You may bake or steam the potatoes whole before mashing them, or boil them in pieces as suggested here. Wash and peel the potatoes and cut into quarters. Set in a saucepan with lightly salted water to cover (1-1/2 teaspoons salt per quart of water). Bring to the boil, cover loosely, and boil 10 to 15 minutes or longer, until potatoes are tender when pierced with a knife. Cut a piece in half and eat a bit to be sure they are just done; undercooked potatoes will not mash properly. Drain the water out of the pan (you may wish to save it for soup making); toss the potatoes over moderate heat for a moment, until they begin to film the pan; this is to evaporate excess moisture.
Mashing.
While still warm, either put the potatoes through a ricer (my preference) and return to the pan, or place in the large bowl of your electric mixer and, using the wire whip attachment and moderate speed; purée them with 1/4 cup of the milk and/or cream.
Mashing note: Home-style mashed potatoes are becoming trendy in bistro-type restaurants at this writing, and they're careful to leave in some lumps so we'll presume they're not instant mashed - or perhaps they use instant plus one or two lumpily mashed fresh potatoes. Hmm!
Seasoning.
Beat in driblets of hot milk and/or cream, alternating with 1/2 tablespoons of butter - careful not to make them too soft. Season with salt and pepper to taste. The sooner you can serve them, the better.