What do mathematicians do?

Answer 1

A math teacher obviously TEACHES MATH at all different lever a child might need to learn

Answer 2

Mathematicians are people whose primary area of study and research is the field of mathematics.

Another answer

To expand on the answer above:

Very broadly, mathematics can be divided into pure mathematics, applied mathematics and mathematical statistics, though the boundaries are very blurry. Also, computer science and theoretical physics blend in to mathematics.

Pure mathematics: Advancing mathematics for its own sake.

Applied mathematics: Applying mathematics to other areas, including physics, chemistry, Biology, ecology, engineering, computing, and financial mathematics.

Mathematical statistics: Contains the theory of probability and statistics, and applications to any area where there is probability or uncertainty, from physics to medicine and social science.

These areas feed off one another. Attempts to solve practical problems can lead to new mathematical tools in pure mathematics, and areas that are originally pursued for their own sake turn out to have applications.

A lot of mathematicians work in colleges and universities, where they spend time teaching, but also working on creating new mathematics or applying mathematics to new problems.

Other mathematicians are employed by governments, industry and business, where the focus is mainly on using mathematics to solve practical problems (the NSA, for example, is responsible for all cryptological defense in the United States, and hires some of the best mathematicians in the nation for this purpose, given that most cryptological problems are highly complex).