International Group for the Psychology of Mathematics Education (PME)

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

The Role of Same Unit Coordination in the Development of Advanced Multiplicative Reasoning Schemes: a Longitudinal Study

Rui Ding, Boyuan Xue, Xixi Deng, Jiajia Li

Northeast Normal University

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 347–354ISSN 2790-36482026Scopus conference code 336559
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Abstract

Same-Unit Coordination (SUC) has been proposed as a necessary requisite for Mixed-Unit Coordination (MUC) and Place-Value, Base-10 reasoning (PV-B10), yet longitudinal evidence is limited. We followed 225 Grade 3-4 students in Northeast China across three waves and employed Latent Class Growth Modeling to identify the role of SUC on the advanced multiplicative schemes. Two latent classes (high-decreasing vs. low-increasing) were identified based on their developmental pattern on SUC. Mixed-design repeated-measures ANOVA showed significant Class × Time interactions for both MUC and PV-B10: the high-decreasing class declined on both schemes, whereas the low-increasing class improved. Results suggest SUC as an adaptor in the development of advanced multiplicative reasoning schemes.

Keywords

Multiplicative reasoningSame unit coordinationMixed unit coordinationPlace-value base 10

Recommended citation

Ding, R., Xue, B., Deng, X., & Li, J. (2026). The Role of Same Unit Coordination in the Development of Advanced Multiplicative Reasoning Schemes: a Longitudinal Study. 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. 347–354). Psychology of Mathematics Education (PME). ISSN 2790-3648.
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