Oh okay, THIS is what we're supposed to be doing during math conversations! I wish this had been part of my initial CGI training. There are six discussion structures in the book, but I frankly didn't understand one of them so I think it's maybe because it doesn't apply to the youngest kids. (It was the only chapter without a K/1/2 example.)
1) Open Strategy Share is the one that I was already doing. Present a problem, have kids solve it, and then share and discuss the different ways they arrived at a solution.
2) Compare and Connect can naturally follow and Open Strategy Share. Take 2 different approaches and have kids think through how they are similar and different, why they both work, and possibly if one is preferred in a particular situation.
3) What's Best and Why? links easily to Compare and Connect as students look at 2-3 strategies for problem solving and discuss which is most efficient and why.
4) Define and Clarify will be SO HELPFUL in my TK class as I prompt kids to think about how to record their counting collections, introduce tools like a number line or hundred chart, and notation for equations.
5) Troubleshoot and Revise - YES. The throughline of the book is setting and living norms in the classroom that make risk-taking and mistakes okay, as well as talking openly about them. Troubleshoot and Revise is a discussion strategy to make that work visible and explicit as students discuss something confusing or when a strategy doesn't work when they think it should.
6) Why? Let's Justify is the discussion structure that confused me. It seems to be an elementary-friendly way of having students develop proofs for strategies or rules. I found even the example vignettes hard to follow and am not sure it applies in a TK classroom. Will have to do more research on this one.
Overall, I liked this book because it gave me a clear way to structure my math conversations and a path to getting better at supporting students in thinking deeply about math. There are lots of sentence starters I can use as a teacher and the planning guides in the appendix will certainly be helpful. The text leaned a little too heavily on classroom vignettes and I wish there had been more examples by grade level of strategies that would be useful to discuss with each structure.
Definitely recommended as a foundational text for CGI math instruction!