Preface | p. xi |

Introduction to Problem Solving | p. 1 |

The Problem Solving Process and Strategies | p. 3 |

Three Additional Strategies | p. 20 |

Sets, Whole Numbers, and Numeration | p. 43 |

Sets as a Basis for Whole Numbers | p. 45 |

Whole Numbers and Numeration | p. 59 |

The Hindu-Arabic System | p. 70 |

Relations and Functions | p. 82 |

Whole Numbers: Operations and Properties | p. 107 |

Addition and Subtraction | p. 109 |

Multiplication and Division | p. 123 |

Ordering and Exponents | p. 140 |

Whole Number Computation-Mental, Electronic, and Written | p. 155 |

Mental Math, Estimation, and Calculators | p. 157 |

Written Algorithms for Whole-Number Operations | p. 171 |

Algorithms in Other Bases | p. 192 |

Number Theory | p. 203 |

Primes, Composites, and Tests for Divisibility | p. 205 |

Counting Factors, Greatest Common Factor, and Least Common Multiple | p. 219 |

Fractions | p. 237 |

The Sets of Fractions | p. 239 |

Fractions: Addition and Subtraction | p. 255 |

Fractions: Multiplication and Division | p. 266 |

Decimals, Ratio, Proportion, and Percent | p. 285 |

Decimals | p. 287 |

Operations with Decimals | p. 297 |

Ratios and Proportion | p. 310 |

Percent | p. 320 |

Integers | p. 341 |

Addition and Subtraction | p. 343 |

Multiplication, Division, and Order | |

Rational Numbers, Real Numbers, and Algebra | p. 379 |

The Rational Numbers | p. 381 |

The Real Numbers | p. 399 |

Functions and Their Graphs | p. 417 |

Statistics | p. 439 |

Organizing and Picturing Information | p. 441 |

Misleading Graphs and Statistics | p. 464 |

Analyzing Data | p. 484 |

Probability | p. 513 |

Probability and Simple Experiments | p. 515 |

Probability and Complex Experiments | p. 532 |

Additional Counting Techniques | p. 549 |

Simulation, Expected Value, Odds, and Conditional Probability | p. 560 |

Geometric Shapes | p. 581 |

Recognizing Geometric Shapes | p. 583 |

Analyzing Shapes | p. 600 |

Properties of Geometric Shapes: Lines and Angles | p. 615 |

Regular Polygons and Tessellations | p. 628 |

Describing Three-Dimensional Shapes | p. 640 |

Measurement | p. 665 |

Measurement with Nonstandard and Standard Units | p. 667 |

Length and Area | p. 686 |

Surface Area | p. 707 |

Volume | p. 717 |

Geometry Using Triangle Congruence and Similarity | p. 739 |

Congruence of Triangles | p. 741 |

Similarity of Triangles | p. 752 |

Basic Euclidean Constructions | p. 765 |

Additional Euclidean Constructions | p. 777 |

Geometric Problem Solving Using Triangle Congruence and Similarity | p. 790 |

Geometry Using Coordinates | p. 807 |

Distance and Slope in the Coordinate Plane | p. 809 |

Equations and Coordinates | p. 822 |

Geometric Problem Solving Using Coordinates | p. 834 |

Geometry Using Transformations | p. 849 |

Transformations | p. 851 |

Congruence and Similarity Using Transformations | p. 875 |

Geometric Problem Solving Using Transformations | p. 893 |

Epilogue: An Eclectic Approach to Geometry | p. 909 |

Elementary Logic | p. 912 |

Clock Arithmetic: A Mathematical System | p. 923 |

Answers to Exercise/Problem Sets-Part A, Chapter Tests, and Topics A1 | |

Photograph Credits P1 | |

Index I1 | |

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