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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.--
প্রধান লেখক: | |
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সংস্থা লেখক: | |
বিন্যাস: | Printed Book |
ভাষা: | English |
প্রকাশিত: |
United States of America:
Mathematiical Association of America,
2011.
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মালা: | Classroom resource materials (Unnumbered)
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বিষয়গুলি: |
LEADER | 03882cam a22003977a 4500 | ||
---|---|---|---|
008 | 101022s2011 dcua b 001 0 eng d | ||
999 | |c 335188 |d 335188 | ||
010 | |a 2010939888 | ||
016 | 7 | |a 015768212 |2 Uk | |
020 | |a 9780883857700 (hardback) | ||
020 | |a 0883857707 (hardback) | ||
020 | |a 9780883857809 (paperback) | ||
020 | |a 0883857804 (paperback) | ||
020 | |z 9780883859124 (ebook) | ||
035 | |a (OCoLC)ocn721622414 | ||
042 | |a lccopycat | ||
082 | 0 | 4 | |a 510 |2 22 |
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) | |
906 | |a 7 |b cbc |c copycat |d 2 |e epcn |f 20 |g y-gencatlg | ||
955 | |b rl07 2014-05-19 z-processor |i rl07 2014-05-19 to CALM | ||
955 | |a pc25 2010-10-22 |a th62 2011-06-17 to USPL/STM | ||
952 | |0 0 |1 0 |2 ddc |4 0 |6 510_000000000000000 |7 0 |9 383494 |a MAT |b MAT |c ST1 |d 2019-05-13 |i 6029 |l 0 |o 510 |p MAT6029 |r 2019-05-13 |w 2019-05-13 |y BK |