Possible, not Intuitive

This is, perhaps, a useful guide to how I teach (and the angst it appears to regularly cause). Thanks to the inestimable Mark Bernstein. As I wrote to students today (well, blogged), leaving a class confused isn’t really a problem unless you think the role of your teacher is to unravel your confusion, or to explain things so simply that nothing troubles. But if confusion leads to wonder, in the sense of wondering and even wonderment (why am I confused? why does that trouble me, what is it, at heart, that confuses me? what am I going to do about it?) then we’re well on the way to learning. Not telling, swallowing, but learning.