Reconceptualizing Mathematics

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2012-12-28
  • Publisher: W. H. Freeman

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More and more, prospective elementary teachers are being asked to develop what the Conference Board of Mathematical Sciences (CBMS) calls “the habits of a mathematical thinker.” This breakthrough text became the new standard for training future elementary math teachers by doing just that, helping them absorb the ideas underlying essential math concepts, rather than just working problems and memorizing facts. Created from extensive math education research and class-testing, the book’s innovative pedagogy, convenient format (three-hole punched, perforated pages, wide margins), and supporting technology make it the ideal text for helping today’s students become tomorrow’s teachers.

What's in the LaunchPad

Table of Contents

PART I Reasoning About Numbers and Quantities
1. Reasoning About Quantities
2. Numeration Systems
3. Understanding Whole Number Operations
4. Some Conventional Ways of Computing
5. Using Numbers in Sensible Ways
6. Meanings for Fractions
7. Computing with Fractions
8. Multiplicative Comparisons and Multiplicative Reasoning
9. Ratios, Rates, Proportions, and Percents
10. Integers and Other Number Systems
11. Number Theory

PART II Reasoning About Algebra and Change
12. What is Algebra?
13. A Quantitative Approach to Algebra and Graphing
14. Understanding Change: Relationships Among Time, Distance, and Rate
15. Further Topics in Algebra and Change

PART III Reasoning About Shapes and Measurement
16. Polygons
17. Polyhedra
18. Symmetry
19. Tessellations
20. Similarity
21. Curves, Constructions, and Curved Surfaces
22. Transformation Geometry
23. Measurement Basics
24. Area, Surface Area, and Volume
25. Counting Units Fast: Measurement Formulas
26. Special Topics in Measurement

PART IV Reasoning About Chance and Data
27. Quantifying Uncertainty
28. Determining More Complicated Probabilities
29. Introduction to Statistics and Sampling
30. Representing and Interpreting Data with One Variable
31. Dealing with Multiple Data Sets or with Multiple Variables
32. Variability in Shapes
33. Special Topics in Probability

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