woodworking vs woodwork

woodworking and woodwork both are nouns.

Word	Noun	Adjective	Verb	Adverb
woodworking	Yes	No	No	No
woodwork	Yes	No	No	No

As nouns, woodworking and woodwork are synonyms defined as:

woodworking and woodwork: the craft of a carpenter: making things out of wood

Other synonyms of woodworking include carpentry.

woodworking (noun)	woodwork (noun)
the craft of a carpenter: making things out of wood	the craft of a carpenter: making things out of wood
	work made of wood; especially moldings or stairways or furniture