faculty member vs pedagogue

faculty member and pedagogue both are nouns.

Word	Noun	Adjective	Verb	Adverb
faculty member	Yes	No	No	No
pedagogue	Yes	No	No	No

As nouns, pedagogue is a hypernym of faculty member; that is, pedagogue is a word with a broader meaning than faculty member:

Other hypernyms of faculty member include educator, pedagog.

faculty member (noun)	pedagogue (noun)
an educator who works at a college or university	someone who educates young people