Writing the History of Mathematics: Interpretations of the Mathematics of the Past and Its Relation to theMathematics of Today
Book chapter, 2021

In the present chapter, interpretations of the mathematics of the past are problematized, based on examples such as archeological artifacts, as well as written sources from the ancient Egyptian, Babylonian, and Greek civilizations. The distinction between history and heritage is considered in relation to Euler’s function concept, Cauchy’s sum theorem, and the Unguru debate. Also, the distinction between the historical past and the practical past, as well as the distinction between the historical and the nonhistorical relations to the past, are made concrete based on Torricelli’s result on an infinitely long solid from the seventeenth century. Two complementary but different ways of analyzing the mathematics of the past are the synchronic and diachronic perspectives, which may be useful, for instance, regarding the history of school mathematics. Furthermore, recapitulation, or the belief that students’ conceptual development in mathematics is paralleled to the historical epistemology of mathematics, is problematized emphasizing the important role of culture.

Synchronic and diachronic perspectives,

Interpretations,

Recapitulation,

History of mathematics,

Epistemology of mathematics,

History and heritage,

Author

Johanna Pejlare

Chalmers, Mathematical Sciences, Algebra and geometry

Kajsa Bråting

Uppsala University

Handbook of the Mathematics of the Arts and Sciences

2395-2420
978-3-319-70658-0 (ISBN)

Subject Categories

Didactics

Educational Sciences

History of Ideas

Mathematics

Archaeology

Other Mathematics

History

Roots

Basic sciences

Learning and teaching

Pedagogical work

DOI

10.1007/978-3-319-57072-3_63

More information

Latest update

7/12/2023