Mathematical reasoning for elementary teachers / Calvin T. Long, Duane W.DeTemple
Material type:
- 0321043332
- 22nd ed. 510 LON
Item type | Current library | Collection | Call number | Status | Barcode | |
---|---|---|---|---|---|---|
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CUoM Library General Stacks | Mathematics/Physics/Chemistry/Biology | 510 LON (Browse shelf(Opens below)) | Available | 00000702 |
Includes index
1. Thinking critically --
1.1. Some surprising tidbits --
1.2. An introduction to problem solving --
1.3. Pólya's problem-solving principles --
1.4. More problem-solving strategies --
1.5. Additional problem-solving strategies --
1.6. Problem solving in the real world --
Chapter 1 summary --
Chapter review exercises --
Chapter test --
2. Sets, whole numbers, and functions --
2.1. Sets and operations on sets --
2.2. Sets, counting, and the whole numbers --
2.3. Addition and subtraction of whole numbers --
2.4. Multiplication and division of whole numbers --
2.5. Functions --
Chapter 2 summary --
Chapter review exercises --
Chapter test --
3. Numeration and computation --
3.1. Numeration systems past and present --
3.2. Nondecimal positional systems --
3.3. Algorithms for adding and subtracting whole numbers --
3.4. Algorithms for multiplication and division of whole numbers --
3.5. Mental arithmetic and estimation --
3.6. Getting the most out of your calculator --
Chapter 3 summary --
Chapter review exercises --
Chapter test --
4. Number theory --
4.1. Divisibility of natural numbers --
4.2. Tests for divisibility --
4.3. Greatest common divisors and least common multiples --
4.4. Clock arithmetic --
Chapter 4 summary --
Chapter review exercises --
Chapter test --
5. Integers --
5.1. Representations of integers --
5.2. Addition and subtraction of integers --
5.3. Multiplication and division of integers --
Chapter 5 summary --
Chapter review exercises --
Chapter test --
6. Fractions and rational numbers --
6.1. The basic concepts of fractions and rational numbers --
6.2. The arithmetic of rational numbers --
6.3. The rational number system --
Chapter 6 summary --
Chapter review exercises --
Chapter test. 7. Decimals and real numbers --
7.1. Decimals --
7.2. Computations with decimals --
7.3. Ratio and proportion --
7.4. Percent --
Chapter 7 summary --
Chapter review exercises --
Chapter test --
8. Statistics : the interpretation of data --
8.1. The graphical representation of data --
8.2. Measures of central tendency and variability --
8.3. Statistical inference --
Chapter 8 summary --
Chapter review exercises --
Chapter test --
9. Probability --
9.1. Empirical probability --
9.2. Principles of counting --
9.3. Theoretical probability --
Chapter 9 summary --
Chapter review exercises --
Chapter test --
10. Geometric figures --
10.1. Figures in the plane --
10.2. Curves and polygons in the plane --
10.3. Figures in space --
10.4. Networks --
Chapter 10 summary --
Chapter review exercises --
Chapter test --
11. Measurement --
11.1. The measurement process --
11.2. Area and perimeter --
11.3. The Pythagorean theorem --
11.4. Surface area and volume --
Chapter 11 summary --
Chapter review exercises --
Chapter test --
12. Transformations, symmetries, and tilings --
12.1. Rigid motions and similarity transformation --
12.2. Patterns and symmetries --
12.3. Tilings and Escher-like designs --
Chapter 12 summary --
Chapter review exercises --
Chapter test --
13. Congruence, constructions, and similarity --
13.1. Congruent triangles --
13.2. Constructing geometric figures --
13.3. Similar triangles --
Chapter 13 summary --
Chapter review exercises --
Chapter test --
14. Coordinate geometry --
14.1. The Cartesian coordinate system --
14.2. LInes and their graphs --
14.3. Solving geometric problems using coordinates --
14.4. Graphing functions --
Chapter 14 summary --
Chapter review exercises --
Chapter test --
Appendices --
Appendix A. Manipulatives in the mathematics classroom --
Appendix B. Spreadsheets --
Appendix C. Graphing calculators --
Appendix D.A brief guide to The geometer's sketchpad --
Answers to selected problems.
Traditional skill and drill approach with activities for each chapter opener.
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