Step 1: Bring a large pot of salted water to a boil

Step 2: Add the broccoli and cook for about 5 minutes until tender but still vibrant green

Step 3: Transfer the broccoli to a bowl using a slotted spoon and reserve 1/2 cup of the broccoli cooking water

Step 4: In a large skillet, heat the olive oil over medium heat

Step 5: Add the minced garlic and crushed red pepper, sautéing until fragrant but not browned

Step 6: Add the cooked broccoli and reserved cooking water to the skillet

Step 7: Season with salt and black pepper and cook for about 10 minutes, stirring occasionally, until the broccoli is soft enough to mash

Step 8: Use a spoon or potato masher to mash the broccoli into a chunky sauce

Step 9: In the same pot used for the broccoli, add more water if needed and bring it back to a boil

Step 10: Add the pasta and cook according to package instructions until al dente

Step 11: Drain the pasta, reserving a cup of the pasta cooking water

Step 12: Add the drained pasta to the skillet with the broccoli mash

Step 13: Add the Parmesan cheese and toss everything together, adding splashes of reserved pasta water if needed to loosen the sauce

Step 14: Taste and adjust seasoning with additional salt and pepper if necessary

Step 15: Serve immediately, garnished with extra Parmesan cheese