Writing the History of Mathematics: Interpretations of the Mathematics of the Past and Its Relation to theMathematics of Today
Kapitel i bok, 2019

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.

Recapitulation,

History of mathematics,

Interpretations,

Synchronic and diachronic perspectives,

History and heritage,

Epistemology of mathematics,

Författare

Johanna Pejlare

Chalmers, Matematiska vetenskaper, Algebra och geometri

Kajsa Bråting

Handbook of the Mathematics of the Arts and Sciences

1-26

Ämneskategorier

Utbildningsvetenskap

Idé- och lärdomshistoria

Matematik

Arkeologi

Annan matematik

Historia

Fundament

Grundläggande vetenskaper

Lärande och undervisning

Pedagogiskt arbete

DOI

10.1007/978-3-319-70658-0

Mer information

Skapat

2020-01-09