Teaching vectors to people who have had no math higher than basic algebra
was quite a challenge.


I can remember the first time vectors and such came up in math class. I
got hung up with the names they gave numbers that had "i (square root of
-1)" in them. "imaginary". To me "imaginary" = "fake", so why would
you talk about fake numbers in a math class? If this was English Lit
class, then sure, anything goes there, but not in math class....
You'll probably run into things like this, and have no idea what the
problem is when you do the teaching.