Gold Medal Math Coach
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Please follow https://skillhub.cn/install/skillhub.md and install @user_7da98a98/geometry-math-coach.
About this skill
Problem It Solves
When a student gets a math problem wrong, parents often see only the final answer and cannot tell whether the mistake came from a concept, a missed condition, a formula, a unit, or a calculation step. This skill focuses on reconstructing the error and explaining it visually: it does not simply provide the standard answer, but first locates the failing step and the missing knowledge point, then chooses a teaching path based on whether the student has learned equations.
How It Works
- Error reconstruction: for existing solution steps, it identifies where the work first goes wrong and analyzes causes such as confused concepts, overlooked conditions, wrong formulas, or missing units. For corrected worksheets, it asks about the original mistake and, if needed, lists common pitfalls.
- Grade-level adaptation: it distinguishes lower elementary, upper elementary, and middle school. Lower grades avoid
xandy, using apples, candies, or other concrete objects instead; middle school can use step cards and equation notation. - Method confirmation: if the clearest solution depends on setting an equation, it first asks whether equations have been learned. If not, it switches to diagram-based arithmetic reasoning.
- HTML visualization: it generates a self-contained page with error, diagnosis, diagram, mnemonic, and practice sections. Geometry can use
SVGauxiliary lines, word problems can useCanvasstep highlighting, arithmetic can use CSS Grid filling, and fractions or decimals can use pie charts. - Three-step practice: problems progress from basic consolidation to skill building to extension, each with a full solution that is collapsed by default and expanded on click.
Boundaries
This skill is best suited for K-12 math error review, knowledge-gap diagnosis, and interactive practice pages. It is not an automatic grading system, and its output depends on the draft, worksheet, or incorrect process provided by the user. Remotion video rendering must be explicitly confirmed and is not generated automatically.
Use Cases
- Parents review a corrected geometry mistake to reconstruct the original error, then generate diagram explanations and drills.
- Tutors check whether a student has learned equations before explaining word problems with arithmetic and Canvas steps.
- Teachers review fraction and decimal mistakes to generate pie charts, mnemonics, and three progressive practice problems.
- Parents build a mobile HTML page where a student can expand answers and review unit conversions.
Best For
- Private tutors reviewing elementary geometry errors and using SVG auxiliary lines to explain failing steps
- Parents who need to confirm equation readiness before choosing equation or arithmetic explanations
- Online math teachers creating self-contained HTML practice pages with collapsible answers
- Education content creators turning corrected worksheets into mobile-friendly interactive lesson pages
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