## Topology trickery

Here's a very clever topology trick!

More information at Division by Zero.

Hat tip to Multiplication by Infinity.

## Three high school courses via MIT OpenCourseWare

If you've not discovered MIT's courses for high school students you owe yourself a look. There are courses in Math, science, and humanities, all available for free via the web, with course notes and homework assignments included. These courses are a small fraction of the more than 2,000 MIT OpenCourseWare classes.

Three of the courses are in Math:

## Wild About Math blogs 5/27/11

Welcome to Wild About Math blogs!

This is the last edition. If you'd like to put on your own personal Math blog carnival I recommend you follow the large list of blogs at Mathblogging.org and let us all know about the articles you like. I thought I had a pretty big list of Math blogs in my RSS reader; their list is much bigger. You can subscribe to parts or to all of their list via RSS and you can even follow the twitter feeds of a bunch of Math bloggers.

I discovered some really wonderful BBC Math radio shows. See here.

Math Teachers at Play Carnival #38 is up at Mathematics and Multimedia.

I've been spending time at the Math Pickle site, greatly enjoying the simple yet deep and difficult to solve Math puzzles and games there. The "inspired people" page is particularly noteworthy. There are some familiar faces on the page, Martin Gardner, Vi Hart, and James Tanton to name a few. And, there are a bunch of people I don't know much about who I'll have to read up on. Here's one inspired person from the list:

Leo Moser seems to have been the first person who advocated unsolved problems being used in K-12 education. He asked many tough problems with child-like zeal: “What’s the area of the smallest house that a unit worm can live comfortably?” meaning what shape can cover a worm no matter how he curls up?

And, also from the Math Pickle site, is a video of a fun division game with some deep stuff going on beneath the surface.

## Tanton tantalizes with an Euler gem

James Tanton has produced another great video, this one on a very intriguing partitioning problem with a very clever solution.

There are four ways to break the number 6 down into a sum of distinct numbers: 6 = 5+1 = 4+2 = 3+2+1. There are four ways to break the number of 6 down into odd numbers: 5+1 = 3+3 = 3+1+1=1 = 1+1+1+1+1+1. It is no coincidence that the count of ways are the same. In 1740 Euler proved it will always be so! His proof is ingenious and here it is! I've also added a challenge at the end to discover other bizarre results like this one. (I bet you can do it!)

I thoroughly enjoy Tanton's ability to find interesting problems and make them accessible to those of us who aren't professional mathematicians. In fact, all of Tanton's videos are accessible to motivated high school students.

I was delighted to see Mr. Tanton included in Math Pickle's page of inspired people.

A MathPickle guy to the core - James Tanton is a fully fledged mathematician with a fantastic web site that offers videos for school teachers and first year university lecturers. Visit his web site here.