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Mathematics Through Patterns, Proof and Models

Develop mathematical intuition through visual guides to number, geometry, probability, calculus, proof, and the models used to describe change.

Mathematics turns patterns into precise ideas that can be tested and reused. These explanations show how definitions, representations, and proofs work together to solve problems and model uncertain or changing systems.

Questions this discipline explores

  1. How do patterns become definitions, conjectures, and proofs?
  2. Which representations make a mathematical relationship easier to see?
  3. How do probability and calculus model uncertainty and change?

Visual guides

10 articles and animations