On Jan 31, 2014, at 12:19 PM, Joe Niederberger <email@example.com> wrote:
> Actually, I think we can improve on this a bit. Rather than thinking of "glue", think of open ends and closed ends line segments as being like plugs: closed (male) to open (female). To plug them together you need to mate male to female or vice versa. And for these purposes a single point will also act like a two-sided male plug adapter.
You probably intended this as a game of analogies between two adults already blessed with a sophisticated understanding of points, lines and infinity. The following is directed at using such accidental analogies in teaching?
How does this help a student? I can?t see how this in any way leads to any understanding, sophisticated or not, of points, lines and infinity. When I reach such silliness in my own pedagogy I STOP. You are beyond the student?s thinking. Just stick with the mechanical definitions of open and closed segments of real numbers. They will get the sophistication in time, and with use.
Also, would a young student even understand the meaning or the source of the meaning for male and female plugs?:)