tda-learning-scaffold

Generates structured learning materials for topology, statistics, Lean, and Manim study tracks.

1|Updated Dec 13, 2025
One-click install
npx skills add https://github.com/ZK-Theory/TDL --skill tda-learning-scaffold-zk-theory
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: tda-learning-scaffold
Source: https://github.com/ZK-Theory/TDL/tree/main/.agents/skills/tda-learning-scaffold
Command: npx skills add https://github.com/ZK-Theory/TDL --skill tda-learning-scaffold-zk-theory

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve? Researchers studying computational topology, abstract algebra, probability, Lean, or Manim need structured study materials that stay clearly separated from research outputs, so learning artifacts never contaminate the research record or get cited as evidence. ## Core Features & Use Cases - Structured Learning Outputs: Produces concept ladders, exercise sets, worked solutions, Lean formalization drills, Manim animation outlines, reading guides, and prerequisite repair paths. - Research/Learning Separation: Enforces rules that keep study material out of results directories, prevents toy examples from becoming claims about real data, and blocks learning artifacts from being cited as literature. - Use Case: A researcher wants to build up the algebra background behind a stability theorem. The Skill creates a concept ladder with one exercise and one worked example per rung, filed in the learning workspace and marked as study material, without generating any research claims. ## Quick Start Create a concept ladder with exercises and worked examples for persistent homology prerequisites, stored as learning material outside the research tree.

Frequently Asked Questions about tda-learning-scaffold

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I create structured study materials for topological data analysis?

Identify the learning goal and gap, then build a concept ladder where each rung contains one concept, one exercise, and one worked example. File the output in a learning workspace marked as study material, separate from research records.

How to practice Lean formalization alongside mathematics study?

Use self-contained Lean formalization drills that formalize individual lemmas as runnable exercises. Keep these drills in the learning workspace and never cite them in research documents, since learning artifacts are not citable material.

Can worked examples on toy data validate a research pipeline?

No. A worked example on synthetic trajectories validates understanding only, not pipeline behavior or real data claims. Learning outputs must never be presented as evidence about datasets such as USoc or BHPS panels.

Where should learning notes be stored relative to research results?

Store learning materials outside research trees, never under results directories or in methods and results pages. Mark every artifact as learning material in the header or filename, and link from a daily note if worth remembering.

What happens when textbook conventions differ from project conventions?

Note the difference explicitly rather than importing textbook conventions into the project. Metric orders and notation locked by the research programme take precedence, and the learning material should flag the discrepancy.