Let's assume one joins a project near the end of its development cycle. The project has been passed on across many teams and has been an overall free-for-all with no testing whatsoever taking place along the whole time. The other members on this team have no knowledge of testing (shame!) and unit testing each method seems infeasible at this point.
What would the recommended strategy for testing a product be at this point, besides usability testing? Is this normally the point where you're stuck with manual point-and-click expected output/actual output work?
I typically take a bottom-up approach to testing, but I think in this case you want to go top-down. Test the biggest components you can wrap unit-tests around and see how they fail. Those failures should point you towards what sub-components need tests of their own. You'll have a pretty spotty test suite when this is done, but it's a start.