Define Decision Criteria Before Comparing Options
Criteria written before comparison reduce the temptation to design a scoring system around a preferred option. Continue with Define Decision Criteria Before Comparing Options.
Problem-solving articles, page 4
This archive contains reviewed explanations, worked cases, original practice tasks, and practical methods for reasoning through difficult problems.
Browse by reasoning task
Choose the article that matches the work in front of you. The archive covers formal logic, visual reasoning, probability, lateral thinking, diagnosis, decisions, and puzzle design.
- Understand: clarify a concept or logical distinction.
- Apply: follow a method with a worked case.
- Check: use the failure modes and practice task to test your reasoning.
Opportunity Cost in Problem Prioritization
The cost of choosing one problem includes the value of the best work that the same scarce resources cannot do. Continue with Opportunity Cost in Problem Prioritization.
Reversible vs Irreversible Decisions
Reversible choices can often be tested quickly. Hard-to-reverse choices deserve stronger evidence and explicit exit planning. Continue with Reversible vs Irreversible Decisions.
Decision Trees for Small Uncertain Choices
A small decision tree makes the sequence of choice, uncertainty, and outcome visible. Continue with Decision Trees for Small Uncertain Choices.
Clue Economy in Puzzle Design
Clue economy means every clue has a job, not that a puzzle must use the fewest possible words. Continue with Clue Economy in Puzzle Design.
Design Hint Ladders Without Spoiling the Puzzle
A hint ladder gives the smallest useful nudge first and lets the solver choose how much help to reveal. Continue with Design Hint Ladders Without Spoiling the Puzzle.
Build a Difficulty Curve for a Puzzle Collection
A difficulty curve teaches conventions early, varies demand deliberately, and avoids accidental spikes. Continue with Build a Difficulty Curve for a Puzzle Collection.
Accessible Puzzle Design Beyond Color Alone
Accessibility adds redundant ways to perceive structure without removing the reasoning challenge. Continue with Accessible Puzzle Design Beyond Color Alone.
How to Facilitate Puzzles in a Classroom
Good facilitation makes reasoning discussable and gives slower solvers a meaningful path into the problem. Continue with How to Facilitate Puzzles in a Classroom.
Design Escape-Room Puzzle Flow Without Dead Ends
Puzzle flow coordinates dependencies and feedback so one missed clue does not silently stop the entire experience. Continue with Design Escape-Room Puzzle Flow Without Dead Ends.
Move through the complete archive from the newest problem-solving articles or return to article archive page 3.
Continue by topic or practice
Move from reading to a worked method
Build the underlying method in the problem-solving guide library, or apply it to an explained logic puzzle or brain teaser.