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Cambridge Mathematics Teaching Series

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ISBN:9781316605899
Format:Paperback
Subject(s):Mathematics
Author(s):Jenny Gage, David Spiegelhalter
Available from: October 2016

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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Description

DESCRIPTION

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.
Contents
FEATURES
- Broken into four parts that identify the approach, activities, assessment questions and extension projects as part of teaching probability.
- More experimental approach to teaching.
- Provides lesson materials that can be used/adapted, according to the ability/age or needs of the pupils.
- Clearly written throughout to give teachers confidence in teaching this complex concept.
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.