Boy, that's a great question, and a hard one to answer since I'm neither a scientist nor an educator. However, as a student, I know how I would like to have a class organized that I was in by at least three different modules, devoting one or more classes to each module:
1) Overview
The first class would be primarily lecture, starting with the basic theory of AGW and how it fits in with natural processes. I think one of the most fundamental misunderstandings of the issue is that science does not say that natural processes are not a factor in climate change. That theme is repeated so often that it would be very important to make that one of the foundations of the class.
The first assignment would be for each student to research the literature in the media, including television reports, on line resources, government organization reports and scientific resources.
2) Politics of Climate Change
In the second class, I would examine the positions of various groups, organizations and individuals that are either proponents of AGW or opposed to the theory. I'd define various labels that have been applied, including alarmist, believer, skeptic and denier, and what each label really means. Hopefully this would set the tone for class participation that focuses on the issue rather than idealogy, then I would open up the discussion on what resources each student found and how those resources fit into the mix of definitions.
3) Government Policy
For the third class I would devote time to discussing the various methods government has proposed to mitigate climate change including alternative energy, cap and trade, and other actions. We would discuss the potential economic and social impacts of mitigating global warming and other factors that influence policy, including such things as energy independence and geopolitical balance.
Following those introductory classes, I would want to return to each topic and explore them in more detail. I'd like to bring in a climate scientist to discuss the data, research, findings and recommendations, followed by a skeptical scientist to analyze the issues. Then I would bring in two politicians versed in the potential economic and geopolitical impacts of the proposals for a "debate" from opposite sides. I wouldn't want to stack the deck one way or the other in either case by bringing in say, Hansen and Lindzen, Monkton and Gore, etc. I'd try to get more moderate and less activist extremes. I'd also like to bring in media figures capable of analyzing the influence media has had in politicizing the issue of climate change. I'd also like to have a statistician address the class and give an overview of statistical analysis and probabilities, opinion polls, meteorology and so on-the evidence I have seen so far seems to indicate that most people are painfully ignorant about what statistics are really all about, how polls are conducted, the differences between scientific and straw polls, and so on.
Then I would break the class down into small groups, and assign each group to investigate and report on various topics, such as the historical record of climate change vs. mankind's impact(s), the future predictions, skeptical arguments, alarmism vs. denial, alternative energy, and geopolitical influences.
Of course, this is just off the top of my head and I'm sure I'm leaving out a lot of details and perhaps getting the cart in front of the horse in some ways. I think one of the most important considerations is carefully outlining what constitutes legitimate debate and what amounts to alarmism or denial very early on in the class. That might help people focus on the issues rather than the emotional sidebars and save some embarrassment and wasted time on sidebars by whining about stuff like the Mayan calendar and how we are all going to die in 2012, Manhattan being 70 feet underwater next week, Al Gore being a big fat hypocrite and what that supposedly proves, or cavemen not having SUVs. All that stuff could be reviewed after the context of such arguments and how they divert us from grasping reality is discussed, but the overall emphasis of the class would be the analysis of the data and research rather than the public circus that has developed as a result.