What are the branches of Educational Philosophy? I have :

Metaphysics
Epistemology
Axiology

Is that correct???

It looks right.

http://oregonstate.edu/instruct/ed416/PP1.html

Does it vary by state?

No.

Okay thank you.I have to choose which one I would use in a classroom. Right now, I'm thinking Metaphysics. I was also thinking Axiology but I thought about the 'reality' part of it. What do you think??

I don't like these choices, but axiology is probably best.

Why do you feel that way? Is it b/c it deal with what is right and what is wrong?

Yes.