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Identifying and describing generic, specific, and catalytic enablers of mathematical modelling

  • Vince Geiger*
  • , Peter Galbraith
  • , Mogens Niss
  • , Mirjam Schmid
  • *Corresponding author

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

In this article, we report on an Australian study in which generic, specific, and catalytic enablers of mathematical modelling are identified and described. The study adopted a design-based research approach involving six secondary teachers, and their intact classes, over three years. Data was generated from 60 pre/post-teacher and student (Years 9–11) interviews, which was subject to reductive thematic analysis, consistent with the principles of inductive category formation. This analysis led to the development of a Typology for Instructional Enablers of Mathematical Modelling which identifies and describes both enablers and un-enablers of modelling activity. These are related to external/internal/personal learning goals, classroom expectations and ways of working, management of the learning process, and instructional anticipation. Enablers/un-enablers are further categorised into generic, specific, and catalytic dimensions. Implications for both practice and future research are discussed, including the nature of catalytic enablers and the connections between enablers and specific aspects of the modelling process.
Original languageEnglish
JournalZDM - Mathematics Education
Volume57
Issue number2
Pages (from-to)289-302
Number of pages14
ISSN1863-9690
DOIs
Publication statusPublished - 2025

Keywords

  • Anticipation
  • Competency
  • Didactical contract
  • Enablers
  • Mathematical modelling

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