See it first
Every idea starts as a picture or interactive model, then becomes notation.
Mathematics · Beginner
Mathematical Foundations
Rebuild mathematics from the ground up. Every rule you were once told to memorise is rediscovered here — visually, logically, step by step — until it feels inevitable.
10 modules
~40 hours
Beginner
What you'll be able to do
- See why arithmetic rules work, not just how
- Reason fluently with fractions, ratios and percentages
- Translate word problems into clean algebra
- Write your first rigorous arguments and proofs
Module by module
01What a number really is
Place value, magnitude and estimation as a way of seeing quantity.
02Operations, visually
Area models for multiplication, number lines for subtraction, grouping for division.
03Fractions without fear
Parts, wholes and equivalence built from pictures, then made symbolic.
04Ratio, rate and proportion
The single idea behind speed, scale, recipes and percentages.
05Patterns and sequences
Spotting structure, describing it, then generalising it.
06The language of algebra
Variables as placeholders for 'any number' — and what that unlocks.
07Equations as balance
Solving by keeping both sides true, never by memorised moves.
08Geometry and measurement
Angles, area and the Pythagorean theorem through dissection proofs.
09Logic of proof
If–then reasoning, counterexamples and why 'it worked three times' isn't proof.
10Capstone: explain it back
Teach a concept of your choice from first principles.
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
Students who were taught maths as rules to memorise, adults returning to maths, and anyone heading into science or computing.
Before you start
None. This is the place to start.
Keep going
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A toolkit for thinking clearly: decompose, model, test and verify — on puzzles first, then on real problems.
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Intermediate
Algebra & Functions, Visually
Graphs that move, functions you can feel. Linear, quadratic and exponential thinking made intuitive.
Math × CS
Intermediate
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Sets, logic, counting, induction and graphs — the mathematics that computers actually run on.