International Group for the Psychology of Mathematics Education (PME)

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

Mathematics Teachers’ Noticing of Critical Events in Condensed and Expanded Written Versions

Shira Abad, Michal Ayalon, Nadav Marco

Haifa university

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 3–10ISSN 2790-36482026Scopus conference code 336559
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Abstract

This study explores how the level of detail in written critical events shapes mathematics teachers’ noticing. Using the MOST framework and gap-filling theory, the study compares teachers’ interpretations of the same events across condensed and expanded versions. Seven experienced secondary mathematics teachers analyzed three events through written reports and semi-structured interviews. The analysis focused on teachers’ expressions of certainty and the range of interpretations generated in response to each version. Condensed versions elicited more tentative statements and greater interpretive diversity than expanded versions, suggesting that reduced detail promotes gap filling, interpretative flexibility, and openness in teachers’ noticing.

Keywords

noticingcritical eventsrepresentations of practicegap-fillingmathematics teachers’ interpretations

Recommended citation

Abad, S., Ayalon, M., & Marco, N. (2026). Mathematics Teachers’ Noticing of Critical Events in Condensed and Expanded Written Versions. 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. 3–10). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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