Mine actually draws on her clothes. She claims it helps her to focus...who knows. When she's not drawing she's fussing with her hair and pulling at it (she has shirley temple type ringlets that tend to get all messed up/snarled). Teachers report finding clumps of her hair and then they know she was either bored or anxious.

There are various fidgets that can be used instead if the teachers are Ok with it (they should be if she has a 504 or IEP). I would't assume that it's due to boredom, it could be a symptom of hyperactivity.