Chapter 259

Practice Problem Generation

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The Problem Factory

```text "Generate practice problems for [skill/concept]:

PROBLEM SET STRUCTURE: 1. Warm-up (3 problems) - Review previous concepts - Build confidence - Activate prior knowledge

2. Core Practice (5 problems) - Target specific skill - Increasing complexity - Different contexts

3. Challenge Problems (2 problems) - Combine multiple concepts - Real-world complexity - Creative application

4. Reflection Questions - What was hardest? Why? - Which strategies worked? - What patterns did you notice?

Include detailed solutions with multiple approaches." ```text

Adaptive Difficulty Engine

```text "Based on my performance, adjust problem difficulty:

IF I SOLVED EASILY: - Increase complexity by 20% - Add time constraints - Combine with other concepts - Remove scaffolding

IF I STRUGGLED: - Decrease complexity by 10% - Add more guided steps - Provide similar examples - Break into sub-problems

IF I PARTIALLY SUCCEEDED: - Maintain difficulty - Vary problem types - Add hints system - Focus on weak spots

Track mastery indicators for each concept." ```text