LEADER 04032nam 2200709 a 450 001 9910813666903321 005 20200520144314.0 010 $a0-88385-961-0 035 $a(CKB)2670000000273529 035 $a(EBL)3330346 035 $a(SSID)ssj0001101029 035 $a(PQKBManifestationID)11628160 035 $a(PQKBTitleCode)TC0001101029 035 $a(PQKBWorkID)11064308 035 $a(PQKB)10846245 035 $a(Au-PeEL)EBL3330346 035 $a(CaPaEBR)ebr10722457 035 $a(OCoLC)939263604 035 $a(RPAM)ccn00930305 035 $a(MiAaPQ)EBC3330346 035 $a(EXLCZ)992670000000273529 100 $a20110126d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aKeeping it R.E.A.L$b[electronic resource] $eresearch experiences for all learners /$fCarla D. Martin, Anthony Tongen 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 $a0-88385-774-X 320 $aIncludes bibliographical references and index. 327 $acover ; copyright page ; Untitled; Acknowledgments; Contents; Introduction and Motivation; Introduction; Motivation; Implementation; Grading; Organization; Computer Exploration of Mathematical Concepts; A Prime Project; A Golden Prime Project; A Rather Normal Project; Collatz Collapse; Fractions of Fractions; Diffusion by Chance; Random Investing; Infinite Digits with Finite Storage; Follow the Rules!; Chaotic Rabbits; Smoothing Out Tangles; Shortening Voices Everywhere; Student Poster Example; Numerical Algorithms; Bit by Bit; Getting to the Root of the Problem; Things that Periodically Fit 327 $aGoing with the FlowSupercaliFRACTAListic!; Chain Reactions; The World's Largest Linear Algebra Problem; Shifting the Way We Think About Linear Algebra; Facing Reality with Eigenfaces; Matrix Surgery: Operating on Matrices; Student Poster Example; Advanced Numerical Analysis; Matrices of Matrices; Wrapping Around Matrices; Getting Smaller; Improved Hearing; You Match I Match; Seeing More Clearly; Eigenvalue Computing Side-by-Side; Delayed Understanding; Student Poster Example; Bibliography; Index; About the Authors 330 $aA collection of computational classroom projects carefully designed to inspire critical thinking and mathematical inquiry. This book also contains background subject information for each project, grading rubrics, and directions for further research. Instructors can use these materials inside or outside the classroom to inspire creativity and encourage undergraduate research. R.E.A.L. projects are suitable for a wide-range of college students, from those with minimal computational exposure and precalculus background to upper-level students in a numerical analysis course. Each project is class tested, and most were presented as posters at regional conferences.--Page [4] of cover. 410 0$aClassroom resource materials (Unnumbered) 517 3 $aKeeping it REAL 517 3 $aResearch experiences for all learners 606 $aCritical thinking$vProblems, exercises, etc 606 $aMathematics$xResearch 606 $aMathematics$vProblems, exercises, etc 606 $aMathematics$xStudy and teaching (Higher) 606 $aComputation laboratories 606 $aProject method in teaching 615 0$aCritical thinking 615 0$aMathematics$xResearch. 615 0$aMathematics 615 0$aMathematics$xStudy and teaching (Higher) 615 0$aComputation laboratories. 615 0$aProject method in teaching. 676 $a510.71 700 $aMartin$b Carla D$01606833 701 $aTongen$b Anthony$01606834 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910813666903321 996 $aKeeping it R.E.A.L$93932800 997 $aUNINA