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.