What the study found
The study found that teachers' diagnostic competence in real-time mathematical modelling instruction was reflected in how often and how diversely they identified student challenges across modelling phases. This competence was most prominent during the mathematise phase, and least prominent during the interpret phase.
Why the authors say this matters
The authors conclude that the study makes a theoretical contribution by expanding the definition of teachers' diagnostic competence. They suggest it should include the frequency and diversity of identified challenges, as well as the diagnostic practices teachers use and the intentions behind those practices.
What the researchers tested
The researchers qualitatively analyzed nine observed lessons taught by five lower-secondary mathematics in-service teachers. They examined what challenges teachers identified during mathematical modelling tasks and what diagnostic practices they used to detect those challenges.
What worked and what didn't
Two factors stood out as markers of diagnostic competence: the frequency and diversity of challenges identified within each modelling phase. These were evident across all phases, but were strongest in the mathematise phase, significant in the understand simplify and mathematical work phases, and weakest in the interpret phase. The analysis also identified five distinct diagnostic practices used with different goals and timings during instruction.
What to keep in mind
The study is based on five teachers and nine observed lessons, so its scope is limited. The abstract does not describe additional limitations beyond this sample and setting.
Key points
- The study examined teachers' diagnostic competence during real-time mathematical modelling instruction.
- Diagnostic competence was defined as the ability to identify students' challenges.
- Frequency and diversity of identified challenges were key indicators of diagnostic competence.
- The mathematise phase showed the highest frequency and widest range of identified challenges.
- Five diagnostic practices were identified, each used for different goals and timings.
Disclosure
- Research title:
- Teachers most often identified challenges during mathematise phases
- Authors:
- Liron Schwartz-Aviad, Zehavit Kohen
- Institutions:
- Technion – Israel Institute of Technology, Technion – Israel Institute of Technology
- Publication date:
- 2026-03-30
- OpenAlex record:
- View
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