Teaching and Learning Stochastics (eBook)

Preface Section 1. Teaching probabilityChapter 1.  Reasoning with risk: teaching probability and risk as twin conceptsManfred Borovcnik and Ramesh KapadiaChapter 2.  Language and lexical ambiguity in the probability registerAdam MolnarChapter 3.  The status of probability in the elementary and lower secondary school mathematics curriculum: the rise and fall of probability in school mathematics in the United States          Cynthia W. LangrallChapter 4.   Challenges and opportunities in experimentation-based instruction in probability    Per Nilsson, Andreas Eckert and Dave PrattChapter 5.   Visualising conditional probabilities – three perspectives on unit squares and tree diagrams           Katharina Böcherer-Linder, Andreas Eichler and Markus VogelChapter 6.   Probability concepts needed for teaching a repeated sampling approach to inference         Hollylynne S. LeeChapter 7.   Characterizing the probability problems proposed in university entrance tests in AndaluciaCarmen Batanero, Maria del Mar López-Martín, Pedro Arteaga and María M. GeaChapter 8.   Random walks in the didactics of probability: enactive metaphoric learning sprouts            Jorge Soto, Daniela Díaz-Rojas and Pamela Reyes-SantanderChapter 9.     The role of statistics anxiety in learning probabilityCaterina Primi, Anna Donati and Francesca Chiesi  Section 2. Students’ reasoning and learningChapter 10.   What 9- and 10-year old pupils already know and what they can learn about randomnessPeter Bryant, Terezinha Nunes, Deborah Evans, Rossana Barros, Laura Gottardis and Emanouela TerlektsiChapter 11.   Understanding children’s meaning of randomness in relation to random generators.       Haneet GandhiChapter 12.   Reasoning in decision making under uncertainty and decisions of risi on a game of chanceAna SerradóChapter 13.   Determinism and empirical commitment in probabilistic reasoning of high school studentsErnesto Sanchez, Jaime García and Miguel MercadoChapter 14.   Students’ reasoning on sample space and probabilities of compound events           Pedro Landín and Jesús SalinasChapter 15.   The six loses: risky decisions between probabilistic reasoning and gut feelingsJoachim Engel and Arne Orthwein Section 3. Education of teachersChapter 16.   Comparing the relative probabilities of events           Egan Chernoff, Ilona Vashchyshyn and Heidi NeufeldChapter 17.   Preparing teachers for teaching probability through problem solvingPedro M. HuertaChapter 18.   Exploring teachers’ attitudes towards probability and its teaching Assumpta Estrada, Carmen Batanero and Carmen DíazChapter 19.   Students’ reflections about a course for learning probability via simulationsSusanne PodwornyChapter 20.   Prospective teachers reasoning in the context of samplingEmilse Gómez-Torres, Carmen Díaz, José Miguel Contreras and Juan J. Ortiz A commentary on teaching and learning stochastics: Advances in probability education researchEgan J Chernoff and Carmen Batanero