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p-Index From 2021 - 2026
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All Journal Journal of Didactic Mathematics
Castro-Fernández, Felipe
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Education Mathematics

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The concept of variable and the 3UV model: A literature review Castro-Fernández, Felipe; Lop-Herrera, Reinier; Juárez-López, José Antonio
Journal of Didactic Mathematics Vol 5, No 1 (2024): April
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v5i1.2105

Abstract

Based on a literature review covering the time period 2005-2023, the objective of this article is to present the research trends on the concept of variable and the contributions for its study made through the theoretical framework called Model of the Three Uses of the Variable (Model 3UV). For this reason, a documentary research design was developed with a qualitative approach and at a descriptive level. The instruments for the collection and analysis of information were a search log, a bibliographic matrix, and a synthesis matrix, elaborated in the Excel software. The technique used to carry out the documentary review was the content analysis, from the deductive analytical categories: objective, research method and conclusion. The advanced search was carried out in Academic Google and of the total results obtained, the 10 most relevant articles published during the period 2005-2023 were selected. One of the main findings found was the identification of three trends in research with Model 3UV: the first, related to teaching proposals; the second, concerning the understanding of difficulties in the learning of students; and the third, concerning teaching materials.
The teaching-learning process of the continuity of real variable functions: A literature review Maxil-Cardoso, G. Elizabeth; Castro-Fernández, Felipe; Juárez-Lopez, José Antonio
Journal of Didactic Mathematics Vol 5, No 3 (2024): December
Publisher : Mahesa Research Center

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34007/jdm.v5i3.2329

Abstract

This article´s objective is to present the current state of research on the teaching-learning process of continuity of real variable functions. To achieve this, a documentary research design with a qualitative approach and a descriptive depth level was adopted. The instruments for data collection and analysis included a search log, a bibliographic matrix, and a synthesis matrix, created using Excel software. The technique used for the literature review was qualitative content analysis, based on deductive analytical categories: objective, theoretical framework, research method, and conclusions. Advanced searches were conducted on Google Scholar, on Scopus and Web of Science and out of the total results found, 13 relevant articles published during the period 2020-2023 were selected. Among the main findings, the use of a variety of theoretical frameworks in the foundation of the analysed studies was identified, such as the theory of semiotic representations, the MTSK model, the TPACK, and the conceptual contributions of Tall and Vinner, among others. Additionally, a growing interest in the use of technological tools, such as GeoGebra, to enhance the teaching and learning process of mathematics in general, and the continuity functions in particular. Although its limitations, it was identified that this software can be used as a tool for visualization, construction, representation and communication of mathematical knowledge.
Co-Authors Juárez-López, José Antonio Lop-Herrera, Reinier Maxil-Cardoso, G. Elizabeth