Onto-semiotic analysis of diagrammatic reasoning
Fecha
2022Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
Impacto
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10.1007/s10763-022-10316-z
Resumen
Diagrams 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 o ...
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Diagrams 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. [--]
Materias
Diagrammatic reasoning,
Epistemic analysis,
Fraction concept,
Onto-semiotic configuration,
Visualization
Editor
Springer
Publicado en
International Journal of Science and Mathematics Education (2022)
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Versión del editor
Entidades Financiadoras
Research 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-I00