I’m going to start calling non-commutative groups “abelian’t.”

#HoagieHomies : it's more than a hashtag, people

PRIMUS@readprimus.bsky.social · 4mo ago

"Humanizing Defining in Mathematics with Sandwiches" by Katz, Lewis, Bagley, Bockting-Conrad, Ho, Libertini, Owens, Pilgrim, Salomone & Shillito about modeling disciplinary and pedagogical practices. www.tandfonline.com/doi/full/10....

Giving students extra credit if they use \varepsilon instead of \epsilon on their LaTeX assignment

I think Harvard's plan to respond to the every-decade moral panic about grade inflation by capping A's is pedagogically obscene. Grades should be a measure of learning, not competition. Grade caps engender competition and anxiety where we should be teaching collaboration and a love of learning.

I feel this. I've had to return to handwritten exams, and I kind of hate it.

Charlotte Lydia Riley@lottelydia.bsky.social · 5mo ago

AI is going to trash every single way that we had modernised university teaching and send us back to handwritten exams and vivas for every assessment. Which will bring back every problem with those assessment models (and make us seem even more out-of-touch even as we just try to do meaningful work).

AI is going to trash every single way that we had modernised university teaching and send us back to handwritten exams and vivas for every assessment. Which will bring back every problem with those assessment models (and make us seem even more out-of-touch even as we just try to do meaningful work).

Joseph Rezek@rezekjoe.bsky.social · 5mo ago

These evil mfs

Complex function domain-colouring of roots of unity, in @desmos.com Here's the graph: www.desmos.com/3d/hadt9rebbe They recently enabled colouring a surface using functions, so far only in 3D grapher. Side-effect: allows complex domain colouring, using 3D tool as a 2D one! #iTeachMath #MathSky

Question for anyone who's taught multivariable calculus (without line/surface integrals — just up through multiple integrals). If you were to choose a "capstone" topic that ties multiple topics together, what would you choose? Teaching the Calculus sequence again soon and trying to plan ahead.

WOOHOO! Our sandwiches paper has been published! 🥳 ...in celebration, I'm going to claim that tonight's lasagna was a sandwich. 🥪

Brian P Katz (BK)@thewordninjabk.bsky.social · 7mo ago

My newest paper about defining sandwiches is out! @drew-lewis.com @sbagley.bsky.social @annemho.bsky.social Mary, Jessica, Bill, @matthematics.com Kate, Sarah www.tandfonline.com/doi/full/10....

Teaching logic tomorrow ... with Clue!

It’s ironic that the people who seem to be able to benefit the most from AI tools are the ones who don’t actually need them.

Peter Williams@mathsimpact.bsky.social · 7mo ago

I'm gonna keep banging this drum: AI is a useful tool for an expert, it can provide shortcuts and efficiencies in the same way as many other tech tools do. AI is a massive problem for anyone inexpert, because it makes stuff up. If you lack expertise you just can't tell how good the output is.

As my contribution to sharing subtraction strategies, here's how I do subtraction nowadays, using negative numbers! Made this up on the fly way back when I first started tutoring because I couldn't remember how to do multiple borrowing anymore and I never liked the lie of "you can't take 3 from 2".

Howie Hua@howiehua.bsky.social · 7mo ago

A good subtraction strategy

Deviled eggs for New Year's Eve!

We are aware of an ongoing situation concerning our GitHub organization and Discord server (both of which have been deleted) and are working on resolving this as soon as possible. In the meantime we have setup discord.gg/fGG4TFSdKh as a new home on Discord for our community, come join us there!

Had a dream last night… except the main thing of the dream was that I stayed in bed until like 4 PM. There were other things going on too, but I think someone is trying to tell me to get more sleep. 😂

🙂‍↔️🫸 Calculus II exam 😎👉 Series finale

Most underrated video game villain.

For today’s Advanced Topics test I wrote my own @joeldavidhamkins.bsky.social -style question 😁 #iteachmath #MathSky

Anyone have any idea where I can find a direct reference to the following quote? Especially in its original script? I want to verify the translation. "Anantam api sankhyaatmakam iti budhyate. / Through numbers, even the infinite can be understood." — Madhava of Sangamagrama

Students who take AP Statistics are 3x more likely to be able to tell the difference between correlation and causation.

Which of these is an "A"? Why? #Grading Image source: www.mpusd.net/apps/pages/i...

You kids and your six trig functions. Back in my day we had only one, and we used it for everything. sin(θ) sin(π/2 - θ) sin(θ)/sin(π/2 - θ) 1/sin(θ) 1/sin(π/2 - θ) sin(π/2 - θ)/sin(θ)

If you'd never seen the definitions for the dot product and the cross product, how might you have invented them for yourself? Who took two vectors, thought "I wonder how I multiply these", and came up with ... those? I've been toying with this since yesterday and would love to hear other thoughts.

Hey @desmos.com, any plans to have Desmos be able to choose between the math convention and the physics convention for θ and φ as a quick toggle? I've taught both math majors and physics majors, and it would be nice to allow them to choose the convention that their field uses. 🙂

How to graph y = cosh x: TI-84 CE: 1. Press [Y=]. 2. Press [2nd] [0] (CATALOG). 3. Press [PRGM] (C) to skip to the C functions. 4. Scroll down until you find cosh( and press [ENTER]. 5. Type the rest of the expression and press [GRAPH]. @desmos.com: 1. Type y = cosh x.

There's a part of math history that mystifies me. We used to have a whole bunch of interesting named curves — cissoid, tractrix, strophoid, involute, pedal curve, and so on. Now they've mostly been relegated to quaint examples in math textbooks. Why were these relevant? And what happened to them?

Question for anyone that teaches Calculus I. (Been asking this in a few chats.) What's the point of having students learn about the normal line? What's it good for specifically? (And "they'll see normals again in Calculus III" doesn't count.)

This was the exact moment I learned it's called "maths" across the pond.

Ah yes, the four basic operations: addition, subtraction, checkmark, and multiplication.

Cool thing I just realized about f-means! If deg(f) < deg(g), then the f-mean of a data set is less than the g-mean. So since f(x)=log x has "degree" 0 and g(x)=x has degree 1, the geometric mean is less than the arithmetic mean. (I always forget which way it goes — now I'll always remember!)