LEADER 04308nam 2200625 a 450 001 9910791748503321 005 20200520144314.0 010 $a0-88385-912-2 035 $a(CKB)2560000000081389 035 $a(EBL)3330348 035 $a(SSID)ssj0001101031 035 $a(PQKBManifestationID)11726520 035 $a(PQKBTitleCode)TC0001101031 035 $a(PQKBWorkID)11066430 035 $a(PQKB)11355423 035 $a(MiAaPQ)EBC3330348 035 $a(Au-PeEL)EBL3330348 035 $a(CaPaEBR)ebr10722459 035 $a(OCoLC)939263606 035 $a(RPAM)16513763 035 $a(EXLCZ)992560000000081389 100 $a20101022d2011 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRediscovering mathematics$b[electronic resource] $eyou do the math /$fShai Simonson 210 $aWashington, D.C. $cMathematical Association of America$d2011 215 $a1 online resource (0 p.) 225 1 $aClassroom resource materials 300 $aDescription based upon print version of record. 311 $a0-88385-780-4 311 $a0-88385-770-7 320 $aIncludes bibliographical references and index. 327 $aIntroduction: 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? 330 $aRediscovering mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics.--$cP. [4] of Cover. 410 0$aClassroom resource materials (Unnumbered) 517 3 $aYou do the math 606 $aMathematics$xStudy and teaching 606 $aProblem solving$xStudy and teaching 606 $aMathematics$vProblems, exercises, etc 615 0$aMathematics$xStudy and teaching. 615 0$aProblem solving$xStudy and teaching. 615 0$aMathematics 676 $a510 700 $aSimonson$b Shai$01478617 712 02$aMathematical Association of America, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910791748503321 996 $aRediscovering mathematics$93694359 997 $aUNINA