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

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SUMMARY

The discussion centers on whether to penalize students for using abbreviations like "J-canonical forms" and "##\mathbb{Q}##-canonical forms" in proofs related to Jordan and rational canonical forms during exams. The consensus among experienced instructors is that points should not be docked for such abbreviations, as the focus should remain on the validity of the proofs. However, it is advised to adhere to the notation used by the instructor to avoid misunderstandings and ensure clarity in communication.

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  • Understanding of Jordan canonical forms
  • Familiarity with rational canonical forms
  • Knowledge of proof techniques in linear algebra
  • Awareness of academic notation standards
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  • Research best practices for notation in mathematical proofs
  • Explore the implications of shorthand notation in academic settings
  • Study the importance of clarity in mathematical communication
  • Learn about common abbreviations in linear algebra and their acceptance
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Mathematics educators, students in linear algebra courses, and anyone interested in academic standards for notation and proof presentation.

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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