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 35
Stran xiii
... points in the text , there are historical notes and references . A very good source for further historical readings ... point to the end results . If you get tired , take a break or skip ahead . If you need something later , there will ...
... points in the text , there are historical notes and references . A very good source for further historical readings ... point to the end results . If you get tired , take a break or skip ahead . If you need something later , there will ...
Stran xvi
... points . This is a standardized test maker's nightmare : there is a unique polynomial of minimal degree that agrees with a table , but there are infinitely many polynomials of higher degree that work , too . We'll see how to get them ...
... points . This is a standardized test maker's nightmare : there is a unique polynomial of minimal degree that agrees with a table , but there are infinitely many polynomials of higher degree that work , too . We'll see how to get them ...
Stran xvii
... points on a plane . So , to get a “ graph ” of the function in the usual sense , you'd need four dimenThis chapter will contain a great sions , and we don't have that . But you can draw a picture of two complex planes thinkers ” among ...
... points on a plane . So , to get a “ graph ” of the function in the usual sense , you'd need four dimenThis chapter will contain a great sions , and we don't have that . But you can draw a picture of two complex planes thinkers ” among ...
Stran 2
... points of view : 1. In section 1.1 , we'll introduce a method to which we'll return in Chapter 5 . It is based on ... point . If this isn't clear , it will be shortly . 1. The ideas in section 1.1 form one of the important pieces ...
... points of view : 1. In section 1.1 , we'll introduce a method to which we'll return in Chapter 5 . It is based on ... point . If this isn't clear , it will be shortly . 1. The ideas in section 1.1 form one of the important pieces ...
Stran 54
Dosegli ste zgornjo mejo števila strani te knjige, ki je na voljo.
Dosegli ste zgornjo mejo števila strani te knjige, ki je na voljo.
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 |
Pogosti izrazi in povedi
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