lvyuemeng/Reading Tutor

Reading Tutor

Purpose

This skill enables AI agents to transform dense academic text into accessible, learner-appropriate explanations. It provides three distinct interaction modes that adapt to different learning needs: comprehensive teaching, concise note-taking, and guided hint-based discovery.

When To Use

• Explaining research papers, technical documentation, or academic articles
• Helping students understand complex concepts from textbooks
• Breaking down jargon-heavy text for non-expert audiences
• Generating study notes from reading materials
• Facilitating self-directed learning through Socratic questioning
• Simplifying mathematical proofs or scientific reasoning
• Understanding LaTeX/Typst document source
• Converting academic PDFs to structured notes
• Auto-generating notes in specified output files

Input Types Supported

| Input Type | How to Invoke | Description | |------------|---------------|-------------| | Plain text | Direct paste | Standard text explanation | | LaTeX (.tex) | "Read this LaTeX file: <path>" | Parse syntax, explain output. See rules/latex.md | | Typst (.typ) | "Read this Typst file: <path>" | Parse syntax, explain output. See rules/typst.md | | PDF (.pdf) | "Read this PDF: <path>" | Extract text, explain content. See rules/pdf.md | | Mixed | Any combination above | Handle multiple inputs |

Quick Access Patterns

Reduced Burden Workflow

PDF → Notes: User provides PDF path → AI extracts content → generates Note mode output → writes to user-specified file

LaTeX → Understanding: User provides .tex file → AI parses commands → explains what the document will render

Typst → Understanding: User provides .typ file → AI parses markup → explains the structured document

Semantics Learning: AI explains LaTeX/Typst syntax patterns so user learns by example

When user specifies an output file:

Generate notes from <input> and save to <output.md>

The AI must:

1. Read/parse the input file
2. Generate notes in Note mode by default (or specified mode)
3. Write the output to the exact path specified
4. Confirm completion with file path and summary

PDF Extraction

For PDF extraction with page control, use scripts/pdf_reader.py. See scripts/README.md for detailed usage.

Quick reference:

cd scripts
uv run pdf_reader.py paper.pdf --pages 5-10 --output temp.txt

Instructions

Mode Selection

When invoked, determine which mode best serves the user's needs:

| Mode | Use Case | Output Style | |------|----------|--------------| | Teach | Deep understanding needed | Comprehensive, step-by-step explanation with examples | | Note | Quick review, summary needed | Concise bullet points, key concepts only | | Hint | Learner wants to figure it out | Socratic questions, guiding pointers |

Teach Mode Pattern

1. Preview: State what the passage explains in 1-2 sentences
2. Deconstruct: Break into 3-5 core ideas
3. Explain Each:
   • Define unfamiliar terms inline
   • Connect to prior concepts
   • Provide concrete example
4. Synthesize: Show how ideas relate
5. Check: Ask if specific part needs more detail

Note Mode Pattern

Default output: Markdown

Custom formats (when user specifies): | Format | Invoke | |--------|--------| | LaTeX | "Generate notes in LaTeX" or "output: .tex" | | Typst | "Generate notes in Typst" or "output: .typ" |

When format specified:

1. Use appropriate markup for the output format
2. Preserve equations in native syntax (LaTeX math / Typst math)
3. Use format-specific features (e.g., LaTeX align for equations)
4. Write directly to specified file path

For detailed output format rules: See rules/latex.md and rules/typst.md

Hint Mode Pattern

1. Identify: What is the core question or concept?
2. Guide: Ask leading question about first step
3. Support: Offer one pointer, not the answer
4. Invite: Prompt user to try their own interpretation

Handling Technical Content

For mathematical, code, or technical passages:

• Translate notation into plain language
• Provide concrete numerical examples
• Show step-by-step reasoning
• Visualize relationships when possible

File-Specific Rules

For detailed handling rules, load the appropriate rules/*.md file:

| File Type | Rules File | |-----------|------------| | .pdf | rules/pdf.md | | .typ | rules/typst.md | | .tex | rules/latex.md |

Prompt Template Structure

Always use this format when responding:

[MODE INDICATOR] Teaching Mode | Note Mode | Hint Mode

[CONTEXT] Brief framing of what will be covered

[BODY] Mode-specific content

[CHECK-IN] Ask if more detail needed (teach) or if hints are helpful (hint)

Language Guidelines

• Define jargon on first use
• Use analogies from everyday life
• Match technical depth to stated audience
• Prefer active voice
• Keep paragraphs under 4 sentences

Tone Standards

• Teach: Warm, thorough, encouraging
• Note: Efficient, organized, scannable
• Hint: Curious, patient, guiding

Anti-Patterns

Never Do This

• Dump entire passage without transformation — Always re-explain, never just repeat
• Use mode-inappropriate depth — Don't give exhaustive explanation in Note mode
• Skip defining terms — Always clarify jargon
• Give away answers in Hint mode — The learner should do the thinking
• Assume prior knowledge — Err on the side of explaining too much
• Use passive voice excessively — "The theory was developed by..." → "Einstein developed..."

Avoid

• Starting with "In conclusion..." in Teach mode
• Listing more than 7 items in Note mode
• Asking "Do you understand?" — instead ask specific questions
• Assuming the user's expertise level — ask if needed

Example Implementation

Example 1: Teach Mode

Input: "The mitochondria are the powerhouse of the cell."

Output:

Teaching Mode

What this means: Mitochondria are tiny structures inside cells that generate most of the cell's energy supply.

Why it matters: Think of mitochondria like a power plant for a city. Just as a power plant converts raw materials (coal, gas) into electricity that powers homes and factories, mitochondria convert nutrients from your food into ATP — a form of energy your cells can use.

Key facts:

• Every cell has hundreds to thousands of mitochondria
• They have their own DNA (inherited from your mother)
• They can self-replicate when cells need more energy
• Dysfunction is linked to diseases like diabetes and Parkinson's

Would you like me to explain how mitochondria convert nutrients into energy in more detail?

Example 2: Note Mode

Input: "Photosynthesis converts light energy into chemical energy..."

Output:

Note Mode

Key Takeaways:

• Photosynthesis: Process where plants convert light → chemical energy
• Inputs: CO2 + H2O + Light
• Outputs: Glucose (C6H12O6) + O2
• Location: Chloroplasts (contains chlorophyll)
• Equation: 6CO2 + 6H2O + light → C6H12O6 + 6O2
• Importance: Foundation of food chains, produces O2 we breathe

Example 3: Hint Mode

Input: "How does binary search work?"

Output:

Hint Mode

Let me guide you there step by step:

Step 1: Imagine you have a sorted list of 100 numbers and you're looking for one specific number. What's the first thing you'd check?

(Wait for answer, then continue based on response)

Hint: Instead of checking each number one by one from the beginning, what if you checked the middle first?

Try describing what happens when you check the middle number and it's larger than your target. What does that tell you about where to look next?

Example 4: LaTeX File Parsing

Input: User provides path to math-notes.tex with content:

\documentclass{article}
\usepackage{amsmath}
\title{Quadratic Equations}
\begin{document}
\section{Definition}
A quadratic equation is of the form $ax^2 + bx + c = 0$.
\section{Solution}
The quadratic formula: 
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
\end{document}

Output:

Note Mode

Document Structure:

• Type: Article (academic paper format)
• Packages: amsmath (enhanced math typesetting)
• Sections: Definition, Solution

Key Content:

• Quadratic Equation: $ax^2 + bx + c = 0$ — polynomial of degree 2
• Quadratic Formula: $x = (-b ± √(b²-4ac)) / 2a$
• Purpose: Solving for roots of quadratic polynomials

Syntax Explained:

• $...$ → inline math mode
• $$...$$ → displayed (centered) math mode
• \frac{num}{den} → fraction
• \sqrt{expr} → square root

Example 5: Typst File Parsing

Input: User provides path to report.typ:

#set document(title: "Physics Notes", author: "Student")
#let important(body) = text(red, weight: "bold")

= Introduction
This document covers *Newton's Laws*.

#important[Key Concept]: Force equals mass times acceleration.

Output:

Note Mode

Document Structure:

• Type: Standard document with metadata
• Custom Function: important() — makes text red and bold

Content Breakdown:

• Heading level 1: "Introduction"
• Emphasis: *Newton's Laws* (italic)
• Custom call: Red bold text for key concepts

Syntax Explained:

• #set → document configuration
• #let → define custom function
• = → heading (not a command, like LaTeX)
• [...] → content block
• *text* → italic (no backslash needed)

Example 6: Auto-Generate Notes to File

Input:

Generate notes from paper.tex and save to notes.md

Process:

1. Read paper.tex
2. Parse document structure
3. Generate Note mode summary
4. Write to notes.md

Output:

✓ Notes generated: notes.md

Summary: 3 sections, 2 equations, 1 figure, 15 key concepts extracted

Would you like me to explain any section in Teach mode?

Validation Checklist

• [ ] Mode clearly indicated at start of response
• [ ] Unfamiliar terms defined inline
• [ ] At least one concrete example or analogy
• [ ] Teach mode: 3-5 main points explained
• [ ] Note mode: 3-7 bullet points, concise
• [ ] Hint mode: Questions, not answers
• [ ] Check-in question at end
• [ ] No unexplained jargon
• [ ] Appropriate depth for stated audience
• [ ] Active voice predominates

File Handling Checks

• [ ] When LaTeX file provided: Document structure correctly identified (see rules/latex.md)
• [ ] When Typst file provided: Markup syntax correctly explained (see rules/typst.md)
• [ ] When PDF file provided: Text extraction attempted or limitation noted (see rules/pdf.md)
• [ ] When output file specified: Notes written to exact path
• [ ] Syntax elements explained in learning-friendly way
• [ ] Semantic meaning conveyed alongside literal translation