Abstract
In this paper, we analyze and discuss an empirical example related to students’ socalled techno-authoritarian proof schemes, i.e. when digital technologies come to play
the authority of establishing mathematical truth. The example stems from a pilot study
concerning the interplay between the uses of original historical sources, in this case
Euclid’s Elements, and digital technologies, here the dynamical software environment,
GeoGebra. As part of the analysis, we make use of the constructs of justificational,
epistemic and pragmatic mediations as analytical tools for planning the work with
proofs and proving using digital technologies. We conclude that digital tools can
indeed support students’ work with original mathematical sources, and that these
sources further can support an explicit and common awareness of difficulties and
possibilities while working with proofs and proving within these technologies, not least
in trying to counteract the activation of students’ techno-authoritarian proof schemes.
the authority of establishing mathematical truth. The example stems from a pilot study
concerning the interplay between the uses of original historical sources, in this case
Euclid’s Elements, and digital technologies, here the dynamical software environment,
GeoGebra. As part of the analysis, we make use of the constructs of justificational,
epistemic and pragmatic mediations as analytical tools for planning the work with
proofs and proving using digital technologies. We conclude that digital tools can
indeed support students’ work with original mathematical sources, and that these
sources further can support an explicit and common awareness of difficulties and
possibilities while working with proofs and proving within these technologies, not least
in trying to counteract the activation of students’ techno-authoritarian proof schemes.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 10th ERME topic conference : Mathematics Education in the Digital Age (MEDA) |
| Editors | Ana Donevska-Todorova, Eleonora Faggiano, Jana Trgalova, Zsolt Lavicza, Robert Weinhandl, Alison Clark-Wilson, Hans-Georg Weigand |
| Number of pages | 8 |
| Place of Publication | Linz |
| Publisher | Johannes Kepler University Linz |
| Publication date | 2020 |
| Pages | 483-490 |
| ISBN (Electronic) | 978-3-9504630-5-7 |
| Publication status | Published - 2020 |
| Event | The 10th ERME Topic Study Conference on Mathematics Education in the Digital Age: Mathematics Education in the Digital Age 2020 - Johannes Kepler University, Linz, Austria Duration: 16 Sept 2020 → 18 Sept 2020 Conference number: 10 https://www.jku.at/linz-school-of-education/steam/meda-conference-2020/ |
Conference
| Conference | The 10th ERME Topic Study Conference on Mathematics Education in the Digital Age |
|---|---|
| Number | 10 |
| Location | Johannes Kepler University |
| Country/Territory | Austria |
| City | Linz |
| Period | 16/09/20 → 18/09/20 |
| Internet address |
Keywords
- learning, educational science and teaching
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