International Group for the Psychology of Mathematics Education (PME)

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

Sixth-grade Students’ Sense-making of Ratio Through Problem Posing

Ratu Ilma Indra Putri, Dhea Anisah Putri, Zulkardi Zulkardi, MIchiel Doorman

universitas Sriwijaya

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 1195–1202ISSN 2790-36482026Scopus conference code 336559
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Abstract

This study explores how sixth-grade students make sense of ratio situations, as reflected in the problems they pose in response to a given context. Adopting a sense-making perspective that views understanding as the process of structuring a situation, we analyze students’ posed problems and interviews in a familiar mixture context. The analysis shows that different framings and interpretations of the same situation can lead to different forms of ratio reasoning and shape the ratio structure students construct. In particular, some framings afford multiplicative and unit-rate reasoning, while others remain oriented toward direct quantitative comparison grounded in the context. These findings contributed to ratio learning by showing how problem posing reveals both the possibilities and limits of students’ emerging sense-making of ratio.

Keywords

Sense_making_ratioproblem posingSix-grade-studentsRealistic_Mathematics_Educationcontext

Recommended citation

Putri, R., Putri, D., Zulkardi, Z., & Doorman, M. (2026). Sixth-grade Students’ Sense-making of Ratio Through Problem Posing. 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. 1195–1202). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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