Cover -- TOC36;Contents -- Acknowledgements -- CH36;Chapter 1 Introduction -- CH36;Chapter 2 Learning from errors and misconceptions -- CH36;Chapter 3 Childrens mathematical discussions -- CH36;Chapter 4 Developing number -- CH36;Chapter 5 Shape44; space and measurement -- CH36;Chapter 6 From number to algebra -- CH36;Chapter 7 Data45;handling44; graphicacy44; probability and statistics -- CH36;Chapter 8 Pre45;service teachers mathematics subject matter knowledge -- CH36;Chapter 9 Learning and teaching mathematics58; towards a theory of pedagogy -- Appendix 158; Common errors and misconceptions -- Appendix 258; Discussion prompt sheets -- Glossary -- References -- IDX36;Index -- Last Page.
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Develops concepts for teachers to use in organizing their understanding and knowledge of children's mathematics. This book offers guidance for classroom teaching and concludes with theoretical accounts of learning and teaching. It transforms research on diagnostic errors into knowledge for teaching, teacher education and research on teaching.