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Teachers' in-the-moment diagnosis of students' problem-solving difficulties in mathematics
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Municipality of Hudiksvall, Sweden. (LICR)ORCID iD: 0000-0002-3691-1995
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. (LICR)ORCID iD: 0000-0002-9078-777X
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Social Sciences, Department of applied educational science. (LICR)ORCID iD: 0000-0002-5607-213X
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. (Lärande genom imitativa och kreativa resonemang)ORCID iD: 0000-0003-2592-9935
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2026 (English)In: Frontiers in Education, E-ISSN 2504-284X, Vol. 11, article id 1831773Article in journal (Refereed) Published
Abstract [en]

Several studies have shown that learning mathematics can be more effective if students solve problems by their own reasoning than if they follow given solution methods. However, when a student needs help with solving a task it is more challenging for the teacher to support the student’s own reasoning than to describe the method. In a collaborative research and development project, teachers and researchers developed a framework for diagnosing in- the-moment problem-solving difficulties. The present study compares the characteristics of experiment and control group teachers’ diagnoses of student difficulties. The study included 83 teachers making 298 diagnoses. The results show that the teachers in the experiment group, to a higher degree, focused on the problem-solving process, while teachers in the control group focused more on aspects of student competence. The teachers in the experiment group also anchored their diagnoses in the students’ statements and written notes to a greater extent than the control group teachers.

Place, publisher, year, edition, pages
Frontiers Media S.A., 2026. Vol. 11, article id 1831773
Keywords [en]
mathematical reasoning, problem solving, professional development, student difficulties, teaching aids
National Category
Didactics
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-253549DOI: 10.3389/feduc.2026.1831773Scopus ID: 2-s2.0-105044327829OAI: oai:DiVA.org:umu-253549DiVA, id: diva2:2062455
Projects
2019-00038_SkolFI / Undervisning som stödjer elevers kreativa problemlösning i matematik
Part of project
Design principles for mathematics teaching, Swedish Research Council
Funder
Swedish Research Council, 2017-03663Swedish Institute for Educational Research, 2019-00038Available from: 2026-05-26 Created: 2026-05-26 Last updated: 2026-07-20Bibliographically approved

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Sidenvall, JohanBoström, ErikaGranberg, CarinaLithner, JohanSäfström, Anna IdaAndersson, CatarinaPalmberg, BjörnPalm, Torulf

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Sidenvall, JohanBoström, ErikaGranberg, CarinaLithner, JohanSäfström, Anna IdaAndersson, CatarinaPalmberg, BjörnPalm, Torulf
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Umeå Mathematics Education Research Centre (UMERC)Department of Science and Mathematics EducationDepartment of applied educational science
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Frontiers in Education
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