e-Pedagogium 2020, 20(3):90-100 | DOI: 10.5507/epd.2020.015

Axial symmetry as a mathematical, educational and cognitive phenomenon

Alena Prídavkováa, Iveta Kovalčíkováb
a PU v Prešove, Pedagogická fakulta, Katedra matematickej edukácie, Ul. 17. novembra 15, 080 01 Prešov, Slovensko, e-mail: alena.pridavkova@unipo.sk
b PU v Prešove, Pedagogická fakulta, Výskumné centrum kognitívnej edukácie, Ul. 17. novembra 15, 080 01 Prešov, Slovensko, e-mail: iveta.kovalcikova@unipo.sk

The paper describes the process of a standard mathematical problem transformation into a learning task (task for developing the ability to learn) from the field of symmetry (axial symmetry). The task is constructed so that the items of the task are graded based on the attributes of cognitive difficulty. Levels of difficulty were defined by the properties of the objects used. The learning properties of the task are manifested in the educational instructions. These are formulated for the particular task items and are gradually assigned to the child in the learning process. The analytical strategy of the solution (analytical approach) is applied. The items of the task presented in the paper are created in the iconic mode of representation (Bruner, 1960); situations are depicted in two-dimensional space.

Keywords: orientation in space, axial symmetry, mathematical task, ability to learn, cognitive analysis of task.

Received: June 26, 2020; Revised: June 26, 2020; Accepted: September 13, 2020; Published: December 31, 2020  Show citation

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Prídavková, A., & Kovalčíková, I. (2020). Axial symmetry as a mathematical, educational and cognitive phenomenon. e-Pedagogium, 20(3), 90-100. doi: 10.5507/epd.2020.015
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