LEADER 04151nam 22004935 450 001 9910299525303321 005 20230810191510.0 010 $a9783319568119 010 $a3319568116 024 7 $a10.1007/978-3-319-56811-9 035 $a(CKB)4100000000587720 035 $a(DE-He213)978-3-319-56811-9 035 $a(MiAaPQ)EBC5041594 035 $a(EXLCZ)994100000000587720 100 $a20170907d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aS.M.A.R.T. Circle Projects /$fby Andy Liu 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIV, 220 p. 158 illus.) 225 1 $aSpringer Texts in Education,$x2366-7680 311 08$a9783319568102 311 08$a3319568108 320 $aIncludes bibliographical references. 327 $aPreface -- Table of Contents -- Chapter 1. Error-Correcting Codes -- Section 1. From the Alt Code to the Hamming Code -- Section 2. Two Applications of the Hamming Code -- Section 3. Reed-Muller Code -- Chapter 2. Regular and Semi-regular Polyhedra -- Section 1. Regular Polyhedra -- Section 2. A Polyhedral Metamorphosis -- Section 3. Semi-Regular Polyhedra -- Chapter 3. Polyform Compatibility -- Section 1. Tetris Number Theory -- Section 2. Tetris Algebra -- Section 3. Other Compatibility Problems -- Chapter 4. Mathematical Chess Problems -- Section 1. Adventures of an Apprentice Rook -- Section 2. Martin Gardner?s Royal Problem -- Section 3. Knight Tours -- Chapter 5. Mathematical Induction -- Section 1. The Towers of Hanoi -- Section 2. A Problem on Greatest Common Divisors -- Section 3. Congo Bongo -- Chapter 6. Number Triangles -- Section 1. Pascal?s Triangle -- Section 2. Rascal?s Triangle -- Section 3. Triangles of Asbolute Difference -- Chapter 7. Summation Formulae -- Section 1. Sums of Powers of Integers -- Section 2. Zig-Zag -- Section 3. Two Great Escapes -- Chapter 8. Finite Projective Geometries -- Section 1. Lions and Ponies -- Section 2. Star Wars -- Section 3. Convenient Buildings -- Chapter 9. Sharing Loots -- Section 1. Sharing Jewels -- Section 2. Sharing Gold and Silver -- Section 3. Sharing Rum -- Chapter 10. Puzzling Adventures -- Section 1. Circuits Checking Circuits -- Section 2. The Coach?s Dilemma -- Section 3. The Campers? Problem -- Appendix Additional Problems. 330 $aThis book describes projects in a Mathematical ?Circle,? i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the second volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials.  This book, Volume II, is based on the papers published in scientific and education journals by the Circle members while they were still in junior high school (some still in elementary school). In essence, it explains the purpose of the Circle. Volume I describes how to run a Circle, and Volume III explains what actually takes place in the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to co nduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own. 410 0$aSpringer Texts in Education,$x2366-7680 606 $aMathematics$xStudy and teaching 606 $aMathematics Education 615 0$aMathematics$xStudy and teaching. 615 14$aMathematics Education. 676 $a510.76 700 $aLiu$b Andy$4aut$4http://id.loc.gov/vocabulary/relators/aut$0912702 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299525303321 996 $aS.M.A.R.T. Circle Projects$92520922 997 $aUNINA