Loading [MathJax]/extensions/tex2jax.js

Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autorschaft

Externe Organisationen

  • Institut Montpelliérain Alexander Grothendieck (IMAG)

Details

OriginalspracheEnglisch
Titel des SammelwerksProceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024)
Herausgeber/-innenS. Gonzalez-Martin, G. Gueudet, I. Florensa
Seiten135 - 144
PublikationsstatusVeröffentlicht - 10 Juni 2024
VeranstaltungINDRUM2024: Fifth conference of the International Network for Didactic Research in University Mathematics - Barcelona, Spanien
Dauer: 10 Juni 202414 Juni 2024
Konferenznummer: 5
https://indrum2024.sciencesconf.org

Publikationsreihe

NameProceedings of the International network for didactic research in university mathematics
ISSN (elektronisch)2496-1027

Abstract

This article is a continuation of our previous work on structuralist aspects of analysis at university in the framework of the Anthropological Theory of the Didactic. We now examine how the teaching of abstract structures (in particular metric spaces and topology) may contribute to Klein's perspective of “Elementary Mathematics from a higher standpoint”. Precisely, on the basis of a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics and in the light of the notion of structuralist praxeology and its dialectics, we discuss whether we can defend teaching the notion of connectedness to teacher students as a means to link real and abstract analyses in the spirit of Klein.

Zitieren

Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis. / Hausberger, Thomas ; Hochmuth, Reinhard.
Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). Hrsg. / S. Gonzalez-Martin; G. Gueudet; I. Florensa. 2024. S. 135 - 144 (Proceedings of the International network for didactic research in university mathematics).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Hausberger, T & Hochmuth, R 2024, Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis. in S Gonzalez-Martin, G Gueudet & I Florensa (Hrsg.), Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). Proceedings of the International network for didactic research in university mathematics, S. 135 - 144, INDRUM2024: Fifth conference of the International Network for Didactic Research in University Mathematics, Barcelona, Spanien, 10 Juni 2024.
Hausberger, T., & Hochmuth, R. (2024). Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis. In S. Gonzalez-Martin, G. Gueudet, & I. Florensa (Hrsg.), Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024) (S. 135 - 144). (Proceedings of the International network for didactic research in university mathematics).
Hausberger T, Hochmuth R. Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis. in Gonzalez-Martin S, Gueudet G, Florensa I, Hrsg., Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). 2024. S. 135 - 144. (Proceedings of the International network for didactic research in university mathematics).
Hausberger, Thomas ; Hochmuth, Reinhard. / Structuralist praxeologies in the perspective of Klein : the case of connectedness in analysis. Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). Hrsg. / S. Gonzalez-Martin ; G. Gueudet ; I. Florensa. 2024. S. 135 - 144 (Proceedings of the International network for didactic research in university mathematics).
Download
@inproceedings{9f3a1bd5391542a9a4072cc905008f09,
title = "Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis",
abstract = "This article is a continuation of our previous work on structuralist aspects of analysis at university in the framework of the Anthropological Theory of the Didactic. We now examine how the teaching of abstract structures (in particular metric spaces and topology) may contribute to Klein's perspective of “Elementary Mathematics from a higher standpoint”. Precisely, on the basis of a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics and in the light of the notion of structuralist praxeology and its dialectics, we discuss whether we can defend teaching the notion of connectedness to teacher students as a means to link real and abstract analyses in the spirit of Klein. ",
author = "Thomas Hausberger and Reinhard Hochmuth",
year = "2024",
month = jun,
day = "10",
language = "English",
series = "Proceedings of the International network for didactic research in university mathematics",
pages = "135 -- 144",
editor = "Gonzalez-Martin, {S. } and G. Gueudet and I. Florensa",
booktitle = "Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024)",
note = "Fifth conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024), INDRUM 2024 ; Conference date: 10-06-2024 Through 14-06-2024",
url = "https://indrum2024.sciencesconf.org",

}

Download

TY - GEN

T1 - Structuralist praxeologies in the perspective of Klein

T2 - Fifth conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024)

AU - Hausberger, Thomas

AU - Hochmuth, Reinhard

N1 - Conference code: 5

PY - 2024/6/10

Y1 - 2024/6/10

N2 - This article is a continuation of our previous work on structuralist aspects of analysis at university in the framework of the Anthropological Theory of the Didactic. We now examine how the teaching of abstract structures (in particular metric spaces and topology) may contribute to Klein's perspective of “Elementary Mathematics from a higher standpoint”. Precisely, on the basis of a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics and in the light of the notion of structuralist praxeology and its dialectics, we discuss whether we can defend teaching the notion of connectedness to teacher students as a means to link real and abstract analyses in the spirit of Klein.

AB - This article is a continuation of our previous work on structuralist aspects of analysis at university in the framework of the Anthropological Theory of the Didactic. We now examine how the teaching of abstract structures (in particular metric spaces and topology) may contribute to Klein's perspective of “Elementary Mathematics from a higher standpoint”. Precisely, on the basis of a real and abstract analysis textbook used in the transition between Bachelor and Master degree programs in mathematics and in the light of the notion of structuralist praxeology and its dialectics, we discuss whether we can defend teaching the notion of connectedness to teacher students as a means to link real and abstract analyses in the spirit of Klein.

UR - https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf

M3 - Conference contribution

T3 - Proceedings of the International network for didactic research in university mathematics

SP - 135

EP - 144

BT - Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024)

A2 - Gonzalez-Martin, S.

A2 - Gueudet, G.

A2 - Florensa, I.

Y2 - 10 June 2024 through 14 June 2024

ER -

Von denselben Autoren