Comment If AI will dominate, why teach mathematics at all? (Score 1) 29
Let's be clear about the nature of education. Before a student reaches a particular level of self-discipline during their formative educatoinal years, homework is assigned because it is an effective mechanism to have them practice the concepts being taught to them, and to do this outside of the structured classroom environment. This activity promotes the crystallization of learning objectives and prepares the student for the next lesson, which builds upon the previous.
After a student becomes largely self-sufficient, the homework model becomes less about enforcement through grading, and becomes more about preparing the student to manage their own academic development outside of the lectures and office hours. The student goes to class because they understand they NEED to be there to learn, unlike a child who must be TOLD to be there.
In this regard, whether or not homework is graded, and whether or not a student feels a need to cheat or take shortcuts with homework, is really just a reflection of the student's maturity and sense of responsibility for their own intellectual development. Typically, a professor should not need to police what a student does on their own time; what matters is the ability to certify that a student has met the learning objectives--and that is done through examination.
So, what I find disturbing is not the question of whether this professor should grade his students' homework, or whether the students are using AI to do their homework for them instead of actually learning the material. As the old adage goes, cheaters are only cheating themselves--at least, that's what I would still like to believe.
No, what I actually find most disturbing is this apparent disconnect in the professor's views on the future of AI as they pertain to professional mathematics, and the impact of AI use on the education of humanity. He predicts that AI will be better than professional human mathematicians, and I think this belies a deeply mistaken perspective on the purpose of learning and doing mathematics, one that I am extremely surprised that a working professional mathematician would make.
Even if AI models far exceed the human capacity to prove theorems, will it ever FEEL enjoyment and excitement about doing mathematics? Because if it can't stir something in you, then why do it, and why bother teaching it to others? Why would you ever need to teach another student, if you could just always ask a computer instead? In fact, why will anyone in the future ever need to learn anything, if AI will be the replacement for our brains?
I am a human being and I feel. I dream, and I love. I love mathematics, and it is not simply the result or the answer that I love, but the entire process. The struggle, the failure, the questioning and working away at it until at last, there is UNDERSTANDING. And the flaw that I see my fellow humans are making, over and over, is this crazy focus on RESULTS. ANSWERS. GOALS. They seem to have forgotten how to enjoy the process of doing things, whether it is the restoration of a classic car, or composing a musical score, or deciding what to cook for dinner.
I mean, why spend months and months on taking apart a 1957 Buick engine, lovingly cleaning every component, repairing and sometimes manufacturing replacements, and reassembling it? Why, when you can have a new electric car that is far safer and more efficient, with more functions and conveniences? Let me be clear; I don't work on classic cars or have any experience with automotive mechanics. But even from my outsider's perspective, I instantly know, at a visceral level, why they do it. It is for the love of the process; to take this machine and build it with your bare hands so that you have a complete understanding of it; and that this machine is an embodiment of engineering, aesthetics, and a symbolism of the freedom of movement.
That's what AI will not, and will never, do. It can't fall in love with the process, because to do so is what it means to love learning, and is part of what it means to be human. And for a professor of mathematics to not appreciate this is, to me, very misguided, and does not bode well for the education of future generations.