The research work in HPM field mainly includes the following aspects:
1 Discussion on "Why", why should the history of mathematics be used in mathematics teaching?
The discussion about "how" and how to integrate the history of mathematics into mathematics teaching has become one of the central topics of international HPM researchers in recent years.
Education-oriented research on the history of mathematics. The historical research of educational orientation mainly studies the history of concepts, formulas, theorems and problems in mathematics curriculum, not for history, but for education. This is the basic work of HPM research.
4. Empirical research on historical similarity. The so-called historical occurrence principle means that the development of individual mathematical cognition follows the historical development order of mathematical thought, which is what we usually call historical similarity.
5. Teaching design and practice exploration. In other words, design the teaching content from the perspective of HPM.
6.HPM and the professional development of mathematics teachers.