中学常见数学思想初探

• 作 者: 郑立臣
• 机 构: 唐河县王集乡一初中,
• 出 处: 才智
• 发表日期: 2009年21期
• 关键词: 数形结合思想 化归思想 分类讨论思想 函数思想 数学科学 整体思想 化归 数学问题 数形结合 定理

一、数学思想的内涵所谓的数学思想就是人们对数学科学研究的本质及规律的认识。具体地说就是对数学知识(主要指概念、定理、法则和范例)及其研究对象的本及规律的认识。中学常见的数学思想主要有数形结合思想、分类讨论思想、化归思想、整体思想、函数思想、方程思想等等。下面对这些思想作简单的初探。

First, the connotation of mathematical thinking The so-called mathematical thinking is that people on the nature of mathematical science and law of understanding. More specifically, it is the understanding of the laws and principles of mathematics (mainly concepts, theorems, rules and examples) and its objects of study. Common mathematical ideas in high school are mainly the combination of several forms of thinking, classification of thinking, the thought of change, the whole idea, the function of thinking, equation thinking and so on. Here’s a brief review of these ideas.