Consider the math mistakes below. Not real samples of student work (for that, go here), but real mistakes. I’ve seen each one. I think you’ll recognize them.
Answer questions 1 and 2.
1. What math mistake did each student make?
2. What are some implications for our work?
Good. Now answer questions 3 and 4.
3. What role did memorization of the times table play?
4. What are some implications for the conversations we could be having?