The relationship between applied and pure mathematics is of utmost concern for Klein. Examples from Volume III of his “Elementarmathematik” illustrate how, starting from an intuitive and sometimes practical approach, Klein develops abstract concepts working in rich “mathematical environments”. The examples concern the concept of empirical function and its comparison with an idealised curve, point sets obtained through circular inversion that lead to compare rational numbers and real numbers, and the “continuous” transformation of curves with the help of a point moving in space.

Precision mathematics and approximation mathematics: the conceptual and educational role of their comparison / Menghini, Marta; Cusi, Annalisa. - (2019), pp. 181-201. - ICME-13 MONOGRAPHS. [10.1007/978-3-319-99386-7_13].

Precision mathematics and approximation mathematics: the conceptual and educational role of their comparison

Menghini Marta
Primo
;
Cusi Annalisa
Secondo
2019

Abstract

The relationship between applied and pure mathematics is of utmost concern for Klein. Examples from Volume III of his “Elementarmathematik” illustrate how, starting from an intuitive and sometimes practical approach, Klein develops abstract concepts working in rich “mathematical environments”. The examples concern the concept of empirical function and its comparison with an idealised curve, point sets obtained through circular inversion that lead to compare rational numbers and real numbers, and the “continuous” transformation of curves with the help of a point moving in space.
2019
The Legacy of Felix Klein
978-3-319-99385-0
978-3-319-99386-7
Precision mathematics and approximation mathematics; mathematical environments; mathematics teacher training; empirical functions; circular inversion; transformation of curves; Felix Klein
02 Pubblicazione su volume::02a Capitolo o Articolo
Precision mathematics and approximation mathematics: the conceptual and educational role of their comparison / Menghini, Marta; Cusi, Annalisa. - (2019), pp. 181-201. - ICME-13 MONOGRAPHS. [10.1007/978-3-319-99386-7_13].
File allegati a questo prodotto
File Dimensione Formato  
Menghini_Precision-mathematics_2019.pdf

accesso aperto

Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 3.99 MB
Formato Adobe PDF
3.99 MB Adobe PDF
Menghini_copertina-indice-testo-quarta di copertina_Precision-mathematics_2019.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 2.88 MB
Formato Adobe PDF
2.88 MB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1261337
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 2
social impact