In a course this summer, after covering 4.1 of Smart, I distibruted the article by D. Hofstadter, "Discovery and Dissection of a Geometric Gem," from Geometry Turned On (MAA - it just appeared). I "whited out" certain parts, and posed questions to be answered as the students worked through the article. Did the same with a response by J. Conway (look in the geometry forum's archives of discussion groups). Many of the questions referred to related problems in Smart, but others had them looking in the library for other references. We spend three weeks on the articles, and covered a lot more than the usual advanced E geometry topics. The students felt that this was the most interesting part of the course and encouraged me to do it with the class I have now (usual, junior-level, geometry class. The summer group was a bit older).
Hofstadter's article is a good read - I highly recommend it for your pleasure.
Professor M. J. Winter email with attachments: Department of Mathematics or when network is busy: Michigan State University firstname.lastname@example.org East Lansing, MI 48824 fax: 517.432.1562 http://math.msu.edu/~winter/ telephone: 517.353.6337