International Group for the Psychology of Mathematics Education (PME)

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

Preservice Teachers’ Understanding of Multiplication: Insights Via Representations?

Daniela Assmus, Nina Bohlmann, Kerstin Bräuning, Caren Feskorn, Torsten Fritzlar, Heike Hahn, Simone Reinhold, Denise Resche

Leipzig University

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 1211–1218ISSN 2790-36482026Scopus conference code 336559
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Abstract

Teachers’ specialized content knowledge on arithmetic operations is considered to play a meaningful role for teaching as learners’ development depends on their teachers’ understanding of relevant concepts, especially concerning the variety of strategies and representations for multiplication. This paper reports on a study with 863 preservice primary teachers from three different universities at the beginning of their university studies for teaching mathematics, using a written survey. Results of the study which included drawing tasks and tasks requiring preservice teachers’ comments, illustrate a surprisingly wide variety of iconical representations, and moreover reveal the novices’ challenges in finding corresponding comments to their drawings. Implications and obstructive details from the results are discussed.

Keywords

preservice teachersmultiplicationrepresentationsdrawingscomments

Recommended citation

Assmus, D., Bohlmann, N., Bräuning, K., Feskorn, C., Fritzlar, T., Hahn, H., Reinhold, S., & Resche, D. (2026). Preservice Teachers’ Understanding of Multiplication: Insights Via Representations?. 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. 1211–1218). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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