My wife is a teacher in a private school run under a Classical model. I personally love the model. Based on ideas from ancient Greece, children are not only taught facts, but they're taught grammar, logic, and rhetoric (basics of knowledge, then how to form consistent ideas, then how to defend those ideas). The children that graduate are incredible. Each senior must compose a thesis throughout their Senior year that they then present to leaders in the school & community and must defend it like a dissertation. The one that stood out to me this year was entitled "A critique of the ethics of the new atheists compared to Ayn Rand's more philosophically consistent ethics of selfishness." Really cool model. Not overly authoritarian, private, and it cultivates reason and defense of reason.