A rare Anti-Betteridge's Law example...

Lovely exercise

Also has a nice geometric interpretation if you look at a point moving around a circle!

Yes - I was picturing a step function which then gives too much flexibility to categorise them all!

*continuous functions?

This is a lovely question!

Wolfram|Alpha Examples: Demographics & Social Statistics Wolfram|Alpha's data on demographics and social statistics covers topics ranging from health care, business, crime, education, income and employment to language, marriage, geographic mobility, voting ...

Don't overlook @wolframresearch.bsky.social, for example: www.wolframalpha.com/examples/soc...

Christmas card 2024 As usual, I spent some time this November, designing this year's Chalkdust puzzle Christmas card (with some help from TD).

The online version of the @chalkdustmag.bsky.social 2024 Christmas card is now available at mscroggs.co.uk/blog/112.

It includes a link to a printable A4 version (@teachers: this can fill an end of term maths lesson!)

You can also still buy physical cards at mscroggs.co.uk/cards.

Julia 2

With the new complex mode, we can do some more fun things, like this low-res Julia Set viewer! www.desmos.com/calculator/p... #mathsky #iteachmath

I hadn't seen these before - thanks for the recommendation

Great! You can check out the book here for free: www2.math.upenn.edu/~wilf/Downld...

This is lovely from @phillipsexeter.bsky.social : www.exeter.edu/wp-content/u...

Generatingfunctionology
Linear Algebra Done Right
How does one cut a triangle?
Graph theory
Pinter's Abstract Algebra

Infinite series: not quite as weird as some would say Updated with a third footnote clarifying my use of the term "diverge," thanks to suggestion by Evelyn Lamb, who has also written an excellent discussion of the problem with the video.  At the end of t...

Just saw that discussion of the weird and seemingly paradoxical mathematical result,

1+2+3+4+... = -1/12

is making the rounds again; I wrote an explanation of it that discusses how all is not as it appears some years ago.

skullsinthestars.com/2014/01/18/i...

I always liked the sum squared mark as an elegant way to reward more complete solutions

Math Game Monday: Exponent Pickle This game challenges students to think creatively about exponents and orders of magnitude. Many parents remember struggling to learn math. We hope to provide a better experience for our children. And ...

Denise shares a HS variation from when Joe Schwartz and I were doing pathway games. This one is a real brain challenge and lets students play with exponents. denisegaskins.com/2024/08/26/m... #mathgame

When A.I.’s Output Is a Threat to A.I. Itself As A.I.-generated data becomes harder to detect, it’s increasingly likely to be ingested by future A.I., leading to worse results.

On the AI degredation problem:
www.nytimes.com/interactive/... [gift article]

Excellent from James Timpson - important thoughts about leadership

Oops, I forgot… Welcome to Oops, I forgot… ! This page represents my ongoing attempt to curate a collection of ideas of a task structure that I invented while playing with teaching moves that instigate, ampl…

A really lovely idea and set of tasks from @natbanting and others - Oops, I forgot... natbanting.com/oops-i-forgot/

It feels right - the proof is quite nice, too

How Base 3 Computing Beats Binary | Quanta Magazine Long explored but infrequently embraced, base 3 computing may yet find a home in cybersecurity.

Another lovely article from @quantamagazine.bsky.social www.quantamagazine.org/how-base-3-c...

You forgot big eyebrows