Faculty and Staff AI Resource Repository

Interactive Problem Analysis

Guide students through complex problem-solving with AI assistance.

AI Repository > Activity Library > Interactive Problem Analysis
Mathematics Problem-Solving Analysis Advanced Level

Learning Objectives

  • Develop systematic problem-solving approaches
  • Master multiple solution methods
  • Understand problem verification techniques
  • Practice solution explanation
  • Enhance analytical thinking

1. Problem Understanding

  • Identify given information
  • Define unknowns
  • State constraints
  • Clarify objectives

2. Strategy Development

  • Break down problem
  • Consider approaches
  • Plan solution steps
  • Anticipate challenges

3. Implementation

  • Execute solution plan
  • Document steps
  • Track progress
  • Note challenges

4. Verification

  • Check solution
  • Verify logic
  • Test assumptions
  • Consider alternatives

Example Problem: Optimization

A manufacturing company needs to optimize production across three facilities while considering resource constraints and transportation costs.

AI Interaction Sequence:

  1. "Break down this optimization problem into its core components..."
  2. "What are potential approaches for solving this type of problem?"
  3. "Generate a step-by-step solution using [specific method]..."
  4. "Verify this solution and explain potential issues..."

Setting Up the Activity

  1. Present complex problem scenario
  2. Guide initial problem analysis
  3. Facilitate AI tool usage
  4. Monitor solution development
  5. Lead verification process

Sample Problems By Field:

  • Mathematics: Complex equations, optimization problems
  • Physics: Motion analysis, force calculations
  • Engineering: System design, efficiency analysis
  • Economics: Market analysis, cost optimization

Process Assessment (40%)

  • Problem analysis quality
  • Strategy development
  • AI tool utilization
  • Documentation completeness

Solution Quality (30%)

  • Accuracy
  • Efficiency
  • Completeness
  • Innovation

Communication (30%)

  • Explanation clarity
  • Step documentation
  • Reasoning presentation
  • Technical accuracy