Wow! Your children's success just goes to show how children can learn much more than what is "standard" given the right environment. Learning at your own pace and about something that you are interested in and choosing whom to collaborate with are vastly different from constantly being compared to others, put on the spot, tested, overloaded and made to sit still all day. You can create your own "structure" and learn to be self-disciplined which really is a valuable skill to learn.
I just went to a presentation about the Flow theory and Montessori, by Kevin Rathunde. His data shows that Montessori allows children to excell not only academically but socially and physically as well. He's research compares Montessori to traditional Middle Schools.
I recently met a woman who runs an arts program and dance/movement summer camp. They recently began to include "interdisciplinary" courses such as science and math. There are alot of interesting things to learn about our world. Why wouldn't they want to learn?
My sweetie and I have a lovely little lady 07/02 and 3 cats