Well usually you get to the end of the row and turn the work around to work on the other side. In knitting you move the needle with the stitches to the left hand and the empty needle to the right hand and start again.
However it can also mean short rows which turn in the middle of the work somewhere. I don't think that's what it means in this case since you're knitting a dishcloth.
Also.. include a link to the pattern when you can so we can help you better.