I always do mine this way and rarely have a egg that is hard to peel. I put the eggs in a pan, cover with cold water, bring to a boil and boil for 10 minutes. Immediately, drain the boiling water, and run ice cold water over the eggs, dump pan when full and do it again 2 or 3 more times, making sure the flow of water hit ever single egg separately. Then leaving the last of the water in the pan, crack each egg against counter around all sides, and then start peeling. Usually the shell comes off in a few long attached pieces. Then I drop the peeled egg back into the water and do the same with the next.
I think the trick is to take extremely hot eggs and drench them in icy cold water to get the inner skin to stick to the shell instead of the egg. Peel while the shell is still wet too, because I have found that if you try to peel a dry egg, it is going to be hard to get the shell of in a few pieces without the egg sticking to the shell.