Which Proof Format Is Easier to Grade: A or B?

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The discussion centers on the preferred format for grading mathematical proofs where the result is not explicitly stated. Participants argue that format B, which begins with a clear statement of the theorem's truth value followed by the proof, is superior to format A, which concludes with the result. Format B is considered easier to read and grade, as it provides clarity from the outset about the proof's direction. Graders express that starting with the conclusion helps them understand the reasoning more effectively, making it a more organized approach. Overall, there is a consensus that format B enhances readability and grading efficiency.
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To those of you who may grade proofs in which the result is not stated (ie prove or disprove), which of the following do you think is easier to grade, and a better format:

A) Proof... Therefore the theorem is false/true.

B) The theorem is false/true. To see this, consider the following: Proof...

I think that B is actually easier to read. You have stated your goal prior and so it seems that the proof would be easier to read (you don't have to guess where it is going). I feel like if I were grading these types of assignments, I'd read the conclusion first anyway.
 
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I think the second option is superiour. As you said, it organizes the reasoning from the beginning and makes clear where the author is going.
 
1MileCrash said:
To those of you who may grade proofs in which the result is not stated (ie prove or disprove), which of the following do you think is easier to grade, and a better format:

A) Proof... Therefore the theorem is false/true.

B) The theorem is false/true. To see this, consider the following: Proof...

I think that B is actually easier to read. You have stated your goal prior and so it seems that the proof would be easier to read (you don't have to guess where it is going). I feel like if I were grading these types of assignments, I'd read the conclusion first anyway.

Definitely take the second option. I see many students taking the first option in their exams and it makes it a lot harder for me.
 
Second one, of course.
 
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