Oooohhh...mittens without thumbs are really easy. I used the basic pattern from the book, Knitter's Handy Book of Patterns. I put a link below.
Basically, I followed the pattern and just left out the thumb gussett, so it's just ribbing for the cuff, knitting in the round for a few inches and decreasing. Then I made a 2 stitch I-cord for a string to attach to the mittens, so when they come off, they don't get lost. We always called it an "idiot string", but I'm not sure that's politically correct.