Place vegetables in a large (12-inch) skillet (Brussels sprouts cut side down) with 1 tablespoon of oil, 1/4 cup of water, and a sprinkling of salt and pepper. Cover skillet, turn burner to high, and heat until vegetables start to steam. With skillet still covered, cook until all of the liquid has evaporated and vegetables start to sauté, about 5 minutes. Remove lid and continue to cook until vegetables turn golden brown, a few minutes longer.