Brioche stitch is stretchy, squishy, fun to knit and oh so warm! Here are some helpful video tutorials to demonstrate how to knit brioche stitch in the round.
The set-up round is worked as (k1, sl1yo) to end. This set-up round will not be repeated. To sl1yo, bring the yarn to the front of the work between the needles, slip the next stitch purlwise, then bring the yarn over the right needle to work the next knit stitch. The slipped stitch and yarn over will be worked as 1 stitch from now on.
The first brioche round is worked as (sl1yo, brp). Bring the yarn to the front and slip a stitch, then bring the working yarn over the right needle and back to the front between the needles. Work a brioche purl (brp) by purling into both the yarn over and stitch as one.
The second round of brioche is worked as (brk, sl1yo). The stitches that were slipped in the previous round will be worked, and the stitches worked in the previous round will be slipped. Brioche knit (brk) by knitting into both the yarn over and slipped stitch as one. Then slip the next stitch with yarn in front as established.
Repeat these two rows and you'll be well on your way to a cozy brioche stitch project!