MathDesk Paper

Public snapshot for the four-layer LLM tutoring control architecture paper.

Paper

System-Level Validation of a Four-Layer Control Architecture for LLM Mathematics Tutoring Wataru Kawashima (Independent Researcher), 2026 EdArXiv preprint: https://doi.org/10.35542/osf.io/g26un_v1 View on OSF: https://osf.io/preprints/edarxiv/g26un_v1

Repository structure

Directory	Contents	License
paper/	Paper LaTeX source, PDF, integrated references	CC BY 4.0
prompts/	Strategy few-shot prompt, surveyor specification	MIT
rubric/	HIL P1–P5 evaluation rubric	CC BY 4.0
concept-graphs/samples/	Demonstration concept graphs (limited units)	CC BY-NC-SA 4.0

See LICENSE.md for full terms.

Concept graph access

The full concept graph (60 units, 435 concepts) is not included in this snapshot. It is maintained as a private resource at orangewk/MathDesk (private).

• Educational / personal / research use of the included sample graphs: Free under CC BY-NC-SA 4.0
• Commercial use (any concept graph data, samples or full): Requires a separate license — contact orange.wk@gmail.com

Related repositories

• orangewk/MathDesk — Development repository (private)
• orangewk/mathdesk-gemma4-demo — Gemma 4 Good Hackathon submission

Citation

APA

Kawashima, W. (2026). System-Level Validation of a Four-Layer Control Architecture for LLM Mathematics Tutoring [Preprint]. EdArXiv. https://doi.org/10.35542/osf.io/g26un_v1

BibTeX

@misc{kawashima2026fourlayer,
  author       = {Kawashima, Wataru},
  title        = {System-Level Validation of a Four-Layer Control Architecture
                  for {LLM} Mathematics Tutoring},
  year         = {2026},
  publisher    = {EdArXiv},
  doi          = {10.35542/osf.io/g26un_v1},
  url          = {https://doi.org/10.35542/osf.io/g26un_v1},
  note         = {Preprint}
}