I used to be a rather slow typer when I was in typing classes. I couldn't handle the formal way, with keeping the hands in the exact positions. Now that I've spent a great amount of time on the computer and typing, my speed has improved my way. I just type with my fingers going in any direction.
As for not looking, there are times when I have to look. But the way that my desk is situated compared to my chair, I can see my keyboard without moving my eyes away from the screen. Darn the fact that my desk is so low and my chair so high. There are also times when I have to look at the keyboard, like when I have a headache, or the keys stick and I have to pound a certain key. So I have to make sure that I pound the correct key.
I am also rather fast at typing with one hand. It was a task I practiced for a fanfiction I'm writing based on a book, and I wanted to make sure I had the facts correct while typing.