A naked-eye astronomy unit for grades 4-12 I developed back in the 1970's. www.mathed.page/look/ It was written on an antediluvian computer and hand-illustrated, but it's free! #mtbos #iteachmath #mathed

New issue of my newsletter: www.mathed.page/newsletter/2... Interdisciplinary learning, habits of mind, story tables, plus lots of links. Subscribe! www.mathed.page/e-list.html #mtbos #iteachmath #mathed

Guest post by Frank Cassano and Anya Sturm: how to seamlessly integrate argumentation in curriculum and assessment. blog.mathed.page/2025/08/06/i... #mtbos #iteachmath #mathed

Recently took a class that deciphered the line work in an Alhambra tiling. I decided to color and weave it, too. Then went looking for a photo of the actual wall. Hard to find! Was so pleased to find a collection taken by @hpicciotto.bsky.social posted on www.mathed.page/symmetry/spa....

→ But now I wonder: is there a box with _two or three_ "pythagorean faces", _and_ a whole-number long diagonal? I haven't been able to find one. But to be honest, I probably didn't put enough time and energy into it. If you find such a box, let me know!

During a bout of insomnia, I asked myself: what should the height of a box with base 3 by 4 be, so that its long (internal) diagonal is a whole number? I found an answer, and in the morning was able to generalize it into a way to get a pythagorean quadruple from any triple. →

Integrating Problem Solving Seamlessly: A guest post by by Frank Cassano and Anya Sturm. www.mathed.page/teaching/ful... #mtbos #iteachmath #mathed

Possibly useful for π day Circle area (animation) www.mathed.page/construction... Leonardo's Areas www.mathed.page/puzzles/poly... π for regular polygons? www.mathed.page/geometry-lab... Taxicab π: www.mathed.page/geometry-lab... #mtbos #iteachmath #mathed

New post: Making Connections, disciplinary learning, Math and Art. blog.mathed.page/2025/02/28/m... #mtbos #iteachmath #mathed

I added teacher notes to "Leonardo's Areas", in (plenty of) time for π day. www.mathed.page/puzzles/poly... #mtbos #iteachmath #mathed

New on my website: Squaring Pentominoes, a dissection puzzle set using one-inch graph paper and scissors www.mathed.page/puzzles/squa... (Stealth application of the Pythagorean theorem.) #mtbos #iteachmath #mathed

New issue of my math education newsletter: Productive Struggle, π Day, Function Diagrams, Geometric Puzzles www.mathed.page/newsletter/2... Subscribe! www.mathed.page/e-list.html #mtbos #iteachmath #mathed

Possibly useful for Valentine's Day: Katherine Pauer's "Cutting Out Hearts" www.mathed.page/puzzles/hear... #mtbos #iteachmath #mathed

@johngolden.bsky.social Possibly of interest: www.mathed.page/alg-2/perspe...

@joshuakosman.bsky.social and @hpicciotto.bsky.social took their weekly cryptic crosswords from The Nation to Patreon a few years ago, and you can find them at www.patreon.com/c/leftfieldc...

New post: Asilomar Report. I share notes on sessions I attended (promoting student engagement; encouraging argumentation and problem solving; manipulatives), and my own session (reaching the full range of students). blog.mathed.page/2024/12/15/a... #mtbos #iteachmath #mathed #cmcnorth

I'm speaking at Asilomar, Sa Dec 7, Kiln, 3:40pm. Practical Strategies to Reach the Full Range of Students Kids learn at different rates: all classes are heterogeneous. I will share manageable ways to differentiate by time, not content — and other ideas from my book. #mtbos #iteachmath #mathed

I added “Geometric Puzzles for Prospective Math Teachers“, a chapter I contributed to a forthcoming book for profs of geometry to preservice teachers. It includes links to Tiling, Geometric Puzzles, and Geoboard materials on my website. www.mathed.page/get.html #mtbos #iteachmath #mathed

New post Making Struggle Productive: To learn important and difficult ideas requires students to engage intellectually, but denying teacher help may not yield the intended result! blog.mathed.page/2024/10/04/m... #mtbos #iteachmath #mathed

I sent out my e-newsletter: a summary of the blog posts and changes to my website in the past three months. Pentominoes, bots, proof, and more. www.mathed.page/newsletter/2... Subscribe! www.mathed.page/e-list.html #mtbos #iteachmath #mathed

New post: Proof in High School, in which I argue for teaching proof to high school juniors and seniors. blog.mathed.page/2024/09/09/p... #mtbos #iteachmath #mathed

You can now pre-order my book. www.routledge.com/There-Is-No-... The table of contents is on my blog: blog.mathed.page/2024/08/20/p... #mtbos #iteachmath #mathed

Another old post! Review: why? when? how? blog.mathed.page/2022/07/18/w... #mtbos #iteachmath #mathed

Old post! blog.mathed.page/2015/08/25/f... My 2015 thoughts about the first day of school. #mtbos #iteachmath #mathed

New post, promoting my upcoming book about math pedagogy. blog.mathed.page/2024/07/31/t... #mtbos #iteachmath #mathed

blog.mathed.page/2024/07/19/w... Working with Pentominoes: updating a 2013 post about my pentomino materials. #mtbos #iteachmath #mathed

New post: Can Bots Teach Math? Where I add to Dan Meyer's response to Sal Khan's latest. blog.mathed.page/2024/07/10/c... #mtbos #iteachmath #mathed

How does one follow people? I used to know.

New issue of my newsletter: www.mathed.page/newsletter/2... New books, new posts, tangrams, data science, Pythagorean theorem, geometric puzzles, etc. #mtbos #iteachmath #mathed

Tangram Puzzles: new blog post, announcing a new book, and spelling out the principles that guided me in creating it. blog.mathed.page/2024/06/21/t... #mtbos #iteachmath #mathed

I added a Tangrams home page, and a book of Tangram Puzzles to my site: www.mathed.page/puzzles/tang... #mtbos #iteachmath #mathed

Both my proposals were rejected by CMC-North's program committee for Asilomar 2024. (One math topic, one pedagogy). My retirement is really kicking in!

This is one of my favorite curated collections of applets on the web! Thank you for maintaining it. #mtbos #mathed #iteachmath

Short post about NCTM's statement on data science. Data exploration belongs in many subjects, not just math. It should be integrated into disciplinary content, not replace it. blog.mathed.page/2024/05/24/n... #mtbos #iteachmath #mathed

I added an explanation of how I use @GeoGebra to build applets for my site: Applets: How To. www.mathed.page/tools/applet... #mtbos #iteachmath #mathed

I added Liz Caffrey's version of Clock Angles (Lab 1.3 of Geometry Labs). It is geared to younger middle schoolers, so it is highly structured. www.mathed.page/geometry-labs/ www.mathed.page/geometry-lab... #mtbos #iteachmath #mathed

The Three Triangles: some generalizable pedagogical comments about a guided discovery worksheet (a similar triangles proof of the Pythagorean theorem). blog.mathed.page/2024/03/14/t... www.mathed.page/construction... #mtbos #iteachmath #mathed

New issue of my newsletter: Algebra 2, fractions, manipulatives, geometric construction, block schedules www.mathed.page/newsletter/2... To subscribe: www.mathed.page/e-list.html #mtbos #iteachmath #mathed

Possibly useful for π day Circle area (animation) www.mathed.page/construction... π for regular polygons? www.mathed.page/geometry-lab... Taxicab π: www.mathed.page/geometry-lab... Last 2 links are extensions of Geometry Labs 9.6 & 11.8: www.mathed.page/geometry-labs/ #mtbos #iteachmath #mathed

@johngolden.bsky.social For more on Galileo and math history, see this: www.mathed.page/infinity/gal...

New post: using Lab Gear algebra manipulatives for perimeter and surface area problems. blog.mathed.page/2024/02/05/a... #mtbos #iteachmath #mathed

I fixed a broken applet on my Glide Reflection page: www.mathed.page/transformati... #mtbos #iteachmath #mathed

Possibly useful for Valentine's Day: Katherine Paur's "Cutting Out Hearts" #mtbos #iteachmath

How does one follow a hashtag?