pedagogue vs academic

pedagogue and academic both are nouns.

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

As nouns, academic is a hyponym of pedagogue; that is, academic is a word with a more specific, narrower meaning than pedagogue:

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

pedagogue (adjective)	academic (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