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 | |

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 | |

Relations and Functions | |

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 | |

Level Z- Relationships | |

An Introduction to a Formal Approach to Geometry | |

Regular Polygons, Tessellations, and Circles | |

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 | |

Table of Contents provided by Publisher. All Rights Reserved. |