I was lying in bed not sleeping at 2AM or so (as one does), and had one of those ideas that I just had to use in class today (again, as one does: why is this getting more and more normal for me?). It worked so well I had to blog about it.
When I introduced the 0-4 "Levels of Understanding" to my students, some of them asked me to show some examples of the difference between the levels, and of course I didn't have any handy. I told the students we'd come up with them as we went along, and tried to forget about it. That obviously didn't work...
So this morning I threw together my best stab at an example of 1-4 for a Geometry construction by working one out in four different ways. Take a look and see what you think.
I put 'em up on 4 walls, and had the kids circulate and "grade" each. I didn't tell them that there was one of each score, and I didn't give them any more pointers than to use the posters in the room (4 claims and levels of understanding).
-kids were referring to the posters, going up and reading more closely; signs they were thinking about it
-kids were discussing what proficient meant
-I think we started to get to the difference between a drawing and a construction.
-Could've done electronically, but it was worth 4 sheets of paper to see the kids moving around the room, discussing, walking up to check the posters.
What the numbers say:
I collected their post-it votes and (why the hell not?) recorded their responses and made a chart.
I didn't have time to prepare something like this for my two sections of precal later in the day, but we got a little discussion in, and I had them start to try to formulate 1-4 responses for a question. Definitely doing this next week with them.
Man, this feels good. I had the energy today that comes with going into a 5 day weekend, and I got to translate that into something that felt really productive. The students' notions of what a math class is and how it is supposed to work are being challenged, and they are challenging me about how I assess, and ultimately grade. Conversation started! Let's keep it going.