常数变易法的教学策略  

The Teaching Strategies of Constant-transform Method

作　　者：杜玲玲[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《教育与教学研究》2010年第2期101-103,共3页Education and Teaching Research

摘　　要：在数学教学中探索数学方法的思维来源和思维过程远比数学方法本身重要得多。因此,微分方程中常数变易法的教学可分别从由来、证明和应用三部分展开:一是初步探讨;二是尝试证明;三是因材施教,探索常数变易法在其他数学问题中的应用,如在解二阶常系数线性非齐次方程、解非线性微分方程时的应用,以及在中学数学中的应用等。Exploring the conception origin and the thinking process of mathematical method in mathematics teaching is far more impor- tant than the method itself. Therefore, the teaching of the constant - transform method in the differential equations can fell into fire following three parts according to its origin, proof and application： 1. the preliminary disenssion;2, the attempt of proof; 3. teaching students according to their aptitude. The method includes exploring application of the constant - transform method in other mathematical problems such as the solving second- order non- homogeneous hnear differential equation with constant coefficient, the solving nonlinear differential equation, and the applications in the elementary mathematics teaching.

关 键 词：常数变易法 由来 证明 应用 

分 类 号：G642[文化科学—高等教育学] O175.1[文化科学—教育学]