Transitions: although, but, contradicting, despite (the fact that), however, in contrast, in spite of the fact that, in spite of this, it cannot be reasonably deduced/inferred/assumed from this that, nevertheless, nonetheless, notwithstanding, of course, on the contrary, on the one hand... on the other hand, paradoxically, still, that is, the previous does not imply/demonstrate/show, the apparent implication is that, unfortunately that does not, while it is the case that..., still..., while it may be that, while it may seem that, yet
Example: The author did supply multiple sources to support her overall point. However, these sources were not peer reviewed or scholarly, which diminishes the power of her overall argument.
Explanation: In these two sentences, the author is presenting contrasting information. The first point (the fact that sources were present to support the author's point) contrasts the second point (the sources were not credible, thus limiting their support of the essay's argument).