eSpyMathematical taxonomy
Canonical topics, aliases, course placement, prerequisites, related concepts, and future-topic links.
Research & Development
R&D behind the Configurator.
eSpyMath studies mathematical structure, problem patterns, difficulty, learning relationships, and content quality so the Question Configurator can produce more useful and dependable practice.
Source evidenceBooks · curricula · question banks
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Knowledge modelTopics · formulas · relationships
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Pattern researchFamilies · variation · difficulty
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ValidationAnswers · solutions · QA
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ConfiguratorTargeted practice
Research focus
Core mathematical research
Problem-pattern research
Reusable mathematical structures that separate deep problem logic from superficial parameter changes.
Difficulty architecture
Reasoning depth, representations, constraints, special cases, parameter complexity, and method selection.
Answer & solution quality
Validation of answers, distractors, restrictions, diagrams, and step-by-step reasoning.
Learning relationships
Connections among prerequisites, representations, related concepts, recovery paths, and next topics.
Content production
Reusable authoring and printable-output workflows for structured mathematical knowledge.
R&D tools
Support products for the Configurator
Experimental systems used to investigate knowledge, patterns, authoring, and quality workflows.
Taxonomy + source researchPattern infrastructure
Content production
Student Reference & Search
Topic search, mapped references, examples, practice, and learning paths.
Open prototype → Knowledge model842 Topic Knowledge System
Formula, definition, topic, and reinforced-subtopic organization.
Open prototype →Pattern Knowledge Repository
Pattern extraction, normalization, deduplication, validation, and future certification.
Research layerTopic PDF Creator
Structured course/topic data transformed into printable topic materials.
Open prototype → Math authoringHTML-LaTeX Editor
Editable HTML, LaTeX formulas, images, and workbook/PDF output.
Open prototype → Internal QATaxonomy Audit Workbench
Catalog and canonical-mapping review before data enters production systems.
Open workbench →