数形结合思想在初中数学教学中的应用策略

Research on the Application Strategy of Mathematical Thinking in Mathematics Teaching

数和形是数学教学研究客观物体中的两个方面,其中:数(代数)旨在对客观物体的数量、计量单位等进行观察和研究,其研究结果准确度较高,可信度较强;而形(几何形状)旨在对某一客观物体的形状、形态、几何状况等进行分析和探讨,其研究结果突出体现了客观性和完整性。数和形之间既有区别,又有联系,因此应将两者相结合进行数学问题的思考、研究和讨论,充分发挥二者的优势,扬长避短,数形结合、数形互化,从而达到对数学问题的有效解决,因而数形结合是一种较为科学、有效的思维方法,值得进行研究。

The number and shape are two aspects of mathematics teaching and research objects in the number(algebra) to the number of units of measurement objects were observed and studied, the research results of high accuracy, strong credibility;shape(geometry) to an objective object shape, shape and geometry are analyzed and discussed, the results of the research highlights the objectivity and integrity. There is difference between the number and shape, and links, so it should be a combination of both thinking and mathematical problems in research and discussion, give full play to the advantages of the two weaknesses,combination of the quantity and the shape of each other, so as to effectively solve the mathematical problem, so the combination of number and shape is one of the most the scientific and effective way of thinking, worthy of study.