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by Gary L. Musser, William F. Burger and Blake E. Peterson

Cover type: HardbackEdition: 7TH 06

Copyright: 2006

Publisher: John Wiley & Sons, Inc.

Published: 2006

International: No

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This leading mathematics text for elementary and middle school educators helps readers quickly develop a true understanding of mathematical concepts. It integrates rich problem-solving strategies with relevant topics and extensive opportunities for hands-on experience. By progressing from the concrete to the pictorial to the abstract, Musser captures the way math is generally taught in elementary schools.

**1. Introduction to Problem Solving.**

1.1 The Problem Solving Process and Strategies.

1.2 Three Additional Strategies.

**2. Sets, Whole Numbers, and Numeration.**

2.1 Sets as a Basis for Whole Numbers.

2.2 Whole Numbers and Numeration.

2.3 The Hindu-Arabic System.

2.4 Relations and Functions.

**3. Whole Numbers: Operations and Properties.**

3.1 Addition and Subtraction.

3.2 Multiplication and Division.

3.3 Ordering and Exponents.

**4. Whole Number Computation: Mental, Electronic, and Written.**

4.1 Mental Math, Estimation, and Calculators.

4.2 Written Algorithms for Whole-Number Operations.

4.3 Algorithms in Other Bases.

**5. Number Theory.**

5.1 Primes, Composites, and Tests for Divisibility.

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

**6. Fractions.**

6.1 The Sets of Fractions.

6.2 Fractions: Addition and Subtraction.

6.3 Fractions: Multiplication and Division.

**7. Decimals, Ratio, Proport ion, and Percent.**

7.1 Decimals.

7.2 Operations with decimals.

7.3 Ratios and Proportion.

7.4 Percent.

**8. Integers.**

8.1 Addition and Subtraction.

8.2 Multiplication, Division and Order.

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

9.1 The Rational Numbers.

9.2 The Real Numbers.

9.3 Functions and Their Graphs.

**10. Statistics.**

10.1 Organizing and Picturing Information.

10.2 Analyzing Data.

10.3 Misleading Graphs and Statistics.

**11. Probability.**

11.1 Probability and Simple Experiments.

11.2 Probability and Complex Experiments.

11.3 Additional Counting Techniques.

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

**12. Geometric Shapes.**

12.1 Recognizing Geometric Shapes.

12.2 Analyzing Shapes.

12.3 Properties of Geometric Shapes: Lines and Angles.

12.4 Regular Polygons and Tessellations.

12.5 Describing Three-Dimensional Shapes.

**13. Measurement.**

13.1 Measurement with Nonstandard and Standard Units.

13.2 Length and Area.

13.3 Surface Area.

13.4 Volume.

**14. Geometry Using Triangle Congruence and Similarity.**

14.1 Congruence of Triangles.

14.2 Similarity of Triangles.

14.3 Basic Euclidean Constructions.

14.4 Additional Euclidean Constructions.

14.5 Geometric Problem Solving Using Triangle Congruence and Similarity.

**15. Geometry Using Coordinates.**

15.1 Distance and Slope in the Coordinate Plane.

15.2 Equations and Coordinates.

15.3 Geometric Problem Solving Using Coordinates.

**16. Geometry Using Transformations.**

16.1 Transformations.

16.2 Congruence and Similarity Using Transformations.

16.3 Geometric Problem Solving Using Transformations.

Epilogue: An Eclectic Approach to Geometry.

Topic 1. Elementary Logic.

Topic 2. Clock Arithmetic: A Mathematical System.

Topic 3. Introduction to Graph Theory.

Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics.

Photo Credits.

Index.

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Summary

This leading mathematics text for elementary and middle school educators helps readers quickly develop a true understanding of mathematical concepts. It integrates rich problem-solving strategies with relevant topics and extensive opportunities for hands-on experience. By progressing from the concrete to the pictorial to the abstract, Musser captures the way math is generally taught in elementary schools.

Table of Contents

**1. Introduction to Problem Solving.**

1.1 The Problem Solving Process and Strategies.

1.2 Three Additional Strategies.

**2. Sets, Whole Numbers, and Numeration.**

2.1 Sets as a Basis for Whole Numbers.

2.2 Whole Numbers and Numeration.

2.3 The Hindu-Arabic System.

2.4 Relations and Functions.

**3. Whole Numbers: Operations and Properties.**

3.1 Addition and Subtraction.

3.2 Multiplication and Division.

3.3 Ordering and Exponents.

**4. Whole Number Computation: Mental, Electronic, and Written.**

4.1 Mental Math, Estimation, and Calculators.

4.2 Written Algorithms for Whole-Number Operations.

4.3 Algorithms in Other Bases.

**5. Number Theory.**

5.1 Primes, Composites, and Tests for Divisibility.

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

**6. Fractions.**

6.1 The Sets of Fractions.

6.2 Fractions: Addition and Subtraction.

6.3 Fractions: Multiplication and Division.

**7. Decimals, Ratio, Proport ion, and Percent.**

7.1 Decimals.

7.2 Operations with decimals.

7.3 Ratios and Proportion.

7.4 Percent.

**8. Integers.**

8.1 Addition and Subtraction.

8.2 Multiplication, Division and Order.

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

9.1 The Rational Numbers.

9.2 The Real Numbers.

9.3 Functions and Their Graphs.

**10. Statistics.**

10.1 Organizing and Picturing Information.

10.2 Analyzing Data.

10.3 Misleading Graphs and Statistics.

**11. Probability.**

11.1 Probability and Simple Experiments.

11.2 Probability and Complex Experiments.

11.3 Additional Counting Techniques.

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

**12. Geometric Shapes.**

12.1 Recognizing Geometric Shapes.

12.2 Analyzing Shapes.

12.3 Properties of Geometric Shapes: Lines and Angles.

12.4 Regular Polygons and Tessellations.

12.5 Describing Three-Dimensional Shapes.

**13. Measurement.**

13.1 Measurement with Nonstandard and Standard Units.

13.2 Length and Area.

13.3 Surface Area.

13.4 Volume.

**14. Geometry Using Triangle Congruence and Similarity.**

14.1 Congruence of Triangles.

14.2 Similarity of Triangles.

14.3 Basic Euclidean Constructions.

14.4 Additional Euclidean Constructions.

14.5 Geometric Problem Solving Using Triangle Congruence and Similarity.

**15. Geometry Using Coordinates.**

15.1 Distance and Slope in the Coordinate Plane.

15.2 Equations and Coordinates.

15.3 Geometric Problem Solving Using Coordinates.

**16. Geometry Using Transformations.**

16.1 Transformations.

16.2 Congruence and Similarity Using Transformations.

16.3 Geometric Problem Solving Using Transformations.

Epilogue: An Eclectic Approach to Geometry.

Topic 1. Elementary Logic.

Topic 2. Clock Arithmetic: A Mathematical System.

Topic 3. Introduction to Graph Theory.

Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics.

Photo Credits.

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 2006

International: No

Published: 2006

International: No

**1. Introduction to Problem Solving.**

1.1 The Problem Solving Process and Strategies.

1.2 Three Additional Strategies.

**2. Sets, Whole Numbers, and Numeration.**

2.1 Sets as a Basis for Whole Numbers.

2.2 Whole Numbers and Numeration.

2.3 The Hindu-Arabic System.

2.4 Relations and Functions.

**3. Whole Numbers: Operations and Properties.**

3.1 Addition and Subtraction.

3.2 Multiplication and Division.

3.3 Ordering and Exponents.

**4. Whole Number Computation: Mental, Electronic, and Written.**

4.1 Mental Math, Estimation, and Calculators.

4.2 Written Algorithms for Whole-Number Operations.

4.3 Algorithms in Other Bases.

**5. Number Theory.**

5.1 Primes, Composites, and Tests for Divisibility.

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

**6. Fractions.**

6.1 The Sets of Fractions.

6.2 Fractions: Addition and Subtraction.

6.3 Fractions: Multiplication and Division.

**7. Decimals, Ratio, Proport ion, and Percent.**

7.1 Decimals.

7.2 Operations with decimals.

7.3 Ratios and Proportion.

7.4 Percent.

**8. Integers.**

8.1 Addition and Subtraction.

8.2 Multiplication, Division and Order.

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

9.1 The Rational Numbers.

9.2 The Real Numbers.

9.3 Functions and Their Graphs.

**10. Statistics.**

10.1 Organizing and Picturing Information.

10.2 Analyzing Data.

10.3 Misleading Graphs and Statistics.

**11. Probability.**

11.1 Probability and Simple Experiments.

11.2 Probability and Complex Experiments.

11.3 Additional Counting Techniques.

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

**12. Geometric Shapes.**

12.1 Recognizing Geometric Shapes.

12.2 Analyzing Shapes.

12.3 Properties of Geometric Shapes: Lines and Angles.

12.4 Regular Polygons and Tessellations.

12.5 Describing Three-Dimensional Shapes.

**13. Measurement.**

13.1 Measurement with Nonstandard and Standard Units.

13.2 Length and Area.

13.3 Surface Area.

13.4 Volume.

**14. Geometry Using Triangle Congruence and Similarity.**

14.1 Congruence of Triangles.

14.2 Similarity of Triangles.

14.3 Basic Euclidean Constructions.

14.4 Additional Euclidean Constructions.

14.5 Geometric Problem Solving Using Triangle Congruence and Similarity.

**15. Geometry Using Coordinates.**

15.1 Distance and Slope in the Coordinate Plane.

15.2 Equations and Coordinates.

15.3 Geometric Problem Solving Using Coordinates.

**16. Geometry Using Transformations.**

16.1 Transformations.

16.2 Congruence and Similarity Using Transformations.

16.3 Geometric Problem Solving Using Transformations.

Epilogue: An Eclectic Approach to Geometry.

Topic 1. Elementary Logic.

Topic 2. Clock Arithmetic: A Mathematical System.

Topic 3. Introduction to Graph Theory.

Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics.

Photo Credits.

Index.