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.