A dance was a type of body movement done to music. An individual who did this professionally was called a dancer.
Jamie McCrimmon performed the Highland Fling for a group of dancers on a human colony. Later, he, the Second Doctor, Ben Jackson and Polly Wright performed the dance as a way to escape the grateful colonists. (TV: The Macra Terror)
While visiting 1925 Oxfordshire, Tegan Jovanka danced the Charleston at Cranleigh Hall. (TV: Black Orchid)
Becky taught the Sixth Doctor the waltz and the foxtrot. (PROSE: Teach Yourself Ballroom Dancing)
The Sixth Doctor mentioned having once danced a cotillion with Jane Austen. (AUDIO: The Behemoth)
The Eleventh Doctor invented the drunk giraffe. He performed it first at the wedding of Amy Pond and Rory Williams. (TV: The Big Bang) He later taught the dance to the children of the town of Christmas during the centuries he spent protecting the settlement on Trenzalore. (TV: The Time of the Doctor)
In June 1816, Mary Shelley and her friends taught the Thirteenth Doctor and her companions quadrille when they visited Villa Diodati. (TV: The Haunting of Villa Diodati)