On Jan 31, 2014, at 3:41 PM, Joe Niederberger <email@example.com> wrote:
> You know I was creating a lesson plan here.
I kind of thought you were, but was hoping you weren?t. I guess I felt it would be better being wrong thinking you weren?t than being wrong thinking you were.
> Nevertheless, analogies are used all the time. They're very much involved in the processes of abstraction, and little games are probably good exercise for such facilities: this is like that is these ways, but not in these other ways?
The exercise is good, but the students have to have a bunch of familiarity with the behavior of these things (points etc) first. And maturity. It seems to me that you are talking about having a jam session with students already there. Personally, if I was so inclined to teach students about open and closed sets, I would start with the number line. A working model. Not an analogy. After some time, after using the term ?point? a hundred times, in context, and the students followed, then some refinement might be in order.