## Teaching Mathematics: A Sourcebook of Aids, Activities, and StrategiesThe art of teaching math lies in the ability of the instructor to motivate and inspire individuals to look beyond the numbers and understand the concepts. This book is designed to revive this art, focusing more on the aspects of learning the ideas behind the math rather than the sheer mechanics of mathematical operation. This text addresses the art of teaching mathematics while also providing specific aids and activities in arithmetic, geometry, algebra and probability and statistics for use in the classroom. The authors pay close attention to the role, importance, methods and techniques of motivation. They present ideas that will generate attention, interest, and surprise among students, and will thus foster creative thinking. The material in the text is based on talks given by the authors at professional meetings, as well as the actual application of their ideas in undergraduate and graduate classes they taught. Additionally, many laboratory and discovery activities have been used by authors in teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents. |

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### Contents

Motivating Mathematical Learning | 27 |

Motivating Problem Solving Instruction | 53 |

Recreational and Enrichment Activities | 73 |

Copyright | |

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### Common terms and phrases

acetate activities algebra Archimedes binary notation Buffon's Needle bulletin board cards Chapter circle classroom coins computation concave polygons congruent conic sections construction continued fraction convex polygons coordinate geometry Council of Teachers counting numbers cube cuboctahedron decimal decision box Descartes discovery dodecahedron E. T. Bell edges Edward Kasner ellipse equation equilateral triangle Euler's formula example EXPERIMENT Fermat's Last Theorem Fibonacci sequence figure file cards finite differences FLEXAGON flow chart Fold formed fraction geoboard geometric series geometry George Polya given GO LET golden ratio golden rectangle googol Gottfried Leibniz graph graph paper grid grid draw guess Herbert Robbins Here hexagon hexahedron hexomino history of mathematics Howard Eves However hyperbola hypotenuse hypsometer Icosahedron illustrate inches input integers interesting James Newman Karl Friedrich Gauss Leonhard Euler magic cube magic square Maria Gaetana Agnesi Martin Gardner mathematical games mathematicians mathematics class Maurits Escher maximum number Men of Mathematics microcomputer monomino motivate Motivating Mathematical moves Multiply n-gon Napier's Rods National Council nomograph number of regions number of vertices octahedron overhead projector paper parabola Pascal's triangle pattern Paul Wolfskehl penny pentagon pentominoes pieces Pierre de Fermat player polygons polyhedrons polyominoes possible PRINT prisms probability problem problem solving problem-solving projected triangle Pythagorean theorem quadratic equation random random number table rectangle regular polygon regular polyhedrons Rhind Papyrus Richard Courant right triangle ruled surface school mathematics semiregular polyhedron semiregular tessellations sequence shown side solving Start strategy strip Subtract tangram Teachers of Mathematics teaching tessellations tetrahedron tetromino tic-tac-toe toothpicks topics total number Tower of Hanoi triomino truncated tetrahedron units digit vertex visualization Worksheet