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Las estrategias metodológicas y funciones cuadráticas

 

Methodological strategies and quadratic functions<= /i>

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1

Evelyn Fernanda Endara Crespata

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htt= ps://orcid.org/0000-0003-1433-5779

 

 

Unidad Educativa “Cusubamba”. Ambato, Ecuador

eve.endara@hotmail.com

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Ricardo Xavier Proaño Alulema=

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https://orcid.org/0000-0003-0529-8195

 

 

Universidad Técnica de Ambato, Ambato, Ecuador

xavierproanio@uta.edu.ec<= /span>

3

ctor Peñafiel Gaibor                                             <= /span>https://orcid.org/0000-0003-3286-4797

Universidad Técnica de Ambato, Facul= tad de Ciencias de la Salud. Ambato, Ecuador

vi.penafiel@uta.edu.ec

 

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Artículo de Investigación Científica y Tecnológica

Enviado: 16/05/2022

Revisado: 26/06/2022

Aceptado: 21/07/2022

Publicado:31/08/2022

                              DOI: https://doi.org/10.33262/ap.v4i3.1.277=  

 

 

 =

Cítese: <= /o:p>

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Endara Crespata, E. F., roaño Alulema, R. X. ., & Peñafiel Gai= bor, V. . (2022). Las estrategias metodológicas y funciones cuadráticas. AlfaPublicaciones, 4(3.1), 516–532. https://do= i.org/10.33262/ap.v4i3.1.277

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ALFA PUBLICACIONES, es una Revista Multidisciplinar, Trimestral, que se publicar= á en soporte electrónico tiene como misión contribuir a la   formación de  profesionales competentes con visión humanística y crí= tica que sean capaces de  exponer  sus resultados  investigativ= os y científicos en la misma medida que se promueva mediante su intervención cambios positivos en  la sociedad. ht= tps://alfapublicaciones.com  

La revista es editada por la Editorial Ciencia Digital (Editorial de prestigio registrada en la Cámara Ecuatoriana de Li= bro con No de Afiliación 663) www.celibro.org.ec

 

 

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Esta revista está protegida bajo una licencia Creative Commons AttributionNonCommercialNoDerivatives 4.0 International. Copia de la licencia: http://creativecommons.org/licenses/by-nc-nd/4.0/<= /span>

 

Palabras claves:

Estrategias metodológi= cas, funciones cuadráticas, rendimiento académico, resolución de problemas, enseñanza-aprendizaje.

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Resumen

Esta investigación tiene el propósito en determinar la incidencia de las estrategias metodológicas en la enseñanza de las funciones cuadráticas para lo cual se realizó la comparación de dos estrategias utilizadas por = los docentes. La metodología empleada fue de enfoque cuantitativo al recopila= r la información y realizar su respectivo análisis con el apoyo de herramientas estadísticas. La modalidad empleada fue de campo al indagar en los segund= os años de bachillerato de la Unidad Educativa “Cusubamba” y documental al realizar una revisión bibliográfica en fuentes confiables como revistas, libros y repositorios que sean un sustento para el tema de estudio; el ni= vel de investigación fue de tipo explicativa que sirvió de ayuda para validar= la hipótesis planteada. Los resultados muestran que el grupo experimental con media de 6,06 logró mejores resultados en su aprovechamiento a diferencia= del grupo del control que obtuvo una media de 4,44, sin embargo, las calificaciones obtenidas reflejan que los estudiantes aún presentan dificultades en la terminología, métodos analíticos de resolución y diferenciación de las variables dependiente e independiente. En conclusió= n, el uso de estrategias metodológicas dota al estudiante de habilidades y el conocimiento de procesos de carácter lógico para la comprensión y posteri= or resolución adecuada de problemas relacionados a funciones cuadráticas.

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Keywords: Methodological strategies, quadrat= ic functions, students learning development, problem solving, teaching and learning process.

 

Abstract

The main purpose of this research work is to determine the methodological strategies incidence in the quadratic functions teaching process. Thus, a comparison among two strategies used by teachers was carried out. The quantitative paradigm was applied in this investigative work due to the f= act that it was necessary to compile information in order to make its corresponding   analysis   through   an   appropriate   statistics   tool.   Field   and   observation methodology was also app= lied because it was necessary to inquire in the BGU second year students at Un= idad Educativa “Cusubamba”. In addition to this, a documentary- bibliographic investigation was developed since it was essential to get information from reliable sources such as magazines, books and repositories which support = this investigation work. The descriptive point of view was taken into account = at the moment to develop this research work since it helped to validate the hypothesis stated. The results got from the investigation show that the students taken as the experimental group obtained   better results with an average of 6,= 06 compared from the control group which got 4,44 in the learning development.  Nevertheless, the g= rades obtained reveals that students continue with some difficulties in the terminology, analytical methods of solving mathematical problems, and als= o in dependent and independent variables differentiation. In conclusion, the u= se of the methodological strategies provides students some abilities and the knowledge about the logical sense of the process for comprehension and the second order equations problem solving related quadratic functions.<= /o:p>

 

 

 

 

 

Introducción

Nivel internacional

Según Azzolina et al. (2019), en su investigación la finalidad es dar a conocer los resultados obtenidos = al aplicar las estrategias tecnológicas para el conocimiento de la parábola, de manera que el estudiante se encuentre en la capacidad de relacionar los conocimientos matemáticos a los comandos proporcionados por el software GeoGebra a fin de brindar mejores oportunidades dentro del aprendizaje. El trabajo fue enfocado a 2 estudiantes del tercero de bachillerato de un colegio particular de la ciudad Rio Gallegos - Argentina, en base a experiencia, observación, a= la investigación de= campo y al análisis a posteriori fue factible obtener los datos de la implementación de esta estrategia.

Entre l= os = resultados cabe destacar que lo positi= vo para el estudiante fue la correcta articulación de la gráfica a su representación algebraica, entre las limitaciones el docente no distrib= u= ye correctamente el tiempo de explicación por lo cual se generan dudas en ciertos comandos. En conclusión, no sólo con el hecho de utilizar la estrategia tecnológica se podrá conseguir el nivel de comprensión que se desea en el estudiante, p= or lo contrario, dicha implementación debe ir acompañada por la asesoría y capacitación del docente, de igual manera, la corresponsabilidad del estudiante para buscar posibles alternativas de solución a lo planteado.

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De acuerdo con Paytan & Soto (2019), en su trabajo el objetivo es determinar la incidencia del programa Excel como herramienta didáctica para el aprendizaje de las funciones cuadráticas con ello se busca despertar el interés en el estudiante y mejorar su rendimiento académico. Para el desarrollo se utilizó la investigación de campo en conjunto con la de tipo empírica y documental, además, con la observación se logró identificar las dificultes   presentes =  en =  los   estudiantes, para recopilar la información relevante fue necesario la aplicación = de una encuesta tipo cuestionario (pre y post test) para conocer las condiciones del estudiante y el impacto que brinda la utilización del nuevo recurso. El grupo de trabajo estaba constituido por 30 estudiantes del tercer año de la institución educativa Manuel Gonzales Prada del distrito de Nuevo Occoro Perú.

Con la aplicación de Excel se tuvo resultados: que el 63,6% de los estudiantes obtuvieron un nivel de logro destacado, mientras el 9,1% obtuvieron el nivel de logro previsto y que solamente un 27,3% de estudiantes obtuvieron calificaciones deficientes(p.104).  Se concluye que con la ayuda de Excel los estudiantes lograron determinar el tipo de concavidad de la función, así también   determinar   los   valores =  ximos   o mínimos y hallar sus raíces alcanzado un aprendizaje significativo en el estudiante.<= /p>

Como expresa Ayil (2018), en su propuesta el entorno   virtual   de   aprendizaje tiene   como finalidad crear un aplicativo mediante la plataforma Moodle que promueva el aprendiz= aje de las matemáticas mediante una estrategia innovadora y didáctica. Utilizada para el proceso retroalimentación de contenidos, además, complementar actividades y ejercicios matemáticos la misma fue diseñada para estudiantes del nivel secundaria del estado de Yucatán, se utilizó la investigación exploratoria para analizar los contenidos de una forma sencilla y eficiente.

Se concluye que la plataforma Moodle permite crear y gestionar espacios de enseñanza y aprendizaje basados en internet al ser una plataforma de código abierto y acceso libre, la propuesta planteada en el artículo dotará de una nueva herramienta al proceso pedagó= gico para conseguir una mejora en la calidad educativa motivo por el cual es necesario realizar su implementación en centros educativos para promover el tra= bajo entre docentes y estudiantes.

Según Gutiérrez & Gutiérrez (2018), en su trabajo las estrategias metodológicas de enseñanza y aprendizaje con un enfoque lúdico, su propósito es compartir una serie de estrategias creativas utilizadas por los docentes en todos los niveles educativos desde la primaria hasta la universidad. La investigación se la realizó en el Estado = de México con un grupo de 1200 estudiantes y 420 docentes mediante la recopilación de información en =  forma   empírica   a   varios   docentes; esta propuesta se ba en aplicar varias estrategias con enfoque lúdico, creativo e interactivo.

De acuerdo al t= rabajo realizado por los autores el resultado arroja que existen un grupo pequeño = de docentes que presentan una cierta resistencia a la transformación de la práctica educativa, por otra parte, =  en =  su   mayoría   están   dispuestos   a   la aplicación de técnicas nuevas e innovadoras que se adapten a la necesidad y realidad del estudiante fortaleciendo sus habilidades, destrezas y alcanzando el aprendizaje significativo, existiendo el compromiso por parte del docente al mejorar su desempeño dentro del salón de clases logrando motivar al estudiante a la adquisición del nuevo conocimiento.

De acuerdo con Recio (2018), plantea utilizar las funciones cuadráticas para modelar el lanzamiento de una pelota, para favorecer el aprendizaje de l= as matemáticas asociado a situaciones reales. Para el desarrollo del trabajo fue indispensable el apoyo de la investigación tipo documental, de = campo y científica; se empleó la modelación matemática basada en mínimos cuadrados cálculo descrito por Gauss dicho método requiere como mínimo tres observaciones para eliminar errores entre los valores reales y los valores estimados. En consecuencia, en el trabajo realizado se afirma su factibilidad en la utilización de las funciones cuadráticas en el ámbito del deporte y cultura física resaltando su aporte a la ciencia y a la sociedad, de tal manera=    que   el   estudiante construya sus conocimientos matemáticos.

Como señalan Delgado & Ardilla (2015), en su estudio Facebook como herramienta educativa en un programa de tutorías académicas de lculo difere= ncial, su finalidad es desarrollar una alternativa de acompañamiento pedagó= gico a los estudiantes mediante el trabajo colaborativo y la ayuda  <= /span>de  Facebook  al  ser  la  red  social  más utilizada por la mayoría de jóvenes, constit= uye un recurso educativo innovador por medio de publicaciones como: páginas de blogs, videos tutoriales, imágenes y documentos que aclaren las inquietudes que surj<= span style=3D'letter-spacing:-.05pt'>an en el estudiante durante el proceso de aprendizaje. Este artículo se sustenta en base a la experiencia de 9 estudiantes y 1 docente del programa de tutorías de primer nivel de la Universidad Industrial de Santander, de acuerdo a los autores se concluye que Facebook puede ser utilizado como un recurso didáctico en el proceso de enseñanza al fomentar la comunicación, = el razonamiento y la argumentación dentro de la adquisición de nuevo aprendizaje, por otro lado, con la participación activa de cada uno de los miembros del = grupo = se = potencializará la actitud de colaboración y respeto hacia los demás.

Citando a Díaz et al. (2015), en su investigación buscan identificar los logros y dificultades de los estudiantes en la articulación de los sistemas algebraico y gráfico de las funciones lineales y cuadráticas. Para lo cual se aplicó un cuestionario a 109 estudiantes del primer año de las carreras de ingeniería de la Facultad de Ingeniería y Ciencias = Hídricas de la Universidad Nacional del Litoral Argentina, dicha evaluación estaba   conformada   con   12   ejercicios   con   l= a temática relacionada = a:  intervalos, rectas, parábolas y regiones con el apoyo del enfoque descriptivo y exploratorio.

Se pudo<= span style=3D'letter-spacing:.05pt'> conocer los resultados de la aplicación del instrumento de evaluación entre los logros obtenidos   = el   70%   de   estudiantes   alcanzaron a asociar la ecuación de la función cuadrática con su gráfica, por otra parte, apenas el 30% consiguieron identificar   qu= e   la   = concavidad   de   la   función depende del = parámetro a. En conclusión, la dificultad que se observaron en función lineal son el concepto de pendiente y ordenada al = origen; en cuanto a función cuadrática fue la relación entre el coeficiente del rmino lineal con la posición del eje de la parábola (p.369).

Desde la posición de González (2015), su intención es identificar las dificultades que se presentan en el proceso de enseñanza aprendizaje de las funciones matemáticas y su= gerir posibles recursos que sean de = ayuda para la asimilación de contenidos de una forma más cil. Se utilizó una investigación de campo a 37 estudiantes perteneciente a dos grupos del primero de bachillerato de IES Santa Clara de la ciudad de Santander España, para recopilar la información se aplicó la encuesta tipo cuestionario al grupo que no tenían conocimiento sobre funciones, por su parte el grupo B si conocía el tema, esto permitió contrarrestar los resultados de ambos grupos.

Teniendo en cuenta los resultados obtenidos se detallan dificultades en las funciones como la falta de entendimiento en la terminología, dificultad en la   correcta   relación   del   lenguaje   v<= /span>erbal =  y algebraico, diferenciación entre la variable dependiente  y  la  variable  independiente  y confusión en su representación gráfica, con base= a lo anterior es necesario la adaptación de los ejercicios matemáticos a situaciones de la vida real y el uso de las TIC apoyado por el software educativo GeoGebra. Por lo consiguiente al no tener claros conceptos básicos no se podrá asimilar de forma correcta el conocimiento, peor aún identificar su aplicabilidad en ejemplos de la vida real.

Desde el punto de vista de= Barrietos & Mo= gollón (2013), en el estudio de las estrategias interactivas proponen el uso de las T= IC como recurso para la enseñanza de las matemáticas mediante el uso de aulas virtuales. La metodología de investigación que se utilizó fue la no experimental y de campo, apoyada con dos instrumentos para recopilar información la encuesta tipo cuestionario para docentes en aspectos de planificación académica, estrategias pre-nstruccionales, estrate= gias co- instruccionales  y estrategias  post-instruccionales, a también la de tipo escala de Likert para estudiantes donde se analiza los recursos interactivos y las TIC, el grupo de trabajo fue conformado por 169 estudiantes y 3 docentes de educación media del Liceo Nacional Hermana Luisa Rosa Sandoval del Castillo de la ciudad = de Maracaibo.

El resultado del estudio fue la falta de utilización de los recursos digitales a también la escaza aplicación de estrategias interactivas antes, durante y después del proceso de aprendizaje. Es a que los docentes no emplean recursos digitales como videos, juegos incluso el uso del internet para complementar o apoyar el proceso de enseñanza aprendizaje, además, omiten actividades de motivación que permitan alcanzar un mejor estímulo y atención en el estudiante, por tal razón, es de vital importancia la implementación de una herramienta teórica-practica que impulsen las habilidades co= gnitivas y metaco= gnitivas en la matemática.

Con base en Alfonzo (2012), su investigación tiene como el objetivo utilizar una estrategia didáctica mediante el uso de un computador durante el proceso de enseñanza aprendizaje de las funciones lineales y cuadráticas. Para la ejecución de este estudio se apoyó de las investigaciones: documental y descriptiva para determinar el aporte de la estrategia empleada dentro del salón de clase.

La propuesta de ba en la utilización de softwares matemáticos como: Derive, Calculus o Maple para ser empleados en la gráfica de funciones con la debida asesoría y acompañamiento del docente. Se concluye que la práctica docente apoyada por recursos didácticos genera aspectos positivos en = el estudiante como la comprensión en la terminología de funciones, estimula la creatividad permitiendo vincular sus conocimientos a otras áreas. Finalmente, al emplear este tipo de estrate= gias es posible ahorrar tiempo al realizar las gráficas y ofrecer precisión en los cálculos.

Teniendo en cuenta a González (2012), en el estudio del conocimiento y uso de estrategias metodológicas apoyadas en las TIC, tiene como propósito identificar los beneficios que genera el uso de las TIC como nueva metodología en el proceso = de enseñanza aprendizaje al ser un medio de difusión= masiva utilizada en el ámbito social, educativo y ciencia. Se utilizó una muestra de 172 estudiantes de primer a q= uinto año de primaria= y 5 docentes del Colegio Sagrado Corazón de Jesús Hermanas Bethlemitas de la ciudad de Bucaramanga, apoyada con la investigación de campo mediante enfoque cuantitativo, para la recolección = de información fue necesario la aplicación de encuestas.

El estudio concluye que los estudiantes presenten un dominio en el uso de las T= IC empleadas para la búsqueda de información generando un alto nivel de motivación en el aprendizaje de la matemática, a   también,   permite   establecer   una   relación directa entre docente y estudiantes con el uso de foros, chat y correos electrónicos = para solventar dudas  referentes  a  la  asignatura,  finalmente  se debe reconocer el aporte significativo que brindan las TIC por lo cual es necesario capacitar docente y a estudiantes para aprovechar de mejor manera los recursos que ofrecen las TIC.

Según Pérez & Ramírez (2011), en la investigación de las estr= ategias de enseñanza de la resolución   de  <= /span> problemas matemáticos, tienen como finalidad brindar un aporte en la formación y actualización a docentes de educación primaria = en la resolución de problemas matemáticos al ser una metodología utilizada en la mayoría de las asignaturas. Para el desarrollo de este trabajo se realizó   una   revisión   documental   apoyada   e= n fuentes bibliográficas y hemerográficos con dicha información se realizó un análisis cualitativo para identificar los aportes de varios autores en el tema planteado.

Se concluye que la resolución de problemas es la base de las matemáticas, por tal manera, es necesario que el docente conozca sus etapas, características y taxonomía lo que facilita crear un ambiente creativo, original y variado dotando de nuevas estrategias a los docentes = permitiendo dejar a un lado los ejercicios rutinarios que dificulten el aprendizaje.

Como expresan Pérez & = Vega (2010), la finali= dad de su trabajo consiste en vincular contenidos matemáticos a femenos de la naturaleza con el objetivo de analizarlos y poder predecir su comportamiento con el uso de las funciones cuadráticas. Para lo cu= al el docente convierte el lenguaje algebraico a situaciones de la vida cotidiana donde el estudiante esté en la capacidad de resolver = problemas relacionados a Física un ejemplo claro es el lanzamiento de un pr= oyectil o pelota. Esta propuesta está dirigida a estudiantes de los últimos años de secundaria mediante su ejecución se cree un ambiente dinámico e interactivo en el proceso de enseñanza aprendizaje, logrando   un   mejor   desempeño   por   parte   d= el docente con la aplicación de nuevas estrategias.

Teniendo en cuenta a Quesada & Ulate (2006), en su investigación proponen la implementación de un sitio Web integrando por imágenes, animaciones y sonidos para la enseñanza de l= as funciones cuadráticas, con= el fin de dotar al docente y al estudiante de una herramienta dinámica que permita fortalecer el proceso de enseñanza aprendizaje. La revisión documental y la experiencia otorgó la información necesaria<= /span> para la ejecución de la propuesta; esto fue dirigido a un grupo estudiantes de la Universidad Nacional de Costa Rica.<= /span>

En el análisis se utilizó el enfoque constructivista y conductista para la revisión de contenido= s teóricos como conceptos y definiciones del mismo modo en la verificación al utilizar gráficas dinámicas. = Para determinar el grado de aceptación y utilidad de la herramienta se aplicó un cuestionario a 5 estudiantes, quienes consideran que e<= span style=3D'letter-spacing:.1pt'>xiste motivación por aprender, construcción del conocimiento y afirman que el lenguaje empleado es claro y facilita la comprensión en los contenidos. En definitiva, el sitio Web constituye un recurso de apoyo al docente brindando la oportunidad de generar una retroalimentación de contenidos de forma dinámica.

Nivel nacional

De acuerdo con Calderón et al. (2018), el propósito de su trabajo es identificar los logros de aprendizaje en funciones lineales y cuadráticas mediante la utilización del software GeoGebra y a guiar la adquisición de conocimientos mediante actividades didácticas vinculadas al uso de las TIC relacionadas a concepto, representación gráfica y algebraica de las   funciones   lineales   y   cuadráticas.   Para   el sustento del trabajo se utilizó las investigaciones: documental y cuasi ex= perimental con la finalidad de tener una base teórica para poder contrarrestar los resultados obtenidos, se empleó encuestas tipo cuestionario (pre y post test) las mismas que fueron aplicadas a dos grupos de estudio (experimental y de control), la muestra utilizada fueron 55 estudiantes del tercero año de bachillerato de la Unidad Educativa Hermano Miguel” de la ciudad de Machala.

Los resultados arrojan que ambos grupos en las pruebas de diagnóstico no alcanzan los aprendizajes, mientras = que en la evaluación final apenas dos estudiantes alcanzaron los aprendizajes los motivos pueden ser dificultades en el aprendizaje o la metodología utilizada por el docente. Se concluye que, es necesario la implementación de recursos didácticos que ayuden a desarrollar las destrezas en los estudiantes así también brindar una capacitación sobre el uso de GeoGebra que facilite su aplicabilidad ante los ejercicios propuestos.

Teniendo en cuenta a Heredia (2017), en su propuesta el ABP como estrategia metodológica para la en= señanza de las funciones lineales y cuadráticas, su objetivo es aplicar talleres pedagó= gicos que contribuyan al pensamiento lógico, crítico y creati= vo de los estudiantes. La investigación fue de tipo descriptiva y de campo con la utilización de dos evaluaciones una diagnóstica (pre -= test) y una sumativa (post - test) para identificar si existe resultados favorables con la nueva metodología, se aplicó a un grupo de 55 estudiantes y 10 docentes de un colegio fiscal de la ciudad de Guayaquil.

Entre los resultados obtenidos la mayoría de las docentes manifiestan que no han recibido ninguna capacitación acorde la metodología ABP que permita mejorar su desempeño docente, por otra parte, los estudiantes dan a conocer que no aplican ningún = procedimiento para la resolución de ejercicios.  Se concluye rendimiento académico con la utilización de la metodología supe a la metodología tradicional, la aplicación de ejercicios de funciones lineales y cuadráticas vinculados a la cotidianidad facilitan la resolución = de problemas fortaleciendo el trabajo cooperativo y brindando = al docente el rol de mediador y motivador en la adquisición de conocimientos por parte de los estudiantes.

Como expresa Medina (2017), en su estudio estrategias metodológicas para el desarrollo del pensamiento gico-matemático, para dotar a los estudiantes de sexto año de educación básica de nuevas herramientas para fortalecer su razonamiento gico con la ayuda de actividades didácticas y lúdicas que permitan comprender conceptos abstractos, razonamiento y comprensión de relaciones de esta manera alcanzar el aprendizaje significativo para toda su vida. La investigación concluye que los estudiantes aprueban   la   asignatura  <= /span> de   matemáticas   por obligación al no tener motivación por la escaza aplicación de nuevas estrate= gias a esto se suma la poca participación del estudiante en la construcción = del conocimiento generando dificultades en el aprendizaje.

Según Puga= & Jaramillo (2015), en su investigación metodología activa en la construcción del conocimiento matemático, su objetivo es desarrollar una propuesta metodológica alternativa que contribuya a la construcción del conocimiento matemático a través de la resolución de problemas y del aprendizaje colaborati= vo mediante la narración de una historia o cuento adaptado a las matemáticas. La información recabada en la investigación corresponde a la experiencia dentro de la labor docente = de varios autores; se concluye que la metodología activa permite desarrollar la inteligencia, comprensión y creatividad por consig= uiente el estudiante será capaz de darle significado al lenguaje matemático en situaciones cotidianas y reales.

Nivel local=

De acuerdo con Martínez (2018), en su trabajo las estrategias metodológicas y el aprendizaje significativo de la matemática en los estudiantes del quinto año = de educación general básica de la unidad   educativa   Rumiñahui, el objetivo es analizar la incidencia de las estrate= gias metodológicas en el aprendizaje significativo de la matemática, para lo cual el estudiante construye = su conocimiento a partir de experiencias o de lo que ya conoce. La muestra de estudio fueron 53 estudiantes del quinto año de educación general básica y 2 docentes. Las cnicas utilizadas para la recopilación = de datos fueron la encuesta y la entrevista   las  =  cuales   ayudaron   a procesar y sustentar la información, en cuanto al tipo de investigación se aplicó el nivel exploratorio y descriptivo. Las conclusiones del trabajo afirman que las estrategias metodológicas permiten mejorar el nivel de atención, comprensión y estimular habilidades en los estudiantes así también con el aprendizaje significativo se podrá afianzar los nuevos conocimientos y vincularlos a la matemática logrando= potencializar sus capacidades co= gnitivas.

Según Paredes (2017), en su investigación estudio de las estrate= gias metodológicas utilizadas para la enseñanza  = de   la   matemática   en   la   Unidad Educativa Pedro Fermín Cevallos del cantón Cevallos, con el fin de analizar la incidencia de las estrategias metodológicas utilizadas en el proceso de enseñanza aprendizaje de las matemáticas en = 60 estudiantes de décimo año de educación general básica y 13 docentes. Esta investigación se ba en el nivel exploratorio con la ayuda de encuestas para recabar la información, además el nivel descriptivo permitió sustentar el beneficio de la aplicación de las nuevas estrategias metodológicas en la adquisición del nuevo conocimiento.

De acuerdo con la información recopilada de la investigación se concluye que si el docente no emplea una nueva metodología se crea dificultades en el razonamiento lógico y en la toma de decisiones. La falta de recursos innovadores crea desmotivación en el aprendiz= aje de las matemáticas por ende un bajo rendimiento académico y finalmente la escasa resolución de ejercicios dificulta la creatividad y la solución = de problemas en diferentes ámbitos.

En base a los artículos leídos anteriormente se puede   determinar   qu= e   la   = estrategia   didáctica basada en el uso de las = TIC es la más utilizada en los últimos tiempos de acuerdo a los avances tecnológicos y la versatilidad de los mismos, permitiendo realizar actividades didácticas, lúdicas e interactivas con otras personas que promuevan el trabajo colaborativo para un fin común; con el uso de recursos digitales como videos, redes sociales y softwares educativos se contribuyen cada vez en la mejora de la práctica docente. Razón por la cual se plantea   la   implementación   de   este   tipo  <= /span> de estrategia (Ministerio de Educación [MINEDUC]., 2020)= , para el ámbito educativo. Así mismo su implementación dentro del aprendizaje de funciones cuadráticas las TIC constituyen un complemento para determinar su gráfica y características en menor tiempo posible facilitando un mejor entendimiento por parte del estudiante.<= /p>

Objetivo. - Determinar la incidencia de la metodología basada = en el uso de las TIC en la enseñanza de las funciones cuadráticas para evaluar= el rendimiento académico de los estudiantes.

Metodología

El trabajo de investigación se realizó en la Unidad Educativa Cusubamba”, localizada en la parroquia del mismo nombre, cantón Salcedo, provincia de Cotopaxi pertenece al distrito educativo 05D06; la oferta educativa de la institución es en Bachillerato en Ciencias y Bachillerato Técnico especialidad en Mecanizado y Construcciones Metálicas. El sector está ubicado en la zona rural la mayoría de su población son indígenas = dedicados a las actividades agrícolas y a la ganadería (Cusubamba, 2020); poseen una baja condición económica, = no cuentan con acceso a internet, escaso transporte público dichos factores provocan en ciertos estudiantes desinterés en su formación académica y en algunos casos deserción definitiva.<= /span>

Para el desarrollo de esta investigación la metodología empleada fue la comparación de resultados entre dos grupos como: el experimental y el de control. En el primer caso los estudiantes realizaron las prueb= as y test con la = ayuda de las TIC, mientras, que el segundo grupo se sometió a evaluaciones sin la ayuda de las TIC. Por otra parte, los equipos utilizados fueron: computador y celular, herramientas virtuales como el internet, Google Drive, Symbolab y WhatsApp, además programas informáticos como Microsoft Word, Excel y R Studio.

También para el = desarrollo de este proyecto = se aplicó el enfoque cuantitativo mediante lculos estadísticos, con lo cual, se pudo representar la información recopilada producto de las pruebas hechas a los estudiantes de la Unidad Educativa Cusubamba. Así, los datos fueron repre= sentados en tablas y gráficos para su posterior análisis e interpretación. Las investigaciones que fueron utilizadas para la investigación se detallan a continuación:

Se hizo una investigación documental y se realizó una revisión de los artículos relacionados al tema de estudio para lo cual de acudió a repositos y revistas científicas, además este tipo de investigación fue utilizada para la elaboración del estado del arte como menciona Bernal (2010), se caracterizan por abordar problemas de cacter teórico y empírico y que son relevantes en el tema objeto de estudio” (p.112).

Asimismo, se empleó una investigación exploratoria ya que se analizó los diferentes tipos estrategias que han sido utilizadas dentro de la labor do= cente, es decir, este tipo de investigación según = Hernández et al. (2014), sirven para pre= parar el terreno y, por lo común, anteceden a investigaciones con alcances descriptivos y explicativos” (p.90).

Por últi= mo, se realizó una investigación explicativa lo que permitió conocer los resultados al aplicar la metodología tradicional y la metodología apoyada en el uso de las T= IC a= un grupo de= control y uno experimental respectivamente, de tal manera determinar cuál metodología es más recomendable en el proceso de enseñanza aprendizaje de las funciones  cuadráticas,  además  facilita  la posibilidad de aceptar o rechazar hipótesis nula de acuerdo al valor de las medias de las muestras analizadas y obtener las conclusiones del estudio realizado.

Resultados y Discusión

Una vez terminado el proyecto de investigación hemos llegado a los siguientes resultados según l= as evaluaciones a los estudiantes del segundo año de bachillerato de la Unidad EducativaCusubamba.

Los resultados muestran que el grupo experimental con media de 6,06 log mejores resultados en su aprovechamiento a diferencia del grupo del contr= ol que obtuvo una media de 4,44. = Sin embargo, las calificaciones obtenidas reflejan que los estudiantes aún presentan dificultades en la terminología, métodos analíticos de resolución y difere= nciación de las variables = dependiente e independiente.

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 =

 =

Tabla 1

Resultados de metodologías empleadas en el proceso de enseñanza aprendizaje de las funciones cuadráticas

Número de pregunta

Grupo de Control (Frecuencia)

Grupo Experimental (Frecuencia)

Po= rcentaje

(%)

1

12

16

66,7 y 88.9

2

4

4

22.22 y 22.22

3

8

9

44.44 y 50.00

4

8

11

44.44 y 61.11

5

11

13

61.1 y 72.20

6

5

10

27.8 y 55.60

7

8

8

44.40 y 44.40

8

6

11

33.30 y 61.10

9

12

13

66.70 y 72.20

10

9

14

50.00 y 77.80

Total

83

109

-

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Por otro lado, la comparación de las medias obtenidas del grupo de control y el grupo experimental refleja que la metodología mediante el uso de las TIC supe a la tradicional.

El valor calculado de Z =3D 2,62 es mayor al valor crítico de Z=3D1,645 de una cola, por lo consiguiente se rechaza la hipótesis nula y se acepta la hipótesis alterna.

Conclusiones

Después = de haber realizado la investigación se puede concluir que:

·&nb= sp;        A tra= vés del cálculo del = P-value se afirma que las estrategias metodológicas influyen en el aprendizaje de las funciones cuadráticas.

·&nb= sp;        Las estrate= gias metodológicas acompañadas con el uso de la tecnología dotan al estudiante de nuevas habilidades y destrezas, además, del conocimiento adquirido para la comprensión y posterior resolución adecuada de problemas relacionados a funciones cuadráticas.

·&nb= sp;        La metodología tradicional es el punto de partida para la implementación de nuevos métodos y técnicas de enseñanza.

·&nb= sp;        El uso= de las TIC constit= uye un recurso innovador durante el proceso de enseñanza-aprendizaje el cual debe contar con la guía y acompañamiento del docente.

·&nb= sp;        La implementación de la metodología basada en el uso de las TIC mejora el dominio de las destrezas matemáticas en los estudiantes.

·&nb= sp;        Las dificultades que surgen en los estudiantes referente a funciones cuadráticas se deben también a la falta de dominio en la terminología y lculos analíticos.

Referencias Bibliográficas

Alfonzo, Z. (22 de 03 de 2012). Didáctica de las funciones lineales y cuadráticas asistida con computadora.      Dialnet: https://dialnet.unirioja.es/servlet/articulo?codigo=3D4230477

Ayil, J= . (19 de 05 de 2018). Entorno virtual de aprendizaje: una herramienta de apoyo pa= ra la enseñanza de las matemáticas. Dialnet: https://dialnet.unirioja.es/servl= et/articulo?codigo=3D7107366

Azzolin= a, Y., Saldivia, F., & Maglione, D. (22 de 08 de 2019). Un posible abordaje pa= ra enseñar función cuadrática en un ambiente tecnológico. Dialnet: https://dialnet.unirioja.es/servlet/articulo?codigo=3D7

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Bernal,= C. (2010). Metodología de la investigación. Colombia: Pearson.

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Gonzále= z, P. (2015). Dificultades en el aprendizaje de las funciones matemáticas. UCreahttps://repositorio.unican.es/xmlui/bitstream/:handle/10902/6893/Gonz%= c3%a1lezBuronPaula.pdf?sequence=3D1&isAllo wed=3Dy

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Pérez, = Y., & Ramírez, R. (2011). Estrategias de enseñanza    de    la    resolución    de    problemas matemáticos.  Fundamentos teóricos y metodológicos. Redalyc.Org: https://www.reda= lyc.org/pdf/3761/376140388008. pdf

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El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento = de la Revista Ciencia Digital.


 

El artí= culo queda en propiedad de la revista y, por tanto, su publicación parcial y/o t= otal en otro medio tiene que ser autorizado por el director de la Revista Ciencia Digital.

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ISSN: 2773-7330

Vol. 4 No. 3.1  pp. 516 = – 532. agosto 2022

www= .alfapublicaciones.com

 

 

 

                                      Científico e Industrial             Página 516 | 1

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