数字化资源和数学方法论协同的高等代数线上线下课程建设探索

Construction of online and offline courses in Advanced Algebra under the combination of Mathematical methodology and digital resources

高等代数是飞行器动力工程专业的基础必修课程,在专业培养体系中起着重要作用。文章针对一直以来学生表现出的抽象概念缺乏数学方法论、引例缺少数字化资源和自主学习缺少数字化工具等问题,阐述如何通过构建数字化资源,并借助线上课程将数学方法论及其他启发性内容融入线下课程主体的方式,建设一门面向抽象思维能力和自主学习能力培养的高等代数课程,为卓越航空工程师的培养提供参考和借鉴。

Advanced Algebra is a fundamental and compulsory course in Aircraft Power Engineering,playing an important role in the professional training system.The article aims to address the problems of abstract concepts lacking mathematical methodology,examples lacking digital resources,and self-learning lacking digital tools that students have always shown.It elaborates on how to construct digital resources and integrate mathematical methodology and other inspiring content into the main body of offline courses through online courses,in order to build an advanced algebra course that focuses on the cultivation of abstract thinking ability and self-learning ability,providing reference and inspiration for the cultivation of outstanding aviation engineers.