As Sally says, if a school you're applying to is really into something, it would pay to be aware of what that is (then again, I'm suspicious of any school that appears to depend too heavily on any one thing!); besides, lot of so-called new stuff is really just logical extensions or relabelling of Communicative Language Teaching (and can therefore fit comfortably under that umbrella term), so unless you sound like a too-stuffy grammar (grammar translation?) lecturer or something, I doubt if you'll put anyone off that much.
Me, I just try (in the job, not the interview LOL) to establish linguistic facts/genuinely useful language, and put them into logical/assimilable/not-too-conflicting order (all of which involves due consideration of interactional/discourse factors in speech production especially i.e. my syllabus is not just a list of unconnected linguistic items, but involves actual human activities), and most employers don't object to this "Empirically-informed CLT" (which again is hardly new news - witness the COBUILD project etc).
Anyway, you might like to search for 'SLA' (I'm sure you know what the term means, though!) here on these Teacher Discussion Forums at least, because there are a few book suggestions hidden away (and if the 50 or so results are too much, you can narrow things down a bit by perhaps including 'fluffyhamster' as author in the Search fields); then, there are potentially interesting (informative, even?) threads on 'CLT', 'TBL', and 'COBUILD' (this last term, especially over on the Job Discussion forums) etc.
There's one thread though that you wouldn't find using the above terms:
http://forums.eslcafe.com/job/viewtopic ... 133#722133
Sorry, that's all I can think of right now!
I think we all sometimes fear we are approaching the end of our shelf life or sell by date, but as long as we are trying to learn more about the language or language(s) generally, then posssible fads can ultimately come and go as they please. My allegiance is to facts (and how to relay them best to each new class), not someone else's interpretation (unless it is better) or even avoidance of facts in favour of generalizations that very well may
not work for me or my students (if I'm attempting to convey the language accurately and at all realistically) - I find methodology as recommended is often quite inimical to genuineness (ooh, that's a thought, you could search for 'inimical' too! I've used it at least one other time).