## A Mathematical Mosaic: Patterns & Problem SolvingExcerpt from a review in the "Mathematics Teacher." A Mathematical Mosaic is a collection of wonderful topics from nmber theory through combinatorics to game theory, presented in a fashion that seventh- and eighth- grade students can handle yet high school students will find challenging." John Cocharo, Saint Mark's School of Texas, Dallas, TX |

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### Contents

The Secret Behind the Magic Birthday Predictor Cards | 30 |

Do What You Enjoy | 40 |

How the Mathematical Card Trick Works | 51 |

Game Theory | 64 |

Social Choice Theory | 73 |

The Falling Ladder Problem | 85 |

The World Series | 92 |

The Triangles of Pascal Chu ShihChieh and Sierpinski | 98 |

The Pythagorean Pentagram The Golden Mean Strange Trigonometry | 154 |

A DoIt Yourself Proof of Herons Formula | 160 |

From Common Sense to Einstein | 166 |

More Locus Hokus Pokus | 173 |

The Harmonic Series | 179 |

Sherlock Holmes Secret Strategy | 186 |

The Man Who Solved the System of the World | 196 |

A Big Yes Goes Through my Head | 205 |

Chessboard Coloring | 105 |

Another Chessboard Tiling Problem | 111 |

Numbers Numbers and More Numbers | 118 |

Prime Numbers in Number Theory | 124 |

A Strange Result in Base 2 and Base 5 | 131 |

A Mathematical Genius of the Highest Order | 137 |

Fibonacci The Golden Mean | 146 |

Three Impossible Problems of Antiquity | 215 |

Infinity Revisited | 226 |

An Infinitude of Infinities | 234 |

The Youngest Tenured Professor in Harvard History | 241 |

248 | |

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### Common terms and phrases

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