I’ve just started the book An Illustrated Theory of Numbers by Martin Weissman with my son:
We are going slowly and are just a few pages in, but I wanted to so a project with Hasse diagrams today because he told me last week that seeing those diagrams in the beginning of the book is what made him want to study the book a bit more.
We started today by looking at the book and exploring a bit about factoring integers:
After that introduction I had the boys read the section on the book on Hasse diagrams (roughly 1 page long) to be sure they understood how they worked. Here’s what they had to say and then a bit of practice:
It turned out that the final exercise in the last video – writing the Hasse diagram for 36 – proved to be a little tricky for my younger son. Because the last video was running long we broke things into two parts. Here we finish the diagram for 36:
We finished up by looking at one of the Hasse diagram exercises in the book. Here the boys wrote the diagrams for 7, 15, 18, and 105.
This project was a nice light touch one. It gave the boys an opportunity to review a bit of arithmetic and introductory number theory. It was also fun to explore this interesting connection between number theory and geometry.
2 thoughts on “Exploring Hasse diagrams with kids thanks to Martin Weissman’s An Illustrated Theory of Numbers”
I enjoy following your posts. I have a daughter in kindergarten and have been trying to find math things (not on iPad) to keep doing This summer. Any recommendations for younger kids?
If you do a search for “mike lawler” and family math on youtube you’ll find some collections of the projects we did when the boys were young:
I also think Zometool is a terrific set for kids to play around with, though kindergarten might be a bit young.