Winn Math Journey

Math Automaticity.Inventor of the Shepherd Self-Learning System, Advocate of Independent Learning, For Nothing is Everything. 18-year-experienced math teacher.

[Winn Math Journey @WinnMathJourney]

Shepherd Self-Learning System, abbreviated as SSS.
SSS Maxim 001:
For Nothing is Everything — Learning without utilitarian purposes is precisely what leads to gaining everything.

[Winn Math Journey @WinnMathJourney]

SSS Maxim 002:
A view of mathematics shapes one's values, which in turn determines mathematical thinking.

[Winn Math Journey @WinnMathJourney]

@naki2012 尤其是已经对一种语言有深刻洞见的人，特别有必要对多门外语突破到L6以上。

[Winn Math Journey @WinnMathJourney]

The greatest love for a child is seeing their excellence from your heart. Use Math Academy together: push knowledge limits, laugh, strive, even cry—no shame, but a lifelong treasure. Happiness and worth flow like a warm stream.Diamond League’s first place. It’s a champion’s proof

[Winn Math Journey @WinnMathJourney]

@espressocoder Your words have given me much food for thought. Thank you.

[Winn Math Journey @WinnMathJourney]

With simple words comes profound wisdom: it would be wonderful if children could learn independently from an early age, focus more on accumulating little by little every day, and compare themselves less with their peers.

[EspressoCoder @espressocoder]

Almost didn't notice this 😄 Been slow lately, but cool to hit 25k

[Winn Math Journey @WinnMathJourney]

@renfanzi @garrulous_abyss 数学教育还没包产到户，理性和逻辑还在构建的路上。

[Winn Math Journey @WinnMathJourney]

Comparing the paths of "cumbersome methods" at different levels can bring unexpected value.

[Winn Math Journey @WinnMathJourney]

In math self-study, the value of multiple solutions for one problem is often ignored. People prefer finding the optimal solution—the simplest way—quickly. Just as a big house feels like a prison without outdoor space, a "shortcut" may harm without comparing "cumbersome methods".

[Winn Math Journey @WinnMathJourney]

@feltanimalworld 我就很喜欢这样，我觉得这是秩序的体现

[Winn Math Journey @WinnMathJourney]

@justinskycak This is probably the greatest truth, yet many people realize it too late. People often talk about swimming theoretically while standing on the shore, reluctant to actually get in the water and practice. Perhaps an evasive personality is the root cause.

[Winn Math Journey @WinnMathJourney]

@feltanimalworld 对比不同文明的迭代和建构，昙花式的消耗不值得称道，耀眼光辉后留下的是涂炭灰烬和一片漆黑。审慎式的积累恪守边界，百年无战事实属可贵，留下了穿越千年的星火。返穷群体指向消耗，长青意味着秩序，群体的路径积分带来了文明的收敛或发散，大幕落下时，没有一片雪花是无辜的，恪守边界远重于攻城略地

[Winn Math Journey @WinnMathJourney]

The value of the first step is deeply underestimated, as few can internalize mathematical logic and apply it to life. Many act promptly but quit due to greed and impatience. The key is to treat every present action as the first step. So start now—immediately!

[Winn Math Journey @WinnMathJourney]

@feltanimalworld 这个过程既是解码，也是在重新编码，总之，一切都开始变得不一样了。

[Andrew Ng @AndrewYNg]

I’d like to share a tip for getting more practice building with AI — that is, either using AI building blocks to build applications or using AI coding assistance to create powerful applications quickly: If you find yourself with only limited time to build, reduce the scope of your project until you can build something in whatever time you do have.

If you have only an hour, find a small component of an idea that you're excited about that you can build in an hour. With modern coding assistants like Anthropic’s Claude Code (my favorite dev tool right now), you might be surprised at how much you can do even in short periods of time! This gets you going, and you can always continue the project later.

To become good at building with AI, most people must (i) learn relevant techniques, for example by taking online AI courses, and (ii) practice building. I know developers who noodle on ideas for months without actually building anything — I’ve done this too! — because we feel we don’t have time to get started. If you find yourself in this position, I encourage you to keep cutting the initial project scope until you identify a small component you can build right away.

Let me illustrate with an example — one of my many small, fun weekend projects that might never go anywhere, but that I’m glad I did.

Here’s the idea: Many people fear public speaking. And public speaking is challenging to practice, because it's hard to organize an audience. So I thought it would be interesting to build an audience simulator to provide a digital audience of dozens to hundreds of virtual people on a computer monitor and let a user practice by speaking to them.

One Saturday afternoon, I found myself in a coffee shop with a couple of hours to spare and decided to give the audience simulator a shot. My familiarity with graphics coding is limited, so instead of building a complex simulator of a large audience and writing AI software to simulate appropriate audience responses, I decided to cut scope significantly to (a) simulating an audience of one person (which I could replicate later to simulate N persons), (b) omitting AI and letting a human operator manually select the reaction of the simulated audience (similar to Wizard of Oz prototyping), and (c) implementing the graphics using a simple 2D avatar.

Using a mix of several coding assistants, I built a basic version in the time I had. The avatar could move subtly and blink, but otherwise it used basic graphics. Even though it fell far short of a sophisticated audience simulator, I am glad I built this. In addition to moving the project forward and letting me explore different designs, it advanced my knowledge of basic graphics. Further, having this crude prototype to show friends helped me get user feedback that shaped my views on the product idea.

I have on my laptop a list of ideas of things that I think would be interesting to build. Most of them would take much longer than the handful of hours I might have to try something on a given day, but by cutting their scope, I can get going, and the initial progress on a project helps me decide if it’s worth further investment. As a bonus, hacking on a wide variety of applications helps me practice a wide range of skills. But most importantly, this gets an idea out of my head and potentially in front of prospective users for feedback that lets the project move faster.

[Original text: https://t.co/UP6arTWAdV ]

[Winn Math Journey @WinnMathJourney]

@AndrewYNg This article deserves to be a classic textbook; many should study it and act promptly. Those who do may find pleasant surprises. Its value lies not in the action itself, but in the isomorphic connections among all things. A small step could unexpectedly open up a whole new world.

[Winn Math Journey @WinnMathJourney]

@feltanimalworld 我始终认为天人合一的农业文明被低估了，处处留有余地相比竭泽而渔，绝不仅仅是积累，更是一种孕育，人们往往惊喜于诞生时的伟大和不可思议，却忽视了最初的种子和土壤，以及必要的环境。鸡能生蛋的决定因素从来不是卧姿。中文世界总有民间高手和世外高人，绝非偶然。引领下个时代，华人不可或缺。

[Winn Math Journey @WinnMathJourney]

@lapislagoons The feeling of anticipation is wonderful, and this is where another meaning of life lies. So instead of worrying about when to actually read a book, the first step should be to buy it decisively.

[Winn Math Journey @WinnMathJourney]

@ach2678 You're absolutely right. I encounter a new lesson, instead of immediately checking the instructions, I try to deduce new theorems to solve problems. The process can be arduous, the success of deduction is extremely valuable—it almost always builds a permanent memory at once.

[Winn Math Journey @WinnMathJourney]

@justinskycak Inherent connections between different skill systems emerge. This realization spurs the initiative to explore related skills, facilitating horizontal expansion and deep integration of knowledge. Moreover, it serves as a litmus test for the mastery of underlying logic.