education vs schooling

education and schooling both are nouns.

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

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

education (noun)	schooling (noun)
the activities of educating or instructing; activities that impart knowledge or skill	the act of teaching at school
the profession of teaching (especially at a school or college or university)	the training of an animal (especially the training of a horse for dressage)
the result of good upbringing (especially knowledge of correct social behavior)	the process of being formally educated at a school
knowledge acquired by learning and instruction
the gradual process of acquiring knowledge