International Group for the Psychology of Mathematics Education (PME)

Proceedings of the International Group for the Psychology of Mathematics Education · Volume 1

Towards Theoretical Validation Within Cognitive Role-playing: a High School Case Study

Giovannina Albano, Cristina Coppola, Angela Donatiello

University of Salerno

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 355–362ISSN 2790-36482026Scopus conference code 336559
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Abstract

This study frames theorem learning as a process of scientific “enculturation” fostering rational behaviour. We present a case study of a teaching setting that supports 10th graders’ development of theoretical validation within Euclidean geometry. The analysis of the evolution of shared geometrical arguments along the didactical path shows a movement from naïve justification to theoretical validation within a geometrical system aligned with the standards of the mathematical community.

Keywords

Theoretical validationmathematical proofrole playingmathematical communication

Recommended citation

Albano, G., Coppola, C., & Donatiello, A. (2026). Towards Theoretical Validation Within Cognitive Role-playing: a High School Case Study. In Krzywacki H., Hähkiöniemi M., Haataja E., Hannula M.S., Hästö P. (Eds.), Proceedings of the International Group for the Psychology of Mathematics Education, Volume 1 (pp. 355–362). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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