When your stockinette is inside out in the round, it's only because you're knitting with the wrong two needles. You're using the needles farthest away from you rather than the needles closest to you.
So you're still knitting every round the way your normally would, just on the inside of the tube rather than the outside.
"Trust the pattern!"
Time flies like an arrow, but fruit flies like a banana.
Hop aboard while we follow the cloud-covered van of knitting harmony, man!! Woooo!! --Hedgehog
IngridKH on Ravelry