Make Prelude's map = fmap

Since there's been so many suggestions concerning radically changing the Prelude recently, I'd like to start a poll on a subject. I know that "map" is limited to lists for the beginners, but then we're already making a lot of unbeginnerish changes to Prelude. Also it's not a monad transformer, but just a functor - how can a person learn Haskell without understanding what a Functor is?