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This Chinese Math Problem Has No Answer. Perhaps, It Has a Lot of Them. (washingtonpost.com)
Fifth-graders in China's Shunqing district were recently asked to answer this question: "If a ship had 26 sheep and 10 goats on board, how old is the ship's captain?" The Washington Post: The apparently unsolvable question sparked a debate over the merits of the Chinese education system and the value it places on the memorization of information over the importance of developing critical thinking skills. "Some surveys show that primary school students in our country lack a sense of critical awareness in regard to mathematics," a statement by the Shunqing Education Department posted Jan. 26 reportedly said. One student offered a pragmatic law-abiding answer: "The captain is at least 18 because he has to be an adult to drive the ship." Meanwhile on Twitter, some have gone with 42, a reference to the science fiction novel "A Hitchhiker's Guide to the Galaxy," by Douglas Adams, in which 42 is the "Answer to the Ultimate Question of Life, The Universe, and Everything." BBC: "If a school had 26 teachers, 10 of which weren't thinking, how old is the principal?" another asked. Some however, defended the school -- which has not been named -- saying the question promoted critical thinking. "The whole point of it is to make the students think. It's done that," one person commented. "This question forces children to explain their thinking and gives them space to be creative. We should have more questions like this," another said.
Asking questions for which there is insufficient data to determine the unique correct answer is confusing and a waste of time, because they will never see such questions in real life. Only teach them things they'll need in real life, I say. Don't fill their heads with nonsense. Every question they will need to answer in real life will have a correct answer, and they need to expect that from others.
If the question has no answer and is supposed to foster critical or creative thinking, how did the teachers grade the answers?
What were the actual answers? As it stands, this is bullshit "news" cause the important part of the whole incident wasn't reported. Why am I not surprised that it's "news" from Jeff Bezos' Blog?
Did the pupils get full credit when they pointed out how the question is unanswerable? Did they get credit for the lower bound of 18? Did they get no credit for things like the 42 answer which is simply a lame old joke?
1. Johnny has an AK-47 with an 80-round clip. If he misses 6 out of 10 shots and shoots 13 times at each drive-by shooting, how many drive-by shootings can he attempt before he has to reload?
2. Jose has 2 ounces of cocaine and he sells an 8-ball to Jackson for $320 and 2 grams to Billy for $85 per gram. What is the street value of the balance of the cocaine if he doesn't cut it?
3. Rufus is pimping for three girls. If the price is $65 for each trick, how many tricks will each girl have to turn so Rufus can pay for his $800-per-day crack habit?
4. Jarone want to cut his 1/2 pound of heroin to make 20% more profit. How many ounces of cut will he need?
5. Willie gets $200 for stealing a BMW, $50 for a Chevy, and $100 for a 4X4. If he has stolen 2 BMWs, 3 4X4s, how many Chevies will he have to steal to make $800?
6. Raoul is in prison for 6 years for murder. He got $10,000 for the hit. If his common law wife is spending $100 per month, how much money will be left when he gets out of prison and how many years will he get for killing the bitch that spent his money?
7. If the average spray can covers 22 square feet and the average letter is 3 square feet, how many letters can a tagger spray with 3 cans of paint?
8. Hector knocked up 6 girls in his gang. There are 27 girls in the gang. What percentage of the girls in the gang has Hector knocked up?
9. Thelma can cook dinner for her 16 children for $7.50 per night. She gets $234 a month welfare for each child. If her $325 per month rent goes up 15%, how many more children should she have to keep up with her expenses?
10. Salvador was arrested for dealing crack and his bail was set at $25,000. If he pays a bail bondsman 12% and returns to Mexico, how much money will he lose by jumping bail?
The Washington Post article links to a BBC article containing the following:
And of course, there's always that one person that has all the answers.
The total weight of 26 sheep and 10 goat is 7,700kg, based on the average weight of each animal," said one Weibo commenter.
In China, if you're driving a ship that has more than 5,000kg of cargo you need to have possessed a boat license for five years. The minimum age for getting a boat's license is 23, so he's at least 28.
Johnny observes three stars through his telescope. The stars' temperatures are X, Y, and Z kelvin. What is the total temperature observed?
when he was asked to evaluate science textbooks for the school board in Pasadena.
... and is known as the 'age of the captain' problem, introduced by Gustave Flaubert, a french writer.
It's been used to study how children in elementary school react to word problems. It has notthing to do with maths.
See e.g. https://www.jstor.org/stable/3...
The question sounds like the quality of requirements documents I've been handed. Life is full of self-important people telling you to do the impossible with inadequate information, tools, time, and money. Sounds like the kids got an early insight into the "Joy of work."
Whoooooosh
In one of Richard Feynman's books, he told about his experiences at a university in Brazil. He was horrified to realize that the students were ritually memorizing the course material with very little actual understanding.
When he asked questions in a way that echoed the textbook, students were able to recite an answer straight out of the book. But when he made up a "word problem" they were totally unable to answer.
A student was quizzed on physics, asked to compute what happens when light passes through a diamagnetic substance, and he recited the answer correctly and then calculated the correct result given the index and thickness of the substance. Immediately afterward, Feynman talked to that same student; Feynman held up a book and asked what would happen if the book was made of glass and he looked at something through the book. The student didn't realize that glass is a diamagnetic substance, and gave a very incorrect answer.
Richard Feynman on education in Brazil
In the domain of math questions, I saw an example: if a person has 4 boards of length 2.5 metres each, and cuts them with a saw, how many 1-metre boards can that person make? Obviously the correct answer is 8 (two per board, with 4 left-over pieces of length 0.5 metres minus the width of two saw cuts). If you were just playing with the numbers abstractly you might think that since 4 * 2.5 == 10 that you could produce ten 1-metre board segments. You can't actually glue together 4 boards to make a single board, and you can't actually make zero-width cuts.
I can't speak for others, but I enjoy word problems more than abstract problems. (Good ones, anyway... you can take a simple problem and write an annoying and confusing word problem, and nobody likes those.)
lf(1): it's like ls(1) but sorts filenames by extension, tersely
This problem is not sufficiently bounded to solve from a mathematical perspective.
(That's the actual answer... You don't need to be over 18 if you are piloting the boat illegally and there may not even be a captain.)