iiinova — where your digital self keeps evolving

Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 05/10/2026

The chucklehead announcer was talking about how he hates penalties, and my thought was "If you hate penalties, maybe try not committing them?"

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 04/10/2026

What I hate about what's happening is that trying to explain what's actually happening makes me sound like a conspiracy crackpot. I think it's part of how they're getting away with all that.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 04/10/2026

Is a zero gravity chair one of those that the Wall-E people used?

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 04/10/2026

I know Desmos already does 3D, but this makes it a lot easier to embed 3D stuff into 2D graphs: www.desmos.com/calculator/v... #iTeachMath #MTBoS

desmos.com

cube

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 02/10/2026

My first #Desmos matrix thingy - a demonstration of basis vectors: www.desmos.com/calculator/k... #iTeachMath

desmos.com

basis vectors

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 01/10/2026

I think vectors as a math thing start to make more sense after linear algebra. The way physicists and engineers think about it is different once again. Side note - I can think of four different ways to multiply ordered pairs of numbers, and the most intuitive way is the one that's never used.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 01/10/2026

My favorite two lines in this. The first uses dot products to find the component of v in the direction of a, the second simply reuses the first, but uses the perpendicular of a instead. It was one of those "I wonder if this will work right" things, and it totally did. Thanks #Desmos.

Screenshot of Desmos equations. The first on assigns v_x to function Vec of a dot v over a dot a times a, plus O. The second assigns v_y to v_x with a=p of a.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 01/10/2026

Please do. Consider it CC BY-NC-SA. You can make the attribution really small.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/09/2026

For something useful, I made a thing to visualize vector decomposition with tilted axes #ITeachPhysics www.desmos.com/calculator/c...

desmos.com

vector decomposition

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/09/2026

I know. Unfortunately for science, we have the Noah's Ark rule in our house . (Only two of each species, max) The cats are stretchy enough, but unooperative.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 27/09/2026

You know, I would totally get into Queen Crimson.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 27/09/2026

Closed captioning is sooooo bad.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 27/09/2026

Watching the full game replay of the Thursday night game on #NFL+, and it's just all the left over clippings from the condensed game. The only plays you see are those from instant replay. I don't even think you can even blame AI for this enshitification.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 27/09/2026

I feel like wizard vans have been replaced by advertising wraps - everyone is trying to get a side hustle. I'm also afraid that if it made a comeback, I'd see way too many slop wizards. Man, I must be in a mood tonight.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 21/09/2026

I've recently noted that a lot of my students are concerned about points, what might get marked down, or what they will get credit for. So much of our language in education is about the scoring system, and not mastery or proficiency. So, time to change my language (and thinking) again. #Edosky

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 21/09/2026

A couple of years back, both my spouse and I decided to start degendering our language. It was less about making some point, and more about changing our thinking about our instead assumptions of gender. (I promise this is going somewhere #eduSky) (+)

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 19/09/2026

All those "Just say no" ads should have been replaced with "Don't touch the wild animals. Just don't."

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 17/09/2026

If you just want geometric transformations, all I've got is a toy showing that any combination of translation and rotation can also be achieved by two reflections: www.desmos.com/calculator/n...

desmos.com

transforms

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 17/09/2026

There's also a version that just makes infinite variations for practice: www.desmos.com/calculator/1...

desmos.com

Transformations (random)

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 17/09/2026

If you're talking algebraic transformations, I did this one a while back. It's a bit prone to promoting random guessing, but as an intro it reveals the patterns you want them to find... #iTeachMath www.desmos.com/calculator/u...

desmos.com

Transformation exploration

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 14/09/2026

I'm also (very mildly) disappointed that Desmos gets wonky trying to fill those shapes.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 14/09/2026

Yup - saw someone on Reddit do it, and had to recreate it to figure it out. This was my shot at explaining (sort of) why it works the way it does.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 13/09/2026

I'll take it off your hands if you cover shipping...

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 13/09/2026

TIL: If you roll the envelope circle of a hypocycloid inside an appropriately sized larger circle, the cusps trace out the next higher order cycloid. #iTeachMath #MTBoS www.desmos.com/calculator/1...

desmos.com

nested hypocycloid

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 12/09/2026

The thing is, as dangerous and horrible as LLMs are, the stuff they're fear mongering about is a big nothing burger. The AI gets out because they give it permission to. It breaks into things because that's how they trained and promoted it. They need a scape goat for their own actions.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 11/09/2026

Paired images: I was having trouble drawing a leaping dog for this diagram, so I improvised.

A diagram for a projectile motion problem based on dock jumping competitions. The place where a dog would be drawn is holding a phone displaying a stretched out dog.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 11/09/2026

There is a certain joy in addressing a newly hatched nonbinary student by their new name as they walk through the door and watching them do a happy dance all the way to their seat. #EduSky (Fuck TERFs)

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 07/09/2026

It's totally acceptable to travel with a shotgun, if you do it right. Skeet is an international sport.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 05/09/2026

I am at the point I'm my life where I would make sure you could open it from the inside before climbing in. That's called growth.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 03/09/2026

This went much better than it had any right to. Watching the crowd while I presented AI research was like watching the audience at a horror movie. The parenting styles part caught a couple of people off guard. Principal came by and gave me a thumbs up.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 02/09/2026

I remember the first time we visited the hanging playas (about 30 miles north east of the BM location) and one of the people with us got a text notification. That was 20 years ago.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 01/09/2026

I'm not sure what "wildly illegal" even means anymore, given what's going on at the justice department and the supreme court.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 01/09/2026

And it's also completely impossible to get the AI to pass you off to a human before those 30 min are up.

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Reposted by Tʀᴇʏ Gᴏᴇsʜ.

Durtles @makeaproblem.bsky.social · 01/09/2026

Happy September! 🍎 It's back to school season, and my #math themed #mailclub is giving out copies of the July test run package for free for the month of September. Grab yours while supplies last because we don't restock. 😉 ko-fi.com/makeaproblem... #maths #mathsky #iteachmath #snailmailclub

An open envelope with an instruction sheet, a postcard, a piece of napkin, and a sticker.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/08/2026

Didn't mean to terrify you. The ice is great, though.

An Old Fashioned cocktail in a large lowball glass. It's on a purple table with a crowded background. It has a large perfectly clear ice ball and a cobalt blue glass cocktail straw.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/08/2026

Apologize for the Amazon link. The same style should be available elsewhere, too.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/08/2026

Only a little bit of talking down. Those don't look like they'll make completely clear balls. You need directional freezing, and those are equally insulated all around. This is the one I use, and it does a really nice job. (It's also available in skulls and diamonds): www.amazon.com/dp/B0F8J536K6

amazon.com

Amazon.com: TINANA Clear Ice Ball Maker, 2.5” Crystal Clear Ice Cube Tray Make 2 Large Sphere Ice Balls for Whiskey Cocktails & Bourbon: Home & Kitchen

Online Shopping for Kitchen Utensils & Gadgets from a great selection at everyday low prices. Free 2-day Shipping with Amazon Prime.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 30/08/2026

Getting ready for back to school night. Rather than the usual regurgitation of my syllabus, I'm going to be focusing the majority of my time on the potential intellectual damage from using AI and the distinct differences between authoritative and authoritarian parenting. #EduSky

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 27/08/2026

I think the closest I get is knowing I've taught that content long enough that I could successfully wing it from scratch if I had to.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 25/08/2026

I remember Bobby Kennedy's assassination, but not JFK's.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 21/08/2026

I still find it crazy that all the bullshit they said about drugs ruining your brain is actually true for generative AI, (down to the pushers giving you free samples to get you hooked) and anyojne with any power is just happily going along with it.

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Tʀᴇʏ Gᴏᴇsʜ. @tgoesh.bsky.social · 16/08/2026

I don't know where the story would go, because the whole thing feels like it dealt with everything that needed to be dealt with. But, I also love the characters and world so much that, should it happen, I would preorder the second I had a chance.

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