Making it more about the questions than the answers

This year, I want to make my teaching more about questions than answers. Of course I want students to learn how to find answers independently, but I would also like them to find questions independently. In the spirit of being less helpful, I want to get my students extending problems, generating questions and learning to see math everywhere.

For example, what questions might this picture inspire?

What questions come to mind when you see this?

From: https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRIJ-cXv5xTZlbTqIVB2KzcfKaAOuHsQqpw7RZgRQLLU4dJV0Ao

Given these starting points, what different directions could students take? Post your ideas here…

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