My mom taught me math on an abacus, if I ever decide to have kids it's how they'll be learning as well. It's just a really good way to physically present math alternative to a purely mental construct. I honestly think schools should only allow an abacus or a slide rule until you hit college.
I honestly don't really know how people with purely western educations visualize math in their heads? It does kinda give you a bad habit of flicking imagery beads when you're doing mental equations, though that kid is especially spazy.