It sounds like the old programming interview questions: "Why are sewer covers round?", etc. They sound like they promote critical thinking, but really they just confuse the applicants. If you want to know how someone thinks, ask them to solve a problem step by step.
i only know from learning about it, but round manhole covers prevent them from falling through the hole by consisting of a curve of constant width. Another example is the Reuleaux Triangle which is a viable shape for manhole covers. https://en.m.wikipedia.org/wiki/Reuleaux_triangle
'Unsolvable' exam question leaves Chinese students flummoxed
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Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#22Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#23It sounds like the old programming interview questions: "Why are sewer covers round?", etc. They sound like they promote critical thinking, but really they just confuse the applicants. If you want to know how someone thinks, ask them to solve a problem step by step.
Asking them to solve a problem step by step is great to learn whether that person is good at explaining the solution step by step. It is not about internal thought process you use to come up with solution.
You don't ask the applicant to solve and then explain, you ask them to solve and think aloud while they do it. If this doesn't come naturally to the candidate, which is totally fine, you must ask questions, suggest doubts, propose alternatives or request clarifications to encourage thinking aloud.
If you realize the candidate already knew the solution and is in fact just explaining it, then you have failed to prepare a sufficiently interesting question, and must come up with another.
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#24It sounds like the old programming interview questions: "Why are sewer covers round?", etc. They sound like they promote critical thinking, but really they just confuse the applicants. If you want to know how someone thinks, ask them to solve a problem step by step.
i only know from learning about it, but round manhole covers prevent them from falling through the hole by consisting of a curve of constant width. Another example is the Reuleaux Triangle which is a viable shape for manhole covers. https://en.m.wikipedia.org/wiki/Reuleaux_triangle
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#25Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#26Growing up in the US, we used to have questions like this on math exams. The correct answer is something to the effect of "Not enough information to solve this problem". Of course we had practice questions where that was the case before the exam, so it wasn't a surprise or anything... but it was standard practice.
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#27Earlier quoted context omitted.
Questions like "A ball is fired from a cannon at a 45 degree angle, how far from it's initial position does it land?" are also fairly common in Canada. I don't recall every being asked something this silly though. There's no formula to calculate the age of a ship captain based on his cargo. There's no 'missing piece' here.
Read the article - there are several clues, and bounds can be calculated.
> "If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?"
What 'clue' did I miss? The only other information is some speculation from a Weibo commenter who thinks that 26 sheep + 10 goats = 7700kgs.
I supposed you could argue that these 5th grade students should know the minimum age required to have a commercial boat licence, but I couldn't tell you that answer for my country (and we don't know that this is a commercial ship, could just be someone taking his livestock for a jaunt around the lake).
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#28Earlier quoted context omitted.
Questions like "A ball is fired from a cannon at a 45 degree angle, how far from it's initial position does it land?" are also fairly common in Canada. I don't recall every being asked something this silly though. There's no formula to calculate the age of a ship captain based on his cargo. There's no 'missing piece' here.
"There's no formula to calculate the age of a ship captain based on his cargo. There's no 'missing piece' here." The lack of relevant relationship is the missing piece. Given how much nonsense I've personally witnessed as a math tutor or TA as students shove unrelated numbers through unrelated equations in unmotivated manners in an attempt to come up with some answer, any answer, I'd say it's not any worse a question…
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#29Growing up in the US, we used to have questions like this on math exams. The correct answer is something to the effect of "Not enough information to solve this problem". Of course we had practice questions where that was the case before the exam, so it wasn't a surprise or anything... but it was standard practice.
http://www.solipsys.co.uk/new/NapkinRingVersusSphericalCap.h...
Re: 'Unsolvable' exam question leaves Chinese students flummoxed
#30Earlier quoted context omitted.
Read the article - there are several clues, and bounds can be calculated.
I read the article. The question is stated to be > "If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?" What 'clue' did I miss? The only other information is some speculation from a Weibo commenter who thinks that 26 sheep + 10 goats = 7700kgs. I supposed you could argue that these 5th grade students should know the minimum age required to have a commercial boat licence, but I couldn't tell y…