Y’know, getting a 1600 on the SAT doesn’t necessarily mean hard work.
I got a 1500. I did no prep whatsoever. I took it cold 3 times, and the lowest score I got on one testing was a 1440.
Yeah, I work hard, but the evidence of that is in my high school GPA. I mean, I am a quick learner. But that didn’t help me write an essay for English class or participate in a group project in French.
What I learned from these and similar activities was, first and foremost, good study skills. At some point (for me, that point was Chemistry), all the potential in the world won’t help you. You will need to learn something that doesn’t come naturally, and without any organized way of learning material you’ll be stuck. Busy work, if done, forces you to take time out of your day to work on something not immediately rewarding. I would imagine it’s one of the most useful lessons someone can learn.
Second, they taught me skills that I appreciate, or will appreciate later in life. If I hadn’t participated in discussions and written essays in English class, I would not be able to analyze what makes great literature great. The reading experience is much more enjoyable when you can pick up on different themes and subtleties of the writer. I didn’t care about that skill in 9th grade, but at this point I wouldn’t trade it for the world.
Group projects and such are also useful. Whatever your field is, the chances are overwhelming that you will have to interact with others in a professional environment. If you put forth the effort, you can start learning the skills you’ll need to work with others: how to divide up work, how to deal with people who don’t want to pull their own weight, how to gracefully deal with your own ideas being put aside in favor of others, etc. Blowing off this kind of thing will only make it harder for you later in life.
Why am I going into all this? To impress upon you that work can be constructive whether or not you see it as such. And really, even if this young man’s work consisted of punching holes for 8 hours each day, his unwillingness to do the work or negotiate it says something important about his character: “I am not willing to do things that do not interest me, and I will not seek other options.” That does not bode well for his future college and professional career.
BTW, integration by parts is difficult and nonconstructive?!?! First off, how hard is “int. of u dv = uv - int. of v du”? And second, integration is required for any sort of math, physics, engineering type work, and integration by parts makes many difficult equations much easier. Of course something is accomplished by teaching it: first, you know how to solve certain difficult-looking equations, and second if it’s required in your career, then you most certainly accomplished something by learning it.