People watch movies - and it's vague ideas, it's vague notions, but people pick up on these things, that they are supposed to think certain ways or that they're not supposed to think, basically, and they don't.
I see Christ as the incarnation of the piper who is calling us. He dances that shape and pattern which is at the heart of our reality.
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.

