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. |
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... ideas , career information , etc. 101 Careers in Mathematics , 2nd edition , edited by Andrew Sterrett Archimedes : What Did He Do Besides Cry Eureka ?, Sherman Stein Calculus Mysteries and Thrillers , R. Grant Woods Combinatorics : A ...
... ideas , career information , etc. 101 Careers in Mathematics , 2nd edition , edited by Andrew Sterrett Archimedes : What Did He Do Besides Cry Eureka ?, Sherman Stein Calculus Mysteries and Thrillers , R. Grant Woods Combinatorics : A ...
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... idea for this book : a development of some mathematical topics and ideas , written perfect ) way to evolve several specifically for practicing or prospective high school teachers . There are several ideas at once . You'll develop things ...
... idea for this book : a development of some mathematical topics and ideas , written perfect ) way to evolve several specifically for practicing or prospective high school teachers . There are several ideas at once . You'll develop things ...
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... ideas from one course to another , and know when a student's idea is likely to grow into something that will be valuable for an entire class . But most mathematics courses in combinatorics , calculus , discrete mathematics , or number ...
... ideas from one course to another , and know when a student's idea is likely to grow into something that will be valuable for an entire class . But most mathematics courses in combinatorics , calculus , discrete mathematics , or number ...
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... ideas that it's impossible to list them all . But I have to mention a few : At the time of this writing ( January , 2004 ) , both Michelle and Ryota are graduate students in mathematics . • Michelle Manes , when she was my colleague at ...
... ideas that it's impossible to list them all . But I have to mention a few : At the time of this writing ( January , 2004 ) , both Michelle and Ryota are graduate students in mathematics . • Michelle Manes , when she was my colleague at ...
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... ideas will be connected to basic ideas in linear algebra . • Chapter 5 requires the ideas from Chapters 1 , 2 , and 4 , and little else . The last three chapters are somewhat independent , and each depends on the first two Actually ...
... ideas will be connected to basic ideas in linear algebra . • Chapter 5 requires the ideas from Chapters 1 , 2 , and 4 , and little else . The last three chapters are somewhat independent , and each depends on the first two Actually ...
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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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