Teaching and learning mathematics : a guide to recent research and its applications
/ Marilyn Nickson
- 2nd ed.
- London : Continuum, 2006
- xiii, 226 p.
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.
9781846840074
Mathematics -- Study and teaching. Mathématiques -- Étude et enseignement. Éducation -- Recherche.