And frankly, that would be the best result for all involved. Historically, when a mob topples a government over an unpopular policy, the end result is not good. Now, if they had a goal in mind, something other than inchoate rage, then they might be able to get something done. Probably still end up bad, but at least there's a chance.
Hrmm, most states seem to do a great job keeping anarchism on the hush-hush, so it's not likely they'd try anything. I'd be utterly shocked if they knew what they were doing:
Education in Turkey is governed by a national system which was established in accordance with the Atatürk Reforms after the Turkish War of Independence. It is a state supervised system designed to produce a skillful professional class for the social and economic institutes of the nation.
With this in mind, it's almost guaranteed they're all just pissed off and have no idea what they really want out of it, aside from showing a whole lot of discontent.