I think we just throw around different words with the same meanings... But for me, if I was interested in someone, I would get to know them or whatever, we could just hang out, grab lunch, whatever. After a few times of that, ask her out on a legitimate date. After a couple of those, decide whether we wanted to date exclusively or not, and if so, then do it.
Being in a college relationship with someone whose parents may or may not be 1000+ miles away, "courtship" like you guys are describing is not feasible. Group dates aren't really possible, and supervision isn't possible. That doesn't bother me, but of course I probably have different standards for what can happen in a relationship before marriage than most of you anyway.