3 ms·

> How would you solve a problem that no one has ever touched before, and that no one knows the answer to? Where are you going to be provided the answer? This i

> How would you solve a problem that no one has ever touched before, and that no one knows the answer to? Where are you going to be provided the answer? This is very near and dear to my heart. We are talking about “teaching” and I doubt anyone who supports the current education status quo is advocating to teach using unsolved problems. That said, I do feel, personally, and have long advocated for, teaching using unsolved problems as a better technique, because you learn strategies for approaching a problem much better than: here’s theorem 13.4 heres an exercise problem that uses the theorem, what’s the answer? It reads like you see my opinions are black and white and yours as spectra. Using your own reading on your own comment the logical conclusion is “a system that teaches to an answer will be unable to answer unanswered questions because the students were only taught to answer questions that already have answers.” A great example of the answer being the most useless part of one’s own personal knowledge is Timothy Gowers YouTube content: https://m.youtube.com/watch?v=byjhpzEoXFs https://m.youtube.com/watch?v=byjhpzEoXFs But who’s cares what some YouTuber is up to? He’s just out here promoting an inherently incorrect education method wrought from a dysfunctional mind.

latency-guy2 3y ago
> It reads like you see my opinions are black and white and yours as spectra. No, we're talking past each other. Your claim is the current system is "broken" because you think teachers believe the "answer" is the ultimate goal. I refute that. The teacher does not believe the "answer" is the ultimate goal, they are teaching you techniques on how to solve problems, and the answer is the standard upon which you are being measured in correctness. This is why "show your work" exists, your steps to get to the end (the answer) is employing the techniques, they measure how effective you are at getting there. The best teachers even mark you down if you make a mistake somewhere, but still get the right answer without proving it fully.

latency-guy2 3y ago

> It reads like you see my opinions are black and white and yours as spectra. No, we're talking past each other. Your claim is the current system is "broken" because you think teachers believe the "answer" is the ultimate goal. I refute that. The teacher does not believe the "answer" is the ultimate goal, they are teaching you techniques on how to solve problems, and the answer is the standard upon which you are being measured in correctness. This is why "show your work" exists, your steps to get to the end (the answer) is employing the techniques, they measure how effective you are at getting there. The best teachers even mark you down if you make a mistake somewhere, but still get the right answer without proving it fully.