I'm going to university this Fall (freshman) and, having been repeatedly encouraged to make connections with professors/find a mentor/network, am wondering...how? In high-school, the kids who had good relationships with teachers usually just hung around their offices and chatted. I have trouble seeing that fly with professors. Should one just think of interesting questions to ask about material in class, and use that as a "foot in the door"? I want professors to see when I'm interested, but at the same time I don't want to bother them with questions they may find banal and uninteresting. So, I mean, short of asking "will you mentor me?" how does one do this?