Model the Learning

Last week, I was fortunate enough to attend three days of workshops with Cathy Fosnot ( @ctfosnot ) in North Bay. This was a great opportunity to see so many constructs in person that I had previously only learned about through her books, or the podcasts with #notabookstudy and #themathpod. It was amazing to see "math congress," "mini-lessons," and "gallery walks" come to life! Also last week, I wrote about how math teachers can change how they ask questions in order to probe for concept development, rather than probing for just the answer. Inspired by what I had seen in North Bay, I wanted to try out this different style of questioning first hand. While working with different learners this week, I tried going past just getting the answer, and encouraged them to show me how they got their answer, or to draw a picture, or to explain their thinking in words, or tell me how they know their answer could be right. The results were disastrous. Learners be...

Our final question in The Math Pod (#themathpod) twitter chat this past week ( see the archive here ), was built on Cathy Fosnot's challenge for us in the first podcast: What is the difference between questions meant to guide students to a specific answer vs. questioning to support development as a mathematician? So in the chat we asked: What kind of questions can we ask to support development as a mathematician? What would you actually say to your students? Here are some of the answers from the participants in the chat: What kind of questions can we ask to support development as a mathematician? What would you say to your students? Tell me about what you're doing. What do you wonder? Tell me more? How did you know that? What if i change this? Really??? (especially when they're right!) Can you explain what she just said? What made you think of that? How did you figure that out? What does this remind you of? Have you seen what (anoth...