减轻负担,提高质量,是矛盾统一体中的两个侧面。造成学生负担过重的原因主要有二:一是“题海战术”的影响,学生疲于应付,压抑了学习的主动性;二是教学不得法,造成恶性循环。教学实践证明:在正确思想指导下,遵循知识的“序”和学生认识上的“序”,不断探究教学方法,就能达到既减轻过重负担,又提高教学质量的目的。现就统编教材高中数学第四册“导数和微分”一章的教学实践,谈谈个人的一些粗浅体会。一、明确教学目的把握教学主线“导数和微分”是研究函数及其图象性质的一个新工具,是研究积分、微分方程等变量数学的必备的重要基础知识。这一章教材的特点是三多:一是概念多(如平均变化率、瞬时变化率、连续、可导、导函数、微分等);二是公式多(共有十四个求导公 To reduce the burden and improve the quality are the two sides of the unity of contradictions. There are two main reasons that cause students to overburden: First, the impact of the “sea tactics”, students struggling to cope with, depressed the initiative of learning; Second, teaching can not law, resulting in a vicious circle. Teaching practice has proved that under the guidance of correct thinking, following the “preface” of knowledge and “preface” of students' cognition, the continuous exploration of teaching methods can achieve the purpose of reducing the excessive burden and improving the teaching quality. Now on the compilation of textbook high school mathematics fourth volume “derivative and differential” chapter of teaching practice, talk about some of the personal experience. A clear teaching purpose Grasp the main line of teaching “derivative and differential” is a new tool to study the function and its image nature, is an important basic knowledge for the study of variable mathematics such as integral, differential equations. This chapter is characterized by more than three materials: First, many concepts (such as the average rate of change, instantaneous rate of change, continuous, can guide, derivative, derivative, etc.); Second formula