Lesson 16 Three dice

Lesson plan

Piagetian Level Learners Thinking and abstract of the activity
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'
2B*
Concrete
Generalisation
2B
Mature
concrete
Middle
concrete
Episode 1
What's the score in different size samples?
Episode 2
How do we explain the pattern of scores?

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