无心剑中译哈罗德·布罗克曼《经验论与客观论,孰是孰非?》
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经验论与客观论,孰是孰非?
本文论述了两种对立的观点,一个是客观论,认为系统知识比主体经验更重要,应该把数学作为一个知识体系来传递给学生;一个是经验论,认为主体经验比系统知识更重要,应该通过学生与现实的互动来学习数学。这对于目前新课程教学观的探讨,无疑有一定借鉴和启发作用。
一、文章翻译
Experientialism VS Objectivism
经验论与客观论,孰是孰非?
What is Mathematics? There are many answers to this question. The academician, the curriculum designer, the student, the engineer, the politician… are all likely to have different notions about the fundamental nature of mathematics which colour their opinions on what should be taught in school mathematics, how it should be presented, and what the ultimate purpose of the exercise is. Such notions about the
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