Teaching and Learning Stochastics

Preface.- Section 1. Teaching probability.- Chapter 1. Reasoning with risk: teaching probability and risk as twin concepts.- Chapter 2. Language and lexical ambiguity in the probability register.- 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.- Chapter 4. Challenges and opportunities in experimentation-based instruction in probability.- Chapter 5. Visualising conditional probabilities - three perspectives on unit squares and tree diagrams.- Chapter 6. Probability concepts needed for teaching a repeated sampling approach to inference.- Chapter 7. Characterizing the probability problems proposed in university entrance tests in Andalucia.- Chapter 8. Random walks in the didactics of probability: enactive metaphoric learning sprouts .- Chapter 9. The role of statistics anxiety in learning probability.- Section 2. Students' reasoning and learning.- Chapter 10. What 9- and 10-year old pupils already know and what they can learn about randomness.- Chapter 11. Understanding children's meaning of randomness in relation to random generators. .- Chapter 12. Reasoning in decision making under uncertainty and decisions of risi on a game of chance.- Chapter 13. Determinism and empirical commitment in probabilistic reasoning of high school students.- Chapter 14. Students' reasoning on sample space and probabilities of compound events .- Chapter 15. The six loses: risky decisions between probabilistic reasoning and gut feelings.- Section 3. Education of teachers.- Chapter 16. Comparing the relative probabilities of events.- Chapter 17. Preparing teachers for teaching probability through problem solving.- Chapter 18. Exploring teachers' attitudes towards probability and its teaching.- Chapter 19. Students' reflections about a course for learning probability via simulations.- Chapter 20. Prospective teachers reasoning in the context of sampling.- A commentary on teaching and learning stochastics: Advances in probability education research.