As I write this blog post, we are all either struggling with the impact of the COVID-19 virus or waiting nervously as cases start to rise in our area. I am currently teaching remotely. My college students are scattered around the globe, and we are interacting through various online methods.
This semester I am teaching topology, one of my favorite classes to teach. The students are second-semester seniors or junior. So for many of them, this is their last mathematics class. Near the end of the semester, I often take a break from the theory and proofs and have a class where the students play with Möbius bands and related objects—making them out of paper, cutting them apart, forming conjectures, and so on. It is usually a welcome April stress-reliever. This year, they will have to do it at home on their own. I made the following video for them to follow along.
I made the video for my advanced mathematics students, but I hope that the video could also be enjoyed by people of all ages and mathematical backgrounds. I have done this activity with kids as young as kindergarten. Everyone seems to enjoy it. I can’t stress this enough that it is best when you do the activity. It makes much more of an impact than watching it. By the way, when I do the activity for younger kids I tell them a story (about a circus coming to town) to go along with the activity. (I wrote about it here.)
Have fun, and if you do this with your kids or students, leave a comment (or a photo!) below.
If you would like another take on this idea, you can read my post about making zip-apart Möbius bands.
Or you can read about making Möbius band ambigrams.