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人类在不断地认识无限中获得理性哲理,无限推动着数学的发展,可以说,整个数学的发展就是无限的发展史。但中学阶段对无限的认识隐含在相关数学概念中,并没有明示。学生是怎样认识无限的?笔者从脍炙人口的诗歌出发,将诗歌的意境与数学无限紧密联系,调查分析了初二学生对数学无限认识水平,将数学文化的理念落实到数学课堂教学,倡导培养中学生的无限观。
As mankind gains rational philosophy in endlessly knowing infinite and infinitely advances the development of mathematics, we can say that the development of mathematics as a whole is an infinite history of development. However, the indepth knowledge of secondary school is implicit in the related mathematical concepts and is not explicitly stated. How does the student know the infinite? The author starts from the popular poetry, connects the artistic conception of the poem and mathematics infinitely closely, investigates and analyzes the sophomore students’ infinite understanding of mathematics, puts the concept of mathematical culture into mathematics classroom teaching, advocates the training of middle school students Infinite view