September 9th, 2018, 05:00 PM  #21 
Global Moderator Joined: May 2007 Posts: 6,665 Thanks: 651 
Degree measures angle, minute measures time, square inch measures area. It looks like A) and C).

September 9th, 2018, 07:10 PM  #22 
Senior Member Joined: Sep 2016 From: USA Posts: 535 Thanks: 306 Math Focus: Dynamical systems, analytic function theory, numerics  To be fair, most of us are stupid by comparison to Arnold.

September 9th, 2018, 07:21 PM  #23 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,750 Thanks: 614 Math Focus: Yet to find out.  
October 2nd, 2018, 01:12 PM  #24 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,641 Thanks: 119 
They all express a relation between a quantity and it's measure. But C is geometric.

October 2nd, 2018, 01:56 PM  #25 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,641 Thanks: 119 
C again. Area of a sector measures angle. $\displaystyle A=\frac{1}{2}\theta R^{2}$ 
October 2nd, 2018, 02:42 PM  #26 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,750 Thanks: 614 Math Focus: Yet to find out. 
It’s unclear from the trivium whether or not the true’ answer is actually provided as an option.

October 3rd, 2018, 05:31 AM  #27 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,641 Thanks: 119  
October 3rd, 2018, 05:42 AM  #28 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,750 Thanks: 614 Math Focus: Yet to find out.  
October 3rd, 2018, 08:15 AM  #29 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,641 Thanks: 119  
October 3rd, 2018, 03:55 PM  #30  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,750 Thanks: 614 Math Focus: Yet to find out.  Quote:
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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