Abstract
Recently, it seems that people like to know the solution soon, but in the classroom
it is rather important to understand how to reach the solution. In this respect, school
teachers of mathematics should have their own attitude to mathematics as a meaningful
part of science, and it is also worthy for students of teacher's college to follow the theories
established by excellent mathematicians in the far past. In this paper we pay attention to the
great achievements due to Archimedes and Fourier. The former established a thought method,
which is a basis of modern sciences, in the time of the Greek, and the latter contributed
greatly in the 18th century to the development of the modern mathematics. In this paper we
recommend for teachers and students of mathematics to learn a lot of things from Archimedes
and Fourier, since they were standard bearers of scientific ideas in the respective periods.
