If you make puppets or put on puppet shows — either as a hobby or a paid job — you practice the art of puppetry. If you draw a face on an old sock, put it on your hand, and make it act out dramatic scenes, that's puppetry.
You may think of puppetry as kids' stuff, but people around the world consider it a valid form of theater. Puppetry has existed since at least the fifth century BCE, and it takes many forms. There's Japanese bunraku, in which puppeteers dressed in black maneuver wooden puppets against a black background. Italy is famous for inventing marionettes, highly complex puppets on strings. "The Muppet Show" and "Sesame Street" are also perfect examples of great puppetry in action.