## Mathematics Experiments - Learning and
Discovering Mathematics with the Help of Computers

Shangzhi Li

School of Science

Beihang University

Beijing 100083, China

**Abstract.**
What is "Mathematics Experiments"? It is an undergraduate course that aims
to stimulate the interest of students in mathematics through examples and experiments. The course is useful not only to mathematics students, but
also to students in other areas of science who are interested in learning
some of the mathematical tools.

The Mathematics Experiments course is designed for students to learn and
to do mathematics with the help of computers. Students begin with problems
and try to solve the problems themselves using their own hands to operate,
their own eyes to observe, and their own brain to think. They guess and verify
laws from phenomena and experience, try to invent new results, and explore applications. We will present our design philosophy and practice with this
course.