LEADER 04358nam 22006015 450 001 9910746956203321 005 20251008140526.0 010 $a9783031406393 010 $a3031406397 024 7 $a10.1007/978-3-031-40639-3 035 $a(MiAaPQ)EBC30769589 035 $a(Au-PeEL)EBL30769589 035 $a(CKB)28449043000041 035 $a(DE-He213)978-3-031-40639-3 035 $a(EXLCZ)9928449043000041 100 $a20231003d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFostering Collateral Creativity in School Mathematics $ePaying Attention to Students? Emerging Ideas in the Age of Technology /$fby Sergei Abramovich, Viktor Freiman 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (141 pages) 225 1 $aMathematics Education in the Digital Era,$x2211-8144 ;$v23 311 08$aPrint version: Abramovich, Sergei Fostering Collateral Creativity in School Mathematics Cham : Springer International Publishing AG,c2023 9783031406386 320 $aIncludes bibliographical references. 327 $aChapter 1: Theoretical foundation of collateral creativity -- Chapter 2: From additive decompositions of integers to probability experiments -- Chapter 3: From number sieves to difference equations -- Chapter 4: Prime numbers -- Chapter 5: From dividing shapes in equal parts to the Four-color theorem -- Chapter 6: From purchasing flowers to minimax mathematics -- Chapter 7: From comparing chances to algebraic inequalities -- Chapter 8: Recreational mathematics (8-Queens, Tower of Hanoi) -- Chapter 9: Exploring unsolved problems (e.g., 4, 2, 1, sequence) -- Chapter 10: The Golden Ratio -- Chapter 11: Monty Hall Dilemma -- Chapter 12: Playing with calendar -- Chapter 13: Egyptian fractions. Appendix. Bibliography. Index. 330 $aThis book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered ?mathematically advanced.? The book reflects the authors? experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments. Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called ?collateral creativity,? a notion similar to Dewey?s notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcomeof thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one?s learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher?s questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms. 410 0$aMathematics Education in the Digital Era,$x2211-8144 ;$v23 606 $aMathematics$xStudy and teaching 606 $aArt$xStudy and teaching 606 $aEducational technology 606 $aMathematics Education 606 $aCreativity and Arts Education 606 $aDigital Education and Educational Technology 615 0$aMathematics$xStudy and teaching. 615 0$aArt$xStudy and teaching. 615 0$aEducational technology. 615 14$aMathematics Education. 615 24$aCreativity and Arts Education. 615 24$aDigital Education and Educational Technology. 676 $a510.71071 700 $aAbramovich$b Sergei$0721174 702 $aFreiman$b Viktor 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910746956203321 996 $aFostering Collateral Creativity in School Mathematics$93573786 997 $aUNINA