Summaries of research
Research bites is an excellent site which offers summaries of ELT and SLA research. THe site offers summaries of single papers in clear and accessible terms. There are a range of author and I believe the summary writers write to the article authors to check that they are happy with the summary. Anthony Schmidt runs the site and his own blog is worth a look too.
The OASIS summaries page offers something very similar to research bites but is run by academics rather than teachers. They also offer advice about how to cite the summaries in your research. The summaries are in pdf form and can be download. The IRIS database also includes summaries of research and in addition to that offers research tools . The NCELP is another site which offers resources but for modern language teachers.
Free access journalsShould you want to read academic articles directly there are a few things you can do. There is increasingly a move towards open access in all kinds of publications and ELT is no different. This article on open access in ELT, is open access. It's written by Emma Marsden who is a big advocate for transparency in research.
ELTjam featured a really nice article showing you which journals have free access and limited free access and these days most journals have something you can view for free. The article has a lot of great tips on getting hold of articles (legally) for free. Another thing you can try is writing to the author. With academics I've had a pretty good success rate when just emailing them and asking for a copy of papers. I think most of them are just overjoyed that someone wants to read their stuff. Disclaimer: I wouldn't try this with someone who makes their living selling reference books and the like. I very much doubt Scott Thornbury will email you a copy of 'the A-Z of ELT'.
The British council and Cambridge (CUP) both offer some of their own research for free. You can get hold of quite a lo of good quality stuff just by browsing their sites. It should be noted that nothing in this post represents an endorsement of any of the research you find on these sites. For instance, the British Council site has a section on the dubious '21st century skills'
WebsitesThe education endowment Foundation also offers some summaries of research (though it is general education not ELT). The site also has reports on various areas of teaching. The site is very accessible and lays out information in a very accessible way.
A couple more useful sites are 3 star learning and the learning scientist (the latter of which has an accompanying podcast). They both offer interesting articles on research in Education however the former seems to have no way of navigating the site. The learning scientist has some nice, clear downloadable resources. (Thanks to Anthony Schmidt for directing me to these two websites.)
blogsThere are a number of blogs which seek to present evidence in education. This blog, for instance has a 'try this it works' section which attempts to summarise research. Philip Kerr has some good stuff on translation and adaptive learning. In addition to this Greg Ashman's blog on teaching is usually well researched as is David Didau's 'learning spy' site. These last two are general education though.
If I missed anything out please let me know and I'll update this page.