The young boy is in the
preoperational stage. He cannot reason or think in a two way pattern. He cannot
recognize that no matter what he knows about feathers, there is a rule about
the glass breaking every time it is hit with a feather. He cannot think of the
rule and apply the rule to the things he knows about feathers. The older girl is probably in the concrete operational stage because she
is able to see the relationship between the two objects, she can move beyond what she knows about feathers and apply the rule to the situation. She has developed two way
thinking. To teach these students, you must consider their developmental
levels. The girl can reason and use two way thinking. She can be taught in a
inquiry based approach. You can help her to use reasoning and develop in more abstract ways. She should continue to apply her knowledge to new situations. The young boy should be taught in a more straightforward
way. The teacher can help the student by linking the content to prior knowledge. The teacher can use modeling and scaffolding to help the student achieve based on their
developmental level.
I like your descriptions in that you didn't say that you can 'help' or push students to learn two way thinking (Piaget would say this isn't possible). Your last two sentences seem to be true of any learning situation--did you mean these are specifically good for these students?
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