I imagine this is pretty high on whatever hierarchy of question you ascribe to, but it’s one that sure speaks to me. Malcolm Swan references Creating Problems (p.28) as a way of students demonstrating mastery. I’ve had mixed result with having students do just that.
Below is an attempt at streamlining the process, using a sort of “walkthrough” template. It begins by asking the students to describe the math we’ve been doing recently, followed by copying a recent prompt. Along the way are some (hopefully) helpful hints and key words that may be useful.
Feel free to use & modify as you see fit. Better yet, tell me how it goes.
Note: scribd doesn’t play well with some formatting, so here’s the original doc and PDF.
emergent math 