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TeamBasedInquiryLearning / calculus

ARCHIVED - Materials for running a Team-Based Inquiry Learning single-variable calculus course
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AI4 ask about both axes #128

Closed siwelwerd closed 10 months ago

siwelwerd commented 10 months ago

Closes #87

This makes a couple of changes to AI4. First, there are two tasks, asking them to write the integral for rotating about each of the x and y axes. I initially thought about randomly choosing one of the two, but this means half the time students have to invert the given function, and half the time they don't leading to a difficulty mismatch. By asking for both, on one of them they do and on one of them they don't.

Second, I implemented a randomization between giving the students a function $y=f(x)$ and a function $x=g(y)$. This is to make sure they are thinking about which one requires them to invert the function and which one does not.

Some side effects: The bounds can be a little ugly, particularly for the exponential/logarithm. However, no computation needs to be done with them.

StevenClontz commented 10 months ago

I think @TienChih would be a good person to review this - I seem to recall him thinking along similar lines for his Oxford calculus bank (at least for volumes of revolution). I'll pick this up myself if he doesn't get to it by Tuesday.

TienChih commented 10 months ago

My understanding was we were swapping AI4 for these guys: https://tienchih.github.io/oxcalcbank/#/bank/AP3/1/

StevenClontz commented 10 months ago

That sounds like something I recall discussing now that you mention it. Any thoughts @siwelwerd ?

siwelwerd commented 10 months ago

I am not sure we are talking about the same outcome here? AI4 here is surface areas of a surface of revolution

siwelwerd commented 10 months ago

Oh, is this what you were thinking of @TienChih ? https://github.com/TeamBasedInquiryLearning/calculus/pull/116

I had kind of a code hygiene question about #112 before approving it, but if that's blocking #116 we could go ahead and merge them both and make a separate issue for later so that #116 makes it into the 2024 Preview edition.