Lesson 16 Three dice
Lesson plan
Piagetian Level | Learners Thinking and abstract of the activity | |
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3 B Mature Formal |
Interpretation of the variation of results in terms of sampling variation diminishing as sample sumner increases | |
Interpretation of the results in terms of the ratios of probabilities | ||
3A Early Formal |
‘the scores aren't equally probable; there must be some mathematical reason for this’ | ![]() |
‘as the sample gets bigger the pattern of scores gets clearer’ ‘there are more scores in the middle of the table than at the top or the bottom’ |
‘there is a pattern in the data if you calculate the percentages' 'there is a large peak with the middle scores’ ‘there is only one way you can get a score of 3, but three ways you can get a score of 4' |
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2B* Concrete Generalisation |
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2B Mature concrete |
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Middle concrete |
Episode 1 What's the score in different size samples? |
Episode 2 How do we explain the pattern of scores? |