Blog

Thoughts on mathematics and education — their intersection, their differences, and their union.

Varieties: The Spice of Life

August 3, 2021
Mathematics
Algebraic Geometry
Teaching

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

Orbit-Stabilizer Theorem

October 15, 2019
Mathematics
Music

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
Mathematics

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
Mathematics

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
Mathematics

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

Discreet Discrete Calculus

October 21, 2017
Mathematics
Teaching

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
Mathematics
Teaching

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
Mathematics
Humor

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
Mathematics

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
Mathematics

Yes, you read that right.

Subscribe