Preheat the oven to 350°F degrees. Line a muffin pan with paper/silicone liners or spray with non-stick cooking spray. 

In a large bowl, whisk together the cornmeal, flour, baking powder, sugar and salt.

In a separate bowl, break up the eggs with a whisk. Whisk in the honey and then the milk. Add the milk mixture and melted butter to the dry ingredients. Stir until just blended then add cheese. Do not overmix; it's okay if there are a few lumps. 

Spoon batter evenly into the prepared muffin pan, filling each cup almost full. Add a sliced jalapeño onto if desired. Bake for 17-20 minutes, or until the tops are set and golden. Cool the muffins for a few minutes in the pan, then serve warm.