Oh, perfectly reasonable but rather tough question. My thinking about teaching infinity is now at odds both with everything I've read, and how I was taught. It also depends on your own inclinations, strengths and background.

Brian Clegg's book on infinity gets good reviews, but I haven't read it. I'm thinking of starting a blog series on it, but with everything else I have on I may never really get to it.

But as I say, in your specific case it really depends on your background. If you're really interested perhaps you could email me more details on what you've studied and what you've read, and I can write some brief articles by way of reply.

Try _Everything and More: A Compact History of Infinity_ by David Foster Wallace.