新闻摘要:
这是一篇来自知乎的长帖,作者推荐了楼红卫的《微积分进阶》和一份基于Gilbert Strang教材的图解笔记《线性代数的艺术》。帖子描述了这两本资料如何改变作者的学习方式:不再追求题目的“高大上”与临时技巧,而是优先掌握通用的、能推广的思路;并指出那份线性代数笔记在GitHub上获得大量星标与原作者肯定。
文中还讲了一个教师的真实案例:一位高中生因为记不住公式而放弃数学,教师从定义和单位圆出发,引导学生自己推导诱导公式,学生在理解中突然后悔并重拾兴趣,最终高考取得好成绩。全文强调理解优于死记、分类思考与反复验证会带来真正的“通杀”方法。
思考与启发:
这篇文章提醒我们,学习不该只靠背答案,而是一步步把问题拆开、从根儿上去理解。日常生活里,遇到难题时先把基础弄清楚、慢慢归类、反复练习,往往比速成技巧更可靠;这种踏实的态度,对家里有孩子的父母或自学的人都实用。
天经里有一句朴素的话,正好应验了这种路:智慧应被放在首位,寻求和守持智慧,比一时的聪明更重要。做学问、做事,都需要耐心和恒心。
经文:
《宰逋尔·箴言 4:7》 智慧为首,所以要得智慧;在你一切所得之内必得聪明。链接:📖 查看经文
### English Translation
Title: Why Some People Love Mathematics
News Summary
This is a long post from the Chinese Q&A site Zhihu. The author recommends two resources: Advanced Calculus by Lou Hong‑Wei and a visual set of notes on linear algebra called The Art of Linear Algebra, which is based on Gilbert Strang’s textbook. The post explains how these two works changed the author’s way of learning. Instead of chasing “flashy” problems and short‑term tricks, the author now focuses on mastering general, extensible ideas. The linear‑algebra notes have earned many stars on GitHub and have been praised by their original author.
The article also tells a real‑life story about a teacher. One high‑school student gave up math because he couldn’t remember formulas. The teacher started from definitions and the unit circle, guiding the student to derive the trigonometric identities himself. As the student began to understand, he immediately regretted abandoning the subject, regained his interest, and eventually scored well on the college‑entrance exam. The whole piece stresses that true understanding beats rote memorization, and that classifying problems and repeatedly testing ideas yields a genuine “one‑size‑fits‑all” method.
Thoughts and Takeaways
The article reminds us that learning shouldn’t be limited to memorizing answers. We should break problems down step by step and get to the root of the matter. In everyday life, when we face a difficult question, it’s more reliable to first firm up the basics, sort the problem into categories, and practice repeatedly, rather than rely on quick hacks. This steady, patient attitude is useful for parents helping their children and for anyone studying on their own.
A simple, timeless truth mirrors this approach: putting wisdom first is more important than fleeting cleverness. Whether we study or work, patience and perseverance are essential.
Scripture
Proverbs 4:7 (Záibǔ’ěr translation) – “Wisdom is supreme; therefore get wisdom. In everything you obtain, you will gain understanding.”
[Click here to read the verse] (https://www.huizu-tianjing.icu/zaibuer/zhenyan/4)
来源:https://www.zhihu.com/question/19963623