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数学思想方法是数学概念、理论的相互联系和本质所在,是对数学规律的理性认识和本质体现。数学思想方法的教学是我们数学教学中所要探讨的一个重要问题。学生在数学学习中掌握了数学思想方法,既可以提高理论水平,又可以用它指导做题实践。笔者认为《数列》教学中只有重视“数学思想方法”的挖掘与运用,让学生站到思想的高度去认识数列的本质,才有利于学生学好数列知识。一、函数与方程的思想函数与方程的思想是指用函数的概念、性质、图像去分析问题、转化问题和解决问题的一种重要的思维方式,是很重要的数学思想。它就是用运动、变化的观点,分析、研究某具体问题中的一些相互制约的变量,通过建立函数关系来研究这些变量之间的相互
Mathematical thinking method is the concept of mathematics, the relationship between the theory and the essence, is a rational understanding of the laws of mathematics and essence. The teaching of mathematical thinking and method is one of the important issues to be explored in our mathematics teaching. Students grasp the mathematical thinking in mathematical learning methods, both to improve the theoretical level, but also can use it to guide the practice of doing things. The author believes that “sequence” teaching only focuses on the “mathematical thinking and methods” of mining and application, so that students stand to the height of ideas to understand the essence of the series, it is conducive to learning a few series of knowledge of students. First, the function and equation of thought The idea of function and equation refers to the concept of the function, the nature of the image to analyze the problem, the problem of transformation and an important way of thinking is a very important mathematical thinking. It is to analyze and study some mutually constrained variables in a specific problem by using the viewpoint of movement and change, and to study the mutual relationship among these variables through the establishment of a functional relationship