Braces, NCCT, and a new logic puzzle

Alrighty -- big news of the week is that, if things go well, and I figure out when my appointment is, I'm getting my braces off before I go to Sweden! Which would be awesome.
Of course, the only problem is that I don't know when the appointment is, and have no practical way of finding out...I suppose it'll work out somehow.

On another note, congratulations to all the NCCT kids in and involved with High School Musical! It was really good. I, not being a conneseur of theater, however, have really nothing more to say about it other than that I enjoyed it.

**Logic Puzzle of the Week**
(I couldn't find it in What is the Name of This Book?, but that doesn't mean it's not there)
On the same island of knights and knaves, you are told that up ahead you will come to a fork in the road. One way leads to a village of knights, whereas the other leads to a village of knaves. You are also told that the crossroads is always attended by an inhabitant of one of the two villages, but are not told from which.
Your challenge (part a.): Ask the guardian one question, from the answer of which you can determine which way leads to which village.
If you work that one out, try to wrap your head around this (part b.) Ask the guardian one question from which you can determine a, which way leads to which village, and b, whether he is a knight or a knave.
I have yet to work out an answer to part b, or even if it's doable, so try to beat me.

As always, you can post answers as comments (although you should wait a couple of days to give people a chance), or you can email them to me at smithw12321@gmail.com