Mathematical Connections: A Companion for Teachers and OthersAmerican Mathematical Soc., 31. dec. 2005 - 239 strani Mathematical Connections 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. |
Iz vsebine knjige
Zadetki 1–5 od 23
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... high school seniors as part of a curriculum called The CME Project [ 15 ] . That important results in senior course provides students who have completed the equivalent of secondmathematics . The CME Project concentrates on important year ...
... high school seniors as part of a curriculum called The CME Project [ 15 ] . That important results in senior course provides students who have completed the equivalent of secondmathematics . The CME Project concentrates on important year ...
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... high school teaching , both in my role as a mathematician and as a mentor for young people learning to do mathematics . I've picked out a suite of ideas that are a joy to my mind ( and that I think you'll enjoy ) , that will be useful ...
... high school teaching , both in my role as a mathematician and as a mentor for young people learning to do mathematics . I've picked out a suite of ideas that are a joy to my mind ( and that I think you'll enjoy ) , that will be useful ...
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A Companion for Teachers and Others Al Cuoco. • teacher study groups in a high school department , • self study . Some of the problems are hard , and some ask you to fill in holes in the exposition . Many are accompanied by hints or ...
A Companion for Teachers and Others Al Cuoco. • teacher study groups in a high school department , • self study . Some of the problems are hard , and some ask you to fill in holes in the exposition . Many are accompanied by hints or ...
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A Companion for Teachers and Others Al Cuoco. the thousands of high school students and teachers with whom I've been privileged to work over the past three decades . Beverly Ruedi , Elaine Pedreira , and Don Albers from MAA were very ...
A Companion for Teachers and Others Al Cuoco. the thousands of high school students and teachers with whom I've been privileged to work over the past three decades . Beverly Ruedi , Elaine Pedreira , and Don Albers from MAA were very ...
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... high school curriculum takes the subject . In this chapter , we'll develop an extensive theory of finite differences : • We'll look at why a constant third difference implies a cubic fit . And more generally . we'll see why a constant ...
... high school curriculum takes the subject . In this chapter , we'll develop an extensive theory of finite differences : • We'll look at why a constant third difference implies a cubic fit . And more generally . we'll see why a constant ...
Vsebina
1 | |
The Algebra of Polynomials | 53 |
Chapter 3 Complex Numbers Complex Maps and Trigonometry | 101 |
Chapter 4 Combinations and Locks | 161 |
Chapter 5 Sums of Powers | 199 |
Bibliography | 235 |
Index | 237 |
About the Author | 239 |
Back cover | 241 |
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