Using the Many-Facet Rasch Measurement to Assess How Pre-Service Mathematics Teachers Pose Mathematical Literacy Problems


GÜLER SELEK H. K., SEZER BAŞARAN E.

International Journal of Science and Mathematics Education, 2025 (SSCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s10763-025-10606-2
  • Dergi Adı: International Journal of Science and Mathematics Education
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus, IBZ Online, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center)
  • Anahtar Kelimeler: Many-facet Rasch measurement, Mathematical literacy, Pre-service mathematics teachers, Problem posing
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

This embedded mixed-method study aimed to determine the steps followed by pre-service mathematics teachers during the process of posing mathematical literacy problems and to analyze the processes of posing these problems. The participants consisted of 40 pre-service mathematics teachers enrolled in a course on mathematical literacy. They separated into seven groups. They first wrote mathematical literacy problems for four different content areas: “quantity”, “uncertainty and data”, “change and relationships”, and “space and shape”. They wrote down the steps they had followed in the problem-posing process, and then engaged in self-assessment on this problem-posing task. The steps followed by pre-service mathematics teachers were analyzed through the many-facet Rasch analysis method. Self-assessments were analyzed using the content analysis method. Based on the findings of the study, many-facet Rasch analysis identified 12 steps in the mathematical literacy problem-posing process, covering aspects such as context, mathematical content, considering the student level and interest, and evaluation (e.g., consulting an expert on the problem, working on the problem/solution, and revising the problem). The most difficult issues for them in the problem posing process were “clarifying/organizing the problem” and “determining mathematical values”, while the easiest issue was “creating/determining the context”. Also, it was determined that pre-service teachers were mostly inspired by their own lives and previous experiences when creating the contexts.