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Garrett's teacher asked his class to write down every response they could think of to the question, "what would you do if you could be invisible for a day?" this kind of exercise fosters _____ thinking.

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Greenleafable
The correct answer is divergent.
There are two types of thinking - convergent and divergent. Convergent thinking is more logical - we come up with various solutions to the problem, but usually only one of them is correct. On the other hand, divergent thinking is more creative - it usually involves many solutions to the problem, and it is a spontaneous, brainstorming type of thinking. This is often used when writing, whereas convergent thinking is used in math and logic.
Phenomenology

Garrett's teacher asked his class to write down every response they could think of to the question, "What would you do if you could be invisible for a day?" This kind of exercise fosters divergent thinking.