正7角形を並べてみると？──普通の会社員がarXivに論文を投稿する1年前の話｜平野たいる｜MathKonnect こんにちは、平野たいる（@tairu_mk）です。 前回の記事は、初投稿ながら想像を遥かに超える反響をいただき、ありがとうございました。本稿において前提としている部分もあるため、未読の方はそちらを先に読んでいただけますと幸いです。 また、前回の記事がきっかけとなり、arXivに投稿した論文の解説記事がITmediaに掲載される運びとなりました。重ねてありがとうございます。 日本の会社...

Miko Imura/Hirono Tyle shared a blogpost on this cool heptagon based #tessellation. note.com/tairu_mk/n/n... (in Japanese, but translates well.)

Thank you, John!

Thanks!

Thanks! Do you have anything shareable from your talk?

Would love a super-simple way to trace.

That’s what happened to one of my articles as well.

After the 100th time of showing the video of the shooter jumping off the roof, we decided it was time to turn off MSNBC. Even without the Kirk story, you are covering less and less news every night. Bad journalism.

The instruction “Count the dots in two different ways” and three copies of the same pattern of dots. Next to each one a calculation has been written - these were answers from different students. The patterns have then been annotated to show other students’ guesses as to how they arrived at these calculations.

Taught my first #MathsToday lessons of the year! I forgot how much fun this topic is with Year 7. Today we played “guess the method from the calculation”.

Next week, I'm giving a talk at the @momath.bsky.social MOVES conference on the purely probabilistic dice game Left Center Right. Rather than creating slides to explain the rules, I decided to try "vibe coding" to see what I could create using AI. Here it is divisbyzero.github.io/Left-Center-...

Three partially shaded congruent rectangles, with unshaded triangles connecting some of the corners.

The three rectangles are congruent. What fraction of the design is shaded?

#geometrypuzzle

Some fun with number bases (2 through 10) in my latest Sine of the Times blog post: www.sineofthetimes.org/more-fun-wit...

Lots of…
Ooo,
But,
No
Wait
as we explored the statement, ‘Any quadrilateral can be made from two triangles’ in #MathsToday

A blue triangle on top of a purple one, inside a semicircle. The side length of the purple triangle is 4.

These triangles are congruent and isosceles. What’s the area of the semicircle?

#geometrypuzzle

What’s your weird obsession with headlines that begin, “Here’s the 1…”? I suppose you think we only have the attention to read one piece of information before we get bored.

Still a work in progress: www.geometricfunctions.org/fc/unit2/mys...

A big green square and three little white ones. A pink line joins the corner of one the white squares to a corner of the green one.

Four squares. What’s the angle?

#geometrypuzzle

We have some good Web Sketchpad-based tech explorations here: www.sineofthetimes.org/category/geo...

Cracking the Strategy A fourth-grade window seat to line plots and dot paper fractions

NEW post: Cracking the Strategy, when a 4th grader explains her thinking
fawnnguyen.substack.com/p/cracking-t...

Part of this triangle has been shaded orange.

What fraction of the triangle is shaded?
#geometrypuzzle

A design made of four quarter circles, which is partially coloured pink.

Four quarter circles. What fraction is shaded?
#geometrypuzzle

Dot Paper Task A low-tech task with high-level thinking

One of those heart-FULL teaching days:

New post: open.substack.com/pub/fawnnguy...

Star Patterns - a Mathart Lesson One of my favorite courses to teach is our embedded elementary whole number and operation teacher prep course. Typically they teach every co...

New blogpost on a #mathart lesson we did with preservice teachers and 1st and 2nd graders with some string art type patterns. mathhombre.blogspot.com/2025/05/star... #teachered

Elipso - Ellipse Drawing Tool Inspired by the Archimedes Trammel, we present to you Elipso. A solid brass, scalable ellipse drawing tool.

This was a no-brainer for me when it came to funding this project on Kickstarter. www.kickstarter.com/projects/bra...

A 'flip' but probably easier than a 45˚ reflection

Are You Smarter Than A.I.? Some experts predict that A.I. will surpass human intelligence within the next few years. Play this puzzle to see how far the machines have to go.

Kudos to @nytimes.com for covering ARC-AGI in such an exquisite example of interactive data journalism. Amazing spot for @fchollet.bsky.social as well.
www.nytimes.com/interactive/...

A photo of a poem titled, "To a student who used AI to write a paper." Now I let it fall back in the grasses. I hear you. I know this life is hard now. I know your days are precious on this earth. But what are you trying to be free of? The living? The miraculous task of it? Love is for the ones who love the work.

for a student who used AI to write a paper #poem

Look at this! Taken from Satisfraction, the new book from @profsmudge.bsky.social which is available to order now.

atm.org.uk/Shop/Satisfr...

And lots of K-5 uses for its successor, Web Sketchpad: www.sineofthetimes.org/a-compendium...

How Alabama students went from last place to rising stars in math Alabama is the only state where 4th-grade math scores are higher now than they were in 2019, before the pandemic. This is the story of how the state pulled it off.

Mostly encouraging www.npr.org/2025/03/17/n...

Go For Geometry! 5 Using Dynamic Technology to Build Understanding ◊ Episode 5: Marvelous Midsegments ◊ Welcome to Episode 5, where we take the scenic route in our geometry journey. What happens when we find midpoint…

New blog post! "Marvelous Midsegments" Go For Geometry! Episode 5.
Activities exploring on all technology platforms: Desmos, GeoGebra & TI calculators.
Taking the scenic route 😉
#geometry #MTBoS #iTeachMath #MathsToday

karendcampe.wordpress.com/2025/03/16/g...