Visualizing Math – A beautifully curated museum of mathematical curiosities. Totally mesmerizing, and full of things you’ll want to show someone (or everyone). It’s run, somewhat incredibly, by two 11th-graders in Minnesota.
Vi Hart – A brilliant maker of mathematical mischief. In her playful, irreverent, blink-and-you’ll-miss-it videos, she lays out puzzles, queries, discoveries, and ingenious mathematical tricks. Addictive as heck.
Hans Rosling – Adorable, Swedish, brilliant – in short, the love of my life. His colorful presentation of statistics about world health (via Gapminder) will change the way you see the planet – and, if you’re anything like me, make you swoon. All his videos are wonderful, but this is a good one to start with.
Adventures in Teaching (Darryl Yong) – A professor goes to high school to learn about teaching math. He steers clear of hubris and easy answers, and arrives at conclusions that are deep and heartfelt (if not groundbreaking). A sobering but encouraging read.
The Lesson of Grace in Teaching (Francis Su) – A Harvey Mudd professor meditates on generosity of spirit, displays of kindness, and the notion that our human worth does not hinge on our accomplishments.
A Mathematician’s Lament (by Paul Lockhart) – The single best piece of writing about math education that I’ve ever come across – scathing, vivid, and hilarious. I can’t tell if it’s the work of a merciless cynic, a hopeless idealist, or – most likely – both.
What is Mathematics For? (by Underwood Dudley) – With patient insistence, Dudley lays out a blindingly obvious fact that most of us wilfully overlook: Algebra is virtually useless in real life. And – even more obviously, and even more shockingly – that’s okay.
Curmudgeon – Provocative, well-written, and aptly named math teaching blog. Some things I agree with, some I don’t, and lots I find interesting.
The Dreamers, the Puzzlers, and the Mischief-Makers
XKCD: What If? (Randall Munroe) – The creator of the internet’s most wildly successful webcomic tackles some fun physics questions every week.
Scale of Universe – The most fun you’ve ever had zooming in and out, in and out…