In a medium pot over medium heat, bring all the ingredients to a boil. Reduce the heat and simmer for 15 minutes, stirring occasionally. Remove cinnamon stick and let cool.
When cool, blend mixture until smooth. Pour into a shallow glass dish and put in the freezer. Every 30 minutes, scrape the mixture with a fork. Repeat until the fruit puree is completely frozen. Serve with an ice cream scoop.