In the same pot of boiling water, cook the pasta until al dente. Reserve 1 cup (250 ml) of the cooking water. Drain the pasta and add to the pot of beef. Add 1/2 cup (125 ml) of the cooking water and half the Parmesan mixture. Reheat everything for 1 minute, stirring to coat the pasta in the sauce. Add more cooking water, if desired. Adjust the seasoning. Divide among four plates and garnish with the remaining Parmesan mixture.