| |
| |
| Preface | |
| |
| |
| |
| Introduction to Problem Solving | |
| |
| |
| |
| The Problem Solving Process and Strategies | |
| |
| |
| |
| Three Additional Strategies | |
| |
| |
| |
| Sets, Whole Numbers, and Numeration | |
| |
| |
| |
| Sets as a Basis for Whole Numbers | |
| |
| |
| |
| Whole Numbers and Numeration | |
| |
| |
| |
| The Hindu-Arabic System | |
| |
| |
| |
| Relations and Functions | |
| |
| |
| |
| Whole Numbers: Operations and Properties | |
| |
| |
| |
| Addition and Subtraction | |
| |
| |
| |
| Multiplication and Division | |
| |
| |
| |
| Ordering and Exponents | |
| |
| |
| |
| Whole Number Computation-Mental, Electronic, and Written | |
| |
| |
| |
| Mental Math, Estimation, and Calculators | |
| |
| |
| |
| Written Algorithms for Whole-Number Operations | |
| |
| |
| |
| Algorithms in Other Bases | |
| |
| |
| |
| Number Theory | |
| |
| |
| |
| Primes, Composites, and Tests for Divisibility | |
| |
| |
| |
| Counting Factors, Greatest Common Factor, and Least Common Multiple | |
| |
| |
| |
| Fractions | |
| |
| |
| |
| The Sets of Fractions | |
| |
| |
| |
| Fractions: Addition and Subtraction | |
| |
| |
| |
| Fractions: Multiplication and Division | |
| |
| |
| |
| Decimals, Ratio, Proportion, and Percent | |
| |
| |
| |
| Decimals | |
| |
| |
| |
| Operations with Decimals | |
| |
| |
| |
| Ratios and Proportion | |
| |
| |
| |
| Percent | |
| |
| |
| |
| Integers | |
| |
| |
| |
| Addition and Subtraction | |
| |
| |
| |
| Multiplication, Division, and Order | |
| |
| |
| |
| Rational Numbers, Real Numbers, and Algebra | |
| |
| |
| |
| The Rational Numbers | |
| |
| |
| |
| The Real Numbers | |
| |
| |
| |
| Functions and Their Graphs | |
| |
| |
| |
| Statistics | |
| |
| |
| |
| Organizing and Picturing Information | |
| |
| |
| |
| Misleading Graphs and Statistics | |
| |
| |
| |
| Analyzing Data | |
| |
| |
| |
| Probability | |
| |
| |
| |
| Probability and Simple Experiments | |
| |
| |
| |
| Probability and Complex Experiments | |
| |
| |
| |
| Additional Counting Techniques | |
| |
| |
| |
| Simulation, Expected Value, Odds, and Conditional Probability | |
| |
| |
| |
| Geometric Shapes | |
| |
| |
| |
| Recognizing Geometric Shapes | |
| |
| |
| |
| Analyzing Shapes | |
| |
| |
| |
| Properties of Geometric Shapes: Lines and Angles | |
| |
| |
| |
| Regular Polygons and Tessellations | |
| |
| |
| |
| Describing Three-Dimensional Shapes | |
| |
| |
| |
| Measurement | |
| |
| |
| |
| Measurement with Nonstandard and Standard Units | |
| |
| |
| |
| Length and Area | |
| |
| |
| |
| Surface Area | |
| |
| |
| |
| Volume | |
| |
| |
| |
| Geometry Using Triangle Congruence and Similarity | |
| |
| |
| |
| Congruence of Triangles | |
| |
| |
| |
| Similarity of Triangles | |
| |
| |
| |
| Basic Euclidean Constructions | |
| |
| |
| |
| Additional Euclidean Constructions | |
| |
| |
| |
| Geometric Problem Solving Using Triangle Congruence and Similarity | |
| |
| |
| |
| Geometry Using Coordinates | |
| |
| |
| |
| Distance and Slope in the Coordinate Plane | |
| |
| |
| |
| Equations and Coordinates | |
| |
| |
| |
| Geometric Problem Solving Using Coordinates | |
| |
| |
| |
| Geometry Using Transformations | |
| |
| |
| |
| Transformations | |
| |
| |
| |
| Congruence and Similarity Using Transformations | |
| |
| |
| |
| Geometric Problem Solving Using Transformations | |
| |
| |
| Epilogue: An Eclectic Approach to Geometry | |
| |
| |
| |
| Elementary Logic | |
| |
| |
| |
| Clock Arithmetic: A Mathematical System | |
| |
| |
| Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics A1 | |
| |
| |
| Photograph Credits P1 | |
| |
| |
| Index I1 | |