人工智能赋能高等数学智能化教学模式研究

Research on an AI-Empowered Intelligent Teaching Model for Higher Mathematics

摘要: 针对高职高等数学教学中学生基础差异明显、个性化支持不足、学习反馈滞后等问题，本文围绕人工智能赋能教学模式重构，提出“一核三元、五环联动、双向反馈”的高等数学智能化教学模式。并以新能源汽车制动距离的定积分模型为例说明模式的具体实施过程。研究进一步明确AI辅助教学的边界与实施保障，以及现实挑战与应对方法，推动高等数学教学由统一供给向精准适配、由经验驱动向数据驱动、由单向传授向人机协同转变，为高职高等数学智能化教学模式建设提供参考。

Abstract: To tackle several pressing problems in Higher Mathematics courses offered by vocational colleges—wide gaps in learners’ prior knowledge, insufficient individualized scaffolding, and feedback that comes too late—this study investigates how teaching can be redesigned with artificial intelligence support. It puts forward an AI-enhanced instructional framework for Higher Mathematics, described as “one core plus three components, five interlocking phases, and reciprocal feedback”. It uses the definite integral model of the braking distance of a new energy vehicle as an example to illustrate the specific implementation of the proposed teaching model. The study also specifies the limits of AI-assisted instruction and the safeguards needed for its application, as well as the practical challenges and corresponding strategies. The goal is to move Higher Mathematics teaching beyond a one-size-fits-all model toward differentiated alignment, beyond experience-based judgement toward evidence- and data-informed decisions, and beyond teacher-centred delivery toward instructor-AI cooperation. The discussion offers a reference for developing intelligent teaching models for Higher Mathematics in vocational education.