CiNii 図書 - The investigations book : a resource book for teachers of mathematics

This book has been written to aid both primary and secondary teachers with using investigations in their mathematical lessons. It is particularly useful for the Using and applying Mathematics strand of the English and Welsh National curriculum and the problem solving aspect of the Scottish guidelines. It contains 40 investigations. All the investigations have a statement of the problem which is designed to be both readily understandable and to contain an aspect of challenge. Each one also has a commentary which describes possible approaches and indicates the links with other strands of the mathematical curriculum. The first 18 investigations have fuller commentaries than the others and include advice from a wider use of the material in the classroom and ideas for extensions. This book is an excellent resource for all teachers and shows what can be achieved by using a problem solving approach in the mathematics classroom.

Introduction
Part I. Investigations: Full Commentaries: 1. Chain traps
2. Staircase numbers
3. Deltominoes
4. Isolations
5. Walls
6. Diagonal
7. Postage
8. Pocket
9. Cheese
10. Random dots
11. Custard pies
12. Designing figures
13. Sums and products
14. Crazy paving
15. Clones
16. Thirding a square
17. Figure sequence
18. Lighthouses
Part II. Investigations: Short Commentaries: 19. Graceful figures
20. Coin shapes
21. Chop
22. Palindromic sums
23. Number spiral
24. Chessboard rectangles
25. Spirolaterals
26. Trees
27. Paving with dominoes
28. Loops
29. Magic
30. Cube links
31. Differences
32. Duogons
33. Balancing act
34. Quadruples
35. Design
36. Vector path
37. Pivot points
38. Round the bend
39. Square spiral
40. Fraction challenge
Index.

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The investigations book : a resource book for teachers of mathematics

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