中高衔接背景下高等数学教学模式的创新实践

Innovative Practices in the Teaching Model of Higher Mathematics under the Background of the Connection between Secondary and Higher Vocational Education

摘要: 中职学生数学基础相对薄弱，进入高职阶段后普遍表现出学习动机不足、抽象思维能力较弱等问题，这对高等数学教学带来了较大挑战。为此，本文提出一种融合“基础补偿”与“学习动力激发”的高等数学教学模式改革方案。该模式通过系统弥补初等数学知识缺漏、实施分层教学，并结合职业情境导入、启发式互动及游戏化教学方法，构建了差异化教学与个性化成长支持机制。实践结果表明，该模式显著增强了学生的学习兴趣和学习成效，推动了学生职业能力与数学素养的协同发展，为高职高等数学教学改革提供了有益参考。

Abstract: Vocational students often struggle with insufficient mathematical foundation upon entering higher vocational education, commonly leading to low motivation and underdeveloped abstract thinking skills, which pose significant challenges in teaching higher mathematics. In response, this paper proposes an innovative teaching model integrating “foundation compensation” and “learning motivation stimulation”. This approach addresses gaps in elementary mathematical knowledge through tiered instruction, incorporates vocational contexts, heuristic interaction, and gamified elements to establish a differentiated teaching and personalized growth support mechanism. Practical findings demonstrate that the model effectively enhances students’ interest and performance in learning, promotes the integration of professional competencies and mathematical literacy, and offers valuable insights for reforming higher mathematics instruction in vocational institutions.