Robles González, Juana RaquelAvilés Aguas, Francisco AntonioValero Peña, Anny Leidys2021-11-192021-11-192021-11-17https://repositorio.unicordoba.edu.co/handle/ucordoba/4691This research focuses on developing random and metric thoughts in eighth-grade students of the Liceo Pupo Jiménez school in the municipality of Monteria-Córdoba through the implementation of a virtual learning environment based on an instructional design model, which, is It is made up of five phases, which are: Analysis, Design, Development, Implementation, and Evaluation (ADDIE). The study was carried out under a quantitative approach with a quasi-experimental design, with pre-test, post-test, and control group. The pretest and posttest were applied to both groups, but only the experimental group was intervened with the designed strategy. The analysis was carried out using the free version SPSS software, with the use of the parametric tests, the student's t-test, and the non-parametric Mann Whitney and Wilcoxon U tests, among the results obtained in the pretest, a low level of performance was observed in the tests. communication, mathematical reasoning, and problem-solving skills; while in the experimental group it was evidenced in the post-test that these skills improved significantly (p <0.05). This result allowed us to conclude that, after the intervention, the students of the experimental group achieved better levels of performance in the mathematical competencies of the random and metric evaluated thoughts.Resumen....................................................................................................................................................................... 11Introducción ..................................................................................................................................... 131. Planteamiento del Problema ............................................................................................................................................................ 181.1 Descripción del Problema ............................................................................................................. 211.2 Formulación del Problema ................................................................................................................................................... 261.3 Justificación ..................................................................................................................................................... 261.4 Objetivos .......................................................................................................... 291.4.1 Objetivo General ..................................................................................................................................... 291.4.2 Objetivos Específicos .................................................................................................................................. 292. Marco de Referencia ........................................................................................................... 312.1 Antecedentes de la investigación ............................................................................................................................... 312.1.1 Antecedentes Internacionales ........................................................................................................................................... 312.1.2 Antecedentes Nacionales ............................................................................................................................................... 402.1.3 Antecedentes Locales ............................................................................................................................................. 49CAPÍTULO III ................................................................................................................................................................................. 563. Marco Teórico ......................................................................................................................................................................................... 563.1 Referentes teóricos .................................................................................................................................................................. 563.1.1 Aprendizaje significativo .................................................................................................................................... 563.1.2 El Conectivismo .................................................................................................................................................................... 583.2 Referentes Conceptuales ...................................................................................................................................................... 603.2.1 La Enseñanza de las Matemáticas en Colombia ............................................................................................................ 603.2.2 Desarrollo de Competencias Matemáticas ............................................................................................... 613.2.3 Conceptos Básicos de los Pensamientos Matemáticos .................................................................................................. 653.2.4 Tecnología de la Información y Comunicación (TIC) ...................................................................................... 683.2.5 Los Entornos Virtuales de Aprendizaje en el Entorno Educativo ............................................................................... 753.2.6 El modelo ADDIE ............................................................................................................................................. 76Fases del Modelo ADDIE ..................................................................................................................................... 77CAPITULO IV ....................................................................................................................................................................... 784. Metodología ................................................................................................................................................................................ 784.1. Enfoque y Tipo de Investigación .................................................................................................................................784.2 Diseño Metodológico ..............................................................................................................................................................784.3 Población y muestra ...................................................................................................................................................................... 804.4 Sistema de variables ........................................................................................................................................................................ 814.4.1 Variables Dependientes ...............................................................................................................................................................814. 4.2 Variables Independientes ..........................................................................................................................................................814.4.3 Operacionalización de Variables. ...........................................................................................................................................814.4.4 Hipótesis del problema ...................................................................................................................................................................................... 824.5 Fases de la Investigación ...................................................................................................................................................................................... 834.5.1 Etapa 1. Selección de los Grupos Objeto de Estudio ..................................................................................................................... 834.5.2 Etapa 2. Validación y Aplicación de la Prueba Pretest en Ambos Grupos ............................................................................ 844.5.3 Etapa 3. Diseño y Creación del EVA, Basado en el Modelo ADDIE ..............................................................................................864.5.4 Etapa 4. Aplicación de la Estrategia al Grupo Experimental. ...........................................................................................................914.5.5 Etapa 5. Aplicación de Prueba Postest Ambos Grupos. .......................................................................................................................924.5.6 Etapa 6. Análisis Estadístico de Resultados ...................................................................................................................................................924.6 Instrumentos ..........................................................................................................................................................................................................................93CAPITULO V ................................................................................................................................................................................................................. 945. Análisis de Resultados .......................................................................................................................................................................... 945.1 Análisis de los resultados para el pensamiento métrico ..................................................................................................... 955.1.1 Comparación pretest grupo control – pretest grupos experimentales ................................................................. 955.1.2 Comparación de postest grupo control – postest grupo experimental ....................................................... 1015.1.3 Comparación de Pretest – Postest para el Grupo Experimental ...................................................................1075.2 Análisis de los Resultados para el Pensamiento Aleatorio ...................................................................................... 1115.2.1 Comparación del Pretest para Grupo Experimental y Control del Pensamiento Aleatorio ................ 1115.2.2 Comparación Postest para el Grupo Control y Experimental del pensamiento Aleatorio. ....................1145.2.3 Comparación Pretest y Postest para el Grupo Experimental del pensamiento Aleatorio. ..................119CAPITULO VI .......................................................................................................................................................................................................... 1226. Discusión .......................................................................................................................................................................................................... 122CAPITULO 7 .......................................................................................................................................................................................................... 1257. Conclusiones y Recomendaciones .................................................................................................................................................. 125Referencias .......................................................................................................................................................................................................... 129ANEXOS ............................................................................................................................................................................................................... 136application/pdfspaCopyright Universidad de Córdoba, 2021Trabajo de grado - Maestríainfo:eu-repo/semantics/restrictedAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)Modelo ADDIECompetencias matemáticasPensamiento aleatorioPensamiento métricoADDIE modelMathematical competenciesRandom thinkingMetric thinking