It is proper Netiquette to use a handle for school activities online. Do use a username.
Use a user name that is different from your real name because cyber stalkers look for personal information to identify victims.
There is no reason to share the name of students with those they interact with online for educational purposes. The acquisition of knowledge does not require a name. Online it only requires a user id.
Keep your full name private because it protects safety and the network.