本文旨在探讨如何运用5E教学模式来优化高等数学课程中关于多元函数条件极值的教学。通过案例分析、理论讲解、实操演练和评估反馈等步骤,提高学生对拉格朗日乘数法的理解和应用能力,同时培养其从实际问题中提炼多元函数关系并解决问题的技能。通过精心设计的教学活动,学生不仅将掌握理论知识,还将学会如何将这些知识应用于解决实际问题。This paper aims to discuss how to use the 5E teaching mode to optimize the teaching of conditional extremum of multivariate function in higher mathematics. To enhance students’ understanding and application of Lagrange multiplier by means of case studies, theoretical explanations, practical exercises and assessment feedback, at the same time, we should cultivate their skills of extracting multivariate function relations from practical problems and solving problems. Through carefully designed teaching activities, students will not only master the theoretical knowledge, but also learn how to apply this knowledge to solve practical problems.
