pedagog vs schoolmaster

pedagog and schoolmaster both are nouns.

Word	Noun	Adjective	Verb	Adverb
pedagog	Yes	No	No	No
schoolmaster	Yes	No	No	No

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

pedagog (noun)	schoolmaster (noun)
someone who educates young people	food fish of warm Caribbean and Atlantic waters
	presiding officer of a school
	any person (or institution) who acts as an educator