If you were a linear algebra teacher, would you dock points for this?

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Discussion Overview

The discussion revolves around the appropriateness of using abbreviations for Jordan canonical forms and rational canonical forms in a linear algebra exam context. Participants explore whether points should be docked for such abbreviations in proofs, considering factors like clarity and instructor expectations.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that abbreviating "Jordan canonical forms" as "J-canonical forms" and "rational canonical forms" as "##\mathbb{Q}##-canonical forms" should not result in point deductions, emphasizing the importance of the validity of the proofs over notation.
  • Others suggest that unless specific instructions were given against using abbreviations, points should not be docked.
  • One participant cautions against giving examiners a reason to deduct marks, advocating for a more formal approach to notation.
  • Another participant shares personal experience, indicating that they adapt their notation based on who is proctoring the exam, using shorthand only if it aligns with the instructor's style.
  • A later reply expresses skepticism about the rationale for docking points, questioning the intelligence of an instructor who would do so, while also highlighting the importance of being easily understood in communication.

Areas of Agreement / Disagreement

Participants do not reach a consensus; multiple competing views remain regarding the appropriateness of abbreviations and the potential consequences in grading.

Contextual Notes

Participants' views depend on assumptions about instructor expectations and the context of the exam, which are not fully articulated. The discussion does not resolve whether abbreviations are universally acceptable or if they could lead to misunderstandings.

Eclair_de_XII
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Let's say you were proctoring some test that required proofs of Jordan canonical forms and rational canonical forms.

Would you dock points from a lazy student abbreviating the former as "J-canonical forms" and the latter as "##\mathbb{Q}##-canonical forms" in their proofs?
 
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Eclair_de_XII said:
Let's say you were proctoring some test that required proofs of Jordan canonical forms and rational canonical forms.

Would you dock points from a lazy student abbreviating the former as "J-canonical forms" and the latter as "##\mathbb{Q}##-canonical forms" in their proofs?
As someone who has taught linear algebra a number of times, no, I wouldn't take off points for those abbreviations. My focus would be more on the validity of the proofs.
 
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Not unless for some reason you had instructed them not to do that.
 
Best not to give examiners an excuse to dock marks.
 
Eclair_de_XII said:
Let's say you were proctoring some test that required proofs of Jordan canonical forms and rational canonical forms.

Would you dock points from a lazy student abbreviating the former as "J-canonical forms" and the latter as "##\mathbb{Q}##-canonical forms" in their proofs?
silly. But I learned my lesson quickly in an intro linear course. If it is the actual instructor giving the exam, then I use what ever short hand notation he uses in lecture. If it is not the instructor proctoring the exam, then I am very formal with notation used and no shorthand.
 
with all due respect, no. and i am at some difficulty not to insult the intelligence of any "instructor" who would do this. on the other hand, why would take the chance that your otherwise correct answer might be misunderstood? your job is to be easy to be understood. i wonder if you have told us the full story.
 
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