Written by leading subject specialists, Teaching Probability is designed to support teaching concepts in probability by providing a new approach to this difficult subject from a perspective not limited by a syllabus, giving teachers both theoretical and practical knowledge of an innovative way of teaching probability. This alternative approach to teaching probability focuses on the methods that teachers can apply to help their students engage with the topic using experiments and mathematical models to solve problems, considering how to overcome common misconceptions and the way in which probability can be communicated.
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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.
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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