A wand is a stick or rod used for magic in fantasy stories and games. It can also refer to any long, thin object used for pointing or directing something.
In fantasy movies and books, wizards often use wands to cast spells and perform magic tricks. Think of Harry Potter's wand, it's the tool he uses to make amazing things happen. In a more general sense, a wand is just a stick that someone holds on to while they're talking or trying to get attention. If you see a conductor holding a long stick in an orchestra, you could call that a wand too, because they use it to guide the musicians.
A hand-held narrow rod, usually used for pointing or instructing, or as a traditional emblem of authority.
