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数学哲学现代发展的一个重要特点就是,数学观已发生了革命性的变化;传统的、静态的、绝对主义的数学观逐渐为动态的、易谬的(或者说,经验与拟经验的)数学观所取代。随着新的数学观的形成就意味着数学教育教学观也要发生相应的变化,从本质上来说,数学教学就是一种数学活动,教学不应看成一系列静态的现成结论的传授,而应该是一个动态的、活动的、创造性的过程。对于中小学数学教育教学更应培养学生“好问、敢想、敢悟,善于批判,善于交流”的学习习惯,注重知识的生成,注重举一反三,让学生成为自己的知识建构者。
An important feature of the modern development of mathematical philosophy is that the mathematical concept has undergone a revolutionary change. The traditional, static and absolutist mathematical concepts have gradually become dynamic and absurd (or experiential and quasi-empirical) mathematics View replaced. With the formation of a new mathematical concept, it means that the teaching of mathematics education should also change correspondingly. In essence, mathematics teaching is a kind of mathematical activity. Teaching should not be regarded as a series of teaching of static and existing conclusions, but should be It is a dynamic, active and creative process. For primary and middle school mathematics education and teaching students should be “good to ask, dare to think, dare to comprehend, good at criticism, good communication” learning habits, pay attention to the generation of knowledge, focusing on learning from the best, let the students become their own knowledge constructors.