### Varieties: The Spice of Life

August 3, 2021

Can high school students really learn algebraic geometry? And what could it teach us about mathematics education?

### Orbit-Stabilizer Theorem

October 15, 2019

My song on the dance game Pump it Up XX is named after a famous theorem from group theory. Here's an explanation of what it's all about.

### When Does Nothing Mean Something?

August 1, 2019

Those deliberately ambiguous order-of-operations problems that plague social media may actually be evidence of a mathematical "language shift."

### Who Says You Can't Do That? — Trig Identities

January 12, 2019

Everyone knows you can't do the same thing to both sides of a trig identity to prove it... right?

### When Math is in Jeopardy!

January 2, 2019

What kind of message does it send that game shows so often get mathematics wrong?

### Discreet Discrete Calculus

October 21, 2017

A presentation I gave at the Georgia Mathematics Conference, about slyly introducing precalculus students to a discrete version of calculus.

### I'm Done with Two Column Proofs.

September 15, 2017

Statement: They're terrible.
Reason: They don't help students reason — if anything, they just get in the way.

### A Real-Life Paradox: The Banach-Tarski Burrito

August 14, 2015

Who knew the Axiom of Choice could help me decide whether to get guacamole for an extra $1.95?

### A Radical New Look for Logarithms

April 24, 2015

What if we could invent a new notation for logarithms that was consistent with how we write exponents and radicals?

### Infinity is my favorite number.

September 15, 2014

Yes, you read that right.