+

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?

Evaluative Interpretive

+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

Student

What does the network of conversation look like?

+Student to student questioning

Teacher

Student

Student

Student

Student

STudent

What does the network of conversation look like?

Math talk learning community

+Providing question stems to students

[list of stems]