Last fall I hunted for help on grafting 2x2 ribbing and found this excellent post from administrator Amy: http://www.knittinghelp.com/forum/sh...top+bottom+rib
I had to study the instructions for a while before it started making sense to me, and it also helped me a lot to write it out for myself in the words *I* use to keep track of myself while doing kitchener grafting.
For example, with regular stockinette grafting, I think of it as
prep:..... (front) purl;...... (back) knit
main part: (front) knit, purl; (back) purl, knit
When you are grafting stockinette, the two stitches you are about to work on always KK (because all the stitches are K). When you are grafting 2x2 ribbing there are four different possibilities for those two stitches at the tip of your needles:
(which you are used to, it's just like stockinette)
(That is, KP
(above) means the stitch at the tip of the needle is P, and the stitch just to its left is K.)
So you need a different "mantra" for each combination.
KK. (front) knit, purl; (back) purl, knit
PK. (front) knit, knit; (back) knit, purl
PP. (front) purl, knit; (back) knit, purl
KP. (front) purl, purl; (back) purl, knit
Amy explains in her post why in a couple of spots these aren't what you might predict based on analyzing the pattern. And she's right: I tried it both ways too, and her way does come out better.