| --- |
| 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 |
| --- |
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| # Substrate Math Translation Simulator v0.1 |
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| A standalone educational translation simulator that explains math concepts through different cognition styles. |
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| ## Core principle |
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| Math stays math. The route changes so the learner can meet the structure. |
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| ## What this Space demonstrates |
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| Users choose a math topic, select a cognition / explanation route, tune support preferences, and generate a tailored explanation. |
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| The simulator supports topics such as arithmetic operations, fractions and ratios, algebra, functions, geometry, graphing, probability, statistics, calculus basics, and linear algebra basics. |
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| ## Cognition routes |
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| - 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 |
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| ## Pressure form |
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| S_learning,t = A_translation,t × B_math,t − P_mismatch,t |
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| Where: |
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| - 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 |
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| ## Boundary statement |
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| 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. |
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| ## Substrate education principle |
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| 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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