Each team has a Floor Manager with a clipboard and a Daily Team Report form. Only the teacher can give a warning, but when that happens the Floor Manager writes it down. Any warning I give is in an informational tone of voice, rather than a scolding voice. Students quickly learn that I am willing to listen after class, and that further protest could earn another warning. Thus movement is controlled by giving the power to the team.
Teams clap after each person is named.
Often I give bonus points to the team that claps loudest. If the winners bring the LT Awards to me to sign, they can turn them in later for extra credit points on any daily assignment. The fact that the award is coming from a peer gives it a validity that it would not have coming from the teacher. Thus a total of six students are being recognized publicly, every day in every class. It's built into the system.