Abstract
Abstract This paper focuses on two main objectives. The first, to describe and characterise instrumental approach involving artefact and instrument differentiation, instrumental genesis and orchestration along with the instrument-mediated activity model. The second, to present and discuss one of five cube cross-section lessons designed and carried out in our mixed methods research project. Altogether, a paper workbook, dynamic applets and 3D prints form a five-set toolkit, each corresponding to one of the five designed lessons. The main research idea was to explore how digital and physical manipulatives could be integrated into solid geometry lessons to support the development of students’ visualisation. In this paper, Lesson 2 will be described in detail, which, like the others, has been particularly influenced by the instrumental approach. Its individual attributes will be depicted according to the personally adapted activity model.
Highlights
Understanding three-dimensional objects from their digital or paper-and-pencil images can be challenging
This paper is focused on a detailed description of Lesson 2, the main idea of which is to combine physical and digital manipulatives to support the development of students’ spatial visualisation, and support the correct cube cross-sectional drawings of cubes in the paper-andpencil environment
We mainly focused on the differentiation of artefacts and instruments, instrumental genesis and orchestration together with an instrumentmediated activity model
Summary
Understanding three-dimensional objects from their digital or paper-and-pencil images can be challenging. It means not all students can understand 3D virtual or 3D graphic representations of geometric solids in order to see the relative positions among their shapes and figures. The use of various digital technologies has grown steadily in the past years due to the promotion of technologies at various levels of education. In this way, as noted by Lieban (2019), physical resources seemed to be replaced more by the digital ones rather than being complemented by them. In (Gutiérrez, 1996a) the close relationship between
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
