International Group for the Psychology of Mathematics Education (PME)

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

Discerning Mathematical Ideas in a Choreography: Pre-service Teachers' Interpretations of Beckett's Quad

Dafna Efron, Nadav Marco, Alik Palatnik

The Hebrew University of Jerusalem

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 395–402ISSN 2790-36482026Scopus conference code 336559
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Abstract

This multiple-case exploratory study examines what mathematical ideas pre-service mathematics teachers (PSTs) discern and represent when interpreting a non-verbal, rule-governed movement system. Twenty-nine PSTs viewed Samuel Beckett’s Quad and produced textual and diagrammatic accounts of the choreography. Analysed through the lens of professional vision, the accounts reveal a variety of mathematical ideas alongside systematic gaps and representational tensions, and in some cases show PSTs extending beyond Beckett’s movement score by drawing on prior mathematical knowledge. Taken together, the findings suggest that observing embodied movement can serve as a diagnostic context for examining emerging professional vision and for informing pedagogical support in embodied mathematics teacher education.

Keywords

embodied geometryprofessional visionpre-service teachersrepresentationmovement-based mathematics

Recommended citation

Efron, D., Marco, N., & Palatnik, A. (2026). Discerning Mathematical Ideas in a Choreography: Pre-service Teachers' Interpretations of Beckett's Quad. 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. 395–402). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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