## GeoGebra Tutorial: Golden Ratio / Power of a Point

Introduction In my previous post, I included this image, which I’d made in GeoGebra. The image satisfies the conditions of the problem: $$AD$$ is t...

## The Golden Ratio and the Power of a Point Theorem

The Golden Ratio By definition, the Golden Ratio is a ratio involving overlapping line segments. Given collinear points A, B, and C, such that B is between A an...

## Schrödinger’s Brat and 3-Door Monte

The Monty Hall problem persists in Internet mathematics discussions, as if its results are somehow spectacularly unique or mystifying. Here is the problem: You ...

## Proof of the Power of a Point Theorem

I had to dig for a bit to find a complete proof for each part of the Power of a Point Theorem, so I thought it would be useful to compile my own proof. The Powe...

## Math Needs Better PR

I was recently reading a book on Greenfoot, a Java-based GUI intended for teaching programming to high schoolers and college underclassman. In the “Newton...

## 10 vs Ten

What does “ten” mean? Here are some dictionary definitions: The number 10. (MacMillan) The cardinal number equal to 9 + 1. (American Heritage) Equiv...

## Intersecting Secants

In this entry, I’m going to be discussing how mathematicians tend to approach the world, and why we need better PR. I’m currently teaching High Scho...