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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Zadetki 1–5 od 80
Stran ix
... Algebra of Polynomials 2.1 Polynomials .. 2.2 The Basic Theorems . 2.3 Coefficients and Values 2.4 Up a Level .. 2.5 Transformations 2.6 Coefficients and Zeros . . 54 63 .68 . 78 .82 .88 3 Complex Numbers , Complex Maps , and ...
... Algebra of Polynomials 2.1 Polynomials .. 2.2 The Basic Theorems . 2.3 Coefficients and Values 2.4 Up a Level .. 2.5 Transformations 2.6 Coefficients and Zeros . . 54 63 .68 . 78 .82 .88 3 Complex Numbers , Complex Maps , and ...
Stran xi
... algebra an exposure to some important ideas in classical and methods for obtaining those modern mathematics . More importantly , the course shows students some of the results . ways in which mathematicians work . In developing The CME ...
... algebra an exposure to some important ideas in classical and methods for obtaining those modern mathematics . More importantly , the course shows students some of the results . ways in which mathematicians work . In developing The CME ...
Stran xii
... algebra and algebraic thinking in most of the chapters . I've found it productive to focus on one thing at a time , and the particular approaches used in this book — things like abstracting regularity from repeated calculations — have ...
... algebra and algebraic thinking in most of the chapters . I've found it productive to focus on one thing at a time , and the particular approaches used in this book — things like abstracting regularity from repeated calculations — have ...
Stran xiii
... algebraic calculations , not just for the fun of it , but because there's a point to the end results . If you get tired , take a break or skip ahead . If you need something later , there will be pointers to the relevant problems ...
... algebraic calculations , not just for the fun of it , but because there's a point to the end results . If you get tired , take a break or skip ahead . If you need something later , there will be pointers to the relevant problems ...
Stran xvi
... Algebra System . ” A CAS is a software environment that allows you to simplify , expand , and transform algebraic expressions . Examples are Mathematica and the CAS on the TI - 89 calculator . This is a chapter about algebra . In ...
... Algebra System . ” A CAS is a software environment that allows you to simplify , expand , and transform algebraic expressions . Examples are Mathematica and the CAS on the TI - 89 calculator . This is a chapter about algebra . In ...
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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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