+ Questioning, listening and responding to promote students’ mathematical thinking

+ Types of listening Listening to see if they have it right So, 2x plus 3 x is what? And, what do we have to do next? Listening to understand their thinking How do you know it’s linear? Why do you think the answer is ½? EvaluativeInterpretive

+ Designing good questions Tell me how know. How does this connect to what we did yesterday?

+ What question do I ask next? This is not so easy as it depends on how the student(s) has just responded Depends on how well you (the teacher) listens Cannot be easily prescribed

+ Students’ responses Provide insight into their thinking Illuminate ways that students understand concepts (different understandings and different conceptions) Provide examples of ways of thinking to other students

+ Descriptive feedback [discuss features of descriptive feedback] [discuss descriptive feedback in terms of written work as well as conferencing, etc. )

+ Student to student questioning Teacher Student What does the network of conversation look like?

+ Student to student questioning Teacher Student STudent What does the network of conversation look like? Math talk learning community

+ Providing question stems to students [list of stems]