What does tutor mean in Latin?

There isn't one single perfect Latin word that translates to "tutor" in the modern sense of a private teacher. The meaning depends on the context. Several words could be used, depending on the age of the student and the nature of the instruction:

* Praeceptor: This is probably the closest single word. It means "instructor," "teacher," or "preceptor" and often implied a more formal, authoritative role than a modern tutor.

* Magister: This means "master" or "teacher" and could be used for a tutor, especially for older students or in a more formal setting.

* Docens: This means "one who teaches" and is a more general term.

* Instructor: While not a classical Latin word, it's easily understood by Latin speakers and fits the meaning.

Therefore, the best translation would depend on the specific nuance you want to convey. If you need a precise translation, more context is needed.