Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile
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 Extend...
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| Format: | Article |
| Language: | English |
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Sriwijaya University
2023-07-01
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| Series: | Journal on Mathematics Education |
| Subjects: | |
| Online Access: | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/343 |
| _version_ | 1827787596982386688 |
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| author | Camilo Andrés Rodríguez-Nieto Vicenç Font Flor Monserrat Rodríguez-Vásquez Luis Roberto Pino-Fan |
| author_facet | Camilo Andrés Rodríguez-Nieto Vicenç Font Flor Monserrat Rodríguez-Vásquez Luis Roberto Pino-Fan |
| author_sort | Camilo Andrés Rodríguez-Nieto |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:51:11Z |
| format | Article |
| id | doaj.art-39acd48e3e1440998a7fc4ef5087fb29 |
| institution | Directory Open Access Journal |
| issn | 2087-8885 |
| language | English |
| last_indexed | 2024-03-11T16:51:11Z |
| publishDate | 2023-07-01 |
| publisher | Sriwijaya University |
| record_format | Article |
| series | Journal on Mathematics Education |
| spelling | doaj.art-39acd48e3e1440998a7fc4ef5087fb292023-10-21T06:31:59ZengSriwijaya UniversityJournal on Mathematics Education2087-88852023-07-0114356358410.22342/jme.v14i3.pp563-584343Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectileCamilo Andrés Rodríguez-Nieto0https://orcid.org/0000-0001-9922-4079Vicenç Font1https://orcid.org/0000-0003-1405-0458Flor Monserrat Rodríguez-Vásquez2https://orcid.org/0000-0002-9596-4253Luis Roberto Pino-Fan3https://orcid.org/0000-0003-4060-7408Faculty of Natural and Exact Sciences, University of the Coast, Barranquilla, Historical Center, ColombiaDepartment of Didactics of Experimental and Mathematical Sciences, University of Barcelona, Barcelona/Cataluña, EspañaFaculty of Mathematics, Autonomous University of Guerrero, Chilpancingo/Guerrero, MéxicoDepartment of Exact Sciences, Universidad de Los Lagos, Osorno/Los Lagos, ChileAn 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.http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/343derivativemathematical connectionsmathematics educationonto-semiotic approachprojectile |
| spellingShingle | Camilo Andrés Rodríguez-Nieto Vicenç Font Flor Monserrat Rodríguez-Vásquez Luis Roberto Pino-Fan Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile Journal on Mathematics Education derivative mathematical connections mathematics education onto-semiotic approach projectile |
| title | Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile |
| title_full | Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile |
| title_fullStr | Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile |
| title_full_unstemmed | Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile |
| title_short | Onto-semiotic analysis of one teacher’s and university students’ mathematical connections when problem-solving about launching a projectile |
| title_sort | onto semiotic analysis of one teacher s and university students mathematical connections when problem solving about launching a projectile |
| topic | derivative mathematical connections mathematics education onto-semiotic approach projectile |
| url | http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/343 |
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