Was able to do small groups with proofs today. I let them self-select into my facilitated group while the rest of the class tried on their own and checked against answer key posted online.
Identified where individual students had trouble
Automatic buy-in because of the self-select
Students who were working independently were excited to try the proofs on their own
Let students get to really talk about ideas- especially one student who hardly participates suddenly jumping in all the time
I know there are some students who should have been in my group who weren’t. This is totally on me because I should have snagged them anyways, but just didn’t have the energy to fight that battle today.
Only got through 1 proof
Still have a nagging feeling I was doing too much talking. Maybe they weren’t quite ready? Fine line where productive struggle separates “blindly following teacher’s method” and “floundering in the dark”
On a related, but separate note, I just came across this article/research paper by Jo Boaler regarding her research on math education. This is a must read!! http://nrich.maths.org/content/id/7011/nrich%20paper.pdf