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. – A. R. Ammons

And take back ill-polished stanzas to the anvil. – Horace, quoted in James Wood, Dictionary of Quotations from Ancient and Modern,

Romance like a ghost escapes touching it is always where you are not, not where you are. The interview or conversation was prose at the time, but it is poetry in the memory. – George William Curtis

[P]oets are masters of us ordinary men, in knowledge of the mind, because they drink at streams which we have not yet made accessible to science. – Sigmund Freud, quoted in A Dictionary of Scientific Quotations by Alan L. Mackay