Why don’t you have a Facebook page? that would be neat!

Actually not.

The real reason is that many students do not want others to know they are taking lessons.

Although groups in Facebook could be configured as private, there are some ways someone, who is not a member of a group, could view the members of that group. In summary: In Facebook, membership is not private. That is an important break-dealer because a university member, an employer, a friend or a family member can lookup and see the groups students are following.