T.K.
Hi L.!
I can't imagine how hard it must be to hear your child is biting other kids! My son does in-home daycare, and recently started screaming fits. I worked at a daycare throughout my 4 years at college, and biting was pretty much an everyday affair. They have to share EVERYTHING and battle for attention. Biting is a way to protect their territory and themselves. So as much as it sucks to hear, biting is a phase that most day care children go through.
I recently read a book called "Parenting Young Children". It brought up an interesting point. Young children are going to yell and say no because we constantly tell them no. No is a word they hear ALL THE TIME! It suggests putting yes into more of our sentences. For example, instead of saying no when my son takes, let's say, the remote, I could say "Yes, I know you like the remote, but it can ochie you Christopher. No more ouchies. Let's play with your _______". That way, I am acknowledging his feelings, which may lead him to be more cooperative in the future.
My son screams when he wants my attention, or wants something done his way since he's such a "big boy" now. Maybe your daughter bites and throws tamtrums because she needs more personal attention or one-on-one time or is angry she can't communicate what she wants and needs as effectively as she wants.
Since my son's tantrums started I try to acknowledge his feelings a lot more. If he's screaming for my attention, I ask myself what could be bothering him; is he uncomfortable in the situation we're in, have I been trying too hard to get chores done and he's hurt I haven't played with him, etc.? If he's screaming because he wants something, I ignore him. It usually stops quickly when I ignore it.
I also get down on his level, and tell him to stop very firmly and somewhat loudly, just enough to startle him. It gets him calm enough for me to ask him what's wrong and what he needs. He can usually then let me know what he wants by pointing, guesturing, or signing.
That's what I do. I hope you find something that works for you. Good luck!