简谈数形结合思想在小学和中学的应用VIP专享

简谈数形结合思想在小学和中学的应用摘 要:数形结合思想是一种数学思想方法，它的用途是使抽象的问题具体化，复杂的问题简单化，以达到优化解题，正确解题的目的。数形结合思想从小学教学就开始渗透，小学生的思维是具体的、形象的。那么，在数学教学中老师通常会将图形和概念结合起来讲解，这样一来学生便不会觉得数学是一门枯燥且学不懂的学科了，也会让学生产生学习的兴趣。在初中的数学教学中，我们会发现很多知识都会结合数形结合思想来学习。数形结合思想已然成为了优化解题的重要方法之一，也对提升学生的综合解题能力有一定的帮助。在高中的数学学习中，数形结合思想可谓是贯穿整个高中的数学教学过程，对学生的数学思维的构建起到了重要作用。并且，由于几何和代数在高中阶段已经有了明显的分化，而数形结合思想却巧妙的将二者再次结合、统一起来了。进一步提高了解题效率，优化了解题步骤。总之，数形结合思想是我们数学学习过程中的一大重要且持久的思想。关键词:数形结合思想 ;小学数学;中学数学 A Brief Talk on the Application of the Combination of Number and Shape in Primary and Middle SchoolAbstract: The combination of number and shape is a method of mathematical thinking. Its main purpose is to make abstract problems concrete and make complex problems simple so that it can achieve the purpose of optimizing and solving problems correctly. The thought of combination of number and shape permeates from primary school teaching and pupil’s thinking is specific, figured. So teachers usually combine graphic and concepts to explain in mathematical teaching, which not only makes students be focused and more is easier for them to learn but also let them develop an interest in learning. In junior high school mathematics teaching, we can find easily that a lot of knowledge is combined with the thought, combination of number and shape, to learn. So we can see that the thought has become one of the important methods to optimize the problem solving and is also helpful to imp...