higher education vs didactics

higher education and didactics both are nouns.

Word	Noun	Adjective	Verb	Adverb
higher education	Yes	No	No	No
didactics	Yes	No	No	No

As nouns, didactics is a hypernym of higher education; that is, didactics is a word with a broader meaning than higher education:

higher education: education provided by a college or university
didactics: the activities of educating or instructing; activities that impart knowledge or skill

Other hypernyms of higher education include education, educational activity, instruction, pedagogy, teaching.

higher education (noun)	didactics (noun)
education provided by a college or university	the activities of educating or instructing; activities that impart knowledge or skill