MethodTrim bottom ends of artichoke stems and pull off and discard tough outer leaves until you get to very light green ones. Trim off and discard the top 1/2 inch of the artichokes and cut artichokes in half lengthwise. Bring to a boil and cook 1 minute, then add 3/4 cup water and lemon juice; cover skillet and adjust heat so artichokes simmer. Cook until outer leaves of artichokes are very tender, about 20 minutes. Transfer artichokes and pan juices to a platter.