academic vs pedagogue

academic and pedagogue both are nouns.

Word	Noun	Adjective	Verb	Adverb
academic	Yes	Yes	No	No
pedagogue	Yes	No	No	No

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

Other hypernyms of academic include educator, pedagog.

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

academic (adjective)	pedagogue (adjective)
associated with academia or an academy
marked by a narrow focus on or display of learning especially its trivial aspects
hypothetical or theoretical and not expected to produce an immediate or practical result