Note that according to Scrum-in-theory the managers shouldn't even be at the daily standup. The entire purpose is coordination between the developers. You say "I am working on X" so that people who know or do something relevant to X are reminded to tell you about it (after the standup). Also, once in a while two people accidentally start working on the same thing (maybe the first one forgets to assign the ticket to themselves), and at the standup this becomes obvious.

However, Scrum-in-practice is usually something quite different.