"I was wondering if you help me figure out what is the difference between part time and full time (faculty) jobs? A university I applied to wants me to take a part-time job. I really don't know what 'part-time' means. My alternative job is a public school."
I don't really understand the "part-time" thing either. Most uni jobs are somewhat part-time anyway, since the contract is only for 12-18 contact hours at most unis. Does "part-time" mean only 8 or 10 hours? I don't know. My guess is that the uni is trying to get out of offering you any benefits, such as health insurance, pension, or housing. They are perhaps wanting you to work as a "contractor" of some sort, instead of a full employee.
Anyway, I don't know. You'd have to go over the contract carefully to figure it out. And maybe ask the uni exactly what they mean by that.