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benjamin dickman @benjamindickman.bsky.social · 9h

just lmk if/when you have more! there's no way these are the only 20 non routine quadratic problems accessible to alg ii & precalc students!

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benjamin dickman @benjamindickman.bsky.social · 9h

yeah you had the geometric approach I'd say (imagining reflections) and then a lot of quadratic stuff I've tried to do as student challenges involves thnking flexibly about the algebraic representations, i.e., can if be solved in standard, vertex, and factored form? those are the other three above!

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benjamin dickman @benjamindickman.bsky.social · 9h

this is what is linked via Desmos thru twittxr, no alt text atm bc it's screenshots of text but these are four methods I believed (at some point) could work

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benjamin dickman @benjamindickman.bsky.social · 9h

idk which was the easiest but definitely not that one lol

i think a few observations are helpful, like that f(1) is the sum of the coefficients, or that, from the vertex, quadratics go over one "up" a, then over one "up" 3a, then 5a, 7a, etc (ofc it's down if a<0) and that h is b/w two equal values

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benjamin dickman @benjamindickman.bsky.social · 9h

that's the dream 🙏🏻✨

fwiw i think problem 15 is my favorite

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benjamin dickman @benjamindickman.bsky.social · 10h

Bill Gates (often lauded for dropping out of school) says it's the perfect teacher or w/e, now SK got that spondulix HEAVY

benjamin dickman @benjamindickman.bsky.social · 10h

there's a related problem that says to prove e.g.

x(x+1)(x+2)(x+3) + 1

is always a square

since 2025 = 45², one could wonder if there is a nice solution in x for this year ... but there is not lol

finding the factorization can be done by pasting into Wolfram, but doing it by hand is fun-ner!

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benjamin dickman @benjamindickman.bsky.social · 10h

definitely random!! some are much "easier" than others

some of them have sample solutions in the folder with them, but i think i can remember or re-solve if you or others get too stuck on any

and something like the last one can be changed to ...=2025 or 2026

lmk if you spot/make similar fun ones!

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benjamin dickman @benjamindickman.bsky.social · 10h

living the dream tbh

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Reposted by benjamin dickman

benjamin dickman @benjamindickman.bsky.social · 13h

1pm Thursday is great timing for this session!

(if, unlike me, you're at NCTM Atlanta)

👇🏻

Jed @jedediyah.com · 14h

Getting pumped to present at @NCTM.org 2025!

Come to an awesome workshop on "Mathematics for Machine Learning and Artificial Intelligence". We'll play with dynamical systems and filters, feature engineer some classifiers, and talk about how not to AI.

#NCTM2025 #NCTMATL25 #mtbos #IteachMath #NCTM

Mathematics for Machine Learning and Artificial Intellgience
Jedediyah Williams, PhD
NCTM Atlanta 2025
Image in center of slide is a graph with the minimum spanning tree highlighted.

What is the math for AI and ML?
Discrete, Stats, and Computing.
Logic, Linear Algebra, Graph Theory, Set Theory, Combinatorics, Difference Equations, Recursion, Iteration

Two images of a cake, before and after filtering RGB pixel values.
Two histograms display the RGB distributions before and after the filter.

Try isolating different objects with the filter.
An RGB filter has sliders for red, green, and blue minima and maxima. An image shows the moon with robotic hardware before and after the filtering.

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benjamin dickman @benjamindickman.bsky.social · 13h

1pm Thursday is great timing for this session!

(if, unlike me, you're at NCTM Atlanta)

👇🏻

Jed @jedediyah.com · 14h

Getting pumped to present at @NCTM.org 2025!

Come to an awesome workshop on "Mathematics for Machine Learning and Artificial Intelligence". We'll play with dynamical systems and filters, feature engineer some classifiers, and talk about how not to AI.

#NCTM2025 #NCTMATL25 #mtbos #IteachMath #NCTM

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Reposted by benjamin dickman

benjamin dickman @benjamindickman.bsky.social · 3d

cc #iTeachMath ♾️!

Dave Kung @dtkung.bsky.social · 4d

Always fun to see the amazing people who win. Congrats to mathematician Lauren Williams on winning a MacArther genius grant!

www.macfound.org/fellows/clas...

Lauren K. Williams

Uncovering transformative connections between algebraic combinatorics and problems in other areas of math and physics.

www.macfound.org

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Reposted by benjamin dickman

benjamin dickman @benjamindickman.bsky.social · 21d

my favorite #sensemaking excerpt

from:
Kegan, Robert. The evolving self: Problem and process in human development. Harvard University Press, 1982.

preview in google books:
books.google.com/books?id=SP3...

not overtly about 'mathematics' per se but w/e
#iTeachMath ♾️ #MathSky 🧮

screenshot of text beginning "these days my daughter" and ending with "parenthood, friendship, and love"

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benjamin dickman @benjamindickman.bsky.social · 13h

reviewer 2:
that's 5 words lmao

benjamin dickman @benjamindickman.bsky.social · 16h

[digging through my twittxr archives]

do you want non-routine quadratic problems?

here are 20 💌:
www.desmos.com/calculator/d...

cc. #iTeachMath #MathSky #EduSky #AlgebraSky

Particular Parabola Problems

www.desmos.com

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benjamin dickman @benjamindickman.bsky.social · 18h

[profession: math education]

👻 standards by learning style 🎃

Marjorie James Keenan @unenthusiast.com · 1d

In honour of spooky month, share a 4 word horror story that only someone in your profession would understand.

rm -rf ~/

hammancheez @hammancheez.bsky.social · 1d

"The chancellor approved it"

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benjamin dickman @benjamindickman.bsky.social · 18h

11 minutes, i'm rejecting this post bc "i before e except after c"

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benjamin dickman @benjamindickman.bsky.social · 18h

same #2solve ... saw the right suffix for word 2 early but not the right prefix!

kept trying to solve w these words; alas!:

01000010 01010101 01010010 01001100 01000101 01010011 01010001 01010101 01000101 00100000 01000010 01010101 01010010 01000111 01000101 01001111 01001110 01010011

benjamin dickman @benjamindickman.bsky.social · 18h

it's often the second car from the front, it's labelled, anyone working on the train will know which car; it's no talking at all which is good for me (other people will sometimes engage in loud phone convos, not my favorite tho maybe palatable if you have headphones on). it's a thing 😆

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benjamin dickman @benjamindickman.bsky.social · 19h

that should be plus

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benjamin dickman @benjamindickman.bsky.social · 1d

decide whether you want to be on the quiet car... I always am because otherwise ppl are yapping away.

window seats often have easier access to outlets and the view.

i saw the other response about the bathroom quality - in my exp they're good and plentiful and way better than a bus with 0.

enjoy!!

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benjamin dickman @benjamindickman.bsky.social · 1d

two photos from the dead bird in the years of our Lorde 2019 & 2018

screenshot from twitter about singing mahna mahna

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benjamin dickman @benjamindickman.bsky.social · 1d

We sing this every year when learning about the L-tromino induction proof (it requires one monomino).

I even sing it in Algebra II with monomial.

Parents and families hate this one trick!

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benjamin dickman @benjamindickman.bsky.social · 1d

🥇 🤝 🏆

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benjamin dickman @benjamindickman.bsky.social · 1d

similarish (?) Sat #2solve if you switch the plosives:

01010000 01001001 01000011 01001011 01000101 01010100 01000101 01000100 00100000 01000100 01010101 01001101 01000010 01001100 01011001 00100000

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