《数学地思考》封面

数学地思考

Thinking mathematically

Mason, John · 初版 1982 年

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本书展现了处于数学核心地位的思维过程。它阐释了如何鼓励、拓展和培养那些在数学家看来似乎是天生具备的过程。通过这种方式,对数学思维本质的深刻认知得以生根发芽。

Hacker News 上怎么说

  • 去买那本《Thinking Mathematically》(http://www.amazon.com/Thinking-Mathematically-J-Mason/dp/020... 非返利链接),它用简单的问题把数学家的思维过程展现得一清二楚。然后你就可以把这套思路应用到……

    Get the book "Thinking Mathematically" (http://www.amazon.com/Thinking-Mathematically-J-Mason/dp/020... non affiliate link) which exposes the process of how mathematicians think, using simple problems. You can then adapt the process to…

  • ……高效地做。随着时间推移这通常会带来回报,而且理应给你带来巨大优势。关于这个有两本好书:《How to Solve It》http://www.amazon.com/How-Solve-It-Mathematical-Princeton/dp... 和《Thinking Mathematically》http://www.amazon.com/Thinking-Mathematically-J-Mason/dp/020... 如果你想在理科/数学类考试中考得更好,这里是我自己写的书,《Exam Mastery: How to excel in maths-heavy exams》:http://www.amazon.com/Exam-Mastery-excel-maths-heavy-ebook/d...……

    …effectively. That usually pays dividends over time and ought to give you a significant advantage. Two good books on this: How to Solve It http://www.amazon.com/How-Solve-It-Mathematical-Princeton/dp... Thinking Mathematically http://www.amazon.com/Thinking-Mathematically-J-Mason/dp/020... And if you want to get better at sitting maths-based exams, here's my own book, Exam Mastery: How to excel in maths-heavy exams : http://www.amazon.com/Exam-Mastery-excel-maths-heavy-ebook/d...…

  • ……用间隔重复练习来巩固计算能力,并给学生一些容易获得的成功来建立信心(我们通常用 Saxon 的材料在做 Beast Academy 之前热身)3. 《Thinking Mathematically》(J. Mason 和 L. Burton 写的那本)有一套独特且实用的思维流程,专门用来在没有现成公式可套的情况下攻克难题。我们每周都会一起死磕一道难题……

    …spaced-repetition exercises for shoring up the calculation side of things, and giving the student some easy wins for confidence building (we typically use Saxon's material as a warmup before Beast Academy) 3. Thinking Mathematically (the one by J. Mason and L. Burton) has a unique and useful mental process for attacking hard problems when you're not handed a nice formula to plug things into. Once a week, we work through a hard problem…

  • 我来这里就是想推荐 J. Mason 写的《Thinking Mathematically》(纯文字版)。要是每个高中数学老师手里都有一本,世界肯定会变得更美好。

    Came here to recommend Thinking Mathematically (text only) by J. Mason. If only every high school maths teacher had this book, the world would be a better place

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