I would assume that the two articles each take a different point of view of global warming. A synthesis paper would presumably involve trying to reconcile the two opposing points of view, taking the facts listed in each into account. The reason you wouldn't be allowed to use outside sources is because the goal of the assignment isn't to try to destroy one argument or to bolster the other, but to learn to integrate two opposing viewpoints. At least, that's what it sounds like to me. So, you might start by briefly summarizing each of the two arguments, perhaps each in its own paragraph, then move on to a discussion of how the two arguments can be combined in some way. It would help if you could provide links to the two articles, as more detailed feedback is harder to give without them.
Sean, EssayForum.com