schooling vs pedagogy

schooling and pedagogy both are nouns.

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

As nouns, pedagogy is a hypernym of schooling; that is, pedagogy is a word with a broader meaning than schooling:

Other hypernyms of schooling include instruction, teaching.

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