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Problem-solving methods: choose the right one

Choose a method from the output you need: a deduction, feasible assignment, tested cause, option comparison, bottleneck improvement, or validated assumption.

Use the method selector
Problem-solving methods board comparing constraint, cause, decision, and bottleneck structures

How do you choose a problem-solving method?

Match the method to the structure of the evidence and the output required. Do not choose a familiar tool before defining what the work must produce.

Deduction is strong when rules are fixed. Hypothesis testing is stronger when several mechanisms could explain an observation. A decision matrix compares feasible options but cannot diagnose a cause. If the gap itself is unclear, write a testable problem statement before selecting a method. Use the plain-language problem-solving glossary when two terms appear similar but imply different outputs.

Compare eight problem-solving methods

Start with the output you need, then check the failure mode before choosing.

Constraint mapping guide

Use when
The rules are known, but many assignments or arrangements are possible.
Produces
A feasible assignment and a record of which rules forced it.
Watch for
Treating preferences as requirements or stopping at the first feasible answer.
Read the constraint mapping guide

Decision matrix guide

Use when
Several feasible options have meaningful, competing tradeoffs.
Produces
A documented comparison with a sensitivity check.
Watch for
Scoring options that fail hard requirements or using unanchored numbers.
Read the decision matrix guide

Puzzle playtesting guide

Use when
A puzzle needs evidence about clarity, fairness, difficulty, or alternate answers.
Produces
Observed solve paths, classified issues, and a controlled revision.
Watch for
Teaching during the test or treating ambiguity as difficulty.
Read the puzzle playtesting guide

A reliable selection workflow

  1. Define the output. Decide whether you need an explanation, assignment, comparison, flow improvement, or tested assumption.
  2. Check what is known. Separate fixed rules, observations, options, flow data, and untested beliefs.
  3. Choose one primary method. Use supporting methods only when they answer a separate question.
  4. Set the stopping rule. State what evidence is enough for the next safe action and what signal would reopen the work.

Use the complete problem-solving guide library for worked examples after choosing the method.