I’ll be giving a 5 minute warmup talk for this event tomorrow talking about “subtractagons”. Hope to see you there!

A8 I think classrooms where math belonged to everyone would be less focused on comparison and more focused on growth. They would feel more like an art or music class where the joy is more in doing the craft rather than worrying about who is doing it best. #ElemMathChat

A7 I wish there were more metrics we tracked than just standardized tests. If we view meaningful math as a human right, we would also be measuring joy, excitement, growth, and if students every used math in ways to build things, or to solve problems that were meaningful to them. #ElemMathChat

A6 I think open ended math talks like “Notice & Wonder” are a great way affirm math as a human right for all students, especially those who have been historically marginalized or excluded. Allowing students to bring their own words and experiences to math is inviting and empowering. #ElemMathChat

A5 I think there are ways to make math exciting and rich at every level. A big fault in a lot of classrooms/curricula is to leave the exciting things in math until after somebody has mastered something. Letting all students have exciting math experiences promotes a sense of belonging. #ElemMathChat

A4 If math is a human right, it is educators’ responsibility to find a way to connect with and reach all students at an appropriate level. It is definitely sad to see any population of students left behind in any subject. #ElemMathChat

A3 I would define meaningful mathematics as using math confidently to describe something, build something, or solve a problem. I would also say experiencing joy while doing or experiencing math is very meaningful too. #ElemMathChat

A2 The phrase “math as a human right” make me initially think of having a baseline knowledge that allows you to navigate the world fluently understanding math you encounter. But also experiencing the joy of using math to solve even small problems and witnessing the beauty of math. #ElemMathChat

A1 I value my students having fun, and feeling a sense of accomplishment and growth. I think my students with disabilities value the same things, but also I think being heard and catered to and not left behind. #ElemMathChat

A0 Excited to be here! I am from NM originally but in Los Angeles now, I am a teacher, artist, and co-founder of the math education app Tile Farm, and have gone for some great bike rides this week. #ElemMathChat

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**overheard at Starbucks** Customer: “What’s the wifi password?” Barista: “1-3-5-7-9. All the odd numbers.” C: “That’s a lot of numbers to remember.” B: “It’s a pattern. Once you see it, it makes sense. But until then, it’s just a bunch of numbers.” Friggin’ profound advice re: math education.

Double take font. Penrose Geometric font based on Penrose triangle. www.myfonts.com/collections/...

I arguably spent too much time this morning trying to make a hat tile bucket of popcorn in Tile Farm Studio. #iTeachMath #tessellation #tileFarm #hatTile

#mathPhoto25 #angles Always loved all of the angles in baseball fields and their grass.

A post for the 10th annual World #Tessellation Day: mathhombre.blogspot.com/2025/06/worl... my favorite kind of #mathart.

#MathPhoto25 #Symmetry Here’s a pair of shoes I designed in Tile Farm Studio. The underlying pattern relates to the subtraction of fractions, geometric series, and the Euclidean Algorithm, and is a highly symmetric 42 sided polygon, but I colored it asymmetrically. #iTeachMath #TileFarm

A #square geometric pattern on the side of a barn in Western Pennsylvania. I recently learned this is a “Pennsylvania Dutch Barn Star”, and they have been a fairly important part of Pennsylvania Dutch culture for centuries. #MathPhoto25

Made a Dodgers jersey using a simple cryptographic font (a=1 square, b=2 squares etc.). Designed in Tile Farm Studio, then used a cricut machine to cut the design with iron on vinyl. #iTeachMath #cryptography #TileFarm #Cricut #Dodgers #MookieBetts

I love the em-dash but now feel I can't use it because people will think my writing was AI-generated. I saw a "how to detect AI" video—yes, on TikTok—saying if you see an em-dash, you can be 99.99% sure the writing was AI-generated. ("To get an em-dash, you don't press one key, or two, but three!")

Working on a 50 states art collection that I’m curating from patterns made in Tile Farm studio. Students will be able to collect these. Can you tell what state this is for? If US based, what image or symbol would you want for your home state? #iTeachMath #mathArt #geometry #tileFarm

The new pope has a BS in mathematics from Villanova, which explains how he was so successful at becoming the largest cardinal.

Friday is a very special day as it is 5/9/2025 and 5^2 * 9^2 = 2,025. This image is that illustrated visually in Tile Farm Studio. Good question for you or your students: when was the last time the day squared times the month squared equaled the year? #iTeachMath #Math #TileFarm #PerfectSquare

Frequency chart of pentomino pieces, tilings 5x4 to 5x12. Interesting to see which pieces are "more popular" until "equal status" in the 5x12. Didn't expect 5x7 - 5x11 tilings to exceed the number of tilings for 5x12. @triangleman.bsky.social - giant pentominoes at Math On A Stick this summer?

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Is anybody talking about the date being the first three primes squared? 2² 3² 5² 4 9 25 some of y'all will read everybody's horoscope w/o any month day year numerology smh!!! #iTeachMath ♾️🧮 #MathSky

Colorized the 5x4 pentominoes from isomerdesign.com/Pentomino/5x... Just trying to vibe with the various tilings of very non-convex pieces and not so/not non-convex pieces. No "X" piece though. What a fun little set to ponder.

#MathArtMarch day 31, “change”. Using the substitutions shown below, how can you get from dodecagon A to dodecagon B? It’s fun to try yourself, but a solution is shown in comments. Credit to my dad for coming up with the concept of “flipping pentagons”. #tilefarm #patternblocks #iteachmath

#MathArtMarch day 30, “game”, here’s some chess pieces I designed and built a few years back. All the pieces are composites of various sizes of square prisms. This started as a one day project and turned into a many months project.

#MathArtMarch day 29, “unsolved”. How many different side-length 1 dodecagons can be made from classic pattern blacks? What’s your estimate?

#MathArtMarch day 28, “quadrilateral”. A favorite dodecagn you can make out of quadrilaterals with basic pattern blocks. #TileFarm #iTeachMath

#MathArtMarch day 27: tangled. “Tangled Rectangles” made by Emily Bucholz using Tile Farm Studio as part of a polygon puns art series. #TileFarm #iTeachMath

#MathArtMarch Day 27: Tangled Tangled and Embrangled Hair Day #MathArt

#MathArtMarch day 26, “choice”. A break from Tile Farm content to share a haiku I wrote about choice, and coincidentally yesterday’s prompt, “chaos”. #poem #todolist #haiku

#MathArtMarch day 25, “chaos”. Made with dotted squares in Tile Farm Studio. What’s your estimate for total number of dots? #TileFarm #iTeachMath #Estimation

#MathArtMarch day 24, “equal”. A simple way of visualizing 7*8 = 8*7 in Tile Farm Studio. #TileFarm #Multiplication #iTeachMath

#MathArtMarch day 22, “hexagon”. Here are some nice regular hexagons made out of 30-60-90 triangles. #TileFarm #MathArt #Math #iTeachMath

#MathArtMarch #font As a kid, I loved the ambigrams in Scott Kim’s book Inversions, but also all the cool font, symmetry, and perception stuff at the end. It always bugged me that I couldn’t find a decent 180° flip for SUSAN. But then I remembered his other tricks, and devised this logo.

#MathArtMarch day 21, “font”. Just in time for spring, here’s a honeycomb font made in Tile Farm Studio. #TileFarm #MathArt #iTeachMath

A1 #ElemMathChat I am biased because I helped create alongside my dad and brother, but I love Tile Farm!

#MathArtMarch day 20, “repetition”. A tessellation with both inward and translational repetition. This is a variation of the truncated hexagon tiling, but the dodecagons and triangles are made out of infinite geometric series of triangles, or “subtractagons” as we call them. #TileFarm #MathArt

#MathArtMarch day 19, “42” (second submission because I just had to). 42 representations of the number 42 made by a bunch of different people in Tile Farm Studio. #TileFarm #iTeachMath #Math #MathArt

#MathArtMarch day 19, “42”. Did you know a 42 sided polygon is the largest regular polygon that will fit around a vertex with other regular polygons (fits with 7 and 3 sided)? Here it is represented visually in Tile Farm Studio. #TileFarm #iTeachMath

#MathArtMarch day 17, “symmetry”. Here are the 11 symmetries of regular dodecagons you can make with classic pattern blocks (D12, D6, C6, D4, C4, D3, C3, D2, C2, D1, C1). #TileFarm #Dodecagon #PatternBlocks #iTeachMath #Symmetry

#MathArtMarch day 16, “connected”. This shows the connection between the snub squares Archimedean tiling and the Cairo tiling using the same grid of right triangles colored with different pallets. #TileFarm #CairoTile #iTeachMath

#MathArtMarch day 15, triangle. One favorite discovery in Tile Farm Studio is that you can make a regular polygon out of any two adjacent “fraction triangles”. Here is a 72 sided polygon made out of 1/8 and 1/9 fraction triangles. We call these shapes subtractagons. #TileFarm #mathArt #triangle

#MathArtMarch day 14, “irrational”. From the highly rational adding of squares, comes the Fibonacci flag with an irrational aspect ratio (the golden ratio). #TileFarm #MathArt #Rectangle #iTeachMath

#MathArtMarch day 13, “zero”. Here is an alternative cover for the hit single “Zero” from the Smashing Pumpkins 1995 Album “Mellon Collie and the Infinite Sadness”. #SmashingPumpkins #Zero #Math #TileFarm

#MathArtMarch day 13, “on an iso grid”. This is one of my favorite patterns from the Alhambra, recreated in Tile Farm Studio. It is super fun to make the seed tile, then see how they interlock together when you multiply it into a tessellation. #tessellation #mathArt #TileFarm #Alhambra #iTeachMath

#MathArtMarch day 11, “proof”. This is a very simple visual proof that the thinner rhombus in classic pattern blocks is half the area of the square. #TileFarm #iTeachMath #Pentagon #PatternBlocks