I believe there was some work done using small talk to teach children physics where they were able to do quite complex things without having to understand calculus... can't quite find the link right now.
Basically, the idea is that you can introduce deep mathematical concepts very early by adopting a more intuitive media. Also, take a look at McLuhan[2] to understand how the media shapes the message if you really want to go deep into it.
[1] http://www.papert.org/works.html [2] http://en.wikipedia.org/wiki/Marshall_McLuhan
http://www.amazon.com/Mindstorms-Children-Computers-Powerful...