All reasons why I love it too - I have a book of visual 'proofs' (several aren't technically proofs but still good to look at) of Pythagoras that I love showing students.

And here’s a great example. The researchers state that the AI tools ‘generate valid references’ because- and this is WILD- ‘although some of the references did not exist, the percentage of valid references generated was more than those that were hallucinated.’ THIS IS NOT A STANDARD, FOLKS.

Cryptarithms by nrich

nrich.maths.org/problems/cry...

Just so satisfying.

Don Steward's Small Data Set Averages Problems

donsteward.blogspot.com/2017/08/smal...

There's something about how the top rows develop in challenge that is glorious.

I've never taught averages without using them.

They pair excellently with @studymaths.bsky.social's mathsbot.com/manipulative...

Yes! I find students are often confused by the idea ("How can I know, I haven't done the question yet?") but it reinforces the idea that they might have something interesting to contribute, not just the answer.

Do love me an idnitty.

For interest, I put the same query to Gemini. Oh dear ....

Why the determination to subtract in the fractions section?

"Middian". "Succoss". The (finally) correct version of Pythagoras with an incorrectly labelled triangle.

Oh yes, golden!