Wash the apples, quarter them, peel the quarters, remove the cores, and cut into thin wedges.
In a heavy-bottomed pan, melt 1 tablespoon butter over medium heat with 1 tablespoon brown sugar and a pinch of cinnamon. Add the apple wedges, stir to coat, cover, and cook for 5 minutes until soft, stirring occasionally.
Pour 3 cl calvados over the hot apples. Carefully ignite the calvados.
Immediately place the flaming apple slices onto 2 scoops of vanilla or cream ice cream per person and serve.