You might think, “but how will we know if student outcomes are improving without testing?” and the answer is that we must support and then trust our teachers. Teachers spend their lives working with and understanding students. Many of these regimes emerged out of not trusting teachers.
This is a long read, so I’ve been working through it during parenting breaks. Just finished, and can confirm—it is great.
The more general version for filled-in surfaces of higher genus gets the somewhat more entertaining name “handlebody” en.wikipedia.org/wiki/Handleb...
Jupiter is looking at me. And it has, like, a face inside its face.
@kevinmgill.bsky.social
Take care of your people. It’s hard to beat a thriving community of care.
Our REU renewal was funded!
We found out today so we are accepting applications now! Like right now!
Application review is going to happen swiftly as we know we’re are late in the typical cycle.
pa.msu.edu/undergraduat...
#reu #physics #astronomy #research
I believe that in order to take some small step forward, the word “bird” should be replaced with “saur” in all common names. Mockingsaur. Secretarysaur. Red-winged blacksaur.
HUMMINGSAUR
@hannahnpbowman.com and I have very different associations with “Hallelujah”
Bohemian Rhapsody
IF THE ZOO BANS ME FOR HOLLERING AT THE ANIMALS I WILL FACE GOD AND WALK BACKWARDS INTO HELL
“Likely known to the experts”
You mean CP^1 right?
I'm really happy this paper is finally out!
It's about a course I taught for many years, and it ties together lots of my favorite and most creative ideas.
It also deepens my contribution to the ongoing discussion of the nature of inquiry. [Jump to Section 3.4 for a fun image.]
My calculus lesson this morning, basically.
https://geohot.github.io/blog/jekyll/update/2026/01/26/own-a-zettaflop.html "Just an exaflop would feel amazing. 1000 Claudes. And I already have one of these, I just don’t have the software finished yet to command it all together. We’re working on it. But a zettaflop. One million Claudes. To be able to search every book in history, solve math problems, write novels, read every comment, watch every reel, iterate over and over on a piece of code until it’s perfect – spend a human year in 10 minutes. 50,000 people working for you, all aligned with you, all answering as one."
A fundamental category error of a bunch of engineers and in particular AI/ML ones is their belief that "everything accessible on the internet" or even "everything digitized" is the same as *everything*.
A zettaflop doesn't get you everything; what's digitized is very importantly *not* everything.
Take the next step in your math career! Apply for the 2026–2027 MAA Project NExT cohort and join a community that supports and mentors early-career mathematicians.
Apply by April 15: https://maa.org/maa-project-next/
Haha we unironically have something like this in our parish bulletin, after somebody made an anonymous complaint about one of my kids 😂
It’s a book about prison abolition, and about sacraments, and about space and geography, and about how we build different kinds of communities. Constructive theology with practical effects, I hope. ⚓️
The stage of Walt Disney Concert Hall with the LA Philharmonic in the background, and a program listing Messiaen’s Turangalîla in the foreground
It’s been more than three years since I was in this hall, and more than 25 years since I heard this piece live.
My working theory is that there is no standardizable test that can be deployed to earn the equivalent of college credit bc college classes are not taught to a universal standard and the standards they are taught to are not possible to test in a single session.
OK so it's only Canada for now but I am too excited not to share: the pre-order links for MY BOOK are starting to go up; it's appeared on the Indigo site www.indigo.ca/en-ca/abolit... (hi Canadian friends!) (cc @ryankturnbull.bsky.social)
Fries dipped in ketchup < plain fries < fries dipped in strawberry milkshake
I usually write 0/1 and 1/1 to try to help find patterns, and I usually also write the next sequence before I set them to work.
The idea of “process knowledge” crystallizes so much.
It is what people mean—at the very least!—by “no such thing as unskilled labor.” That process knowledge is an acquired skill.
It is why Wikipedia—which I love!—could never hold “the sum of all human knowledge.”
It is essential and invisible.
I have an activity for students where I write the first few Farey sequences:
0, 1
0, 1/2, 1
0, 1/3, 1/2, 2/3, 1
0, 1/4, 1/3, 1/2, 2/3, 3/4, 1
0, 1/5, 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 1
Then I ask them to find a way to predict which terms will be added and where. This trick comes in handy.
I need to teach statistics. I still don’t know what those are.
Fantastic post on the massively under-appreciated value of process knowledge, how it’s far more meaningful to the day-to-day success of any business than IP, and how the tech bros and AI boosters who ignore it are guilty of incredible naivety.
