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Estudio comparativo entre las estrategias metacognitivas y su efecto en el razonamiento lógico en los estudiantes de pedagogía

 

Comparative study between metacognitive strategies= and their effect on logical reasoning in pedagogy students

 

1

Gonzalo Efrén Hidalgo Portocarrero

https://orcid.org/0000-0001-7603-693X

 

Maestría en Matemática, Mención Modelación y Docencia, Universidad Técnica “Luis Vargas Torres” de Esmeraldas. Docente de Matemá= tica y Física Unidad Educativa Fiscomisional Don B= osco del Cantón Esmeraldas.

gonzalo.hidalgo.portocarrero@utelvt.edu.ec

2

Ingris Pahola Simisterra Corozo

 

https://orcid.org/0009-0007-4617-0135

 

Docente de la Unidad Educativa Es= pecializada Guiomar Vera Ramírez del Cantón Esmeraldas. <= /span>ingris.s= imisterra@educacion.gob.ec

3

Abby Arabella Angulo Vargas

 

https://orcid.org/0009-0003-7114-1273

 

Docente de la Unidad Educativa Especializada Guiomar Vera Ramírez del Cantón Esmeraldas. abby.ang= ulo@educacion.gob.ec

4

Iván Ernesto Mina Cabrera

 

https://orcid.org/0009-0009-6004-8317

 

Docente de la Unidad Educativa Fiscal 15 de Marzo del Cantón Esmeraldas. ivan.min= a@educacion.gob.ec

 

 

 

Artículo de Investigación Científica y Tecnológica

Enviado: 13/03= /2023

Revisado: 16/0= 4/2023

Aceptado: 04/0= 5/2023

Publicado:08/0= 6/2023

DOI: https://doi.org/10.33262/ap.v5i2.1.362<= /span>

 

&nb= sp;

 

Cítese: =

 

 

Hidalgo Portocarrero, G. E., Simisterra Corozo, I. P., Angulo Vargas, A. A., & Mina Cabrera, I. E. (2023). Estudio comparati= vo entre las estrategias metacognitivas y su efe= cto en el razonamiento lógico en los estudiantes de pedagogía. AlfaPublicaciones, 5(2.1), 85–104. https:= //doi.org/10.33262/ap.v5i2.1.362

 

 

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Estrategias metacognitivas, razonamiento lógico, nivel superior, estrategias didácticas.

 

Resumen

Introducción: Las estrategias metacognitivas de aprendizaje se convierten en un elemento clave que permite al estudian= te orientarse en la información disponible mediante su organización, a través del cual desarrolla capacidades de razonamiento lógico matemático. Objetivo: analizar la forma en = que las estrategias metacognitivas contribuyen en= el razonamiento lógico y la resolución de problemas matemáticos en los estudiantes de la Carrera Pedagogía de la Matemática y la Física en la Universidad Técnica Luis Vargas Torres de Esmeraldas. Metodología:  paradig= ma centrado en el positivismo, conllevando un enfoque cuantitativo, analític= o, racionalista, sistemático científico y tecnológico; aplicando como técnic= a la encuesta a 40 estudiantes pertenecientes a la universidad mencionada ante= riormente. Resultados: el 38% de los estudiantes manifestaron que pocas veces imaginan el problema para decidir cómo resolverlo, evidenciando el aprendizaje mecánico que tienen en referencia a resolver problemas matemáticos.   Conclusión: las estrategias metacognitivas influyen significativamente en el razonamiento lógico, por lo que, en resolución de problemas matemáticos, = se debe proponer una enseñanza en el que se empleen estrategias didácticas y diversas metodologías relacionadas con las estrategias metacognitivas que les permitirán a los estudiantes controlar y supervisar el uso de sus recursos cognitivos, resultante de una planificación, verificación, seguimiento, revisión y evaluación de sus logros cognitivos. Área de estudio general: matemática y ciencias. Área de estudio específica: mode= lación y docencia.

 

 

Keywords: met= acognitive strategies, logical reasoning, higher level, didactic strategies.

 <= /p>

Abstract

Introduction: Metacognitive learning strategies become a key element that allows the student to orient himself= in the information available through his organization, through which he deve= lops mathematical logical reasoning abilities. Objective: to analyze the way in which metacognitive strategi= es contribute to logical reasoning and mathematical problem solving in stude= nts of the Mathematics and Physics Pedagogy Career at the Luis Vargas Torres = de Esmeraldas Technical University. Methodology: paradigm centered on positivism, involving a quantitative, analytical, rationalist, scientific and technological systematic approach; applying as technique the survey to forty students belonging to the university mentio= ned above. Results: 38% of the students stated that they rarely imagine the problem to decide how to sol= ve it, evidencing the mechanical learning they have in reference to solving mathematical problems. Conclusio= n: metacognitive strategies significantly influence logical reasoning, therefore, in solving mathematical problems, a teaching should be propose= d in which didactic strategies and various methodologies related to metacognit= ive strategies are used that will allow students to control and monitor the u= se of their cognitive resources, resulting from planning, verification, monitoring, review and evaluation of their cognitive achievements.

<= o:p> 

 

 

Introducción 

La sociedad del siglo XXI demanda la calidad de la educación superior en las instituciones educativas de todos los niveles socios-educativos, el avance educativo apoy= ada en una educación aplicando estrategias metacognitivas<= /span> aproxima a la calidad de la enseñanza-aprendizaje en todos los niveles.

La enseñanza y aprendizaje de la Matemática es un tema difícil, no existe una receta fácil para lograr aprendizajes en los estudiantes, particularmente en la enseñanza para la resolución de problemas de razonamiento lógico matemático, es una l= abor más complicada. Existen diversos factores a considerar e inercias que comba= tir.

Una de las principales problemáticas que se presentan en el contexto de la Educación Superior Esmeraldeña, suele estar relacionado con la dificultad de los estudiantes universitarios para desarrollar su razonamiento lógico, aspecto= que se encuentra vinculado con los procesos educativos anteriores, así como de = los recursos metodológicos que se pueden utilizar al respecto.

Para investiga= dores como Ulluari & Ulluari= (2018), la consolidac= ión del razonamiento lógico no es una actividad sencilla, puesto que requiere q= ue los estudiantes fortalezcan habilidades y destrezas cognitivas y analíticas= que son posibles si dentro del aula se hace uso de estrategias asertivas como pueden ser las metacognitivas. Sin embargo, est= o no siempre es factible, ya que, esta clase de estrategias no siempre se aplica= n en el aula, debido a distintos factores como el desconocimiento sobre las mism= as, así como la dificultad para aplicarlas en el contexto socio-educativo, desaprovechando sus ventajas y su contribución en la formación del razonami= ento lógico, crítico y reflexivo de los estudiantes en el desarrollo de sus actividades académicas.

La aplicación = de las estrategias metacognitivas en las actividades académicas de los estudiantes universitarios del cantón Esmeraldas, diferen= cia los estudiantes con alto y bajo desempeño académico en la resolución de problemas matemáticos. Özsoy & Ayşegül = (2009= ), manifiestan q= ue los estudiantes que aplican las estrategias metacognitivas= en la resolución de problemas matemáticos tienen un alto desempeño académic= o, los estudiantes que no la aplican tienen bajo desempeño. =

De esta manera= , la pregunta que define el problema científico en esta investigación correspond= e a la siguiente: ¿Cuál es la incidencia de la aplicación de estrategias metacognitivas en el razonamiento lógico en los estud= iantes de la Carrera Pedagogía de las Matemáticas y la Física?

El objetivo ge= neral del presente trabajo es analizar las diferentes formas en que las estrategias <= span class=3DSpellE>metacognitivas contribuyen en el razonamiento lógico = y la resolución de problemas matemáticos en los estudiantes de la Carrera Pedago= gía de la Matemática y la Física en la Universidad Técnica Luis Vargas Torres de Esmeraldas.

Para el cumplimiento del objetivo general se establecen objetivos específicos a cumplir:<= /span>

·         Conceptualizar desde la teoría a las estrategias metacognitivas y su funcionalidad en el contexto universitario.

·         Identificar los factores que dificultan el razonamiento lógico y resolución de problemas matemáticos en los estudiantes de la Carrera Pedagogía de la Matemática y la Física.

·         Establecer un diagnóstico acerca de las estrategias metacognitiva= s que utilizan los docentes con los estudiantes de la Carrera Pedagogía de la Matemática y la Física.

·         Identificar la metodología que aplican los docentes para desarrollar el razonamiento ló= gico matemático y resolución de problemas matemáticos con los estudiantes de la = Carrera Pedagogía de la Matemática y la Física.

El presente tr= abajo de investigación parte de la línea de investigativa: la gestión curricular, pedagogía y didáctica en los diferentes niveles y campos de la educación.

Es importante analizar y entender, las diferentes estrategias de enseñanza-aprendizaje qu= e se pone en práctica a diario con los estudiantes, qué origina falencias en la adquisición de nuevos conocimientos, por tal razón, es necesario que los estudiantes puedan ser participantes de su autoaprendizaje mediante la investigación científica y la resolución de problemas matemáticos relaciona= dos con el diario vivir; para esto, el docente debe estar atento para ser un difusor, motivador y protagonista del conocimiento, por lo que es importante que renueve su estrategias y técnicas de enseñanza, estimulando en el estudiante, el interés por ilustrarse, capacitarse, y este presto ante las necesidades de este mundo globalizado

Es necesario t= ener en cuenta que el proceso de enseñanza-aprendizaje de la mayoría de estudian= tes en el campo de la Matemática, se ha orientado en ser transitorio por varios factores como: el estudiar por aprobar y no para aprender, por no responder= a las necesidades básicas del estudiante, escasa práctica de problemas matemáticos, estudiar de memoria; cada una de estas razones suelen afectar = en el conocimiento de cada estudiante.

Al empezar los estudios del segundo Postgrado en la Universidad Técnica Luis Vargas Torres= de Esmeraldas, se empieza a profundizar en la investigación de la didáctica de= la Matemática, sus diferentes procesos de enseñanza-aprendizaje y su impacto e= n el rendimiento académico; para efectos de este trabajo, nos centralizamos en un aspecto del aprendizaje sistemático: las estrategias m= etacognitivas y su efecto en el razonamiento lógico en los estudiantes de pedagogía.=

En este trabaj= o de investigación, existe un conexión viable y factible entre las dos variables= , se complementan una de otra porque dependen del trabajo e interés que pone cada estudiante para aprender y potencializar su conocimiento, generando una comprensión duradera que perdure y pueda ser llevado a la práctica mediante= el razonamiento lógico en cada uno de sus procesos académicos.

Por lo tanto, a través del presente trabajo se busca exteriorizar una vía en cuanto a la formación de los estudiantes, para que éstos puedan desarrollar habilidades= que le permitan forjar sus propios conocimientos por medio de la aplicación continua y persistente de, estrategias, herramientas y momentos que conllev= en a mejorar la integración de contenidos académicos matemáticos, ilustrando y aprobando su experiencia de manera independiente lo que ha aprendido.<= /o:p>

Bases teóricas=

En los últimos= años en el sector educativo, la aplicación de las estrategias metacognitivas ha cobrado fuerzas al ser consideradas estrategias didácticas con mayor contribución al proceso de adquisición de nuevos conocimientos que favorece= n al desarrollo de las destrezas y razonamiento lógico en el área de la Matemáti= ca.

Durante el pro= ceso de enseñanza-aprendizaje al realizar una acción cognitiva, se realizan mecanismos de autorregulación, investigación y gestión de la información.

Definición de metacognición=

El término está relacionado con la toma de conciencia y el autocontrol del acto de aprender= , es aprender sobre el proceso de aprendizaje o la apropiación y dominio de los recursos internos en relación con los objetos externos. La metacognición es la capacidad del ser humano para monitorear y autorregular los procesos cognitivos, la conciencia bajo las múltiples acepciones de esta palabra (Regader, 2016). Aunque este concepto se ha llamado metacognición hace algun= as décadas, los teóricos de la psicogenética, especialmente, Piaget & Vygo= tsky (1962= ), han explorado ampliamente los principios metacognitivos. Piag= et, quien fue la fuente de los estudios de Flavell,= en su teoría de las fases del desarrollo del pensamiento, subyace en los principi= os metacognitivos, al hablar de la teoría de la génesis = y el equilibrio, deja claro el proceso continuo y progresivo de adaptación al me= dio, que se refiere al constante reajuste de las estructuras mentales a las transformaciones externas, hacia una adaptación cada vez más precisa a la realidad concreta o virtual (Mevarech & Kramarski, 2017; Hidalgo, 2022).

Los autores se refieren a que la metacognición es también un p= roceso cognitivo. De acuerdo con Hernández = (2018)= , esta se logra= en la fase de operaciones formales (a partir de los 12 años), cuando se conquista= un pensamiento abstracto y complejo, cuando se marca el fin de las operaciones construidas, el pensamiento pasa de la observación a la búsqueda de compren= sión de los procesos de transformación, adquiere la capacidad de pensar sobre los pensamientos de otras personas, pero también sobre sus pensamientos, lo que evoca una acción metacognitiva.

A la luz de la teoría de Vygotsky, el desarrollo del pensamiento, basado en el desarrollo = del lenguaje, puede interpretarse como el primer requisito para la mejora de las capacidades metacognitivas (Iriarte & Sierra, 2011). Desde las consideraciones de Flavell (1984, citado por La= nz, 2012), este teórico propone una enseñanza en la que deberían incluir explícitamente métodos de autorregulación que permitan al sujeto controlar y supervisar el= uso de sus recursos cognitivos. Por lo que el concepto de = metacognición se extiende más allá de la conciencia del aprendizaje, se trata de un nivel= de pensamiento más complejo, relacionado con el control de los mecanismos de aprendizaje.

Al cruzar la t= eoría de estos tres autores de referencia de Flavell<= w:Sdt Citation=3D"t" ID=3D"-1370226910"> (1984 ), Piaget (1973)= y Vygotsky (1979); se destaca el concepto de metacognición como mo= delo de acción, que se constituye a medida que el sujeto desarrolla esta capacid= ad de madurar su pensamiento. Por lo tanto según Lanz (2012), las grandes habilidades que rigen las acciones metacognitivas del aprendiz requieren el uso de mecanismos cerebrales muy complejos, que resul= tan en la planificación, verificación, seguimiento, revisión y evaluación de los logros cognitivos.

= Estrategias = Metacognitivas

Las estrategias cognitivas pueden definirse como comportamientos planificados que seleccion= an y organizan mecanismos cognitivos, afectivos y motrices con el fin de enfrent= arse a situaciones-problema, globales o específicas, de aprendizaje (Barreto & Iriarte, 2017), mientras q= ue Ahedo & Danvila (2013), define a las  estrategias como las responsables de una función primordial en todo proceso de aprendizaje, faci= litar la asimilación de la información que llega del exterior al sistema cognitivo del sujeto, lo cual supone gestionar y monitorear la entrada, etiquetación-categorización, almacenamiento, recuperación y salida de los datos.

= Estrategias didácticas

Las estrategias didácticas son técnicas que utilizan los profesores para ayudar a los estudiantes a desarrollar sus conocimientos. Estas técnicas son fundamental= es para extraer el mejor desempeño del aprendiz, ayudándolo a adquirir y fijar= los contenidos que se le enseñan (Guevara, 2017). 

Con base en es= te supuesto de la Torre et al. (2010), expanden este concepto a estrategia de enseñanza y aprendizaje, considerándolas como los medios utilizados por parte del docente para facilitar el proceso de aprendizaje de los aprendices.

Se entiende, entonces, que las estrategias didácticas son técnicas que puede agregar val= or en los procesos de formación y en las que sólo tendrán relevancia si están directamente vinculadas a los objetivos previstos.

= Tipos de estrategias didácticas

A la hora de e= legir una estrategia de enseñanza, se debe analizar si realmente es adecuada para= ese contenido y si puede llegar, de forma positiva, a la mayoría de los estudia= ntes del aula. También hay que considerar la edad de los estudiantes, el grado e= n el que se encuentran, capacidades intelectuales y habilidades psicomotoras (Espacio Europeo de Educación Superior, 2012). Esto significa que una estrategia adecuada para un grupo no siempre es adecuada para otro.

El docente no = debe olvidar que, para adoptar una estrategia de enseñanza, es importante conoce= r al estudiante y sus características. En este caso, se deben realizar valoracio= nes diagnósticas, que tienen como objetivo analizar los conocimientos previos y destrezas de los estudiantes antes de iniciar cualquier actividad (Rumiche, 2013). Si un estudiante no tiene conocimient= o de un tema en particular, no se le puede exigir que sea capaz de resolver un problema sobre el tema.

= El pensamiento

Allueva & Alejandre (2017), manifiesta qu= e, el pensamiento es la actividad y creación de la mente; dícese de todo aquello = que es traído a existencia mediante la actividad del intelecto. El término es c= omúnmente utilizado como forma genérica que define todos los productos que la mente p= uede generar incluyendo las actividades racionales del intelecto o las abstracci= ones de la imaginación; todo aquello que sea de naturaleza mental es considerado pensamiento, bien sean estos abstractos, racionales, creativos, artísticos.=  

Ra= zonamiento lógico

El razonamiento lógico implica la capacidad de resolver problemas a través de la abstracció= n, la anticipación, la planificación; Chaparro et al. (2018), han manifesta= do lo siguiente:

Un razonamiento lógico, en definitiva, es un proceso mental que implica la aplicación de la lógica. A partir de esta clase de razonamiento, se puede partir de una o de varias premisas para arribar a una conclusión que puede determinarse como verdader= a, falsa o posible. (p. 4)

= La = metacognición en la enseñanza-aprendizaje de la matemática=

La utilización= de las estrategias de metacognitivas en el estudio= de la matemática permite que los estudiantes puedan controlar su propia comprensi= ón, que se detecte errores y se controlen los saberes previos y se regule el aprendizaje. Entre las estrategias de proceso que hacen al desarrollo de la= metacognición, se encuentran la planificación, la rev= isión y la regulación. La planificación permite organizar y comprender más fácilm= ente el material de estudio; la revisión requiere de un estándar de comparación = que guía el proceso para alcanzar la meta, y la regulación describe cómo los estudiantes monitorean y controlan sus procesos cognitivos Blanco et al. (2015). 

Metodología

El paradigma d= e la investigación se centró en el positivismo, la cual conllevó a un enfoque cuantitativo, analítico, racionalista, sistemático científico (Ramos, 2015 ). Por lo tanto, la aplicaci= ón de un paradigma positivista sustentará a la investigación, por medios de datos estadísticos, expresando estos a través de tablas y gráficos.

En este aspect= o la investigación será cuantitativa porque permitirá obtener datos precisos relacionados con las deficiencias que presentan los estudiantes de la Carre= ra Pedagogía de la Matemática y la Física en el desarrollo de pensamiento lógi= co matemático, para su posterior análisis e interpretación del comportamiento = de la muestra de estudio.

Método de investigación= =                     =

En el desarrol= lo de la investigación se aplicó el método de investigación descriptivo, puesto q= ue permitió definir, clasificar, catalogar el objeto de estudio (Fernández &am= p; Baptista, 2014). De igual forma la investigación tiene un enfoque cuantitat= ivo, porque implicó el uso de estadísticas y herramientas matemáticas para obten= er resultados. Su propósito será decisivo, porque intentará cuantificar el problema y comprender la amplitud del problema buscando resultados predecib= les para una población mayor.

Sin embargo, p= ara llevar a cabo este tipo de investigación fue necesario integrar otros métod= os como:

·         El teórico, porque a través de la revisión de la teoría se establecen argument= os y fundamentos relevantes que dan sentido al objeto sujeto de estudio, además = de reforzarse con la recolección de datos en el campo. 

·         Análisis de síntesis, porque permitió describir cada uno de los medios utilizados pa= ra manipular la información necesaria para el desarrollo de la investigación. Considerando el análisis temático, el semántico y el de tratamiento estadístico, para establecer las conclusiones en función de ello. 

·         Histórico lógico, este método consintió en estudiar datos de investigación desde una perspectiva histórica, para poder establecer una comparación entre datos obtenidos en estudios anteriores con los reflejados con la investigación ac= tual y así poder contrastarlos en la discusión de resultados. 

·&nb= sp;        Validación de expertos, este implicó la selección de dos expertos, quienes tenían la responsabilidad de mejorar la calidad de la encuesta a aplicar a población = de estudio. Es por ello por lo que se consideraron algunos criterios de selecc= ión:

1)&n= bsp;     Especialistas que laboren en la casa de estudio (Universidad Luis Vargas Torres de Esmera= ldas).

2)&n= bsp;     Tener más de 3 años ejerciendo como docente en la universidad. =

3)&n= bsp;     Firmar el consentimiento.

Pr= ocedimiento de recolección de datos

Se aplicará la técnica de la encuesta a los estudiantes de la Carrera Pedagogía de la Matemática y la Física de la Universidad Luis Vargas Torres de Esmeraldas, = que facilitarán el análisis sobre la influencia de las estrategias metacognitivas en el desarrollo del razonamiento lógi= co, en los estudiantes de la Carrera de la Pedagogía de las Matemática y la Física= .

El diseño del cuestionario de la encuesta se compuso por preguntas estructurados relacion= adas con las variables del estudio, lo que permitirá analizar la información de = una manera más equilibrada, objetiva y sencilla (Hernández, 2018).

El muestreo es= de tipo intencional, donde la muestra es una pequeña parte de los elementos de= la población que comparten características similares y a los cuales se aplicará los instrumentos de recolección de datos, es este caso por contar con una población limitada, no será necesario el cálculo de una muestra pues se tra= bajó con el 100% de la población, puesto que la información que aporten todos los integrantes, lo cual es de vital importancia para el desarrollo del proyect= o.

Tabla 1

 Muestra

Población

Numero poblacional

Estudiantes de 5 nivel

10=

Estudiantes de 6° nivel

15=

Estudiantes de 7° nivel

15=

Total, población de estudio =

40=

Resultados

Para realizar = el análisis sobre la influencia de las estrategias metaco= gnitivas en el desarrollo del razonamiento lógico, se presentan los resultados obten= idos luego de aplicar la encuesta a 40 estudiantes cursantes del 5° al 7° nivel = de la Carrera Pedagogía de Matemática y la Física de la Universidad Luis Vargas Torres de Esmeraldas, encontrando lo siguiente:

1)&n= bsp;     ¿Es bueno descomponer un problema para resolverlo?

Tabla = 2

Es bueno descomponer un problema para resolverlo<= /span>

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

5

12%

Cs

15

37%

Pv

13

33%

N

7

18%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En relación con si es bueno descomponer un problema para resolverlo los estudiantes indicaron: el 37%, manifestó que casi siempre es bueno descomponer un problema matemático para poder resolverlo, lo cual favorece al desarrollo de las estrategias aplicad= as.

2)&n= bsp;     ¿Imagino el problema para decidir cómo resolverlo?

Tabla 3

Imagino el problema para d= ecidir cómo resolverlo

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

12

30%

Cs

13

32%

Pv

15

38%

N

0

0%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En cuanto a si imagina el problema para decidir cómo resolverlo, los encuestados manifesta= ron: el 38% pocas veces; lo cual evidencia el aprendizaje mecánico que tienen los estudiantes para resolver problemas matemáticos.

3)&n= bsp;     ¿Antes de empezar a solucionar un problema, me planteo preguntas sobre el tema?

Tabla 4

Antes de empezar a solucio= nar un problema, me planteo preguntas sobre el tema

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

9

22%

Cs

18

45%

Pv

13

33%

N

0

0%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En relación co= n si antes de solucionar un problema se plantean algunas preguntas, los estudian= tes señalaron: el 45% casi siempre; resultados que manifiestan el poco uso de estrategias de procesos para resolver problemas matemáticos.

4)&n= bsp;     ¿Necesita leer más cuando el problema a resolver es más difícil?

Tabla 5

Necesita leer más cuando el problema a resolver es más difícil

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

23

57%

Cs

13

33%

Pv

4

10%

N

0

0%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En lo concerni= ente a si necesita leer más cuando el problema a resolver es más difícil, los estudiantes opinaron: el 57% siempre; resultados que expresan lo conveniente que resulta leer más de una vez para procesar los datos concernientes al problema matemáticos a resolver.

5)&n= bsp;     ¿Sabe qué pasos debe seguir para resolver un problema matemático?

 

 <= /o:p>

 <= /o:p>

Tabla 6

Sabe qué pasos debe seguir= para resolver un problema matemático

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

8

20%

Cs

18

45%

Pv

14

35%

N

0

0%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En referencia = a si sabe qué pasos debe seguir para resolver un problema matemático, los estudiantes manifestaron: el 45% casi siempre; resultados que demuestran que una mayoría de estudiantes saben que pasos deben seguir para resolver probl= emas matemáticos.

6)&n= bsp;     ¿Normalmente es consciente si un tema lo ha aprendido o no?

Tabla 7

Normalmente es consciente = si un tema lo ha aprendido o no

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

9

22%

Cs

18

45%

Pv

13

33%

N

0

0%

Total

40

100%

Nota: Encuesta a estudiantes de la Universidad Luis Vargas Torres

En referencia = a si normalmente es consciente sobre si ha aprendido un tema o no, los estudiant= es expresaron: el 45% casi siempre, en esta pregunta los estudiantes están consiente de su nivel de aprendizaje para resolver problemas matemáticos.

7)&n= bsp;     ¿Aplica estrategias aprendidas en Matemática para resolver problemas de otras cienc= ias?

Tabla 8

Aplica estrategias aprendi= das en Matemática para resolver problemas de otras ciencias

Ítems

Frecuencia<= /p>

Porcentaje<= /p>

S

6

15%

Cs

9

23%

Pv

10

25%

N

15

38%

Total

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En cuanto a si aplica estrategias aprendidas en Matemática para resolver problemas de otras ciencias, los estudiantes indicaron: el 38% nunca; es preocupante la no aplicación de estrategias para resolver problemas en otras ciencias relacionadas en su especialidad.

8)&n= bsp;     ¿Sabe que aprendió cuando puede explicar otros temas?

Tabla 9

Sabe que apr= endió cuando puede explicar otros temas<= /span>

Ítems

Si

No

Total

Frecuencia =

35

5

40

Porcentaje<= /p>

88%

13%

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

Respecto a si = sabe que aprendió cuando puede explicar otros temas, los estudiantes expresaron:= el 87% sí, en esta pregunta los estudiantes demuestran seguridad en lo aprendi= do con relación nuevos temas del pensum académico.

9)&n= bsp;     ¿Cuándo va a empezar una tarea se pregunta qué quiere lograr?

Tabla 10

Cuando voy a empezar una t= area me pregunto qué quiero lograr

ITEMS

SI

NO

Total

FRECUENCIA =

13

27

40

PORCENTAJE<= /b>

33%

68%

100%

Fuente: Encuesta a estudiantes de la Universidad Luis Vargas Torres

Respecto a si = se pregunta qué quiere lograr al momento de empezar una tarea, los estudiantes señalaron: el 68% no, frente al 32% expresó sí.

10)&= nbsp; ¿Al finalizar las tareas se plantea si ha logrado los objetivos o no?

Tabla 11

Al finalizar las tareas se plantea si ha logrado los objetivos o no

ITEMS

SI

NO

Total

FRECUENCIA =

9

31

40

PORCENTAJE<= /b>

23%

78%

100%

Nota: encuesta a estudiant= es de la Universidad Luis Vargas Torres

En referencia = a si al finalizar las tareas se plantea si ha logrado los objetivos, los encuest= ados señalaron: con un 78% no, en esta pregunta los estudiantes aseveran que su aprendizaje es mecánico, aprender para aprobar más no aprender para aprender resolver problemas matemáticos.

11)&= nbsp; ¿Controla el tiempo que ut= iliza para resolver su trabajo en clase?

Tabla 12

Controla el tiempo que uti= liza para resolver su trabajo en clase

ITEMS

FRECUENCIA<= /b>

PORCENTAJE<= /b>

S

6

15%

CS

9

23%

PV

14

35%

N

11

28%

TOTAL <= /p>

40

100%

Fuente: Encuesta a estudiantes de la Universidad Luis Vargas Torres

En referencia = a si controla el tiempo que utiliza para resolver su trabajo en clase, los estudiantes indicaron: el 35% pocas veces; con relación a esta pregunta los estudiantes le restan importancia al adecuado trabajo que permite aprender = más con poco esfuerzo.

12)&= nbsp; ¿Utiliza estrategias que l= e han servido normalmente para aprender Matemáticas?

Tabla 13

Utiliza estrategias que le= han servido normalmente para aprender Matemáticas

ITEMS

 <= /p>

SI

NO

Total

FRECUENCIA =

 

12

28

40

PORCENTAJE<= /b>

 

30%

70%

100%

Fuente: Encuesta a estudiantes de la Universidad Luis Vargas Torres

En lo concerni= ente a si utiliza estrategias que le han servido normalmente para aprender Matemáticas, los encuestados manifestaron: con un 70% no, la no aplicación = de estrategias de procesos que conlleven al desarrollo de las estrategias metacognitivas dificulta la resolución de problemas matemáticos. 

13)&= nbsp; ¿Para resolver un problema matemático, primero diseño un plan de resolución?

Tabla 14

Para resolver un problema matemático, primero diseño un plan de resolución

ITEMS

 <= /p>

FRECUENCIA<= /b>

PORCENTAJE<= /b>

S

 

10

25%

CS

 

13

33%

PV

 

14

35%

N

 

3

8%

TOTAL <= /p>

 

40

100%

Fuente: Encuesta a estudiantes de la Universidad Luis Vargas Torres

En cuanto a si diseña un plan de resolución al momento de resolver un problema matemático,= los estudiantes consideraron: con el 35% pocas veces; el 32% Casi siempre; con = el 25% Siempre y con el 8% Nunca.

14 ¿Cuáles metodologías son aplicadas por los docentes con más frecuencia para resolver un problema matemático?

Tabla 15

Metodologías aplicadas por= los docentes con más frecuencia para resolver un problema matemático.

ITEM

S

CS

PV

N

TOTAL

PORCENTAJE<= /b>

Expositiva<= /b>

32

8

0

0

40

80%

Aprendizaje cooperativo<= /o:p>

0

0

15

25

40

38%

Aprendizaje basado en proyect= o

0

0

12

28

40

30%

Gamifica= ción

0

0

0

40

40

100%

Aula invertida

0

0

0

40

40

100%

Nota: encuesta a estudiantes de la Universidad Luis Vargas Torres

En cuanto Metodologías aplicadas por los docentes con más frecuencia para resolver un problema matemático, los estudiantes consideraron: con un 80% siempre las expositivas; es evidente el escaso empleo de las diferentes estrategias en = el proceso de la enseñanza y aprendizaje de la Matemática para la resolución de problemas matemáticos aplicando el razonamiento lógico con este grupo de estudiantes.

Discusión

En el presente= artículo sobre el impacto de las estrategias metacognitivas en el razonamiento lógico y la resolución de problemas matemáticos en educando= s de la Universidad Técnica Luis Vargas Torres de Esmeraldas en la especialidad = Pedagogía de la Matemática y la Física, se ha observado que hay escaso uso de estas estrategias en la enseñanza de las asignaturas de Matemática y Física para = este grupo de estudiantes. Esto se evidencia a través de un análisis comparativo individualizador, donde se utilizan comparaciones personales de estudios seleccionados para identificar sus características respectivas.<= /span>

Los resultados obtenidos concuerdan con los planteamientos de los autores, y reflejan una falta de oportunidades para los estudiantes en el uso de estas estrategias, similar a lo mencionado por Pacheco (2019)= , en su investigación, donde señala que la población estudiada carece de suficientes fundamentos teóricos y prácticos sobre estrategias met= acognitivas. Los docentes, siendo los principales impulsores de la implementación de est= as estrategias, no lo hacen debido a la falta de conocimiento sobre cómo lleva= rlas a cabo en la práctica. Por lo tanto, el investigador propone como orientaci= ón para los docentes disponer de una guía, la cual contenga estrategias metacognitivas, así como su instrucción, la práctica guiada, cooperativa e individualizada, entre las cuales destaca el trabajo cooperativo, como estrategia de coincidencia en el análisis de este estudio= .

Al considerar = los elementos que obstaculizan el razonamiento lógico y la resolución de problemas en los= aprendices que contempla esta especialidad, se pueden identificar varios aspectos. Ent= re ellos se encuentran la falta de diseño de un plan de resolución, la ausenci= a de utilización de la descomposición, la poca o escasa utilización de las estrategias aprendidas, la falta de claridad en los objetivos que se preten= den alcanzar al resolver un problema y la incapacidad de gestionar adecuadament= e el tiempo durante la resolución de tareas en clase.

Estos resultad= os difieren significativamente de los obtenidos por Quintero & Muriel (2020), quienes señal= aron que su grupo de estudio tiende a realizar de manera consciente procesos de monitoreo, analizando diferentes soluciones para un problema y conservando = un conocimiento orientado hacia la situación planteada. Dentro de este grupo, = los autores identificaron la aplicación de estrategias met= acognitivas como la auto instrucción, el dominio del entorno de trabajo, la instauració= n de imágenes mentales, control en el tiempo ejecutado y la motivación.

Conclusiones

·         En relación con el objetivo principal de este estudio, se puede afirmar que las estrategias metacognitivas tienen una contribuc= ión limitada debido a su escasa implementación de parte de los docentes y, como resultado, su baja aplicabilidad por los aprendices. Por lo tanto, es neces= ario obtener más información sobre estas estrategias, ya que esto permitirá mejo= rar la enseñanza y el aprendizaje en referencia a los contenidos algebraicos, lo cual se traducirá en la producción de resultados superiores.

·         Según el primer objetivo específico, es importante destacar que estas funciones desempeñan un papel fundamental en el proceso de aprendizaje al facilitar la comprensión de la información que ingresa al sistema cognitivo del individuo desde el entorno externo. Esto implica manejar y supervisar la entrada, clasificación y categorización, acumulación, recuperación y salida de información, lo que ayuda a los aprendices a planear, controlar y evaluar s= u avance, asumiendo el compromiso de controlar su aprendizaje mientras participan en actividades de lectura, escritura y resolución de problemas en el aula=

·         En cuanto al segundo objetivo que aborda la identificación de los obstáculos q= ue impiden con facilidad el razonamiento lógico y la resolución de problemas en este grupo de estudiantes, se mencionaron algunos aspectos relevantes. En cuanto a los factores externos, se destacó que los profesores suelen utiliz= ar predominantemente metodologías expositivas. Por otro lado, en relación con = los factores internos, se identificaron situaciones como la falta de elaboració= n de un plan previo para abordar los problemas, la falta de utilización de técni= cas de descomposición, la falta de aplicación de estrategias aprendidas, la fal= ta de claridad sobre los objetivos que se busca alcanzar al resolver un proble= ma y la dificultad para gestionar adecuadamente el tiempo durante la resolución = de tareas en clase.

·         En referencia al tercer objetivo, los resultados obtenidos sugieren que las estrategias mencionadas no son aplicadas con regularidad, ya que, si fuese = así, los educandos habrían mencionado algunas acciones específicas. Estas accion= es incluirían la capacidad de imaginar el problema para determinar cómo aborda= rlo, plantear preguntas antes de resolverlo, relacionar conocimientos previos, la descomposición del problema planteado para luego resolverlo y formular preguntas para evaluar si se ha logrado el objetivo propuesto o no.

·         En relación con el último objetivo específico, se observó que la estrategia más empleada es la enseñanza expositiva, seguida ocasionalmente por el aprendiz= aje cooperativo. Esto plantea un motivo innegable para la actitud de los estudiantes de la Universidad Técnica Luis Vargas Torres de Esmeraldas, qui= enes muestran una tendencia a enfocarse en aprobar las asignaturas en lugar de b= uscar un verdadero aprendizaje.

Conflicto de intereses<= /o:p>

Los autores declaran que no existe conflicto de interese= s en el artículo Gemelos Parápagos Dicéfalos: Reporte de caso.

Referencias Bi= bliográficas

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 = ;

 = ;

 

 

 

 

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