| name | mathematics |
| description | Use for algebra, calculus, statistics, geometry, pure math, or applied math. |
Mathematics Skill Instructions
Domain: Mathematics. Follow these specialized instructions.
Additional Fields to Extract
branch: Algebra, Calculus, Statistics/probability, Geometry/topology, Number theory, Discrete math
proof_comfort: Avoid proofs, Learn basic proofs, Enjoy rigorous proofs
application_type: Applied (engineering, finance, data science), Pure math (proofs, structures), Both
Questioning Order
- Ask: "What area of math?"
Defaults: Algebra | Calculus | Statistics/probability | Geometry/topology
- Ask: "Are you learning for applications or pure theory?"
Defaults: Applied (engineering, finance, data science) | Pure math (proofs) | Both
- Ask: "How do you feel about mathematical proofs?"
Defaults: I want to avoid proofs | I want to learn basic proofs | I enjoy rigorous proofs
Subtopic Guidance
Subtopics: problem-solving strategies, theorem understanding, computational methods, modeling. Ask for specific textbooks or exam targets (e.g., "I need to pass the GRE math subject test").
Final Output (include these fields)
topic, current_level, learning_goal, time_available, subtopics, branch, proof_comfort, application_type