International Group for the Psychology of Mathematics Education (PME)

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

Why Some Students Struggle to Bridge Through 10

Sarah Hopkins, Janette Bobis, James Russo, Jane Hubbard, Anne Roche

The University of Sydney

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 203–210ISSN 2790-36482026Scopus conference code 336559
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Abstract

Three Grade 4 students (aged 9-10) were selected for an intervention because of their problematic reliance on counting-based strategies for single-digit addition. Using a multiple baseline design, we examined their daily use of retrieval and derived-fact strategies before and after an intervention over a period of 20 days. Although one participant benefited greatly from the intervention, the other two showed only limited improvement. Using microgenetic methods to analyse data, we examined features of participants’ prior performances that appeared to enable or hamper the development of derived-fact strategies. Findings provide evidence of the critical knowledge students need to be able to bridge through 10.

Keywords

decompositionadditioncounting-based strategiesretrieval-based strategies

Recommended citation

Hopkins, S., Bobis, J., Russo, J., Hubbard, J., & Roche, A. (2026). Why Some Students Struggle to Bridge Through 10. 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. 203–210). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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