常微分方程课程中的线性微分方程组的解的存在唯一性定理的教学改革探讨

The Reform of Solutions of Existence and Uniqueness of Group forOrdinary Differential Equations Instruction

以建构主义的学习理论为基础 ,结合学习的实际情况和已有的经验背景 ,创建合适的学习情境 ,对常微分方程课程中的线性微分方程组的解的存在唯一性定理的教学过程进行了改革 ,具体做法是 ,减少讲授时数 ,将讲课时间控制在10min之内 ,而将大部分时间用于学习自己练习以及学习之间、学生与教师之间的交流的探讨 ,使学生能够综合贯通 ,形成完整的知识结构。

Solutions of existence and uniqueness of group for ordinary differential equations is a curricular which consiste of a great theory and deal skills.To instuct it by traditional classroom teaching method is not fitful.Thus,we do the instruction reform of solutions of existence and uniqueness of group ordinary differential equations.The theoretical basis of the instructional reform is the learning theory of constructism.The way of the instructional reform is reducing the teaching time to the range of ten minutes and leaving the other time of a class to the students who drill by themselves with the direction of the teacher.The key of the instructional reform is constructing proper learning situations for the students.