arXiv:2512.18525cs.CYcs.AI2025-12

用五层结构语言描述学习动态,让复杂过程清晰可说。

A Formal Descriptive Language for Learning Dynamics: A Five-Layer Structural Coordinate System

  • 分五层定义状态变量与责任,分离认知负荷、理解变化等要素。
  • 将认知负荷视为输入与内部结构的交互关系,非单一数值。
  • 适合研究学习机制或设计智能辅导系统的学者使用。

理解学习作为动态过程充满挑战,因涉及认知负荷、内在状态变化和主观评价等多重因素的相互作用。现有方法常孤立处理这些要素,难以在统一且结构明确的框架中描述学习现象。本文提出一种多层形式化描述框架,用于刻画学习动态。该框架不提供预测或决策模型,而是构建由状态变量、映射关系及各层特定职责组成的符号语言,可在不承诺具体函数形式或优化目标的前提下,一致描述学习过程。其核心设计原则是显式划分各层的描述职责,区分负载生成、内部理解转换、观测与评估。其中,认知负荷被视作外部输入与内部组织间交互产生的关系量;主观评价则建模为响应学习动态与环境条件的最小调节接口。通过强调描述的清晰性与可扩展性,该框架为组织现有理论并支持未来实证与理论研究提供了通用语言。

原文摘要 · Abstract (English)

Understanding learning as a dynamic process is challenging due to the interaction of multiple factors, including cognitive load, internal state change, and subjective evaluation. Existing approaches often address these elements in isolation, limiting the ability to describe learning phenomena within a unified and structurally explicit framework. This paper proposes a multi-layer formal descriptive framework for learning dynamics. Rather than offering a predictive or prescriptive model, the framework introduces a symbolic language composed of state variables, mappings, and layer-specific responsibilities, enabling consistent description of learning processes without commitment to specific functional forms or optimization objectives. This descriptive framework is intended to serve as a structural substrate for analyzing learning processes in human learners, and by extension, in adaptive and Al-assisted learning systems. A central design principle is the explicit separation of descriptive responsibilities across layers, distinguishing load generation, internal understanding transformation, observation, and evaluation. Within this structure, cognitive load is treated as a relational quantity arising from interactions between external input and internal organization, while subjective evaluation is modeled as a minimal regulatory interface responding to learning dynamics and environmental conditions. By emphasizing descriptive clarity and extensibility, the framework provides a common language for organizing existing theories and supporting future empirical and theoretical work.

学习动态形式化框架认知负荷

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