Substrate Math Translation Simulator v0.1

A non-diagnostic learning translator that explains math concepts through different cognition styles. Select a math topic, choose an explanation route, tune support preferences, and generate a dignity-preserving explanation.
Math stays math. The route changes so the learner can meet the structure.
Math translation, not replacement Cognition-aware learning No diagnosis No forced closure Substrate education layer

Learning Input

Self-described support only. This is not diagnosis or assessment.
Abstraction Tolerance
Lower = concrete first. Higher = structure/symbols first.
Example Need
How much the explanation should lean on examples and worked cases.
Symbol Density
Controls how much equation/symbol language appears.
Metaphor Density
Controls analogy, imagery, and story language.
Pacing / Scaffold
Higher = slower sequencing and more definitions.
Learning Accessibility
0.00
How well supports match the chosen cognition route.
Understanding Layer
FIRST PASS
Whether the output targets intuition, working model, or formal layer.
Translation Route
The cognitive route used for this explanation.
Math translation pressure form:
S_learning,t = A_translation,t × B_math,t − P_mismatch,t
Rule: preserve the mathematical structure, adapt the explanation route.

Math Structure Field

Concept = structure · Symbols = compressed map · Translation = route into understanding.

Generated Math Explanation

Boundary statement: This simulator is an educational translation prototype. It does not replace teachers, textbooks, practice, formal proof, or mathematical rigor. It does not diagnose cognition or rank intelligence. It adapts explanation format while preserving the math concept and its boundaries.