Just throwing out an idea...
1) Have your DD start each day with a set number of points... 5, 10, whatever works, depending on her behavior.
2) Each time the teacher has to give a reminder to your DD, she tells DD she's just lost a point.
3) Teacher records the number of points remaining on a sheet at the end of each day, which goes home to you at least weekly.
4) Your DD accumulates points and cashes them in for various predetermined rewards at home.
For the initial points, whatever you set it to, you want to make sure your DD won't hit zero too early, or too often, because then she might decide she's got nothing left to lose, and REALLY misbehave.