Tʀᴇʏ Gᴏᴇsʜ.
@tgoesh.bsky.social
Thou shalt not commit adulthood.
Defender of clowns.
Older than you think.
(he/they)
⚡
Defender of clowns.
Older than you think.
(he/they)
⚡
This hits hard every time you see someone say "But I use AI and the results are good." It says more about them than they really probably wanted to.
November 10, 2025 at 9:26 PM
This hits hard every time you see someone say "But I use AI and the results are good." It says more about them than they really probably wanted to.
There was a good journal article a couple of weeks ago about how using AI exacerbates the Dunning Kruger effect, so that people using become even more incapable of discriminating what "good" is.
November 10, 2025 at 9:23 PM
There was a good journal article a couple of weeks ago about how using AI exacerbates the Dunning Kruger effect, so that people using become even more incapable of discriminating what "good" is.
Can't you give *some* credit to the Chargers⚡️D for getting him off of his game?
November 10, 2025 at 5:21 PM
Can't you give *some* credit to the Chargers⚡️D for getting him off of his game?
Sorry - I was being a bit cynical.
I'm not actually asking for that proof - the one I like has to do with seeing determinants as the associated scaling factor of a particular matrix, and finding the ratios when you replace the basis vectors.
But those are not concepts we teach at that level.
I'm not actually asking for that proof - the one I like has to do with seeing determinants as the associated scaling factor of a particular matrix, and finding the ratios when you replace the basis vectors.
But those are not concepts we teach at that level.
November 10, 2025 at 3:10 PM
Sorry - I was being a bit cynical.
I'm not actually asking for that proof - the one I like has to do with seeing determinants as the associated scaling factor of a particular matrix, and finding the ratios when you replace the basis vectors.
But those are not concepts we teach at that level.
I'm not actually asking for that proof - the one I like has to do with seeing determinants as the associated scaling factor of a particular matrix, and finding the ratios when you replace the basis vectors.
But those are not concepts we teach at that level.
2x2 determinants may as well be cross products?
Which just increased my understanding of quaternions (which roll all three types of vector multiplication into one type of number...)
Which just increased my understanding of quaternions (which roll all three types of vector multiplication into one type of number...)
November 10, 2025 at 2:37 PM
2x2 determinants may as well be cross products?
Which just increased my understanding of quaternions (which roll all three types of vector multiplication into one type of number...)
Which just increased my understanding of quaternions (which roll all three types of vector multiplication into one type of number...)
Absolutely, but I think it's partly because (a) we don't expose them to a lot of "this is why this works" before that, and (b) sucking at something is the first step to being sorta good at something.
November 10, 2025 at 12:45 PM
Absolutely, but I think it's partly because (a) we don't expose them to a lot of "this is why this works" before that, and (b) sucking at something is the first step to being sorta good at something.
They cut away before they could get into the context of those Olympics.
November 9, 2025 at 4:18 PM
They cut away before they could get into the context of those Olympics.
The thing is, all of those theorems are commonly built on the same ideas (for SOME reason similar and isosceles triangles are prominently featured in the proofs) and if you understand their derivation, they feel more like different aspects of the same thing rather than different entities.
November 8, 2025 at 10:40 PM
The thing is, all of those theorems are commonly built on the same ideas (for SOME reason similar and isosceles triangles are prominently featured in the proofs) and if you understand their derivation, they feel more like different aspects of the same thing rather than different entities.
Unpopular take, based on the way I was taught: geometry should *only* be about proofs.
When I learned, so long ago, we started proofs on day one and proved every new thing we learned, multiple proofs per day.
It left an indelible impression on how connected all math is.
When I learned, so long ago, we started proofs on day one and proved every new thing we learned, multiple proofs per day.
It left an indelible impression on how connected all math is.
November 8, 2025 at 10:34 PM
Unpopular take, based on the way I was taught: geometry should *only* be about proofs.
When I learned, so long ago, we started proofs on day one and proved every new thing we learned, multiple proofs per day.
It left an indelible impression on how connected all math is.
When I learned, so long ago, we started proofs on day one and proved every new thing we learned, multiple proofs per day.
It left an indelible impression on how connected all math is.
Anything that is commonly taught using a mnemonic. I have to unteach all that before they can make sense of it. FOIL, PEMDAS, SOCAHTOA, all of that shit.
November 8, 2025 at 6:17 PM
Anything that is commonly taught using a mnemonic. I have to unteach all that before they can make sense of it. FOIL, PEMDAS, SOCAHTOA, all of that shit.
Cramer's rule. I have yet to meet a single teacher who can explain WHY it works, without resorting to stuff that is beyond the scope when we teach it.
November 8, 2025 at 6:13 PM
Cramer's rule. I have yet to meet a single teacher who can explain WHY it works, without resorting to stuff that is beyond the scope when we teach it.
Percentages.
The way we teach them seems to unravel any proportional understanding they might have.
The way we teach them seems to unravel any proportional understanding they might have.
November 8, 2025 at 6:11 PM
Percentages.
The way we teach them seems to unravel any proportional understanding they might have.
The way we teach them seems to unravel any proportional understanding they might have.
Consider it CC BY-NC-SA.
creativecommons.org/licenses/by-...
creativecommons.org/licenses/by-...
Deed - Attribution-NonCommercial-ShareAlike 4.0 International
- Creative Commons
creativecommons.org
November 4, 2025 at 10:12 PM
Consider it CC BY-NC-SA.
creativecommons.org/licenses/by-...
creativecommons.org/licenses/by-...
I got nerdsniped into trying to make this work for any polygon surrounding the origin. This gets a little silly (there's a hidden animated radius sweep to show the components):
#iTeachMath #MTBoS #Desmos
www.desmos.com/calculator/c...
#iTeachMath #MTBoS #Desmos
www.desmos.com/calculator/c...
Desmos | Graphing Calculator
www.desmos.com
November 4, 2025 at 7:44 PM
I got nerdsniped into trying to make this work for any polygon surrounding the origin. This gets a little silly (there's a hidden animated radius sweep to show the components):
#iTeachMath #MTBoS #Desmos
www.desmos.com/calculator/c...
#iTeachMath #MTBoS #Desmos
www.desmos.com/calculator/c...
Resembles college but without a degree which hinders their opportunity to find commensurate employment elsewhere.
Educational version of a company town...
Educational version of a company town...
November 2, 2025 at 1:38 PM
Resembles college but without a degree which hinders their opportunity to find commensurate employment elsewhere.
Educational version of a company town...
Educational version of a company town...
What are grades but a means of oppression?
(They certainly aren't very good at providing feedback on learning and understanding, especially if lobbying for different grades is a regular part of the process.)
(They certainly aren't very good at providing feedback on learning and understanding, especially if lobbying for different grades is a regular part of the process.)
October 31, 2025 at 12:07 PM
What are grades but a means of oppression?
(They certainly aren't very good at providing feedback on learning and understanding, especially if lobbying for different grades is a regular part of the process.)
(They certainly aren't very good at providing feedback on learning and understanding, especially if lobbying for different grades is a regular part of the process.)
Especially not if they're keeping their own faces covered.
October 31, 2025 at 11:55 AM
Especially not if they're keeping their own faces covered.
Nope. And I'm for sure not prepared for whatever the next thing they've got planned for us either.
October 29, 2025 at 1:13 AM
Nope. And I'm for sure not prepared for whatever the next thing they've got planned for us either.