If I may add something, I just want to say that we often underestimate the potential for innovation amongst our kids, particularly at the K-to-12 level.
I want to talk about an experience in France. It's called MATh.en.JEANS—math in jeans—and about 100 professors, researchers from the CNRS, the Centre national de la recherche scientifique, go to primary schools to talk about research and mathematics. You would think that you'd need the basics. No, you don't need the basics. There are geometry concepts. There are a lot of concepts that don't need any background. They stimulate the kids. They build their confidence and so forth.
Normally, you wouldn't do that. By the book, you don't do that. But they do that and it works. Maybe that's why they have some of the greatest mathematicians in the world.