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All Journal International Journal of Didactic Mathematics in Distance Education Journal on Mathematics Education
Rodríguez-Vásquez, Flor Monserrat
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Education Mathematics Social Sciences Other

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Effective strategies for formulating and articulating a well-defined research problem: context in the field of mathematics education Rodríguez-Nieto, Camilo Andrés; Rodríguez-Vásquez, Flor Monserrat; Cantillo-Rudas, Benilda María; Font Moll, Vicenç; Sudirman, Sudirman
International Journal of Didactic Mathematics in Distance Education Vol. 2 No. 1 (2025): ijdmde
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/ijdmde.v2i1.10344

Abstract

This research offers an answer to the question: How to pose and write a research problem in Mathematics Education? To do so, a qualitative descriptive methodology was implemented, developed in four stages: first, it presents a general overview of the Theories in Mathematics Education and some articles where relevant studies have been reported; in the second stage, the means by which research can be disseminated or published are presented; in the third, meanings and ways to pose a research problem are shown and, finally, in the fourth stage, some theoretical reflections on the problem statement are presented. The results show that the writing and statement of the problem does not necessarily follow a structure, that depends on the type of research and the way in which the author reports his ideas or in which theoretical framework he frames his work, for example, research questions from the Onto-semiotic Approach and the Extended Theory of Connections are presented. However, a special path is suggested that has worked very well to be implemented in future research. In conclusion, for research to be successful, the problem and the issue must be well constructed and supported by the literature, which guides and invites reflection on the choice of theory (if possible), the methodology and the presentation of the results that can be theoretical and practical.
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.
Co-Authors Cantillo-Rudas, Benilda María Font Moll, Vicenç Font, Vicenç Pino-Fan, Luis Roberto Rodríguez-Nieto, Camilo Andrés Sudirman Sudirman