Onto-semiotic analysis of diagrammatic reasoning

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dc.contributor.authorGiacomone, Belén
dc.contributor.authorGodino, Juan D.
dc.contributor.authorBlanco, Teresa F.
dc.contributor.authorWilhelmi, Miguel R.
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.date.accessioned2022-12-30T08:49:23Z
dc.date.available2023-08-26T23:00:19Z
dc.date.issued2022
dc.date.updated2022-12-30T08:37:24Z
dc.description.abstractDiagrams and in general the use of visualization and manipulative material play an important role in mathematics teaching and learning processes. Although several authors warn that mathematics objects should be distinguished from their possible material representations, the relations between these objects are still conflictive both from an epistemological point of view as well as an educational one. In this paper, we apply theoretical tools of the onto-semiotic approach of mathematics knowledge to analyze the diversity of objects and processes implied in mathematics activity, which is carried out with diagrammatic representations. This enables us to appreciate the synergic relations between ostensive (visual and sequential languages) and non-ostensive objects (abstract and mental entities) overlapping in mathematics practices. The analysis of the characteristics of diagrammatic reasoning and its interpretation in onto-semiotic terms is contextualized by means of the analysis of solving a problem about fractions by applying three procedures that involve diagrams.en
dc.description.sponsorshipResearch carried out as part of the research projects PID2021-127104NB-I00 (MCIU/AEI/ FEDER, UE), PID2019-105601 GB-I00 / AEI / https://doi.org/10.13039/501100011033, PFIDFID-2021–45 (Panama), 16Q691-PI (FCEQyN–UNaM, Argentina), PID2021-122326OB-I00en
dc.embargo.lift2023-08-26
dc.embargo.terms2023-08-26
dc.format.mimetypeapplication/pdfen
dc.identifier.citationGiacomone, B., Godino, J.D., Blanco, T.F. et al. Onto-semiotic Analysis of Diagrammatic Reasoning. Int J of Sci and Math Educ (2022). https://doi.org/10.1007/s10763-022-10316-zen
dc.identifier.doi10.1007/s10763-022-10316-z
dc.identifier.issn1571-0068
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/44534
dc.language.isoengen
dc.publisherSpringeres_ES
dc.relation.ispartofInternational Journal of Science and Mathematics Education (2022)en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105601GB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1007/s10763-022-10316-z
dc.rights© National Science and Technology Council, Taiwan 2022en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectDiagrammatic reasoningen
dc.subjectEpistemic analysisen
dc.subjectFraction concepten
dc.subjectOnto-semiotic configurationen
dc.subjectVisualizationen
dc.titleOnto-semiotic analysis of diagrammatic reasoningen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublication
relation.isAuthorOfPublicationce311923-583b-4f85-9392-be34254f7961
relation.isAuthorOfPublication.latestForDiscoveryce311923-583b-4f85-9392-be34254f7961

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