生成式人工智能辅助初一学生解决数学问题的表现研究OA
Research on the Performance of Generative Artificial Intelligence in Assisting Seventh-Grade Students with Solving Mathematical Problems
生成式人工智能(GAI)在数学教育领域的应用中拥有着巨大潜力.为观测学生在 GAI 辅助数学学习方面的表现,研究选取了 8 名初一学生为研究对象,基于提示语数量、结构与类型 3 个方面分析了学生独立应用 GAI 辅助解决同余问题的交互过程,并从结果正误、推导方法、推导过程和符号使用 4个维度分析学生的任务完成过程.根据相关数据分析,发现在 GAI 辅助数学学习中,学生的提示语设计不完善,问题解决存在表面性,人机交互效率与成效存在明显的个体差异性;在 GAI 辅助学习后,学生表现出知识迁移能力较差、数学表达退化、认知理解虚化的情况.对此,提出建议教师强化对学生提示语设计的指导与训练、深化人机协作的认知干预、开展个性化 GAI 辅助学习活动、采用"AI 解构—学生重构"的循环学习模式等.
Generative artificial intelligence(GAI)holds significant potential for application in mathematics education.To observe students'performance in GAI-assisted mathematics learning,this study selected eight seventh-grade students as participants.It analyzed their independent interactions with GAI while solving congruence problems based on three dimensions:the quantity,structure,and types of prompts used.Additionally,the problem-solving process was evaluated across four aspects:solution accuracy,reasoning methods,derivation processes,and symbolic notation.Data analysis revealed that during GAI-assisted learning,students demonstrated deficiencies in prompt design and superficial problem-solving approaches,with notable individual differences in human-AI interaction efficiency and effectiveness.After GAI-assisted learning,students exhibited poor knowledge transfer capability,degradation in mathematical expression skills,and superficial cognitive understanding.Accordingly,recommendations include:teachers should strengthen guidance and training on students'prompt design,deepen cognitive interventions in human-AI collaboration,implement tailored GAI-assisted learning activities,and adopt a cyclical"AI deconstruction-student reconstruction"learning model.
黄贤明;李亚琼;赵岩;李丹彤
华东师范大学 数学科学学院,上海 200241||苏州高新区景山实验初级中学校,江苏 苏州 215129江苏第二师范学院 数学科学学院,江苏 南京 211200苏州高新区景山实验初级中学校,江苏 苏州 215129马来西亚理工大学 教育科学与技术学院,柔佛州 新山 813000
社会科学
生成式人工智能解决问题初中生数学学习
generative artificial intelligencesolving problemjunior high school studentsmathematics learning
《数学教育学报》 2026 (3)
60-65,92,7
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