TMC 2018 - We Have So Many Questions!

Last week I had the privilege of being at TMC18 in Cleveland and was honoured to present a morning session entitled "We Have So Many Questions!" with Sheri Walker. Sheri and I work in the same city, but not at the same school, so we collaborate over email and occasional meetings at PD days or over coffee. We both like to create rich questions that promote deeper thinking in our students and help them make connections. These types of questions were the focus of our morning session (6 hours over 3 days). We had our participants work in random groups of three on whiteboards (#VNPS) on interesting questions (we did lots of math - yay!) before creating some of their own. We were so fortunate to have the most amazing group of educators who were all willing to jump in and try new things. They were a joy to work alongside - helping each other, pushing each other's thinking and ours, too.

Morning Session 2018 (+ Graham & Jon)

The link to the slides is included below so you can get a sense of the kinds of questions we shared, but I thought I would give those of you who were not part of our session a taste of what we did on days 2 and 3. So get out a pencil, pen or marker and do this question. 

(Don't worry - I'll wait and post some pictures for the interlude.)

Graham attending to precision

Danielle was super proud of this one!

Not that interesting, right? It looked interesting and different when I saw it here, but it turned out to be super easy if you know that the diagonals of a square are perpendicular. But I still thought it had potential. Potential to be turned into a good question so Sheri and I worked on doing that. We would each try our own thing then ask questions then try some more, look at each other's work, get new inspiration and keep going. This is how we collaborate. Before I share what we came up with, I would like you to see what you can do to make this question better. I'll wait.

(A few more pictures...)

Amy & Brad deep in thought

Pam with all her group's WODB reasons

Amy, Mary & Danielle doing a little WODB

Danielle, Sara, Mary, Pam, Mark & Brad working on Algebra 2 questions

I would love to see what question(s) you created - post them in the comments or drop me a line.

Here is what I ended up with. Assuming the same diagram and that segment AB is horizontal, make the coordinates of A(a,11)...

Q: Find all possible values of a.
or
Q: What value of a will give ABCD the greatest area?
or
Q: Determine the equation of AC [if D must have integer coordinates].

Interestingly enough, each group in our session went down a different path with this prompt. 

Sheri working with Mary & Amy; Angie & Brianna creating a cool WODB in the background

This set the stage for day 3 which was all about creating your own questions. I hope that we will all continue to share what we create over the upcoming school year and inspire each other to get the best out of our students.

Click here to see our slides.