RootCraft Learning System

Core Principle

A high-efficiency learning methodology that integrates First Principles Thinking, Taxonomy-Based Classification, Feynman Technique, and Recursive Questioning into a closed-loop system:

1. First Principles → Trace to fundamental facts and concepts
2. Classification → Systematically decompose and structure
3. Feynman Technique → Validate through output, identify gaps
4. Recursive Questioning → Chase "aha moments" through layered inquiry

Learning Flow (9 Steps)

When users mention learning, exam prep, or skill acquisition, guide them through this process:

Step 1: Define Goals & Evaluation Criteria

• Clarify learning objectives (target proficiency level)
• Establish evaluation standards (how to measure mastery)
• Set timelines and milestones

Step 2: Apply First Principles

• Break down problems to find fundamental facts
• Keep asking "why" until reaching irreducible truths
• Distinguish between assumptions and verified facts

Step 3: Use Taxonomy-Based Classification

• Divide topics into distinct subtopics/categories
• Build classification systems (preferably MECE: Mutually Exclusive, Comprehensively Encompassing)
• Clarify relationships between categories

Step 4: Apply Feynman Technique with Recursive Questioning

Core Process (5 Sub-Steps):

4.1 Start with a Real Problem

• Begin with concrete, practical challenge
• Example: "Write a diffusion model code" or "Implement this algorithm"
• Ground learning in tangible context

4.2 Generate Questions Through Practice

• While working, note every confusion point
• Ask: "Why does this work?" "What does this term mean?"
• Record questions without immediately seeking answers

4.3 Recursive Downward Questioning

• For each unclear concept, ask deeper questions
• Pattern: "What do you mean by X?" → "Why is X necessary?" → "What happens without X?"
• Continue until reaching intuitive understanding
• Example chain:
  • "What is 'gradient descent'?" →
  • "Why do we need to minimize loss?" →
  • "What is 'loss' actually measuring?" →
  • "Why is measuring error useful?" →
  • Aha! "Loss is just a compass pointing toward better answers"

4.4 Restate in Your Own Words

• After each answer, rephrase to confirm understanding
• Use: "So my understanding is... Is this correct?"
• If explanation feels forced or unclear, return to 4.3
• Valid understanding = can explain to a 10-year-old

4.5 Chase the "Aha!" Moments

• Recognize the click: "Oh! That's why!"
• These moments mark true comprehension milestones
• Document each aha moment with:
  • What was unclear before
  • What clicked
  • Why it matters
• Key insight: One deep aha > Ten shallow memorizations

Step 5: Multi-Perspective Learning

• Use diverse resources (books/videos/courses/practical exercises)
• Cross-validate information across sources
• Find the optimal personal learning path

Step 6: Practice & Application

• Select relevant projects for hands-on practice
• Analyze real-world case studies
• Connect theory with practical application
• Apply recursive questioning to new challenges

Step 7: Feedback & Iteration

• Regular review of learned content
• Seek peer feedback (teach, question, evaluate)
• Adjust learning strategy based on insights
• Revisit aha moments to reinforce understanding

Step 8: Continuous Learning & Review

• Periodically revisit mastered content (spaced repetition)
• Follow Ebbinghaus Forgetting Curve for reviews
• Expand into related knowledge domains
• Apply recursive questioning to advanced topics

Step 9: Mind Mapping & Notes

• Use mind mapping tools to organize knowledge structure
• Build systematic note-taking systems (Cornell Notes method)
• Maintain traceable and updatable notes
• Special: Create "Aha Moment Log" tracking breakthrough insights

Trigger Scenarios

When users say:

• "I want to learn..."
• "How to learn efficiently..."
• "Is there a good learning method..."
• "Help me create a study plan..."
• "This concept is unclear..."
• "Want to systematically master..."
• "Why does this work?"
• "I don't understand..."

→ Proactively recommend this method

Output Format Suggestions

Can generate for users:

• Learning goal checklist
• Knowledge taxonomy tree
• Feynman explanation template
• Recursive questioning script (question chain template)
• Aha moment tracker (breakthrough log)
• Review schedule table
• Mind mapping structure

File Organization

All learning materials saved to: workspace/study/{topic}/

Example structure:

workspace/study/machine-learning/
├── 01-goals.md              # Learning goals and evaluation criteria
├── 02-first-principles.md   # First principles analysis
├── 03-taxonomy.md           # Knowledge taxonomy tree
├── 04-feynman.md            # Feynman explanation notes
├── 04b-recursive-questions.md # Question chains and answers
├── 04c-aha-moments.md       # Breakthrough insights log
├── 05-resources.md          # Learning resources list
├── 06-projects.md           # Practice projects
├── 07-feedback.md           # Feedback and iteration records
├── 08-review.md             # Spaced review plan
└── 09-mindmap.md            # Mind mapping source file

Operation Requirements:

1. Create topic directory
2. Generate documents in sequence
3. Initialize 04c-aha-moments.md with template for tracking insights

Recommended Tools

• Mind Mapping: XMind, MindNode, Obsidian
• Note-taking: Notion, Obsidian, Evernote
• Spaced Repetition: Anki, RemNote
• Pomodoro Timer: Forest, Focus
• Question Tracking: Obsidian Daily Notes, Notion Database

Version History

Example: Learning Diffusion Models

Step 1: Set Goals

• Goal: Understand and implement a basic diffusion model
• Evaluation: Can explain forward/reverse process and generate images
• Time: 2-3 weeks

Step 2: First Principles

Diffusion essence = Gradual noise addition + Learned denoising

• Why add noise gradually?
• What does "learned denoising" mean?
• How does this connect to thermodynamics?

Step 3: Taxonomy

Diffusion Models
├── Forward Process (noise scheduling)
├── Reverse Process (denoising network)
├── Training Objective (noise prediction)
├── Sampling (iterative denoising)
└── Applications (image generation, inpainting)

Step 4: Recursive Questioning in Action

Question Chain Example:

Q: "Why do we add noise gradually?"
→ A: "To create a tractable path between data and noise"

Q: "What does 'tractable path' mean?"
→ A: "A path we can reverse mathematically"

Q: "Why do we need to reverse it?"
→ A: "Because generation = going from noise back to data"

Q: "Why start from noise at all?"
→ A: "Noise is easy to sample; data is hard to model directly"

💡 AHA! "Diffusion is like unscrambling an egg - we practice scrambling 
   so much we learn to unscramble!"

Step 5: Multi-Perspective

• Paper: "Denoising Diffusion Probabilistic Models"
• Video: Lilian Weng's blog explanation
• Code: Hugging Face Diffusers library

Step 6: Practice

• Implement simple 1D diffusion
• Use diffusers for 2D image generation
• Modify noise schedule and observe effects

Step 7: Feedback

• Explain to colleague/peer
• Write blog post on understanding
• Compare with other generative models

Step 8: Review

• Revisit aha moments weekly
• Connect to VAEs, GANs, flows
• Apply to new domains (audio, video)

Step 9: Mind Map

Diffusion Models
├── Core Insight: "Learned unscrambling"
├── Forward: Data → Noise (easy)
├── Reverse: Noise → Data (learned)
└── Aha: "Practice destroying to learn creating"