I don't use the word "unschooling" except when I'm talking to homeschoolers.
When I'm talking to relatives or people at the grocery store or whatever, I say "We homeschool." Or more often, "Our kids don't go to school."
IF they seem interested, or if they make one of those canned-conversation responses like "Oh, that must be a lot of work," or "Oh, I could never to that," I just smile and say "It's fun. We mostly just have a lot of fun." or "We don't use a curriculum, we just learn from everything around us."
So within the inside of the inside of discussions with homeschoolers, I'm definitely an unschooler, but there's no advantage I've found in using that term with people who only want a one-minute "hi, how are ya? cute kid" conversation.
photo by Roya Dedeaux