Preheat oven to 450. Generously grease a large shallow baking dish; set aside. Peel potatoes to a uniform size. Starting at one end, cut 1/4 inch slices without cutting all the way through to the bottom(slices will fan out slightly). Place potatoes in baking dish, cut-edge up. Sprinkle with salt and pepper to taste. Dot with butter. Bake for 20 minutes, basting occasionally with butter from bottom of dish. Meanwhile, in a small bowl, mix parmesan cheese and bread crumbs. Remove the potatoes from oven. Sprinkle cheese-bread crumb mixture between potato slices and over top. Bake 25-30 minutes longer without basting, or until golden brown and tender. Sprinkle with paprika. Serves 6.