Mix the flour, cornmeal, baking powder, and baking soda in a bowl and add salt. Stir to combine.
Return the pan to the oven and cook for about 17 - 20 minutes, depending on the size of your skillets.
The breads are done when they are starting to brown on top and feel firm to the touch.
To serve, first run a knife around the outside of the pan to loosen the edges, then flip the calzone out onto a plate. Top with butter and honey and serve.