What is the best method of hanging drywall on ceiling?
I find that it's best to attach 1x3 furring strips across the joists.  It's worth the extra cost. The 1x3 will give you 1.25 inches of screwing space, so you don't have to be quite as accurate with your cuts.  Glue is not needed, but will reduce screw pops by making the assembly more 'solid'.  I always use adhesive when I can (when there is no vapor barrier or insulation covering the wood).