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This idea has been percolating for a while, ever since reading Sophie’s post back in September. There was some time pressure to get work on the board, but it was a good pressure that was absent of any kind of anxiety.
When we came back from Christmas Vacation and needed to start flexing all of those now-unpracticed skills that we gained in the fall, the time seemed right to try out this crazy new idea. The time limit was just about how long you had with that particular board, and when time was up, you were on to the same challenge, just remixed.
Since the ideas about approaches were rotating about the room, the boards looked similar, but not identical.
They sometimes had to try to explain something that they wouldn’t have chosen to do themselves.
So, let’s spend 5 minutes now working on problem 9. We’ll have time at the end for you to copy down anything you want to have in your packet. It was a more interesting meeting than usual since everyone was holding work that wasn’t entirely their own.
In the other class, most students had not done anything on the problem yet. At the end of the 5 minutes, we decided we were finished with the problem and had a board meeting (we all sit on the tables and hold the boards in front of us (but not in front of our faces) so that we can see everyone’s work and look for places we agree/disagree).
I tried this first in my regular classes, and we worked on this problem: In one of the classes, most students had done a lot on the problem already. Most boards are close to being finished and so some puzzling starts to happen. ” Some had written mostly answers absent of work, and two generations of physics students down the line now had to figure out not only whether the answers were correct, but also how they had even gotten there.
One group wasn’t making much progress until someone from the next table noticed them and said, “Hey, I’m going there next! ” When the 5 minutes were up, I looked around and saw that we probably had about 5 more minutes worth of work to do in order to get the boards to a mostly-finished state. Now, again, a different pairing and completely different work.