Discuss the following questions:

What are your beliefs about the “right” way to use time when you are teaching mathematics? In what ways does the video affirm and/or challenge your beliefs about time, teaching, learning, and mathematics?
What about partner work? What are your beliefs about how partner work should and shouldn’t be used to teach mathematics? How did the video affirm and/or challenge your beliefs about partner work in teaching and learning mathematics?

This video offers some specific ideas about “the nature of mathematical thinking” as well as ideas about the best ways to teach mathematics.

Take out the ladder of inference drawing

Discuss what is going on at each step of the ladder

First, what does the video present as data, what meaning does the video promote about the data, what conclusions does the video draw, what actions does it suggest?

Describe your reactions

What meaning do you assign to the data in the video, what conclusions do you draw, what actions do you recommend?

Your responses reflect your values, beliefs, attitudes and dispositions.

If we accept that the methods of math instruction that the video promotes are grounded in research, what, if anything, makes it hard for you to believe these methods are sound and logical?

think If you find it hard to accept these methods, you are not alone. We all have our belief systems, and these belief systems can make it hard for us to accept something that conflicts with them, even if it is based in fact.