International Group for the Psychology of Mathematics Education (PME)

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

How to Make 4c/id Visible? an Online Professional Learning Environment for Mathematics Teachers on Diagnosing and Supporting Problem Solving

Melanie Neck, Timo Leuders, Frank Reinhold

University of Education Freiburg

49th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2026Helsinki27 July 2026 - 1 August 2026pp. 1067–1074ISSN 2790-36482026Scopus conference code 336559
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Abstract

The Four-Component Instructional Design Model (4C/ID) is a well-established and evidence-based framework for the design of professional development programs. However, there is still limited research on how learners actually use the instructional components offered by 4C/ID-based learning environments. To address this gap, we implemented a digital learning environment for mathematics teachers based on the 4C/ID model. A total of 303 pre-service and in-service mathematics teachers completed the intervention focusing on diagnosing students’ mathematical problem-solving abilities and supporting them appropriately. We analysed learners’ interactions with supportive information, their engagement with feedback, and their use of part-task practice. The findings suggest that many learners did not fully exploit the opportunities for self-regulated learning provided by the learning environment.

Keywords

4C/IDproblem-solvingprofessional development

Recommended citation

Neck, M., Leuders, T., & Reinhold, F. (2026). How to Make 4c/id Visible? an Online Professional Learning Environment for Mathematics Teachers on Diagnosing and Supporting Problem Solving. 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. 1067–1074). Psychology of Mathematics Education (PME). ISSN 2790-3648.

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