Freudenthal's mathematics education theory mainly includes "realistic mathematics", "mathematization", "re-creation" and "thought experiment method". Among them, Friedenthal believes that "realistic mathematics" means that mathematics should be closely linked with real life, and mathematics education should let students experience the charm of mathematics in solving practical problems; "Mathematization" means that mathematics education should focus on cultivating students' abstract thinking ability so that they can abstract general laws from specific problems; "Re-creation" means that teachers should guide students to discover, explore and create knowledge themselves, rather than simply accepting the knowledge taught by teachers; "Thinking experiment method" refers to stimulating students' interest and curiosity in mathematics through some simple thinking experiments.

These ideas can be applied to practical problems, such as physics, chemistry, biology and other fields, and solving practical problems requires mathematical knowledge.