Messages shold contain the course name when possible

My users, mainly the teachers, complain that they get messages from students they don't even know which courses they are in.
Suggestion to make that better for the users:
When a message is sent from the participants list in a course, either by selecting recipients and sending the message directly from the participants list OR by clicking a participants name and sending the message from the participants profile page, the course name should be added to the message.