From everyday problem to a mathematical solution: Understanding student reasoning by identifying their chain of reference

Jonas Dreyøe, Dorte Moeskær Larsen, Morten Misfeldt

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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Abstract

This paper investigates a group of students reasoning in an inquiry-oriented and open mathematical investigation developed as a part of a large-scale intervention. We focus on the role of manipulatives, articulations, and representations in collaborative mathematical reasoning among grade 5 students. In this analysis, we apply the idea of the chain of reference from the studies of Bruno Latour (1999) to the exploration, generation, and formalization of scientific knowledge. This framework allows us to combine knowledge from mathematics education about language and representations, manipulatives, and reasoning in a way that allows us to follow the material traces of students mathematical reasoning and hence discuss the possibilities, limitations, and pedagogical consequences of the application of Latour's (1991) framework.
Original languageEnglish
Title of host publicationProceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
Number of pages8
Volume2
Place of PublicationUmeå
PublisherLulu Press
Publication date1 Jul 2018
Pages371-378
Publication statusPublished - 1 Jul 2018
Event42nd Conference of the International Group for the Psychology of Mathematics Education - Umeå, Sweden
Duration: 3 Jul 20188 Jul 2018
http://www.pme42.se/

Conference

Conference42nd Conference of the International Group for the Psychology of Mathematics Education
Country/TerritorySweden
CityUmeå
Period03/07/201808/07/2018
Internet address
SeriesP M E Conference. Proceedings
Volume2
ISSN0771-100X

Keywords

  • collaborative mathematical reasoning
  • grade 5 students
  • chain of reference
  • Bruno Latour
  • mathematics
  • students' work process

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