A New Lesson

I reached a benchmark of sorts this past week. I taught a new lesson.

In a sense, everything I’ve been doing this year is new. Remote teaching means new classroom routines, new assessment strategies, new procedures for facilitating collaboration, all sitting on top of a fundamentally new way to gather and conduct class using new technologies.

But despite all the newness, I’ve mostly been adapting existing instructional materials to fit this new reality. Well, more like because of all the newness. With so much effort being expended adapting to everything that’s new, having quality existing materials to rely on has been invaluable so far.

And in reality, adapting those existing materials to remote learning has been its own challenge. It’s not as though I can just run out the same lesson, the same task, the same problem set as before. Classes are longer, the semester is shorter, the medium is fundamentally different. I can’t simply do what I have done. Putting my existing materials into practice itself has seemed like a new job.

Which is why teaching a new lesson is something of a breakthrough for me. Three months in, I’m a bit more comfortable with what I’m doing and how I’m doing it. I’ve been experimenting with platforms likes Geogebra Classroom and Desmos Activity Builder, which have helped me recreate some of what’s been missing in my classroom, but have also given me an opportunity to take new approaches with old ideas.

Last week I introduced parallelograms with a Geogebra Classroom activity that had kids playing with quadrilaterals and conjecturing about the consequences of parallelism. They were able to explore, make observations, and outline proofs together. In Calculus I changed my approach to integration by substitution, emphasizing the process as a change of variables instead of an algebraic procedure. I designed a Desmos activity that allowed students to experiment and transform integrals and hypothesize about the consequences.

The methodology isn’t new for me: I always try to bring ideas to students through exploration and conjecture. But it’s been hard to figure out how to do that effectively in remote learning. Now I’m getting familiar with new tools that create new opportunities for teaching, and I’m starting to feel comfortable taking advantage of those opportunities.

I love reflecting on how I present mathematical concepts and then redesigning lessons around those new ways of thinking. It’s one of my favorite professional challenges as a teacher, and being able to do it again was a much-needed reminder of how fun teaching can be. My only concern now is what’s going to happen to these lessons when things go back to normal?

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CS Education Week — PAEMST Alumni Webinar

Tomorrow I’ll be participating in a webinar for the PAEMST Alumni network focused on computer science education. I’ll be sharing my experiences integrating math and computer science in my teaching, and I’ll discuss opportunities for teachers to get started in this work. In particular, I’ll discuss how current remote/hybrid learning environments offer potential for bringing CS into math class.

The webinar is part of Computer Science Education Week and is part of the PAEMST (Presidential Award for Excellence in Mathematics and Science Teaching) Alumni webinar series.

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Patience and Understanding

I haven’t always been the most patient and understanding teacher. Students know me for my passion for math and teaching, but early in my career I was probably equally known for my rigidity about things like punctuality. It was well-intentioned, as manifestations of high expectations often are, but it was also informed by a teacher’s desire to keep things under control.

I’m probably as well known now for being flexible as I was early on about being rigid. Age and experience have made me much more patient and understanding as a teacher. And having children of my own has certainly accelerated my acceptance that there are things I simply have to adapt to.

This change has helped prepare me for teaching during the pandemic. With so much out of our control, we all have to approach what we do with tremendous patience and understanding for each other. I’ve been doing my best, but this week it was my students who led the way.

Now that we are once again fully remote, I’m working from home and facing yet another round of fresh challenges. An over-extended wifi has made videoconferencing a crapshoot: I was kicked out of my class several times this week, which meant interruptions in instruction and extra work for us all.

Despite my struggles, students have continued to make things easy for me. They’ve waited around for me to log back in to class; they’ve watched the impromptu videos I’ve made to replace the missing instruction; they’ve completed the asynchronous assignments meant to make up for the lost time. They have been incredibly patient and understanding with me. I’d like to think they’ve been following my example, but in thinking back on it, it’s more likely that I’ve been following theirs all along.

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Statistics in the STEM Classroom

I will be participating in the upcoming webinar Statistics in the STEM Classroom, hosted by the National Museum of Mathematics. During the webinar I’ll present a lesson I developed as part of a joint program between MoMath and the Brookhaven National Laboratory.

This summer a small group of math and physics teachers attended workshops with Dr. Allen Mincer, a particle physicist from NYU. Dr. Mincer discussed the mathematics, statistics, and physics involved in the development and operation of the Large Hadron Collider (LHC), the world’s largest particle accelerator. Teachers were then tasked with developing classroom lessons inspired by Dr. Mincer’s workshops.

The lessons will be shared during these MoMath workshops, the first of which is Monday, December 9th. The workshops are open to the public, and are free for New York State Master Teachers. You can find out more about the webinar and register here.

The Best Writing on Mathematics 2020

A piece I wrote last year was selected for The Best Writing on Mathematics 2020, published by Princeton University Press. It’s an incredible and quite unexpected honor.

I have known about this for several months, but I was still a bit shocked to see this:

I’ve been writing about math and teaching for years, but I never dreamed of being included in a collection of “The Best Writing on Mathematics” alongside writers like Steven Strogatz, Erica Klarreich, and John Carlos Baez.

I’m grateful to the editor, Mircea Pitici, for selecting “On Your Mark, Get Set, Multiply” for the collection, and to everyone at Quanta Magazine, where the piece was originally published. I am very fortunate to write for Quanta, where I have incredible writers to learn from and an editor, Quanta’s founder and Editor-in-Chief Thomas Lin, who has invested a great deal of time and effort into helping me become a better writer.

You can learn more about Princeton University Press’s The Best Writing on Mathematics 2020 here.

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