信息化背景下常微分方程课程教学改革探究
Exploration of Teaching Reform in Ordinary Differential Equations Course under the Background of Informatization

“常微分方程”作为数学与应用数学、信息与计算科学等专业的核心课程之一，其主要任务是深入研究仅涉及单一自变量的微分方程的性质、解法及其在各个领域的应用。目前，许多高校在常微分方程的教学中偏重于理论讲授，而往往忽视了将实际应用和思政元素融入课程的重要性。本文旨在从常微分方程课程的本质要求出发，结合信息化教学的发展趋势，以及利用教学软件实现翻转课堂的现代教育理念，探讨在“常微分方程”课程教学中进行改革的具体措施，包括课时安排的优化、考核方式的多元化以及课程实用性的增强，并深入挖掘其中的思政教育资源，以期在教学改革中实现知识传授与价值观教育的有机结合。
As one of the core courses in mathematics and applied mathematics, information and computational science, the main task of “Ordinary Differential Equations” is to conduct in-depth research on the properties, solutions, and applications of differential equations involving only a single independent variable in various fields. At present, many universities focus more on theoretical lectures in the teaching of ordinary differential equations, often neglecting the importance of integrating practical applications and ideological and political elements into the curriculum. This article aims to explore specific measures for reform in the teaching of ordinary differential equations, starting from the essential requirements of the course, combined with the development trend of information technology teaching, and the modern educational concept of using teaching software to implement flipped classrooms. These measures include optimizing class scheduling, diversifying assessment methods, and enhancing the practicality of the course. The article also delves into the ideological and political education resources within the course, with the aim of achieving an organic combination of knowledge transmission and values education in teaching reform.