人机协同视角下数学建模教学模式的转型与实践

Human-Machine Collaboration: Transformation and Practice in Mathematical Modeling Teaching

摘要: 生成式人工智能的快速发展，推动数学建模教学从模型套用向人机协同深度教学转型。针对当前教学重结果轻过程、重算法轻思维的问题，本文提出以人机协同为核心的教学模式，构建“课前准备–课中探究–课后反思”三阶段教学流程，并以2024年全国大学生数学建模竞赛B题“生产过程中的决策问题”为案例开展实证研究。实践表明，该模式能有效提升学生的建模思维、算法理解与创新能力。人机协同教学是从技能训练走向思维培养的关键路径，为应对技术变革下的教学挑战提供了可行方案。

Abstract: The rapid evolution of generative artificial intelligence (AI) is driving a paradigm shift in mathematical modeling education, moving from the mechanical application of models toward deep, human-AI collaborative learning. Addressing current pedagogical shortcomings—such as overemphasizing outcomes at the expense of process and prioritizing algorithms over critical thinking—this paper proposes a human-AI collaborative teaching model. We construct a three-stage instructional framework consisting of “pre-class preparation”, “in-class exploration”, and “post-class reflection”. To validate this approach, an empirical study was conducted using Problem B, “decision-making in production processes”, from the 2024 Contemporary Undergraduate Mathematical Contest in Modeling (CUMCM). The results demonstrate that this model effectively enhances students’ modeling intuition, algorithmic comprehension, and innovative capacity. Human-AI collaboration represents a critical pathway for transitioning from basic skill training to advanced cognitive development, offering a viable strategy for meeting the pedagogical challenges posed by the era of technological transformation.