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

INDIVIDUAL DIFFERENCES IN CONCEPTUAL AND PROCEDURAL KNOWLEDGE OF FRACTIONS AND ALGEBRA: A RASCH-BASED ANALYSIS

Michael D'Erchie, Claire Forsmann, Michael Schneider, Andreas Obersteiner

Technical University of Munich

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinkipp. 331–338ISSN 2790-36482026
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Abstract

Research on individual differences in mathematics learning often distinguishes between conceptual and procedural knowledge and has reported distinct learner profiles based on this distinction. However, most of these studies rely on sum scores that do not account for item difficulty. The present study applied latent profile analysis to ability measures derived from Rasch-scaling measures of conceptual and procedural knowledge in fractions and algebra among 357 seventh-grade students. Across both domains, profiles differed in overall proficiency but not in the relative levels of conceptual and procedural knowledge. No profiles showed high conceptual and low procedural knowledge, or vice versa. These findings support theoretical models that posit a mutually reinforcing development of both knowledge types.

Keywords

fractionsalgebraconceptual and procedural knowledgeRasch analysis

Recommended citation

D'Erchie, M., Forsmann, C., Schneider, M., & Obersteiner, A. (2026). INDIVIDUAL DIFFERENCES IN CONCEPTUAL AND PROCEDURAL KNOWLEDGE OF FRACTIONS AND ALGEBRA: A RASCH-BASED ANALYSIS. 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. 331–338). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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