You know, if I were a high school student with a film project or a presentation to do, I'd really throw myself into mastering how to do animations like these. It would lead to very good things.
So, there are various approaches. The simplest is to use a real whiteboard and a real marker along with a normal digital camera. You don't get the hand and marker in the picture, though. Here's how:
The third approach does not actually have a whiteboard at all. Either the hand, the marker, the board, and the drawings are all on Photoshop layers and the animation comes from a screen recorder, or a specialized program like Livescribe Desktop gets used.
A variation on that theme is creating the animation on an iPad.
Now, I use computer graphics clumsily. Anything other than simple cropping and rescaling needs a trip to on-line resources. On the other hand, I think that working to reproduce a good storyboard on a whiteboard could achieve a very good set of pictures that are ready to become a stop-motion animation. That's the next problem to solve. This web page shows how to use free programs such as iMovie or Windows Movie Maker to do this. Since I don't have either a Mac nor Windows, I might try typing a few commands into a terminal window to do the job.
Fortunately, the same techniques can be used for more ambitious animations. Check out the sequence with the fruit at around 2:15 in this music video ("Sledgehammer" by Peter Gabriel) and see if it gives you any ideas.