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.