Awhile ago, DD's teacher wanted to discuss how we can best handle DD's persistent negotiation and she shared with me what transpired between them earlier in the week and it went something like this:

DD: Would you please give me another choice?
Teacher: You have two choices to choose from and that is all you get at school.
DD: I want a third choice, please.
Teacher: Thank you for asking me so politely but no.
DD: But neither of your two choices are acceptable to me. I don't see why I cannot have a third choice.
Teacher: I'm sorry but we do not have the time to have a discussion about this right now. If you cannot choose then you can sit out of this activity. There are no other choices.
DD: That is a false dichotomy. (This comes straight from SO; he's been talking to her like this since she was 1)
Teacher: ...I am giving you a last chance to choose.
DD: You're always telling me to be flexible and I think it's only fair that you set a good example.

I told her, I really did not know how to make her stop either but in moments of desperation, I have resorted to giving her bribes incentives to stop, which probably made the problem even worse. I'm just grateful that her teacher has the patience to deal with DD without losing it.