Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra

Marianne Thomsen; Uffe Thomas Jankvist

Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra

Marianne Thomsen
, Uffe Thomas Jankvist

Skole, Undervisning og Læring

Aarhus University
The Danish University of Education

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution to proceeding › peer-review

Abstract

This paper addresses how an interplay between original sources and digital tools can support
students’ possibilities to develop the constructive facet of the reasoning competency among 7th grade
students. This is done through a use of the distinction between epistemic and pragmatic mediations.
The case described takes its outset in a pair of students’ work with (part of) Euclid’s proposition 6,
Book IV: To inscribe a square in a given circle. Firstly, the study shows how students’ work with an
original source can be seen as a springboard to create their own mathematical arguments, while
working with GeoGebra. Secondly, it provides insight to how the above-mentioned theoretical
distinction can be seen as a way to highlight some of the opportunities and challenges when working
with an original source (with a geometrical content) in interplay with GeoGebra.

Original language	English
Title of host publication	Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)
Editors	AlfrédRényiInstituteof Mathematics; EötvösLorándUniversityofBudapest,Jul2023,Budapest,Hungary.
Number of pages	8
Place of Publication	Budapest
Publisher	Eötvös Loránd University of Budapest
Publication date	2023
Publication status	Published - 2023

Keywords

learning, educational science and teaching

Access to Document

https://hal.science/hal-04422679/document

Cite this

Thomsen, Marianne ; Jankvist, Uffe Thomas. / Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra. Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). editor / AlfrédRényiInstituteof Mathematics; EötvösLorándUniversityofBudapest,Jul2023,Budapest,Hungary. Budapest : Eötvös Loránd University of Budapest, 2023.

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title = "Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra",

abstract = "This paper addresses how an interplay between original sources and digital tools can support students{\textquoteright} possibilities to develop the constructive facet of the reasoning competency among 7th grade students. This is done through a use of the distinction between epistemic and pragmatic mediations. The case described takes its outset in a pair of students{\textquoteright} work with (part of) Euclid{\textquoteright}s proposition 6, Book IV: To inscribe a square in a given circle. Firstly, the study shows how students{\textquoteright} work with an original source can be seen as a springboard to create their own mathematical arguments, while working with GeoGebra. Secondly, it provides insight to how the above-mentioned theoretical distinction can be seen as a way to highlight some of the opportunities and challenges when working with an original source (with a geometrical content) in interplay with GeoGebra.",

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author = "Marianne Thomsen and Jankvist, \{Uffe Thomas\}",

year = "2023",

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booktitle = "Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)",

publisher = "E{\"o}tv{\"o}s Lor{\'a}nd University of Budapest",

address = "Hungary",

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Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra. / Thomsen, Marianne; Jankvist, Uffe Thomas.
Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). ed. / AlfrédRényiInstituteof Mathematics; EötvösLorándUniversityofBudapest,Jul2023,Budapest,Hungary. Budapest: Eötvös Loránd University of Budapest, 2023.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution to proceeding › peer-review

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AB - This paper addresses how an interplay between original sources and digital tools can support students’ possibilities to develop the constructive facet of the reasoning competency among 7th grade students. This is done through a use of the distinction between epistemic and pragmatic mediations. The case described takes its outset in a pair of students’ work with (part of) Euclid’s proposition 6, Book IV: To inscribe a square in a given circle. Firstly, the study shows how students’ work with an original source can be seen as a springboard to create their own mathematical arguments, while working with GeoGebra. Secondly, it provides insight to how the above-mentioned theoretical distinction can be seen as a way to highlight some of the opportunities and challenges when working with an original source (with a geometrical content) in interplay with GeoGebra.

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Geometrical reasoning in the intersection between historical original sources and the dynamic geometry environment GeoGebra

Abstract

Keywords

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