Publication:
Onto-semiotic analysis of diagrammatic reasoning

Date

2022

Authors

Giacomone, Belén
Godino, Juan D.
Blanco, Teresa F.

Director

Publisher

Springer
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105601GB-I00/ES/recolecta

Abstract

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.

Description

Keywords

Diagrammatic reasoning, Epistemic analysis, Fraction concept, Onto-semiotic configuration, Visualization

Department

Estadística, Informática y Matemáticas / Estatistika, Informatika eta Matematika

Faculty/School

Degree

Doctorate program

item.page.cita

Giacomone, 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-z

item.page.rights

© National Science and Technology Council, Taiwan 2022

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