stage dancing vs dance

stage dancing and dance both are nouns.

Word	Noun	Adjective	Verb	Adverb
stage dancing	Yes	No	No	No
dance	Yes	No	Yes	No

As nouns, dance is a hypernym of stage dancing; that is, dance is a word with a broader meaning than stage dancing:

Other hypernyms of stage dancing include dancing, saltation, terpsichore.

stage dancing (noun)	dance (noun)
a show involving artistic dancing	taking a series of rhythmical steps (and movements) in time to music
	an artistic form of nonverbal communication
	a party for social dancing
	a party of people assembled for dancing

stage dancing (verb)	dance (verb)
	move in a pattern; usually to musical accompaniment; do or perform a dance
	move in a graceful and rhythmical way
	skip, leap, or move up and down or sideways