Mathematical Misconceptions: A Guide for Primary Teachers

Anne Cockburn, Paul Littler

Sage Publications | 2008 | 177 páginas | PDF | 

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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.

Contents

List of figures vi

List of pictures ix

List of tables x

Introduction 1

0 Zero: understanding an apparently paradoxical number 7

Anne D. Cockburn and Paul Parslow-Williams

1 Equality: getting the right balance 23

Paul Parslow-Williams and Anne D. Cockburn

2 Beginning to unravel misconceptions 39

Sara Hershkovitz, Dina Tirosh and Pessia Tsamir

3 Insights into children’s intuitions of addition, subtraction, multiplication and division 54

Dina Tirosh, Pessia Tsamir and Sara Hershkovitz

4 Right or wrong? Exploring misconceptions in division 71

Pessia Tsamir, Sarah Hershkovitz and Dina Tirosh

5 Developing an understanding of children’s acquisition of number concepts 86

Anne D. Cockburn

6 Highlighting the learning processes 101

Graham Littler and Darina Jirotková

7 Everyday numbers under a mathematical magnifying glass 123

Carlo Marchini and Paola Vighi

Appendix 152

Index 159

Outros livros de Anne Cockburn, disponíveis no blog:

Cockburn, A.D. (1999) Teaching Mathematics with Insight: the identification, diagnosis and remediation of young children's mathematical errors. London: Falmer Press

Cockburn, A.D. (ed. 2007) Mathematical Understanding 5-11. London: Sage Publications

Outros livros de Anne Cockburn, disponíveis na Internet:

Cockburn, A.D. (1996) Teaching Under Pressure. London: Falmer Press
Cockburn, A.D. e Haydn , T. (2004) Recruiting and Retaining Teachers: understanding why teachers teach. London: Routledge Falmer

Haylock, D.W. e Cockburn, A.D. (2008). Understanding Mathematics for Young Children. London: Sage Publications
Introduction
Capther 1 - Understanding Mathematics