PaperLab Curriculum Prerequisite Graph
When to Use
USE WHEN: reviewing a whole technical book for curriculum flow, especially when
chapters are written by multiple passes or imported from course material.
Pair with:
paperlab_student_readability for chapter-level learner friction,
paperlab_book_knowledge_graph for graph output and visualization,
paperlab_learning_objective_matrix for objective-level coverage.
Concept States
Track each concept in these states:
| State |
Meaning |
| introduced |
concept is explained for the first time |
| practiced |
concept appears in worked examples or exercises |
| reinforced |
concept is reused with reminder context |
| assessed |
concept appears in exercises, exams, or projects |
| assumed |
concept is used without explanation |
Workflow
- Extract concepts from headings, objectives, summaries, glossary entries,
equations, figure captions, and exercises.
- Normalize synonyms and acronyms.
- Identify the first introduction, first use, first computation, and first
assessment for each concept.
- Create prerequisite edges from prerequisite concept to dependent concept.
- Flag:
- use before introduction,
- assessment before worked example,
- missing bridge paragraph,
- duplicate first explanations,
- glossary terms not used in chapters.
Output Schema
{
"book": "book-slug",
"concepts": [
{
"id": "hydrate_margin",
"label": "hydrate margin",
"introduced_in": "ch10#section",
"first_used_in": "ch08#section",
"state": "assumed",
"issue": "used-before-introduction"
}
],
"edges": [
{"from": "phase_envelope", "to": "hydrate_margin", "type": "prerequisite"}
]
}
Pass Criteria
- Core concepts are introduced before calculation or assessment.
- Glossary and acronym entries match chapter usage.
- Capstone cases reference earlier theory instead of re-teaching it at length.
- Bridge paragraphs or cross-references exist for necessary jumps.
Safety Rules
- Do not force a strict linear path when the book intentionally supports lookup.
- Do not flag every acronym as a concept; prioritize teaching-critical terms.
- Preserve confidential case anonymization in graph labels.
1---2name: paperlab-curriculum-prerequisite-graph3description: Build prerequisite graphs for PaperLab books. Use when checking chapter order, concept introduction, learning path coherence, glossary coverage, and whether students meet concepts before they are used or assessed.4---56# PaperLab Curriculum Prerequisite Graph78## When to Use910USE WHEN: reviewing a whole technical book for curriculum flow, especially when11chapters are written by multiple passes or imported from course material.1213Pair with:1415- `paperlab_student_readability` for chapter-level learner friction,16- `paperlab_book_knowledge_graph` for graph output and visualization,17- `paperlab_learning_objective_matrix` for objective-level coverage.1819## Concept States2021Track each concept in these states:2223| State | Meaning |24|-------|---------|25| introduced | concept is explained for the first time |26| practiced | concept appears in worked examples or exercises |27| reinforced | concept is reused with reminder context |28| assessed | concept appears in exercises, exams, or projects |29| assumed | concept is used without explanation |3031## Workflow32331. Extract concepts from headings, objectives, summaries, glossary entries,34 equations, figure captions, and exercises.352. Normalize synonyms and acronyms.363. Identify the first introduction, first use, first computation, and first37 assessment for each concept.384. Create prerequisite edges from prerequisite concept to dependent concept.395. Flag:40 - use before introduction,41 - assessment before worked example,42 - missing bridge paragraph,43 - duplicate first explanations,44 - glossary terms not used in chapters.4546## Output Schema4748```json49{50 "book": "book-slug",51 "concepts": [52 {53 "id": "hydrate_margin",54 "label": "hydrate margin",55 "introduced_in": "ch10#section",56 "first_used_in": "ch08#section",57 "state": "assumed",58 "issue": "used-before-introduction"59 }60 ],61 "edges": [62 {"from": "phase_envelope", "to": "hydrate_margin", "type": "prerequisite"}63 ]64}65```6667## Pass Criteria6869- Core concepts are introduced before calculation or assessment.70- Glossary and acronym entries match chapter usage.71- Capstone cases reference earlier theory instead of re-teaching it at length.72- Bridge paragraphs or cross-references exist for necessary jumps.7374## Safety Rules7576- Do not force a strict linear path when the book intentionally supports lookup.77- Do not flag every acronym as a concept; prioritize teaching-critical terms.78- Preserve confidential case anonymization in graph labels.