Arithmetic – Cantor's Archive

Puzzle

This Math Trick Only Works for Everyone at the End of the Year

So it’s the perfect way to usher in the new year

Field Theory

A Finite Number Of “Numbers”

What exactly is arithmetic on a field of numbers which are merely elements in some set?

Babylonian

A Modern Look at Square Roots in the Babylonian Way

Revisiting the Babylonian method for square roots: why and how does it work?

Arithmetic

The Fundamental Theorem of Arithmetic

Over 2,300 years ago Euclid proved the Fundamental Theorem of Arithmetic. Now it is our turn.

Open Problem

The Collatz Conjecture

Some shocking results from 180,000 iterations

Arithmetic

Multiplication is Repeated Addition

The strange debate and controversy in K-12 math education