CourseSmart - 9780470105832 - Mathematics for Elementary Teachers: A Contemporary Approach, 8th Edition

Mathematics for Elementary Teachers: A Contemporary Approach, 8th Edition

by Musser, Gary L., Oregon State University; Peterson, Blake E., Brigham Young University, Utah; Burger, William F.

Publisher: John Wiley & Sons

Publishing Date: 2008/01/02

eText ISBN-10

0-470-28225-8

eText ISBN-13

978-0-470-28225-0

Print ISBN-10

0-470-10583-6

Print ISBN-13

978-0-470-10583-2

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Mathematics for Elementary Teachers: A Contemporary Approach, 8th Edition

by Musser, Gary L., Oregon State University; Peterson, Blake E., Brigham Young University, Utah; Burger, William F.

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About the Authors, v

Preface, xi

1. Introduction to Problem Solving, 1

1.1. The Problem Solving Process and Strategies, 3

1.2. Three Additional Strategies, 20

2. Sets, Whole Numbers, and Numeration, 43

2.1. Sets as a Basis for Whole Numbers, 45

2.2. Whole Numbers and Numeration, 59

2.3. The Hindu–Arabic System, 70

2.4. Relations and Functions, 82

3. Whole Numbers: Operations and Properties, 107

3.1. Addition and Subtraction, 109

3.2. Multiplication and Division, 123

3.3. Ordering and Exponents, 140

4. Whole Number Computation—Mental, Electronic, and Written, 155

4.1. Mental Math, Estimation, and Calculators, 157

4.2. Written Algorithms for Whole-Number Operations, 171

4.3. Algorithms in Other Bases, 192

5. Number Theory, 203

5.1. Primes, Composites, and Tests for Divisibility, 205

5.2. Counting Factors, Greatest Common Factor, and Least Common Multiple, 219

6. Fractions, 237

6.1. The Sets of Fractions, 239

6.2. Fractions: Addition and Subtraction, 255

6.3. Fractions: Multiplication and Division, 266

7. Decimals, Ratio, Proportion, and Percent, 285

7.1. Decimals, 287

7.2. Operations with Decimals, 297

7.3. Ratios and Proportion, 310

7.4. Percent, 320

8. Integers, 341

8.1. Addition and Subtraction, 343

8.2. Multiplication, Division, and Order, 357

9. Rational Numbers, Real Numbers, and Algebra, 379

9.1. The Rational Numbers, 381

9.2. The Real Numbers, 399

9.3. Functions and Their Graphs, 417

10. Statistics, 439

10.1. Organizing and Picturing Information, 441

10.2. Misleading Graphs and Statistics, 464

10.3. Analyzing Data, 484

11. Probability, 513

11.1. Probability and Simple Experiments, 515

11.2. Probability and Complex Experiments, 532

11.3. Additional Counting Techniques, 549

11.4. Simulation, Expected Value, Odds, and Conditional Probability, 560

12. Geometric Shapes, 581

12.1. Recognizing Geometric Shapes, 583

12.2. Analyzing Shapes, 600

12.3. Properties of Geometric Shapes: Lines and Angles, 615

12.4. Regular Polygons and Tessellations, 628

12.5. Describing Three-Dimensional Shapes, 640

13. Measurement, 665

13.1. Measurement with Nonstandard and Standard Units, 667

13.2. Length and Area, 686

13.3. Surface Area, 707

13.4. Volume, 717

14. Geometry Using Triangle Congruence and Similarity, 739

14.1. Congruence of Triangles, 741

14.2. Similarity of Triangles, 752

14.3. Basic Euclidean Constructions, 765

14.4. Additional Euclidean Constructions, 777

14.5. Geometric Problem Solving Using Triangle Congruence and Similarity, 790

15. Geometry Using Coordinates, 807

15.1. Distance and Slope in the Coordinate Plane, 809

15.2. Equations and Coordinates, 822

15.3. Geometric Problem Solving Using Coordinates, 834

16. Geometry Using Transformations, 849

16.1. Transformations, 851

16.2. Congruence and Similarity Using Transformations, 875

16.3. Geometric Problem Solving Using Transformations, 893

Epilogue: An Eclectic Approach to Geometry, 909

Topic 1. Elementary Logic, 912

Topic 2. Clock Arithmetic: A Mathematical System, 923

Answers to Exercise/Problem Sets—Part A, Chapter Tests, and Topics, A1

Photograph Credits, P1

Index, I1

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