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数学思想指的是人们对于数学理论知识以及内容本质上的认知,借此用来支配数学活动。数学方法是数学活动正常开展的形式与手段,具备一定的层次性以及操作性。在开展数学教学中渗透数学思想,同时也是引导学生确定构建解题思路,所以对于学生而言,渗透基本数学思想对于提升学生的认知水平具有极为重要的意义,同时还能够有效的推动学生的分析能力。本文在系统分析了小学数学教学中所体现出来的转化思想、分类思想以及数形结合思想的基础上,从把握数学时机、课外生活渗透以及反思中提炼数学思想等方面提出了渗透的对策。
Mathematical thinking refers to people’s knowledge of mathematics as well as the nature of the content of knowledge, which is used to dominate mathematical activities. Mathematical methods are the normal forms and means of mathematical activities, with a certain level and operability. It is very important for students to infiltrate the basic mathematics thought to improve students ’cognition level while infiltrating mathematics ideas into mathematics teaching. At the same time, it can also effectively promote students’ Skills of analyze. Based on the systematical analysis of the transformation thoughts, the classification ideas and the idea of combining numbers and figures embodied in elementary mathematics teaching, this paper presents the countermeasures of penetration from the aspects of grasping mathematics opportunity, extracurricular life infiltration and refining mathematical thought in reflection.