Mathematical Foundations
Mathematics is built from a small number of powerful ideas that appear again and again in different forms. Explore familiar operations from their earliest meanings through advanced mathematics, applications, algorithms, and teaching connections.
Start with an operation, explore a mathematical idea, or follow an operation as it grows from elementary arithmetic into higher mathematics.
Browse by Operation
Addition
Combining, movement, structure, vectors, functions, modular arithmetic, and more
Multiplication
Equal groups, area, scaling, repeated structure, products, and transformations
Subtraction
Removing, comparing, finding differences, inverse thinking, change, and distance
Division
Sharing, measuring, ratios, reciprocals, quotients, and decomposition