……学生的经历，讲他们如何在概念里苦苦挣扎，就像在黑屋子里摸索，直到某天找到了电灯开关，瞬间融会贯通。另一个是 Kalid Azad 的《Math, Better Explained》系列。他的方法是在讲严密证明之前，先把直觉解释清楚。结合这两者，我才意识到自己以前根本没搞懂怎么学数学。一旦从直觉入手，……
…student's experience where they talk about struggling with concepts, like groping about in a dark room until one day, you find the light switch and you see it all come together. The other is Kalid Azad's "Math, Better Explained" series. His approach is to introduce the intuition first, before going into the rigor. Between those two, I realized that I had never really learned how to learn math. Once I started with the intuition,…
网站 https://betterexplained.com/ 上能买到实体书《Math, Better Explained: Learn to Unlock Your Math Intuition》。网站上的讲解非常棒，我猜实体书也一样出色。
The web site https://betterexplained.com/ has physical books that you can purchase "Math, Better Explained: Learn to Unlock Your Math Intuition". The explanations on that website are excellent, I imagine the book is the same.
……可以理解。现在出现了一种新型书籍，尝试用不同的方法来切入眼前的学科。它们把传授理解看得比什么都重。我只读过 Jason Wilkes 的《Burn Math Class》和 Kalid Azad 的《Math, Better Explained》。这些书缺乏习题，而我认为习题和理解同等重要。二者缺一不可。至于以后，跟着这个[1]走就行，免得你……
…understandable. Now comes the new kind of books which try a different approach to the subject at hand. They try to give more understanding that anything else. I only read "Burn Math Class" by Jason Wilkes and "Math, Better Explained" by Kalid Azad. These books lack exercises, which are, in my opinion, as important as understanding. But one doesn't work without the other. As for the future just follow this[1] so that you won't get…
……学生的经历，讲他们如何在概念里苦苦挣扎，就像在黑屋子里摸索，直到某天找到了电灯开关，瞬间融会贯通。另一个是 Kalid Azad 的《Math, Better Explained》系列。他的方法是在讲严密证明之前，先把直觉解释清楚。结合这两者，我才意识到自己以前根本没搞懂怎么学数学。一旦从直觉入手，……
…student's experience where they talk about struggling with concepts, like groping about in a dark room until one day, you find the light switch and you see it all come together. The other is Kalid Azad's "Math, Better Explained" series. His approach is to introduce the intuition first, before going into the rigor. Between those two, I realized that I had never really learned how to learn math. Once I started with the intuition,…
我从 Kalid Azad 的《Math, Better Explained》重新开始学。它切入数学的方式是先建立直觉，然后再用证明来逐步严谨化。
I restarted with Kalid Azad’s Math, Better Explained. It approached math first by intuition, and then worked out to refine it with proofs.
网站 https://betterexplained.com/ 上能买到实体书《Math, Better Explained: Learn to Unlock Your Math Intuition》。网站上的讲解非常棒，我猜实体书也一样出色。
The web site https://betterexplained.com/ has physical books that you can purchase "Math, Better Explained: Learn to Unlock Your Math Intuition". The explanations on that website are excellent, I imagine the book is the same.
……可以理解。现在出现了一种新型书籍，尝试用不同的方法来切入眼前的学科。它们把传授理解看得比什么都重。我只读过 Jason Wilkes 的《Burn Math Class》和 Kalid Azad 的《Math, Better Explained》。这些书缺乏习题，而我认为习题和理解同等重要。二者缺一不可。至于以后，跟着这个[1]走就行，免得你……
…understandable. Now comes the new kind of books which try a different approach to the subject at hand. They try to give more understanding that anything else. I only read "Burn Math Class" by Jason Wilkes and "Math, Better Explained" by Kalid Azad. These books lack exercises, which are, in my opinion, as important as understanding. But one doesn't work without the other. As for the future just follow this[1] so that you won't get…