As someone who happens to have teenagers living in their home, I am not so naive when it comes to them.
You have to know when to be strict and when to be lenient. Being too strict is just as bad as being too lenient.
Rebelliousness is a part of being a teenager, its part of growing up there is nothing wrong with it, Stiffiling it doesnt work. Good parents and good teachers will realize this and channel that rebelliousness to positive outcomes.
In public schools they will try to channel those things into band , art , acting , sports and other extra curricular activies. Unfortunatly there are few outlets in the frum communities to do the same (and this is also in the more modern communities as well. Its something sorely lacking on all sides)