Place a pizza stone in the oven and preheat oven to 500 degrees F. Heat the stone for at least 30 minutes, if not 60 minutes.
In a medium bowl, sift together the flour, salt, and baking powder.
Add the yogurt to the flour and mix well until mixture becomes a ball of soft dough.
Pour a small amount of olive oil over the ball of dough and roll the dough in the oil to coat all sides.
Divide dough into 2 pieces for two 10-inch pizzas. Press dough out onto a piece of parchment paper. If dough sticks to your hands, add a little olive oil to your hands and distribute across surface of dough to prevent sticking. Alternatively, place plastic wrap over the dough and roll it with a rolling pin. Brush dough with olive oil.
Using a pizza peel, slide the parchment with the dough onto the baking stone and bake until crust is beginning to brown, about 5 to 7 minutes.
Slide pizza peel under parchment to remove crust from pizza stone. Transfer to a heat resistant surface. Top pizza as desired and transfer pizza and parchment back onto the pizza stone in the oven to cook until cheese melts and toppings are heated through, about 5 to 7 minutes.
Remove pizza on parchment from oven with a pizza peel and transfer pizza from the parchment onto a cutting board. Discard parchment paper. Cut pizza and serve.