Hi!
I would NOT EVER use punishment on her! Tell the school to use the incentives at the end of each day...this is partly THEIR job, too, NOT just yours since you aren't there. Do NOT allow them to tell you to put her in a pullup! That's going backwards! She's only three, after all. Her fear of public toilets explains a lot (to me, anyway). You MUST be your daughter's advocate...no one else will. Don't be afraid to stand up firmly to the school's staff, OR to find another school! I have learned to follow my "gut" and not be afraid to fire doctors, etc. Sometimes, things just aren't a good match, y'know?
My now 16 yo son was a bedwetter until about four years ago. We tried EVERYthing. Except one. He is missing a hormone and is now on daily medication...no more wet bed! This doesn't mean your daughter has this problem, naturally.
Her fear of public toilets could be the crux of the matter. Take her out to public toilets whenever you are out w/her and make the potty a pleasant experience...go in with her, of course, and help and guide her thru the process. Accompany her to the bathroom at your friends'/neighbors' homes, too. Lots of praise for a job well done, too! Claps, whatever. I don't believe in using candy all the time, but stickers, etc., work, too.
Honestly, some school staff are flat out LAZY. My son was not completely potty trained until he was six! He has a developmental delay. His day care was wonderful and worked with me, not against me. They NEVER suggested putting him back in a pullup! We worked TOGETHER! Also, they had toilets that sat lower to the ground, for the younger kids. At home, I used a small step stool where he could get on the toilet AND rest his feet on the step stool while there, providing some stability. I let his daddy teach him how to do #1 standing up :D We'd float tissues, etc., in the toilet and get him to aim at it and try to hit it :D
I remember as a child being afraid I would fall in; my mom taught me to sit sideways and it worked! Somehow, to me, it felt safer that way.
Good luck and let us know!
Robyn
Westminster, MD