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一数学思想方法教学的地位和作用数学思想是人们对数学本质认识的反映,是数学思维的结晶和概括,它直接支配着数学的实践活动,是解决数学问题的“灵魂”而数学方法则是数学思想的表现形式,是实现数学思想的手段,是解决数学问题的“工具”,数学思想和教学方法合为一谈,称之为“数学思想方法”,任何数学问题的解决,无不以某些数学思想作为指导,所以,数学思想带有理论性特征,数学方法却具有实践性倾向。义务教育初中数学教学大纲指出:“初中数学的基础知识是初中代数、几何中的概念、法则、性质、公式、公理、定理以及由其内容反映出来的数学思想和方法,”把数学思想和方法纳入数学基础知识,既揭示了数学思想和方法的
The position and role of a mathematics thinking method of teaching Mathematical thinking is a reflection of people’s understanding of the nature of mathematics, is the crystallization of mathematics thinking and generalization, it directly dictates the practice of mathematics, is to solve the mathematical problem of the “soul” while the mathematical method is The form of expression of mathematics thinking is a means to realize mathematics thinking. It is a “tool” for solving mathematics problems. The combination of mathematics ideas and teaching methods is called “mathematical thinking and method”. Any solution to a mathematics problem is a matter of course. These mathematical ideas are used as a guide. Therefore, mathematical thoughts have theoretical characteristics and mathematical methods have practical tendencies. The junior high school mathematics syllabus for compulsory education points out: “The basic knowledge of junior high school mathematics is the concepts, rules, properties, formulas, axioms, theorems of junior high school algebra, geometry, and the mathematical ideas and methods reflected by its contents,” the mathematical ideas and methods Including the basic knowledge of mathematics not only reveals the thoughts and methods of mathematics