Do you know about Kit Armstrong? He is phenomenally smart too. He is 18 now. He plays piano, though doesn't think he will pursue piano, he is just really good at it, like so many geniuses. He does physics and other types of studies wherever and plays piano around the world.

You may want to try and introduce her to some horizontal stuff, instead of focusing on vertical learning in math and reading where she just leapfrogs. Let her learn piano, get online with CTY and start Chinese. If she can focus on learning different languages, an instrument, Karate, she can put her energies there for now.

Good luck.

Ren