Poetry leads us to the unstructured sources of our beings, to the unknown, and returns us to our rational, structured selves refreshed.
Once every five hundred years or so, a summary statement about poetry comes along that we can't imagine ourselves living without.
Even if you walk exactly the same route each time - as with a sonnet - the events along the route cannot be imagined to be the same from day to day, as the poet's health, sight, his anticipations, moods, fears, thoughts cannot be the same.
I must stress here the point that I appreciate clarity, order, meaning, structure, rationality: they are necessary to whatever provisional stability we have, and they can be the agents of gradual and successful change.
Besides the actual reading in class of many poems, I would suggest you do two things: first, while teaching everything you can and keeping free of it, teach that poetry is a mode of discourse that differs from logical exposition.
Everything is discursive opinion instead of direct experience.