Preheat the oven to 350 degrees. In a medium bowl, stir together the flour, cornmeal, cardamom, and salt.
In a separate bowl beat together the room temperature butter and sugar until the mixture is light and fluffy. Add the vanilla and egg and beat again until smooth. A mixer works best for this, but you can do it by hand with a LOT of elbow grease.
Slowly add the flour mixture into the butter, sugar, and eggs while beating until it is all incorporated.
Spoon the batter onto a baking sheet covered with parchment paper (each mound should be about 2 Tbsp in volume). Use your fingers to shape the mounds into rough circles. Bake the cookies in the preheated oven for 15 minutes, or until the edges start to brown slightly. Enjoy!