Most managers have probably heard the phrase “praise in public; criticize in private.” It simply means that when you have something positive to say about a team member, make sure others are aware of the praise, but if you are issuing a correction or reprimand, handle it one-on-one.
It’s a long-standing mantra in management circles. Some say the tactic dates back as early as 35 BC and has been embraced by people like Catherine the Great and Vince Lombardi.