What is the NKS approach to mathematics? Matthew Szudzik Abstract: Although the electronic computer was first envisioned as an aid in performing mathematical calculations, its influence has now reached beyond mathematics and into many unexpected places in peoples' daily lives. It is somewhat ironic then that the practice of mathematics has changed little since antiquity; but is that about to change? Is a computer-induced revolution in mathematics just on the horizon? Based on the ideas in Stephen Wolfram's 2002 A New Kind of Science, Matthew Szudzik argues that the answer is "yes", and outlines the issues that must be addressed for a mathematics of computation to become the foundation for science in the 21st century.