Carl
@mathowitz.bsky.social
Former HS Math teacher looking for my next role. I write about math, education, music, food, parenting, travel, tinkering... all with a side of snarkiness, sarcasm and self-deprecation.
Doing its nightly transition from 67 (my son just saw this and is doing the token 10yo reaction) to 64.
November 12, 2025 at 3:57 AM
Doing its nightly transition from 67 (my son just saw this and is doing the token 10yo reaction) to 64.
You're forgetting that the current admin does everything to line pockets of the haves... for them, these plans are great.
For the rest of us? They're awful...
For the rest of us? They're awful...
November 12, 2025 at 12:25 AM
You're forgetting that the current admin does everything to line pockets of the haves... for them, these plans are great.
For the rest of us? They're awful...
For the rest of us? They're awful...
There is an alternative broadcast, it's called "life" or changing the station or Red Zone...
November 11, 2025 at 11:59 PM
There is an alternative broadcast, it's called "life" or changing the station or Red Zone...
yes.
A quadrilateral consists of 4 points
A triangle of 3
Given a finite number of points (>7) then nC4 is larger than nC3.
A quadrilateral consists of 4 points
A triangle of 3
Given a finite number of points (>7) then nC4 is larger than nC3.
November 11, 2025 at 9:37 PM
yes.
A quadrilateral consists of 4 points
A triangle of 3
Given a finite number of points (>7) then nC4 is larger than nC3.
A quadrilateral consists of 4 points
A triangle of 3
Given a finite number of points (>7) then nC4 is larger than nC3.
The loooong game.
Here i was thinking they were just trying to line the pockets of the financial institutions, but yeah, doubles as generational debt.
Also- haven't seen this bluesky notice before....
Here i was thinking they were just trying to line the pockets of the financial institutions, but yeah, doubles as generational debt.
Also- haven't seen this bluesky notice before....
November 11, 2025 at 3:59 PM
The loooong game.
Here i was thinking they were just trying to line the pockets of the financial institutions, but yeah, doubles as generational debt.
Also- haven't seen this bluesky notice before....
Here i was thinking they were just trying to line the pockets of the financial institutions, but yeah, doubles as generational debt.
Also- haven't seen this bluesky notice before....
I took Physics for engineering my freshman year of colelge. Kid in my group had taken physics and then AP physics in HS. He was great when it was stuff he'd seen before, but absolutely clueless when it required applying his understanding.
November 10, 2025 at 8:23 PM
I took Physics for engineering my freshman year of colelge. Kid in my group had taken physics and then AP physics in HS. He was great when it was stuff he'd seen before, but absolutely clueless when it required applying his understanding.
(I'd also consider giving a challenge problem outside the scope and then have the groups work through it together and have him struggle on his own... but i'm an ass and feel that sometimes lessons can't be taught and need to be experienced)
November 10, 2025 at 6:34 PM
(I'd also consider giving a challenge problem outside the scope and then have the groups work through it together and have him struggle on his own... but i'm an ass and feel that sometimes lessons can't be taught and need to be experienced)
It sounds like you've tried a collaborative approach to include him in this process. At this point, honestly, I'd consider removing him from group work by saying he's being a hinderance to the learning of his peers.
November 10, 2025 at 6:34 PM
It sounds like you've tried a collaborative approach to include him in this process. At this point, honestly, I'd consider removing him from group work by saying he's being a hinderance to the learning of his peers.
I tried to do a 3x3 in generality but messed it up somewhere.
It's definitely the case with 2x2s...
It's definitely the case with 2x2s...
November 10, 2025 at 2:48 PM
I tried to do a 3x3 in generality but messed it up somewhere.
It's definitely the case with 2x2s...
It's definitely the case with 2x2s...
(a-3)(a-1)(a+1)(a+3)=b²
(a²-9)(a²-1)
Which means that b² is a perfect square but also the product of 2 numbers which are 8 units apart, each 1 and 9 less than a perfect square. Can't happen with positive (or negative) a.
(a²-9)(a²-1)
Which means that b² is a perfect square but also the product of 2 numbers which are 8 units apart, each 1 and 9 less than a perfect square. Can't happen with positive (or negative) a.
November 10, 2025 at 8:40 AM
(a-3)(a-1)(a+1)(a+3)=b²
(a²-9)(a²-1)
Which means that b² is a perfect square but also the product of 2 numbers which are 8 units apart, each 1 and 9 less than a perfect square. Can't happen with positive (or negative) a.
(a²-9)(a²-1)
Which means that b² is a perfect square but also the product of 2 numbers which are 8 units apart, each 1 and 9 less than a perfect square. Can't happen with positive (or negative) a.
They gave the answer before the problem!
November 10, 2025 at 8:32 AM
They gave the answer before the problem!
Purely out of laziness (I didn't want to keep track of two scores) when playing games with my son, we have always just kept 1 number, one person adds, the other subtracts.
Negatives understood.
Negatives understood.
November 10, 2025 at 5:01 AM
Purely out of laziness (I didn't want to keep track of two scores) when playing games with my son, we have always just kept 1 number, one person adds, the other subtracts.
Negatives understood.
Negatives understood.
Yup, I have to do the whole progression too
It's asking for the derivative of f-inverse at a.
That's the dependent variable on f-inverse so (a,_) is on f-inverse
Which means (_,a) is on f
I need to find _.
It's asking for the derivative of f-inverse at a.
That's the dependent variable on f-inverse so (a,_) is on f-inverse
Which means (_,a) is on f
I need to find _.
November 10, 2025 at 2:37 AM
Yup, I have to do the whole progression too
It's asking for the derivative of f-inverse at a.
That's the dependent variable on f-inverse so (a,_) is on f-inverse
Which means (_,a) is on f
I need to find _.
It's asking for the derivative of f-inverse at a.
That's the dependent variable on f-inverse so (a,_) is on f-inverse
Which means (_,a) is on f
I need to find _.
I wrote a mini matrices unit a month or two into Alg2... after we had done a good amount of solving systems (in 2, maybe 3 variables) it was a way to give them another tool so i could ask more involved system questions throughout the year and not having the algebra be the catch point
November 10, 2025 at 1:41 AM
I wrote a mini matrices unit a month or two into Alg2... after we had done a good amount of solving systems (in 2, maybe 3 variables) it was a way to give them another tool so i could ask more involved system questions throughout the year and not having the algebra be the catch point
I enjoy finding the derivative of an inverse implicitly.
I hate the formula mainly bc it comes down to vague notation of inverses & not being able to distinguish between is the given variable an x on f (y on g) or x on g (y on f)?
I just remember it as 1/f'(not the thing given), which is annoying
I hate the formula mainly bc it comes down to vague notation of inverses & not being able to distinguish between is the given variable an x on f (y on g) or x on g (y on f)?
I just remember it as 1/f'(not the thing given), which is annoying
November 10, 2025 at 1:31 AM
I enjoy finding the derivative of an inverse implicitly.
I hate the formula mainly bc it comes down to vague notation of inverses & not being able to distinguish between is the given variable an x on f (y on g) or x on g (y on f)?
I just remember it as 1/f'(not the thing given), which is annoying
I hate the formula mainly bc it comes down to vague notation of inverses & not being able to distinguish between is the given variable an x on f (y on g) or x on g (y on f)?
I just remember it as 1/f'(not the thing given), which is annoying
I've never explored why cramers works beyond a 2 by 2, but if I recall, the equations make total sense in solving a 2 variable linear by elimination in generality (ie- ax+by=c...)
(I used to teach a mini matrix unit a few months into Alg2 to help solve systems throughout the year)
(I used to teach a mini matrix unit a few months into Alg2 to help solve systems throughout the year)
November 9, 2025 at 10:15 PM
I've never explored why cramers works beyond a 2 by 2, but if I recall, the equations make total sense in solving a 2 variable linear by elimination in generality (ie- ax+by=c...)
(I used to teach a mini matrix unit a few months into Alg2 to help solve systems throughout the year)
(I used to teach a mini matrix unit a few months into Alg2 to help solve systems throughout the year)
(missed a critical *not* in there....IMO 9th and 10th graders are NOT prepared for the level of proofs many curricula/teachers ask for)
November 9, 2025 at 9:48 PM
(missed a critical *not* in there....IMO 9th and 10th graders are NOT prepared for the level of proofs many curricula/teachers ask for)
We eat in Denver for convenience. But if we want good, affordable food that I can't make, we go to Aurora.
www.foodandwine.com/aurora-color...
www.foodandwine.com/aurora-color...
This Denver Suburb Has Colorado's Most Diverse Food Scene
The Denver suburb launching an Aurora Borealis Festival this fall features global cuisines at restaurants, a food hall, and a marketplace, from Burmese to Vietnamese, Latin, Korean, Syrian, Nepalese, ...
www.foodandwine.com
November 9, 2025 at 5:34 AM
We eat in Denver for convenience. But if we want good, affordable food that I can't make, we go to Aurora.
www.foodandwine.com/aurora-color...
www.foodandwine.com/aurora-color...
There is a food hall here, like 6 little stands, all for refugees, so they can get their food out with minimal investment (stepping stone for a food truck or their own brick and mortar). It's fantastic. So many people are scared off by food they don't know (and bones).
November 9, 2025 at 5:13 AM
There is a food hall here, like 6 little stands, all for refugees, so they can get their food out with minimal investment (stepping stone for a food truck or their own brick and mortar). It's fantastic. So many people are scared off by food they don't know (and bones).
The best kind of places.
Interestingly enough, our closest "suburb" has some amazing "hole in the wall" ethnic (i hate that word) spots. Amazing food, people who care... makes me sad that some people are scared to try those kind of places...
Interestingly enough, our closest "suburb" has some amazing "hole in the wall" ethnic (i hate that word) spots. Amazing food, people who care... makes me sad that some people are scared to try those kind of places...
November 9, 2025 at 4:41 AM
The best kind of places.
Interestingly enough, our closest "suburb" has some amazing "hole in the wall" ethnic (i hate that word) spots. Amazing food, people who care... makes me sad that some people are scared to try those kind of places...
Interestingly enough, our closest "suburb" has some amazing "hole in the wall" ethnic (i hate that word) spots. Amazing food, people who care... makes me sad that some people are scared to try those kind of places...