Heat oven to 400 degrees. Lightly butter an 8x8-inch baking dish or cast-iron skillet.
In a large bowl, whisk together cornmeal, flour, sugar, baking powder and salt.
In a separate bowl, whisk together milk, eggs and melted butter.
Pour the wet ingredients into the dry, and stir just until combined. Do not over mix. The batter should be slightly thick.
Pour the batter into the prepared dish, and smooth the top. Bake for 20-25 minutes, or until the top is golden and a toothpick inserted in the center comes out clean.
Let cool slightly, then cut into squares. Serve warm, either plain or with a pat of butter.