International Group for the Psychology of Mathematics Education (PME)

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

Bridging Representations in Fraction Operations: Exploring the Decision-making of Future Teachers in Germany and Spain

Pedro Ivars, Ceneida Fernández, Sebastian Kuntze, Jens Krummenauer

Universidad de Alicante

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 683–690ISSN 2790-36482026Scopus conference code 336559
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Abstract

Noticing is a teacher competence that implies attending, interpreting and making decisions in teaching-learning situations, and that can be developed in initial training programs analysing vignettes. Since vignettes often are contextually framed, research is needed to explore noticing of pre-service teachers from different cultural and institutional contexts. Participants are 73 Spanish and 56 German pre-service teachers (PTs) who had to plan a follow-up lesson after analysing a cartoon-based vignette depicting a teaching–learning situation about fraction operations. Results show that most PTs from the both groups were able to provide a problem according to the objective of the follow-up lesson, but they had difficulties in justifying their decisions.

Keywords

vignettesteacher noticingfraction operationspre-service teachers

Recommended citation

Ivars, P., Fernández, C., Kuntze, S., & Krummenauer, J. (2026). Bridging Representations in Fraction Operations: Exploring the Decision-making of Future Teachers in Germany and Spain. 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. 683–690). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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