The formation of students’ mathematical competence through competence-oriented tasks
The aim of the article is to reveal the possibilities of the content of linear algebra teaching in the formation of mathematical competence of future mechanical engineers. The implementation of the experimental research involved the use of qualitative and quantitative methods: observations, conversa...
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| Publicado en: | Apuntes Universitarios |
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| Formato: | Artículo de revista |
| Lenguaje: | español |
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Universidad Peruana Unión
2021
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| _version_ | 1881695032605409280 |
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| author | Vladimirovna Terekhova, Natalya Aleksandrovna Zubova, Elena |
| author_browse | Aleksandrovna Zubova, Elena Vladimirovna Terekhova, Natalya |
| author_facet | Vladimirovna Terekhova, Natalya Aleksandrovna Zubova, Elena |
| author_sort | Vladimirovna Terekhova, Natalya |
| collection | Revistas |
| container_title | Apuntes Universitarios |
| description | The aim of the article is to reveal the possibilities of the content of linear algebra teaching in the formation of mathematical competence of future mechanical engineers. The implementation of the experimental research involved the use of qualitative and quantitative methods: observations, conversations with teachers of mathematical disciplines, testing, and mathematical processing of research results. Methodological support of the course “Linear Algebra” was prepared, containing a system of competence-oriented tasks. The study was conducted at the Industrial University of Tyumen (Russia). Experimental (86 students) and control (87 students) groups were formed from first and second-year students. In the control groups, training took place according to the traditional method. Statistical analysis of the results obtained when comparing two empirical distributions was carried out using the Pearson χ2 test. As a result of the study, the features of the academic discipline “Linear Algebra” in the formation of mathematical competencies of students of technical universities were identified. An approach to the formulation of a competence-oriented problem was developed. The classification of tasks was carried out by types (algorithmic, research, computational, instrumental, modeling) and levels (reproduction, establishment of connections, reasoning). The results of the scientific and experimental work indicate an increase in the level of mathematics competence of future mechanical engineers and fully confirm the effectiveness of the proposed method of teaching linear algebra. |
| format | Online |
| id | oai:ojs2.apuntesuniversitarios.upeu.edu.pe:article/775 |
| institution | UPeU |
| issn | 2304-0335 2225-7136 |
| language | Spanish |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Universidad Peruana Unión |
| publisherStr | Universidad Peruana Unión |
| record_format | ojs |
| revista_str_mv | Apuntes Universitarios |
| spelling | oai:ojs2.apuntesuniversitarios.upeu.edu.pe:article/7752021-10-14T13:46:00Z The formation of students’ mathematical competence through competence-oriented tasks La formación de la capacidad matemática de los estudiantes a través de tareas orientadas a la competencia. Vladimirovna Terekhova, Natalya Aleksandrovna Zubova, Elena Mathematics, competencies, education, algebra, formal science. Matemáticas, competencias, educación, algebra, ciencias formales. The aim of the article is to reveal the possibilities of the content of linear algebra teaching in the formation of mathematical competence of future mechanical engineers. The implementation of the experimental research involved the use of qualitative and quantitative methods: observations, conversations with teachers of mathematical disciplines, testing, and mathematical processing of research results. Methodological support of the course “Linear Algebra” was prepared, containing a system of competence-oriented tasks. The study was conducted at the Industrial University of Tyumen (Russia). Experimental (86 students) and control (87 students) groups were formed from first and second-year students. In the control groups, training took place according to the traditional method. Statistical analysis of the results obtained when comparing two empirical distributions was carried out using the Pearson χ2 test. As a result of the study, the features of the academic discipline “Linear Algebra” in the formation of mathematical competencies of students of technical universities were identified. An approach to the formulation of a competence-oriented problem was developed. The classification of tasks was carried out by types (algorithmic, research, computational, instrumental, modeling) and levels (reproduction, establishment of connections, reasoning). The results of the scientific and experimental work indicate an increase in the level of mathematics competence of future mechanical engineers and fully confirm the effectiveness of the proposed method of teaching linear algebra. El objetivo del presente artículo es revelar las posibilidades del contenido de la enseñanza del álgebra lineal en la formación de la competencia matemática de los futuros ingenieros mecánicos. La implementación de la investigación experimental involucró el uso de métodos cualitativos y cuantitativos: observaciones, conversaciones con profesores de disciplinas matemáticas, pruebas y procesamiento matemático de los resultados de la investigación. Se preparó el soporte metodológico del curso “Álgebra lineal”, que contiene un sistema de tareas orientadas a competencias. El estudio se realizó en la Universidad Industrial de Tyumen (Rusia). Se formaron grupos experimentales (86 alumnos) y de control (87 alumnos) a partir de estudiantes del primer y segundo año. En los grupos de control, el entrenamiento se llevó a cabo según el método tradicional. El análisis estadístico de los resultados obtenidos al comparar dos distribuciones empíricas se realizó mediante la prueba de la χ2 de Pearson. Como resultado del estudio, se identificaron las características de la disciplina académica “Álgebra lineal” en la formación de competencias matemáticas de estudiantes de universidades técnicas. Se desarrolló un enfoque para la formulación de un problema orientado a las competencias. La clasificación de tareas se realizó por tipos (algorítmica, de investigación, computacional, instrumental, modelado) y niveles (reproducción, establecimiento de conexiones, razonamiento). Los resultados del trabajo científico y experimental indican un aumento en el nivel de competencia matemática de los futuros ingenieros mecánicos y confirman completamente la efectividad del método propuesto para enseñar álgebra lineal. Universidad Peruana Unión 2021-07-11 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/775 10.17162/au.v11i4.775 Apuntes Universitarios; Vol. 11 Núm. 4 (2021): Revista de Investigación Apuntes Universitarios; 310- 322 2304-0335 2225-7136 10.17162/au.v11i4 spa https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/775/809 Derechos de autor 2021 Natalya Vladimirovna Terekhova, Elena Aleksandrovna Zubova https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Mathematics, competencies, education, algebra, formal science. Matemáticas, competencias, educación, algebra, ciencias formales. Vladimirovna Terekhova, Natalya Aleksandrovna Zubova, Elena The formation of students’ mathematical competence through competence-oriented tasks |
| title | The formation of students’ mathematical competence through competence-oriented tasks |
| title_alt | La formación de la capacidad matemática de los estudiantes a través de tareas orientadas a la competencia. |
| title_full | The formation of students’ mathematical competence through competence-oriented tasks |
| title_fullStr | The formation of students’ mathematical competence through competence-oriented tasks |
| title_full_unstemmed | The formation of students’ mathematical competence through competence-oriented tasks |
| title_short | The formation of students’ mathematical competence through competence-oriented tasks |
| title_sort | formation of students mathematical competence through competence oriented tasks |
| topic | Mathematics, competencies, education, algebra, formal science. Matemáticas, competencias, educación, algebra, ciencias formales. |
| topic_facet | Mathematics, competencies, education, algebra, formal science. Matemáticas, competencias, educación, algebra, ciencias formales. |
| url | https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/775 |
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