Rediscovering mathematics you do the math / Shai Simonson.

Author/creator Simonson, Shai
Other author Mathematical Association of America.
Format Electronic
Publication Info[Washington, DC] : Mathematical Association of America, c2011.
Descriptionxxxi, 207 p. : ill. ; 26 cm.
Supplemental ContentFull text available from Ebook Central - Academic Complete
Supplemental ContentFull text available from Ebook Central - Public Library Complete
Subjects
Mathematics--Problems, exercises, etc.
Problem solving--Study and teaching.
Mathematics--Study and teaching.

Portion of title You do the math
SeriesClassroom resource materials
Classroom resource materials (Unnumbered) ^A582258
Contents Introduction: How to read mathematics. An example of mathematical writing-the birthday paradox -- Our reader tackles the birthday paradox -- Challenges -- 1. Mathematical discovery in the classroom. A simple lesson -- The math teacher as conductor -- The effective teacher -- Challenges -- 2. Don't reach for your calendar (Yet). A magic trick -- Clever calculations -- Pythagorean triples -- Challenges -- 3. Have another piece of pie, Zeno? A simpler way -- Euclid, proofs, and writing mathematics -- Challenges -- 4. 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 puzzle-a model mathematics problem -- Challenges -- 5. What is mathematics good for? Knock hockey -- Basketball -- Rates of growth -- Challenges -- 6. Three averages. Average I. The Arithmetic Average -- Average II. The Harmonic Average -- Average III. The Geometric Average -- Exploring averages -- Challenges -- 7. 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 Mutliplication Algorithm -- The fast Modular Exponential Algorithm -- Greatest Common Divisors, algorithms, and e-commerce -- E-commerce and cryptography -- The rest of the story-the RSA Algorithm -- Challenges -- 8. Pythagoras' theorem and math by pictures. A proof of Pythagoras' Theorem -- A personal experience -- The height of a pyramid -- Challenges -- 9. Memorizing versus understanding. Example 1: FOIL -- Example 2: Square roots -- Example 3: The quadratic equation -- A "real life" quadratic equation -- Challenges -- 10. Games and gambling. A carnival game -- Craps -- The careless casino -- Challenges -- 11. Soccer balls and counting tricks. Euler's Formula -- Platonic solids -- Counting -- The puzzle of the soccer ball -- Challenges -- 12. Pizza Pi and area. Pi and the bible -- The area of a circle -- A hard puzzle involving areas -- Challenges -- 13. Back to the classroom. A classroom experience -- Emphasizing understanding -- What next?
Abstract Rediscovering mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics.-- P. [4] of Cover.
Bibliography noteIncludes bibliographical references (p. 199-200) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2010939888
ISBN9780883857700 (hardback)
ISBN0883857707 (hardback)
ISBN9780883857809 (paperback)
ISBN0883857804 (paperback)