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

📅 2025-12-20
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🤖 AI Summary
Existing learning modeling approaches fragment critical constructs—such as cognitive load, comprehension evolution, and subjective evaluation—lacking a unified, scalable formal framework. Method: This paper introduces a five-layer formal description language for learning dynamics, grounded in state variables, hierarchical mappings, and separation of concerns. It implements multi-faceted co-characterization through explicit structural mechanisms. Contribution/Results: We propose the novel “hierarchical responsibility separation” architecture, explicitly decoupling load generation, comprehension transformation, observation, and evaluation. Cognitive load is redefined as an interactional quantity between internal and external factors; subjective evaluation is abstracted as a minimal regulatory interface. The framework imposes no prior assumptions on functional forms or optimization objectives. Leveraging formal syntax, structured coordinates, and multi-level modeling, it provides a theoretically rigorous yet empirically compatible foundational description layer for human learning analysis and AI-driven adaptive educational systems.

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📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

Proposes a multi-layer formal descriptive framework for learning dynamics
Introduces a symbolic language for consistent description of learning processes
Provides a structural substrate for analyzing human and AI-assisted learning systems
Innovation

Methods, ideas, or system contributions that make the work stand out.

Multi-layer formal descriptive framework for learning dynamics
Symbolic language with state variables and layer-specific responsibilities
Explicit separation of descriptive responsibilities across layers
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