From The Modern Family Cookbook

Soft-Cooked Eggs
Always cook eggs in a glass or enamelware pan; cooking eggs in an aluminum pan always turns it black. Add enough water to the eggs to come ½-inch above them. Place over high heat and bring water rapidly to the boiling point. The instant boiling starts, cover, and remove from heat and let stand from 2 to 4 minutes, depending on individual preference. Time exactly. Then lift eggs out immediately and hold under running cold water or dip quickly in cold water for comfortable handling. Serve at once in shell, or broken and spooned into egg cups.
Prepare eggs for babies or young children by placing in boiling water, then remove to back of stove, cover and let stand from 6 to 8 minutes. If eggs are removed from refrigerator ½ hour before cooking, there will be little danger of cracking when they are put into the hot water.