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TeamBasedInquiryLearning / linear-algebra

Materials for running a Team-Based Inquiry Learning linear algebra course
http://linear.tbil.org
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EV4WarmupCooldownDraft #375

Closed jkostiuk closed 2 months ago

jkostiuk commented 2 months ago

Here's my draft of a warmup/cooldown for EV4, continuing to address TeamBasedInquiryLearning/library#28.

My idea for the warmup was to have student gently prodded into activity that follows, having them consider a non-homogenous equation and then the corresponding homogenous equation obtained by moving the LHS vector to the RHS.

The cooldown is designed to further build visual/geometric and verbal fluency through analogy.

Also squashed a typo.

StevenClontz commented 2 months ago

I'm a simple man, so in the future, avoid using "draft" in the title of your PR if it's ready for review. (There's also a way to explicitly mark things as "draft" or "ready for review" on GitHub.)

I think I'd need more scaffolding to get my students engaged in these tasks (what do you think @siwelwerd?), but I'm not going to hold up merging these for such a reason (and may try them as-is this fall to see how they go myself).

siwelwerd commented 2 months ago

Hmmm. For the first one, my students will uncritically "verify" false statements all day long. So maybe give them two vectors, and ask them which is a solution?

For the second part, you might instruct them to not actually find the solution set. And also somehow suggest to them that they get $\vec{0}$ as a solution for free.