That's an excellent question. ) In the case of "teacher", the preceding word is the name of the subject that is taught. teaches science > a science teacher teaches English > an English teacher teaches carpentry > a carpentry teacher But in the case of "literature", I don't see a way that "literature" can be used as a verb (as the noun teacher gives us the verb teach ).
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That's an excellent question.
(When we say that it's an excellent question, it means we don't think it has any answer — or at least not any good and easy answer that we know of.)
In the case of "teacher", the preceding word is the name of the subject that is taught.
teaches science > a science teacher
teaches English > an English teacher
teaches