Reasoning with digital technologies - counteracting students’ techno-authoritarian proof Schemes

Marianne Thomsen, Uffe Thomas Jankvist

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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.
OriginalsprogEngelsk
TitelProceedings of the 10th ERME topic conference : Mathematics Education in the Digital Age (MEDA)
RedaktørerAna Donevska-Todorova, Eleonora Faggiano, Jana Trgalova, Zsolt Lavicza, Robert Weinhandl, Alison Clark-Wilson, Hans-Georg Weigand
Antal sider8
UdgivelsesstedLinz
ForlagJohannes Kepler University Linz
Publikationsdato2020
Sider483-490
ISBN (Elektronisk)978-3-9504630-5-7
StatusUdgivet - 2020
BegivenhedThe 10th ERME Topic Study Conference on Mathematics Education in the Digital Age: Mathematics Education in the Digital Age 2020 - Johannes Kepler University, Linz, Østrig
Varighed: 16 sep. 202018 sep. 2020
Konferencens nummer: 10
https://www.jku.at/linz-school-of-education/steam/meda-conference-2020/

Konference

KonferenceThe 10th ERME Topic Study Conference on Mathematics Education in the Digital Age
Nummer10
LokationJohannes Kepler University
Land/OmrådeØstrig
ByLinz
Periode16/09/2018/09/20
Internetadresse

Emneord

  • Læring, pædagogik og undervisning
  • GeoGebra
  • Matematik
  • Originalkilder

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