On Nov 2, 2012, at 5:55 PM, Louis Talman <firstname.lastname@example.org> wrote:
> I gave an excellent example you seem to have chosen to ignore.
I'm sorry, I guess you are talking of this ...
"And consider the popularity of puzzles like sudoku---which are based on very mathematical, but non-arithmetic, reasoning---in a nation that despises mathematics. Where do such phenomena fit in your "natural progression"?
I didn't give it enough thought and I will concede that sudoku is an excellent non-arithmetic mathematical reasoning example. And it is playable by young children (my son played it in first and second grade). I disagree somewhat with your notion of "popularity" because you really don't see sudoku being played that much (by adults even). That is probably just due to self selection. Are you aware of anyone trying to popularize it in elementary math curriculums? We used to have the magic squares (ok, so it has a little arithmetic) and the fifteen puzzle (no arithmetic). Then the standards came.