Domain Knowledge Catalog

Learning & Education Knowledge Catalog for LLMs

Pedagogical taxonomies, concept prerequisite dependency graphs, Socratic question frameworks, and benchmark curriculum schemas designed to power intelligent tutoring systems and personalized learning copilots.

Built for: AI tutors, adaptive learning platforms, automated curriculum generators, and educational assessment models.

Core Catalog Modules

Taxonomy

Cognitive Skill Progressions

Mapped to revised Bloom's Taxonomy (Remember, Understand, Apply, Analyze, Evaluate, Create) with operational verbs and prompt framing templates.

Knowledge Graphs

Prerequisite Dependency Trees

Directed acyclic graphs (DAGs) across STEM, humanities, and languages mapping exactly which concepts must be mastered before introducing new material.

Intervention

Misconception & Remediation Maps

Common student error archetypes, diagnostic distractors, and targeted Socratic hints that guide reasoning without giving away answers directly.

Evaluation

Rubric & Assessment Standards

Standardized item-response schemas, multi-grade reading level indicators (Lexile, Flesch-Kincaid), and automated rubric grading specifications.

Sample Concept Graph Representation

Used by tutoring agents to sequence lesson generation and dynamically identify student learning blockers:

{
  "concept_id": "math.calculus.derivative_chain_rule",
  "name": "Chain Rule for Differentiation",
  "domain": "Calculus I",
  "prerequisites": [
    "math.calculus.power_rule",
    "math.algebra.composite_functions",
    "math.calculus.limit_definition_derivative"
  ],
  "learning_objectives": [
    "Identify inner and outer functions in composed expressions",
    "Apply d/dx[f(g(x))] = f'(g(x)) * g'(x) correctly"
  ],
  "common_misconceptions": [
    "Differentiating only outer function and forgetting inner derivative g'(x)",
    "Multiplying before applying power rule on outside"
  ]
}

Retrieval & Tool Specs

Tool-call Schema: recommend_remedial_concept(student_id, failed_concept_id, error_pattern)
Pedagogical Adapters: Ready prompts for Socratic Dialogue, Direct Instruction, and Peer Instruction
Curriculum Packs: K-12 and College STEM foundational maps in JSON-LD and GraphML