《数学课程标准》把初中数学中渗透的数学思想、方法划分为三个层次,即:“了解”、“理解”和“会应用”。在教学中,要求学生“了解”的数学思想有:数形结合的思想、分类的思想、化归的思想、类比的思想和函数的思想等。在《数学课程标准》中要求“了解”的方法有:分类法、类比法、反证法等;要求“理解”的或“会应用”的方法有:待定系数法、消元法、降次法、配方法、换元法、图象法等。中学数学教学,一方面要传授数学知识,使学生掌握 Mathematical Curriculum Standard divides the mathematical ideas and methods infiltrated in junior high school mathematics into three levels: “understanding ”, “understanding ” and “applying ”. In teaching, the mathematical thinking that requires students to “understand” is: the idea of ​​combining numbers and forms, the thought of classification, the thought of changing, the idea of ​​analogy and the function of function. There are several ways to ask “understand ” in the “Mathematics Curriculum Standards”: taxonomy, analogy, and anti-proof; the methods that require “comprehension ” or “apply ” are: Pending Coefficient Method, Act, reduction method, with the method, for the yuan law, image law. Middle school mathematics teaching, on the one hand to teach mathematics, so that students master