A school is a learning academy that a child goes to. Higher education is not done at a school. This is as daft as saying "you could of" or "intensive purposes" or "you could care less". Such English, for that's what we speak/type here, terms in American language are just plain wrong.
Well, I got my PhD from "The Graduate School of Arts & Sciences" at a particular university.
In casual conversation, I've had many people ask, "What school is your degree from?" It doesn't bother me at all.
Also, on the Canadian "College" usage -- if I'm not mistaken, at least in Ontario (where I spent the most time) there were any number of what in the US we'd call "high schools" that called themselves "colleges," and not to put on airs. It was widely accepted. I learned this the hard when when dealing with an athletic event that had both high schools and universities computing. I moved a team from "XX college" into the university category, bad mistake.