……比如无穷大（以及不同种类的无穷大！）完全脱离了我们的日常经验。(2) 此外，数学比大多数编程要更加抽象。蒂姆·高尔斯（Tim Gowers）在他那本可爱的小书《牛津通识读本：数学》（Mathematics: A Very Short Introduction）中写道：国际象棋里的黑王到底是什么？这是一个奇怪的问题，而处理它最令人满意的方式似乎是稍微回避一下。除了指着……人们还能做什么呢
…like infinity (and different kinds of infinity!) are entirely foreign to our daily experience. (2) In addition, mathematics is more abstract than most programming. Tim Gowers, in his lovely little book Mathematics: A Very Short Introduction, writes: What is the black king in chess? This is a strange question, and the most satis- factory way to deal with it seems to be to sidestep it slightly. What more can one do than point…
…split into dry theory where you have to already know math to be able to properly read them and books that are simplified to death for people who are forced to study math and don't want to. Tim Gowers' Mathematics: A Very Short Introduction is a popular book on doing mathematics. Not a textbook that teaches you mathematics, so wouldn't give this as the only book, but popular "what's the field like" books could be very interesting to a high…
……《Worlds: Mathematics and Destiny》，在这方面我觉得它相当有趣且发人深省——https://en.wikipedia.org/wiki/Ivar_Ekeland 尤其是第一本一定要读读。2) Timothy Gowers 的《牛津通识读本：数学》则更侧重于概念/抽象/模型，因此放在这里很切题。
…Worlds: Mathematics and Destiny which i have found pretty interesting and thought-provoking in this regard - https://en.wikipedia.org/wiki/Ivar_Ekeland Read the first one in particular. 2) Timothy Gowers' Mathematics: A Very Short Introduction is more focused on Concepts/Abstraction/Models and hence relevant here.
…from OA that struck me as on the button... "A prejudice that was strongly confirmed was the value of mathematical fluency. Barton says, and I agree with him (and suggested something like it in my book Mathematics, A Very Short Introduction) that it is often a good idea to teach fluency first and understanding later." Agree fully with Barton and OA here. Until recently I taught GCSE Maths re-take students aged 16 and over in a further education…
……John Stillwell 的《Numbers and Geometry》http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038... T. W. Körner 的《The Pleasures of Counting》http://www.amazon.com/Pleasures-Counting-T-W-K%C3%B6rner/dp/... Timothy Gowers 的《牛津通识读本：数学》（Mathematics: A Very Short Introduction）http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
…Geometry by John Stillwell. http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038... The Pleasures of Counting by T. W. Körner http://www.amazon.com/Pleasures-Counting-T-W-K%C3%B6rner/dp/... Mathematics: A Very Short Introduction by Timothy Gowers http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
你可以从 Timothy Gowers 的《牛津通识读本：数学》（Mathematics: A very short introduction）开始读。读起来很快，而且 Gowers 讲述重要数学主题的方式很有趣，大部分内容都很通俗易懂。http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
You could start with Mathematics: A very short introduction by Timothy Gowers. It's a quick read, and the way Gowers writes about important Mathematical topics is interesting and, for the most part, easy to understand. http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
……比如无穷大（以及不同种类的无穷大！）完全脱离了我们的日常经验。(2) 此外，数学比大多数编程要更加抽象。蒂姆·高尔斯（Tim Gowers）在他那本可爱的小书《牛津通识读本：数学》（Mathematics: A Very Short Introduction）中写道：国际象棋里的黑王到底是什么？这是一个奇怪的问题，而处理它最令人满意的方式似乎是稍微回避一下。除了指着……人们还能做什么呢
…like infinity (and different kinds of infinity!) are entirely foreign to our daily experience. (2) In addition, mathematics is more abstract than most programming. Tim Gowers, in his lovely little book Mathematics: A Very Short Introduction, writes: What is the black king in chess? This is a strange question, and the most satis- factory way to deal with it seems to be to sidestep it slightly. What more can one do than point…
……被割裂成了两类：一类是枯燥的理论，你得懂数学才能真正读懂；另一类则是为了那些被迫学数学又不想学的人简化到了极致的书。Tim Gowers 的《牛津通识读本：数学》是一本关于“如何做数学”的通俗读物。它不是一本教你数学知识的教科书，所以我不会把它当作唯一的书来推，但这种带你了解“这个领域到底是什么样”的科普书，对于一个高……
…split into dry theory where you have to already know math to be able to properly read them and books that are simplified to death for people who are forced to study math and don't want to. Tim Gowers' Mathematics: A Very Short Introduction is a popular book on doing mathematics. Not a textbook that teaches you mathematics, so wouldn't give this as the only book, but popular "what's the field like" books could be very interesting to a high…
……《Worlds: Mathematics and Destiny》，在这方面我觉得它相当有趣且发人深省——https://en.wikipedia.org/wiki/Ivar_Ekeland 尤其是第一本一定要读读。2) Timothy Gowers 的《牛津通识读本：数学》则更侧重于概念/抽象/模型，因此放在这里很切题。
…Worlds: Mathematics and Destiny which i have found pretty interesting and thought-provoking in this regard - https://en.wikipedia.org/wiki/Ivar_Ekeland Read the first one in particular. 2) Timothy Gowers' Mathematics: A Very Short Introduction is more focused on Concepts/Abstraction/Models and hence relevant here.
……原作者（OA）这段说得太准了……“有一个偏见得到了强烈印证，那就是数学熟练度的价值。Barton 认为，我也赞同他（并在我的书《牛津通识读本：数学》中提出过类似观点），通常先教熟练度、后教理解是个好主意。”完全同意 Barton 和原作者的观点。直到最近，我还在一所进修学校教 16 岁及以上的 GCSE 数学补考学生……
…from OA that struck me as on the button... "A prejudice that was strongly confirmed was the value of mathematical fluency. Barton says, and I agree with him (and suggested something like it in my book Mathematics, A Very Short Introduction) that it is often a good idea to teach fluency first and understanding later." Agree fully with Barton and OA here. Until recently I taught GCSE Maths re-take students aged 16 and over in a further education…
……John Stillwell 的《Numbers and Geometry》http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038... T. W. Körner 的《The Pleasures of Counting》http://www.amazon.com/Pleasures-Counting-T-W-K%C3%B6rner/dp/... Timothy Gowers 的《牛津通识读本：数学》（Mathematics: A Very Short Introduction）http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
…Geometry by John Stillwell. http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038... The Pleasures of Counting by T. W. Körner http://www.amazon.com/Pleasures-Counting-T-W-K%C3%B6rner/dp/... Mathematics: A Very Short Introduction by Timothy Gowers http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
你可以从 Timothy Gowers 的《牛津通识读本：数学》（Mathematics: A very short introduction）开始读。读起来很快，而且 Gowers 讲述重要数学主题的方式很有趣，大部分内容都很通俗易懂。http://www.amazon.com/Mathematics-Short-Introduction-Timothy...
You could start with Mathematics: A very short introduction by Timothy Gowers. It's a quick read, and the way Gowers writes about important Mathematical topics is interesting and, for the most part, easy to understand. http://www.amazon.com/Mathematics-Short-Introduction-Timothy...