Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students
This research aimed to analyze the evolution of the algebraic error in the evaluation processes of mathematics and physics in engineering students, of the Universidad de Pamplona, Villa del Rosario, Colombia. Theoretically, it was based on a typology of errors. The methodology was descriptive quanti...
- Autores:
-
Paz Montes, Luisa Stella
HERNANDEZ SUAREZ, CESAR AUGUSTO
Paz Montes, Luisa Stella
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Universidad Francisco de Paula Santander
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.ufps.edu.co:ufps/367
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/367
https://doi.org/10.1088/1742-6596/1645/1/012016
- Palabra clave:
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by/4.0/
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Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
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Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
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Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
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Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
| title_full |
Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
| title_fullStr |
Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
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Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
| title_sort |
Evolution of the algebraic error in the evaluation processes mathematics and physics in engineering students |
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Paz Montes, Luisa Stella HERNANDEZ SUAREZ, CESAR AUGUSTO Paz Montes, Luisa Stella |
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Paz Montes, Luisa Stella HERNANDEZ SUAREZ, CESAR AUGUSTO Paz Montes, Luisa Stella |
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Journal of Physics: Conference Series |
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This research aimed to analyze the evolution of the algebraic error in the evaluation processes of mathematics and physics in engineering students, of the Universidad de Pamplona, Villa del Rosario, Colombia. Theoretically, it was based on a typology of errors. The methodology was descriptive quantitative study. The sample consisted of 77 students from engineering programs. The instruments were a Likert scale and a test of knowledge in mathematics and physics involving algebraic arithmetic operations. The results show that 9 errors were replicated in the students of the three subjects evaluated. The most frequent errors were errors when performing algebraic arithmetic operations followed by incorrect own procedures and invalid inferences and errors in the additive resolution of the potency of an unfinished binomial and procedure. In conclusion, it can be said that the same errors appear in the three subjects although it is believed that with the passing of the semesters and the training of the students they should disappear when they finish their academic program. |
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2020 |
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2020 |
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2021-10-21T01:12:50Z |
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2021-10-21T01:12:50Z |
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https://doi.org/10.1088/1742-6596/1645/1/012016 |
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eng |
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eng |
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Journal of Physics: Conference Series,Vol. 1645. No.(2020) |
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Vol. 1645. No. (2020) |
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7 |
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(2020) |
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7 Páginas |
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Journal of Physics: Conference Series |
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Paz Montes, Luisa Stella0e3478b349a3546b22afc7ddef1720a2600HERNANDEZ SUAREZ, CESAR AUGUSTOe68aa9e1677f4d5e4b155d813077e750600Paz Montes, Luisa Stella0e3478b349a3546b22afc7ddef1720a2600Journal of Physics: Conference Series2021-10-21T01:12:50Z2021-10-21T01:12:50Z2020http://repositorio.ufps.edu.co/handle/ufps/367https://doi.org/10.1088/1742-6596/1645/1/012016This research aimed to analyze the evolution of the algebraic error in the evaluation processes of mathematics and physics in engineering students, of the Universidad de Pamplona, Villa del Rosario, Colombia. Theoretically, it was based on a typology of errors. The methodology was descriptive quantitative study. The sample consisted of 77 students from engineering programs. The instruments were a Likert scale and a test of knowledge in mathematics and physics involving algebraic arithmetic operations. The results show that 9 errors were replicated in the students of the three subjects evaluated. The most frequent errors were errors when performing algebraic arithmetic operations followed by incorrect own procedures and invalid inferences and errors in the additive resolution of the potency of an unfinished binomial and procedure. In conclusion, it can be said that the same errors appear in the three subjects although it is believed that with the passing of the semesters and the training of the students they should disappear when they finish their academic program.7 Páginasapplication/pdfengJournal of Physics: Conference SeriesJournal of Physics: Conference Series,Vol. 1645. No.(2020)Vol. 1645. No. (2020)7(2020)11645Journal of Physics: Conference SeriesEsta obra está bajo una Licencia Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/1645/1/012016/metaEvolution of the algebraic error in the evaluation processes mathematics and physics in engineering studentsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Hernández C, Prada R, Gamboa A 2017 Conocimiento y uso del lenguaje matemático en la formación inicial de docentes en matemáticas Revista de Investigación Desarrollo e Innovación 7 287-299Godino J D, Font V 2003 Razonamiento Algebraico y su Didáctica para Maestros (Granada: Universidad de Granada)Moreno P, Moreno J 2019 Dimensiones de la práctica evaluativa en la educación superior Colombiana Cienciamatria 5 98-124Salinas B, Cotillas C 2007 La Evaluación de los Estudiantes en la Educación Superior (Valencia: Universitat de València)Bujan K, Rekalde I, Aramendi P 2011 La Evaluación de Competencias en la Educación Superior (Bogotá: Ediciones de la U)Allen D 2004 La Evaluación del Aprendizaje de los Estudiantes: Una Herramienta para el Desarrollo Profesional (Buenos Aires: Paidós)Castillo S, Cabrerizo J 2010 Evaluación Educativa de Aprendizajes y Competencias (Madrid: Pearson Education)Velásquez S, Celis J, Hernández C 2017 Evaluación contextualizada como estrategia docente para potenciar el desarrollo de competencias matemáticas en Pruebas Saber Ecomatematico 8 33-37Guerrero J, Castillo E, Chamorro H, Izasa G 2013 El error como oportunidad de aprendizaje desde la diversidad en las prácticas evaluativas Plumilla Educativa 12 361-381Del Puerto S, Minnaard C, Seminara S 2004 Análisis de los errores: una valiosa fuente de información acerca del aprendizaje de las Matemáticas Revista Iberoamericana de Educación 38 1-13Socas M, Palarea M 1997 Las fuentes de significado, los sistemas de representación y errores en el álgebra escolar Uno: Revista de Didáctica de las Matemáticas 14 7-24Sanmartí N 2007 10 Ideas Clave: Evaluar para Aprender (Barcelona: Editorial GRAÓ)García J 2010 Análisis de Errores y Dificultades en la Resolución de Tareas Algebraicas por Alumnos de Primer Ingreso en Nivel Licenciatura (Granada: Universidad de Granada)Davis R B 1984 Learning Mathematics: The Cognitive Science Approach to Mathematics Education (New Jersey: Ablex Publishing Corporation)Radatz H 1979 Error analysis in mathematics education Journal for Research in Mathematics Education 10 163-172Radatz H 1980 Student ́s errors in the mathematics learning process: A survey For the Learning of Mathematics 1(1) 16-20Movshovitz-Hadar N, Zaslavsky O, Inbar S 1987 An empirical classification model for errors in high school mathematics Journal for Research in Mathematics Education 18 3-14Esteley C, Villarreal M 1996 Análisis y categorización de Errores en Matemática Revista de Educación Matemática 11(1) 16-35Rico L 1995 Errores y dificultades en el aprendizaje de las matemáticas Educación Matemática. Errores y Dificultades de los Estudiantes. Resolución de Problemas. Evaluación. Historia ed Kilpatrick J, Rico L, Gómez P (Bogotá: Universidad de los Andes) pp 69-108Socas M 1997 Dificultades, obstáculos y errores en el aprendizaje de las matemáticas en la educación secundaria La Educación Matemática en la Enseñanza Eecundaria ed Rico L (Barcelona: Horsori Editorial) pp 125-154Astolfi J P 1999 El “Error”, un Medio para Enseñar (Sevilla: Díada Editora)Diaz A, Hernández C A, Paz L E 2019 Errors and difficulties in solving algebraic procedures in secondary school students Journal of Physics: Conference Series 1408 012010:1-7Carrera B, Mazzarella C 2001 Vygotsky: enfoque sociocultural Educere 5 41-44García M 2012 Representaciones Sociales Sobre la Sexualidad en Estudiantes de Formación Docente del Instituto Pedagógico Gervasio Rubio (Rubio: Universidad Pedagógica Experimental Libertador)Castorina J A 2003 Representaciones Sociales: Problemas Teóricos y Conocimientos Infantiles (Barcelona: Gedisa)Novak J D, Gowin D B 1988 Aprendiendo a Aprender (Barcelona: Ediciones Martínez Roca)Porlán R, Martin A 2000 El Diario del Profesor: Un Recurso para la Investigación en el Aula (Sevilla: Diada Editora)Ausubel D, Novak J, Hanesian H 1978 Educational Psychology: A Cognitive View (New York: Holt, Rinehart and Winston)Hernández R 2016 Errores matemáticos en el conocimiento procedimental al resolver problemas de superficies cuadráticas Revista Logos, Ciencia & Tecnología 8 67-76Esquinas A M 2009 Dificultades de Aprendizaje del Lenguaje Algebraico: Del símbolo a la Formalización Algebraica: Aplicación a la Práctica Docente (Madrid: Universidad Complutense de Madrid)Serres Y 2011 Iniciación del aprendizaje del álgebra y sus consecuencias para la enseñanza Sapiens Revista Universitaria de Investigación 12 122-142Cardoso E, Hernández A, Cerecedo T 2007 La didáctica de las matemáticas en el gobierno de Vicente Fox Quesada La Educación Básica en México Después de la Alternancia ed Martinez Nolasco M (México: Plaza y Valdés Editores) pp 151-174ORIGINALEvolution of 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GA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