LEADER 04418nam 22007695 450 001 9910156519903321 005 20250628110056.0 010 $a9783319316253 010 $a3319316257 024 7 $a10.1007/978-3-319-31625-3 035 $a(CKB)3710000000765713 035 $a(DE-He213)978-3-319-31625-3 035 $a(MiAaPQ)EBC5595076 035 $a(Au-PeEL)EBL5595076 035 $a(OCoLC)1076252728 035 $a(MiAaPQ)EBC6422834 035 $a(Au-PeEL)EBL6422834 035 $a(OCoLC)1229828895 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/33609 035 $a(ScCtBLL)cbaca3b9-0eb3-4214-9314-1fb2ab341c08 035 $a(OCoLC)1163845994 035 $a(ODN)ODN0010073113 035 $a(oapen)doab33609 035 $a(EXLCZ)993710000000765713 100 $a20160712d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aResearch on Teaching and Learning Probability /$fby Carmen Batanero, Egan J. Chernoff, Joachim Engel, Hollylynne S. Lee, Ernesto Sánchez 205 $a1st ed. 2016. 210 $d2016 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (VII, 33 p. 1 illus.) 225 1 $aICME-13 Topical Surveys,$x2366-5955 311 08$a9783319316246 311 08$a3319316249 327 $aMain Topics You Can Find in this ?ICME-13 Topical Survey? -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead. 330 $aThis book summarizes the vast amount of research related to teaching and learning probability that has been conducted for more than 50 years in a variety of disciplines. It begins with a synthesis of the most important probability interpretations throughout history: intuitive, classical, frequentist, subjective, logical propensity and axiomatic views. It discusses their possible applications, philosophical problems, as well as their potential and the level of interest they enjoy at different educational levels. Next, the book describes the main features of probabilistic thinking and reasoning, including the contrast to classical logic, probability language features, the role of intuitions, as well as paradoxes and the relevance of modeling. It presents an analysis of the differences between conditioning and causation, the variability expression in data as a sum of random and causal variations, as well as those of probabilistic versus statistical thinking. This is followed by an analysis of probability?s role and main presence in school curricula and an outline of the central expectations in recent curricular guidelines at the primary, secondary and high school level in several countries. This book classifies and discusses in detail the three different research periods on students? and people?s intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks. 410 0$aICME-13 Topical Surveys,$x2366-5955 606 $aMathematics$xStudy and teaching 606 $aTeachers$xTraining of 606 $aLearning, Psychology of 606 $aMathematics Education 606 $aTeaching and Teacher Education 606 $aInstructional Psychology 615 0$aMathematics$xStudy and teaching. 615 0$aTeachers$xTraining of. 615 0$aLearning, Psychology of. 615 14$aMathematics Education. 615 24$aTeaching and Teacher Education. 615 24$aInstructional Psychology. 676 $a370 686 $aEDU009000$aEDU029010$aEDU046000$2bisacsh 700 $aBatanero$b C$g(Carmen)$4aut$4http://id.loc.gov/vocabulary/relators/aut$0960005 702 $aChernoff$b Egan J$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aEngel$b Joachim$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLee$b Hollylynne$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSánchez$b Ernesto$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910156519903321 996 $aResearch on Teaching and Learning Probability$92175836 997 $aUNINA