International Group for the Psychology of Mathematics Education (PME)

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

Which Item Characteristics Drive the Difficulty of Mental Addition and Subtraction Tasks

Daniel Sommerhoff

Leibniz Institute for Science and Mathematics Education (IPN)

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 1379–1386ISSN 2790-36482026Scopus conference code 336559
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Abstract

Mental addition and subtraction are key learning goals in primary education, yet they remain challenging for learners. Unfortunately, there is limited quantitative evidence on characteristics that influence the difficulty of these tasks (DGICs). Using a dataset with 1,085,842 task performances from 7,307 students across 3,434 tasks, this study quantitatively explores more than 10 DGICs. Results (i) show that all proposed DGICs significantly predict item difficulty, (ii) quantify main and interaction effects, and (iii) underline that the DGICs explain over 50% of the variance in student performance, even without considering students’ backgrounds or solution strategies. Overall, this study provides important insights into the difficulty of mental addition and subtraction tasks, informing task design and guiding future research in mathematics education.

Keywords

arithmeticstask designdifficulty-generating item characteristicsprimary school

Recommended citation

Sommerhoff, D. (2026). Which Item Characteristics Drive the Difficulty of Mental Addition and Subtraction Tasks. 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. 1379–1386). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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