includes bibliography and index

1. Number and calculation ;
2. Shifts in research perspectives ;
3. New approaches and the teaching of number ;
4. Numeracy ;
5. Number and counting skills ;
6. The use of concrete materials ;
7. The four operations ;
8. Implications for teaching ;
9. Shape and space ;
10. Spatial ability ;
11. Theoretical background ;
12. The development of spatial abilities in young children ;
13. The development of spatial abilities in older children ;
14. Implications for teachers ;
15. Probability and statistics ;
16. What probability and statistics should be in the curriculum ;
17. Probability and statistics as a teaching subject ;
18. Probability: statistics in the primary school ;
19. Statistics in the secondary school ;
20. Implications for teaching ;
21. Algebra: the transition from arithmetic ;
22. Differences between arithmetic and algebra ;
23. Perspectives on the nature of algebra ;
24. Pre-algebra: from arithmetic to algebra ;
25. Solutions and semantics in algebra ;
26. Symbolization ;
27. The notion of proof in algebra ;
28. Implications for teaching ;
29. The use of technology in the teaching and learning of mathematics ;
30. Algebra ;
31. Shape and space ;
32. Probability and statistics ;
33. Pupils in a multimedia classroom ;
34. Implications for teaching ;
35. Problem-solving ;
36. Modelling ;
37. Problem-solving in geometry ;
38. Problem-solving in algebra ;
39. Word problems ;
40. Implications for teaching ;
41. Classroom research ;
42. Culture of the mathematics classroom ;
43. Theoretical considerations underlying classroom research ;
44. Pupils in the mathematics classroom ;
45. Teacher perspectives ;
46. Implications for teaching.