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Introduction
1. Problem or Exercise?
2. The Last Step
3. Explaining Your Work
4. Careful Use of Language in Mathematics
5. Problem Bank
6. Beware of Patterns!
7. Problem Solving Strategies
8. Introduction
9. Other Rules
10. Exploration
11. Problem Bank
12. Even Numbers
13. Number Systems
14. Other Bases
15. Binary Numbers
16. Dots and Boxes
17. Addition: Dots and Boxes
18. Introduction
19. Multiplication: Dots and Boxes
20. Problem Bank
21. Division Explorations
22. Properties of Operations
23. Area Model for Multiplication
24. Number Line Model
25. Division: Dots and Boxes
26. Subtraction: Dots and Boxes
27. What is a Fraction? Part 3
28. Algebra Connections
29. Egyptian Fractions
30. Fractions involving zero
31. Problem Bank
32. Dividing Fractions: Problems
33. Dividing Fractions: Invert and Multiply
34. Dividing Fractions: Meaning
35. Multiplying Fractions
36. What is a Fraction? Revisited
37. Adding and Subtracting Fractions
38. The Key Fraction Rule
39. What is a Fraction?
40. Introduction
41. Structural and Procedural Algebra
42. Problem Bank
43. Matching Game
44. Growing Patterns
45. Careful Use of Language in Mathematics: =
46. Borders on a Square
47. Introduction
48. Matching Game
49. Terminating or Repeating?
50. More x -mals
51. Division and Decimals
52. x-mals
53. Decimals
54. Review of Dots & Boxes Model
55. Operations on Decimals
56. Problem Bank
57. Orders of Magnitude
58. Symmetry
59. Problem Bank
60. Geometry in Art and Science
61. Painted Cubes
62. Platonic Solids
63. Polygons
64. Triangles and Quadrilaterals
65. Tangrams
66. Introduction
67. Navigation
68. Worldwide Voyage
69. Hōkūle`a
70. Introduction
[1]
-Paul Lockhart
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Mathematics for Elementary Teachers Copyright © 2018 by Michelle Manes is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.