See it first
Every idea starts as a picture or interactive model, then becomes notation.
Thinking · Beginner
Logic & Structured Problem Solving
Before mathematics and code, there is reasoning. This course trains the moves expert problem-solvers make without noticing — and makes them explicit, practisable habits.
8 modules
~24 hours
Beginner
What you'll be able to do
- Break unfamiliar problems into tractable parts
- Use propositional logic to check arguments
- Spot hidden assumptions and fallacies
- Verify answers instead of hoping they're right
Module by module
01How to start when you're stuck
Polya's method: understand, plan, execute, look back.
02Statements and truth
AND, OR, NOT, implication — and truth tables that settle arguments.
03Working backwards
Invariants, end-states and reasoning from the goal.
04Cases and exhaustion
Splitting a problem until every branch is obvious.
05Patterns, then proof
From noticing to conjecturing to convincing.
06Estimation and sanity checks
Fermi problems and the art of being roughly right.
07Arguments and fallacies
Judgment: evaluating claims you meet in the real world.
08Puzzle studio
A graded set of puzzles that combine every technique.
The WyPy way
Reason it through
Guided problems ask you to think and explain, not to copy a method.
Step by step
Short lessons with checkpoints, so each idea is solid before the next.
Who this course is for
Designed for
Anyone who freezes on unfamiliar problems, and learners preparing for maths, coding or competitive exams.
Before you start
None.
Keep going
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