UNIVERSIDAD NACIONAL FEDERICO VILLAREAL FACULTAD DE EDUCACION ESCUEL A PROFESION AL AL DE EDUC AC ACION SECUND AR AR A I A M AT ATEM AT ATIC A A-FISIC A
INFLUENCIA DEL MEDIO SOCIAL EDUCATIVO EN EL APRENDIZAJE DE LAS MATEMATICAS EN LOS ALUMNOS DEL PRIMER AÑO DE SECUNDARIA DE LA I.E.P. YACHAYHUASI
MANRIQUE CONDOR, DANIEL ALEJANDRO
Li ma ±± Per ú 2010
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ÍNDICE
RESUMEN ABSTRACT INTRODUCCION Pág.
CAPÍTULO I PLANTEAMIENTO DEL PROBLEMA 1.1. REALIDAD PROBLEMA
««««««««««
7 1.2. FORMULACIÓN DEL PROBLEMA««««««««««««««««« PROBLEMA ««««««««««««««««« 8
1.2.1. PROBLEMA GENERAL«««««««««««««««««««« 8
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1.4. JUSTIFICACIÓN DE LA INVESTIGACIÓN ««««««««««««««. 8 1.5. HIPÓTESIS Y VARIABLES ««««««««««««««««««««« 9
GENERAL«««««««««««««««««««« ««««««««««« 9 1.5.1. HIPÓTESIS GENERAL««««««««« 1.6. DEFINICIÓN DE VARIABLES «««««««««««««««««««
9
CAPÍTULO II MARCO TEORICO 2.1. ANTECEDENTES DE LA INVESTIGACIÓN «««««««««««««. 10 2.2. BASES TEÓRICAS«««««««««««««««««««««««« TEÓRICAS «««««««««««««««««««««««« 14 FAMILIA ««««««««««««««««««««««««««« 15 2.2.1LA 2.2.1 LA FAMILIA««««««««««««««««««««««««««« 2.2.2. REALIDAD EDUCATIVA ««««««««««««««««««««.
16
2.2.3 EL PAPEL DOCENTE««««««««««««««««««««««
25
2.2.4. ENSEÑANZA Y APRENDIZAJE DE LAS MATEMÁTICAS DEL ALUMNO««««««««««««««..«««««««««««««««« ALUMNO««««««««««««««.. «««««««««««««««« .18 2.3. DEFINICIÓN DEFINICIÓN DE TÉRMINOS«««««««««««««««««««. TÉRMINOS«««««««««««««««««««.
26
CAPÍTULO III METODOLOGIA DE LA INVESTIGACION 3.1 DISEÑO DE LA INVESTIGACIÓN«««««««««««««««««« INVESTIGACIÓN«««««««««««««««««« 30 3.2. TIPO DE INVESTIGACIÓN««««««««««««««««««««« INVESTIGACIÓN««««««««««««««««««««« 30 3.3. POBLACIÓN Y MUESTRA««««««««««««««««««««« MUESTRA ««««««««««««««««««««« 32 3.4. TÉCNICAS E INSTRUMENTOS DE RECOLECCIÓN DE DATOS«««« DATOS «««« 32
3.5TÉCNICAS PARA EL PROCESAMIENTO DE DATOS «««««««««.33
CAPÍTULO IV
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4.2. PRUEBAS DE HIPÓTESIS ««««««««««««««««««««.43
CAPÍTULO V DISCUSION««««««««««««««««««««««««.45 CAPITULO VI CONCLUSIONES Y RECOMENDACIONES 6.1. CONCLUSIONES««««««««««««««««««««««. CONCLUSIONES««««««««««««««««««««««.
47
6.2. RECOMENDACIONES«««««««««««««««««««« RECOMENDACIONES««««««««««««««««««««
48
REFERENCIAS BIBLIOGRAFÍCAS BIBLIOGRAFÍCAS«««««««««««««««..49
ANEXOS««««««««««««««««««««««««««...«
52
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RESUMEN Esta investigación trata sobre la influencia del medio social educativo en el aprendizaje de las matemáticas. Teniendo en cuenta que el medio tres aspectos del medio social educativo el papel docente, la familia y el entorno social. Esta investigación es de tipo descriptivo simple. En esta investigación q fue realizada tomando como muestra a los alumnos del primer año de secundaria de la I.E.P. Yachayhuasi ubicada en el distrito de Santiago de surco. Lima-Perú Se concluyo que un medio social educativo adecuado permite un aprendizaje positivo de las matemáticas. Ya que este hace posible de que el alumno posea actitudes positivas para su aprendizaje, lo cual le permite estar más apto o predispuesto a aprender.
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ABSTRACT This investigation is about the social environment education in the learning of mathematics. Given that the middle three aspects of the social environment the role teacher education, family and social environment. This research is descriptive, simple. This research was performed by taking q as shown to the students the first year of secondary IEP Yachayhuasi located in Santiago de Surco district. Lima -Peru It was concluded that an appropriate educational social environment allows a positive learning of mathematics. Since this makes it possible for the students possess positive attitudes to learning, allowing you to be more capable or inclined to learn.
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CAPITULO I
EL PROBLEMA 1.1.-REALIDAD PROBLEMÁTICA
En nuestro país observamos la deficiencia que tienen los alumnos en el área de las matemáticas, y ello forma parte de una investigación hecha por la UNICEF, y en la cual nuestro país se encuentra entre los países con mayor deficiencia el área área ya mencionada. Por otro lado está el hecho que los egresados del nivel secundario de las instituciones educativas necesitan de la preparación académica para poder postular a una vacante universitaria, y esto deja muy muy a la vista la deficiencia, que existe, en la enseñanza de las matemáticas. Se cree que los docentes no cumplen su rol a cabalidad, pero que tan cierto puede ser este hecho. Las investigaciones realizadas por el gobierno de turno y los anteriores gobiernos a éste, se han puesto a observar, a este hecho, como la la principal principal causa del b ajo rendimiento escolar, y cabe destacar que esto se ha hecho en todas las áreas que se
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1.3.-OBJETIVOS .3.-OBJETIVOS DE LA INVESTIGACIÓN: 1.3. 1.- Objetivo General: y
Conocer cuál es el grado de influencia del medio social educativo en el aprendizaje de las matemáticas del primer año de secundaria de la institución educativa Yachayhuasi. 1.3.2.-Objetivos Específicos:
y
Conocer cuál es el grado de influencia de la familia en el aprendizaje de las matemáticas del primer año de secundaria de la institución educativa Yachayhuasi.
y
Conocer cuál es el grado de influencia del papel del docente de matemáticas en el aprendizaje de las matemáticas.
y
Conocer cuál es el grado de influencia realidad social en aprendizaje de las matemáticas del primer año de secundaria de la institució n educativa Yachayhuasi. 1.4.- JUSTIFICACIÓN JUSTIFICACIÓN DE LA INVESTIVGACIÓN INVESTIVG ACIÓN
Este trabajo está realizado con la finalidad de obtener información del porque de la deficiencia de la enseñanza de las matemáticas, haciendo una investigación de la influencia influencia del medio so cial educativo, y de cómo éste favorece o dificulta el aprendizaje de las matemáticas , y así poder
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Debido a que las clases en una de las instituciones sólo se dan durante la mañana no se podrá tener una recolección de datos precisos al momento de hacer el muestreo. 1.5.2.- Muestra:
La muestra no tiene características uniformes, es decir no todos los alumnos que forman parte de la muestra tienen el mismo nivel de aprendizaje en cuanto en el área de las matemáticas. 1.6.-HIPOTESIS .6.-HIPOTESIS Y VARIABLES 1.61. HIPOTESIS GENERAL
HG Una influencia positiva del medio social educativo facilita un adecuado
aprendizaje de las Matemáticas del primer año de secundaria del I.E.P Yachayhuasi H0 Una influencia Negativa del medio social educativo dificulta
un
adecuado aprendizaje de las Matemáticas del primer año de secundaria del I.E.P Yachayhuasi 1.6.2.- DEFINICIÓN DE
VARIABLES:
Variable independiente: y
Medio social educativo o
Influencia de La familia
o
Influencia del Docente
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CAPITULO II
MARCO TEÓRICO 2.1.- ANTECEDENTES
De acuerdo al estudio realizado por Vigotsky(1979) 1«...en el desarrollo cultural del niño, toda función aparece dos veces: a nivel social, y más tarde, a nivel individual. Primero entre personas ( ínterpsicológica ) y, después, en el (interior) del niño (intrapsicológica). Esto puede aplicarse igualmente a la atención voluntaria, a la memoria lógica y a la formación de conceptos. Todas las funciones psicológicas se originan como relaciones entre seres humanos». Con lo cual él nos deja dice que las relaciones sociales tiene una gran influencia en el aprendizaje aprendizaje . El niño se
interrelaciona a lo largo de su vida con tres aspectos inherentes a su educación estos son: los docentes, la familia y la realidad educativa (el medio social donde se encuentra el educando). No obstante es importante resaltar que la actitud del alumno alumno frente a su
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Con referente a la influencia del docente:
Para Claudi, Alsina y colbs. (2006) 2 Nos dice que los primeros años de aprendizaje suelen ser una etapa rica en avances avances (esto referido a la etapa preescolar y escolar) y los maestros tienen a su alrededor una autenti co ejercito de genios tan rápidos como entusiastas, («) pero que el aprendizaje de las matemáticas se dificulta cuando el docente no sabe matematizar la enseñanza de estas, es decir no desarrolla la clase enfatizando que las matemáticas se pueden encontrar encontra r en lo cotidiano. Aquí podemos observar que la motivación docente cumple un papel muy importante en la enseñanza de esta materia. Una característica del trabajo relacionada con el gusto por las áreas es si se habla o no con cada estudiante sobre su rendimiento. Tanto en Lenguaje como en Matemática, el 59% reporto reporto que su docente sí lo hacía, en tanto un 41% reporto que no. Por un lado en lo lo antes referido se muestra la preocupación del docente por el desempeño de sus alumnos, pero que también existe un 41% que necesita de más apoyo y motivación por parte del docente. Cabe resaltar que en el desarrollo de una clase no se llega a cubrir las expectativas de todos los alumnos, y este problema no es completamente culpa de la falta de motivación por parte del educador sino también de los padres y del entorno social donde se desarrolla el educando. Crecer n· 2 del Ministerio de Educación Educación (2000) 3
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Delgado Sarca, Raul G. (2004) 5 Hizo una investigación para optar el
título profesional de Psicólogo titulada: ³Ac titudes hacia la matemática matemática y su relación con el rendimiento escolar en alumnos del primer año de secundaria´ en la cual obtuvo como conclusión que: existe una relación entre las actitudes hacia el profesor de matemática, el cual predice el 3% el rendimiento escolar de la asignatura de matemática. Por lo cual el recomienda que el docente de matemática deber mostrar mayor interés al aspecto afectivo del alumno y no sólo al aspecto cognitivo. No se debe hacer sentir el curso de matemática como una asignatura terrible, sino accesible al alumno, el cual lo va a apoyar en su desarrollo personal. Eudave Muñoz, Daniel (2000) 6 realizo una investigación a cerca de ³Las
actitudes hacia las matemáticas de los maestros y alumnos de bachillerato en la ciudad de Aguaslie nte en México´ entre una de sus conclusiones dice lo siguiente: ³Se detectaron actitudes más negativas de los alumnos en el aspecto de práctica docente y en los componentes afectivo y conductual. Esto quiere decir en general, los alumnos
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rendimiento académico de sus hijos, con una muestra de estudiantes de adecuación secundaria.
Los
resultados señalan que los estudiantes de
mayor comportamiento autorregulado perciben en sus padres crecen y confían más
en sí mismos como estudiantes y obt ienen un mayor
rendimiento académico.
Lozano,
A. (2003) 10 investigó
los factores personales, familiares y
académicos que afectan el fracaso escolar en la educación secundaria, encontrando que el entorno académico y la motivación académica son predictores del rendimiento escolar . La motivación académica desciende a medida que desciende el rendimiento, también desciende con la edad, aunque lo hace más lentamente si el rendimiento es bueno, las dimensiones valoración afectiva y apoyo social no explican en rendimiento . Antunes, C. (2005) 11 ³Es evidente que en algunos casos, la inteligencia
lógico-matemática aparece mucho más elevada y el individuo, incluso sin
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un buen rendimiento y que las experiencias positivas sobre la universidad se relacionan con un alto rendimiento académico. Pérez, A.; Castejón y Maldonado, A. ( 1996) 14 Investigaron las variables
psicosociales y personales que afectan el rendimiento académico de laso estudiantes según su estatus sociométrico. Los resultados mostraron que en los alumnos de estatus alto y bajo no se encontraron variables compartidas, en los alumnos de estatus alto predominan las variables perceptivas, en los alumnos del estatus bajo predominan las variables de tipo personal-objetivo, y en los estatus medio y bajo predominan las variables de adaptación y autoconcepto. 2.2.- BASES TEÓRICAS:
Si bien es cierto hemos dejado de lado el enfoque tradicional de la educación mas sin embargo todavía es muy difícil centrar el enfoque constructivista al área de las matemáticas, se torna un poco difícil encontrar la manera que el aprendizaje aprendizaje de esta áre a sea significativo, pero no es solo esta falta la que influye directamente en el aprendizaje,
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2.2.1.-La familia
La familia es un grupo de personas unidas por vínculos de parentesco, ya sea consanguíneo, por matrimonio o adopción. La familia es calificada como la organización social más elemental, y es en gran medida fundamental, puesto que en el seño de la familia donde se establecen las primeras relaciones de aprendizaje social, se conforman las pautas de comportamiento y se inicia el desarrollo de la personalidad del hijo. Adell, Marc (2002) 15 pg. 91
Dentro de las funciones de la familia encontramos las siguientes: y
Función biológica : se satisface el apetito sexual del hombre y la mujer,
además de la reproducción humana. y
Función educativa : tempranamente se socializa a los niños en cuanto a
hábitos, sentimientos, valores, conductas, etc. y
Función económica : se satisfacen las necesidades básicas, como el
alimento, techo, salud, ropa.
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a) La comunicación familiar:
La comunicación familiar está est á relacionada con con la comunicación comunicación padre madre y la comunicación padres-hijos. La cual es fundamental para una actitud positiva en el desempeño escolar. b) Las expectativas familiares como factor de rendimiento :
La familia siempre está expectante a conseguir lo mejor para su hijo. Los padres llegan a proyectar lo que ellos no alcanzaron en su etapa educativa para sus hijos, y eso contextualizado y atemperado, a la vez, con los refuerzos oportunos, puede funcionar según Adell, Marc (2002) 17. c) La ayuda prestada a los hijos hijo s en sus estudios:
Prestar ayuda a los hijos en sus estudios quiere decir estar atentos a sus necesidades y dedicarles la atención necesaria en cada caso. En definitiva, supone mostrar interés por lo que hacen los hijos en su institución educativa, estimularlos y acompañarlos en las dificultade
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2.2.3.- El Docente
Según el enfoque de la ense ñanza constructivista constructivist a
el docente es el
mediador y guía del aprendizaje. El es el encargado de facilitar y dirigir alumno en su autoaprendizaje . El docente juega un papel muy importante el desarrollo de clase, ya que es depende de él si una clase es asimilada adecuadamente por sus alumnos. Si el maestro de matemáticas emplea la motivación al dictar su clase, y relaciona las clases de matemática con lo cotidiano (matematización) es más seguro de que el educando sea participe de aprendizaje. No No obstante una act itud inadecuada para con los alumnos puede fomentar problemas en el desarrollo de clase, tales como
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2.2.3.2.- Relación Profesor ± Alumno:
Es evidente que una relación positiva ente el educador y el educando hace más factible
una clase de matemáticas.
elow Y elow
y Weinstein
(1997) 22 y Lafout (1999) 23 en sus investigaciones demostraron que los
profesores que les gusta lo que hacen,
llevan
sus clases en
un
ambiente más participativo y que la motivación de estos juega un papel muy importante en el aprendizaje de los alumnos. La actitud que el docente emite al momento de enseñar es determinante par aun el aprendizaje, y es evidente que una actitud positiva fomenta un
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pasar a la práctica y que su enseñanza, por tan to se debía centrar principalmente en la significación u en la comprensión de los conceptos. Teoría del aprendizaje de Thorndike: propugna un aprendizaje pasivo, producido por la repetición de asociaciones estímulo estí mulo -respuesta y una acumulación de partes aisladas, que implicaba una masiva utilización de la práctica y del refuerzo en tareas memorísticas, sin que se viera necesario conocer los principios subyacentes a esta práctica ni proporcionar una explicación general sobre la estructura de los conocimientos a aprender.
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En definitiva y como resumen, lo que interesa no es el resultado final de la conducta sino los mecanismos cognitivos que utiliza la persona p ara llevar a cabo esa conducta y el análisis de los posibles errores en la ejecución de una tarea. Dos enfoques teóricos relacionados con las matemáticas.
Las dos teorías que vamos a tratar en este apartado son la teoría de la absorción y la teoría cognitiva. Cada una de estas refleja diferencia en la naturaleza del conocimiento, cómo se adquiere éste y qué significa saber. a) Teoría de la absorción
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y
Aprendizaje acumulativo. Para la teoría de la absorción, el crecimiento
del conocimiento consiste en edificar un almacén de datos y técnicas. El conocimiento se amplía mediante la memorización de nuevas asociaciones. En otras palabras, la ampliación del conocimiento es, básicamente, un aumento de la cantidad de asociaciones almacenadas. y
Aprendizaje eficaz y uniforme . La teoría de la absorción parte del
supuesto de que los niños simplemente están desinformados y se les puede dar información con facilidad. Puesto que el aprendizaje por asociación es un claro proceso de copia, debería producirse con rapidez y
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y
Construcción activa del conocimiento. Para esta teoría el aprendizaje
genuino no se limita a ser una simple absorción y memorización de información impuesta desde el exterior. Comprender requiere pensar. En resumen, el crecimiento del conocimiento significativo, sea por asimilación
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A continuación vamos definir distintos modos de conocimiento de los niños en el campo de la matemática: Conocimiento intuitivo:
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Nociones intuitivas de la adición y la sustracción: los niños reconocen reconocen muy pronto que añadir un objeto a una colección hace que sea ³más´ y que quitar un objeto hace que sea ³menos´. Pero el problema surge con la aritmética intuitiva que es imprecisa. Ya que un niño pequeño cree que 5
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La matemática formal puede liberar a los niños de los confines de su matemática relativamente concreta. Los símbolos escritos ofrecen un medio para anotar números grandes y trabajar con ellos. Los procedimientos escritos proporcionan medios eficaces para realizar
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Ecológicos: Vecindario desorganizado y con co n delincuencia. Injusticias raciales, étnicas y de género. Acontecimientos de la vida no normativos que generan estrés: Muerte
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