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Andrew Knauft

@aknauft.bsky.social
64 followers 103 following 40 posts

Working on it.

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Reposted by Andrew Knauft
Théo Morfoisse @theomorfoisse.bsky.social · 28/07/2026
When children start school, how do their brains change to support learning of formal mathematics? Our new paper, with @standehaene.bsky.social, just out in PNAS, followed ~50 children with yearly fMRI scans over 3 years, from preschool to 2nd grade, to see how this network develops. 🧵
pnas.org
Initial organization and progressive expansion of the math-responsive brain network during the first school years
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Andrew Knauft @aknauft.bsky.social · 29/07/2026
Also a useful read.
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Andrew Knauft @aknauft.bsky.social · 29/07/2026
I found this linked essay a useful read, pushing against "it's bad because copyright" (arguably weak) and highlighting more fundamental questions of labor and privacy. Also, a good thread!
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Reposted by Andrew Knauft
Timnit Gebru @timnitgebru.blacksky.app · 21/07/2026
Weeks ago, @chanda.blacksky.app sent me this declaration, written and signed by a bunch of mathematicians. But I only had time to read it yesterday, which ended up being right on time given a new round of hype falling exactly under the patterns this document notes.🧵 leidendeclaration.ai
leidendeclaration.ai
Leiden Declaration on Artificial Intelligence and Mathematics
This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research.
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Andrew Knauft @aknauft.bsky.social · 17/07/2026
I, for one, look forward to reading your words on Monday!
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Andrew Knauft @aknauft.bsky.social · 04/06/2026
Okay that's cool but there's still a temporal dimension you could remove. Or turn into a spatial one, that's kind of cool.
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Andrew Knauft @aknauft.bsky.social · 28/05/2026
Kid counting update: he can get to twenty, but still hits gibberish at 13/14/15 before landing nicely at 16. Incredible to witness.
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Andrew Knauft @aknauft.bsky.social · 27/05/2026
What a cool result!
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Andrew Knauft @aknauft.bsky.social · 05/03/2026
Thanks for recording this and sharing, I appreciated the overview and definitely have thoughts churning for how to bring some of this into my work with education technology. Doubly appreciated the final slide, too!
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Andrew Knauft @aknauft.bsky.social · 29/01/2026
Checking for plagiarism isn't the same as using for ai model training, but I bet lawyers would win a fair use argument, given the anthropic writers guild case. That sucks.
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Andrew Knauft @aknauft.bsky.social · 29/01/2026
Oo and found this: if pii is removed, instructors are probably within the law to upload without consent lehigh.atlassian.net/wiki/spaces/... (Referencing this letter: studentprivacy.ed.gov/sites/defaul...)
lehigh.atlassian.net
On the Effective and Appropriate Uses of Turnitin - LTS Knowledge Base - Lehigh Confluence
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Andrew Knauft @aknauft.bsky.social · 29/01/2026
I know there was a case that decided turnitin *keeping* student work was acceptable (jolt.law.harvard.edu/digest/av-v-...).
jolt.law.harvard.edu
A.V. v. iParadigms, L.L.C.: To Students’ Dismay, Plagiarism Detection Website Protected by “Fair Use”
A.V. v. iParadigms, L.L.C., April 16, 2009, No. 08-1424Opinion On April 16, the US Court of Appeals for the Fourth Circuit affirmed a summary judgment ruling by the US District...
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Andrew Knauft @aknauft.bsky.social · 17/12/2025
Oh man I have **thoughts** here. But the biggest one, I'm glad the llms aren't better at CL -- that means they (probably) didn't succeed in scraping everyone's activities. I love the idea of people learning from things I put together, but would hate for that to come through one of these models.
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Andrew Knauft @aknauft.bsky.social · 12/12/2025
Oh! Yeah totally reasonable question 😅 Line 2 is the thing that's animating, click on the pause icon.
Screenshot of a desmos geometry expression list. There is a handdrawn circle around a pause icon next to the statement a=4.373.
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Andrew Knauft @aknauft.bsky.social · 12/12/2025
I love this so much. Students completed on paper? Not typing in a spreadsheet, yeah?
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Andrew Knauft @aknauft.bsky.social · 09/12/2025
Here's what I'm seeing! On my phone, so it's a little rough www.desmos.com/geometry/bzq...
desmos.com
Desmos | Geometry
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Andrew Knauft @aknauft.bsky.social · 05/12/2025
There have been a lot of exciting things about having a kid but I have to admit, I'm really looking forward to reading these posts again and getting inspired to experience it myself!
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Andrew Knauft @aknauft.bsky.social · 02/12/2025
Yesss finally something I understand enough to remake in desmos! Delightful pattern. www.desmos.com/3d/wmps87t43t
desmos.com
Xor Combustion Recreate
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Andrew Knauft @aknauft.bsky.social · 18/11/2025
Maybe noise. Maybe music. www.desmos.com/3d/jhuvygmlvq
desmos.com
Bouncing Tone
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Reposted by Andrew Knauft
Desmos Studio @desmos.com · 28/10/2025
Have you noticed a change of colors? 🍁 You can now define colors in the 3D calculator that depend directly on coordinates. 📝 Learn more in the Desmos Help Center: help.desmos.com/hc/en-us/art... #iteachmath #mathsky
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Andrew Knauft @aknauft.bsky.social · 06/09/2025
3 months later, the beeps are gone but he smoothly counts to ten, then "twelve, fourteen, fourteen, fourteen, seven, nine".
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Andrew Knauft @aknauft.bsky.social · 06/09/2025
I am looking forward to this read! I saw a clip where she mentioned the tutoring sessions in hyperbolic geometry -- so cool!
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
Bedtime. Might not finish the podcast. Woof.
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
Oh my heart. 24 minutes, we're celebrating the (hypothetical) boy who doesn't like reading getting a custom Marvel story (I expected a law podcast to have something to say about IP here...) where he's the hero. Yes, cool, but not the point of reading??
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
Like, I'm fully on board with wanting to improve what you're selling, but off of the students' labor? Do they get to opt-in? (Or even opt-out?)
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
22 minutes, talking privacy and what happens with all that student data. This is something I've only recently started to tune in on: these parents are paying $40,000 for their kids' work to be used to sell a (argued) better product.
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
Now at 17 minutes: "I don't know many schools that would say 'okay junior in high school, we're going to have you revisit multiplication table'" I have a hard time imagining a school that *wouldn't* say that to a kid who's struggling??
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
Strongly!
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Andrew Knauft @aknauft.bsky.social · 28/08/2025
I'm 6 minutes in and the founder of Alpha Schools has asserted (with no pushback) that "obviously, the teacher in front of the classroom was born out of the industrial revolution where we had to figure out how to really educate the masses".
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Andrew Knauft @aknauft.bsky.social · 20/08/2025
Teachers, make your prediction before reading abstract: did students (Canadian, grades 4-7) do better with multiplying eg "1/2 × 1/2" or "1/2 of 1/2"?
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Reposted by Andrew Knauft
Alfie Kohn @alfiekohn.bsky.social · 28/07/2025
1/5 Maybe your childhood inspiration ("This is who I want to be") was a movie star or an athlete. Mine was #Tom_Lehrer (1928-2025). I tracked down and studied the sheet music to his songs, memorized all of them (yes, including "The Elements"), and started writing & performing my own satiric ditties.
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Andrew Knauft @aknauft.bsky.social · 21/05/2025
M is too young to really count, but if you say "five, four, three, two, one," he does a really good job continuing the pattern with "beep, beep, beep!"
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Andrew Knauft @aknauft.bsky.social · 01/04/2025
I just keep finding things I want to learn about.
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Andrew Knauft @aknauft.bsky.social · 20/03/2025
A rare miss from Desmos... It's actually my *innie* that has all the fun! teacher.desmos.com/collection/6...
teacher.desmos.com
High School Geometry
Explore our collection of free Geometry lessons. Students use a variety of tools to construct geometric figures, and then extend what they learned about rigid transformations in Grade 8 by constructin...
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Andrew Knauft @aknauft.bsky.social · 28/02/2025
I saved it as a textexpander snippet, so I actually use en quite a bit!
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Andrew Knauft @aknauft.bsky.social · 29/01/2025
Long day but kiddo (13mo) just waited in the hallway for me to wave goodnight before walking into his nursery so 🤗
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Andrew Knauft @aknauft.bsky.social · 05/01/2025
The little one has a set of 7 stacking cups. He doesn't stack them yet, preferring to interfere with Dad's towers. If he always holds two of the cups (one in each hand), how many different towers can Dad make? (Cups are each a different size, and can only stack with the immediate next size.)
A barefooted one-year-old stands behind several stacking cups. One is by itself, and four make a small tower together. The child has two more cups in hand.
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Andrew Knauft @aknauft.bsky.social · 05/01/2025
Looking forward to reading it!
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Andrew Knauft @aknauft.bsky.social · 04/01/2025
My current favorite mismatch: depending on the specific sequence and placement of clicks, this Desmos construction gives you different behavior as you drag one endpoint of the line around the other: www.desmos.com/geometry/ndo... (two lines with the different sequences, for ease of investigation)
desmos.com
Untitled
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Andrew Knauft @aknauft.bsky.social · 04/01/2025
On some level, the assumption is *never* correct: we're thinking about circles and lines, while the computer is manipulating 1s and 0s with some special rules! So there's at least potential for mismatch.
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Andrew Knauft @aknauft.bsky.social · 04/01/2025
This is great: "By manipulating the figure, we can create multiple instances of the situation that still follow the original constraints we set for the figure." There's an assumption there that the constraints of the software match the constraints we intended. I love poking at how that can fail!
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Andrew Knauft @aknauft.bsky.social · 04/12/2024
Took a photo walk this morning. Winter is here!
Close-up of a plant branch with thin green leaves. Among the leaves are patches of snow.
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Andrew Knauft @aknauft.bsky.social · 03/12/2024
Overheard: "Where did you come from? Did you leave something behind?"
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Andrew Knauft @aknauft.bsky.social · 22/11/2023
Did I take an extra-long lunch break today to go see #TheMarvels? Yes, I did. Was it fantastically enjoyable? Also yes. One of the best Marvel movies, certainly from whichever phase we're in now.
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