the kiddie is attention seeking and the only way she knows that works is by being naughty.
Shouting and screaming does nothing but gets the parents worked up, then the kiddie crys, then you think she listerned, but she didnt because she dosent understand why mummy and daddy are shouting at her,only that they are.
A calm firm manor spoken clearly so the kiddie understands might help, but it means mom and dad both being united and no one giving in and like Tabetha said, give out the punishment in your own time, when youve had time to think about it and also so she's had time to think about what shes done.
I did a "star chart" for my kids, ie:naughty no star on the chart or one taken away, be good and get one put on, let the kiddie put it on her self, a sence of achievement if you wish, then when she gets to say 7 (7 good days of behavour) treat her, let her choose the treat, give her the option of say 3 that are affordable to mom and dad, this way it dont get silly.
As for the school thing, tell her that (and only if she likes the school) that they wont let her back till she stops being naughty and if she's not carefull she will have to move school and have to make all new friends, tell her that youve been called in by her favorite teacher and this is what youve been told.
BRB
wife needs me.