Mathematics is a way of defining and solving problems by combining logic with insight, and by finding patterns and structure. At the most basic level, we use the abstract concept of number to understand what we observe, and we develop the method of counting ; at a higher level, we use the language of calculus to understand motion, and we develop the methods of differentiation and integration. But mathematics is more than just computations with numbers and derivatives. Math is a formal way of thinking an art that ties together the abstract structure of reason and the framework of quantitative and qualitative models in the natural and social sciences. Mathematics further involves the discovery of new relationships between various seemingly disparate quantities as well as the development of abstract concepts that can be applied to aid our understanding of the world we live in.