高温防护服优化设计和教学实践

Optimal Design and Teaching Practice of High-Temperature Protective Clothing

摘要: 本文深入解析2018年“高教社杯”全国大学生数学建模竞赛A题。首先利用微元法建立了高温多层防护服的偏微分方程数学模型，然后对其进行数值差分，然后根据附件数据对外层和内层数据进行拟合，得到防护服内侧和外侧的热交换系数。通过有效地教学案例实践，能够更加有效激发学生的好奇心和学习数学的原动力。在此基础上，本文从教学设计、课堂实施与考核评价等方面给出了该案例的完整教学过程，并基于教学实践进行了教学反思，以期为高校数学建模课程的教学改革提供参考。

Abstract: This article provides an in-depth analysis of Problem A from the 2018 “Higher Education Press Cup” National College Student Mathematical Modeling Competition. Initially, a partial differential equation mathematical model for high-temperature multi-layer protective clothing was established using the method of infinitesimals. Subsequently, numerical differentiation was performed on the model. Based on the accompanying data, the outer and inner layers were fitted to obtain the heat exchange coefficients on the inside and outside of the protective clothing. Through effective teaching case practice, we can more effectively stimulate students’ curiosity and drive to learn mathematics in the future. On this basis, this paper presents the complete teaching process of this case from the aspects of teaching design, classroom implementation and assessment evaluation, and carries out teaching reflection based on the teaching practice, in order to provide reference for the teaching reform of mathematical modeling courses in colleges and universities.