyright material in this book. Every effort has been made to trace copyright holders, but if any copyright infringements have been made, the publisher would be grateful for information that would enable any omissions or errors to be corrected in subsequent impressions.

Contents

About the Authors

Kakoma Luneta (editor) is the Head of the Department of Childhood Education and a Senior Lecturer in Mathematics Education at the University of Johannesburg. He is a specialist in mathematics teacher education research, professional development and mentorship. He has authored three books and published several articles in peer reviewed journals. He has taught mathematics and physics in various southern and northern African countries, the UK, and the USA.

Stanley A. Adendorff taught primary and secondary mathematics for 10 years, and has been involved in teacher education for the past 25 years. He is currently a senior lecturer in mathematics education at Cape Peninsula University of Technology. He has worked as facilitator, project leader and researcher on several intervention projects geared towards improving mathematics learning and teaching in South African schools, such as REMESA (Realistic Mathematics Education in South Africa), a joint University of the Western Cape and University of Utrecht project (19992000); intervention projects run by the University of Stellenbosch, namely, Brave Maths Mouse project (20042006) and Izibalo Zabobonke (maths for all) (20062008). Stanley co-wrote a number of papers geared towards realistic and contextual approaches to teaching school mathematics.

Pam Austin taught at primary and secondary schools for 17 years before joining the Nelson Mandela Metropolitan University (previously University of Port Elizabeth) where she is currently a senior lecturer and head of the Intermediate Phase programme. Over the past 12 years she has authored both Foundation Phase and Intermediate Phase mathematics textbooks. Her interest lies in promoting excellence in mathematics teaching by influencing students self-efficacy and developing knowledge, skills and values for quality mathematics education.

Johanna Sandra Fransman taught Mathematics for 16 years before she left the school and joined MCPT (Mathematics Centre for Professional Teachers) as mathematics facilitator. After four years she joined the North-West University where she is currently based as lecturer and is involved in the upgrading of Mathematics teachers qualifications. Her research interests include mathematics teaching and learning and the professional development of mathematics teachers.

Sally Hobden began her career in education as a Mathematics teacher in a secondary school. This was followed by a period of freelance work doing private Mathematics lessons for struggling students and work for NGOs. In 1992 she joined the Edgewood College of Education and began her work in teacher education. She currently works as lecturer in the School of Education at the University of KwaZulu-Natal. Sally has a Bachelor of Science degree and a PhD in Mathematics Education from the University of KwaZulu-Natal. Her dedication to excellent teaching was recognised by the award of Distinguished Teacher in 2007. Her particular research interest is in making mathematics accessible to all, and in mathematics teacher education.

Luckson Muganyizi Kaino taught mathematics in Tanzanian secondary and high schools before joining the Tanzania Institute of Education where he worked as a Principal Curriculum Developer. He then joined the University of Swaziland in Swaziland, Limpopo University in South Africa and the University of Botswana in Botswana before joining the University of South Africa (UNISA). Luckson teaches mathematics and technology education courses and has expertise in educational research, curriculum development and evaluation. He is currently the Coordinator of the Organisation for Social Science Research in Eastern and Southern African (OSSREA), South African Chapter. He is a graduate of the University of Salzburg in Austria with a PhD in mathematics education. He also has MSc and BSc degrees in mathematics and mathematics education from the University of Dar es Salaam in Tanzania.

Judah P. Makonye has taught mathematics at all levels of the education spectrum; primary school, secondary school, teachers college and university. He is currently a lecturer in the Division of Mathematics Education at the University of Witwatersrands School of Education. Judahs research interests include the epistemological obstacles in the teaching and learning of mathematics. He holds a PhD in mathematics education and has published numerous journal articles.