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I haven't tried it yet myself, but I noticed a nice-looking iPad app called "Typography Insight". Looks like it's aimed at folks who want to learn the basics.
A review at The Atlantic:http://tinyurl.com/3szx6qt
Well, I notice in the promo shot above that the category under the finger, Egyptian/Slab Serif, is not actually exemplified by the typeface shown/named, Century. So much for “insight.”
Or maybe the finger is just trying to point out the error?