I don’t think recognizing a trick problem is necessarily about being good or smart. Is the author of the cited blog post dumber than a fifth grader?
I don’t think recognizing a trick problem is necessarily about being good or smart. Is the author of the cited blog post dumber than a fifth grader?
Not to detract from the nice explanation in that post, but I do think "smart" can be a bit of annoying term. It sort of implies an innate property. I'm pretty confident anyone can become really good at anything, given enough motivation and time. I'd prefer the term "experienced" or something to that effect.
And I'm pretty confident that some people can become really good at said thing faster, due to some form of innate talent. And as we all have finite time, that's a pretty important trait.
It goes a bit beyond that; this problem solving algorithm is pretty clearly unworkable. Even here where it can come to an answer in reasonable time it is questionable.
Any student that is happy to employ this algorithm is either extremely smart to the point where they can process a lot of arithmetic very quickly, or not very smart and setting themselves up for failure later on in life when the first guess at an answer doesn't work.
Ordinary garden-variety smart (as in, likely to be good at maths but not Euler or Gauss) should fail to answer this question on the basis that there is no technique beyond brute force, and brute force is impractical without a computer.
How is that a bad thing? I think the world needs less confidence in it right now, not more.