1. This question directly connects to learning in the classroom. Up until now, the graphing questions of the day have been pretty normal ("What's your favorite color? What's your favorite subject? What's your favorite animal?") and haven't really reflected anything we've learned about in class. We've been learning about different ways to add and subtract 2-digit numbers and practicing the various strategies every day in class.
2. My student came up with this graphing question on his own, which means he's internalized the vocabulary, math concept, and strategy enough to discuss it independently, without me having to prompt him.
3. My students are capable of some simple self-assessment. They didn't all choose the same strategy as their favorite, although "stacking" is the obvious front-runner. ("Stacking" is the traditional way most of us learned to add and subtract.)
I tell ya, it's moments like these that affirm my teaching practices...it's like a little voice saying, "Yes, what you're doing is important, it is working, and they are learning."
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