pedagogy vs schooling

pedagogy and schooling both are nouns.

Word	Noun	Adjective	Verb	Adverb
pedagogy	Yes	No	No	No
schooling	Yes	No	No	No

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

pedagogy (noun)	schooling (noun)
the profession of a teacher	the act of teaching at school
the activities of educating or instructing; activities that impart knowledge or skill	the training of an animal (especially the training of a horse for dressage)
the principles and methods of instruction	the process of being formally educated at a school