《线性代数》课程教学的创新实践

Innovative Teaching Practices for the Course of Linear Algebra

摘要: 针对线性代数教学过程中的突出问题，从教学内容、教学模式、评价体系三个方面对课程教学进行了创新实践。首先，在教学内容方面，以思维进阶为主线，重构教学内容和结构；以能力培养为目标，实现“问题驱动、产出导向”；以学生兴趣为中心，运用多种方式可视化教学。其次，在教学模式方面，以慕课网站拓展课下、以智慧软件辅助课上，实现了大班课堂课前课上课下的有机结合。第三，建立多维化过程评价体系，借助于慕课平台的AI应用，综合评价学生的学习过程。

Abstract: Addressing the prominent issues in linear algebra instruction, this paper presents innovative practices in curriculum teaching from three aspects: teaching content, teaching mode, and evaluation system. First, regarding teaching content, the curriculum structure is reconstructed with cognitive progression as the main thread; with competency development as the goal, a “problem-driven and output-oriented” approach is implemented; centered on students’ interests, various visualization methods are employed in teaching. Second, in terms of teaching mode, MOOC platforms are utilized to extend learning beyond the classroom, and intelligent software assists in-class instruction, achieving an organic integration of pre-class, in-class, and after-class activities in large class teaching. Third, a multi-dimensional process evaluation system is established. It comprehensively assesses students’ learning processes by leveraging AI applications on MOOC platforms.