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Teaching Probability


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Table of Contents

Foreword; Introduction; Aims and purpose of the book; Part I. A New Approach to Teaching Probability: 1. Introduction; 2. Probability in the classroom; 3. The probability curriculum; Part II. Classroom Activities: 4. Fair game; 5. Which team will win?; 6. The dog ate my homework!; 7. Choosing representatives; Part III. Assessment and Sample Examination Questions: 8. The Probability scale; 9. Event as 'favourable outcome' within an 'equally likely' sample space; 10. Understanding fixed probability; 11. Complement; 12. Mutually exclusive events adding to 1 (more than two categories); 13. Multiple attributes - union and intersection; 14. Expectation; 15. Estimating probabilities from experiments; 16. Identical independent events; 17. Two non-identical independent events; 18. Two dependent events (without replacement) - conditional probability; 19. Conditional probability - inverse (Bayes' theorem); Part IV. Risk and Uncertainty in the Real World: 20. What's the best strategy; 21. What does 'random' look like?; 22. How should we change our beliefs?; 23. How probable is probable?; 24. Misconceptions; 25. Heads or tails, boy or girl?; 26. Your risk is increased!; 27. It's a lottery; 28. Switch or stick?; 29. It's not fair!; 30. Take a risk?; 31. Happy birthday to you, and you, and...; 32. How long do I have to wait?; 33. Do you know what you don't know?; Index.

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These titles focus on the approaches that can be taken in the classroom to develop skills and a conceptual understanding of specific mathematical concepts.

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