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September 9th, 2018, 05:00 PM   #21
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Degree measures angle, minute measures time, square inch measures area. It looks like A) and C).
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September 9th, 2018, 07:10 PM   #22
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Originally Posted by Joppy View Post
This question was an example provided by Vladimir Arnold in his "A mathematical trivium II". Both trivium's I and II are well worth the read if you have time (only a couple of pages). After stating this problem he goes on to say:
To be fair, most of us are stupid by comparison to Arnold.
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September 9th, 2018, 07:21 PM   #23
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To be fair, most of us are stupid by comparison to Arnold.
Yep..
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October 2nd, 2018, 01:12 PM   #24
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They all express a relation between a quantity and it's measure. But C is geometric.
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October 2nd, 2018, 01:56 PM   #25
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C again.

Area of a sector measures angle.

$\displaystyle A=\frac{1}{2}\theta R^{2}$
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October 2nd, 2018, 02:42 PM   #26
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It’s unclear from the trivium whether or not the true’ answer is actually provided as an option.
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October 3rd, 2018, 05:31 AM   #27
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It’s unclear from the trivium whether or not the true’ answer is actually provided as an option.
Sorry you couldn't figure it out.
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October 3rd, 2018, 05:42 AM   #28
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Sorry you couldn't figure it out.

Did you even read the article?
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October 3rd, 2018, 08:15 AM   #29
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It’s unclear from the trivium whether or not the true’ answer is actually provided as an option.
Why should I read an article when your question was quite specific. And why bring the article up right after I answered the question?
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October 3rd, 2018, 03:55 PM   #30
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Why should I read an article when your question was quite specific. And why bring the article up right after I answered the question?
1. It takes a few minutes to read and it gives the question its context.

2. You'll find that the full list of possible answer choices to the question isn't given.

3. You will also find that you answer of choice C is "correct":

"The "correct" answer is area and a square inch. Justification: the degree is the smallest unit of measurement of angle, and the square inch that of area, but the minute can be further divided, for example into seconds. For us this answer is of course preposterous. But American students whom I tested almost always gave precisely this "correct" answer."

4. I didn't post the question because I wanted to know the answer. I wanted to see if most people did in fact choose C and whether or not their reasoning was similar.

5. Lastly, and most importantly, the article is about mathematics education. Arnold suggests an approach to dealing with this very real problem in mathematics. It's certainly not applicable to everyone, but there are many good points raised there and you might enjoy a different perspective.
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