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Joshua Bowman
@thalesdisciple.bsky.social
Associate professor of mathematics. Hymn aficionado. Resist simple narratives. Cultivate an abolitionist imagination.
180 followers237 following325 posts
JBthalesdisciple.bsky.social

Understood. Iā€™ll delete the post.

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JBthalesdisciple.bsky.social

Oh yeah itā€™s great. I have no problem writing ā€œfā€ for a function, but ā€œcosā€ is just silly, and if you donā€™t distinguish between x as a variable, x as a number, and x as a function, cos(x) is ambiguous. Making the functions consistently named f(x) and cos(x) added a lot of clarity to the text.

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JBthalesdisciple.bsky.social

To be fair, it was a book on functional analysis, so it was a good thing to be careful about functional notation.

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JBthalesdisciple.bsky.social

Let me tell you about my favorite piece of pedantic notation ever, in a book that used x for the identity function on the reals and Ī¾ for a particular value, so cos(x) always meant the cosine function and you had to write cos(Ī¾) to mean cosine of a number.

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JBthalesdisciple.bsky.social

I realize Iā€™m just saying what @kameryn.bsky.social@xl772.bsky.social already said. Sorry about that; Iā€™m tired this Thursday afternoon. But I wanted to affirm that this is a helpful way to structure the process!

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JBthalesdisciple.bsky.social

I describe these two steps in my head as ā€œmarkingā€ and ā€œscoring.ā€ The second goes smoothly and quickly if the first is done well. (And itā€™s easier to mark well if Iā€™m not worried about the score at that time!)

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Ideally, it would not take up much more space than an ordinary box. But I realize that seems unlikely to work.

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I love this fact! You can only get those antiderivatives that equal zero somewhere. Iā€™ve tried making exercises to get students to realize this (one reason to distinguish between integrals and antiderivatives!), but somehow theyā€™re never impressed. šŸ˜‚

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As a visitor at two different higher ed institutions, I often attended faculty meetings. Even so, when I joined the faculty senate at my current institution as an assistant professor, it was a huge learning curve how to make things work.

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JB
Joshua Bowman
@thalesdisciple.bsky.social
Associate professor of mathematics. Hymn aficionado. Resist simple narratives. Cultivate an abolitionist imagination.
180 followers237 following325 posts