International Group for the Psychology of Mathematics Education (PME)

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

Basic Arithmetic Skills of Elementary School Teacher Students in Different Number Ranges

Jessica Hoth, Ricarda Holland, Carolin Wosch, Tobias Rolfes

University of Rostock

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 643–650ISSN 2790-36482026Scopus conference code 336559
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Abstract

Arithmetical skills are essential for informed participation in society and are cumulatively developed through mathematics education up to higher education. This study examines the relationship between elementary school teacher students' skills with natural numbers, integers and rational numbers. Data from 1,711 elementary school teacher students were analyzed using item response theory and structural equation modelling. Results revealed high skills with natural numbers and rational numbers, but notably lower performance with integers. Structural equation modelling showed exceptionally strong relationships between natural number and integer skills, with both direct and indirect pathways from natural numbers to rational numbers, indicating partial mediation.

Keywords

Basic arithmetic skillselementary school teacher studentsnumber ranges

Recommended citation

Hoth, J., Holland, R., Wosch, C., & Rolfes, T. (2026). Basic Arithmetic Skills of Elementary School Teacher Students in Different Number Ranges. 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. 643–650). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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