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作者 Simonson, Shai
書名 Rediscovering Mathematics : You Do the Math
出版項 Washington : American Mathematical Society, 2011
©2011
國際標準書號 9780883859124 (electronic bk.)
9780883857809
book jacket
說明 1 online resource (240 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Classroom Resource Materials
Classroom Resource Materials
附註 cover -- Copyright page -- Title page -- Acknowledgements -- Contents -- A Guide for the Reader -- What is this Book About? -- Is this Book for You? -- Preliminaries -- Why Bother? -- How to Use this Book -- Introduction: How to Read Mathematics -- 1 An Example of Mathematical Writing---The Birthday Paradox -- 2 Our Reader Tackles the Birthday Paradox -- 3 Challenges -- Mathematical Discovery in the Classroom -- A Simple Lesson -- The Math Teacher as Conductor -- The Effective Teacher -- Challenges -- Don't Reach for Your Calculator (Yet) -- A Magic Trick -- Clever Calculations -- Pythagorean Triples -- Challenges -- Have Another Piece of Pie, Zeno? -- A Simpler Way -- Euclid, Proofs, and Writing Mathematics -- Challenges -- Thinking Like a Mathematician---Lessons from a Medieval Rabbi -- Rabbi Levi ben Gershon and his Sums -- The Number of Squares and Rectangles in a Grid -- The Triangle PuzzleA Model Mathematical Problem -- Challenges -- What is Mathematics Good For? -- Knock Hockey -- Basketball -- Rates of Growth -- Challenges -- Three Averages -- Average I. The Arithmetic Average -- Average II. The Harmonic Average -- Average III. The Geometric Average -- Exploring Averages -- Challenges -- Algorithms---The Unexpected Role of Pure Mathematics -- A Solution to the Two Jug Puzzle -- Euclid's Algorithm -- Other Methods for Calculating Greatest Common Divisors -- The Efficiency (or Speed) of an Algorithm -- The Egyptian Multiplication Algorithm -- The Fast Modular Exponentiation Algorithm -- Greatest Common Divisors, Algorithms, and E-Commerce -- E-Commerce and Cryptography -- The Rest of the Story---The RSA Algorithm -- Challenges -- Pythagoras' Theorem and Math by Pictures -- A Proof of Pythagoras' Theorem -- A Personal Experience -- The Height of a Pyramid -- Challenges -- Memorizing Versus Understanding -- Example 1: FOIL
Example 2: Square Roots -- Example 3: The Quadratic Equation -- A ̀̀Real Life" Quadratic Equation -- Challenges -- Games and Gambling -- A Carnival Game -- Craps -- The Careless Casino -- Challenges -- Soccer Balls and Counting Tricks -- Euler's Formula -- Platonic Solids -- Counting -- The Puzzle of the Soccer Ball -- Challenges -- Pizza Pi and Area -- Pi in the Bible -- The Area of a Circle -- A Hard Puzzle Involving Areas -- Challenges -- Back to the Classroom -- A Classroom Experience -- Emphasizing Understanding -- What Next? -- Resources for Rediscovering Mathematics -- Further Reading -- Index -- About the Author
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Simonson, Shai Rediscovering Mathematics : You Do the Math Washington : American Mathematical Society,c2011 9780883857809
主題 Mathematics -- Study and teaching.;Problem solving -- Study and teaching.;Mathematics -- Problems, exercises, etc
Electronic books
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