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学生的学习过程,是一个不断具体研究新问题,抽象概括形成经验,新问题成为熟知问题,不断积累,构建学生知识体系的过程。观察一个新数学问题,通过对数学问题多次具体化实验,研究它们的共性,得到性质或规律,对它下定义,并翻译为代数语言、几何语言、解析几何语言,这是对实际应用问题的最初级的抽象化;利用定义下的性质和规律去解决实际问题,这是具体化。学生遇到的数学问题分为熟知问题和新问题,熟知问题
The learning process of students is a process of continuously and concretely studying new problems, abstracting and generalizing experiences, becoming familiar issues and accumulating and constructing students’ knowledge systems. Observe a new mathematical problem, through the specific experiments on mathematical problems, study their common nature, get the nature or law, define it and translate it into algebraic language, geometric language, analytic geometry language, which is the practical application of the problem The first level of abstraction; the use of the definition of the nature and law to solve practical problems, it is concrete. Students encounter mathematical problems are divided into familiar problems and new problems, familiar with the problem