摘要：以解方程为例论述了化归思想方法在中学数学教学中的应用，以此说明其对促进数学课程改革的不断深入，提高数学课堂教学质量，提高学生学习效率，提高中学数学教师的专业素质均有重要意义。%To solve the equation as the example discusses in the middle school mathematics teaching to the thinking the converting thouhgt and methods to promote the mathematics curriculum reform: Improving teaching quality of mathematics classroom;To improve the students' study efficiency;High school mathematics teachers' quality has important effect.
摘要：比较了人教版、北京版和北师大版初中数学教材中“反比例函数”第一节内容与例习题编排的异同，认为教师在教学中应借助具体实例的分析加强学生对函数的理解，应注重函数的多种表示，加强对变量、运动、变化的体现与分析。%According to the people's education press, Beijing publishing house and the Beijing Normal University Publishing House of the math teaching in the "inverse proportion function" the first section comparison as a carrier, illustrate how with specific function of learning to promote students to understand the concept of function.
摘要：It is no doubt how to problem-solving for the importance to learn calculus. It is more common phenomenon for the beginners not to start to solve questions. In this paper, for the types of typical problems in calculus, systematically summed up the general method of solution, and gives some typical examples.%无穷小量阶的问题用等价无穷小代换定阶法、泰勒公式（Taylor）定阶法、求导定阶法解题；函数零点或方程实根或两曲线交点的存在性问题，要先找函数再定区间，然后用介值定理或罗尔定理；积分区间关于原点对称的定积分，要想到考查被积函数及其代数和的每一部分是否具有奇偶性；被积函数为周期函数的定积分，要想到考查积分区间是否为整数倍的周期，以简化计算。
