Parmesan rinds add richness and depth to your soups and stews. Simply add the rinds to the preparation when it's ready to be simmered and remove whatever's left of them just before serving. Or if they've softened enough during the process, you can chop them into smaller pieces and serve as a garnish. Not only will they impart a deliciously cheesy flavor, but they also help to thicken up your soups and saucy stews.