Salt to taste Freshly ground black pepper (From "The New Basics Cookbook) by Julee Rosso and Shiela Lukins. Workman.) Fill the mixing bowl with the cold water and squeeze the lemon juice into it. Drop the lemon half into the water as well. Set the bowl aside. Using a sharp knife, trim off and discard the top 1 cm of each artichoke. Dip the cut tops into the acidulated water (to keep them from turning brown). Pull the outer leaves off the artichokes, leaving a core of tender green leaves. Gently pry open the artichokes; using a small melon baller, scoop out and discard the chokes. Cut the artichokes vertically into three or four slices, dropping them into the acidulated water as you work. Bring a large saucepan of salted water to a boil. Drain the artichokes, and add them to the pan. Simmer for 10 minutes. Then drain the artichokes, reserving the cooking liquid and rinse them under cold water. Set them aside. Bring the reserve artichoke cooking liquid to a boil, and add the asparagus. Simmer for 3 minutes; then drain, again reserving the liquid. Rinse the asparagus under cold water, and set it aside. Bring a large pot of fresh water to a boil. Add the orecchlette, and cook at a rolling boil until just tender. Meanwhile, heat the olive oil and 1 tablespoon of the butter in a saucepan. Saute the scallions and garlic for 3 minutes. Then stir in the olives, peas, reserved artichokes and asparagus, remaining 1 tablespoon butter, one third cup of the reserved cooking liquid, and 3 tablespoons of the Parmesan. Stir well, and cook just until heated through, 2 minutes. Stir in 2 tablespoons of the pasta cooking water, and transfer the sauce to a heated serving bowl. Drain the pasta, and toss it in the bowl with the sauce until well coated. Season with salt, pepper and the additional 1 tablespoon grated Parmesan. Serve immediately. Nutritional analysis per serving: 250.3 calories; 10.9 grams total fat; (5.1 grams saturated fat); 7.8 grams protein; 29.5 grams carbohydrates; 20.5 milligrams cholesterol; 177.3 milligrams sodium.