Cut the broccoli crown into bite sized pieces
Heat up your olive oil and butter in a heavy skillet, then add minced garlic and stir fry on med heat for 1 minute
Add your anchovy fillets, with some of the oil that the fillets were packed in. Stir fry for 2 minutes, or until the anchovies have "melted"
Add red chili flakes (or a couple of your favorite minced chilies), stir, and keep warm on a very low setting
Boil pasta water in a large pot, and prepare your orecchiette according to package directions. PLEASE NOTE: You will need to reserve approximately 1 cup of the pasta water, collected at or near the end of the time when the pasta is finished cooking
3-4 minutes before your pasta is finished cooking, add the broccoli pieces into the boiling pasta water
When the pasta is finished cooking, drain the broccoli and the pasta. REMEMBER: You will need to reserve 1 cup of the pasta water just prior to draining the broccoli and pasta
Add the cooked broccoli and orecchiette to your anchovy, garlic, red pepper (or chilies), and olive oil mixture, and stir
Start adding the reserved pasta water a little at a time and continue stirring. This helps make a smooth sauce and prevents the pasta from sticking!
Add salt and pepper to taste