For the most part, storytelling is the act of writing, speaking, or physically reenacting a story to an audience. This audience could be very few, or it could be many.
What I've learned in the Radio Arts and Entertainment program though is that the act of telling stories goes much deeper than that. It is also about relating to your audience, forming a one to one connection. Being personable so others not only listen to you when you speak, but enjoy it as well.