Introduction
I. Problem Solving
1. Problem Solving Strategies
2. Introduction
3. The Last Step
4. Explaining Your Work
5. Careful Use of Language in Mathematics
6. Problem Bank
7. Beware of Patterns!
8. Problem or Exercise?
II. Place Value
9. Exploration
10. Problem Bank
11. Even Numbers
12. Number Systems
13. Other Bases
14. Binary Numbers
15. Other Rules
16. Dots and Boxes
III. Number and Operations
17. Introduction
18. Multiplication: Dots and Boxes
19. Subtraction: 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. Addition: Dots and Boxes
IV. Fractions
27. What is a Fraction? Part 3
28. Algebra Connections
29. Dividing Fractions: Problems
30. Problem Bank
31. Egyptian Fractions
32. Fractions involving zero
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
V. Patterns and Algebraic Thinking
41. Problem Bank
42. Structural and Procedural Algebra
43. Matching Game
44. Growing Patterns
45. Careful Use of Language in Mathematics: =
46. Borders on a Square
47. Introduction
VI. Place Value and Decimals
48. Operations on Decimals
49. Matching Game
50. Terminating or Repeating?
51. More x -mals
52. Division and Decimals
53. x-mals
54. Decimals
55. Review of Dots & Boxes Model
56. Orders of Magnitude
57. Problem Bank
VII. Geometry
58. Geometry in Art and Science
59. Problem Bank
60. Symmetry
61. Painted Cubes
62. Platonic Solids
63. Polygons
64. Triangles and Quadrilaterals
65. Tangrams
66. Introduction
VIII. Voyaging on Hōkūle`a
67. Navigation
68. Worldwide Voyage
69. Hōkūle`a
70. Introduction
[1]
Geometry is the art of good reasoning from bad drawings.
– Henri Poincaré
Mathematics for Elementary Teachers by Michelle Manes is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.