Modelling in Primary School: Constructing Conceptual Models and Making Sense of Fractions

Juhaina Awawdeh Shahbari, Irit Peled

Research output: Contribution to journalArticlepeer-review


This article describes sixth-grade students’ engagement in two model-eliciting activities offering students the opportunity to construct mathematical models. The findings show that students utilized their knowledge of fractions including conceptual and procedural knowledge in constructing mathematical models for the given situations. Some students were also able to generalize the fraction model and transfer it to a new situation. Analysis of the students’ work demonstrates that they made use of four fraction constructs—part-whole, operator, quotients, and ratio. The activities also revealed difficulties in the students’ knowledge of fractions, some of which were overcome in the process of organizing and mathematizing the problem.

Original languageEnglish
Pages (from-to)371-391
Number of pages21
JournalInternational Journal of Science and Mathematics Education
Issue number2
StatePublished - 1 Feb 2017

Bibliographical note

Publisher Copyright:
© 2015, Ministry of Science and Technology, Taiwan.


  • Fractions
  • Model-eliciting activity
  • Modelling
  • Operator
  • Part-whole

ASJC Scopus subject areas

  • Education
  • General Mathematics


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