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Table of Contents
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. .
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. .