Hi J.!
First off, she's still young, and normally NOT potty perfect. Be proud of her for her young accomplishments so far.
It sounds like she's ready to be potty perfect, though, if she's successful at daycare all day.
I would "break" her potty, when she's not looking :o) When she comes home from daycare, you can show her that you "accidentally" stepped on it and now it doesn't work!!! Tell her how sorry you are, but you're proud of her for knowing how to use the big potty now and she'll be "OK", etc...
I think she'll be using the big potty in no time at all. She's just normal, and feels more comfortable at home being "little". At daycare, they have to teach the kids to "be big" because they can't handle a bunch of "babies", they need the older kids to be self-sufficient to be functional throughout the day at daycare. Plus, daycare's usually help us at home develope better habits. I remember, my boys wouldn't eat vegetable at home, but ate most all of them at "school" without any trouble at all!
Your daughter is normal, and will come around soon. Don't be too hard on her. Most kids are not that far along in their potty training yet....especially boys :o)
I had this BIG HUGE cheer that I did when my boys were successful with the potty. It would be this "pick them up thing with LOTS of swinging them around"...it focused the LOVE on their success instead of the anger on their not-so-success.
Good Luck!
:o) N.