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 ...
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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. 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 mentor of young people learning to do mathematics.
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Publisher:
Mathematical Association of America (MAA)
Published:
2005
Language:
English
Alibris ID:
17959854557
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Seller's Description:
Fine with no dust jacket. 0883857391. With illustrations. Light shelfwear.; "Mathematical Connections: A Companion for Teachers and Others" by Al Cuoco is an invaluable resource aimed primarily at educators looking to deepen their understanding of how various mathematical concepts interlink. This book excels in demonstrating how different areas of mathematics connect with each other and with real-world applications, providing a richer, more cohesive understanding of the subject. Cuoco employs a clear, accessible style that breaks down complex ideas into understandable segments, making it an excellent tool for teachers who wish to convey sophisticated mathematical ideas in a comprehensible and engaging manner. Each chapter focuses on different mathematical themes, offering practical strategies, examples, and problems that encourage an interactive learning environment. What sets this book apart is its emphasis on the integration of mathematical theory with teaching practice, making it not just a theoretical guide but a practical companion in the classroom. "Mathematical Connections" is not only a testament to Cuoco's deep knowledge of mathematics but also his understanding of the pedagogical needs of teachers. It is a must-read for educators who aspire to inspire a deeper appreciation and understanding of mathematics in their students.; Quarto; xx, 239 pages.
