I think it was Cale Yarborough who said, "[Understeer] is when you hit the wall with the front of the car.  [Oversteer] is when you hit it with the back of the car."
Understeer is when the car wants to plow through a turn and not change direction.  Oversteer is where the rear-end wants to overtake the front.  On the street, that usually leads to fishtailling.
(Note to nitpickers: He actually said "tight" and "loose", which is why I put "understeer" and "oversteer" in brackets. 

 )