I was only in middle school when I first learned the benefit of challenging my teacher.
I was in seventh grade pre-Algebra. My math teacher, Mrs. K, had just handed back our quizzes to the class. I had gotten only 1 wrong, but 4 out of 5 is an 80%, and I was not happy that I had gotten a C.
Math was supposed to be my strong suite. I was pretty good at it, and numbers just made sense to me. So if this was supposed to be the class I was good at, I would not settle for any grade besides an A for the class. And getting a C on a quiz was not going to work for me.
I waited till after class to talk to my math teacher. She sat down with me to work this problem out together. The only problem was, she was wrong.
She showed me how to solve this problem, and I showed her how to CORRECTLY solve the problem. We went back and forth in disagreement for a long while. (We could not agree which step in PEMDAS was the correct starting point).
We argued for SO LONG that she finally got so frustrated she shouted "Rachael, what do you want?!"