Re: HK's idea-- what if she's doing this because she's anxious about kindergarten? IMO you can't assume an anxious kid-- even a PG one-- wants to "move ahead."

Any weird behavior that happens this close to a transition may be about the transition. She may be trying to derail the transition to K. I'd talk with the private professionals who know her best (not the school staff, who clearly don't have a good read on DD) before making any move as a result of the behavior.

DeeDee