arXiv:2604.08263cs.AI2026-04被引 1

将教育规则注入深度学习,让智能辅导更可靠、可解释。

Neural-Symbolic Knowledge Tracing: Injecting Educational Knowledge into Deep Learning for Responsible Learner Modelling

  • 用符号规则约束神经网络,融合教育理论提升建模可靠性。
  • 仅用10%数据达0.80以上AUC,最高提升13%性能。
  • 预测结果可解释,适合教育AI研究者与系统开发者。

人工智能在教育中的应用日益广泛,尤其大型语言模型(LLMs)推动了智能辅导系统的发展。然而,这些模型往往适应性差,难以捕捉学习者知识的动态演变,亟需专用的学习者建模方法。尽管深度知识追踪方法表现优异,但其黑箱特性与潜在偏见可能违背教学原则。为此,我们提出 Responsible-DKT,一种融合符号化教育知识(如掌握/未掌握规则)的神经符号深度知识追踪方法,实现负责任的学习者建模。在真实学生数学交互数据集上的实验表明,Responsible-DKT 在多种训练设置下均优于神经符号基线和全数据驱动的 PyTorch DKT 模型。该模型仅使用10%训练数据即达到0.80以上AUC,最高达0.90,性能提升最多13%。同时具备更强的时间可靠性,早期与中期序列预测误差更低,不同序列长度下预测不一致性最低,说明预测更新始终与学生实际响应方向一致。此外,神经符号结构提供可解释的计算图,支持局部与全局解释,并能实证检验教学假设——重复错误显著影响预测更新。结果表明,神经符号方法在提升性能与可解释性的同时,缓解数据稀缺问题,推动更以人为本、负责任的教育AI发展。

原文摘要 · Abstract (English)

The growing use of artificial intelligence (AI) in education, particularly large language models (LLMs), has increased interest in intelligent tutoring systems. However, LLMs often show limited adaptivity and struggle to model learners' evolving knowledge over time, highlighting the need for dedicated learner modelling approaches. Although deep knowledge tracing methods achieve strong predictive performance, their opacity and susceptibility to bias can limit alignment with pedagogical principles. To address this, we propose Responsible-DKT, a neural-symbolic deep knowledge tracing approach that integrates symbolic educational knowledge (e.g., mastery and non-mastery rules) into sequential neural models for responsible learner modelling. Experiments on a real-world dataset of students' math interactions show that Responsible-DKT outperforms both a neural-symbolic baseline and a fully data-driven PyTorch DKT model across training settings. The model achieves over 0.80 AUC with only 10% of training data and up to 0.90 AUC, improving performance by up to 13%. It also demonstrates improved temporal reliability, producing lower early- and mid-sequence prediction errors and the lowest prediction inconsistency rates across sequence lengths, indicating that prediction updates remain directionally aligned with observed student responses over time. Furthermore, the neural-symbolic approach offers intrinsic interpretability via a grounded computation graph that exposes the logic behind each prediction, enabling both local and global explanations. It also allows empirical evaluation of pedagogical assumptions, revealing that repeated incorrect responses (non-mastery) strongly influence prediction updates. These results indicate that neural-symbolic approaches enhance both performance and interpretability, mitigate data limitations, and support more responsible, human-centered AI in education.

知识追踪神经符号教育AI可解释性

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