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10-Second Pause


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We’ve been shoring up our differentiation and integration skills in AP Calculus. During the last two class sessions, I’ve intentionally avoided whole-class review. I wanted students to wrestle individually and in small groups. Today, however, I shifted back to a handful of “let’s walk through these together” exercises for the first 15 minutes or so of class. But I added …

Where’s the emphasis? Right where it belongs.


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One of the things I love about Desmos is that it allows students and teachers to keep the focus where it should be. Working on a linear approximation problem in Calculus? It’s easy to get caught up in algebraic and numerical details and lose sight of the big (somewhat amazing) picture: We can approximate a crazy curve with a simple line! (Provided …

Try, Try Again


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Monday wasn’t the greatest of teaching days. But in teaching we have a thousand opportunities to try again. If at first you don’t succeed… Write a long blog post reflecting on what went wrong, and then go back to the drawing board. Tomorrow’s Game Plan When I taught this lesson three years ago, it lasted 40:01. I’m not kidding. (By the way, that …

The script is dead. Long live the prompt!


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Period 2 Well that wasn’t any good. Here’s a picture of the main part of my Calculus lesson from today: One example. That’s it. The central element of my entire lesson was… one example. And not even a task. Just an example. A watch-me-as-I-carefully-walk-through-every-step-of-this-sucker and make-sure-you’re-on-guard-in-case-I-ask-you-any-leading-questions example. Oh my. Granted, there was more after that example, just not a great deal more. And …