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Bajo rendimiento en las matematicas “Ser Bachiller” canton Duran 2020=

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Low performance in mathematics “Ser Bachiller” canton Duran 2020

 


1

Bolívar Vicente Lozano Torres=

 

 

Estudiante de la Maestría con trayectoria de Investigación en Estadística, mención en=

Estadística Aplicada, Institu= to de Posgrado, Universidad Técnica de Manabí, Portoviejo,=

Ecuador.

=

2

Miguel Alfonso Flores Sánchez=

 

https://orcid.org/0000-0002-7742-1247

 

 

Docente de la Universidad Politécnica Nacional. Quito, Ecuador.

miguel.flores@epn.edu .

3

Alba Dolores Alay Giler

 

 

 

Docente de la Universidad Técnica de Manabí, Instituto de Posgrado. Portoviejo, Ecuador= . alba.alay@utm.edu.ec   <= /span>

 

 [H1] 

 

 

 

 

= Artículo de Investigación Científica y Tecnológica

= Enviado: 08/01/2022

= Revisado: 24/01/2022

= Aceptado: 16/02/2022

= Publicado:05/03/2022

DOI: https://doi.org/10.33262/concienciadigital.v5i1.3= .2136  =

 = ;

 

= =  

 

Cítese:

 

 

Lozano Torres, B. V., Flores Sánchez, M. A., & Alay Giler, A. D. (2022). Bajo rendimiento en las matematicas “Ser Bachiller” canton Duran 2020. ConcienciaDigital, 5(1.3), 197-215. https://doi.org/10.33262/concienciadigital.v5i1.3.2136<= span style=3D'mso-bookmark:_Hlk92353975'>

 <= /p>

 

 

CONCIENCIA DIGITAL, e= s una Revista Multidisciplinar, Trimestral, que se publicará 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. https://concienciadigital.org  =

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

 

 

 

Esta revista está pr= otegida bajo una licencia Creative Commons Attribution Non Commercial No Derivati= ves 4.0 International. Copia de la licencia: http://creativecomm= ons.org/licenses/by-nc-nd/4.0/<= /i>

 

Palabras claves: multivariable, ser bachiller, bajo r= endimiento.

 

 

 

Resumen

Introducción. Las pruebas ser bachiller representan en ecuador, una manera de lograr establ= ecer las diferentes capacidades y aptitudes académicas que poseen los futuros bachilleres de la nación, esto es de gran interés para la nación ya que s= on estos bachilleres quienes ingresaran a las diferentes instituciones de educación superior del país, y resulta interesante conocer los datos en cuanto a rendimiento académico se refiere. Objetivo. Evaluar, por medio del método estadístico Multivariable, los factores que posiblem= ente inciden de manera directa e indirecta en el bajo rendimiento académico en= el área de las matemáticas de la prueba ser bachiller. Metodología. La investigación es de tipo no experimental de t= ipo descriptiva y analítica. Resultados. Se procedió a filtrar la base de datos proporcionada por el Instituto Nacional de Evaluación Educacional, con la finalidad de trabajar solo con los resultados del cantón Duran del año 20= 20. Conclusión. Se evidencia que las bajas calificaciones en el área de las matemáticas guardan estrecha relación con el tipo de segregación económica del sustentante y del tipo de institución en el que cursa sus estudios.<= /o:p>

 

 

Keywords: multivariable, being a bachelor, low performance.

&= nbsp;

 

 

Abstract

Introduction. The high school tests represent in Ecuador, a way to establish the different academic skills and aptitudes that the nation's future high school graduates possess, this is= of great interest to the nation since it is these high school graduates who = will enter the different institutions of higher education of the country, and = it is interesting to know the data regarding academic performance. Objective. Evaluate, by means of the Multivariable statistical method, the factors that possibly affect directly and indirectly in the low academic performance in the area of mathematics of the high school test. Methodology. The research is non-experimental, descriptive and analytical. Results. The database provided by the National Institute of Educational Evaluation was filtered, in order to work only with the results of the Du= ran canton of the year 2020. Conclusion. It is evident that low grades in the area of mathematics are closely related to= the type of economic segregation of the applicant and the type of institution= in which he studies.=

 

 

Introducción= <= /p>

La educación es uno de los derechos fundamentales que posee el ser humano, es = uno de los pilares que sostiene a las sociedades del mundo, por ende, es una de= las características que hace al ser humano más productivo, ha logrado a través = del conocimiento y la educación la evolución de la vida en el planeta, la educa= ción hace que los países avancen y se sostengan, logra que los seres humanos persigan un bien común.

Las necesidades actuales en la educación, en el marco de = la globalización son cada vez más altas, no solo se requiere una enseñanza úni= ca y en una sola dirección, sino que es necesario el aprendizaje en múltiples ár= eas, que fortalezca al individuo en diferentes vertientes del saber, que proporc= ione las herramientas necesarias para afrontar los retos que a diario se imponen. Esto hace necesario que el personal docente se prepare cada día más en consonancia con los avances tecnológicos y en áreas que no se contemplaban anteriormente, como por ejemplo el área tecnológica, que hoy día va en aume= nto y cada día son más y más los avances en esta materia.

En el orden conceptual, él y la estudiante deja de ser ob= jeto de enseñanza para convertirse en sujeto de aprendizaje, mientras que él y la docente de transmisor de conocimientos pasa a ser un/a orientador/a, un/a g= uía que acompaña y conduce al alumnado en el proceso de construcción de sus conocimientos, habilidades y valores en situaciones de aprendizaje que potencian el desarrollo de su competencia profesional. En el orden metodológico, se transita de una metodología de enseñanza academicista y expositiva, centrada en el personal docente, a una metodología participativ= a, centrada en el necesario vínculo de la teoría y la práctica profesional y el carácter protagónico del estudiantado en la búsqueda de soluciones éticas y eficientes a los problemas que ha de enfrentar en su desempeño profesional.= (Gonzalez et al., 2019).

 El proceso de la enseñanza requiere una organización y planificación por parte del educador, en este orden de ideas= , la planeación de las actividades pedagógicas requiere pensar en la metodología= y los recursos más indicados para que los contenidos programáticos se puedan desarrollar en los estudiantes de una manera apropiada. En este sentido, el proceso de la enseñanza emplea estrategias didácticas como parte de su organización en el proceso Sandoval (2020), por consiguiente, l= as estrategias didácticas son  herrami= entas útiles que ayudan  al educador a comunicar los contenidos planeados y para hacerlos más amigables para la comprensión de los estudiantes (Amos, 1998)

Es importante que los= educadores puedan facilitar a los educandos las innovaciones propuestas en el proceso educativo con el fin de poder identificar el impacto generado como innovaci= ón educativa al proceso propuesto.  Co= n el arribo de las TIC a los contextos escolares, se ha dado un nuevo impulso a = los métodos pedagógicos, propiciando en el sistema escolar la búsqueda de nuevos caminos innovadores en el proceso formativo. Por lo tanto, son los educadores del s= iglo XXI, en su nuevo rol docente, los que están llamados a liderar, a partir de experiencias innovadoras, el desarrollo de las diferentes capacidades en los estudiantes, como son: aprender a trabajar en equipo, empatía, creatividad, comunicación, inclusión, entre otras, apoyadas desde las herramientas TIC <= span style=3D'mso-no-proof:yes'>(Sandoval, 2020, p.4).<= /span>

Lo anterior solo denota uno de los grandes desafíos que se presenta en la educación en todos los niveles, ya que las innovaciones tecnológicas están = allí y representan una de las herramientas más potentes para poder llegar a más = personas, en este caso los estudiantes, con esto en mente resulta importante que las capacidades intelectuales de cada estudiante sean potencializadas haciendo = uso de recursos tan importantes como las metodologías y estrategias de enseñanza-aprendizaje más actuales para lograr que los estudiantes puedan afrontar con mejores oportunidades los retos que comprende el siglo XXI.

Una de las evaluaciones que busca generar un diagnóstico de la preparación educativa de los estudiantes antes de egresar= del ciclo de bachillerato, así como le permitirá ingresar a las instituciones de educación superior en el Ecuador es la prueba Ser Bachiller. Un instrumento= que detalla las fortalezas y debilidades del sistema educativo ecuatoriano. Esta prueba surge a partir del Acuerdo Ministerial No. 0382.13 del Ministerio de Educación con fecha 21 de octubre de 2013, en el que a través de la Ley Org= ánica de Educación Intercultural (LOEI) (artículo 67) se establece la creación del Instituto Nacional de Evaluación Educativa (INEVAL) (Vil= laruel et al., 2020).

La presente investigación está enfocada a realizar= un estudio para determinar los posibles factores que inciden en el bajo rendimiento académico observado en el área de matemática, resulta interesan= te y un tema urgente el conocer las causas que están generando estos resultados,= si bien es cierto históricamente, las matemáticas provocan cierta ansiedad en = la mayoría de los estudiantes, también lo es que la necesidad de contar con estudiantes con un buen manejo de estas áreas es de vital importancia, ya q= ue esto influye directamente en el desempeño que puedan tener dichos estudiant= es en la universidad, y contando con el hecho de que las matemáticas son vital= es para las carreras a nivel de ingeniería y administración, entre otras que también requieren un razonamiento matemático importante. =

Por lo cual en este artículo se evidencias ciertas consideraciones encontradas mediante el uso de la base de datos de la prueba Ser Bachiller del año 2020 en el cantón Duran. Los datos fueron analizados haciendo uso del programa SPSS IBM 22.

Metodología

El tipo de investigación a aplicar dentro de este trabajo de grado e= s no experimental. Este tipo de investigación es el que se realiza sin manipular= en forma deliberada ninguna variable, por lo que los hechos se observan tal y = como se presentan en su contexto real y en un tiempo determinado o no, para luego analizarlos (Palella & Martins, 2010)<= /span>. Del mismo modo,= (Hernandez et al., 2010)= señalan que en la investigación no experimental las variables independientes ocurren y no es posible manipularlas, no se tienen control directo sobre dichas variables n= i se puede influir en ellas, porque ya sucedieron, al igual que sus efectos.

En este sentido, la investigación se basa en que existen factores que inciden en el rendimiento académico de las matemáticas de los estudiantes, = por lo que las variables de este fenómeno no pueden ser manipulables, sino que = al contrario se analizan, a través de las técnicas de análisis multivariante, = para poder encontrar soluciones al bajo rendimiento de los estudiantes de bachillerato cuando presentan la prueba Ser Bachiller.

Los niveles de investigación aplicados para la presente investigació= n es el descriptivo y analítico. Una investigación descriptiva es aquella que ti= ene como objetivo obtener una caracterización del evento de estudio, por lo que= no se interesa por estudiar relaciones de causalidad, por dar explicaciones o comparar grupos, sólo alude a como es algo (Hurtado, 2008)<= /span>. Asimismo, Palella & Martins (2= 010) manifiestan que la investigación descriptiva busca interpretar realida= des de hecho, el cual incluye descripción, registro, análisis e interpretación = de la naturaleza actual, composición o procesos de los fenómenos. <= /span>

Es así que, los factores obtenidos, a través del método de análisis multivariantes, sobre el bajo rendimiento académico en matemáticas de los estudiantes de bachillerato que presentan la prueba Ser Bachiller son realidades que describen las técnicas de enseñanza-aprendizaje que utilizan tanto los docentes como estudiantes de las diferentes unidades educativas d= el Ecuador, por lo cual su descripción permitirá desarrollar las estrategias permitan mejorar el rendimiento académico.

Por otra parte, la investigación analítica tiene como resultado la e= misión de un juicio con respecto al evento de estudio, con base en un criterio de análisis; así como también, implica la reinterpretación de lo analizado en función de algunos criterios, dependiendo de los objetivos del análisis (Hurtado, 2008)<= /span>. Este juicio se realizará en el presente trabajo de grado a través de los resultados obteni= dos y de la comparación de los mismos con la bibliografía referentes a los dive= rsos temas que caractericen los factores de bajo rendimiento en matemáticas en l= os estudiantes de bachillerato.

La determinación = de la población y la muestra, parte del tipo de investigación que se aplica pa= ra enfrentarse a la realidad problemática, por ello es importante dar una mira= da al enfoque de los tipos de investigación, según la naturaleza de las variab= les (Mucha et al., 2020)

Una parte importante dentro de cualquier investigación es determinar= la población y muestra de estudio. En este sentido, Lepkowski (2008)<= /span>, citado por (Hernandez et al., 2010)= una población es= el conjunto de todos los casos que concuerdan con una serie de especificacione= s. De la misma forma, la población es el conjunto de unidades de las que se de= sea obtener información y sobre las que van a generar las conclusiones, la cual= puede ser definida como el conjunto finito o infinito de elementos, personas o co= sas pertinentes a una investigación (Palella & Martins, 2010)<= /span>. La población de estudio es la cantidad de estudiantes que presentan la prueba Ser Bachiller, del cantón Durán, tomando en consideración el dominio matemático para el año 2020.

Cuando las poblaciones son grandes, se impone la selección de las personas, por lo que la muestra es una parte representativa cuyas características se reproduce de la manera más exacta posible = (Palella & Martins, 2010)<= /span>. Es decir, que la muestra es un subgrupo de la población de interés sobre el cual se recolect= arán datos, y que tiene que definirse y delimitarse de antemano con precisión, a= demás de que debe ser representativo de la población (Hernandez et al., 2010)= . Como la muestra debe ser representativa de la población entonces se procede a calcularla en función de la siguiente ecuación matemática para poblaciones finitas:<= /o:p>

Dónde:

n=3D muestra

N=3D tamaño poblacional =3D

Z=3D Nivel de confianza =3D 1,96

p=3D proporción = =3D 0,90

e=3D Error estánd= ar =3D 0,05

Por lo que; =

Las técnicas de recolección de datos representan una de las más importantes consideraciones que un investigador debe tener en cuenta para la realización de cualquier investigación, esto sin duda representa el camino = que tomara la investigación y sobre todo la validez de los datos recabados. Es = así como para (Yuni & Urbano, 2014)<= !--[if supportFields]><= /span>, la recolección = de datos es considerada como la medición es una precondición para obtener el conocimiento científico.

Cuando se realiza= un trabajo de investigación, es necesario considerar los métodos, las técnicas= e instrumentos como aquellos elementos que aseguran el hecho empírico de la investigación, donde método representa el camino a seguir en la investigación, las técnicas constituyen el conjunto de instrumentos en el cual se efectúa el método, mientras que el instrumento incorpora el recurso o medio que ayuda a realiz= ar la investigación, además el uso de técnicas de recolección de información es u= na etapa donde  se inspecciona y se transforman los datos con el objetivo de resaltar información útil, lo que sugiere conclusiones y apoyo a la toma de decisiones (Hernández & Avila, 2020)<= span style=3D'mso-bookmark:_Hlk81985521'>

De igual manera, El instrumento de recolección de datos está orienta= do a crear las condiciones para la medición. Los datos son conceptos que expresan una abstracción del mundo real, de lo sensorial, susceptible de ser percibi= do por los sentidos de manera directa o indirecta, donde todo lo empírico es medible = (Hernandez et al., 2010).

La investigación requiere en todo su proceso una recolección de datos fidedignos para su correcto tratamiento y análisis, el tipo de instrumento y los métodos de análisis de datos dependerá en gran medida del enfoque de la investigación, corresponde entonces al investigador tomar la decisión de que técnicas o métodos empleará. Dicha decisión guarda estrecha relación con la naturaleza del objeto de estudio, con los modelos teóricos empleados para construirlo y con la lógica paradigmática de la que el investigador parte <= /span>(Hernández & Avila, 2020)<= /span>

Para este caso, el levantamiento de la información se realizó por me= dio de la encuesta, la cual contempla los siguientes factores:

·      =    Condiciones de habitabilidad

·      =    Fuentes de Ingreso Familiar

·      =    Cuantos padres aportan a la economía del hogar

·      =    Nivel de instrucc= ión de los padres

·      =    Sexo

·      =    Tipo de instituci= ón en la cual se estudia (pública o privada)

·      =    Si el estudiante cuenta con una beca o no

·      =    Etc.

Este tipo de cuestionario se aplicó a los estudiantes del cantón dur= an, con la finalidad de establecer un análisis de las posibles causas que origi= nan el bajo rendimiento académico en el área de las matemáticas. Cabe destacar = que las preguntas que componen al cuestionario abarcan temas socioeconómicos y educación ya que se infiere que este tipo de temas pudiese impactar en la b= aja calificación de un estudiante en el área matemática.

De igual manera se evalúa estadísticamente los resultados de la prue= ba Ser Bachiller mediante la data del ciclo 2019-2020 proporcionada por el Instituto Nacional de Evaluacion Educativa (INEE, 2020) disponible en el siguiente enlace (http://www.evaluacion.gob.ec/evaluaciones= /descarga-de-datos/) la cual se descarga en su versión .Sav = para ser manipulada por medio del programa estadístico IBM SPSS 22, este programa proporciona los referidos análisis estadísticos correspondientes por medio = de las técnicas multivariables, por medio de las cuales se analizan las posibl= es interacciones o relaciones que guardan las variables involucradas.

En primera instan= cia se procedió a depurar la data y se trabajó con los datos correspondientes al cantón Duran, y se usaron las siguientes variables:

·      =    Sexo

·      =    Tipo de Financiamiento de la Institución (Público, Privado o Mixto)

·      =    Tp_Sost, tipo de sostenimiento de la Institución (Particular, Municipal, Fiscomisional, Fisc= al)

·      =    Tp_area, área de asentamiento de la institución (Rural, Urbana, Exterior)<= /span>

·      =    Quintil (Segregac= ión de la población según su índice socioeconómico)

·      =    Nl_Imat, Nivel logrado por el estudiante en el dominio de la matemática.=

·      =    Nota de la prueba= del Dominio Matemático.

Por medio del cruce de estas variables se buscarán las posibles relaciones que puedan existir en cuanto al bajo rendimiento en el área de l= as matemáticas, en los estudiantes que presentaron la prueba Ser Bachiller en = el cantón Duran durante el ciclo 2019-2020.

Para lograr los objetivos planteados en esta investigación, se detal= larán a continuación las técnicas y análisis que se desarrollarán con la finalida= d de lograr los resultados esperados y realizar los respectivos análisis.=

Resultados y Discusión

En primera instancia, se procedió a filtrar la base de datos proporcionada por el Instituto Nacional= de Evaluación Educacional, con la finalidad de trabajar solo con los resultados del cantón Duran del año 2020.

Tabla 1

Estudiantes Evaluados

Año Ser Bachiller <= /p>

Estudiantes Evaluados

2020

272.370

Fuente: Base de datos prueba ser bachiller 2020<= o:p>

Seguidamente, se procedi= ó a realizar la prueba de Chi Cuadrado con la finalidad de verificar si existe = o no la relación entre las bajas calificaciones o el bajo rendimiento de los estudiantes en el área de las matemáticas y ciertas variables presentes en = la data, para lo cual se plantean las siguientes hipótesis:<= /span>

  1. H0: La nota obtenida en el dominio matemático es la misma de los sustentantes con el tipo de sostenimiento de la Institución=

H1: La nota obtenida en = el dominio matemático presenta notables diferencias entre los postulantes con = un nivel de sostenimiento de la institución particular, municipal, fiscomision= al, fiscal.

  1. H0: La nota obtenida en el dominio matemático es la misma que los postulantes con segregación socioeconómica quintil 1, quintil 2, quint= il 3, quintil 4 y quintil 5.

H1: La nota obtenida por= los postulantes en el dominio matemático presenta diferencias con los postulant= es con segregación socioeconómica quintil 1, quintil2, quintil 3, quintil 4 y quintil 5.

  1. H0: La nota de los sustentantes en el dominio matemático es la m= isma sin diferenciar sexo.

H1: La nota obtenida en = el dominio matemático por los sustentantes presenta diferencias de acuerdo al = sexo del sustentante.

Ahora bien, se presentan= los resultados para la primera hipótesis:

 

 

 

 

Tabla 2

Prueba Chi-cuadrado

=  

= Valor

= gl

= Sig. asintótica (2 caras)

Chi-cuadrado de Pearson

6877,873a<= /p>

162

,000

Razón de verosimilitud

6721,373

162

,000

Asociación lineal por lineal=

6159,843

1

,000

N de casos válidos

169580

 

 

Nota: Obtenida en el Dominio Matemático en Relación al Tipo de Sostenimiento de la institución Educativa

 

Fi= gura 1

Gráfico de Barras nota Obtenida en el dominio Matemático y el Tipo de Sostenimiento de= la Institución Educativa

Fuente: Elaboración Propia

Para este caso el valor de Chi-cuadrado de Pears= on es de 6877,873 y el valor de Sig. Asintótica es de ,000 por lo cual se rech= aza la hipótesis nula, aceptando la hipótesis alternativa, es decir, la nota obtenida en los sustentantes presenta diferencias significativas entre los sustentantes que se ubican o realizan sus estudios en instituciones de tipo particular, municipal, fiscomisional y fiscal.

Las mayores notas que los estudiantes obtuvieron= en la prueba Ser Bachiller en el cantón Duran se encontraron en las institucio= nes educativas con tipo de sostenimiento particular y municipal, seguidamente de las instituciones de tipo fiscomisional y fiscal.<= /p>

Seguidamente, se presenta el análisis de Chi-cuadrado para las variables de nota obtenida en el dominio matemático y= el tipo de segregación socioeconómica.

 

 

 

= Tabla 3

= Prueba Chi-cuadrado Nota Obtenida en el Dominio Matemático en Relación al Tipo de Segregación Socioeconómico.=

 

Valor

gl

Sig. asintótica (2 caras)

Chi-cuadrado de Pearson

4002,649a<= /p>

216

,000

Razón de verosimilitud

4027,874

216

,000

Asociación lineal por lineal=

3122,928

1

,000

N de casos válidos

169050

 

 

 

 

Figura 2

= Dominio Matemático en Relación al Tipo de Segregación Socioeconómico

Fuente: Elaboración Propia

En este caso, el valor de Chi-cuadrado es de 4002,649. El valor de significancia es del 0,05 por lo cual el valor de sig= es menor a este valor ,000 por lo cual se rechaza la hipótesis nula aceptando entonces la hipótesis alternativa, es decir que el tipo de segregación económica tiene incidencia en la nota obtenida en el dominio matemático de = los sustentantes, de igual manera en la siguiente tabla se observa que la nota = en el dominio matemático aumenta según va del quintil 1 (población menos favorecida económicamente) hasta el quintil 5 (población más favorecida económicamente), esto sugiere que la condición económica influiría de manera significativa en las notas obtenidas por los estudiantes según su posición económica.

Por último, se presenta la evaluación de chi cuadrado a las variables de las notas obtenidas en el dominio matemático y = el sexo de los sustentantes.

 

 

 

Tabla 4

Prueba Chi-cuadrado Nota Obtenida en el Dominio Matemático en Relació= n al Tipo de Sexo de los Sustentantes

 

= = Valor

= = gl

= = Sig. asintótica (2 caras)

Chi-cuadrado de Pearson

91,855a

54

,001

Razón de verosimilitud

98,689

54

,000

Asociación lineal por lineal=

,269

1

,604

N de casos válidos

169580

 

 

Fuente: Elaboración Propia=

Al respecto de lo observado en la imagen 3, resulta interesante analizar los resultados obtenidos respecto a la toma de decisión si se acepta o no la hipótesis nula, ya que según el resultado de la prueba del chi-cuadrado, cu= yo valor es 91,855 y el valor del sig es de ,001. Esto indica que la hipótesis nula se acepta, por lo cual la nota obtenida en el dominio matemático no gu= arda relación alguna con el sexo del sustentante, sin embargo, es de resaltar que este factor es tomado en consideración al momento de realizar la correlación entre las variables ya que es un factor cultural, que sugiere que el sexo de una persona incide en la capacidad mental de una persona.

A continuación, se puede observar la gráfica correspondiente a este análisis

 

Figura 3

Nota en el dominio matemático Vs. Sexo del sustentante[H2] 

Fuente: Elaboración Propia.

Estos resultados contrastan con lo descrito en el trabajo de investigación de Sánchez (2020) titulado: La brecha de género en matemática en Ecuador: Evidencia desde las pruebas “Ser Estudiante” y “Ser Bachiller”, en la que los resultados sugieren que los estudiantes del sexo hombre lograban un alto porcentaje en= las calificaciones obtenidas en la prueba Ser Bachiller en comparación con las mujeres, sin embargo en la misma investigación los resultados no fueron concluyentes ni suficientes”

Con la finalidad de sustentar aún más el presente estudio, se realizó una encuesta la cual fue aplicada a 85 estudiantes que presentaron la prueba Ser Bachiller en el Cantón Duran, en el año 2020. De igual manera se comparan las variables en la encuesta con la finalidad de determinar relaciones significantes que permitan describir el comportamient= o en cuanto al bajo rendimiento académico, específicamente en el área de matemáticas.

Tabla 5

Estadísticos Descriptivos Encuesta

 

¿Habita Ud. en vivienda Propia o Rentada?=

¿Cuantas personas habitan en su casa?

¿Cuantas personas aportan a la economía del ho= gar?

Sexo

¿En qué tipo de institución realiza sus estudi= os?

¿En qué área se encuentra su institución?=

¿Considera ud que la educación que recibe es de calidad? Si=3D1 no=3D2

¿Ha recibido ud suficiente información sobre el área de matemáticas?

N

Válido

85

85

85

85

85

85

85

85

Perdidos

0

0

0

0

0

0

0

0

Media

1,62

4,36

1,78

1,26

2,38

1,62

1,35

1,53

Mediana

2,00

4,00

2,00

1,00

2,00

2,00

1,00

2,00

Desviación estándar

,487

2,473

,777

,441

1,069

,487

,481

,502

Varianza

,238

6,115

,604

,194

1,142

,238

,231

,252

Rango

1

9

3

1

3

1

1

1

Mínimo

1

1

1

1

1

1

1

1

Máximo

2

10

4

2

4

2

2

2

Suma

138

371

151

107

202

138

115

130

Nota: Elaborada Mediante Programa Estadístico SP= SS Fuente: Elaboración Propia

En la tabla 5, se pueden observar diferentes estadísticos evaluados mediante el programa SPSS, con la finalidad de obten= er datos de interés, como es el caso de la media en cada pregunta, la cual con respecto a cada varianza indica que los datos recabados se encuentran dentr= o de los limites estándar, es decir, los datos no se encuentran tan dispersos en función de la media de cada pregunta.

Seguidamente se presentarán dos tablas de frecuencias, las cuales representan a las preguntas relacionadas a la econo= mía familiar y al tipo de institución educativa en la cual los sustentantes realizan sus estudios, estos estadísticos son de interés ya que anteriormen= te se probaron hipótesis mediante el análisis multivariante, precisamente relacionadas a estos aspectos.

 

 

 

= Tabla 6

= Análisis de Frecuencia Encuesta. ¿Cuántas person= as aportan a la economía familiar?

 

Frecuencia

Porcentaje

Porcentaje válido

Porcentaje acumulado<= /p>

Válido

1

34

40,0

40,0

40,0

2

39

45,9

45,9

85,9

3

9

10,6

10,6

96,5

4

3

3,5

3,5

100,0

Total

85

100,0

100,0

 

Nota: Elaboración Mediante Programa Estadístico SPSS

Se puede observar que en los hogares de los sustentantes encuestados predomina= el aporte económico de dos miembros de la familia, el 45% se encuentra en ese rango, mientras que con el 40% de los encuestados reportan que solo una per= sona es quien realiza el aporte económico en la familia a la cual perteneces, resulta interesante este tipo de análisis porque se presume que un bajo rendimiento estudiantil está relacionado con el bajo ingreso económico familiar.

Tabla 7=

Análisis de Frecuencia Encuesta. ¿En qué tipo de institución realiza sus estudios?=

 

Frecuencia

Porcentaje

Porcentaje válido

Porcentaje acumulado<= /p>

Válido

Particular

23

27,1

27,1

27,1

Municipal

22

25,9

25,9

52,9

Fiscomisional

25

29,4

29,4

82,4

Fiscal

15

17,6

17,6

100,0

Total

85

100,0

100,0

 

Nota: Elaboración Mediante Programa Estadístico = SPSS

De acuerdo a la tabla anterior, se puede decir q= ue el 29,4% de los estudiantes cursan sus estudios en instituciones de tipo Fiscomisional, la cual es una institución con ayuda o aportes de tipo guber= namental, esto quiere decir que la institución goza de un tipo de subsidio, por otra parte el 27,1% de los encuestados se encuentra en una institución de tipo particular, es decir de tipo privado, en el que generalmente se encuentran estudiantes cuya condición socioeconómica es mucho más favorable, esto contrasta con los resultados reflejados en la tabla 7, en la que indica que= las mayores notas obtenidas en el dominio matemático se lograron en las instituciones de tipo particular y municipal. Seguidos del 25,9% se ubican = en instituciones de tipo Municipal, y el 17,6% en instituciones de tipo Fiscal= .

Los resultados obtenidos anteriormente, tanto en= las pruebas de hipótesis mediante Chi-cuadrado y las evaluaciones a la encuesta realizada a los sustentantes permiten realizar algunas consideraciones al respecto. Todos los análisis se realizaron mediante el uso del programa estadístico SPSS IBM 22.

El enfoque principal de la investigación fue dirigido a la evaluación de las variables mediante el análisis multivariant= e de la base de datos de la prueba Ser Bachiller en el cantón Duran durante el a= ño 2020, con la finalidad de establecer las posibles relaciones entre el bajo rendimiento en el área de matemáticas de los sustentantes y las variables de tipo socioeconómica, tipo de sostenimiento de la institución, sexo del sustentante, entre otros factores que se consideraron para el estudio estadístico.

En cuanto a la evaluación estadística por medio = de la prueba de hipótesis se pudo constatar que el bajo rendimiento académico = en las notas en el dominio matemático guarda relación con respecto al tipo de institución en donde cursan sus estudios, es decir los estudiantes que presentan mayor nota en el área de matemáticas se encuentran en las instituciones de tipo Particular y Municipal, mientras que las notas no tan altas en el área de matemáticas se ubican en instituciones de tipo Fiscomisional y Fiscal. 

De igual manera, se determinó que el bajo rendimiento académico en el área de las matemáticas en los sustentantes de = la prueba Ser Bachiller también se relaciona con el tipo de segregación socioeconómica, se determinó que las notas aumentan en relación al aumento = del quintil, es decir que las notas en el quintil 1 (Población menos favorecida económicamente) son más bajas en comparación con las notas del quintil 5 (Población más favorecida económicamente). Esta resulta interesante ya que = el sistema enseñanza aprendizaje no debería ser afectado por la condición económica del estudiante, sin embargo en este caso resulto ser así.

Por otra parte, otra variable analizada fue la d= el sexo, mediante la prueba de hipótesis igualmente se pudo evidenciar que no existen evidencias suficientes para sugerir que algún sexo en particular obtiene mejor puntaje, al menos en el dominio matemático.=

De igual manera, se realizó una encuesta a 85 sustentantes del cantón Duran, con aspectos relacionados a las condiciones socioeconómicas, sexo, ubicación de la institución, tipo de sostenimiento d= e la institución entre otros aspectos que servirían para corroborar las conclusi= ones a las que se llegó con las pruebas de hipótesis. Estos resultados evidencia= ron, entre otras cosas que el tipo de sexo es indiferente al momento de obtener mejores calificaciones en el área de las matemáticas. 

A pesar de que este es un estudio estadístico realizado con datos provenientes de la base de datos proporcionada por el Instituto Nacional de Evaluación Educacional, se recomienda que se realice = un estudio más completo, en el que se evalúen todas las variables presentes co= n el fin de lograr un mejor y más completo análisis a fin de llegar a conclusion= es más confiables y mucho más certeras.

Por otro lado, y de acuerdo a los hallazgos que = se lograron, es recomendable que el gobierno, promueva políticas que apoyen mu= cho más a los sectores más deprimidos económicamente del ecuador, teniendo en cuenta que la educación es uno de los pilares fundamentales para el desarro= llo de cualquier nación, se deben implementar medidas de carácter urgente que promuevan un mejor sistema de educación en todos los niveles educativos, así como proveer de mejores métodos de enseñanza a los profesores encargados de transmitir sus conocimientos.

Igualmente, se recomienda realizar un estudio que permita identificar las posibles falencias que puedan presentar los profeso= res y maestros en cuanto a técnicas de enseñanza, para que de esta manera se pu= edan atacar los puntos débiles y fortalecer la otra variable de la educación, co= mo lo son los educadores.

Conclus= iones

·      =    Los resultados obtenidos anteriormente, tanto en las prue= bas de hipótesis mediante Chi-cuadrado y las evaluaciones a la encuesta realiza= da a los sustentantes permiten realizar algunas consideraciones al respecto. Tod= os los análisis se realizaron mediante el uso del programa estadístico SPSS IBM 22.

·      =    El enfoque principal de la investigación fue dirigido a la evaluación de las variables mediante el análisis multivariante de la base de datos de la prueba ser bachiller en el cantón Duran durante el año 2020, co= n la finalidad de establecer las posibles relaciones entre el bajo rendimiento e= n el área de matemáticas de los sustentantes y las variables de tipo socioeconóm= ica, tipo de sostenimiento de la institución, sexo del sustentante, entre otros factores que se consideraron para el estudio estadístico.=

·      =    En cuanto a la evaluación estadística por medio de la pru= eba de hipótesis se pudo constatar que el bajo rendimiento académico en las not= as en el dominio matemático guarda relación con respecto al tipo de institució= n en donde cursan sus estudios, es decir los estudiantes que presentan mayor not= a en el área de matemáticas se encuentran en las instituciones de tipo Particula= r y Municipal, mientras que las notas no tan altas en el área de matemáticas se ubican en instituciones de tipo Fiscomisional y Fiscal. 

·      =    De igual manera, se determinó que el bajo rendimiento académico en el área de las matemáticas en los sustentantes de la prueba Ser Bachiller también se relaciona con el tipo de segregación socioeconómica, se determinó que las notas aumentan en relación al aumento del quintil, es dec= ir que las notas en el quintil 1 (Población menos favorecida económicamente) s= on más bajas en comparación con las notas del quintil 5 (Población más favorec= ida económicamente). Esta resulta interesante ya que el sistema enseñanza aprendizaje no debería ser afectado por la condición económica del estudian= te, sin embargo en este caso resulto ser así.

·      =    Por otra parte, otra variable analizada fue la del sexo, mediante la prueba de hipótesis igualmente se pudo evidenciar que no existen evidencias suficientes para sugerir que algún sexo en particular obtiene me= jor puntaje, al menos en el dominio matemático.

·      =    De igual manera, se realizó una encuesta a 85 sustentantes del cantón Duran, con aspectos relacionados a las condiciones socioeconómic= as, sexo, ubicación de la institución, tipo de sostenimiento de la institución entre otros aspectos que servirían para corroborar las conclusiones a las q= ue se llegó con las pruebas de hipótesis. Estos resultados evidenciaron, entre otras cosas que el tipo de sexo es indiferente al momento de obtener mejores calificaciones en el área de las matemáticas.  =

 

Referencias bibliográficas

Amos, J. (1998). Didactica Magna (Octava ed.). Mex= ico DF: Editorial Porrúa. Obtenido de https://www.pensamientopenal.com.ar/system/files/2014/12/doctrina38864.pdf<= o:p>

Gonzalez, M., Lazara, V., Lopez, A., Valdivia, J., & Carvajal, K. (2019). Clima de enseñanza favorecedor delaprendizaje. Un estu= dio en la Facultadde Ingeniería de la Universidad deAtacama. Revista Educaci= on.

Gonzalez, V., Gonzalez, R., & Lopez, A. (2011). Diseñ= o de situaciones de aprendizaje que potencien competenciasprofesionales en la enseñanza universitaria. . Magíster. Revista de formación del profesorad= o e investigacióneducativa, 185-209.

Hernandez, R., Fernandez , C., & Baptista , P. (2010)= . Metodologia de la Investigacion. Mexico, DF: McGraw Hill Interamericana.=

Hernández, S., & Avila, D. (2020). Técnicas e instrumentos de recolección de datos. Boletín Científico de las Ciencias Económico Administrativas del ICEA, 51-53.

Hurtado, J. (2008). Metodologia de la Investigacion Holistica. Caracas.

Instituto Nacional de Evaluacion Educativa, INEE. (2020).= Resultados prueba ser bachiller 2019-2020. Obtenido de http://www.evaluacion.gob.ec/evaluaciones/descarga-de-datos/

Lepkowski, J. (2008). Metodologia de la Investigacion.=

Mucha, L., Chamorro, R., Oseda, M., & Alania, R. (202= 0). Evaluacion de Procedimientos Empleados para Determinar la Poblacion y Muest= ra en Trabajos de Investigacion de Posgrado. Desafios.

Palella, S., & Martins, F. (2010). Metodologia de = la Investigacion Cuantitativa. Caracas: FEDUPEL.<= /p>

Sánchez, P. (2020). La brecha de género en matemática = en Ecuador: Evidencia desde las pruebas “Ser Estudiante” y “Ser Bachiller”. Argentina:. La plata: Tesis para optar por el titulo de Magister en Economia en la Universidad de la Plata.

Sandoval, C. (2020). La Educación en Tiempo del Covid-19 Herramientas TIC: El Nuevo Rol Docente en el Fortalecimiento del Proceso Enseñanza Aprendizaje de las Prácticas Educativa Innovadoras. Revista Internacional Tecnologica-Educativa Docentes 2.0, 9(2), 24-31. Obtenido= de https://doi.org/10.37843/rted.v9i2.138

Villaruel, R., Tapia , K., & Cardenas, J. (2020). Determinantes del rendimiento académico de la educación media en Ecuador. <= i>Revista Economia y Politica.

Yuni, J., & Urbano, C. (2014). Técnicas para investigar. Recursos metodológicos para la preparación de proyectos de investigación. Editorial brujas.

 

 

            <= /p>

 =

 =

 

 

 

 

 

 

 

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

 


 

 

El artículo queda en propiedad de la revista y, por tanto, su publicación parc= ial y/o total en otro medio tiene que ser autorizado por el director de la Revista Conciencia Digital.<= /o:p>

 

 

 

 



 [H1]REVISAR DATOS DE AUTORES

 [H2]TABLA Y TITULO EN TAMAÑO 12, CUADRO EN TAMAÑO 10, FUENTE EN TAMAÑO 10,SIGA FORMATO APA 7MA,ADJUNTO EJEMPLO,SIN PUNTO

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ISSN: 2600-5859

Vol. 5 No. 1.3,  p= p. 197 – 215 , marzo 2022

 

 

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