The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.
As one of the people with said freakish knack, I’m not sure how intelligently I can comment on his approach. I certainly do see his actual examples as a good illustration of how computers and simulation can serve an educational purpose, but I’m not exactly sure what he’s really proposing along these lines. I mean, presumably to produce simulations like that requires the dreaded manipulation of abstract symbols, and I’m assuming he’s not proposing a mathematics curriculum which consists of “Hey, play with this cool iPad ap.”
Which is not to suggest that he needs to have a fully realized curriculum; the video above is pretty cool, and will hopefully encourage some fruitful thinking on somebody’s part.