Section A Introduction 1. Teaching and Learning Mathematics Paul ErnestSection B Introduction 2. Whole Numbers 3. Fractions, Decimals and Percentages 4. Number Patterns and Sequences 5. Measures 6. Shape and Space 7. Probability and Statistics 8. Mathematical Proof Section C Effective Teaching of Numeracy Margaret Brown, Kings College, London Mental Mathematics Jean Murray, Brunel University Children's Mistakes and Misconceptions Valsa Koshy, Brunel University Using Writing to Scaffold Explanations in Mathematics Christine Mitchell and William Rawson, University of Exeter Differentiation Lesley Jones and Barbara Allebone, Goldsmiths College, University of London