Preheat the oven to 375˚F. Lightly coat a 12-cup muffin tin with cooking spray or oil.
In a large bowl, combine the cornmeal, flour, baking powder, baking soda and salt.
In a separate bowl or large measuring cup, whisk together the buttermilk, eggs, honey and melted butter. Pour the wet ingredients over the dry ingredients and stir until just incorporated. Fold in the corn, jalapeño and cheddar cheese.
Scoop the batter into the prepared muffin tins, and bake until golden on top and a toothpick inserted in the center comes out clean, 20-22 minutes. Place the pan on a wire rack and let cool 5 minutes, then remove the muffins from the tins (if needed, run a small knife around each to release it from the pan). Serve warm or at room temperature.