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高等数学教学中融入数学建模思想的改革路径探析

Analysis of the reform path for integrating mathematical modeling thinking into higher mathematics teaching
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摘要 本研究针对高等数学教学中普遍存在的理论与实践脱节问题,以应急管理领域人才培养需求为导向,探索将数学建模思想深度融入课程教学体系的改革路径。通过系统重构教学内容与方法,以灾害风险评估、应急资源优化调度等实战场景为教学牵引,有机整合问题识别、模型构建、求解验证和决策支持等关键环节,构建了“理论奠基—案例解析—应用实践”三位一体的闭环教学模式。实践表明,该模式能够有效贯通传统教学中离散的数学知识点,显著增强学生在复杂应急情境下运用数学工具进行建模、分析与科学决策的综合能力,为培养符合新时代要求的应急管理专业人才提供了可复制、可推广的教学方案。 To address the disconnection between theory and practice in higher mathematics teaching,this study focuses on the talent cultivation needs in the field of emergency management and proposes reform paths for integrating mathematical modeling thinking into the curriculum system.By restructuring teaching content and methods,and guided by practical scenarios such as disaster risk assessment and resource optimization scheduling,the reform systematically integrates core steps including problem analysis,model construction,and solution verification,forming a closed-loop teaching mode of"theory-case-application".Practice has shown that this model can effectively connect discrete mathematical knowledge points,significantly enhance students'comprehensive ability to solve complex emergency problems,and provide important support for cultivating emergency management talents with scientific decision-making capabilities.
作者 王慧颖 吴振兴 于晟伟 曹琳 Wang Huiying;Wu Zhenxing;Yu Shengwei;Cao Lin(China Fire and Rescue Academy,Beijing)
出处 《人文与社会科学学刊》 2025年第11期62-67,共6页 Journal of Humanities and Social Sciences
基金 北京高校学生社团工作研究课题阶段性成果(BJST2025YB14) 中国消防救援学院2024年本科教育教学改革立项资助(2024ZXGG03) 中国消防救援学院2025年本科教育教学改革立项资助(2025RGZN01Z)。
关键词 高等数学 数学建模 教学改革 应急管理 应用能力 Higher Mathematics Mathematical Modeling Teaching Reform Emergency Management Application Ability
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