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ISBN13: 978-0321156808

ISBN10: 0321156803

Edition: 8TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

ISBN10: 0321156803

Edition: 8TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

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.

Author Bio

**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.

ISBN10: 0321156803

Edition: 8TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

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.

Author Bio

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.

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