文章首先从四个方面提出了新工科背景下线性代数课程思政的挖掘方式与教学目的,即教师在传授知识的过程中通过线性代数包含的数学文化故事、与之相关的生活案例、科学实践以及课程本身所蕴含的传统文化和哲学道理来培养学生的家国情怀、爱国主义、科研精神以及唯物主义辩证思想。其次,探索并给出了线性代数教学中课程思政的实践路径,从而为教师在新工科背景下线性代数教学中融入课程思政提供一定的参考。This paper first proposes the exploration methods and teaching objectives of courses ideological and political education from four aspects in linear algebra under the background of new engineering, that is, during the process of imparting knowledge, teachers should cultivate students’ patriotism, scientific research spirit, and materialistic and dialectic philosophy through traditional culture and philosophical principles contained in mathematical cultural stories, related life cases, scientific practices, and the curriculum itself of linear algebra. Secondly, the practical paths of integrating ideological and political education into linear algebra teaching have been explored and provided, thus it provides some reference for teachers to integrate ideological and political education into linear algebra teaching in the context of new engineering.