The answer to your question is this: If you are talking about an "Im the center of the universe" type rebelion, this usually manifests itself betwen the ages of maybe 12-22. That is adolescense. If you are talking about becoming jadded towards authority figures because of their apparent failings, that comes from specific experience and has no connection to age or maturity.
Let's say you decide to take piano lessons from me (assuming you aren't a concert level pianist). I begin by teaching you the fundamentals; which keys have which names, how to position your hands over the keys, the circle of fifths, etc. You catch on fast because you are a pretty bright person. I go on to teaching you slightly more advances stuff, but you think I am moving too slowly, and start to think I don't know what I'm doing. Does that make you better than I am at playing piano? Probably not. What you may not know is that I've been teaching since I was 12, and I've learned that certian students need to be taught in certian ways. Frankly, I know how to deal with kids looking for someone to dump on. I teach them a bit slower, and I often will not play the song for them. My point is that often you will telegraph your feelings before you even get to know the teacher, so you end up being preempted.
If, however, you go to class without a grudge, looking to learn, you have a better chance of getting on with your teachers just fine.
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