基于AIGC的高等数学教辅系统开发

Development of an AIGC-Based Advanced Mathematics Teaching Assistance System

摘要: AIGC技术在教育领域的应用日益广泛，展现出巨大潜力，但也面临诸多挑战。目前，其在复杂知识讲解、个性化学习支持以及与传统教学的融合方面仍存在不足，尤其在资源匮乏地区，高质量教育支持仍难以普及。多数AIGC应用仍停留在简单的知识问答与内容生成，缺乏系统性的教学辅助功能，难以满足师生多样化需求。为解决这些问题，设计并实现了一套基于AIGC技术的高等数学智能教学辅导系统。系统依托无代码开发平台“扣子平台”与大语言模型，整合了四大核心功能：在线知识问答、习题解答、出题练习、教案自动生成。知识问答模块通过语义匹配与生成技术，为学生提供实时答疑；习题解答模块根据用户上传的图片识别其中的数学问题，通过推理分析给出解答；出题练习模块生成个性化题目及解析，辅助学生巩固知识；教案生成模块根据用户指定的知识点或上传的word或pdf文件材料，输出结构化的教学方案。该高等数学辅助教学系统有助于学生更好地理解和掌握高等数学知识、拓展知识视野、提升学习效率和质量，有助于通过提供即时反馈和个性化练习来维持学生的学习参与度；同时，通过该系统，教师可以减轻备课和答疑的工作负担，将更多精力投入到教学方法创新和学生能力培养上，实现教学相长。该系统为缩小教育资源差距提供了潜在的技术路径，让更多的学生享受到智能化教学服务，促进教育均衡发展。

Abstract: The application of AIGC technology in education is becoming increasingly widespread, demonstrating great potential, though it also faces significant challenges. Currently, it falls short in explaining complex knowledge, offering personalized learning support, and integrating with traditional teaching methods—particularly in resource-scarce regions where high-quality educational support remains difficult to popularize. Most AIGC applications are confined to basic knowledge Q&A and content generation, lacking systematic teaching assistance features, which limits their ability to meet the diverse needs of teachers and students. To address these gaps, we designed and implemented an intelligent AIGC-based teaching assistance system for advanced mathematics. Leveraging the no-code “CozePlatform” and large language models, the system integrates four core functions: (1) online knowledge Q&A, providing real-time answers via semantic matching and generative technology; (2) exercise problem-solving, analyzing uploaded images of math problems to deliver step-by-step solutions; (3) personalized question generation with explanations to reinforce learning; and (4) automated lesson plan creation based on user-defined topics or uploaded Word/PDF materials. This system enables students to better comprehend and master advanced mathematical concepts, broaden their knowledge horizons, and improve both learning efficiency and quality; by delivering instant feedback and personalized exercises, it also sustains learner engagement. Meanwhile, the system reduces teachers’ workload in lesson preparation and question-answering, freeing them to devote more energy to pedagogical innovation and students’ competency development, thereby realizing mutual growth in teaching and learning. Furthermore, it offers a potential technological route for narrowing educational resource gaps, allowing a wider range of students to benefit from intelligent instructional services and promoting balanced educational development.