This post is trying to give details on "if I've decided that taking someone aside for a warning is the right next step, how do I do it?"
There are cases where a warning would be a bad first step: perhaps you've only heard a report from one person, or it's not clear what happened, or you think there may be a misunderstanding. Then an opening more like "I saw some of what happened back there, can you help me figure out what was going on?" could be good, with more of a "let's find out" than a "let's change behavior" approach.
The cases that prompted me to write this post, however, were ones where a dancer had been doing a minorly harmful thing for a long time. It was very clear that they were doing the thing, and we had dozens of people who had seen them do it, including several organizers.