Description
This book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS’ REASONING AND LEARNING AND EDUCATION OF TEACHERS. In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike. Preface Section 1. Teaching probability Chapter 1. Reasoning with risk: teaching probability and risk as twin concepts Manfred Borovcnik and Ramesh Kapadia Chapter 2. Language and lexical ambiguity in the probability register Adam Molnar Chapter 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. Langrall Chapter 4. Challenges and opportunities in experimentation-based instruction in probability Per Nilsson, Andreas Eckert and Dave Pratt Chapter 5. Visualising conditional probabilities – three perspectives on unit squares and tree diagrams Katharina Bcherer-Linder, Andreas Eichler and Markus Vogel Chapter 6. Probability concepts needed for teaching a repeated sampling approach to inference Hollylynne S. Lee Chapter 7. Characterizing the probability problems proposed in university entrance tests in Andalucia Carmen Batanero, Maria del Mar Lpez-Martn, Pedro Arteaga and Mara M. Gea Chapter 8. Random walks in the didactics of probability: enactive metaphoric learning sprouts Jorge Soto, Daniela Daz-Rojas and Pamela Reyes-Santander Chapter 9. The role of statistics anxiety in learning probability Caterina Primi, Anna Donati and Francesca Chiesi Section 2. Students’ reasoning and learning Chapter 10. What 9- and 10-year old pupils already know and what they can learn about randomness Peter Bryant, Terezinha Nunes, Deborah Evans, Rossana Barros, Laura Gottardis and Emanouela Terlektsi Chapter 11. Understanding children’s meaning of randomness in relation to random generators. Haneet Gandhi Chapter 12. Reasoning in decision making under uncertainty and decisions of risi on a game of chance Ana Serrad Chapter 13. Determinism and empirical commitment in probabilistic reasoning of high school students Ernesto Sanchez, Jaime Garca and Miguel Mercado Chapter 14. Students’ reasoning on sample space and probabilities of compound events Pedro Landn and Jess Salinas Chapter 15. The six loses: risky decisions between probabilistic reasoning and gut feelings Joachim Engel and Arne Orthwein Section 3. Education of teachers Chapter 16. Comparing the relative probabilities of events Egan Chernoff, Ilona Vashchyshyn and Heidi Neufeld Chapter 17. Preparing teachers for teaching probability through problem solving Pedro M. Huerta Chapter 18. Exploring teachers’ attitudes towards probability and its teaching Assumpta Estrada, Carmen Batanero and Carmen Daz Chapter 19. Students’ reflections about a course for learning probability via simulations Susanne Podworny Chapter 20. Prospective teachers reasoning in the context of sampling Emilse Gmez-Torres, Carmen Daz, Jos Miguel Contreras and Juan J. Ortiz A commentary on teaching and learning stochastics: Advances in probability education research Egan J Chernoff and Carmen Batanero
