Today's NY Times Magazine has an article titled "Why do Americans stink at math?" It gives a very positive depiction of a set of methods advocated by Magdelene Lampert in her book Teaching Problems and the Problems of Teaching (which I haven't read). As described in the article, what Lampert advocates is changing from the traditional "I, We, You" method (demonstrate how to solve a problem, then do one with the students, then have them try one individually) to what the author of the article describes as "You, Y'all, We." In this method, the teacher starts class by posing a single "problem of the day." Students first try to tackle it individually, then get together in groups, and at the end the whole class discusses it.
Lampert seems to specialize in elementary education, especially grade 5-ish. Is there anyone here who has tried this method at the college level, or who knows of an account of whether it's been tried, or whether it is or is not likely to be appropriate?