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Mathematical Misconceptions

Mathematical Misconceptions
A Guide for Primary Teachers

Edited by:

December 2008 | 176 pages | SAGE Publications Ltd
How do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age.

With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils' work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader's own mathematical knowledge. Chapters explore:

- the seemingly paradoxical number zero

- the concept of equality

- children's perceptions and misconceptions of adding, subtracting, multiplying and dividing

- the learning process

- the ways in which children acquire number concepts.

This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.

Anne d Cockburn and Paul Parslow-Williams
Zero: understanding an apparently paradoxical number
Paul Parslow-Williams and Anne D Cockburn
Equality: Getting the right balance
Sara Hershkovitz, Dina Tirosh and Pessia Tsamir
Beginning to unravel misconceptions
Dina Tirosh, Pessia Tsamir and Sara Hershkovitz
Insights into children's intuitions of addition, subtraction, multiplication and division
Pessia Tsamir, Sara Hershkovitz and Dina Tirosh
Right or Wrong? Exploring misconceptions in division
Anne D Cockburn
Developing an understanding of children's acquisition of number concepts
Graham Littler and Darina Jirotkova
Highlighting the learning processes
Carlo Marchini and Paoloa Vighi
Everyday numbers under a mathematical magnifying glass

Provides relevant misconceptions students may not have realised are caused by how they word explanations to children.

Ethel Anderson
Faculty of Education, Strathclyde University
February 12, 2013

A clear guide to the role of misconceptions in children's mathematical development.

Ms Helen Yorke
School of Primary Education, Birmingham City University
October 31, 2012

Used as recommended reading for inclusion elements of BA and PGCE coures

Mrs Rosalind Coleridge
School of Arts and Education, Middlesex University
June 23, 2011

Opportunities for all those involved in the education of primary aged children, whatever their role, to develop their understanding of the nature and basis of many mathematical misconceptions.
Effective personal engagement of the reader with regular opportunities to reflect on their own experience with 'pause for thought' feature and to extend their own thinking through 'challenges'.

Michael Lansley
School of Teacher Education, Chichester University
October 28, 2010

Recommended specifically as reading for a task unpacking children's misconceptions

Mrs Mary Briggs
Warwick Institute of Education, Warwick University
October 14, 2010

Sample Materials & Chapters

Introduction PDF

Chapter One PDF

For instructors

This book is not available as an inspection copy. For more information contact your local sales representative.

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ISBN: 9781847874412
ISBN: 9781847874405

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