基于“一中心双课堂三融合”的高等数学混合式教学模式研究与实践

Research and Practice on the Blended Teaching Mode of Advanced Mathematics Based on “One Center, Two Classrooms and Three Integrations”

摘要: 立足军队院校高等数学课程的育人目标与教学特点，本文构建“一中心双课堂三融合”混合式教学模式。“一中心”即以问题驱动为核心重组课程知识架构；“双课堂”依托线上数字化资源课堂与线下实体面授课堂联动，打造闭环协同教学体系；“三融合”则将军事特色内容、课程思政内涵、前沿科技要素嵌入教学全过程，实现多维要素深度融入。研究搭建“基础层–建构层–拓展层”递进式三级问题链，配套设计课前预习、课中研学、课后巩固一体化全流程教学实施方案。教学实践证实，该模式能够显著提升学员课程学业水平与自主探究学习能力，可为军队院校基础课程混合式教学改革提供参考。

Abstract: Based on the educational goals and teaching characteristics of the Advanced Mathematics course in military academies, this paper proposes a blended teaching model named “One Center, Two Classrooms and Three Integrations”. The “One Center” indicates restructuring the curriculum knowledge framework with problem-driven learning as the Center. The “Two Classrooms” builds a closed-loop collaborative teaching system by linking the online digital resource classroom with the offline face-to-face classroom. The “Three Integrations” embeds military-themed content, curriculum-based ideological and political education, and cutting-edge technological elements into the whole teaching procedure to realize in-depth integration of multiple dimensions. This study constructs a progressive three-tier problem chain including the Basic Layer, Construction Layer and Expansion Layer, and formulates an integrated full-process teaching implementation scheme covering pre-class preparation, in-class research learning and after-class consolidation. Teaching practices have proven that this model can effectively improve cadets’ academic performance and independent inquiry capabilities, and serve as a reference for the blended teaching reform of basic courses in military academies.