AI 导读
斯坦福数学家 George Pólya 用40年观察发现,聪明学生卡在难题上并非因为笨,而是没人教他们动手前该做什么——问题一出现就焦虑地立刻开算,越努力越偏。
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斯坦福数学家40年观察:“最聪明的学生”不是笨,而是从来没人教他们「先干什么」
George Pólya 1945年写的《How to Solve It》卖了上百万册,Marvin Minsky(第一个神经网络机器的发明人)公开说「每个人都该读」。
但大多数人到现在都没听过这本书。
Pólya看了40年,发现天才学生卡在难题上的原因永远一样:
问题一出现,他们就焦虑,然后立刻开始算。
不是因为算才是正确第一步,而是「动起来」比「不知道」舒服多了。
结果越努力越错方向。
他发现最被忽略的一步其实是:先真正理解问题。
不是扫一眼,不是觉得“好像见过”。
他的残酷测试只有一句话:
你能不能不看原题,就用自己的话把问题重新讲一遍?
讲不出来,就说明你根本没理解。
大多数人直接跳过这一步,狂执行,然后卡死在自己都没搞懂的问题上。
Pólya的四步法里,真正决定成败的是第1步和第4步:
1. 深刻理解问题
2. 制定计划(卡住就先解一个更简单的问题,把方法带回来)
3. 执行
4. 回顾(验证、泛化、反思)
真正厉害的人,不仅仅练得更多,也要学会在「本能想冲的时候慢下来」,尤其在开头和结尾。
这套方法放到2026年的AI时代,我突然觉得特别扎心。
我们用Claude、Cursor写代码、做prompt、debug的时候,最容易犯的错,恰恰就是Pólya当年看到的:没真正理解问题,就急着让AI开始生成。
先慢下来理解问题,反而是最高阶的prompt技巧。
我觉得可以捏一个prompt啊!
A Stanford mathematician spent forty years watching one brilliant student after another crash into hard problems. Not because they weren’t smart. But because no one had ever taught them what to actually do “before” they started solving. His name was George Pólya. In 1945, he published “How to Solve It”. The book sold over a million copies and has never gone out of print. Even Marvin Minsky, who built the first neural network, said that everyone should read it. Yet most people still haven’t heard of it. What Pólya kept seeing was the same failure pattern, again and again: The moment a difficult problem appears, students get anxious and immediately start calculating. Not because calculating is the right first step, but because doing somethingfeels much more comfortable than sitting with “I don’t know.” They end up working hard in completely the wrong direction. The step he found most neglected was this: Truly understand the problem first. Not just skim it. Not just think “this looks familiar.” His test was simple but ruthless: Can you restate the problem in your own words without looking at the original? If you can’t, you don’t actually understand it yet. Most people skip this step entirely. They jump straight into execution and then get stuck on a problem they never truly grasped. Pólya outlined four steps for solving problems. But in real life, the two that matter most are usually the first and the last: 1. Understand the problem deeply 2. Devise a plan (if you’re stuck, try solving a simpler version first and bring the insight back) 3. Carry out the plan 4. Look back — verify, generalize, and reflect The people who get truly good at this aren’t the ones who practice more. They’re the ones who’ve learned to slow down when every instinct is screaming at them to just start calculating — especially at the beginning, and again at the end. What struck me most after reading this: We assume hard problems are difficult because they are. Most of the time, it’s simply because we never took the time to truly understand them.在 X 查看被引用的帖子
来源:@berryxia · x.com