Large taro roots such as these should be peeled before cooking, and can generally be used as you would potatoes. They can be baked, steamed, simmered in milk and mashed, or sliced thin and deep fried to make taro chips (taro chips recipe). They will caramelize more than potatoes during the frying process, so expect them to be darker when done.
Because taro corms are consumed all over the world and have such a mellow flavor, they are paired with a wide variety of other ingredients, including cumin, vinegar, black pepper, milk, dashi, coconut milk, ginger, spicy chiles, garlic, mustard, soy sauce, tamarind, shallots, mirin (sweet rice wine), lemon or lemon juice, capers, green olives, lentils, pork, beef, and seafood.
Apart from its savory applications, taro starch is also used in desserts and beverages, such as Taiwanese boba tea (aka bubble tea).