Problem Solving: Strategies and Principles | |

Problem Solving | |

Inductive and Deductive Reasoning | |

Estimation | |

Set Theory: Using Mathematics to Classify Objects | |

The Language of Sets | |

Comparing Sets | |

Set Operations | |

Survey Problems | |

Looking Deeper: Infinite Sets | |

Logic: The Study of What's True or False or Somewhere in Between | |

Statements, Connectives, and Quantifiers | |

Truth Tables | |

The Conditional and Biconditional | |

Verifying Arguments | |

Using Euler Diagrams to Verify Syllogisms | |

Looking Deeper: Fuzzy Logic | |

Graph Theory (Networks): The Mathematics of Relationships | |

Graphs, Puzzles, and Map Coloring | |

The Traveling Salesperson Problem | |

Directed Graphs | |

Looking Deeper: Scheduling Projects Using PERT | |

Numeration Systems: Does It Matter How We Name Numbers? | |

The Evolution of Numeration Systems | |

Place Value Systems | |

Calculating in Other Bases | |

Looking Deeper: Modular Systems | |

Number Theory and the Real Number System: Understanding the Numbers All Around Us | |

Number Theory | |

The Integers | |

The Rational Numbers | |

The Real Number System | |

Exponents and Scientific Notation | |

Looking Deeper: Sequences | |

Algebraic Models: How Do We Approximate Reality? | |

Linear Equations | |

Modeling with Linear Equations | |

Modeling with Quadratic Equations | |

Exponential Equations and Growth | |

Proportions and Variation | |

Functions | |

Looking Deeper: Dynamical Systems | |

Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It? | |

Systems of Linear Equations | |

Systems of Linear Inequalities | |

Looking Deeper: Linear Programming | |

Consumer Mathematics: The Mathematics of Everyday Life | |

Percent | |

Interest | |

Consumer Loans | |

Annuities | |

Amortization | |

Personal Finance | |

Looking Deeper: The Annual Percentage Rate | |

Geometry: Ancient and Modern Mathematics Embrace | |

Lines, Angles, and Circles | |

Polygons | |

Perimeter and Area | |

Volume and Surface Area | |

The Metric System and Dimensional Analysi | |

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