数形结合在中学数学中的运用 毕业论文.docVIP

数形结合在中学数学中的运用 内容摘要 数学教学内容贯穿着两条主线:即数学基础知识和数学思想方法。数学基础知识是一条明线，直接用文字形式写在教材里,反映着知识间的纵向联系.数学思想方法则是一条暗线，反映着知识间的纵向联系。常常隐藏在基础知识的背后。需要人们加以分析，提炼才能使之显露出来。 数学思想方法能使学生领悟数学的真谛，懂得数学的价值，学会数学地思维，能把知识的学习、培养能力和发展智力有机地统一起来。因而研究数学思想方法在数学教学中的作用有着重大的意义。正如F克莱恩呼吁:“要让学生看到数学建造过程的脚手架，而不是简单的现品。” 数学是研究空间形式和数量关系的科学，因此数形结合思想是重要的数学思想方法之一，从数的概念的形成和发展，到微积分的产生及现代数学各分支学科的形成，都是与数形的完美结合分不开的。“数”与“形”也是贯穿整个中学数学教材的两条主线，“数”与“形”的相互转化、结合更是解题的重要方法。本文主要从以下几个方面进行阐述: (1)数形结合思想方法概述，简要介绍数形结合思想的历史演进;(2)数形结合思想方法在中学数学教学中的地位; (3)数形结合思想方法在中学教学中的应用; (4)分析数形结合思想方法教学对学生的培养功能; (5)数形结合思想方法的教学实施。 关键词:数形结合思想方法 中学数学教学 数形结合思想方法教学 教学途径 1 The apply of Number—shape Combination in the middle school Math teaching Abstract Mathematics teaching content link the two strands: namely mathematics elementary knowledge and the mathematical way of thinking. Mathematics elementary knowledge is a open wire ,use direct text written in the teaching form, reflecting the longitudinal contact between knowledge. Mathematical way of thinking is a wiring, reflecting the longitudinal contact between knowledge. Often hidden in the basic knowledge of behind. People need to analyze and refining to enable them to reveal. Mathematical way of thinking can make students understand the essence of mathematics, know the value of mathematics, to learn mathematics thought, can put the knowledge learning and cultivating ability and developing intelligence organically combine. Therefore, the study of mathematical way of thinking in the teaching of mathematics action is of great significance. As F Klein appeal: let the student saw mathematical building process of scaffolding, rather than simply now goods. Mathematics is the study of the form of the space and the quantitative relationship between science, so few form combining thought is one of the important mathematical way of thinking from several concepts, the formation and development, to calculus the