In the student's appeal to their teacher, what method is being used to persuade her?

The method of persuasion being employed in this scenario is the appeal to flattery. This approach involves complimenting or praising the teacher in a way that is designed to create a positive emotional response, making the teacher more receptive to the student's request. By acknowledging the teacher's qualities or contributions, the student aims to foster goodwill and increase the likelihood of a favorable outcome.

Using flattery can be particularly effective because it not only boosts the morale of the person being flattered but also creates an implicit obligation to reciprocate the kindness, which can influence decisions in the student's favor. This strategy is distinct from other methods, such as logical reasoning, which would involve using facts and evidence to support a claim, or appeal to emotion, which invokes feelings without necessarily flattering. Ultimately, the focus on praise directly aligns with the characteristics of an appeal to flattery, reinforcing the intended persuasive effect.