Preheat the oven to 350 degrees F (180 degrees C).
Peel and chop the apples into small pieces. I like to chop them up very well so that they cook quickly and evenly in the pan.
Melt the butter in a pan on medium low heat and add in the apples and cinnamon.
Mix the apples to coat and reduce the heat to low. Cover the pan and let the apples cook for about 10 minutes (stirring occasionally). If your apple mixture seems dry, add in a little more melted butter.
Once the apples are softened and cooked, set them aside to cool.
Once the apples are softened and cooked, set them aside to cool.
Unroll the pie crust on a floured surface and use a cookie cutter (about 2-2.5 inches in diameter) to cut out 10-12 circles. You will have to combine the scraps and re-roll the dough out in order to get more circles. Place these circles on a parchment lined pan.
Place about 1 tablespoon of apples into the center of each circle and fold over the crust. Press down on the sides and use a fork to seal the sides closed.
Whisk together 1 egg and 1 tablespoon of water for the egg wash and brush this mixture on top of each pie.
Bake the pies for 15 minutes, or until golden brown.