{
    "student_id": "student001",
    "target_grade": "11th grade",
    "learning_goal": "Understand and apply key concepts in linear algebra",
    "prior_knowledge_level": "intermediate",
    "topics": [
      {
        "name": "vectors",
        "proficiency": 0.65,
        "sub_topics": ["vector addition", "scalar multiplication", "dot product", "cross product"]
      },
      {
        "name": "matrices",
        "proficiency": 0.50,
        "sub_topics": ["matrix operations", "determinants", "inverse matrices", "matrix transformations"]
      },
      {
        "name": "linear_systems",
        "proficiency": 0.40,
        "sub_topics": ["gaussian elimination", "cramer's rule", "homogeneous systems"]
      },
      {
        "name": "eigenvalues_eigenvectors",
        "proficiency": 0.30,
        "sub_topics": ["characteristic polynomial", "diagonalization", "applications"]
      }
    ],
    "preferred_learning_style": "visual",
    "attention_span_minutes": 45,
    "target_milestones": [
      "Solve systems of linear equations confidently",
      "Understand eigenvalues and eigenvectors conceptually",
      "Apply matrix transformations to geometric problems"
    ],
    "current_avg_score": 73
  }