Contemporary digital technology permits the construction of visual narratives, using PowerPoint, Prezi, or other software, that can serve as a point of departure for verbal lectures and discussions. Visual language is more basic to our nature (in evolutionary terms, at the very least) than verbal language, and when used effectively it can increase attention, motivation, and retention of concepts and information. I'm thinking mostly about still images, but when animation, videos, and music or other sounds are added to the mix, the classroom experience can be enhanced in many ways. Of course, all of this can be done without computers (I used to use slides and video or audio cassettes the same way); it just takes a lot more time and effort to put the show together.
As an animator, visual artist and lecturer, i can give you my perspective within the field of creative learning and visual arts.
In the first and second links, I explain how we use animation in our classroom. The approach to raise the level or pick some techniques depend on what you want to teach, the class itself (its spirit) and the visual skills of the teacher.
How you relate it is just as important as what you are relating. If you are trying to take small children on a deep quest for spiritual meaning using the end of life works and accomplishments of the greatest philosophers and ascetics the world has ever known, you are headed for disappointment. Likewise, if you are reading baby books to a room full of postdocs, you are going to lose them rather quickly. Knowing your audience and making your story relatable, not just in vocabulary level but life experience level as well is significantly important to what they take away. Newspapers in America are written at a 4th grade reading level, but they manage to convey the message of their story in terms a general audience can understand.
To me the essence of storytelling is communicating a message that is an experience you want to share with your audience in a way that they can understand and meaningfully profit from. Not in a financial sense, but in the sense of improving themselves by continuing to think about your words long after they have left your classroom. Draw on your wisdom and experience to fill in details, but also engage them. They must be able to identify with what you are saying; it must have a frame of reference that they can understand and value.
For me the essence of storytelling is all about meaning-making. We tell stories to make sense of life, the world and our place in it.
We read stories because we want to find out how others have made sense of their worlds, found meaning in their experiences (or not). And we write them to find meaning for ourselves firstly, and then to share our perspective with others.