What is dancing with horses? How do you dance with a horse?

Wikipedia describes dance as "generally refers to human movement either used as a form of expression or presented in a social, spiritual or performance setting.

Dance is also used to describe methods of non-verbal communication between humans or animals (mating dance), motion in inanimate objects (the leaves danced in the wind), and certain musical forms and genres."

My goal with my horse is to become the choreographer of our dance.