Errores matemáticos de estudiantes que ingresan a la universidad
Many students, who enter the university, have mathematical errors that are shown during the process of construction of new content, and impact their academic performance in the discipline. Many authors have recognized the importance of the study and analysis of errors, as a means for learning and an...
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| Formato: | Online |
| Lenguaje: | spa |
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Universidad de Costa Rica
2019
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| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/aie/article/view/35278 |
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| _version_ | 1804220645559500800 |
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| author | Gamboa Araya, Ronny Castillo Sánchez, Mario Hidalgo Mora, Randall |
| author_facet | Gamboa Araya, Ronny Castillo Sánchez, Mario Hidalgo Mora, Randall |
| author_sort | Gamboa Araya, Ronny |
| collection | Revista Actualidades Investigativas en Educación (AIE) |
| description | Many students, who enter the university, have mathematical errors that are shown during the process of construction of new content, and impact their academic performance in the discipline. Many authors have recognized the importance of the study and analysis of errors, as a means for learning and an input for improvement. This article presents the results obtained by analyzing the errors committed by first-year students in the mathematics diagnostic test at the National University, Costa Rica, in the year 2017. The research is qualitative, explanatory and descriptive. The test had 60 unique selection exercises. The students had to write down in the exam brochure all the procedures performed. A random sample of 100 tests was selected. For each item, a choice of tests was made where the students had performed some procedure and the errors were classified according to their origin: mathematical language, spatial information, incorrect inferences or associations, recovery of a previous scheme, incorrect or accidental calculations, and deficiencies in the construction or absence of prior knowledge. The students, in addition to presenting errors in the mentioned categories, presented errors in mathematical contents such as identification of the priority of operations, use of parentheses, concept of absolute value, operations with polynomials, notable formulas, and factorization, among others. The results show that the students present diverse errors and deficiencies in mathematics; therefore, it is necessary to propose strategies, at the university level, to correct this situation and ensure that students have the necessary bases to successfully face the courses of the discipline. |
| format | Online |
| id | INIE-RAIE-article-35278 |
| institution | Instituto de Investigación en Educación (INIE) |
| language | spa |
| publishDate | 2019 |
| publisher | Universidad de Costa Rica |
| record_format | ojs |
| spelling | INIE-RAIE-article-352782023-06-07T17:21:17Z Mathematical errors of students who enter to university Errores matemáticos de estudiantes que ingresan a la universidad Gamboa Araya, Ronny Castillo Sánchez, Mario Hidalgo Mora, Randall mathematical errors; university students; mathematics education; university education errores matemáticos; persona estudiante universitaria; enseñanza de las matemáticas; educación superior Many students, who enter the university, have mathematical errors that are shown during the process of construction of new content, and impact their academic performance in the discipline. Many authors have recognized the importance of the study and analysis of errors, as a means for learning and an input for improvement. This article presents the results obtained by analyzing the errors committed by first-year students in the mathematics diagnostic test at the National University, Costa Rica, in the year 2017. The research is qualitative, explanatory and descriptive. The test had 60 unique selection exercises. The students had to write down in the exam brochure all the procedures performed. A random sample of 100 tests was selected. For each item, a choice of tests was made where the students had performed some procedure and the errors were classified according to their origin: mathematical language, spatial information, incorrect inferences or associations, recovery of a previous scheme, incorrect or accidental calculations, and deficiencies in the construction or absence of prior knowledge. The students, in addition to presenting errors in the mentioned categories, presented errors in mathematical contents such as identification of the priority of operations, use of parentheses, concept of absolute value, operations with polynomials, notable formulas, and factorization, among others. The results show that the students present diverse errors and deficiencies in mathematics; therefore, it is necessary to propose strategies, at the university level, to correct this situation and ensure that students have the necessary bases to successfully face the courses of the discipline. Un alto porcentaje del alumnado que ingresa a la universidad posee errores matemáticos que se muestran durante el proceso de construcción de los nuevos contenidos y que impacta su rendimiento académico en la disciplina. En este artículo se presentan los resultados de un estudio orientado a analizar los errores que cometió el estudiantado de primer ingreso en la prueba de diagnóstico de matemática en la Universidad Nacional, Costa Rica, en el año 2017. La investigación es de tipo cualitativo, explicativo y descriptivo. La prueba constó de 60 ejercicios de selección única. Cada discente debía anotar en el folleto de examen todos los procedimientos realizados. Se seleccionó una muestra aleatoria de 100 pruebas. Para cada ítem, se hizo una elección de las pruebas donde el estudiantado había realizado algún procedimiento y los errores se clasificaron según su origen: lenguaje matemático, información espacial, inferencias o asociaciones incorrectas, recuperación de un esquema previo, cálculos incorrectos o accidentales, deficiencias en la construcción o ausencia de conocimientos previos. El estudiantado, además de presentar errores en las categorías mencionadas, presentó errores en contenidos matemáticos como identificación de la prioridad de las operaciones, uso de paréntesis, concepto de valor absoluto, operaciones con polinomios, fórmulas notables, leyes de potencias, factorización, entre otros. Los resultados muestran que el alumnado presentó diversos errores y deficiencias en matemática, por lo que surge la necesidad de plantear estrategias, a nivel universitario, para corregir esta situación y garantizar que cada discente posea las bases necesarias para enfrentarse con éxito a los cursos de la disciplina. Universidad de Costa Rica 2019-01-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Article application/pdf text/html https://revistas.ucr.ac.cr/index.php/aie/article/view/35278 10.15517/aie.v19i1.35278 Actualidades Investigativas en Educación; Vol. 19 No. 1: (Enero - Abril); 31 Actualidades Investigativas en Educación; Vol. 19 Núm. 1: (Enero - Abril); 31 Actualidades Investigativas en Educación; v. 19 n. 1: (Enero - Abril); 31 1409-4703 spa https://revistas.ucr.ac.cr/index.php/aie/article/view/35278/35937 https://revistas.ucr.ac.cr/index.php/aie/article/view/35278/38437 Derechos de autor 2018 Actualidades Investigativas en Educación http://creativecommons.org/licenses/by-nc-nd/4.0 |
| spellingShingle | mathematical errors; university students; mathematics education; university education errores matemáticos; persona estudiante universitaria; enseñanza de las matemáticas; educación superior Gamboa Araya, Ronny Castillo Sánchez, Mario Hidalgo Mora, Randall Errores matemáticos de estudiantes que ingresan a la universidad |
| title | Errores matemáticos de estudiantes que ingresan a la universidad |
| title_alt | Mathematical errors of students who enter to university |
| title_full | Errores matemáticos de estudiantes que ingresan a la universidad |
| title_fullStr | Errores matemáticos de estudiantes que ingresan a la universidad |
| title_full_unstemmed | Errores matemáticos de estudiantes que ingresan a la universidad |
| title_short | Errores matemáticos de estudiantes que ingresan a la universidad |
| title_sort | errores matematicos de estudiantes que ingresan a la universidad |
| topic | mathematical errors; university students; mathematics education; university education errores matemáticos; persona estudiante universitaria; enseñanza de las matemáticas; educación superior |
| topic_facet | mathematical errors; university students; mathematics education; university education errores matemáticos; persona estudiante universitaria; enseñanza de las matemáticas; educación superior |
| url | https://revistas.ucr.ac.cr/index.php/aie/article/view/35278 |
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