Step 1

If your broiler is on top of your oven, position a rack about 6 inches away from the element. Preheat the broiler to HIGH.

Step 2

Cut the oranges in half crosswise, then cut a small slice off the bottom of each so it sits flat on a cutting board. As you would a half-grapefruit, cut a circle around the flesh of each orange half, separating it from the rind, and then cut around each orange segment to loosen it from the membrane. Set the oranges on a large sheet pan.

Step 3

In a small bowl, whisk together the honey with cardamom. Evenly drizzle the orange halves with the honey mixture, spreading it on top of each with the back of a spoon.

Step 4

Transfer the oranges to the oven and broil for 4 to 6 minutes, or until the oranges are warm and the tops are bubbling and nicely browned in spots.

Step 5

Let the oranges cool slightly, then top each half with a small scoop of ice cream (a heaping 1 tablespoon), garnish with a light sprinkle of ground cardamom and the mint leaves, and serve.