On Feb 1, 2014, at 1:24 PM, Joe Niederberger <firstname.lastname@example.org> wrote:
> And why for heaven's sake, do *you* keep thinking I'm talking about making lesson plans for a 12 year old? That's your baggage that you are bringing to this discussion.
You?re right. I said that back with the glue and plugs because I felt that was the level of sophistication you were headed towards. I was not talking about your conversation with Neighbor, other than my remark about real numbers.
> That being said though, a 12 year can surely understand sets, subsets, unions, intersections, etc. Naive set theory.
Yes. I have no problem with introducing that kind of set theory, even well before 12. I recall my son having those lessons in 2nd grade, using Venn diagrams and sets of ?things?. Unfortunately, I think the curriculums then drop any mention of it till algebra. But modern curriculums are like that with everything. Vey little in the way of systematic and continuous development.