---
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.