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Rediscovering mathematics : you do the math /

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.--

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Simonson, Shai
সংস্থা লেখক: Mathematical Association of America
বিন্যাস: Printed Book
ভাষা:English
প্রকাশিত: United States of America: Mathematiical Association of America, 2011.
মালা:Classroom resource materials (Unnumbered)
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100 1 |a Simonson, Shai. 
245 1 0 |a Rediscovering mathematics :  |b you do the math /  |c Shai Simonson. 
260 |a United States of America:  |b Mathematiical Association of America,  |c 2011. 
300 |a xxxi, 207 p. :  |b ill. ;  |c 26 cm. 
490 1 |a Classroom resource materials 
504 |a Includes bibliographical references (p. 199-200) and index. 
505 0 |a 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? 
520 |a 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.-- 
650 0 |a Mathematics  |v Problems, exercises, etc. 
650 0 |a Problem solving  |x Study and teaching. 
650 0 |a Mathematics  |x Study and teaching. 
942 |c BK 
246 3 0 |a You do the math 
710 2 |a Mathematical Association of America. 
830 0 |a Classroom resource materials (Unnumbered) 
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