Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph

Erik Hanke; Reinhard Hochmuth; Thomas Hausberger

Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph

Erik Hanke, Reinhard Hochmuth, Thomas Hausberger

Universität Montpellier

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

Originalsprache	Englisch
Titel des Sammelwerks	Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14)
Herausgeber/-innen	Marianna Bosch, Giorgio Bolondi, S Carreira, C Spagnolo, Michael Gaidoschik
Herausgeber (Verlag)	Free University of Bozen-Bolzano and ERME
Seiten	4096-4103
ISBN (elektronisch)	9791221086553
Publikationsstatus	Veröffentlicht - 2025

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https://hal.science/CERME14/hal-05303470v1Lizenz: Nicht angegeben

Dieses zitieren

Hanke, E., Hochmuth, R., & Hausberger, T. (2025). Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph. in M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, & M. Gaidoschik (Hrsg.), Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14) (S. 4096-4103). Free University of Bozen-Bolzano and ERME. https://hal.science/CERME14/hal-05303470v1

Hanke, Erik ; Hochmuth, Reinhard ; Hausberger, Thomas. / Opportunities for pre-structuralist reasoning in real analysis : a case study on the equivalence between the continuity of a function and the path-connectedness of its graph. Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14). Hrsg. / Marianna Bosch ; Giorgio Bolondi ; S Carreira ; C Spagnolo ; Michael Gaidoschik. Free University of Bozen-Bolzano and ERME, 2025. S. 4096-4103

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title = "Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph",

author = "Erik Hanke and Reinhard Hochmuth and Thomas Hausberger",

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editor = "Marianna Bosch and Giorgio Bolondi and S Carreira and C Spagnolo and Michael Gaidoschik",

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Hanke, E , Hochmuth, R & Hausberger, T 2025, Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph. in M Bosch, G Bolondi, S Carreira, C Spagnolo & M Gaidoschik (Hrsg.), Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14). Free University of Bozen-Bolzano and ERME, S. 4096-4103. <https://hal.science/CERME14/hal-05303470v1>

Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph. / Hanke, Erik ; Hochmuth, Reinhard; Hausberger, Thomas.
Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14). Hrsg. / Marianna Bosch; Giorgio Bolondi; S Carreira; C Spagnolo; Michael Gaidoschik. Free University of Bozen-Bolzano and ERME, 2025. S. 4096-4103.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review

TY - GEN

T1 - Opportunities for pre-structuralist reasoning in real analysis

T2 - a case study on the equivalence between the continuity of a function and the path-connectedness of its graph

AU - Hanke, Erik

AU - Hochmuth, Reinhard

AU - Hausberger, Thomas

PY - 2025

Y1 - 2025

M3 - Conference contribution

SP - 4096

EP - 4103

BT - Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14)

A2 - Bosch, Marianna

A2 - Bolondi, Giorgio

A2 - Carreira, S

A2 - Spagnolo, C

A2 - Gaidoschik, Michael

PB - Free University of Bozen-Bolzano and ERME

ER -

Hanke E , Hochmuth R, Hausberger T. Opportunities for pre-structuralist reasoning in real analysis: a case study on the equivalence between the continuity of a function and the path-connectedness of its graph. in Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Hrsg., Proceedings of the Fourtheeth Congress of the European Society for Research in Mathematics Education (CERME14). Free University of Bozen-Bolzano and ERME. 2025. S. 4096-4103