Form the Pita Dough: Mix the water and yeast together, and let sit for about five minutes until the yeast is dissolved. Add 2 1/2 cups of the flour (saving the last half cup for kneading), salt, and olive oil (if using). Stir until a shaggy dough is formed.

Knead the Dough: Sprinkle a little of the extra flour onto your clean work surface and turn out the dough. Knead the dough for about 5-7 minutes, until the dough is smooth and elastic. Add more flour as needed to keep the dough from sticking to your hands or the work surface, but try to be sparing. It's better to use too little flour than too much. If you get tired, stop and let the dough rest for a few minutes before finishing kneading.

Let the Dough Rise: Clean the bowl you used to mix the dough and film it with a little olive oil. Set the dough in the bowl and turn it until it's coated with oil. Cover with a clean dishcloth or plastic wrap and let the dough rise until it's doubled in bulk, 1-2 hours.

At this point, you can refrigerate the pita dough until it is needed. You can also bake one or two pitas at a time, saving the rest of the dough in the fridge. The dough will keep refrigerated for about a week.

Divide the Pitas: Gently deflate the dough and turn it out onto a lightly floured work surface. Divide the dough into 8 equal pieces and gently flatten each piece into a thick disk. Sprinkle the pieces with a little more flour and then cover them with a kitchen towel or plastic wrap wrap until you're ready to bake them.

Shape the Pitas: Using a floured rolling pin, roll one of the pieces into a circle 8-9 inches wide and about a quarter inch thick. Lift and turn the dough frequently as you roll to make sure the dough isn't sticking to your counter. Sprinkle with a little extra flour if its starting to stick. If the dough starts to spring back, set it aside to rest for a few minutes, then continue rolling. Repeat with the other pieces of dough.

To Bake Pitas in the Oven: While shaping the pitas, heat the oven to 450°. If you have a baking stone, put it in the oven to heat. If you don't have a baking stone, place a large baking sheet on the middle rack to heat.

Place the rolled-out pitas directly on the baking stone or baking sheets (as many as will fit), and bake for about 3 minutes.

To Bake Pitas on the Stovetop: Warm a cast iron skillet over medium-high heat until a few bead of water sizzle immediately on contact. Drizzle a little oil in the pan and wipe off the excess.
Lay a rolled-out pita on the skillet and bake for 30 seconds, until you see bubbles starting to form. Flip and cook for 1-2 minutes on the other side, until large toasted spots appear on the underside. Flip again and cook another 1-2 minutes to toast the other side.

Storing the Pitas: Pitas are best when eaten immediately after cooking. Leftover pitas will keep in an airtight bag for several days and can be eaten as they are or warmed in a toaster oven. Baked pitas can also be frozen with wax paper between the layers for up to three months.