Homemade pita bread

I love pita bread with almost every dish and always try to have it fresh at my house but sadly I noticed it doesn't taste the same on the second or third day.  I knew that it wasn't that hard to bake but never really tried making it.  I found this recipe on Martha Stewart's website and it seems very good.

• YieldMakes 8 pitas

Ingredients

• 1 1/4 cups warm water (100 degrees to 110 degrees)
• 1 teaspoon active dry yeast
• 3 cups all-purpose flour, plus more for dusting
• 1 tablespoon salt
• 1 1/2 teaspoons olive oil, plus more for bowl

Directions

1. Pour water into the bowl of an electric mixer. Sprinkle yeast over water, and stir to dissolve. Use the paddle attachment to mix in 1 1/2 cups flour. Cover bowl; let sit in a warm place for about 1 1/2 hours, until dough has doubled in bulk.
2. Sprinkle salt over flour and yeast mixture, and add olive oil and remaining 1 1/2 cups flour. Mix on medium-low speed until dough is smooth and elastic, about 5 minutes.
3. Transfer dough to a floured work surface, and knead about 10 turns, forming a ball. Place in a lightly oiled bowl, and cover with plastic wrap. Let rise in a warm place until dough has doubled in bulk, about 1 1/4 hours.
4. Heat oven to 450 degrees. Turn dough out onto a board, and cut in half. Cut each half into four pieces, and form each piece into a ball. Cover them loosely with a piece of plastic wrap to keep the dough from drying out. On a floured work surface, roll two balls into circles 7 inches in diameter and slightly less than 1/4 inch thick. Bake on an ungreased baking sheet until puffed and light brown, 6 to 8 minutes. Repeat, baking two pita breads at a time.