For all you fans of Cook's Illustrated and America's Test Kitchen, here are their instructions. I think it's almost exactly like the first poster, but I have added Cook's advice on peeling.
FOOLPROOF BOILED EGGS
You may double or triple this recipe as long as you use a pot large enough to hold the eggs in a single layer, covered by an inch of water.
Ingredients = 6 large eggs
Place eggs in medium saucepan, cover with 1 inch of water, and bring to boil over high heat. Remove pan from heat, cover, and let sit for 10 minutes. Meanwhile, fill a medium bowl with 1 quart water and 1 tray of ice cubes (or equivalent). Transfer eggs to ice water bath with slotted spoon; let sit 5 minutes. Peel and use as desired.
FOOLPROOF PEELING
1. Tap the egg all over against the counter surface, then roll it gently back and forth a few times on the counter.
2. Begin peeling from the air pocket end. The shell should come off in spiral strips attached to the thin membrane.