I have found through the course of 25 years of teaching that if I make an error in a response or in my presentation, students are going to catch me any way, so why not own up to it and make light of the fact that I was "just testing" them to see if they are paying attention, which I do quite frequently to "break the ice" or simply lighten the mood of seriousness about dangling participles--they are difficult at best and a lighthearted approach helps relieve student tension.
