What the study found
Teachers’ diagnostic competence in real-time mathematical modelling instruction was reflected by the frequency and diversity of challenges they identified across modelling phases. This was most prominent in the mathematise phase, and least prominent in the interpret phase.
Why the authors say this matters
The authors conclude that their findings expand the definition of teachers’ diagnostic competence to 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 study examined five lower-secondary mathematics in-service teachers during real-time classroom instruction while they implemented Mathematical Modelling (MM) tasks. The researchers qualitatively analyzed nine observed lessons to identify which student challenges teachers recognized in different modelling phases and what diagnostic practices they used.
What worked and what didn't
Two key factors characterized teachers’ diagnostic competence: how often challenges were identified and how diverse those challenges were within each modelling phase. These were evident across all phases, but most strongly in mathematise, and also notably in understand simplify and mathematical work; the interpret phase showed the least prominence. The analysis also identified five diagnostic practices used by teachers, with different goals and timings during instruction.
What to keep in mind
The abstract describes a small study with five teachers and nine observed lessons, so the findings are limited to that sample and setting. Limitations are not otherwise described in the available summary.
Key points
- The study found that teachers’ diagnostic competence showed up in the frequency and diversity of student challenges they identified.
- These diagnostic indicators were most prominent in the mathematise phase of mathematical modelling.
- Diagnostic competence was also notable in the understand simplify and mathematical work phases, and least prominent in the interpret phase.
- Five distinct diagnostic practices were identified, each used with different goals and timings during instruction.
- The authors say the findings expand the definition of teachers’ diagnostic competence.
Disclosure
- Research title:
- Teachers identified more modelling challenges in the mathematise phase
- Publication date:
- 2026-03-30
- OpenAlex record:
- View
Get the weekly research newsletter
Stay current with peer-reviewed research without reading academic papers — one filtered digest, every Friday.