Kriston - it sounds like an interesting theory. The hole I see in it is that *we* have to understand the math concepts deeply enough to apply them to everyday life. And when to spiral around to the concept again. Personally, it's been over 20 years since I did much (any?) calculus. So, for example, could I really seize the opportunity of having a popsicle to teach how to figure the volume? Well, I remember the concept and I remember it requires some kind of formula and it is calculus but it would take a lot of study on my part to learn all of that (most likely from a book). So, unless math is intuitive to one, it would make more sense to teach it to both parent and child from a book together and then incorporate it into other subjects and activities.

Of course, I'm not an expert by any means. Just my initial thought. I think it's worth more consideration. And, by the way, I minored in math in college - really stuck, huh?