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Balanza virtual como estrategia de aprendizaje, de ecuaciones de primer grado con una incógnita=

Virtual balance as= a learning strategy of first-degree equations with one unknown

 <= /span>

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1

Jessica Viodelda Imaicela Sarango<= /span>             https://orcid.org/0000-0002-0= 894-0350

Universidad Católica de Cuenca, Azogues- Ecuador

jessica.imaicela.49@est.ucacue.edu.ec

 

2

Marcelo Javier Sota= minga Cinilin     =           https://orcid.org/0000-0003-4250-906X=

Universidad Católica de Cuenca, Azogues- Ecuador

marcelo.sotaminga@ucacue.edu.ec

 

3

Sandra Elizabeth Mena Clerq= ue              = h  https://orcid.or= g/0000-0002-9186-2161

Universidad Católica de Cuenca, Azogues- Ecuador

sandramena@ucacue.edu.ec

 

 

 

 

 

 

Artículo de Investigación Científica y Tecnológica

Enviado: 09/07/2022

Revisado: 19/08/2022

Aceptado: 27/09/2022

Publicado:  06/10/2022

DOI: https://doi.org/10.33262/= ap.v4i4.1.291

<= span lang=3Des-419 style=3D'font-size:12.0pt;line-height:115%;font-family:"Tim= es New Roman",serif; mso-fareast-font-family:Calibri;color:blue;mso-ansi-language:#580A'>=  

 

 

Cítese:

 

 

Imaicela<= /span> Sarango, J. V., Sotaminga Cinilin, M. J., & Mena Cle= rque, S. E. (2022). Balanza virtual como estrategia de aprendizaje, de ecuacion= es de primer grado con una incógnita. AlfaPublicaciones= , 4(4.1), 79–97. https:/= /doi.org/10.33262/ap.v4i4.1.291

 

 

 

ALFA PUBLICACION= ES, es una Revista Multidisciplinar, Trimestral, que se publicará en soporte electrón= ico tiene como misión contribuir a la   formación de pr= ofesionales competentes con visión humanística y crítica que sean capaces de exp= oner sus resultados investigativos 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) ww= w.celibro.org.ec

 

 

 

Esta revista está protegida bajo una licencia Creative Commons AttributionNonCommercialNoDerivatives 4.0 Internati= onal. Copia de la licencia: ht= tp://creativecommons.org/licenses/by-nc-nd/4.0/

 

Palabras claves:

Matemáticas

Algebra

Ecuación

Método de aprendizaje

Innovación pedagógica

 

 

 

 

Resumen

La investigación busca que el aprendizaje de las matemáticas en si sea un poco más atractiva hacia el estudiante a la hora de resolver ecuaciones de primer grado con una incóg= nita, es muy común que los estudiantes al ingresar, al nivel superior de educac= ión general básica presenten múltiples dificultades ya que no solo tienen que resolver números si no también letras, y para minimizar este problema se = tuvo como objetivo aplicar la balanza virtual como estrategia para el aprendiz= aje de ecuaciones de primer grado con una incógnita de los estudiantes de oct= avo año de la Unidad Educativa “José María Velasco Ibarra”. La Investigación = es de tipo cuasi experimental ya que estudia un antes (pre= test) y después (postest) de aplicar el recurso vir= tual, tiene un enfoque cualitativo ya que se valora el puntaje total del test de conocimiento del cual se obtuvo como resultados un bajo porcentaje de ava= nce en el aprendizaje de las ecuaciones de primer grado con una incógnita, co= nsiderando que fue aplicado en una institución del sector rural y en dos momentos, p= ara obtener un mejor resultado de la investigación, se debería extender el ti= empo de aplicabilidad, a pesar de ello se identifica que los estudiantes mejor= an algunas dificultades de identificación de términos y resolución de operaciones co= n ecuaciones de primer grado con una incógnita de enteros positivos y negativos.<= /o:p>

 

 

Keywords:

Mathematics

Algebra

Equations=

Learning metho= ds

Teaching method innovations

 

Abstract

The research seeks that the learning of mathematics itself be a little more attractive to the student when solving first degree equations with o= ne unknown, it is very common for students to enter the upper level of basic general education present multiple difficulties since they not only have = to solve numbers but also letters, and to minimize this problem, the objecti= ve was to apply m the virtual scale as a strategy for learning first-degree equations with an unknown of the eighth-year students of the Educational = Unit Jose Maria Velasco Ibarra. The research is of a quasi-experimental type s= ince it studies a before (pretest) and after (posttest) of applying the virtual resource, it has a qualitative approach since the total score of the knowledge test is valued, from which a low percentage of results was obtained. progress in learning the equations of the first degree with one unknown, considering that it was applied in an institution in the rural sector and in two moments, to obtain a better result of the investigation, the time of applicability should be extended, despite this it is identifi= ed that the students improve some difficulties in identifying terms and solv= ing operations with first degree equations with an unknown number of positive= and negative integers.

 

 

 

 

Introducción.

A nivel mundial una de las problemáticas que ataña a los países subdesarrollados es la educación, debido a diferentes factores ya sean sociales, políticos, económicos o culturales que se reflej= an en la gestión educativa interna con un nivel de aprendizaje relativamente b= ajo que involucra a la parte pedagógica, metodológica o didáctica, que utilizan= los docentes para llegar al estudiante, esto hace que las brechas en cuanto a r= esultados de aprendizajes sean preocupantes por la profunda crisis educativa, la desigualdad en la calidad de educación es un obstáculo latente en el desarr= ollo de las pueblos, los resultados de las pruebas del estudio ERCE 2019 de la UNESCO muestra que el 40% de los países del mundo no han apoyado a la educa= ción  durante la crisis de la pandemia y= con ello contribuyeron al retroceso y estancamiento de los logros de aprendizaj= e en las áreas de lectura, matemáticas y ciencias, minimizando el avance educati= vo (UNESCO, 2022)

En este contexto se puede tomar como muestra= el examen internacional PISA-D 2017 la cual evalúa a estudiantes entre 15 y 18 años que cursan el 8vo año de educación general básica y 3ro de bachillerat= o, en los cuales muestra que en el Ecuador el 71% de estudiantes no superan el ni= vel básico de desempeño en matemática, solo un 22% presentan un alto rendimient= o, la brecha de resultados es abrumadora ya que presenta rezagos escolares con respecto a otros países de la OCDE, Organización para la Cooperación y el Desarrollo Económicos (Parra, 2020).

No obstante en Ecu= ador en los últimos años, la educación matemática como parte constructivista del currículo escolar está enfrentando dificultades ya que el estudiante la ve = como una materia difícil de comprender y se ha basado generalmente en un aprendi= zaje inconsciente de reglas o pasos secuenciales para operar números, símbolos carentes de significados y sin llegar a una comprensión t= otal de su resultado, afectando la continuidad del aprendizaje sin llegar a ser perdurable (Castro &= amp; Tuba, 2015).

Tomando las teoría= s de Piaget (1952, 1970a, 1970b, 1977) y Vygotsky (1962, 1978), citado por Figueira-= Sampaio et al. (2009), “el aprendizaje es un proceso en el cual= los individuos construyen conocimiento a través de la experiencia, el conocimie= nto previo y la interacción social en una relación constante entre factores internos y externos, promoviendo desarrollo cognitivo”.

Es por ello que hoy más que nunca la educación es un factor esencial, específicamente el área de matemática, ya que es una asignatura que está inmersa desde los primeros añ= os de estudio de una persona, sin embargó no inicio desde el sistema educativo= ya que fue empleada por nuestros antepasados, y con el pasar del tiempo fue tomando nombres y formas que inconscientemente con menor o mayor frecuencia usamos las operaciones y los cálculos en las diferentes actividades cotidia= nas de nuestra vida.

Por consiguiente, = el currículo de subnivel superior manifiesta que la matemática como ciencia deductiva, sirve de base para las otras ciencias ya que siempre nos enfrent= amos constantemente a resolver problemas, planificar, seleccionar, tomar decisio= nes, y sin predecirlos, se involucra el pensamiento lógico, el pensamiento inductivo, la modelación y la representación para dar una solución eficient= e a un problema mediante el razonamiento, análisis, sistematización y decisión llevando el aprendizaje a un nivel intuitivo, visual y creativo, ADDIN CSL_CITATION {"citationItems":[{"id":"ITEM-1","itemDa= ta":{"abstract":"Curriculo de los Niveles de Educación Obligatoria. Subnivel Superior","author":[{"dropping-particle":"&qu= ot;,"family":"Ministerio de Educación del Ecuador","given":"","non-dropping-particle&qu= ot;:"","parse-names":false,"suffix":"&qu= ot;}],"container-title":"Currículo 2016","id":"ITEM-1","issued":{"date= -parts":[["2016"]]},"page":"20-23","= ;title":"El Currículo de los Niveles de Educación Obligatoria Subnivel Superior","type":"article-journal","volume&qu= ot;:"2"},"uris":["http://www.mendeley.com/document= s/?uuid=3De5f28b0f-e80e-4249-8bd3-4ebbc0dd114c"]}],"mendeley"= ;:{"formattedCitation":"(Ministerio de Educación del Ecuador, 2016)","plainTextFormattedCitation":"(Ministerio de Educación del Ecuador, 2016)","previouslyFormattedCitation":"(Ministerio de Educación del Ecuador, 2016)"},"properties":{"noteIndex":0},"schema&= quot;:"https://github.com/citation-style-language/schema/raw/master/cs= l-citation.json"}(Minister= io de Educación del Ecuador, 2016).

Cabe destacar que,= en el currículo, el área de matemática esta subdividida en bloques curriculares una de ellas es algebra, en la cual aborda la temática sobre las ecuaciones= de primer grado con una incógnita, que forma parte del plan de estudios del ni= vel de educación general básica superior, y los textos escolares impartidos por= el ministerio de educación, están basados en procedimientos muy formales, por = lo que la enseñanza de las ecuaciones basadas en la materia original y única impide que los alumnos interpreten y analicen otras representaciones más específicas, donde queda claro el papel de cada elemento en la igualdad. En otras palabras, este tipo de enseñanza no permite que los estudiantes parta= n de elementos específicos de su aprendizaje; Esto hace que el tema sea una oportunidad para seguir un proceso mecánico en lugar de analizar el signifi= cado y el concepto de una ecuación (Moreno &= amp; Cobo, 1997).

En este contexto y considerando la realidad actual, en donde la calidad de la enseñanza a nive= l de Latinoamérica está por debajo de los niveles esperados, como docentes debem= os de elevar las aspiraciones y cambiar las estrategias metodológicas de enseñ= anza -aprendizaje con los que se va a dirigir al estudiante. <= /p>

Por estas razones = (UNESCO, = 2016), se explicita que el docente es un intermediario del aprendizaje ya que no es el centro del sistema educativo = si no la base fundamental, ya que cumple un papel importante, como es brindar a los estudiantes las herramientas para poner en práctica las habilidades que cada uno posee, al mismo tiempo que les brinda la experiencia para comprend= er que las matemáticas no son solo una actividad automática, brindan oportunid= ades para enfrentar situaciones desafiantes. competencias, habilidades y conocimientos requeridos que no siguen una fórmula establecida.<= /span>

Debido a ello Hernández= et al. (2010); Cuenca y Santana (2021), manifiestan que el docente usualmente imparte sus clases en base a su experiencia y materiales de apoyo, pero debe considerar, si continuar enseñando las ecuaciones de acuerdo a las instrucciones que emiten los textos tanto del docente y del alumno, están d= ando resultados, ya que en base a los errores, dificultades y concepciones de pa= rte de estudiante emiten una problemática, por ende se debe averiguar qué fuent= es y materiales se pueden utilizar para enseñarlas, y de la misma manera, si los métodos utilizados para enseñarlas son correctos, todo lo anterior son conocimientos adicionales para que los docentes manejen y dominen los conte= nidos en la enseñanza de ecuaciones de primer grado.

Por consiguiente, = para solucionar ecuaciones de primer grado se necesitan estudiantes con habilida= des para establecer relaciones entre las cantidades numéricas, la incógnita y el concepto de igualdad. No sólo es necesario tener claro estos conceptos, sino que también se deben considerar las destrezas y razonamientos que desempeña cada uno de los elementos de la expresión algebraica dentro de la igualdad.=

En consecuencia, ciertos autores, en algunas investigaciones Internacionales, como Saenz (2014), Zamora (2017),  Cuenca y Santana (2021), consideran que es muy importante que el docente haga uso de estrat= egias de enseñanza – aprendizaje, algebraica, que ayuden a superar las dificultad= es, en donde se realicen representaciones simbólicas múltiples, mediante la modelización, dibujos, material concreto, el contexto histórico y las tecnologías. para desarrollar el pensamiento relacional, y con ello comienc= e a encontrar la aplicabilidad de las ecuaciones en situaciones de la vida diar= ia y sea capaz de construir su propio aprendizaje.

De igual forma en investigaciones realizadas= en Ecuador autores como Castro y Tuba (2015)<= !--[if supportFields]>; Paucar (2021) manifiestan que las metodologías optadas por los docentes, no siemp= re son las adecuadas ya que en muchos de los casos transmiten un aprendizaje tradicionalista, y conformista que lleva al estudiante al fracaso escolar, = por consecuente los estudiantes en este proceso deben participar y practicar pr= ocedimientos dinámicos a través de actividades, talleres, estrategias y técnicas didácti= cas que les ayuden a construir su conocimiento de manera dinámica y participati= va, generando curiosidad y deseo por aprender.

Además de ello se requiere de métodos y recursos que ayuden a despertar el desarrollo de capacidades mentales, ya sean deductivas, inductivas, experimentadoras o de análisis, en consecuencia Saenz (20= 14) e Hidalgo (= 2019) proponen el modelo del equilibrio ya que = facilita la asimilación del concepto de ecuación como una ecuación simétrica con incógnitas en ambos lados; obtenido con este modelo las leyes de identidad = de la igualdad a partir de la solución formal de la ecuación. Además, permite = comprender el significado de cada signo y expresión mediante la manipulación de objeto= s y trabajar con desequilibrios.

De hecho, para aprender y comprender las ecuaciones, el estudiante necesita involucrarse, = ya que las matemáticas no son un deporte para espectadores. Actualmente muchas= de las estrategias de enseñanza omiten incluir activamente a los estudiantes, = una manera de aliviar este problema es a través del uso de manipuladores, esto = es, objetos físicos que ayudan a los estudiantes a visualizar relaciones y apli= caciones, ahora, gracias a las computadoras, podemos lograr estos mismos objetivos a través de ambientes educativos virtuales, permitiéndole al estudiante inter= és y motivación por aprender nuevos conocimientos (Acan, 20= 20).

Según Goldberg = y Alon (2016), el uso adecuado de la tecnología puede ayudar en el descubrimiento y desarrollo del conocimiento matemático, la percepción espacial, las habilidades de razonamiento y la comprensión de los principios y conceptos matemáticos. Usar la tecnología nos ayuda a descubri= r horizontes llenos de creatividad los cuales llegan a identificar el cómo desafiar a los estudiantes a pensar fuera de sus ideas equivocadas con respecto a procedimientos y conceptos matemáticos.

En concordancia Martínez = et al. (2014) manifiestan que implementar los juegos ma= nipulables en la enseñanza de las ecuaciones, puede ser un recurso fructífero, siempre= y cuando cumpla una función didáctica en la que los estudiantes desarrollen s= us capacidades relacionales y que preferentemente pueda desarrollarse en un entorno de aprendizaje cooperativo, ya que contribuye a despertar la curios= idad y el disfrute del descubrimiento, fomentando aprendizajes duraderos y significativos.

Por otro lado Abril y H= errera (2021) concluyen que:

“la implementación de estrategias lúdicas y didáctica en los procesos de aprendizaje, transforman el ambiente, brindando beneficios tanto para el docente como para los estudiantes, ya que, el juego inspira al alumno a pensar, crear y recrear con actividades que contribuyen= al desarrollo de la atención y la escucha activa, el seguimiento de instruccio= nes y el compromiso para cumplir reglas, para, de esta manera, comprender en la vivencia y convivencia, la acción y la corrección” (p, 23)

Es por ello que co= mo docentes debemos mejorar las estrategias de enseñanza aprendizaje, utilizad= as en el aula, con la finalidad de no sobrellevar procesos mecánicos ya que el pensamiento algebraico, es una área de dificultad,  para los estudiantes por  la interpretación de conceptos, relacio= nes simbólicas, identificación de términos, ya que no solo es sustituir letras = por números o encontrar el valor de la variable, sino que deben acceder a otro nivel de pensamiento, y a los estudiantes les, es difícil entender que una ecuación,  no se puede resolver com= o una operación normal, porque existe una propiedad de equidad, en la que los sig= nos de operación cambian su significado al cambiar de dominio en la ecuación, y= por ello los estudiantes demuestran frustración, desinterés y con ello bajo rendimiento académico, por ende se deriva el siguiente problema científico: ¿Cómo mejorar el aprendizaje de ecuaciones de primer grado con una incógnita?.

Por lo antes expue= sto, la presente investigación tiene como objetivo= ; Aplicar la balanza virtual como estra= tegia para el aprendizaje de ecuaciones de primer grado con una incógnita con estudian= tes de octavo año de la Unidad Educativa “José María Velasco Ibarra” año lectivo 2021-2022

Se adopta como Objeto de estudio; El proc= eso de enseñanza aprendizaje de ecuaciones de primer grado con una incógnita, y se asume como campo de acción= : El aprendizaje de ecuaciones lineales con una incógnita de estudiantes de octa= vo año de la Unidad Educativa “José María Velasco Ibarra” año lectivo 2021-202= 2

Metodolo= gía.

El presente trabajo de investigación, es realizado mediante un diseño cuasi experimental, de carácter epistemológico= cuantitativo, y de corte longitudinal, tomando como referente a (Bono-Cabre, 2012), manifiesta que el objetivo de todos los estudios es obtener informaci= ón consistente, precisa y generalizable sobre la efectividad de un tratamiento= o programa, evaluando la veracidad o validez de algo que nos permita concluir sobre el tamaño y alcance de los resultados, a través de ello poder derivar conclusiones, además considera que la estrategia longitudinal, constituye u= no de los instrumentos mas potentes aplicados a es= tudios de las ciencias social y del comportamiento.

Es por ello que el estudio se llevó a cabo m= ediante la aplicación de un tes en dos momentos, antes y después de trabajar el recurso y así poder demostrar el efecto o acción que= tomó la balanza virtual como estrategia en el aprendizaje de las ecuaciones line= ales con una incógnita, para ello; se utilizó el método Inductivo que sirvió de = base para poder identificar el problema de investigación, además llevar acabo la recopilación de información y analizar cada una de las investigaciones nacionales e internacionales, luego se tomó el método deductivo para poder inferir y llegar a una conclusión de los resultados, para luego realizar una propuesta significativa, para llevar a cabo el procesamiento de la informac= ión y realizar el análisis estadístico se usó el software IBM SPSS (19). <= /o:p>

La población y la muestra para realizar el trabajo de investigación fueron considerados, los estudiantes de octavo año= de educación general básica, de la Unidad Educativa “José María Velasco Ibarra” de la parroquia Chiguinda, Cantón Gualaquiza, provincia de Morona Santiago, de la cual se tomó a todos los 15 estudiantes= que forman parte de ese año escolar, se debe manifestar que no se cuenta con una gran cantidad de estudiantes, debido a que se desarrolló él trabajó investi= gativo en una institución educativa ubicada en el sector rural, para la obtención = y recolección de la información necesaria a ser estudiada y analizada, se aplicó, un test= de conocimiento, dirigida a los estudiantes en dos momentos un antes de aplica= r el recurso (pretest) basado con la explicación de = una clase tradicional y después (pretest) de aplica= r la balanza virtual, se debe hacer constar que el recurso virtual de aprendizaj= e que se utilizó para la investigación, fue tomado de la página web de la bibliot= eca nacional de manipuladores virtuales de la Universidad Estatal de Utah.

Resultad= os.

Según los resultad= os obtenidos en el test de conocimiento aplicada a los 15 estudiantes <= span lang=3Des-419 style=3D'font-size:12.0pt;line-height:115%;font-family:"Times= New Roman",serif; mso-ansi-language:#580A'>del octavo año de educación general básica, efectu= ándose el estudio en dos momentos un pretest y postest, considerando que en primera instancia se int= ervino el tema de las ecuaciones con una clase tradicional, para luego continuar c= on la intervención de la balanza virtual, desarrollada en dos periodos de clas= es de 40 minutos cada uno, para la aplicación del recurso virtual, se lo desarrol= lo en las instalaciones del laboratorio informático de la institución educativa, = para determinar los resultados se usó el análisis cuantitativo de los datos reco= lectados, con los cuales se verifico la prueba de fiabilidad numérica de las variable= s mediante Alfa de Cronbach, del cual se obtuvo un = resultado de 0,710, demostrando la validación de las 6 preguntas del test de conocimi= ento con un total de 10 puntos cada test, y al aplicar la prueba de normalidad c= on Shapiro-Wilk, se denoto parcialmente que las t= res primeras variables fueron paramétricas y las tres últimas variables no para= métricas.

En tal sentido para determ= inar resultados valederos o no, de la presente investigación se plantearon las siguientes hipótesis:

Ho: la balanza virtual no infiere en el aprendizaje de ecuaciones de primer grado.=

H1: la balanza virtual inf= iere en el aprendizaje de ecuaciones de primer grado.

Con ello para probar la hipótesis se utiliza la prueba T – Student para muestras independientes, analizando los puntajes del total del pretest y postest y así v= erificar el impacto que tuvo en los estudiantes, la balanza virtual con respecto en = el aprendizaje de las ecuaciones de primer grado con una incógnita, para lo cu= al en la tabla 1 y 2 se muestran los resultados obtenidos.

 

 

 

Tabla 1:

Relación entre el puntaje total del pretest y postest de conocimientos

 

Test

N

Media

Desviación = típ.

Error típ. de la media

Total, de la valoración del test=

Pretest

15

6,4727

1,78215

0,46015

Postest

15

7,6160

1,68442

0,43491

Fuente: Elaboración propia.

En la tabla 1 se puede identificar que en lo que respecta al impacto= que tuvo el recurso virtual para el aprendizaje, no se logró percibir un contra= ste significativo al comparar los datos obtenidos en el pr= etest y el postest, ya que la media es de 6,4727 en el pretest y en= el postest es de 7,6160, la diferencia entre las = medias es de 1,1433 aludiendo que no se evidencio mayor diferencia en el aprendiza= je de una clase normal y una clase aplicando la balanza virtual.

Tabla 2:

Prueba de muestras independientes del Pretest y Postest

 

Prueba de Levene para la igualdad de varianzas=

 

F

Sig.

t

gl

Sig. (bilateral)

Diferencia de medias

Error típ. de la diferencia

95% Intervalo de confianza para la diferencia

Inferior

Superior

Total de la valoración del test

Se han asumido varianzas iguales

0,213

0,648

-1,806

28

0,082

-1,14333

0,63316

-2,44030

0,15363

No se han asumido varianzas iguales

 

 

-1,806

27,911

0,082

-1,14333<= o:p>

0,63316

-2,44048<= o:p>

0,15382

Fuente: Elaboración propia.

Por otra parte en la tabla 2 muestra que al realizar la prueba T student sobre el puntaje total del pretest y postest  de conocimiento sobre ecuaciones de primer grado con una incógnita, se evidenc= ia que el nivel de significación bilateral es mayor a 0,05 por lo que se estab= lece claramente, que en el análisis realizado se adopta el planteamiento de la hipótesis Ho, es decir que no infiere la balanza virtual en el proceso de aprendizaje, o por ende se puede inferir que los resultados dejan entrever = que a lo mejor por el corto tiempo de aplicación de la balanza virtual, fue muy pequeña la significación o incremento de los aprendizajes obtenidos por los estudiantes.

Discusión.

Los resultados de la presente investigación mostraron que, al aplica= r la balanza virtual para el aprendizaje de las ecuaciones de primer grado en los estudiantes de octavo año de educación general básica, en parte no subieron= los niveles de aprendizaje de manera significativa, pero si ayudo al estudiante= a reconocer notablemente, por qué  una ecuación es llamada igualdad, porque en sus dos miembros, representados por balanzas siempre debe existir un equilibrio constante, de igual manera Otten et al. (= 2019)  acota= n en su investigación que es importante que el aprendizaje de ecuaciones se lleve con recursos basados con entornos digitales, llevados en tiempo real, ya que ayuden a retroalimentar conocimientos como, la propiedad de la igualdad, ad= emás le permite al estudiante la manipulación directamente de las expresiones algébricas conociendo automáticamente los resultados de su razonamiento efe= ctuado para llegar a una solución valedera y asertiva.

Por esta razón Acan (2020) considera que el recurso didáctico empleado pa= ra el proceso de enseñanza aprendizaje, a lo largo del tiempo se les ha llamado apoyos didácticos, materiales didácticos, medios educativos y herramientas = que utilizan los docentes para facilitar el trabajo pedagógico y lograr el domi= nio de los conceptos y contenidos por parte de los estudiantes, con la única finalidad de despertar el interés de los alumnos y motivarlos a aprender, al igual que la balanza virtual como un recurso de enseñanza utilizado por par= te del docente genera tranquilidad y al estudiante se le observa entusiasmado, con= un gran interés por aprender, sobre todo por ser un recurso educativo de entor= no tecnológico se motivan cada día al querer trabajar y aprender en el laborat= orio informático.

También, Rojano (2= 010) enfatiza que cuando el docente transmite = la enseñanza mediante un modelo concreto, conduce al estudiante a un estado de abstracción y asimilación de actos de lectura/transformación de un nuevo espacio contextual, permitiendo así la evolución de la sintaxis algebraica simbólica, es decir el estudiante descubre por sus propios medios, los principios implícitos de la preservación de la propiedad de la igualdad en = la ecuación ya que al hacer uso de la balanza virtual los estudiantes observan= el principio del equilibrio o la igualdad en cada uno de sus platos de la bala= nza o a su vez la pérdida del mismo, como resultado de sus acciones realizadas = y de manera simultánea aprecia el efecto de las mismas en los elementos de la ecuación.

Al mismo tiempo la balanza virtual al ser un recurso tecnológico innovador permite ser visualmente atractiva a los ojos del estudiante lo cu= al les permitió diferenciar rápidamente los términos que están involucrados en la ecuación, ya que una incógnita y coeficiente positivo estaba representada p= or bloques azules y los negativos representada por globos rojos, logrando personalizarla gráficamente a la ecuación para su resolución llegando a un = aprendizaje significativo, de manera similar González (2016= ) corrobora que la balanza al realizar una representación gráfica y simbólica de las ecuaciones brinda; a los estudian= tes que analicen e interpreten cada elemento de la igualdad, en los dos extremo= s de la ecuación, representados los numero por esferas y las variables por moned= as donde el proceso de enseñanza aprendizaje se da de manera original y única.=

Además, considerar que la balanza al ser representativa permitió que el estudiante razone y reflexione su accionar a= ntes de realizar algún movimiento en la balanza, y considere que operación reali= zar al momento de querer eliminar un numero o una variable de la ecuación, ya q= ue al ingresar un término que no correspondía se evidenciaba inmediatamente qu= e la balanza se desequilibraba, permitiéndole constantemente mejorar sus conocimientos hasta llegar a la solución valedera.

Así mismo Figueira-Sampaio et al. (2009) en su investigación resaltan que la balanza, al presentar un panel visual, muestra constantemente los resultados parciales en cada paso hasta llegar a la solución de la ecuación, lo que le permite al estudiante detect= ar errores y reflexionar sobre la acción a tomar en su próxima operación, permitiéndole una retroalimentación constante de conocimientos; de la misma manera Galeano y Váquiro (2015) identificaron que los estudiantes haciendo uso de la balanza virtua= l, superan algunas dificultades que tienen en la resolución de ecuaciones con = los métodos formales y logran tomar conciencia de lo que se pueden sumar o restar, siempre tomando en cuenta la propiedad de la igualdad.

También es evidente que al hacer uso de un recurso virtuales de aprendizaje para resolver las ecuaciones los estudiantes se motivaron y se incrementó el interés, obtenie= ndo entes activos y preocupados por su aprendizaje, por ende Román (20= 15), concreta que la incorporación del modelo= de la balanza como estrategias de enseñanza permiten la obtención de un aprendizaje significativo, logrando identificar los elementos que conforman= una ecuación y la propiedad de equivalencia, interpretando y resolviendo ecuaci= ones con enteros positivos y negativos de una manera atractiva y perdurable.

Finalmente, manifestar que al obtener los resultados en el análisis estadístico un porcentaje mínimo de cambio en el = nivel de aprendizaje de los estudiantes considerando que se realizó una clase tradicional y una clase aplicando un recurso tecnológico como la balanza virtual, se debe a que al hacer uso de la tecnología con estudiantes del se= ctor rural implica que se requiere, más tiempo de aplicabilidad para obtener may= ores resultados, debido a que por ser estudiantes del sector rural tienen miedos= en cuanto al manejo y utilización de la tecnología, por lo expuesto ADDIN CSL_CITATION {"citationItems":[{"id":"ITEM-1","itemDa= ta":{"author":[{"dropping-particle":"",&= quot;family":"Cerrón","given":"Natalí Patricia","non-dropping-particle":"","parse-n= ames":false,"suffix":""},{"dropping-particle&= quot;:"","family":"Ordoñes","given"= :"Vilma Lurdes","non-dropping-particle":"","parse-nam= es":false,"suffix":""}],"id":"ITEM-= 1","issued":{"date-parts":[["2015"]]},&q= uot;title":"La Educación Rural y las TIC","type":"article-journal"},"uris":[&= quot;http://www.mendeley.com/documents/?uuid=3D79bdc64f-77b8-44ab-881b-07ad= 06b66731"]}],"mendeley":{"formattedCitation":"= ;(Cerrón & Ordoñes, 2015)","plainTextFormattedCitation":"(Ce= rrón & Ordoñes, 2015)","previouslyFormattedCitation":"(Cerrón & Ordoñes, 2015)"},"properties":{"noteIndex":0},"schema&= quot;:"https://github.com/citation-style-language/schema/raw/master/cs= l-citation.json"}(Cerrón &= amp; Ordoñes, 2015) considera que el docente es una pieza cla= ve en el desarrollo de las comunidades rurales, utilizando las limitaciones en oportunidades ya que las tecnologías de la información y comunicación aport= an indudables actividades es por ello que en esta era digital como docentes de= bemos apostar por modelos cognitivos tecnológicos, donde el estudiante se anime a participar directamente y de manera eficaz en la producción de conocimiento= y el docente sea un guía en su exploración.  

A demás se debe dejar asentado  que el recurso virtual de aprendizaje, u= sado para la investigación, solo les permite trabajar y resolver ecuaciones de primer grado de una incógnita con enteros positivos y negativos, no permite= la enseñanza aprendizaje de números racionales como los fraccionarios y decima= les, como también lo indican Galeano y Váquiro (2015) que su propuesta no permite el abordaje de ecuaciones de primer gra= do con raíces negativas y fraccionarias.

Propue= sta.

El cuasiexperimento que versa la presente investigación, luego de los hallazgos encontrados en los resultados con respecto a la aplicación de la balanza virtual como estrategia de aprendiza= je para las ecuaciones de primer grado con una incógnita, se puede lograr un nivel = de aprendizaje significativo siempre y cuando se ejecute esta estrategia de aprendizaje fundamentada en cinco fases, las cuales son: diagnostico, prese= ntación, explicación, ejecución y evaluación, como se muestra en la figura 1. para lo cual seguidamente se explica de forma detallada cada una de las fases menci= onadas.

Figura 1. <= /b>

Fases de aplicación de la balanza virtual

Fuente: Elaboración propia.

Fase de diagnóstico: Cómo punto de partida del proceso, se aplicó un test de conocimiento inicial para diagnosticar= los conocimientos previos que tenía el estudiante en base a una clase tradicion= al sin la intervención de un recurso, sobre la resolución de ecuaciones de primer grado con una incógnita, luego se precedió a analizar y valorar los resulta= dos obtenidos.

Fase de presentación: Se realizó la presentación= de la balanza virtual, a los estudiantes manifestándoles que es un recurso dinámico tecnológico en línea que trabaja enlazado al internet, basado su funcionamiento en el modelo concreto de una balanza tradicional, que antiguamente nuestros progenitores hacían uso para pesar objetos o productos para su venta, la cual ha servido para que algunos autores la usen como mod= elo de representación para resolver problemas, la cual presenta dos platillos u= no en el extremo izquierdo y otro en el derecho, en donde se tiene que ir ubic= ando lo que solicita la ecuación para su resolución.

Fase de Explicación: para llevar a cabo esta fa= se se la realizo en el laboratorio de informática de la institución educativa,= en el cual se usó un proyector para proceder a la explicación de cada una de l= as secciones que involucran en el aprendizaje de la balanza virtual, los cuales son los siguientes:

Conceptualización. – en base a la pantalla principal de la balanza virtual, se reforzó conocimientos básicos y elementos que están inmersos en= una ecuación, como definición, objetivo, partes y componentes de la ecuación. <= o:p>

Figura 2.

Pantalla principal

Fuente: Universidad Estatal de Uta= h

Representación gráfica. – cómo se puede observar la balanza virtual = es un recurso gráficamente entendible, en la cual se indicó que cada termino e= stá representado por un símbolo, la x como incógnita de la ecuación y el 1 representa a los coeficientes numéricos, de la misma manera se mostró que l= os cubos azules representa a los positivos y los globos rojos, identifican a l= os negativos, los cuales deben ir siendo arrastrando con el mouse a los platil= los ya sea izquierda o derecha según indica la ecuación, tomando en consideración = que el platillo izquierdo siempre representa al primer miembro y el platillo derecho, representa al segundo miembro,  llegando a balancear las bandejas, representando en ellas la ecuación dada, para luego dar clic en continuar, si logran identificar que la balanza está en desequilibrio tienen la opción de borrar o a su vez solicitar un nu= evo problema o ecuación.

Figura 3.

Representac= ión de la ecuación

Fuente: Universidad Estatal de Ut= ah

Sistematización. – en esta sección se indicó que se procede ya a realizar las operaciones algebraicas, explicando la propiedad de la igualda= d, es decir que se puede sumar, restar, multiplicar o dividir, pero siempre recalcando que la operación o acción que se realice, procederá en ambos pla= tillos de la balanza o ecuación, considerando que siempre debe mantenerse el equilibrio de la balanza, indicando que si se ingresa una operación que no corresponda automáticamente se observara que la balanza se desequilibrará, = este proceso terminara cuando quede un solo bloque de x en algún platillo ya sea izquierdo o derecho.

 

 

Figura 4.

Resolución de la ecuación

Fuente: Universidad Estatal de Ut= ah

 

Fase de Ejecución: = En esta fase para llevar a cabo la aplicación de la balanza virtual, se utilizó 8 computadoras del laboratorio, en las cuales los estudiantes trabajaron en parejas, al principio tenían temor a la manipulación de los equipos de cómputo, y pesar= de las dificultades y limitaciones en cuanto al manejo de un computador los estudiantes se motivaron y lo supieron superar, en el primer ejercicio todas las parejas fueron desarrollando la ecuación con el acompañamiento del doce= nte de manera secuencial, de cada sección de la balanza hasta llegar a la soluc= ión, los siguientes ejercicios algunos estudiantes ya empezaron a descubrir solo= s la ejecución del recurso, a otros se tenía que retroalimentar cada sección, y = al finalizar se observó que los estudiantes se incentivaron, motivaron cuando resolvieron y encontraron el valor de su primera ecuación solos sin la intervención del docente.

Fase de Evaluación: una vez concluida la fase = de ejecución e intervención del recurso de aprendizaje, el estudiante vuelve a= ser el eje evaluador se volvió a aplicar nuevamente el mismo test de conocimien= to a los 15 estudiantes, con la finalidad de identificar, si la balanza virtual ayudo a subir el nivel de recepción de conocimientos en el aprendiz= aje de las ecuaciones de primer grado con una incógnita.

Conclusiones.

·      =    Aplicar = un recurso como estrategia de aprendizaje como la balanza virtual mejora la concentración, el razonamiento, la motivación e interés en los estudiantes = ya que al aplicar sus conocimientos en tiempo real les ayuda a conocer sus aciertos o errores al momento de aplicar la propiedad de la igualdad en los= dos miembros de la ecuación, permitiéndoles constantemente una retroalimentació= n de conocimientos.

·      =    A pesar = que la investigación se trabajó con estudiantes del sector rural en la que exis= ten múltiples retos académicos en cuanto a la parte tecnológica, ellos supieron afrontar sus miedos, y sobresalir con su aprendizaje tomando en cuenta que = el docente siempre será el guía y un mediador entre el recurso de aprendizaje = y el estudiante.

·      =    En los resultados obtenidos del análisis estadístico, se evidencio que existió un porcentaje mínimo de variación entre el pretest= y postest de conocimiento, pero a pesar de ello se pudi= eron destacar algunas destrezas que los estudiantes pudieron emerger, como identificar de manera precisa la propiedad de la igualdad en los miembros d= e la ecuación, por ello no permite descartar del todo la hipótesis planteada en = esta investigación.

·      =    La aplicación de la balanza virtual como estrategia de aprendizaje en un tiempo reducido no se evidencia un crecimiento de resultados favorables en cuanto a conocimientos es por ello considerar, que la aplicabilidad sea puesta en ma= rcha en un lapso de 5 intervenciones de 80 minutos, para que proporcione mejores resultados en el aprendizaje de las ecuaciones de primer grado con una incógnita.

·      =    La balan= za virtual aplicada en la presente investigación, fue un recurso didáctico tec= nológico que solo se puede emplear para trabajar el aprendizaje de ecuaciones solo c= on números enteros positivos y negativos, no se puede trabajar con números rac= ionales ya sean fraccionarios o decimales.

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