Lesson 17 Sets and subsets
Lesson plan
| Piagetian Level | Learners Thinking and abstract of the activity | ||
|---|---|---|---|
| 3 B Mature Formal |
Representation in terms of Boolean algebra | Representation of solution in terms of Boolean algebra | |
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| 3A Early Formal |
Realising why the sum of the separate sets is greater than the number of the total set |
Understanding and applying concept of included set as applied to multiples |
Subtracts the three binary intersections from the sum of A, B, C, to give the total set, then sees something needs to be done about the ternary intersection |
| By placing the square 6 in the ternary intersection, finds criteria that place members in every domain of the diagram | |||
| 2B* Concrete Generalisation |
Naming in words the subsets, complements |
By abstraction finds criteria which would fill all binary intersections. Constructing empirically the inter-related sets of multiples of 2, 3 and 5. |
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| 2B Mature concrete |
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| Middle concrete |
Episode 1 Two overlapping sets |
Episode 2 Included and excluded sets |
Episode 3 Three sets |