1. When should I answer a question and when should I reflect it back to the asker?
2. What are we constructing in class? Knowledge, ability, skills, strategies, points of view?
3. How do I get students to do the construction?
4. Is construction different from comprehension? If so, how?
5. What's the best way to teach students facts?
6. How do I assess what students construct?
7. How do I balance the interests of the individual student against the structure of a particular discipline?
8. What are the social or moral issues inherent in what I do?
Comments
I find it myself with my teaching, and responding to your other post as well - I'm sure I'm better versed in all the new ideas around than any of the other lecturers here, but I still haven't got a clue how to apply them to my own teaching of mathematics to engineers. Also, I'm willing to take small risks with my teaching but not massive risks. I haven't got lots of time to put in upfront in preparation. I feel that what we need is a concrete list of things you could do if you're actually teaching a class.