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.
October 15, 2019
August 1, 2019
When Does Nothing Mean Something?
Those deliberately ambiguous orderofoperations problems that plague social media may actually be evidence of a mathematical "language shift."
Posted by Bill Shillito
January 12, 2019
Who Says You Can't Do That?  Trig Identities
Everyone knows you can't do the same thing to both sides of a trig identity to prove it... right?
Posted by Bill Shillito
Posted by Bill Shillito
January 2, 2019
When Math is in Jeopardy!
What kind of message does it send that game shows so often get mathematics wrong?
Posted by Bill Shillito
October 21, 2017
Discreet Discrete Calculus
A presentation I gave at the Georgia Mathematics Conference, about slyly introducing precalculus students to a discrete version of calculus.
Posted by Bill Shillito
September 15, 2017
I'm Done with Two Column Proofs.
Statement: They're terrible.
Reason: They don't help students reason — if anything, they just get in the way.
Posted by Bill Shillito
August 14, 2015
A RealLife Paradox: The BanachTarski Burrito
Who knew the Axiom of Choice could help me decide whether to get guacamole for an extra $1.95?
Posted by Bill Shillito
Posted by Bill Shillito
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What if we could invent a new notation for logarithms that was consistent with how we write exponents and radicals?

Does anyone know why social media is obsessed with the order of operations?

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

Turns out that whether or not you write a symbol for multiplication can actually make a big difference.

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

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 ab...

There's a much better and more intuitive notation for rounding functions. So why don't more textbooks use it?