Most were close. One boy guessed 8, and when asked why, he responded,
"I visualized 4 wedges in half the clementine, and then figured that there would be 8 in the whole clementine." He then wondered how many wedges would be in half of this clementine, which was puzzling to him because it had an odd number of wedges.
We wondered whether all clementines had nine wedges, and agreed that this would be an interesting question to explore. Would bigger clementines have more wedges? This was another question that arose in the discussion.
The estimation180 activities have replaced our traditional "math message". This was a problem or a number of exercises written on the board, generally practicing a skill that was taught the previous day(s), that the students were expected to solve in their notebooks as a "do now" upon entering class. I have nothing to back this claim other than what my instincts and intuition tell me from anecdotal observations, but the opportunity cost has been worth it. The rich discussions and the building of number sense, the digging into measurement topics and strengthening of measurement referents, shores up an area of weakness. But the most important thing is: the kids love it. We are playing around with the idea of borrowing a set of ipads that the kindergarten teachers got with grant money last year and having the kids make their own "estimation 180" activities from what they see around the classroom and around the school.
Dear Mr Schwartz. I found these comments very enlightening, and enjoyed them very much. Keep working on the blog! I hope it is successful. Cheers- Mr Broklaw
ReplyDeleteBrilliant!
ReplyDeleteI wish I had thought of this challenge. I love your strategy to pause the video at some point and ask your students to reevaluate their answer. I use this technique a lot. It's funny how so many students (at first) are shocked they get to change their answer. Like they're getting away with something. It's a wonderful opportunity for them to learn the strategy of evaluation.
Even better, the questions that came out of this discussion are fantastic.
"We wondered whether all clementines had nine wedges, and agreed that this would be an interesting question to explore. Would bigger clementines have more wedges? This was another question that arose in the discussion." It's amazing when students come up with extensions on their own.
Keep it up!