My style of teaching is to very rarely give direct information to a student. Instead, I'll ask a series of impromptu questions which enables the student to make the discovery. This fosters a much greater depth of understanding than if the teacher were to simply recite a fact.
I'm also less concerned about a student's making the same chess decision that I would, than about whether he or she has considered the relevant facts in making that decision.
I have found that this teaching approach helps students learn how to make reasonable decisions in unfamiliar settings, which is of course essential to chess mastery.