Textbook Study Materials

Textbook Study Materials

Overview

Create learning materials that help students understand book content, not just summarize it. Default to Chinese unless the user requests another language. Prefer a rigorous but teachable structure: concept map, core definitions/theorems, intuitive explanation, worked examples, common traps, graded practice, and reference answers.

Workflow

1. Inspect the source.

   • For TeX, read the preamble, section commands, theorem/problem environments, enumerate labels, title page, headers, and any existing answer style.
   • For book chapters or pasted text, identify grade level, subject, prerequisite knowledge, core concepts, formulas, and typical misconceptions.
   • If the grade or exam target is missing, infer it from notation and problem style; ask only when that inference would change the output substantially.

2. Choose the output type.

   • Use a handout for teaching a chapter or topic.
   • Use a worksheet/practice book for drills by type.
   • Use an exam paper for timed assessment.
   • Use a guided reading note when the user wants book comprehension without many exercises.

3. Build the learning path.

   • Start each chapter or section with a short learning goal and prerequisite check.
   • Explain each concept twice: first by intuition or geometry, then by formal statement.
   • Add examples in increasing difficulty: direct application, transformed condition, synthesis, and trap/edge case.
   • Add "Think" or "Check" prompts where students commonly jump steps.
   • End with summary formulas, error warnings, and a small graded practice set.

4. Write student-centered content.

   • Keep definitions precise and examples concrete.
   • Show why each method applies before calculating.
   • For proofs, state the idea first, then give the formal proof.
   • For calculations, expose substitutions, equivalent transformations, and condition checks.
   • Avoid inventing textbook facts not supported by the source; mark assumptions when the source is incomplete.

5. Format the material.

   • For LaTeX handouts or exams, load references/layout-and-pedagogy.md.
   • Prefer the templates in assets/study-handout-template.tex and assets/exam-template.tex when producing .tex.
   • Keep math in standard LaTeX, use ctexart, and preserve Chinese punctuation and labels.
   • If the user requests a PDF, create the .tex first and then compile with an available LaTeX workflow.

Output Patterns

Handout

Use this order:

1. Title page and table of contents
2. \section{...} for the topic
3. \subsection{题型一：...} or \subsection{概念一：...}
4. Concept/theorem boxes
5. Worked examples with analysis and solution
6. Practice problems
7. Reference answers

Practice Book

Group by method or question type, not by random difficulty. Each group should include:

• A one-paragraph method summary
• 3-6 representative problems
• 2-4 transformations or traps
• Detailed answers after the problem group or in a final answer section

Exam Paper

Use a clean exam structure:

• Paper information: subject, time limit, total score, difficulty or target
• Instructions
• Sections such as 选择题, 多选题, 填空题, 解答题
• Numbered problems with points
• Separate reference answer section unless the user asks for a student-only paper

Quality Checklist

Before finishing, check:

• The material has a clear learning sequence rather than a list of facts.
• Every formula is introduced with meaning, applicable conditions, and at least one example.
• Examples are not all the same pattern.
• Exercises have enough scaffolding for the intended student level.
• LaTeX environments are balanced and compile-oriented.
• Answers match the questions and include key reasoning, not only final values.