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秋千集合

数学中的集合初识

Language ChineseChinese
Book Paperback
Book 秋千集合 David E. McAdams
Libristo code: 50424092
Publishers Life is a Story Problem LLC, November 2025
《秋千集合》利用孩子与生俱来的分类本领,引入"集合"与"集合成员"的概念。集合是现代数学的根基。数论、算... Full description
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《秋千集合》利用孩子与生俱来的分类本领,引入"集合"与"集合成员"的概念。

集合是现代数学的根基。数论、算术、代数、几何、三角、微积分的每条原理,都可以用集合来描述。越早理解集合的原理、语言与记号,越能为孩子快速而扎实地吸收高阶数学做好准备。

集合的一个定义是:"能明确判断任意一个对象是否属于其中的一簇对象。" "一簇"就是任何成群的东西。"对象"可以是任何事物:一个玩具、一个数字,甚至是另一个集合。"成员资格"是关键:要组成一个集合,必须能准确分清什么在集合里、什么不在集合里。每个集合都要有清晰的定义。

本书从可纳入集合的对象类型与各集合的定义讲起。"一个秋千架是一组挂在同一根横杆上的秋千。'秋千'是指能来回摆动、孩子可以坐上去的东西。"本书始终强调这一定义。与孩子讨论本书时,也请强调给出的定义,并判断书外的事物是否符合这些定义。

《秋千集合》教孩子把现实情境转成数学表述,比如"f 是 B 的元素",并学习把表示"属于集合"的数学语句翻译成口头语言。

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About the book

Full name 秋千集合
Language Chinese
Binding Book - Paperback
Date of issue 2025
Number of pages 22
EAN 9781632709059
ISBN 1632709058
Libristo code 50424092
Weight 61
Dimensions 216 x 216 x 1
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