The Problem with Pentagons — Scarsdale High School

I’m excited to be visiting Scarsdale High School, where I’ll be talking about the recent classification of pentagonal tilings of the plane. In my talk, The Problem with Pentagons, I’ll show how a math problem accessible to high school geometry students has a solution that ultimately spans centuries, cultures, and disciplines. The talk is based in part my recent article for Quanta Magazine.

I’m looking forward to meeting students and teachers, visiting some classes, learning more about Scarsdale HS, and talking about tilings!

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2017 — Year in Review

Although we are well on our way into 2018 (a semiprime year!), I wanted to take a moment to reflect on a busy 2017, one that included our last Pythagorean Triple day for a while.

One of the biggest events for me this year was the launch of my column for Quanta Magazine. In Quantized Academy I write about the fundamental mathematical ideas that underlie Quanta’s stories on cutting edge science and research. This past year I’ve published columns on symmetry and group theory, gerrymandering, and pentagonal tilings, and some of my pieces have also appeared at Wired. It’s been a great experience (and challenge!) so far, and I’m looking forward to seeing where it goes in 2018.

I also continue to contribute to the NYT Learning Network (like this piece on gerrymandering) and have kept up the tradition of writing about the New York State Math Regents exams in 2017, which included one of the worst Geometry tests I’ve ever seen.

I also read a lot of books this past year, in an attempt to find healthier ways to spend my time, and I posted a list of some of the most interesting things I read in 2017. And thanks to a terrific mini-course on data representation with Mona Chalabi, I was inspired to create this Year in Math graphic.

I’ve continued to work to integrate mathematics and computer science in my classroom. This school year I’ve begun piloting a Mathematical Computing course, which is in part based on the work I’ve been doing in Scratch the past few years. I’ve presented about this work at Math for America, the NCTM Annual Meeting, and I’ve been featured by the Scratch Ed community. I plan on continuing to promote new work this year at similar venues.

I had another busy year speaking about mathematics, teaching, and technology. In addition to presenting at conferences like the NCTM Annual Meeting, I delivered the opening keynote at the inaugural MfA Summer Think conference, spoke at a STEM Grand Challenges event hosted by 100kin10, and participated in a panel discussion at the Global Math Week Symposium. I also designed and ran an interactive exhibit at the 2017 World Science Festival. Perhaps my biggest speaking honor this past year was keynoting Math for America’s annual Fall Function, where Giselle George-Gilkes and I spoke to 1,600 teachers and guests about the impact MfA has had on our careers. I already have a lot planned for 2018, but those with speaking inquiries can contact me here.

As always, I’m thankful to be able to reflect on a fulfilling professional year, and I look forward to another good one in 2018.

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MfA Workshop — Stats and Sims in Scratch

Tonight I’ll be running a workshop, “Stats and Sims in Scratch”, for teachers at Math for America. In this workshop we will develop basic computational tools for exploring elementary and advanced problems in probability, and implement and apply statistical procedures via programming.

This workshop is a product of my ongoing efforts to integrate mathematics and computer science in my classrooms. The study of probability creates natural opportunities to bring in tools from computer science, which create alternate pathways to understanding concepts in probability through generating, managing, and analyzing data.

I will also be presenting on this topic at the NCTM Annual Meeting in Washington, DC in April of this year. Feel free to contact me for more information about this particular workshop or my other work with mathematics and Scratch.

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Books I Read in 2017

I read a lot of books in 2017, as part of a concerted effort to find healthier ways to spend time. I’d say it was a success! Here are some of the books that made an impact on me this past year.

Math

Genius at Play, by Siobhan Roberts

I enjoyed this biography of the mathematician John H. Conway, which includes so many lengthy quotations that it often feels like a dialogue between the subject and the author. At times, it even feels like an autobiographical soliloquy, which I gather is not uncommon for Conway. The book covers lots of great math, too, which Roberts presents in an engaging and inviting way.

How to Bake Pi, by Eugenia Cheng

A fun, general-audience book exploring the author’s parallel passions for cooking and mathematics. And a gentle introduction to category theory, to boot!

Teaching and Learning

Why Don’t Students Like School?, by Daniel Willingham

An overview of how some key results from cognitive science can inform effective teaching and learning. A book for practitioners, and a valuable read for teachers of any subject.

The Teacher Wars, by Dana Goldstein

A brief history of the teaching profession in the United States. I was surprised to learn that so many cornerstones of modern educational policy debate–tenure, training, curriculum, pay–have been argued about in much the same ways for over 100 years. An eye-opening read for teachers, and invaluable to those interested in framing current education policy in historical context.

Non-Fiction

The Girl with Seven Names, by Hyeonseo Lee

The fast-paced, harrowing tale of a young woman’s journey out of North Korea, full of twists, turns, and a good deal of sympathy for her homeland. An engaging and poignant look at a mysterious country through one person’s eyes.

China’s Second Continent, by Howard French

A journalist with deep connections to both lands explores the aggressive and strategic wave of Chinese immigration to Africa over the past 30 years. As someone who lived in China and wanted to learn more about modern Africa, it was a perfect fit for me.

Science Fiction

Old Man’s War, by John Scalzi

I ended up reading a lot of science fiction, and it started with this series from John Scalzi. Someone suggested that all the sci fi I read was a form of escapism, and it makes sense: these books were definitely a fun escape.

Foundation, by Isaac Asimov

Once I started with sci fi, I quickly gravitated here, and ended up reading quite a bit of Asimov in 2017. Having consumed so much sci fi in other forms (TV, movies), it’s fascinating going back to the source of so many of those themes, story lines, and even technical details. I was frequently taken aback at Asimov’s portrayal of the role of women in the distant future, which reminded me that stories about the future often tell us a lot about the present.

Thanks to these books, authors, and the Brooklyn Public Library, for making my 2017 healthier, happier, and better informed!

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The (Math) Problem with Pentagons — Quanta Magazine

My latest column for Quanta Magazine is about the recent classification of pentagonal tilings of the plane. Tilings involving triangles, quadrilaterals, and more have been well-understood for over a thousand years, but it wasn’t until 2017 that the question of which pentagons tile the plane was completely settled.

Here’s an excerpt.

People have been studying how to fit shapes together to make toys, floors, walls and art — and to understand the mathematics behind such patterns — for thousands of years. But it was only this year that we finally settled the question of how five-sided polygons “tile the plane.” Why did pentagons pose such a big problem for so long?

In my column I explore some of the reasons that certain kinds of pentagons might, or might not, tile the plane. It’s a fun exercise in elementary geometry, and a glimpse into a complex world of geometric relationships.

The full article is freely available here.

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