Since the beginning of time, everyone everyday uses math even without realizing it. Math is a building block that we use throughout our daily lives. As one gets older, the definition of math will grow and unfold more and more. This maybe why answering this daunting question is so difficult.
Math is a language. Math is a tool. Math is a logical science.
This may not answer the question completely, but it is a start...
To share some of my favorite math accomplishments:
1. Developing a Counting System
2. Pythagorean Theorem
5. Euler's Method