Mathematical description of the travel of a non-overflowing car garage door
This work presents the mathematical model and the resolution of a real and everyday problem for students of the Engineering career who take basic subjects. A simple model is proposed to study the upward and downward movement of a non-overflowing liftgate, which slides on two horizontal rails and two...
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| Formato: | Artículo revista |
| Lenguaje: | Español |
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Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
2021
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| Acceso en línea: | https://revistas.unc.edu.ar/index.php/REM/article/view/36056 |
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I10-R366-article-36056 |
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I10-R366-article-360562022-03-09T17:15:23Z Mathematical description of the travel of a non-overflowing car garage door Descripción matemática del recorrido de un portón levadizo no desbordante Álvarez, Marcela P. Buffo, Flavia E. Carrizo, Gabriel A. Aprendizaje basado en problemas Cálculo diferencial Modelado matemático Differential calculus Mathematical modelling Problem-based learning This work presents the mathematical model and the resolution of a real and everyday problem for students of the Engineering career who take basic subjects. A simple model is proposed to study the upward and downward movement of a non-overflowing liftgate, which slides on two horizontal rails and two vertical rails. The resolution of the mathematical model goes through different contents, geometry of curves, calculation and differential analysis, topology, optimization. The curve that represents the path of the gate in its opening movement is mathematically described, the technical results of the problem are presented and its importance as a methodological proposal is analyzed, in the context of problem-based learning and competence-based education. En este trabajo se presenta el modelo matemático y la resolución de un problema real y cotidiano para estudiantes de la carrera de Ingeniería que cursan materias básicas. Se propone un modelo simple para estudiar el movimiento de ascenso y descenso de un portón levadizo no desbordante, que se desliza sobre dos rieles horizontales y otros dos verticales. La resolución del modelo matemático atraviesa diferentes contenidos, geometría de curvas, cálculo y análisis diferencial, topología, optimización. Se describe matemáticamente la curva que representa el recorrido del portón en su movimiento de apertura, se presentan los resultados técnicos del problema y se analiza su importancia como propuesta metodológica, en el contexto del aprendizaje basado en problemas y la educación basada en competencias Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2021-12-14 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/36056 10.33044/revem.36056 Revista de Educación Matemática; Vol. 36 Núm. 3 (2021); 39-52 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/36056/36193 https://creativecommons.org/licenses/by-sa/4.0/ |
| institution |
Universidad Nacional de Córdoba |
| institution_str |
I-10 |
| repository_str |
R-366 |
| container_title_str |
Revista de Educación Matemática |
| language |
Español |
| format |
Artículo revista |
| topic |
Aprendizaje basado en problemas Cálculo diferencial Modelado matemático Differential calculus Mathematical modelling Problem-based learning |
| spellingShingle |
Aprendizaje basado en problemas Cálculo diferencial Modelado matemático Differential calculus Mathematical modelling Problem-based learning Álvarez, Marcela P. Buffo, Flavia E. Carrizo, Gabriel A. Mathematical description of the travel of a non-overflowing car garage door |
| topic_facet |
Aprendizaje basado en problemas Cálculo diferencial Modelado matemático Differential calculus Mathematical modelling Problem-based learning |
| author |
Álvarez, Marcela P. Buffo, Flavia E. Carrizo, Gabriel A. |
| author_facet |
Álvarez, Marcela P. Buffo, Flavia E. Carrizo, Gabriel A. |
| author_sort |
Álvarez, Marcela P. |
| title |
Mathematical description of the travel of a non-overflowing car garage door |
| title_short |
Mathematical description of the travel of a non-overflowing car garage door |
| title_full |
Mathematical description of the travel of a non-overflowing car garage door |
| title_fullStr |
Mathematical description of the travel of a non-overflowing car garage door |
| title_full_unstemmed |
Mathematical description of the travel of a non-overflowing car garage door |
| title_sort |
mathematical description of the travel of a non-overflowing car garage door |
| description |
This work presents the mathematical model and the resolution of a real and everyday problem for students of the Engineering career who take basic subjects. A simple model is proposed to study the upward and downward movement of a non-overflowing liftgate, which slides on two horizontal rails and two vertical rails. The resolution of the mathematical model goes through different contents, geometry of curves, calculation and differential analysis, topology, optimization. The curve that represents the path of the gate in its opening movement is mathematically described, the technical results of the problem are presented and its importance as a methodological proposal is analyzed, in the context of problem-based learning and competence-based education. |
| publisher |
Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación |
| publishDate |
2021 |
| url |
https://revistas.unc.edu.ar/index.php/REM/article/view/36056 |
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