Prepare the tamale cakes by chopping 1 cup of the frozen corn in a food processor until it's coarsely pureed. Combine pureed corn with softened butter, sugar, and salt. Blend well.
Add masa and flour and blend well. Mix in the remaining 1/2 cup of frozen corn kernels by hand.
Measure 1/2 cup portions of the mixture and form it into 3" wide patties with your hands. Arrange the patties on a baking sheet and bake for 25 to 30 minutes or until the cakes are browned on the bottom.
Carefully flip all cakes with a spatula and bake for an additional 5 to 7 minutes or until other side is browned.