Mathematical Connections: A Companion for Teachers (Classroom Resource Material)

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9780883857397: Mathematical Connections: A Companion for Teachers (Classroom Resource Material)
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This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self-study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.

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Book Description:

This book is about some of the areas at the intersection of the key topics that form the foundations for high-school mathematics. Most importantly, the book is about some mathematical ways of thinking the author found extremely useful, both in his roles as a mathematician and as a mathematics instructor.

About the Author:

Al Cuoco is Senior Scientist and Director of the Center for Mathematics Education at Education Development Center. He taught high school mathematics to a wide range of students in the Woburn, Massachusetts public schools from 1969 until 1993. At EDC, he has worked in curriculum development, professional development, and education policy. A student of Ralph Greenberg, he received a Ph.D. from Brandeis in 1980, with a thesis and research in algebraic number theory.

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Al Cuoco
Published by The Mathematical Association of America (2005)
ISBN 10: 0883857391 ISBN 13: 9780883857397
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