Food Network teaches how to crush, slice and mince garlic. Peel off some of the papery skin from the garlic and then smash the head of garlic with the heel of your hand to loosen the cloves; if you only need a few cloves, leave the head intact and pull some off. Separate the cloves. To peel a clove, cut away the root end with your knife. Lay the flat side of the knife over the clove while holding the knife handle, then with the heel of your free hand carefully whack the knife against the garlic to separate the skin from the clove. To crush the peeled garlic, lay the flat side of the knife over the clove and smash it again. To slice peeled garlic, lay the clove flat on the cutting board and hold it with the fingertips of one hand, keeping them curled under. Using a rocking motion with the knife, make thin slices by moving the knife slowly across the clove. To mince peeled garlic, lay the flat side of a knife over the clove and smash it. Roughly chop the clove then move your free hand flat across the tip of the knife and use a rocking motion to chop the garlic until it’s finely minced.
Bring a large pot of salted water to a boil over high heat. Add the pasta and cook until tender but still firm to the bite, stirring occasionally, about 8 to 10 minutes. Drain and reserve about 1 cup of the pasta water.
In a 14-inch skillet, heat 1/4 cup oil over medium-high heat. Add the onion and cook, stirring frequently, until soft, about 5 minutes. Add the garlic and cook for 30 seconds until aromatic. Add the tuna to the skillet and, using a fork, break into chunks. Add the cherry tomatoes, artichoke hearts, capers, and thyme. Cook, stirring occasionally, until the tomatoes begin to soften, about 8 to 10 minutes. Add the pasta, the remaining 1/4 cup olive oil, and the parsley. Toss until all the ingredients are coated, adding a little pasta water, if needed, to thin out the sauce. Season with salt and pepper, to taste. Transfer the pasta to a serving bowl and serve warm or at room temperature.