初中数学思想方法及其教学初探.docVIP

. . 论文：初中数学思想方法及其教学初探 摘　要 数学思想方法是数学知识的精髓，又是知识转化为能力的桥梁。在数学教育中要提高学生的数学素质，必须指导学生掌握好数学思想方法，这也是数学教学中重要的一环。目前的初中阶段，主要的数学思想方法有：数形结合的思想、分类讨论的思想、整体思想、化归思想、类比联想、逆向思维等。本文主要概括总结了初中数学中的思想方法及其在解题中的一些应用，并结合数学思想方法的作用对其教学实施进行了初步探索，提出了在概念教学及公式教学中渗透数学思想方法的基本教学理念。 关键词： 数学思想方法 转化 类比 教学 ABSTRACT Mathematical thinking method is the essence of mathematical knowledge, and also the bridge of knowledge into ability. In mathematics education, to improve the students mathematical quality, we must guide the students to master the mathematical thinking method, which is also an important part of mathematics teaching. At present junior high school stage, the main mathematical thinking methods are: the combination of figures and shapes, the idea of classification discussion, the overall idea, the idea of conversion, analogy, association, reverse thinking, etc.. This paper mainly summarized the method of thinking in junior high school mathematics and its application in solving problems, and mathematical thought and method of exploring the implementation of the teaching, puts forward the basic idea of teaching of mathematics thought method in concept teaching and teaching in the formula. Keywords: Mathematical thinking method；conversion；analogy；teaching 目 录 1.引言...................................... . . ...................1 1.1问题的提出....................................................1 1.2研究数学思想方法的目的........................................1 1.3研究数学思想方法的意义........................................1 2.数学思想方法简介..................................................1 2.1数学方法......................................................1 2.2数学思想......................................................1 3.初中数学中的数学思想方法..........................................2 3.1数形结合思想..................................................2 3.2分类讨论思想..................................................2 3.3逆向思维......................................................3 3.4整体思想......................................................3 3.5类比联想的思想........