professional vs pedagog

professional and pedagog both are nouns.

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

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

professional (noun)	pedagog (noun)
a person engaged in one of the learned professions	someone who educates young people
an authority qualified to teach apprentices
an athlete who plays for pay

professional (adjective)	pedagog (adjective)
engaged in a profession or engaging in as a profession or means of livelihood
characteristic of or befitting a profession or one engaged in a profession
of or relating to a profession
of or relating to or suitable as a profession
engaged in by members of a profession