教学、科研与实践深度融合：优化计算数学课程教学的策略与实践研究

Deep Integration of Teaching, Research and Practice: Strategies and Practices for Optimizing Computational Mathematics Teaching

摘要: 本文主要以地震波数值模拟为例，通过深入分析教学内容、教学方法以及科研–实践结合方式，针对当前计算数学课程教学中存在的一些问题，如教学内容与科研最新进展脱节、实践教学环节薄弱等，提出优化计算数学课程教学的策略。在教学内容方面，通过将最新的科研成果和最前沿技术引入其中，使学生能够及时掌握最新的科研成果和最前沿的技术发展，为他们的未来学术研究奠定基础。在实践教学方面，我们通过提出一系列改进实践教学方法，如：引进最新科研成果的实验设计、校企深度合作等，强调了实践、教学和科研三者结合的重要作用，使学生能够在实践中发现问题、解决问题，培养科研创新思维能力。本论文旨在为计算数学课程教学提供借鉴参考，推动计算数学教学、科研与实践深度融合，优化课程教学方法，提高课堂教学质量。

Abstract: This paper takes the numerical simulation of wave equation as an example, aiming at some existing problems in the teaching of computational mathematics, such as the disconnection between the curriculum, the latest advancements in scientific research and the deficiencies in practical teaching, further proposes some optimizing strategies for teaching technique of computational mathematics through in-depth analysis of teaching content, teaching method and the research-practice combination. In terms of teaching content, introducing the latest scientific research results and the most cutting-edge technology enables students to remain informed, and laying the foundation for their future academic research. In terms of practical teaching, the importance of the combination of practice, teaching, and scientific research is emphasized by introducing a series of practical teaching methods, such as introducing the latest scientific research experimental designs and extensive collaboration between educational institutions and enterprises, in order to encourage students to find and solve problems in practice, and cultivate their innovative thinking and scientific research ability. The purpose of this paper is to provide useful reference for the teaching of computational mathematics, promote the deep integration of teaching, scientific research and practice, optimize the teaching methods, and improve the quality of computational mathematics classroom teaching.