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Cal Armstrong

@calarmstrong.bsky.social
437 followers 473 following 341 posts

I learn; I help others learn Mathematics Educator/Microsoft Education Fellow/PCMI - Institute for Advanced Study/Aux Police A/Sgt @cal_armstrong@mathstodon.xyz @sig225 on X/Twitter

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Cal Armstrong @calarmstrong.bsky.social · 21/09/2026
#onted elementary educators. The #otf Subject Associations are returning for another free virtual session to answer your questions, provide resources and support. Wednesday October 7th at 7pm. bit.ly/lifelineoctober to register and submit any questions in advance
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Karen Campe @karencampe.bsky.social · 08/09/2026
The 254th Carnival of Mathematics is posted! Check out all the cool math we collated from the internet in August. @CarnivalOfMath @aperiodical.bsky.social #CarnivalOfMath #iTeachMath #MathSky #MathsToday karendcampe.wordpress.com/2026/09/07/c...
karendcampe.wordpress.com
Carnival Of Mathematics
Welcome to the 254th installment of the Carnival of Mathematics, a roundup of interesting mathematics content from August 2026. The Carnival is a monthly post hosted by a different blog each month.…
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Cal Armstrong @calarmstrong.bsky.social · 15/05/2026
Given the price of gas, @waze should integrate a "hitch-hike" mode where you could pick up the hitchhiker and they'd know how far they could get towards their goal (if not actually on your route and you drop them off exactly there).
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Cal Armstrong @calarmstrong.bsky.social · 13/05/2026
Presenter on AI tools: "It's like walking into Sephora.. You are overwhelmed but all the young people are diving right in."
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Cal Armstrong @calarmstrong.bsky.social · 30/03/2026
chatOAME now has a *GeoBoard* visualization... Along with Desmos, GeoGebra, Polypad, and Graspable Math, we're really starting to fill in the visualization gaps that LLMs leave especially in a subject like math where noticing relationships is so important. What's still missing, #onted #mtbos?
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Cal Armstrong @calarmstrong.bsky.social · 29/03/2026
I ran into a teacher who had never heard the phrase "productive struggle" before, and encouraged the presenter to copyright it immediately, so taken by it (law teacher). It was coined by the awesomeJames Heibert in the late 2-noughts & forms a great argument against AI
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Jennifer Casa-Todd @jcasatodd.bsky.social · 28/03/2026
There is a VAST difference between #AI access in independent schools & public schools which is only widening the equity gap! That doesn’t even factor in the fact that so many voices & cultures are missing from training data! via @heidisiwak.bsky.social @ecooorg.bsky.social #Edusky #dreamforward
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Tim King @tk1ng.bsky.social · 28/03/2026
The inestimable @pbeens.bsky.social the maker of more custom GPTs than any #onted teacher I know. " #AI can create the illusion of learning " Cognitive offloading. Presenting to a full room at #dreamforward on this snowy Saturday morning. #education #aiineducation
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Cal Armstrong @calarmstrong.bsky.social · 28/03/2026
Setting up for the opening session at #DreamForward STEAM event today in Milton. Thanks @ICTC_CTIC and @HCDSB and @ecooorg for bringing teachers together.
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Cal Armstrong @calarmstrong.bsky.social · 28/03/2026
Setting up for the opening session at #DreamForward STEAM event today in Milton. Thanks @ICTC_CTIC and @HCDSB and @ecooorg for bringing teachers together.
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oamecounts.bsky.social @oamecounts.bsky.social · 03/02/2026
"The Counter" February newsletter is out! Highlights: @ilanahorn.bsky.social "Mathematics Education at the End of the World", @davidpetro314.bsky.social OAMETalks on the OAME2026 conference & Michael Frankfort on Learning (Dis)abilities sites.google.com/oame.on.ca/n... #mtbos #mathed #onted
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Cal Armstrong @calarmstrong.bsky.social · 02/02/2026
Chatting #AI in #mathed with the good folks in the Pacific North West on Monday, Feb. 9th! app.smore.com/n/25hyx #mtbos #ArtificialIntelligence #pcmi
app.smore.com
WINTER PRESENTATION: CAL ARMSTRONG
WINTER PRESENTATION: CAL ARMSTRONG
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Debate Math @debatemath.bsky.social · 22/01/2026
SEASON 5 HAS STARTED! Check out our latest episode: Is AI Helpful in Math Education? Listen and subscribe on Apple Podcasts: podcasts.apple.com/us/podcast/d... Or listen on Spotify: open.spotify.com/show/3soGg9I... Or check us out wherever you listen to podcasts! #DebateMath
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Cal Armstrong @calarmstrong.bsky.social · 13/01/2026
Wondering about #AI in Education? The AI experts come together again tonight online for Explor-AI-tion 2.0 : there's still time to register! (there's a 50% off code for math folks!) #onted #mtbos #iteachmath #AIInnovation ecoo.org/exploraition...
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Cal Armstrong @calarmstrong.bsky.social · 17/12/2025
My favourite use for #AI this year? I used the Santa emoji for an activity and needed the back of his head, so I asked ChatGPT to give me the image: #mtbos #mathed #santa
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Cal Armstrong @calarmstrong.bsky.social · 15/12/2025
Love Christmas! My colleague made these Christmas Tree cupcakes to share. I'm enjoying it while I invigilate this end of term AP Calculus test.
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Cal Armstrong @calarmstrong.bsky.social · 14/12/2025
Me (reading blogpost): Ugh, this is just AI slop. Author: It's my work! Me: No, I'd really like to read your work, but not AI's homogenization of it (It was formatted exactly like ChatGPT, em-dashes abound, "not this but this" structures, etc). Author <blocks me>
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Cal Armstrong @calarmstrong.bsky.social · 27/11/2025
I was making a #OneNote Page for my Gr 10 class and we were turning back time to a previous topic to use in our new problem. I tipped Cher's "If I Could Turn Back Time" in as a side-note. Then I played the video.. and quickly deleted it. youtube.com/watch?v=9n3A... Little too racy.
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Cal Armstrong @calarmstrong.bsky.social · 22/11/2025
Learning happens best when teachers look students in the eye, not look down on them. Dialogue, not authority, engenders well-being. Santiago Rincon-Gillargo at #otfcurriculumforum #mtbos #onted #mathed
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Cal Armstrong @calarmstrong.bsky.social · 22/11/2025
"Learning to be taught" (the required compliance for reasonable management and safety, that becomes an overwhelming aspect of schools) is not equal to "Learning to learn" (Learning as a practice of freedom) Santiago Rincon-Gillargo at #otfcurriculumforum #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 22/11/2025
"We may not be able to replace the system, but we can create the friction that makes cracks in the system's concrete in which life can flourish" Benjamin Freud via Dr. Santiago Rincon-Gillargo at @otffeo Curriculum Forum @OAMEcounts #mathed #mtbos
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Cal Armstrong @calarmstrong.bsky.social · 09/11/2025
"This is just axiomatically true... which is MathSpeak for 'Because I told you so!'" @freya.bsky.social via www.youtube.com/@acegikmo
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Mike Deutsch @mdeutschmtl.bsky.social · 05/11/2025
#mtbos gang, assemble!
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DavidPetro314 @davidpetro314.bsky.social · 04/11/2025
[New Podcast] This episode features Stacey Jacobs previewing their Nov 12th @oamecounts.bsky.social members only webinar "Empowering Math Learners: Executive Function Strategies to Support Math Learning". More info: talks.oame.on.ca/season-8 #MathChat #MTBoS #iTeachMath
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oamecounts.bsky.social @oamecounts.bsky.social · 05/11/2025
The @oamecounts.bsky.social November Newsletter is out! What's going on in Ontario Mathematics? (spoiler: Leadership Conference with Dr. Elham Kazemi tonight, Wed, at 7pm!) sites.google.com/oame.on.ca/n... #onted #mathed #mtbos
sites.google.com
OAME News - Nov 2025
Upcoming OAME Events At-a-Glance: Wednesday, November 5 - OAME Leadership Conference (virtual) - Link Wednesday, November 12 - OAMEtalks webinar on Empowering Math Learners (virtual) - Link Tuesday, N...
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Cal Armstrong @calarmstrong.bsky.social · 29/10/2025
Sorry, #AI ... the document is LONG because it's important, and the text has been chosen deliberately to convey meaning by the author. I don't need Reader's Digest abridged and condensed versions.
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Sung Kim @sungkim.bsky.social · 28/10/2025
LLMs are injective and invertible. They show that different prompts always map to different embeddings, and this property can be used to recover input tokens from individual embeddings in latent space. Paper: www.arxiv.org/abs/2510.15511
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Cal Armstrong @calarmstrong.bsky.social · 27/10/2025
Me: And after you substitute into the equation, it's just arithmetic. Student: What's arithmetic?
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Jed @jedediyah.com · 19/10/2025
Two things from #NCTMatl25 that I'm going to be using *this* week: Gail Burrill's algebra problem, and @gwaddell.bsky.social and Ed Keppelmann's 4 pile Nim.
Slide shows: "Solve (x^2 -5x +5)^(x^2 -9x +20) = 1NIM: 4 pile game
- Draw 4 piles of dots, one has 8, one has 4, one has 2, and the last has 1 dot. 
- You can take as many as you want each turn, but only from 1 pile. 
- The winner takes the last dot. 

Do you see a winning strategy?
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Cal Armstrong @calarmstrong.bsky.social · 22/10/2025
I'm excited for my #AI schedule tonight at #ExplorAItion ! There's still time to register (and *cough* there's a special OAME code for 50% off) ecoo.org/exploraition... #mtbos #mathed #onted
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Jed @jedediyah.com · 20/10/2025
"Discrete mathematics in primary and secondary schools in the United States" 2004 DeBellis Valerie A. & Joseph G. Rosenstein There are some fire quotes in this #MathEdPaperOfTheWeek #mtbos #iteachmath link.springer.com/article/10.1...
link.springer.com
Discrete mathematics in primary and secondary schools in the United States - ZDM – Mathematics Education
This article provides a status report on discrete mathematics in America's schools, including an overview of publications and programs that have had major impact. It discusses why discrete mathematics...
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Norma B Gordon @normabgordon.bsky.social · 18/10/2025
This looks interesting! royalsocietypublishing.org/doi/10.1098/...
royalsocietypublishing.org
Gestures can help children learn mathematics: how researchers can work with teachers to make gesture studies applicable to classrooms | Philosophical Transactions of the Royal Society B: Biological Sc...
The gestures we produce serve a variety of functions—they affect our communication, guide our attention and help us think and change the way we think. Gestures can consequently also help us learn, gen...
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
So I had two tasks at #NCTMATL25 (besides presenting with Cynthia Shi) ... see @pegcagle.bsky.social and Gail Burrill ... mission accomplished! And a bonus visit with Vicki Lyons Forgot to take a pic with Peg & Vicki, but I got Gail! #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
Okay, this is still an issue in high school #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
Each representation is correct, but which are helpful, at what stage, and for which purpose? #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
So the previous session mentioned procedural fluency versus conceptual understanding. The next session drove the point home. #nctmatl25 #mtbos #mathed
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Erick Lee @theericklee.bsky.social · 18/10/2025
Inspired by #NCTMATL25 to present at an upcoming conference? Both NCTM and OAME 2026 conference proposals close on Nov. 1st. Here are some thoughts on the benefits of writing a math conference proposal. pbbmath.weebly.com/blog/confere... #ITeachMath @oamelearns.bsky.social
pbbmath.weebly.com
Conference Proposals to Clarify Your Practice
The 2025 NCTM conference kicks off in just a few days in Atlanta, Georgia. Social media is full of teachers preparing for the event and exhibitors inviting participants to visit their booths. While I....
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
The only reason I would want to teach small children would be for the contexts - & sketches - they create! #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
Use "Create a mathematical sketch" rather than "draw a picture" (it was referenced from another session so I don't have a reason why atm) #nctmatl25 #mtbos #mathed
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benjamin dickman @benjamindickman.bsky.social · 18/10/2025
scholar.google.com/scholar?hl=e... Check work from @marthaalibali.bsky.social !
scholar.google.com
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
Note to self ... Look up research on gesturing in mathematics education. If any of you out in the #mtbos have some ideas ... #NCTMATL25 #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
"Because of the abstract nature of mathematics, people have access to mathematical ideas only through the representations of those ideas" from Adding It Up. #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
Oh... The exhibit hall at #NCTMATL25 isn't open today, now that I have some time. #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 18/10/2025
"I want procedural fluency from conceptual understanding" #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
The session had us ask our favorite #AI what we should do in Atlanta while at @NCTM I love #chatOAME :) #NCTMATL25 #mtbos #onted #mathed
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
Sorry, in a few minutes I'll be geeking out a bit... At #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
Art and Math Collide At #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
Education is the one venue where the client doesn't want the full value of the experience. #ntcmatl25 #mtbos
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
Issues in lesson plan generation using #AI at #nctmatl25 #mtbos #mathed
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Cal Armstrong @calarmstrong.bsky.social · 16/10/2025
I read ~10,000 teacher prompts they made to #AI At #NCTMatl25 Friday @ 1pm, come hear what I learned about how and why math teachers use #AI for their classes, and how that can improve your use. #mathed #mtbos #onted
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