“Well, No One’s Complained”

As I walk the halls during testing week I always peek into classrooms to make sure the lights are on. Far too often I’ve encountered teachers who leave the lights off while students are taking exams. I’m really not sure why; maybe their resentment at having to proctor an exam leads them to prioritize their own comfort over that of the students?

When I see that the lights are off, I’ll step in, flip all the lights on, make eye contact with the proctor, and loudly say “The lights need to be on during testing”. Most of the time the proctor quickly averts their eyes, knowing they were in the wrong and embarrassed they’ve been called out. But one time a teacher, seemingly offended, responded “Well, no one’s complained.” I’ve heard a similar defense from teachers flouting school-wide homework and testing policies: “I give tests on whatever day I want. The students don’t complain. It’s fine.”

But there are lots of reasons a student might not complain when a teacher doesn’t follow the rules. A student may not want to publicly confess to poor eyesight in demanding that a teacher turn the lights on; a student who already has two tests on Friday may not want to risk upsetting classmates who would be happy if the teacher breaks the rules and gives them a quiz that day; a student may not want to risk possible retribution from a teacher by pointing out they aren’t following school policy when it comes to assigning homework.

Students exist on the wrong side of a perpetual imbalance of power in the classroom. Challenging authority is especially difficult under such circumstances, and in cases like this, students shouldn’t have to. We adopt rules and policies to protect student interests precisely because we know that young students aren’t always able to advocate for themselves. It shouldn’t be a student’s responsibility to make sure teachers follow the rules. It’s our responsibility, and our job, to follow them, even if we think no one will complain if we don’t.

Keynote: Making Our Mark

In November, I was honored to deliver the teacher keynote at Math for America’s annual Fall Function. Together with Giselle George-Gilkes, we spoke to over 1,600 teachers and guests about the many ways MfA has impacted us and our careers.

I’ve been a Math for America Master Teacher for the past 12 years, and it’s difficult to communicate the breadth and depth of the impact the organization and its community of 1,000 math and science teachers has had on me. I’ve had unique opportunities to learn, lead, and build relationships within New York City and across the country, all in the service of becoming a better teacher and leader.

Here is an excerpt from my speech:

I’ve dedicated myself to both leading and learning as a math teacher. And this community helps prepare me for those challenges every step of the way. This community makes me feel like a professional. A difference maker. And it makes me feel like I always have more to offer, both in and out of the classroom.

You can watch the video of the keynote at MfA’s YouTube page:

And you can find edited version of our speech, “Making Our Mark”, at MfA’s Teacher Voices blog.

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Math at the Deli Counter

The deli counter at the grocery store sometimes offers a poignant glimpse into how the public engages with mathematics.

Whenever I order a fractional quantity of meat or cheese, I prepare myself to manage confusion. When a blank stare lingers at “three-quarters of a pound of ham”, I’ll follow up with “point seven five”. I’ve heard “One-third… What is that?” more than a few times. And a deli employee once asked me if I wanted my two-thirds of a pound of cheese in two bags. Usually my deli experiences go smoothly, but there are some employees with whom I know to skip fractions and immediately go to decimals.

None of this bothers me; if anything, it reminds me that fractions really are one of the first walls people hit when learning mathematics. And it increases my empathy for those who obviously weren’t helped enough when they first hit that wall, and still struggle to get over it as adults.

I’ve also witnessed math-shaming in this situation. “Yes. Point seven five. Three-quarters is 0.75. You don’t know what three-quarters is?” As rude as this behavior is, I can’t help but sympathize a little with the shamers themselves: what mathematical experiences have they had that makes them feel the need to use math to belittle others? Sadly, I think I know at least part of the answer to that question.

It’s important for those who of us who see math as a source of pleasure and power to remember that, for many, it can be a source of confusion and, sometimes, shame.

2017 — My Year in Math

Dan Meyer recently shared a fun and telling graph describing his year in math. Inspired by Dan’s idea, and by a Math for America workshop with data visualization innovator Mona Chalabi, I created my own Year in Math entry. Though the real inspiration, I guess, came from the world events that made me want to read more books and less internet.

You can find more takes on the Year in Math theme on Twitter.

I think this could make for a fun student project. I hope the students agree!

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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