How can I tame my wild (crazy) kitten?

I have a 6-7 week old kitten that is having behavioral problems at what seems like a young age. She has these moments usually when it's racing around the house acting like a wild cat, biting anything that moves and hiding under things, like it's practicing for life in the jungle. Alot of the times the kitten will nip and scratch hands and feet and I'm afraid of that only getting worse and more serious as it gets older. Another thing is sometimes when it's approached or about to be picked up suddenly it arches it's back, gets this crazed look and hisses or spits, though never actually lashing out. How do I nip aggression in the bud before it goes to play aggression to serious aggression and help her adjust to living with people. I do try to pet and cuddle her very often and I'm home most of the day, but she's only affectionate if she's ready to go to sleep, at all other times she's searching for fingers and toes to attack... In the end I just want a people-friendly, well adjusted cat, not a fresh from the wild bobcat that attacks on whim.