Review the list of questions that teachers can use to promote mathematical sense-making on pages 224-226. Which few resonate with you?  Try using them in your teaching and tell us how it goes

Reflect on the opening pages of the chapter discussing intuition (pages 209-211). What caught your attention? Any surprises?

Connecting math to other math ideas (via multiple representations, relationships, and models) is an extremely fruitful area to promote conceptual understanding with our students. Choose a problem or set of problems that you have taught or plan to teach, and analyze the multiple representations or models used by you and the students in the lesson.  What did your students learn? What did you learn?

This year has been filled with news and events that could be discussed in math class (coronavirus pandemic, US elections, heightened awareness of climate change and systemic racism in policing and other institutions, etc.). Have you discussed any of these topics with your students? Tell us why you decided to do or not do this, and if you did, how it went.

Comment on something from this chapter that you found thought-provoking.

If you need more specific direction, then please reflect on the questions on page 207. Are you comfortable asking them in your teaching context?

Try one of these strategies in your classroom and tell us how it went. (Of course, try it yourself first to anticipate student responses and questions they might generate.) Please specify if you are teaching face-to-face, online, or other hybrid scenario.

            A. 101 Questions https://www.101qs.com/

            B. Notice and Wonder https://www.nctm.org/mathforum/

            C. Problem posing with data (like the fish scenario on pages 145-147)
[Additional info/links at http://tjzager.com/book/chapter-7-mathematicians-ask-questions/]

Comment on one of the instructional strategies from the chapter OR a detail from the classroom vignette that you find thought-provoking.

On pages 131-133, Tracy discusses her use of margin symbols for students to communicate their progress in problem solving. What approaches have you used to get feedback from your students about their level of understanding (either in F2F or online teaching)? 

Choose something from this chapter’s reading that resonated with you and share your thoughts.

We will re-start our discussion at the end of October with Chapter 6. In the meantime, WELCOME!

Please respond to this prompt with your name, city, & grade level or position. Also tell us:

--1 thing you are finding challenging these days
--1 good thing you are feeling grateful for these days