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融合、重构与超越：人工智能时代高等数学教育的范式转型与路径创新

Integration, Reconstruction and Transcendence: Paradigm Transformation and Path Innovation of Higher Mathematics Education in the Era of Artificial Intelligence

Education Study / 2026,8(2): 128-134 / 2026-02-27 10 2

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• Authors: 郑佳璇
• Information:

  内蒙古师范大学，呼和浩特

• Keywords:
  Artificial intelligence; Advanced mathematics; Digital education; Teaching paradigm; Knowledge graph
  人工智能; 高等数学; 数字教育; 教学范式; 知识图谱
• Abstract: Digital technologies represented by generative artificial intelligence are penetrating the field of higher education with unprecedented depth and breadth, triggering profound changes in the teaching of basic disciplines. This article focuses on the core basic course of “advanced mathematics”. In response to the core pain points that have long existed in traditional teaching, it proposes and demonstrates a new teaching reform paradigm centered on the deep integration of “human intelligence (HI) and artificial intelligence (AI)”. The solution is mainly based on three pillars: “new teaching ecosystem, human-machine integration path, and innovative application scenarios”. It systematically constructs a three-in-one integration path of “cognitive reconstruction - evaluation innovation - technology empowerment”, and combines cutting-edge practices such as “teacher – student - machine trinity interaction”, knowledge graphs, and innovative application scenarios. And it explores the paradigm transformation and path innovation of higher mathematics education in the artificial intelligence era. Research shows that AI-enabled mathematics education is not merely a simple accumulation of technologies, but rather a fundamental transformation from “knowledge imparting” to “thinking development and innovation ability cultivation” through the reconfiguration of teaching processes, the transformation of teachers’ roles, and the provision of precise learning support. This research aims to provide a systematic theoretical reference and practical application scheme for the teaching reform of advanced mathematics in the digital age. 以生成式人工智能为代表的数字技术正以前所未有的深度与广度渗透至高等教育领域，引发基础学科教学的深刻变革。本文聚焦“高等数学”这一核心基础课程，针对其在传统教学中长期存在的核心痛点，提出并论证了以“人智（HI）与人工智能（AI）深度融合”为核心的教改新范式。重点给出以“教学新生态、人机融合路径、创新应用场景”三方面为支柱的解决方案，系统构建了“认知重构—评价革新—技术赋能”三位一体的融合路径，并结合“师—生—机三元交互”、知识图谱、创新应用场景等前沿实践，探讨了人工智能时代高等数学教育的范式转型与路径创新。研究表明，AI赋能的高等数学教育并非简单的技术叠加，而是通过重构教学流程、转变教师角色、精准化学习支持，最终实现从“知识传授”到“思维发展与创新能力培养”的根本性转变。本研究旨在为高等数学在数字时代的教学改革提供系统的理论参照与实践应用。
• DOI: https://doi.org/10.35534/es.0802025 (registering DOI)
• Cite: 郑佳璇．融合、重构与超越：人工智能时代高等数学教育的范式转型与路径创新［J］．教育研讨，2026，8（2）：128-134．