arXiv:2511.15163cs.CLcs.AI2025-11被引 1

让AI根据学生掌握情况动态调整数学教学,更懂学习者遗忘规律。

Teaching According to Students' Aptitude: Personalized Mathematics Tutoring via Persona-, Memory-, and Forgetting-Aware LLMs

  • 构建学生画像与记忆库,追踪知识掌握和遗忘变化
  • 结合遗忘曲线生成难度适配的题目与解释,提升学习效率
  • 适合需要个性化辅导的数学教育场景,尤其关注长期记忆

大型语言模型(LLMs)正被广泛应用于智能辅导系统,提供类人化、自适应的教学。然而,现有方法大多未能捕捉学生在不同能力水平、概念盲区及遗忘模式下的动态知识演化。这一问题在数学辅导中尤为突出,有效教学需精准匹配学生的掌握程度与认知保持能力。为此,我们提出TASA(Teaching According to Students' Aptitude),一个融合人格特征、记忆与遗忘动态的学生感知式辅导框架。TASA通过结构化学生画像记录掌握水平,并维护事件记忆以追踪过往学习交互;结合连续遗忘曲线与知识追踪,动态更新每个学生的掌握状态,并生成上下文相关、难度适配的问题与解释。实验表明,TASA在学习效果与辅导适应性上均优于代表性基线,凸显了在基于LLM的辅导系统中建模时间遗忘与学习者画像的重要性。

原文摘要 · Abstract (English)

Large Language Models (LLMs) are increasingly integrated into intelligent tutoring systems to provide human-like and adaptive instruction. However, most existing approaches fail to capture how students' knowledge evolves dynamically across their proficiencies, conceptual gaps, and forgetting patterns. This challenge is particularly acute in mathematics tutoring, where effective instruction requires fine-grained scaffolding precisely calibrated to each student's mastery level and cognitive retention. To address this issue, we propose TASA (Teaching According to Students' Aptitude), a student-aware tutoring framework that integrates persona, memory, and forgetting dynamics for personalized mathematics learning. Specifically, TASA maintains a structured student persona capturing proficiency profiles and an event memory recording prior learning interactions. By incorporating a continuous forgetting curve with knowledge tracing, TASA dynamically updates each student's mastery state and generates contextually appropriate, difficulty-calibrated questions and explanations. Empirical results demonstrate that TASA achieves superior learning outcomes and more adaptive tutoring behavior compared to representative baselines, underscoring the importance of modeling temporal forgetting and learner profiles in LLM-based tutoring systems.

智能辅导个性化学习知识追踪遗忘模型

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。