This is how someone does something when it feels like a professor. They may speak professorially, nod professorially, or push their glasses up professorially — meaning they sound or look as if they are giving a class, even when they are not at work. It carries the same two flavours as professorial: it can be about the job, but much more often it is about the manner. Though actually, English speakers often use it with a tiny bit of humour, as if the person is enjoying the sound of their own lesson. It is a formal-ish adverb, more at home in stories and newspapers than in everyday chat.

像教授一樣地；帶著教授派頭地