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数学思想和方法是数学的精髓,是联系数学中各类知识的纽带。数学知识是定型的、静态的,而数学思想和方法是发展的、动态的。知识的记忆是暂时的,思想和方法的掌握是永久的。知识只能使学生受益于一时,而思想和方法将使学生受益终生。故此,在课堂教学中更新教学观念,渗透数学思想和方法,对数学教学工作者来说是一份艰巨而富有意义的工作。
Mathematical ideas and methods are the essence of mathematics and are the link that connects all kinds of knowledge in mathematics. Mathematical knowledge is stereotyped and static, while mathematical ideas and methods are developmental and dynamic. The memory of knowledge is temporary, and the mastery of ideas and methods is permanent. Knowledge can only benefit students for a while, and ideas and methods will benefit students for a lifetime. Therefore, updating teaching concepts and infiltrating mathematical ideas and methods in classroom teaching are difficult and meaningful tasks for mathematics teaching workers.