International Group for the Psychology of Mathematics Education (PME)

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

Prospective Teachers’ Meanings for Fraction Division: Developing and Applying a Measurement Interpretation

Theodora Avgeri, Maria Bebeni, Konstantinos Tatsis, Xenia Vamvakoussi

university of Ioannina

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 99–106ISSN 2790-36482026Scopus conference code 336559
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Abstract

This paper reports findings from an ongoing design-based research study aimed at enhancing primary teachers’ conceptual understanding of fraction multiplication and division, focusing on the latter. An instructional sequence was designed to support the development of a measurement interpretation of division, transferable from natural to rational numbers. Data from 36 prospective teachers were collected through a pretest, a group task, and individual assignments involving interpretation of fraction division and task design. Analysis indicated that although many participants employed a measurement interpretation after the intervention, most did so inconsistently, often exhibiting misinterpretations of what constitutes a measurement situation. The results highlight specific challenges with division to be considered in teacher education.

Keywords

Fraction divisionMeasurement divisionProspective primary teachersTeacher education

Recommended citation

Avgeri, T., Bebeni, M., Tatsis, K., & Vamvakoussi, X. (2026). Prospective Teachers’ Meanings for Fraction Division: Developing and Applying a Measurement Interpretation. 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. 99–106). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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