Parable: A story in which a lesson is expressed in terms of something else. A story illustrating a lesson using analogy. A short story that teaches a lesson. A simple story illustrating a moral or religious lesson.
Parable comes from a combination of two Greek words. Παρά means beside, and βάλλειν means to throw.
My wife sometimes tells me the parable of the lawn left un-mowed. Good story. Not sure what she is getting at, though.