We've set up a system that punishes failure to the point of exclusion. Whereas, creativity and learning can only really flourish in an environment that allows (and hopefully encourages) one to try things which aren't necessarily guaranteed to succeed.
Let's also be sure not to conflate this fact with an anecdotal story about a student who was afraid of a mouse, which is rather silly.
I think they may not have a fair assessment of their own abilities because of prior hand holding.
I haven't seen the emotional catastrophe element that this article talks about. But, I did witness the abuse of the faculty.
I saw the entitlement my generation is often accused of first hand. Many students were hostile, rude and lazy. I gained a reputation for sticking up for professors and calling my fellow students out on their behavior. In part I do blame the staff. Though maybe they couldn't gain control because their hands were tied by policy.
This is a problem I observed and experienced myself. Many kids (especially at elite schools) have been carefully honed to excel in high school and on tests so that they can get into good colleges. They start to think that they are massively intelligent and can do anything as long as they apply the same techniques.
Then they arrive at college, where all of a sudden a massive proportion of the population is at least as smart as them, if not smarter or harder working. Just as they are dealing with a bunch of emotionally roiling events such as living alone and having to make new friends, kaboom, their goes their overinflated sense of self esteem.
When I was at prep school exams were just a special week at the end of each term (maybe year, it was a while ago) - but not much significant effort was made to prepare in any way. They were simply a measure of how much had been gleaned from lessons.
A couple of weeks later we'd get a special "exam form orders" describing our results in relation to our peers (which happened every fortnight regardless - it's just this one was based on exams). Some people cared more than others, but I don't remember anyone being distraught before or after.
I'm also not sold on the fact that the kind of revision typically practised leads to long term retention - but that's just my humble opinion.
For me this wasn't just one class this was many classes and many students. So I think that the entitlement speak is of valid concern.
I do have to say that I did get into a bit of a war with the head of the CS department. He told me to cheat on a group project in order to make him and the department look good by doing all the work myself. I did give him some choice words and yes it was that much harder for me to graduate(this was my senior project). That was the only time I ever saw the lack of morality/respect first hand among faculty.
Why is this even a thing? Because the tests are done under quite a bit of time pressure and not answering a question doesn't count for 0, it actually penalises your score.
So here I am, in my early 20s with a bachelors, decent education, co-founded and ran a profitable startup for a few years, and I'm studying for a test by learning how to game the test, rather than learning the knowledge that's supposed to be tested.
In fact, a quick anecdote, I literally just read the introduction to the official gmat review which in the very first pages talks about a chunk of the book that'll be on 'guessing technique', and states 'What differentiates good test takers from great test takers is the ability to guess in such a way as to maximize the chances for a correct answer.' just to give you an idea about what top universities expect me to spend my time on in order for them to decide whether to accept me or not. Isn't that insane? It then follows 'With some practice and some insight into how ACT writes its wrong answers, you can increase your odds of guessing correctly from the 20 percent of a completely random guess to 50 percent or higher.' Note that this guessing aspect can make all the difference between scoring just well vs sufficiently for entry somewhere.
If I fail the test, I can't get into the school. The school that offers courses that I've already taken a few years back which were never certified, to learn things that I've already applied in the workspace, just so I can land a job that I can demonstrably already do, in part because the company doesn't want to take the risk of hiring me without this degree (unless I have exceptional work experience, something you generally only get recognised for sans a diploma after your 30s), and in part because the government in my country is pushing finance guys to be certified.
So do I want to take a risk? No not really, not in this environment. Do I really care for this test? Absolutely not. The degree? Nope. But I'm expected to care to actually land a job, and if I don't land that job, I can only get ahead on a combination of extreme grit, reinventing the wheel and a fair bit of luck by pushing out on my own. But that doesn't mean I see this GMAT or this Master's as a 'measure of success', it's a pointless exercise I'd rather do without, but failing it disqualifies me from many opportunities and puts me on a path of most resistance. I feel some decades ago there was still a sense of career mobility, now a master's degree is becoming a default requirement that often isn't anywhere near enough. With all these formal and strict requirements, there's not a lot of room for a focus autonomous learning, only on the periphery, as it's usually not certified/accredited and thereby not recognised and thereby not of value when applying for a job. Software engineering (portfolio) experience feels like a rare exception to this rule.
In tests specifically, you can usually knock out a couple obvious wrong answers. Then, if you are still not sure, you are supposed to decide which is the best answer. You take a risk with that decision.
To give an analogy from programming, say you are not sure of which algorithm applies best to a situation. You are stuck between two solutions which both look good. You can either stay stuck all day meticulously deciding which is best, or you can actually get work done and take a risk on which one you feel works best in the situation.
If you take your time on deciding which works best, surprise, a competitor took a hunch on a solution, got to market first, and put your company out of business. It doesn't even matter if your solution was better in the long run. (See: Windows vs Mac OS in the 90s)
It's not just blind guesses. It's deciding which guess gives you the best chance of getting it right. This is what 'guessing technique' is about. Of course, you don't go in to a test not knowing anything at all, then you will end up at the 20% of a completely random guess. You go in with a solid foundation, giving you the ability to answer the "easy questions", and giving you the tools you need to get "50% of higher" on the other questions.
"So do I want to take a risk?" Absolutely, you do. Nothing ventured, nothing gained. The alternative is extreme grit and reinventing the wheel, which (for the vast majority of people) leads to quick burnout and psychological issues.
So if one answer is x^2+y/sqr(z) and another is 15y/sqr(z) and a third is 15/xy/sqr(z), then they suggest c because you have the most elements in common with the other answers, 15, x, y/sqr(z). This is literally in a McGraw-Hill (one of the 3 big billion-dollar education publishers) book on the GMAT.
It has nothing to do with any real world, practical application, and it's completely different from what you describe which are completely sensible approximation techniques. These aren't approximation techniques, they're guessing techniques and it's total bs. It's not teaching you a strategy to learning, to approaching problems to find meaningful solutions, or to approximate answers to questions, it's teaching you purely to game a test and the real world doesn't work like that.
I would hope in later chapters they talk about good approximation techniques, and leave the similarities technique as an absolute last resort.
This is in part a consequence of test-based education. Students have been told for a very long time that failing important tests like the SAT/ACT will have irrevocable consequences that are negative. Most of their learning has occurred in the light of this danger, and so, failure is a big deal. Actual learning or autonomous development are pieces to spruce up the resume after the good scores are in the bag.