Middle School Math Mistake Review Assistant
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Please follow https://skillhub.cn/install/skillhub.md to install @user_ae7a4960/math-mistake-review-skill.
About this skill
Problem
When a student uploads a photo of a wrong junior-high math problem, the hard part is usually not copying it into an error notebook. It is extracting the exam point, the key logical turn, and a reusable practice path. If the record only keeps the original question and answer, the student may still fail on the same reasoning break when the problem changes slightly.
Workflow
The skill turns an uploaded mistake photo into a Markdown review file named by topic. It aligns the analysis with the 2025-2026 senior-high entrance math syllabus, covering numbers and expressions, equations and inequalities, functions, geometry, and statistics/probability.
The main pipeline includes:
- Question restoration: rewrite the stem in Markdown and LaTeX, such as
$\triangle ABC$,$\cong$, and$\sqrt{x}$. - Exam point: name the core concept, e.g., maximum of quadratic functions, circle tangent properties, or similarity criteria.
- Key insight: identify the decisive reasoning step in one or two sentences.
- Solution restoration: present complete solution steps rather than only the final answer.
- Variants: generate two same-difficulty questions with folded explanations, changing data or context while preserving the tested logic.
- Geometry SVG: for plane geometry, coordinate systems, function graphs, or composite shapes, output an SVG diagram with
viewBox="0 0 600 500", arrows, labeled points, and dashed auxiliary lines; pure algebra or statistics/probability items state that no SVG is needed.
Limits
The skill assumes the model can read the uploaded image and that the photo contains both the original question and the standard answer. It is scoped to junior-high math review, not high-school math, university math, elementary olympiad, or non-math subjects. Generated variants and geometry labels should still be checked against the syllabus before formal use.
Use Cases
- After a student photos a geometry mistake, turn the stem, exam point, solution, and two variants into a Markdown error notebook.
- During zhongkao review, convert a quadratic-function error into structured material, extracting the maximum-value point and two variants.
- Transform a similarity triangle exam photo into a review document with LaTeX restoration, key insight, and an SVG auxiliary-line diagram.
- Turn a student's function-graph mistake into a printable review card with full analysis and two same-difficulty practice problems.
Best For
- Grade 9 students maintaining an error notebook who need mistake photos turned into exam points, key insights, solutions, and variants.
- Tutors preparing zhongkao math students who need error review materials and practice variants for explanation.
- Curriculum staff producing teaching materials who need syllabus-checked exam points and same-difficulty generated questions.
- Parents printing error cards who want geometry photos restored into review documents with SVG diagrams.
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