Los corpúsculos pitagóricos para medir longitudes finitas
- Esteve-Blasco, M 1
- González-Astudillo, M. T. 1
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1
Universidad de Salamanca
info
- Teresa F. Blanco (coord.)
- Cristina Núñez-García (coord.)
- María C. Cañadas (coord.)
- José Antonio González-Calero (coord.)
Argitaletxea: Sociedad Española de Investigación en Educación Matemática, SEIEM
ISBN: 978-84-09-45038-1
Argitalpen urtea: 2022
Orrialdeak: 259-267
Biltzarra: Sociedad Española de Investigación en Educación Matemática. Simposio (25. 2022. Santiago de Compostela)
Mota: Biltzar ekarpena
Laburpena
This paper deals with the initial training of future secondary school mathematics teachers about the measurement of finite lengths using the method employed in the Pythagorean school. After a thorough historical analysis, a didactic engineering was designed with the aim of using the history of calculus to achieve a more in-depth training of future teachers. This has made possible to deal with aspects such as the infinite decomposition of a segment and the concept of infinitely small magnitude in the case where this length is an irrational number. The conclusions indicate that, although initially the subjects did not consider the use of infinite processes, when they were confront