高等数学的学习离不开解题,解题的过程就是解决问题的过程,高等数学有完整的理论系统,但是解题却没有相应的理论框架和统一的方法.本文提出“结构分析–形式统一法”解题方法,将解题分为两个阶段:第一阶段:利用“结构分析法”,探测题目的结构,确立“解题思路”;第二阶段:利用“形式统一法”,寻找解题的技巧,完成“解题过程”。 The study of advanced mathematics cannot be separated from solving problems. Problem-solving is the process of solving a problem. Advanced mathematics has a complete theoretical system, but there is no corresponding theoretical framework and unified method for solving problems. This paper puts forward the problem-solving theory of structural analysis and formal unification, and divides the problem-solving into two stages: the first stage is to use “structural analysis method” to explore the structure of the topic and establish “problem solving ideas”; the second stage is to use “formal unification method” to find the skills of problem solving and complete the “problem solving process”.
展开▼
机译:高等数学的学习离不开解题,解题的过程就是解决问题的过程,高等数学有完整的理论系统,但是解题却没有相应的理论框架和统一的方法.本文提出“结构分析–形式统一法”解题方法,将解题分为两个阶段:第一阶段:利用“结构分析法”,探测题目的结构,确立“解题思路”;第二阶段:利用“形式统一法”,寻找解题的技巧,完成“解题过程”。 The study of advanced mathematics cannot be separated from solving problems. Problem-solving is the process of solving a problem. Advanced mathematics has a complete theoretical system, but there is no corresponding theoretical framework and unified method for solving problems. This paper puts forward the problem-solving theory of structural analysis and formal unification, and divides the problem-solving into two stages: the first stage is to use “structural analysis method” to explore the structure of the topic and establish “problem solving ideas”; the second stage is to use “formal unification method” to find the skills of problem solving and complete the “problem solving process”.
展开▼