Abstract: Hans Freudenthal was an all-round scholar of mathematics and mathematics education in Holland in the 20th century. In pure mathematics, his research interests are topology, algebra, geometry, etc. As a mathematics educator, he founded the journal Educational Studies in Mathematics, organized the International Congress on Mathematical Education, etc. And his series of educational propositions still have very positive guiding significance today. He also dabbled in the history of mathematics.

Key Words: Hans Freudenthal; Topology; Geometry and Lie Group; Mathematics Education