The school I went to was a Dalton school (though basically only in name, as explained below), one of the pioneering futuristic school systems developed in the early 20th century which said that people would learn more if they are allowed to learn about what they actually care about. My school had a copy of the original book describing the Dalton school system in the library. Almost everything described in the Dalton school from 1905 would be illegal if it were done today.
My point is, I'm fairly left-leaning but I support a radical deregulation of education on all levels: this seems to be one area where we should let the free market take care of things. And of course, if it turns out that a different way of teaching works better, there's nothing (except inertia) stopping the public schools from adopting the same methodology, making it universally available.