To join seeing and doing:Creating a formula with a virtual and a physical 3d-puzzle
Angelika Bikner‐Ahsbahs, Marit Hvalsøe Schou · University of Southern Denmark Research Portal (University of Southern Denmark) · 2023
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.