An Introduction to Problem Solving | |

Explorations with Patterns | |

Mathematics and Problem Solving | |

Algebraic Thinking | |

Logic: An Introduction | |

Sets, Whole Numbers and Functions | |

Describing Sets | |

Other Set Operations and Their Properties | |

Addition and Subtraction of Whole-Numbers | |

Multiplication and Division of Whole-Numbers | |

Functions | |

Whole Number Computation | |

Numeration Systems | |

Algorithms for Whole-Number Addition and Subtraction | |

Algorithms for Whole-Number Multiplication and Division | |

Mental Mathematics and Estimation for Whole-Number Operations | |

Integers and Number Theory | |

Integers and the Operations of Addition and Subtraction | |

Multiplication and Division of Integers | |

Divisibility | |

Prime and Composite Numbers | |

Greatest Common Divisor and Least Common Multiple | |

Clock and Modular Arithmetic | |

Rational Numbers as Fractions | |

The Set of Rational Numbers | |

Addition and Subtraction of Rational Numbers | |

Multiplication and Division of Rational Numbers | |

Proportional Reasoning | |

Decimals, Percents, and Real Numbers | |

Introduction to Decimals | |

Operations on Decimals | |

Nonterminating Decimals | |

Percents | |

Computing Interest | |

Real Numbers | |

Probability | |

How Probabilities Are Determined | |

Multistage Experiments with Tree Diagrams and Geometric Probabilities | |

Using Simulations in Probability | |

Odds and Expected Value | |

Methods of Counting | |

Statistics: An Introduction | |

Statistical Graphs | |

Measures of Central Tendency and Variation | |

Abuses of Statistics | |

Introductory Geometry | |

Basic Notions | |

Polygons | |

More About Angles | |

Geometry in Three Dimensions | |

Networks | |

Constructions, Congruence and Similarity | |

Congruence Through Constructions | |

Other Congruence Properties | |

Other Constructions | |

Similar Triangles and Similar Figures | |

Lines in a Cartesian Coordinate System | |

Concepts of Measurement | |

Linear Measure | |

Areas of Polygons and Circles | |

The Pythagorean Theorem | |

Surface Areas | |

Volume, Mass, and Temperature | |

Motion Geometry and Tessellations | |

Translations and Rotations | |

Reflections and Glide Reflections | |

Size Transformations | |

Symmetries | |

Tessellations of the Plane | |

Logo Turtle Graphics | |

Graphing Calculators | |

Using a Geometry Drawing Utility | |

Using a Spreadsheet | |

Answers to Selected Problems | |

Index | |

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