Add in crushed candy cane, reserving some to sprinkle on top.
Pour into ice cream maker and churn according to ice cream maker directions.
Crush the peppermint candy in a food processor or place it in a zippered bag and pound it with a hammer or mallet. I like to crush it until it is about 1/2 powder and 1/2 small pieces of peppermint.
If you want more crunch to your ice cream, process the ice cream about half way and then add the peppermint in, that way less of it will dissolve into the ice cream as it churns and leave more chunks of peppermint.