pedagogy vs teaching method

pedagogy and teaching method both are nouns.

Word	Noun	Adjective	Verb	Adverb
pedagogy	Yes	No	No	No
teaching method	Yes	No	No	No

As nouns, pedagogy and teaching method are synonyms defined as:

Other synonyms of pedagogy include pedagogics.

pedagogy (noun)	teaching method (noun)
the profession of a teacher	the principles and methods of instruction
the activities of educating or instructing; activities that impart knowledge or skill
the principles and methods of instruction