A small number of kids in NYC are going to what their parents call "unschool" (i.e. home schooling with an unstructured urban twist).
With Benny, Mr. Lewis went on to say, "we embraced a hybrid between home-schooling and unschooling. It's not structured, it's Benny-centric, we follow his interests and desires, and yet we are helping him to learn to read and do math." They read to him hours every day. "It's about trying to find things we both enjoy doing," Ms. Rendell said, "rather than making myself a martyr mom. The terror of home-schooling is you have to be super on all the time, finding crafty things to do."
Here's the Babble article on unschooling mentioned in the article.