On Jun 14, 2013, at 12:13 PM, Joe Niederberger <firstname.lastname@example.org> wrote:
> So, you thinking counting is not learned? Interesting.
Of course I think it is learned, but you said learned using their eyes. I have not seen any kid spontaneously learn to count, and I am talking about kids with eyes. You learn to count from another person that already knows how to count. And please, accept that just as you accept that the egg comes from the chicken which comes from the egg...
> > Nevertheless, vision is a great aid to learning math in general.
We have eyes and we are going to use them but that isn't the "sense of counting" even if it shares in the experience. Blind kids learn to count just as well.
My argument is that the notion that some people think mathematics visually is false or at least misdiagnosed. I use the best visualization software available and I have studied hundreds of people using it. A fringe benefit of my profession. The verdict is that no matter the presentation involved, the underlying theme is always quantitive analysis and without the ability to sense quantitive relationships you cannot analyze, visually or otherwise.
My final thoughts on this is that visualizations are an exciting part of the product, but they are not part of the ingredients.