Forgetting How to Teach

The holiday break brought some much needed time off. I felt refreshed as I returned to work, but my first day back was a bit disorienting.

I opened my agenda and my SMART Notebook, but forgot to open my lesson plan. I forgot to assign my Geogebra classroom activities ahead of time. I forgot to print out my rosters. I forgot to share my screen. I forgot to check if I was muted.

The muscle memory of teaching I had worked so hard to rebuild had faded after 11 days of vacation. I suppose that’s what vacation’s for, but it’s been many years since I’ve been caught off guard like that after a break.

By the end of the week things it felt like we were back to normal again. In school, at least.

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Remote Intervisitations

I’ve attended and facilitated a lot of professional learning in my career as a teacher and instructional coach. Without question, the most consistently effective professional learning has come from collegial intervisitation.

There’s an undeniable relevance to being in another teacher’s classroom. Every teacher teaches differently: Some teachers do big things differently, like teaching trigonometry before polynomials, or never collecting or reviewing homework. Some teachers do small things differently, like always correcting the statement “A triangle has 180 degrees”, or using a random number generator to call on students.

However they manifest in a classroom, experiencing those differences has an immediate impact on an observing teacher. Maybe you’ll see technique or strategy you’ll want to try. Or maybe something you see will make you think more deeply about your own approach. Intervisitation is so effective because every observation of another teacher is really an observation of yourself. You can’t help but reflect on your practice.

I’ve found intervisitation especially useful during remote learning. Simply experiencing remote teaching from the other side has been invaluable: What’s it like to try to do math virtually? How does it feel to sit in a breakout room? And it’s been very helpful seeing how different teachers try to solve the same problems, like how to properly present mathematics, how to get students engaged, and how to gain access to their thinking.

After a round of intervisitations, our geometry course team had conversations that were both enlightening and heartening. We saw the different ways in which we were each finding success, and the similar ways in which we were all struggling. Teaching is an isolating job, but those common struggles unite us. And we have a better chance of overcoming them together than on our own.

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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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