TITLE: Nearly all math classes are lecture+problem set based; this seems particularly true at the graduate level.  What are some concrete examples of techniques other than the "standard math class" used at the *Graduate* level?
QUESTION [30 upvotes]: In the fall, I am teaching one undergraduate and one graduate course, and in planning these courses I have been thinking about alternatives to the "standard math class".  I have found it much easier to find different models for undergraduate classes than for the graduate classes.  
There are many blogs and other online resources focusing in large part on math pedagogy, often taking "nonstandard" approaches to the math course (Moore method, inquiry based learning, flipped or inverted classroom, Eric Mazur's "Peer instruction",...).  For instance, Robert Talbert's blog discusses the practicalities of the "flipped" classroom, and here Dave Richeson discusses teaching undergraduate topology using the modified Moore method.  Note that although Moore originally used his method in a graduate topology course, most discussions of it and its adaptations are at the undergraduate level.
Of course, the basic principles of the methods would still apply at the graduate level, but I still find myself wanting to see specific examples of different approaches people have used to teach a graduate course. 

Are there similar discussions of teaching a nonstandard math course at the graduate level? Or at least links to syllabi, course webpages, etc. for such courses?

Further background:
First, it is of course hard to pin down exactly what is meant by "standard math class"; for the purposes of this question, let us highlight the following:

In class meetings, the vast majority of time is spent with the professor lecturing.
Nearly all the assessment is done via problem sets and quizzes/exams.
The textbook runs in parallel to the class lectures.  Although lip-service my be made to reading it, there is little structural dependence on it, except perhaps as a source of problems: lectures do not depend on students having read the book, and problems are not asked on material not presented in lecture

Second, though descriptions of the form "I once took a course where..." could be interesting, It would be particularly valuable to have links to course webpages with syllabuses/etc. describing in more practical detail what happened, or discussions from the actual professors doing the teaching about what they did, their reasoning behind it, how it went it practice, etc., as opposed to just a collection of anecdotes.
Finally, though what I have discussed above tend to be rather drastic changes from the "standard math class", of course things run on a continuum, and smaller deviations are possible. For example, I have taken graduate courses where student presentations of selected material played a role, and where a part of the grade was given to an expository paper.  But in the courses I took these were usually rather minor deviations from the standard structure.  Examples of similar smaller variations would be valuable if they were particularly well documented, or had explanations of why these variations were particularly important and not just window dressing.

REPLY [4 votes]: A good strategy for a class which I endured for a couple classes as an undergraduate and to a lesser extent as a graduate student for a couple classes is when the students make presentations for at least a substantial portion of the total number of class sessions, and make most of the students grade based on presentations.
If the students make presentations for class, then there are several obvious advantages. First of all, if the students make presentations, then they be better prepared for teaching and making presentations at seminar and conferences. Being able to talk in front of people with out becoming paralyzed is a very valuable skill to have. The students may even grow comfortable enough with making presentations, that they may even become comfortable enough to tell a couple appropriate jokes during the presentations during class. Also, when making a presentation on a certain topic or result, the student should have a deeper understanding of that particular topic. A couple years ago, I had to make a presentation on a certain paper, and I can still recall from memory several details about that paper that I made in that presentation. Furthermore, if the students give presentations for class, then class can still be held when the professor is away at a conference of something. This surely beats cancelling class altogether. I once made a presentation outside (yes outside) in front of two other students while the professor was away at a conference :).
Of course, for this strategy to work, the class cannot contain too many students, and the students have to be motivated and able enough to give high quality presentations.