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Edition: 8TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

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An Introduction to Problem Solving. Sets, Whole Numbers, and Functions. Numeration Systems and Whole-Number Computation. Integers and Number Theory. Rational Numbers as Fractions. Decimals, Percents, and Real Numbers. Probability. Data Analysis/ Statistics: An Introduction. Introductory Geometry. Constructions, Congruence, and Similarity. Concepts of Measurement. Motion Geometry and Tessellations.

For all readers interested in mathematics for elementary school teachers.

**Billstein, Rick : University of Montana Libeskind, Shlomo : University of Oregon Lott, Johnny W. :University of Montana**

**1. An Introduction to Problem Solving. **

Explorations with Patterns.

Mathematics and Problem Solving.

Algebraic Thinking.

*Logic: An Introduction.

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

Describing Sets.

Other Set Operations and Their Properties.

Addition and Subtraction of Whole-Numbers.

Multiplication and Division of Whole-Numbers.

Functions.

**3. Numeration Systems and Whole Number Computation. **

Numeration Systems.

Algorithms for Whole-Number Addition and Subtraction.

Algorithms for Whole-Number Multiplication and Division.

Mental Mathematics and Estimation for Whole-Number Operations.

**4. Integers and Number Theory. **

Integers and the Operations of Addition and Subtraction.

Multiplication and Division of Integers.

Divisibility.

Prime and Composite Numbers.

Greatest Common Divisor and Least Common Multiple.

*Clock and Modular Arithmetic.

**5. Rational Numbers as Fractions. **

The Set of Rational Numbers.

Addition and Subtraction of Rational Numbers.

Multiplication and Division of Rational Numbers.

Proportional Reasoning.

**6. Decimals, Percents, and Real Numbers.**

Introduction to Decimals.

Operations on Decimals.

Nonterminating Decimals.

Percents.

*Computing Interest.

Real Numbers.

**7. Probability. **

How Probabilities Are Determined.

Multistage Experiments with Tree Diagrams and Geometric Probabilities.

Using Simulations in Probability.

Odds, Conditional Probability, and Expected Value.

Using Permutations and Combinations in Probability.

**8. Data Analysis/Statistics: An Introduction. **

Statistical Graphs.

Measures of Central Tendency and Variation.

Abuses of Statistics.

**9. Introductory Geometry. **

Basic Notions.

Polygons.

More About Angles.

Geometry in Three Dimensions.

*Networks.

**10. Constructions, Congruence, and Similarity.**

Congruence Through Constructions.

Other Congruence Properties.

Other Constructions.

Similar Triangles and Similar Figures.

Trigonometry Rations via Similarity

Lines in a Cartesian Coordinate System.

**11. Concepts of Measurement. **

Linear Measure.

Areas of Polygons and Circles.

The Pythagorean Theorem.

Surface Areas.

Volume, Mass, and Temperature.

**12. Motion Geometry and Tessellations. **

Translations and Rotations.

Reflections and Glide Reflections.

Size Transformations.

Symmetries.

*Tessellations of the Plane.

**Appendix I.** Using a Spreadsheet.

**Appendix II.** Graphing Calculators.

**Appendix III.** Using a Geometry Drawing Utility.

Answers to Selected Problems.

Index.

Summary
**Setting the Standard for Tomorrow's Teachers: **This best-selling text continues as a comprehensive, skills-based resource for future teachers. In this edition, readers will benefit from additional emphasis on active and collaborative learning. Revised and updated content will better prepare readers for the day when they will be teachers with students of their own.

An Introduction to Problem Solving. Sets, Whole Numbers, and Functions. Numeration Systems and Whole-Number Computation. Integers and Number Theory. Rational Numbers as Fractions. Decimals, Percents, and Real Numbers. Probability. Data Analysis/ Statistics: An Introduction. Introductory Geometry. Constructions, Congruence, and Similarity. Concepts of Measurement. Motion Geometry and Tessellations.

For all readers interested in mathematics for elementary school teachers.

Author Bio

**Billstein, Rick : University of Montana Libeskind, Shlomo : University of Oregon Lott, Johnny W. :University of Montana**

Table of Contents

**1. An Introduction to Problem Solving. **

Explorations with Patterns.

Mathematics and Problem Solving.

Algebraic Thinking.

*Logic: An Introduction.

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

Describing Sets.

Other Set Operations and Their Properties.

Addition and Subtraction of Whole-Numbers.

Multiplication and Division of Whole-Numbers.

Functions.

**3. Numeration Systems and Whole Number Computation. **

Numeration Systems.

Algorithms for Whole-Number Addition and Subtraction.

Algorithms for Whole-Number Multiplication and Division.

Mental Mathematics and Estimation for Whole-Number Operations.

**4. Integers and Number Theory. **

Integers and the Operations of Addition and Subtraction.

Multiplication and Division of Integers.

Divisibility.

Prime and Composite Numbers.

Greatest Common Divisor and Least Common Multiple.

*Clock and Modular Arithmetic.

**5. Rational Numbers as Fractions. **

The Set of Rational Numbers.

Addition and Subtraction of Rational Numbers.

Multiplication and Division of Rational Numbers.

Proportional Reasoning.

**6. Decimals, Percents, and Real Numbers.**

Introduction to Decimals.

Operations on Decimals.

Nonterminating Decimals.

Percents.

*Computing Interest.

Real Numbers.

**7. Probability. **

How Probabilities Are Determined.

Multistage Experiments with Tree Diagrams and Geometric Probabilities.

Using Simulations in Probability.

Odds, Conditional Probability, and Expected Value.

Using Permutations and Combinations in Probability.

**8. Data Analysis/Statistics: An Introduction. **

Statistical Graphs.

Measures of Central Tendency and Variation.

Abuses of Statistics.

**9. Introductory Geometry. **

Basic Notions.

Polygons.

More About Angles.

Geometry in Three Dimensions.

*Networks.

**10. Constructions, Congruence, and Similarity.**

Congruence Through Constructions.

Other Congruence Properties.

Other Constructions.

Similar Triangles and Similar Figures.

Trigonometry Rations via Similarity

Lines in a Cartesian Coordinate System.

**11. Concepts of Measurement. **

Linear Measure.

Areas of Polygons and Circles.

The Pythagorean Theorem.

Surface Areas.

Volume, Mass, and Temperature.

**12. Motion Geometry and Tessellations. **

Translations and Rotations.

Reflections and Glide Reflections.

Size Transformations.

Symmetries.

*Tessellations of the Plane.

**Appendix I.** Using a Spreadsheet.

**Appendix II.** Graphing Calculators.

**Appendix III.** Using a Geometry Drawing Utility.

Answers to Selected Problems.

Index.

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

Published: 2004

International: No

An Introduction to Problem Solving. Sets, Whole Numbers, and Functions. Numeration Systems and Whole-Number Computation. Integers and Number Theory. Rational Numbers as Fractions. Decimals, Percents, and Real Numbers. Probability. Data Analysis/ Statistics: An Introduction. Introductory Geometry. Constructions, Congruence, and Similarity. Concepts of Measurement. Motion Geometry and Tessellations.

For all readers interested in mathematics for elementary school teachers.

Libeskind, Shlomo : University of Oregon

Lott, Johnny W. :University of Montana

**1. An Introduction to Problem Solving. **

Explorations with Patterns.

Mathematics and Problem Solving.

Algebraic Thinking.

*Logic: An Introduction.

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

Describing Sets.

Other Set Operations and Their Properties.

Addition and Subtraction of Whole-Numbers.

Multiplication and Division of Whole-Numbers.

Functions.

**3. Numeration Systems and Whole Number Computation. **

Numeration Systems.

Algorithms for Whole-Number Addition and Subtraction.

Algorithms for Whole-Number Multiplication and Division.

Mental Mathematics and Estimation for Whole-Number Operations.

**4. Integers and Number Theory. **

Integers and the Operations of Addition and Subtraction.

Multiplication and Division of Integers.

Divisibility.

Prime and Composite Numbers.

Greatest Common Divisor and Least Common Multiple.

*Clock and Modular Arithmetic.

**5. Rational Numbers as Fractions. **

The Set of Rational Numbers.

Addition and Subtraction of Rational Numbers.

Multiplication and Division of Rational Numbers.

Proportional Reasoning.

**6. Decimals, Percents, and Real Numbers.**

Introduction to Decimals.

Operations on Decimals.

Nonterminating Decimals.

Percents.

*Computing Interest.

Real Numbers.

**7. Probability. **

How Probabilities Are Determined.

Multistage Experiments with Tree Diagrams and Geometric Probabilities.

Using Simulations in Probability.

Odds, Conditional Probability, and Expected Value.

Using Permutations and Combinations in Probability.

**8. Data Analysis/Statistics: An Introduction. **

Statistical Graphs.

Measures of Central Tendency and Variation.

Abuses of Statistics.

**9. Introductory Geometry. **

Basic Notions.

Polygons.

More About Angles.

Geometry in Three Dimensions.

*Networks.

**10. Constructions, Congruence, and Similarity.**

Congruence Through Constructions.

Other Congruence Properties.

Other Constructions.

Similar Triangles and Similar Figures.

Trigonometry Rations via Similarity

Lines in a Cartesian Coordinate System.

**11. Concepts of Measurement. **

Linear Measure.

Areas of Polygons and Circles.

The Pythagorean Theorem.

Surface Areas.

Volume, Mass, and Temperature.

**12. Motion Geometry and Tessellations. **

Translations and Rotations.

Reflections and Glide Reflections.

Size Transformations.

Symmetries.

*Tessellations of the Plane.

**Appendix I.** Using a Spreadsheet.

**Appendix II.** Graphing Calculators.

**Appendix III.** Using a Geometry Drawing Utility.

Answers to Selected Problems.

Index.