Use a 10-inch, well seasoned skillet for this recipe. Place the skillet in your cold oven, and preheat the oven and skillet to 450 degrees.
Meanwhile, beat the eggs in a large bowl in a stand mixer, or with an electric mixer, for about 5 minutes. The eggs will begin to thicken and will be foamy. Stir in the milk and vanilla extract.
In a small bowl, whisk together the flour, salt, and sugar. Whisk the flour mixture into the egg mixture until you've got a smooth, thin batter. It will have lots of bubbles on top as well.
Once your oven is preheated, carefully pull your skillet out. Put the butter cubes into the pan- they should melt very quickly in the hot pan. Once the butter is melted, work quickly to pour the batter into your skillet, and immediately put the skillet back into the oven.
Bake for 18-20 minutes. The edges should become very tall and will be a deep golden brown. In the center, you should see some big bubbles puff up and become golden as well. These will fall as the dutch baby cools.
Slice and serve while warm. Enjoy!