All chapters in this track
Chapter 3 of 5
3. Problem-Solving
Frameworks & Models
MECE Principle + Issue Trees
McKinsey & Co.
Mutually Exclusive, Collectively Exhaustive. Decompose any problem into non-overlapping, complete sub-problems. The gold standard in management consulting, strategy, and complex diagnostics. Works because it prevents both gaps (missing a cause) and overlaps (double-counting effort).
Design Thinking
Stanford d.school / IDEO
- Empathize
- Define
- Ideate
- Prototype
- Test
The dominant innovation framework at Apple, Google, IBM, and in healthcare/education reform. Best-in-class for human-centered problems because it front-loads understanding the user before generating solutions.
TRIZ (Theory of Inventive Problem Solving)
Genrich Altshuller
40 inventive principles derived from analyzing 200,000+ patents. Identifies contradiction patterns and maps them to proven resolution strategies. Used by Samsung, Boeing, P&G. Unmatched for technical and engineering problems because it replaces trial-and-error with systematic invention.
Root Cause Analysis: "5 Whys" + Ishikawa (Fishbone) Diagram
Toyota Production System
Ask "why" iteratively to move from symptoms to causes; categorize causes across:
- People
- Process
- Materials
- Equipment
- Environment
- Management
The foundation of lean manufacturing and Six Sigma. Effective because most people solve symptoms; this forces depth.
Cynefin Framework
Dave Snowden
Classifies problems into five domains:
- Clear
- Complicated
- Complex
- Chaotic
- Confused
Each domain demands a different problem-solving approach:
- Best practice
- Good practice
- Emergent practice
- Novel practice
Critical because applying the wrong approach to the wrong domain is the most common strategic error — you can't "best practice" your way through a complex adaptive system.
Polya's Problem-Solving Method
George Polya, How to Solve It
- Understand
- Plan
- Execute
- Review
Simple, universal, and the most cited problem-solving heuristic in mathematics and engineering education for 80+ years. Its power is in the discipline of the first and last steps, which most people skip.
Mental Tools
| Tool | Use Case | Why It Works |
|---|---|---|
| Constraint Mapping | Scoping | List all constraints explicitly before solving. Prevents wasted effort on infeasible solutions |
| Analogical Transfer | Novel problems | Find structurally similar solved problems in other domains. Research shows expert problem-solvers do this 3× more than novices |
| Working Backward | Goal-oriented problems | Start from the desired end state and reverse-engineer the steps. Standard in mathematics, logistics, and project planning |
| Reframing / Problem Redefinition | Stuck problems | "Are we solving the right problem?" Often the solution is inaccessible because the problem is mis-stated |
| Pareto Analysis (80/20) | Prioritization | Identify the 20% of causes producing 80% of the effect. Prevents equal-effort-across-all-causes trap |