This book lets you solve problems in easier ways.
- Publication date:
- Edition description:
- Older Edition
- Product dimensions:
- 8.50(w) x 11.00(h) x 1.40(d)
Table of Contents
(Each chapter concludes with a Chapter Summary, Chapter Review Exercises, and a Chapter Test.)
To the Student.
1. Thinking Critically.
An Introduction to Problem Solving.
Pólya's Problem-Solving Principles.
More Problem-Solving Strategies.
Additional Problem-Solving Strategies.
Problem Solving in the Real World.
2. Sets, Whole Numbers, and Functions.
Sets, Counting, and the Whole Numbers.
Addition and Subtraction of Whole Numbers.
Multiplication and Division of Whole Numbers.
3. Numeration and Computation.
Nondecimal Positional Systems.
Algorithms for Adding and Subtracting Whole Numbers.
Algorithms for Multiplication and Division of Whole Numbers.
Mental Arithmetic and Estimation.
Getting the Most Out of Your Calculator.
4. Number Theory.
Tests for Divisibility.
Greatest Common Divisors and Least Common Multiples.
Addition and Subtraction of Integers.
Multiplication and Division of Integers.
6. Fractions and Rational Numbers.
The Arithmetic of Rational Numbers.
The Rational Number System.
7. Decimals and Real Numbers.
Computations with Decimals.
Ratio and Proportion.
8. Statistics: The Interpretation of Data.
Measures of Central Tendency and Variability.
Principals of Counting.
10. Geometric Figures.
Curves and Polygons in the Plane.
Figures in Space.
Area and Perimeter.
The Pythagorean Theorem.
Surface Area and Volume.
12. Transformations, Symmetries, and Tilings.
Patterns and Symmetries.
Tilings and Escher-like Designs.
13. Congruence, Constructions, and Similarity.
Constructing Geometric Figures.
14. Coordinate Geometry.
Lines and Their Graphs.
Solving Geometric Problems Using Coordinates.
Appendix A. Manipulatives in the Mathematics Classroom.
Appendix B. Spreadsheets.
Appendix C. Graphing Calculators.
Appendix D. A Brief Guide to The Geometer's Sketchpad.
Answers to Selected Problems.
Index and Pronunciation Guide.
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