石油院校工科特色教材《高等数学》探索实践

Exploration and Practice in Developing an Engineering-Oriented “Advanced Mathematics” Textbook for Petroleum Universities

摘要: 教材建设是课程建设的重要组成部分，也是落实人才培养目标、提升本科教学质量的重要支撑。高等数学作为工科专业核心基础课程，其教材建设应在契合教学大纲和课程基本要求的前提下，结合行业特色和院校人才培养需求，对教学内容进行有针对性的组织与优化。依托我校高等数学课程长期建设积累，课程团队编写出版了《高等数学》上下册及配套教辅。教材建设遵循“立足课程目标、优化教学内容、强化能力培养、拓展资源支撑”的思路，在保证课程基础性、系统性和规范性的同时，融入数学实验、石油行业建模案例、数字化资源和课程育人元素。阶段性教学实践表明，该教材在试用过程中较好体现了知识传授、能力培养与学习支持相结合的建设理念，并在提升学生工程计算意识、建模应用意识和自主学习能力方面显示出一定积极作用。文章对其建设思路、主要做法、试用反馈及后续改进方向进行总结，以期为行业特色院校高等数学教材改革提供参考。

Abstract: Textbook development is an important component of curriculum development and an essential support for implementing talent cultivation goals and improving the quality of undergraduate education. As a core foundational course for engineering majors, “Advanced Mathematics” textbook development should, while conforming to the teaching syllabus and basic course requirements, organize and optimize teaching content in a targeted manner by taking into account industry characteristics and institutional talent cultivation needs. Based on the long-term development of the “Advanced Mathematics” course at our university, the teaching team compiled and published the upper and lower volumes of “Advanced Mathematics” together with corresponding supplementary materials. Following the approach of “adhering to course objectives, optimizing teaching content, strengthening competency cultivation, and expanding resource support,” the textbook incorporates mathematical experiments, petroleum-related modeling cases, digital resources, and curriculum-based educational elements while maintaining the foundational, systematic, and standardized nature of the course. Staged teaching practice shows that, during its trial use, the textbook effectively embodied the construction concept of integrating knowledge instruction, competency development, and learning support, and showed positive effects in enhancing students’ engineering computation awareness, modeling application awareness, and autonomous learning ability. This paper summarizes the construction ideas, main practices, trial-use feedback, and subsequent improvement directions of the textbook, with the aim of providing a reference for the reform of “Advanced Mathematics” textbooks in industry-oriented universities.