This task consists in creating an (advanced) drawing app for the web using the p5.js (http://p5js.org/) library, where you can play with some ideas to make the drawing animated!

For example, the traces could repeat how they drawn once you release them, or move in some pre-specified or semi-random ways... 

The yellowtail project from Golan Levin could serve as inspiration:

http://www.flong.com/projects/yellowtail/

Think in new ways the user can create a dynamic composition (even a story!) using drawing and animation, there could be many ways to do this...

I wrote some code for this kind of thing a while ago, you can see it here:

https://github.com/andiamo

Also, these videos from an artist friend of mine also shows some artistic possibilities for animated drawings:

https://www.youtube.com/watch?v=9IcbwkoXfTs