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In a large bowl, stir yeast into water to soften. Add salt and 2 cups flour. Beat vigorously for two minutes.
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Gradually add flour, ¼ cup at a time, until the dough begins to pull away from the side of the bowl.
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Turn dough out onto a floured work surface. Knead, adding flour a little at a time, until you have a smooth, elastic dough.
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Put dough into an oiled bowl. Turn to coat the entire ball of dough with oil. Cover with a tightly woven towel and let rise until doubled, about one hour.
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Turn dough out onto a lightly oiled work surface. Divide into 20 equal pieces. Shape each piece into a ball. Cover with a tightly woven towel and let rest on work surface for 10 minutes.
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With a rolling pin, roll each ball into a 6-inch circle. Place the circle on 6-inch squares of buttered parchment paper (parchment paper makes getting the breads from the rising surface to the oven easier).
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Cover dough with a tightly woven towel and let rise 30 minutes.
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About 10 minutes before baking, preheat the oven to 500 degrees. If you have a baking stone, preheat 30 minutes before baking.
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Pita bread is best baked on a preheated baking stone placed on the lowest shelf in the oven. If you do not have a stone, preheat a heavy-duty, non-stick baking sheet in the oven for 5 minutes. The floor of the oven can be used, but is an awkward place to work and may result in burns either to you or the bread.
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Lift dough rounds by parchment paper and flip over onto the stone or baking sheet. Peel off paper. Place 4 or 5 rounds of dough in the oven at a time. Bake 5 minutes. They should be puffy, pale in color, and flexible.
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Immediately remove from the oven and wrap in a towel to cool. Press the air out of the pita while it is still warm.