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Journal : Journal on Mathematics Education

Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile Rodríguez-Nieto, Camilo Andrés; Font, Vicenç; Rodríguez-Vásquez, Flor Monserrat; Pino-Fan, Luis Roberto
Journal on Mathematics Education Vol. 14 No. 3 (2023): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v14i3.pp563-584

Abstract

An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the Onto-semiotic Approach. The methodology was qualitative-descriptive where data was collected through interviews based on a task. Subsequently, following the joint analysis method of both theories, the mathematical activity of the participants when they solved the task was analyzed. The results show that, teacher and students established a system of connections of feature type, different representations, meanings, part-whole, procedural and implications in terms of practices, processes, objects, and semiotic functions that relate them. However, some students presented difficulties caused by some incorrect mathematical connection such as stating that the maximum height of the projectile is the time obtained with the critical number, errors in performing arithmetic calculations when evaluating the function, graphically representing the quadratic function as a straight line and use the general formula in an inappropriate way that prevents the procedural connection from being made.
Integrating ethnomathematics and ethnomodeling in Institutionalization of school mathematics concepts: A study of fishermen community activities Sudirman; Rodríguez-Nieto, Camilo Andrés; Bonyah, Ebenezer
Journal on Mathematics Education Vol. 15 No. 3 (2024): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v15i3.pp835-858

Abstract

While previous studies have extensively explored ethnomathematics, the relationship between ethnomathematics and ethnomodeling remains underexamined. This study investigates the connections between ethnomathematics and ethnomodeling and their implications for the institutionalization of mathematics in the context of traditional fish auction activities within the Fishermen's Community in Indramayu, Indonesia. Utilizing an ethnographic design, the study involved participants in various auction roles, including auctioneers, boat owners, captains, crew members, and traders. Data were collected through interviews and observations and analyzed using content analysis. The findings reveal that ethnomathematical practices are evident in sorting and grading fish, as well as in auction transactions, with connections to mathematical concepts such as set theory, basic statistics, social arithmetic, and arithmetic operations within an ethnomodeling framework. These results suggest that the integration of ethnomathematics and ethnomodeling into the school curriculum could support the institutionalization of mathematics education and provide a foundation for developing instructional materials based on these practices in the context of traditional fish auctions.