1. Bring a large pot of water to a boil over high heat. Prepare an ice-water bath; set aside. Pierce oranges all over with the tines of a fork. Place in boiling water for 10 seconds. Transfer to ice-water bath and let cool. Return oranges to boiling water for 10 more seconds; transfer to ice-water bath to cool. Repeat boiling and cooling process two more times.

2. Transfer oranges to freezer until firm, about 15 minutes. Using a mandolin, slice 1/8-inch thick and transfer to a wide shallow saucepan along with 3 cups water, cranberries, and honey; bring to a simmer over medium-low heat.

3. Add sugar and pectin and reduce heat to low; cook, stirring, until orange slices are glossy and liquid has reduced to a thickened jamlike consistency. Remove from heat and let cool completely. Jam may be kept in an airtight container, refrigerated, up to 2 days.