Put skillet on the stove over medium heat and when it is hot, add oil.

Add carrot, celery, and onion and cook about 10 minutes, stirring occasionally, until the vegetables begin to brown.

Raise the heat to high. Pinch off tablespoon-sized pieces of the beef and add a few at a time, stirring well between additions. Cook, breaking the meat apart until it is no longer raw, starts to give off liquid, and no longer clumps together.

Add the water, tomatoes, and tomato paste, stirring well. Cook about 10 minutes until the sauce begins to thicken.

Slowly stir in the milk, a little bit at a time. Turn the heat down to low and cook 45 minutes until all the liquid has been absorbed.

Fill a large pot halfway with water. Bring it to a boil over high heat.

Add the pasta and about 12 minutes cook until just tender.

Drain the pasta and divide into 4 bowls.

Top each bowl with about 3/4 cup Bolognese and sprinkle with 1 tablespoon Parmesan cheese.