高等代数课程的教学改革与实践

Reform and Practice in Teaching Advanced Algebra

摘要: 文章旨在探讨高等代数课程教学改革的目标、面临的挑战以及具体实践策略，以提升学生的数学应用能力、创新思维能力和跨学科综合素质。明确了高等代数课程教学改革的目标，强调了培养学生解决实际问题的能力和增强创新意识的重要性。分析了当前高等代数课程面临的挑战，包括课程内容与新工科需求的脱节、传统教学方法的局限性及学生学习动机不足等问题。这些挑战阻碍了学生的全面发展，亟需通过改革来解决。因此，提出了一系列教学改革的思路与策略。在具体实践方面，详细阐述了课程设计、教学实施和评价体系改革等方面的举措。通过修订教学大纲、合理安排教学进度、设计模块化教学内容，结合多元化考核方式与过程性评价，建立学生自评与互评机制，全面提升教学效果。本研究为新工科背景下高等代数课程的教学改革提供了系统的思路与实践指导，以期培养适应时代发展需求的高素质人才。

Abstract: This paper aims to explore the goals, challenges, and specific practical strategies of the teaching reform of the Advanced Algebra course, so as to improve students’ mathematical application ability, innovative thinking ability, and interdisciplinary comprehensive quality. It clarifies the goals of the teaching reform of Advanced Algebra, emphasizing the importance of cultivating students’ ability to solve practical problems and enhancing their innovative awareness. It analyzes the current challenges faced by the Advanced Algebra course, including the disconnection between the course content and the needs of emerging engineering disciplines, the limitations of traditional teaching methods, and students’ insufficient learning motivation. These challenges hinder the all-round development of students and urgently need to be addressed through reform. Therefore, a series of ideas and strategies for teaching reform are proposed. In terms of specific practice, this paper elaborates on the measures in curriculum design, teaching implementation, and evaluation system reform. By revising the teaching syllabus, reasonably arranging the teaching progress, designing modular teaching content, combining diversified assessment methods with process-oriented evaluation, and establishing a student self-evaluation and mutual evaluation mechanism, the teaching effect is comprehensively improved. This paper provides systematic ideas and practical guidance for the teaching reform of Advanced Algebra in the background of emerging engineering disciplines, aiming to cultivate high-quality talents who meet the needs of the times.