To join seeing and doing: Creating a formula with a virtual and a physical 3d-puzzle

Angelika Bikner-Ahsbahs*, Marit Hvalsøe Schou

*Kontaktforfatter

Publikation: Kapitel i bog/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Abstract

We focus on the role of artefacts when students are expected to set up a geometric formula. For that, we employ the lately created concept of ‘views on formula’ in a case study design situated in a social constructivist approach, and explore how a pair of students in upper secondary creates a formula for a pyramid using two artefacts, a virtual and a physical 3D-puzzle, which share the same structure of six pyramids building a cube. Our aim is to characterize the contributions of the two artefacts on the students’ way of setting-up the formula. Main results are that the transparency of the virtual puzzle shows that the six pyramids fit together while the physical artefact is not transparent but allows embodied arguing for the formula. Joining viewing and doing through both artefacts fosters an in-depth understanding of creating the formula.

OriginalsprogEngelsk
TitelProceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023
RedaktørerMichal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
Antal sider8
Vol/bind1
ForlagPsychology of Mathematics Education (PME)
Publikationsdato2023
Sider115-122
ISBN (Trykt)9789659311224
StatusUdgivet - 2023
Begivenhed46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 - Haifa, Israel
Varighed: 16. jul. 202221. jul. 2022

Konference

Konference46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023
Land/OmrådeIsrael
ByHaifa
Periode16/07/202221/07/2022
NavnProceedings of the International Group for the Psychology of Mathematics Education
Vol/bind2
ISSN0771-100X

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