There are (at least) six (6) ways to hold the crochet hook.
Know Your Hands - 6 Popular Crochet Holds
1. OVERHAND - the butter knife hold.
2. OVERHAND - the saber hold.
3. OVERHAND - the piano claw or cupped hold
4. UNDERHAND - the pencil grip
5. UNDERHAND - the chopstick hold
6. UNDERHAND - the pinky fly hold
I thought that there was just "pencil" hold and "knife hold". Well, this article breaks these holds down even more.
So help me, I don't see my way of doing the pencil hold represented here.