数学与应用数学师范专业认证背景下《常微分方程》课堂教学探究

Exploration on Classroom Teaching of “Ordinary Differential Equations” under the Background of Mathematics and Applied Mathematics Teacher Professional Certification

摘要: 本文在师范认证背景下探究师范专业《常微分方程》课程的模块化教学。将案例教学穿插到抽象的理论基础课程的教学中，适时引入探究式、提问互动式、案例讨论、问题学习等方法进行组合授课，既有利于学生形成正确的数学观，立足学科思想和方法，拓宽专业视野，也有利于培养学生熟练应用信息技术和数学软件，以及在教育实践中善于发现问题、解决问题的能力。

Abstract: This article explores modular teaching of the “Ordinary Differential Equations” course in the context of teacher certification. The integration of case-based teaching within the abstract theoretical foundation course, timely introducing inquiry-based, interactive questioning, case discussions, and problem-based learning methods for combined teaching, is not only beneficial for students to form a correct view of mathematics, and to ground themselves in disciplinary thoughts and methods to broaden professional horizons, but also advantageous in nurturing the ability to skillfully apply in-formation technology and mathematical software, and the proficiency to identify and solve problems in educational practice.