Repost of @davidpetro314.bsky.social’s post sharing @natbanting.bsky.social’s slides about the “basics” of math from @OAMElearns #OAME2025 conference, now with ALT text.
#MathChat #MTBoS #iTeachMath

Exactly!!!

List of AI use cases, with “therapy/companionship” near the top.

This timeline feels like the last season of a prestige TV show. I can’t get over the irony that humanity is signing its own environmental death warrant by getting companionship from a computer.

Nikola Tesla would consider Elon Musk a moron.

💤

Happy caturday everyone. Meet “grey cat the stray cat” that has adopted us.

🌟Studying or teaching Complex Analysis? This online book might be useful:

complex-analysis.com

2024 new design and new sections, in celebration of its 5th anniversary 😃🎉 Share the ❤️love of #mathematics with your friends or colleagues.

#opensource #complex #analysis #visualization #learning

Mathematics: Sudoku as a Graph

Sudoku cells are like dots, and the rules are like lines connecting them, showing which cells can't share numbers. This allows mathematicians to use graph theory to analyze and solve the puzzle.

#bluesky #mathematics

List of the isomorphism theorems, with two subgroup lattices of groups of order 20, showing a subgroup and a quotient. Next to that is a picture of a cave with stalagmites and stalactites.

This week, I recorded 4 new videos on the isomorphism theorems.

I do them in a nonstandard order, but I hope to convince you that it's the most natural.

Please share, because every algebra student (and instructor!) should find this helpful!

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Turns out that I have the perfect mug for this!

#mathsky

We’ve been busy at the shop this week! Check the link to see what’s new: mailchi.mp/mysteriousbo...

yoda is sitting on the ground with a sword in his hand . ALT: yoda is sitting on the ground with a sword in his hand .

#matedu

“The notion of problem.”

A student isn’t really doing mathematics unless she is asking herself questions and solving problems. (Brousseau, 1997, p. 79)
#thinkingclassroom
#aulasparapensar

U.S. early-career researchers struggling amid chaos Uncertain funding, government firings, and distressed universities hit vulnerable groups especially hard

A whole generation of early career scientists and physician-scientists, including colleagues and myself, are particularly vulnerable to these funding freezes and cuts, with jobs and careers depending on federal grants.

#IDsky
#Medsky
#Episky

www.science.org/content/arti...

Fight the good fight, today and every day. ✊️

Happy Friday folks! 💛

Scientist eliminates HPV

Todays hero

What kind of social problem is wealth inequality? Is our societal “problem” the poor – or is it the rich? Should we be looking down, or do we need to look up? Ahead of her book launch event on 19 February, Sarah Kerr asks whether a new articulatio…

“Displacing poverty, centring wealth” – @wealtherty.bsky.social on the need for a new articulation of the problem of wealth inequality. Rather than poverty, should we foreground “wealtherty”? #LSEInequalitiesBlog

My message to the world

Self-care is self-discipline.

Wishing everyone a wholesome week ahead! ✨️💛

This image shows a rural farm egg sales setup in what appears to be the UK, given the price in British pounds (£). There's a sign advertising "Fresh Farm Eggs" with a simple chicken illustration, offering a half dozen eggs for £2.00. Below the sign is a black metal box mounted on a wooden post, containing several cardboard egg cartons. The box appears to be a self-service honor system setup where customers can take eggs and leave payment. The setup is against a traditional stone wall, and there's grass and what looks like a muddy path visible in the foreground. A padlock is visible on the box, likely to secure the money compartment. It's a charming example of local farm-to-consumer direct sales using an honor system common in rural communities.​​​​​​​​​​​​​​​​

This one goes out to all the Americans

We are sorry. Take him out, Please

In order to get rid of Income Tax which is what Donald Trump really wants to do, he will need to put a Tariff of 250% on everything, including the things made in the USA.

That is exactly what he will try to do.

If you support Mexico, like.
If you support Canada, RT.

Say no to Donald Trump and Elon Musk and watch their empire collapse.

Selfie with paperback of Is Math Real

Paperback of Is Math Real, with the LA Time Book Prize label on!!

Cayley graph of Aut(C7) with nodes labeled by rewirings of C7.

Cayley graphs of both nonabelian semidirect products of C5 with C4, each laid out two different ways: by rewiring edges, vs. relabeling nodes.

Cayley graphs of the four semidirect products of C8 and C2.

Cayley graph construction of the smallest nonabelian group of odd order: the semidirect product of C7 with C3.

I made two new #VisualAlgebra videos about semidirect products, that are done even before I introduce the concept of a normal subgroup. Check them out! #MathSky

Lecture 2.9: Semidirect products, intuitively
youtu.be/H_XFikkqrgg

Lecture 2.10: Examples of semidirect products
youtu.be/c2DL2Sk4-XY

Subgroup lattice of the symmetric group S_4 and five Cayley graphs: four on Archimedean solids and one of the Nauru graph.

Subgroup lattices of all five group of order 12, with their "towers of p-groups" colored, to illustrate the Sylow theorems.

Subgroup lattices and Cayley graphs of both semidirect products of C_5 and C_4. On the left, the lattice of D_5 appears at the bottom (it's a subgroup), but it appears at the top of the one on the right (it's a quotient).

The subgroup lattices of D_6 four times, highlighting three semidirect product decompositions, and one direct product decomposition.

New #VisualAlgebra video!

Lecture 3.2: Subgroup lattices
youtu.be/zDIsbKs16es

There are LOTS of fun pictures in here. I'm obviously biased, but I really think that this will be greatly beneficial to anyone taking or teaching abstract algebra. Check it out!

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