Sudoku is a good example, but not the one you're still ignoring.
A. Of course "you really don't see sudoku being played that much (by adults even)." Solving puzzles requires concentration and is a poor public activity. You don't really don't see a lot of people working crosswords, either. And yet both appear in almost every newspaper you pick up. Do you really think that newspapers---which are undergoing a fairly substantial economic crunch---would waste the space on something that isn't popular? (And consider what that means for astrology...)
B. The invention of modern mathematics by the ancient Greeks---who were almost completely innumerate by today's standards---renders your "natural progression" untenable. And I'm not the least surprised that you chose to ignore it.
On Fri, Nov 2, 2012 at 5:27 PM, Robert Hansen <firstname.lastname@example.org> wrote:
> > On Nov 2, 2012, at 5:55 PM, Louis Talman <email@example.com> 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. > > Bob Hansen >
-- --Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State College of Denver