Elianna, on 2014-July-13, 22:49, said:
My opinion is that this is a huge problem for society.
Let's take this out of the testing environment and give the students some time to think. Let's also give the student a one short paragraph reminder of what a dilation is and what the center of a dilation is. I think, generally speaking, within a decade or so, someone who cannot figure out the answer to this question in this more relaxed environment is simply not going to be a functional contributor to society (in the developed world). There will be a few people who have a particular block against mathematics or geometry but can solve problems requiring similar intellectual demands in other contexts. But I think that almost all jobs (including farming and plumbing) are going to require intellectual ability equivalent to being able to think through that problem. (Note I consider trial and error a perfectly valid method of solution here.)
I don't know whether the solution is to keep people in school for longer (and make school more effective at fostering intellectual skills in everyone), or create a large permanent generously supported dependent underclass, or agree to limit the technology our society uses. But if we don't solve this, there'll be enough societal conflict that we'll end up nuking ourselves, one way or another.
I'm not optimistic.