The Relationship of Mathematical Modelling Education to Problem Solving, Problem Posing, and Creativity

Jinfa Cai, Gabriele Kaiser, Roza Leikin, Jonas Bergman Ärlebäck

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter discusses the relationships between mathematical modelling education and two other approaches in mathematics education: mathematical problem solving and problem posing and creativity. By highlighting the similarities and differences between the three, the chapter aims to explore how these approaches can inform and support each other for further progress. Various aspects are highlighted, such as the characterisation of tasks, the emphasis on nonroutine and open-ended solution strategies and processes, nuanced differences in their orientation and focus (especially in relation to the real world), the role of teacher mentoring and scaffolding, and theoretical frameworks. Suggestions for future research developments related to mathematical problem solving and problem posing, creativity, and mathematical modelling are also presented.

Original languageEnglish
Title of host publicationInternational Perspectives on the Teaching and Learning of Mathematical Modelling
PublisherSpringer Science and Business Media B.V.
Pages47-67
Number of pages21
DOIs
StatePublished - 2025

Publication series

NameInternational Perspectives on the Teaching and Learning of Mathematical Modelling
VolumePart F744
ISSN (Print)2211-4920
ISSN (Electronic)2211-4939

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Keywords

  • Creativity
  • Didactical approaches
  • Mathematical modelling
  • Problem posing
  • Problem solving
  • Relations

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Education
  • Modeling and Simulation

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