I will just throw in here that some of the best times I have with my DD are when I am teaching her something. We clash a LOT, but rarely during the teaching process. That isn't to say it doesn't happen--and when it does, look out--but it's not usual. She is happy and engaged when learning--the wheels stop spinning ruts into the ground and she focuses. So at times I have sat down to work with her on...something (could be spelling words or math concepts or teaching her a new word game) just because it tends to be a positive time for us.

This is why I say that DD is really a teacher's dream, given the right teacher.