Thinking Critically | |
Some Surprising Tidbits | |
An Introduction to Problem Solving | |
Pólya's Problem-Solving Principles | |
More Problem-Solving Strategies | |
Additional Problem-Solving Strategies | |
Sets and Whole Numbers | |
Sets and Operations on Sets | |
Sets, Counting, and the Whole Numbers | |
Addition and Subtraction of Whole Numbers | |
Multiplication and Division of Whole Numbers | |
Numeration and Computation | |
Numeration Systems Past and Present | |
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 | |
Number Theory | |
Divisibility of Natural Numbers | |
Tests for Divisibility | |
Greatest Common Divisors and Least Common Multiples | |
Codes and Credit Card Numbers: Connections to Number Theory | |
Integers | |
Representation of Integers | |
Addition and Subtraction of Integers | |
Multiplication and Division of Integers | |
Clock Arithmetic | |
Fractions and Rational Numbers | |
The Basic Concepts of Fractions and Rational Numbers | |
The Arithmetic of Rational Numbers | |
The Rational Number System | |
Decimals and Real Numbers | |
Decimals | |
Computations with Decimals | |
Ratio and Proportion | |
Percent | |
Algebraic Reasoning and Representation | |
Algebraic Expressions and Equations | |
Functions | |
Graphing Functions in the Cartesian Plane | |
Statistics: The Interpretation of Data | |
The Graphical Representation of Data | |
Measures of Central Tendency and Variability | |
Statistical Inference | |
Probability | |
Empirical Probability | |
Principles of Counting | |
Theoretical Probability | |
Geometric Figures | |
Figures in the Plane | |
Curves and Polygons in the Plane | |
Figures in Space | |
Networks | |
Measurement | |
The Measurement Process | |
Area and Perimeter | |
The Pythagorean Theorem | |
Surface Area and Volume | |
Transformations, Symmetries, and Tilings | |
Rigid Motions and Similarity Transformations | |
Patterns and Symmetries | |
Tilings and Escher-like Designs | |
Congruence, Constructions, and Similarities | |
Congruent Triangles | |
Constructing Geometric Figures | |
Similar Triangles | |
Appendices | |
Manipulatives in the Mathematics Classroom | |
Spreadsheets | |
Graphing Calculators | |
A Brief Guide to The Geometer's Sketchpad | |
Resources | |
Answers to Selected Problems | |
Acknowledgments | |
Mathematical Lexicon | |
Index and Pronunciation Guide | |
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