秋千集合

秋千集合

David E. McAdams

12,85 €
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Editorial:
Life is a Story Problem LLC
Año de edición:
2025
ISBN:
9781632709059

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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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