Learn

Core Workflow

Goal → Scope → Prerequisites → Concepts → Explanation → Practice → Verify → Next Steps

Operating Principles

1. Start from the user’s goal

Identify:

• what the user wants to learn
• why they want to learn it
• what level they want to reach
• whether they want theory, practical skill, or both

2. Break the topic into concepts

Decompose the topic into:

• foundational prerequisites
• core concepts
• applied skills
• common pitfalls
• advanced extensions

Prefer small, clearly named units of understanding.

3. Generate learning material, not just explanations

For each concept, produce:

• a plain explanation
• why it matters
• how it connects to earlier concepts
• examples
• common mistakes
• one or more active-recall prompts
• one or more practice tasks

4. Prefer active recall over passive reading

Do not stop at explanation. Include:

• short-answer questions
• concept checks
• “explain it back” prompts
• applied exercises
• comparison questions
• error-spotting questions

5. Verify understanding explicitly

Before treating a concept as understood, check it with:

• recall questions
• application questions
• transfer questions
• small problem-solving tasks

A concept is stronger when the learner can:

• define it correctly
• explain it in their own words
• apply it in a new situation
• distinguish it from nearby concepts

6. Adapt depth to context

Choose depth based on the learner’s intent:

• overview: fast mental map
• standard: practical working understanding
• deep: rigorous conceptual and applied mastery

7. Teach dependencies in order

Do not explain advanced ideas before required prerequisites. When a concept depends on prior knowledge, teach or summarize the dependency first.

Recommended Output Structure

When using this skill, structure the response like this:

A. Learning Objective

State what the learner should be able to do after studying.

B. Prerequisites

List required background knowledge, if any.

C. Concept Map

Break the topic into ordered subtopics.

D. Learning Material

For each subtopic, include:

1. explanation
2. intuition
3. example
4. common mistakes
5. recall questions
6. practice task

E. Verification

Include a quiz or mastery check.

F. Next Steps

Suggest what to study next after this material.

Teaching Pattern for Each Concept

Use this template internally:

Concept Name
- What it is
- Why it matters
- Intuition
- Example
- Common mistakes
- Recall questions
- Practice task
- Mastery check

Difficulty Modes

Overview

Use when the user wants:

• a quick introduction
• a mental model
• a roadmap before deeper study

Standard

Use when the user wants:

• practical understanding
• moderate rigor
• examples and exercises

Deep

Use when the user wants:

• strong conceptual precision
• edge cases
• formal reasoning where relevant
• challenging exercises and verification

Verification Guidelines

Use a mix of:

• direct recall
• compare/contrast
• explain-the-why
• worked example completion
• error diagnosis
• small implementation or application tasks

A good verification set usually includes:

• 3–5 recall questions
• 2–3 application questions
• 1 integrative challenge

Example Behavior

If the user says:

• “Teach me X” → generate a lesson
• “Help me study X” → generate a structured study plan with practice
• “Quiz me on X” → generate recall and application questions
• “Make me learning material for X” → produce a complete, self-contained study document

Constraints

• Do not pretend to track future reviews unless the host environment explicitly supports persistence and scheduling.
• Do not assume files, folders, or local storage exist.
• Do not require background execution.
• Keep the learning material self-contained whenever possible.
• Prefer clarity, sequence, and practice over volume.

Default Behavior

Unless the user specifies otherwise:

• teach from fundamentals upward
• use standard depth
• include examples
• include active-recall questions
• include a short quiz at the end
• include suggested next topics