Peeling a Hard Boiled Egg

I hate when I peel a hard boiled egg and the shell comes off in a ton of little pieces.
After taking some hints and experimenting with them a bit I have found an easy way to do this.
For me, a hard boiled egg has boiled 15 minutes and then is rinsed in cold water to cool enough to hold.
Roll the egg and make it crack all the way around the center. You'll know if its cracked by the feel. It'll be "soft" as you go around.
Gentle push at the crack line with your thumb and push it toward which ever hand you are using. It "should" come completely off that end. Then do the other side. If perfect, it will come off in two sections. At worst, the one section will hang on to the other a bit and it will come off in one piece that sort of moves around the egg. The great thing is, it comes off with easy and NOT a ton of small pieces.