Yeah, finishing at the stem makes no sense to me too. Finish opposite the stem, but make sure you push the valve in to allow the tire bead to seat properly in that area.
Only use enough pressure in the tube to round it out. Any more and it will just make it difficult for no good reason.
Use the heel of you palms to roll the bead over the rim wall rather than trying to push it over with your thumbs. Just wrapping your hands around the whole rim/tire area, gripping hard, and twisting it over can sometimes work very well.
Last edited by Torchy McFlux; 07-11-10 at 12:02 AM.