International Group for the Psychology of Mathematics Education (PME)

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

Upper Elementary Students’ Performance and Reasoning on Function-graph Tasks

Marios Pittalis, Susanne Strachota, Maria Chimoni, Mathías López

University of Cyprus

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 1179–1186ISSN 2790-36482026Scopus conference code 336559
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Abstract

This study examines Grade 5 and 6 students’ performance on and reasoning about function-graph tasks. Drawing on a synthesis of frameworks, we designed tasks addressing five conceptual categories. Data from 271 students were analyzed using mixed methods. Results show stronger performance on coordination of quantities tasks, particularly with quantitative values, and substantial challenges with tasks requiring functional inferences. Performance on covariational and graph-as-object tasks was more variable. Findings include a framework for analyzing upper elementary students’ reasoning of function graphs, with insight on how task categories foreground distinct reasoning.

Keywords

function graphsfunctional thinkingalgebra

Recommended citation

Pittalis, M., Strachota, S., Chimoni, M., & López, M. (2026). Upper Elementary Students’ Performance and Reasoning on Function-graph Tasks. 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. 1179–1186). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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