E2 avoid long calculations while checking all three issues preventing RREF

TeamBasedInquiryLearning / checkit-tbil-la

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E2 avoid long calculations while checking all three issues preventing RREF #23

Closed StevenClontz closed 3 years ago

StevenClontz commented 3 years ago

Would it make sense to have E2 give the student four matrices:

one in RREF
one with non-1 pivot
one with non-0 above/below pivot
one with non-descending pivots

Then have students find the RREF, explain what's wrong with the other three, then fix them?

I think this eliminates needing experience with full Gauss-Jordan elimination. To which I'd want to consider if this is bad: students can still learn it optionally if they want to do these RREFs by hand, but I'm also okay with them using tech all semester I think.

StevenClontz commented 3 years ago

(I guess we could still have a second part asking to find RREF of a matrix, but allow technology. Maybe that'd make a point.)

StevenClontz commented 3 years ago

@siwelwerd thoughts on this? (Working thru Fri to get this core bank fixed up, then forking a version to align with Fall 2021 development edition)

siwelwerd commented 3 years ago

Gaussian elimination is specifically listed in the course description here, and I assume many other places. So my inclination is to keep it.

StevenClontz commented 3 years ago

Ah, right, that's reasonable. But I still like getting at each of the properties of RREF in each exercise. So would you be okay with this?

For each of the below matrices, explain why it is not in RREF.

[three matrices breaking each of three requirements]

Show how to compute RREF[MATRIX] = [its RREF].

siwelwerd commented 3 years ago

I like it. Maybe on 2, "Show step by step how to compute..."

StevenClontz commented 3 years ago