dance vs social dancing

dance and social dancing both are nouns.

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

As nouns, social dancing is a hyponym of dance; that is, social dancing is a word with a more specific, narrower meaning than dance:

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

dance (verb)	social dancing (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