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title: Substrate Math Translation Simulator
emoji: 🧮
colorFrom: indigo
colorTo: blue
sdk: static
app_file: index.html
pinned: false
license: cc-by-nc-sa-4.0
---
# Substrate Math Translation Simulator v0.1
A standalone educational translation simulator that explains math concepts through different cognition styles.
## Core principle
Math stays math. The route changes so the learner can meet the structure.
## What this Space demonstrates
Users choose a math topic, select a cognition / explanation route, tune support preferences, and generate a tailored explanation.
The simulator supports topics such as arithmetic operations, fractions and ratios, algebra, functions, geometry, graphing, probability, statistics, calculus basics, and linear algebra basics.
## Cognition routes
- Visual / map-based
- Concrete examples first
- Technical / symbolic
- Story / metaphor
- Stepwise / literal
- Fast associative / pattern-jump
- Skeptical / red-team
- Lived-context / practical stakes
- Teacher / scaffolded lesson
## Pressure form
S_learning,t = A_translation,t × B_math,t − P_mismatch,t
Where:
- A_translation = how well the explanation route matches the learner-selected support profile
- B_math = the stable mathematical structure substrate
- P_mismatch = cognition-format mismatch pressure
## Boundary statement
This simulator is an educational translation prototype. It is not a clinical, psychological, or educational assessment. It does not diagnose cognition, rank intelligence, replace teachers, replace practice, or replace formal mathematical rigor. It adapts explanation format while preserving the mathematical concept and its boundaries.
## Substrate education principle
A learner should not be made to feel stupid because the explanation arrives in the wrong format. The format should adapt while the mathematical structure remains honest.
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