Mathematics for Elementary Teachers

by Michelle Manes

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This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.

Description from LibreTexts.

Publisher
University of Hawaii
Subjects
Mathematics, Applied Mathematics
Licence
CC BY-SA 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Problem Solving
  7. 1.1: Introduction to Problem Solving
  8. 1.2: Problem or Exercise?
  9. 1.3: Problem Solving Strategies
  10. 1.4: Beware of Patterns!
  11. 1.5: Problem Bank
  12. 1.6: Careful Use of Language in Mathematics
  13. 1.7: Explaining Your Work
  14. 1.8: The Last Step
  15. 2: Place Value
  16. 2.1: Dots and Boxes
  17. 2.2: Other Rules
  18. 2.3: Binary Numbers
  19. 2.4: Other Bases
  20. 2.5: Number Systems
  21. 2.6: Even Numbers
  22. 2.7: Problem Bank
  23. 2.8: Exploration
  24. 3: Number and Operations
  25. 3.1: Introduction
  26. 3.2: Addition- Dots and Boxes
  27. 3.3: Subtraction- Dots and Boxes
  28. 3.4: Multiplication- Dots and Boxes
  29. 3.5: Division- Dots and Boxes
  30. 3.6: Number Line Model
  31. 3.7: Area Model for Multiplication
  32. 3.8: Properties of Operations (Part 1)
  33. 3.9: Properties of Operations (Part 2)
  34. 3.10: Division Explorations
  35. 3.11: Problem Bank
  36. 4: Fractions
  37. 4.1: Introduction to Fractions
  38. 4.2: What is a Fraction?
  39. 4.3: The Key Fraction Rule
  40. 4.4: Adding and Subtracting Fractions
  41. 4.5: What is a Fraction? Revisited
  42. 4.6: Multiplying Fractions
  43. 4.7: Dividing Fractions- Meaning
  44. 4.8: Dividing Fractions- Invert and Multiply
  45. 4.9: Dividing Fractions- Problems
  46. 4.10: Fractions involving zero
  47. 4.11: Problem Bank
  48. 4.12: Egyptian Fractions
  49. 4.13: Algebra Connections
  50. 4.14: What is a Fraction? Part 3
  51. 5: Patterns and Algebraic Thinking
  52. 5.1: Introduction
  53. 5.2: Borders on a Square
  54. 5.3: Careful Use of Language in Mathematics- =
  55. 5.4: Growing Patterns
  56. 5.5: Matching Game
  57. 5.6: Structural and Procedural Algebra
  58. 5.7: Problem Bank
  59. 6: Place Value and Decimals
  60. 6.1: Review of Dots and Boxes Model
  61. 6.2: Decimals
  62. 6.3: x-mals
  63. 6.4: Division and Decimals
  64. 6.5: More x -mals
  65. 6.6: Terminating or Repeating?
  66. 6.7: Matching Game
  67. 6.8: Operations on Decimals
  68. 6.9: Orders of Magnitude
  69. 6.10: Problem Bank
  70. 7: Geometry
  71. 7.1: Introduction
  72. 7.2: Tangrams
  73. 7.3: Triangles and Quadrilaterals
  74. 7.4: Polygons
  75. 7.5: Platonic Solids
  76. 7.6: Painted Cubes
  77. 7.7: Symmetry
  78. 7.8: Geometry in Art and Science
  79. 7.9: Problem Bank
  80. 8: Voyagin on Hōkūle'a
  81. 8.1: Introduction
  82. 8.2: Hōkūle`a
  83. 8.3: Worldwide Voyage
  84. 8.4: Navigation
  85. Back Matter
  86. Index
  87. Glossary
  88. Detailed Licensing