Wash the apples under cold water to remove any dirt or debris. Place the apple on a cutting board and use a sharp vegetable peeler to remove the skin from the apple. Start at the top of the apple and work your way down to the bottom, rotating the apple as you go. Once the apple is peeled, place it on the cutting board and slice it in half from top to bottom. Use a sharp paring knife to remove the core from each half of the apple. You can do this by making a circular cut around the core and then removing it with a twisting motion. Place each apple half flat side down on the cutting board and slice or chop as desired. You can also use an apple corer to speed up the process.