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Problem Solving Approach to Mathematics for Elementary School Teachers

Problem Solving Approach to Mathematics for Elementary School Teachers - 8th edition

ISBN13: 978-0321156808

Cover of Problem Solving Approach to Mathematics for Elementary School Teachers 8TH 04 (ISBN 978-0321156808)
ISBN13: 978-0321156808
ISBN10: 0321156803
Cover type:
Edition: 8TH 04
Copyright: 2004
Publisher: Addison-Wesley Longman, Inc.
Published: 2004
International: No

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Problem Solving Approach to Mathematics for Elementary School Teachers - 8TH 04 edition

ISBN13: 978-0321156808

Rick Billstein, Shlomo Libeskind and Johnny W. Lott

ISBN13: 978-0321156808
ISBN10: 0321156803
Cover type:
Edition: 8TH 04
Copyright: 2004
Publisher: Addison-Wesley Longman, Inc.
Published: 2004
International: No

This best-selling text emphasizes solid mathematics content, problem-solving skills, and analytical techniques. The eighth edition focuses on the National Council of Teachers of Mathematics (NCTM) Principles and Standards 2000. The text allows for a variety of approaches to teaching, encourages discussion and collaboration among students and with their instructors, allows for the integration of projects into the curriculum, and promotes discovery and active learning. Students using this text will receive solid preparation in mathematics, develop confidence in their math skills and benefit from teaching and learning techniques that really work.


  • NCTM Principles and Standards for School Mathematics fully integrated throughout the text.
  • Chapter One is devoted to problem-solving with an added emphasis on inductive versus deductive reasoning.
  • Problem Solving Strategies are integrated throughout the text and reinforce the strong problem solving theme introduced in Chapter One.
  • There is an increased focus on algebraic thinking throughout the whole text.
  • A Preliminary Problem begins each chapter to get students interested in the topics about to be discussed. These have all been updated in this edition.
  • Applications of Mathematics are integrated throughout the text.
  • Laboratory Activities are integrated throughout the book to provide hands-on learning exercises. A separate activities manual is also available.
  • Questions from the Classroom present questions posed by actual students in K-8 classrooms.
  • Student Pages are included to show how the mathematics is actually introduced to the K-8 student and are referenced throughout the text.
  • Problem Sets contain six different types of problems (1) on-going assessment, (2) communication, (3) open-ended, (4) cooperative learning, (5) technology, and (6) review. Communication, open-ended, and cooperative learning problem sections are included to conform with the major Standards' processes. A major focus of the revision was to make the exercise sets more even with regard to level.
  • Technology Corners include spreadsheets, both graphing and scientific calculators, Geometer's Sketchpad, and computer activities.
  • Now Try This appears throughout each chapter. This feature helps students become actively involved in their learning, develops problem-solving skills and stimulates discussion.
  • Appendix: Geometer's Sketchpad offers information on using this geometry manipulation software in the classroom and at home.
  • Updated supplements package now includes MathXL and MyMathLab.

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.

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.
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.
*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.
More About Angles.
Geometry in Three Dimensions.

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.
*Tessellations of the Plane.

Appendix I. Using a Spreadsheet.
Appendix II. Graphing Calculators.
Appendix III. Using a Geometry Drawing Utility.
Answers to Selected Problems.

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