We have this one thanks to Zach L:
Mathematics is a very abstract field, but I vouch that it is still a science. Based solely upon logical rules, mathematicians everywhere develop their own theories. It is up to them to determine how correct those theories are through their own research; it’s just that mathematical research takes place solely on the theoretical plane.
I first heard about this video and others in the channel (they’re all phenomenal) in my topology seminar. These videos make math fun, and touch on a whole series of cool mathematical topics in a short time. In between, the breathless author of the video makes all sorts of delightful pop culture references and math one-offs. She’s very talented at drawing, too.
If you want to be exposed to some cool visual math through the pretense of making doodles in class, watch these videos. If you don’t, watch them and you might reconsider.