A simple applesauce recipe calls for three large or four medium apples, 1 cup of apple juice or water, 1/4 cup of brown sugar and 1/2 teaspoon of cinnamon. Peel and core the apples, and cut them into slices. Combine the apples and other ingredients in a large saucepan, and stir everything together. Cook the mixture over medium heat, stirring occasionally, until the apples fall apart into soft chunks. Let it cool slightly before serving.
Using 1/4 cup of sugar makes the applesauce pleasingly sweet for children. To give the sauce a pink tint, add some strawberry puree. When cooking for the rare kids who love spice, stir some red hot candies into the applesauce during the last few minutes of cooking. Stir until the candies dissolve.
It's also possible to make a quick, heat-free applesauce. Combine the apples and apple juice or water in the food processor or blender. Blend them together until the mixture is smooth, and then stir in the sugar and cinnamon. This version lacks the depth of flavor that cooked applesauce has, but it makes a quick after-school snack for kids.
Serve applesauce with graham crackers, spoon it over pancakes, or substitute it for half the oil in a favorite cake recipe.