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概念是对事物的本质认识,是逻辑思维最基本的形式.数学概念是数学教学的核心,学生对概念的理解水平关乎着数学学习的理解,很多学生畏惧数学缘于对数学概念的不理解.实际教学过程中,教师往往侧重于概念的应用性,而忽视概念的整体性和本质教学.建构主义认为,概念教学不在于概念的本身,而是在于概念的建构过程和学生的思维创造.本文以“用二分法求方程的近似解”一节课对概念的生成教学谈谈自己肤浅的认识,以求教于同行.
Concept is the essential understanding of things. It is the most basic form of logical thinking. Mathematical concepts are the core of mathematics teaching. Students’ understanding of concepts is related to the understanding of mathematics learning. Many students are afraid of mathematics because of their incomprehension of mathematical concepts. In the actual teaching process, teachers tend to focus on the application of concepts, while ignoring the concept of the integrity and the nature of teaching. Constructivism believes that the concept of teaching is not in the concept itself, but in the construction of the concept and the students’ thinking and creativity. Use the “approximate solution to solve the equation by the dichotomy” to talk about the superficial understanding of the concept of generative teaching and ask for advice from colleagues.