In the bowl of an electric mixing stand, combine yeast and warm water. Stir to dissolve, let rest one minute.
Add flour, salt, and olive oil.
Fit the mixer with the kneading attachment, and knead for 8-10 minutes. The dough will become soft and silky. If it is sticky, add a little more flour.
Divide the dough into 4 softball size balls. Place each into a small bowl or on a cookie sheet.
Smooth the top of each dough, and brush with a touch of olive oil.
Cover with a kitchen towel, in a warm place, and let the dough rise for 1-2 hours, it should double in size. If it does not rise at all, your yeast is probably dead :(. You'll need to start over.
Meanwhile, prepare your sauce if making homemade pizza sauce.
After the rise, use floured hands to carefully stretch each pizza dough out to 1/4" thick discs about 10" in diameter. Place the dough onto the cooking surface. I like using Silpat baking mats, but you could use parchment paper too! Now, spread your sauce evenly over the homemade pizza dough, and sprinkle cheese and other desired toppings over, leaving 1/2" crust around the edges.
Preheat oven to 425 degrees F. Bake for 10-15 minutes, or until the crust is a nice golden brown.