Charting Your Path Through a Problem Space

Prototype

Dynamic Learning Paths

Generate a personalized route through an unfamiliar problem space. Discover the concepts you need to acquire, ordered to respect dependencies, adapting as your understanding evolves.

Interactive Prototype

Knowledge Space Explorer

We've moved the prototype to a dedicated full-screen tool. Use the Knowledge Space Explorer to chart dynamic learning paths through unfamiliar domains.

Launch Explorer

Component Architecture

The Concept Card is the atomic unit of this interface. It is designed to bridge the gap between machine reasoning and human learning by separating content from metadata.

Interaction Pattern: The Meta Layer

We use a Progressive Disclosure pattern to handle the density of AI-generated metadata. The primary view remains focused on learning content, while the "Meta Layer" provides access to the system's reasoning.

Live Component Demo

Concept Card

core
concept

The atomic unit of the Exploration Interface. It encapsulates a single domain concept, separating the primary learning content from the AI's meta-analysis and provenance data.

You need this to understand how the system bridges machine reasoning and human learning.

Scan Interaction

Hovering the ScanEye icon reveals the Analysis Protocol HUD. This "heads-up display" surfaces the confidence score, relevance score, and the AI's generation rationale without cluttering the reading flow.

Internals: Schema-First Design

The component is backed by a strict Zod schema (GeneratedConceptLLM) that enforces provenance. Every concept must carry its own justification.

JSON
{
  "id": "concept-id",
  "label": "Concept Name",
  "category": "core",       // foundation | core | advanced
  "epistemicType": "term",  // term | fact | principle | ...
  
  // AI Provenance (The Meta Layer)
  "confidence": 0.95,       // 0.0 - 1.0
  "relevanceScore": 0.88,   // 0.0 - 1.0
  "rationale": "Included because X is a prerequisite for Y...",
  
  // Content
  "description": "...",
  "prerequisites": ["other-concept-id"]
}

2. Purpose & Framing

A Thinker arrives with a goal but lacks the conceptual vocabulary to achieve it. They don't just need information—they need to restructure how they think about the domain.

The Core Problem

"I don't know the answer" is solvable with search.
"I don't know what questions to ask" requires a different intervention.

Assess

Where is the Thinker now? Diagnose the current knowledge state.

Target

Where do they want to go? Define the goal state requirements.

Route

Generate an optimal path through the domain's concept structure.

Most tools either give answers (assuming you know the question) or give structure (assuming you know the concepts). This experiment does something different: it helps you discover what the structure should be before you have it.

3. Knowledge Inventory

The minimal set of concepts required to understand this experiment's domain. Each term traces to established research.

Problem Space

The set of all possible states a problem can be in, including the initial state, goal state, and all intermediate states reachable through valid operators.

Strategic Relevance

Defines the "terrain" the Thinker must navigate. Without a map of the problem space, movement is random.

Mental Model

An internal cognitive representation of how something works. Also called a Schema (Bartlett) or Frame (Minsky).

Strategic Relevance

The Thinker's current mental model determines what they can perceive, what questions they can ask, and what solutions they can imagine.

Epistemic Gap

The felt sense of discontinuity between what a person currently understands and what they need to understand to achieve their goal (Dervin).

Strategic Relevance

The gap is the problem. The experiment exists to help identify and bridge this gap systematically.

Conceptual Change

The process of restructuring existing knowledge when new information conflicts with prior understanding. Not addition—transformation.

Strategic Relevance

Learning often requires unlearning. The Thinker's naive model may need to be dismantled before a better one can form.

Scaffolding

Temporary support structures that help a learner accomplish tasks beyond their current independent capability (Wood, Bruner & Ross).

Strategic Relevance

The tool acts as scaffolding—providing structure that can be removed once the Thinker has internalized the domain.

Knowledge State

The specific set of concepts a person currently understands, represented as a subset of the domain ontology (Doignon & Falmagne).

Strategic Relevance

Assessing the current knowledge state is prerequisite to generating a valid learning path.

Learning Path

A sequence of concepts to acquire, ordered to respect dependencies (prerequisites) and optimize for the goal.

Strategic Relevance

The core output of the experiment: a dynamic, personalized route through the problem space.

Ontology / Taxonomy

A formal specification of the concepts in a domain and the relationships between them. Taxonomy emphasizes hierarchical classification; ontology includes richer relations.

Strategic Relevance

The "road network" that enables pathfinding. Without domain structure, there is no map to navigate.

Concept Relationship

A typed edge between two concepts in a domain ontology. Types include: prerequisite (A before B), contrast (A differs from B), analogy (A is like B), hierarchy (A contains B), and sibling (A parallels B).

Strategic Relevance

Relationships determine valid learning paths and enable strategic generation moves. Contrastive relationships clarify boundaries; analogical relationships bootstrap understanding; prerequisite relationships constrain sequencing.

4. Concept Translation

Every primitive in this experiment traces to established research. This table maps our vocabulary to its academic origins, ensuring intellectual honesty and enabling deeper exploration.