Try out my free pattern - 2 coloured Brioche cowl in the round - I found this the easiest way to learn brioche. When working 2 colours its easier to see exactly where you are. Working in the round you don't have to worry about the edge stitches (do you knit, purl or slip stitches, always a confusion!).
Before you start, take a look at the above links and please don't be intimidated by the terminology. Nancy Marchant who hosts a beautiful web site all about Brioche, developed 2 basic Brioche stitches that once you get used to them, does open up the world of Brioche for you.
That is the BRK and the BRP. For the basic brioche without any increases and decreases then all other abbreviations are the same as normal.
brk (brioche knit – also known as a bark) = knit the stitch that was slipped in the previous row together with its yarn over.
brp (brioche purl – also known as a burp) = purl the stitch that was slipped in the previous row together with its yarn over.