tutorship vs pedagogy

tutorship and pedagogy both are nouns.

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

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

tutorship: teaching pupils individually (usually by a tutor hired privately)
pedagogy: the profession of a teacher

Other hypernyms of tutorship include instruction, teaching.

tutorship (noun)	pedagogy (noun)
teaching pupils individually (usually by a tutor hired privately)	the profession of a teacher
	the activities of educating or instructing; activities that impart knowledge or skill
	the principles and methods of instruction