摘要数学思想方法是人们在数学教学活动中提炼出的思维形式,是对数学的本质认识。数学思想方法主要有分类讨论思想、数形结合思想、化归思想等等。不同的思想方法适用不同类型的题目,相同的题目可以用不同的数学思想方法解题。如何让学生在解题中发挥数学思想方法的作用是我们值得思考的问题。本文通过查找资料的方法对杭州近三年的中考题进行剖析,而且还探讨了各类数学思想方法在课堂教学中的应用。因此,在数学教育教学中,教师要认识到数学思想方法的教育价值和意义,同时加强数学思想方法的教导。48265
Mathematics thinking method is a thought pattern which is extracted from teaching activities and is on Knowledge of Mathematics Nature. Mathematical thinking methods mainly include classified discussion thought, number-shape combination thought, return thought and so on. Different methods of thoughts are suitable for various types of questions, and you can use different thought to solve the same subjects. How to make mathematical thinking method play a role in solving problems is a profound question. This paper by means of finding out information of examination of Hangzhou nearly three years are analyzed, and also discusses mathematical thinking method which are applied in classroom instruction. Therefore, in mathematics education teaching, the teacher should realize education value and significance, at the same time also should strengthen mathematical thought method teaching.
毕业论文关键词:数学思想方法; 分类讨论思想; 数形结合思想;课堂教学
Keyword: Mathematical thinking method; classified discussion thought;
number-shape combination thought;Classroom instruction
目 录
1引言 4
2数学思想方法的基本内容 4
2.1数学思想方法的概念 4
2.2数学思想方法的分类 4
3数形结合思想方法 5
3.1数形结合思想的概念 5
3.2数形结合思想在中考题中的体现 5
3.2.1在数据统计(或图表)中的应用 5
3.2.2在几何图形中的应用 6
3.2.3在函数中的应用 7
3.3数形结合思想的课堂教学 8
3.3.1通过概念教学渗透数形结合思想 8
3.3.2通过数学解题渗透数形结合思想 8
3.3.3数形结合思想实施中的注意点 8
4分类讨论思想 8
4.1分类讨论思想的基本内容 8
4.1.1分类讨论思想的概念 8
4.1.2分类讨论思想的步骤 9
4.2分类讨论思想在中考题中的体现 9
4.2.1依据题意进行讨论 9
4.2.2涉及几何元素位置变化的讨论 10
4.2.3与数学概念、定义有关的讨论 11
4.3分类讨论思想的课堂教学 12
5化归思想 12
5.1化归思想的概念 12
5.2化归思想在中考题中的体现