Historia de la matemática para el diseño de tareas: caracterización de conexiones intramatemáticas asociadas a la clasificación de los grupos de orden cuatro
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Zubillaga-Guerrero, Erika y Rodríguez, Flor
Resumen
Las conexiones matemáticas son competencias necesarias que se deben desarrollar en los estudiantes para la comprensión de conceptos en matemáticas en cualquier nivel educativo. Además, la historia de la matemática es un contexto del que emanan conexiones para la construcción de conocimiento. Por lo cual, en este artículo se presentan algunas conexiones intramatemáticas identificadas al resolver tareas sobre la clasificación de los grupos de orden cuatro fundamentada en un análisis histórico y epistemológico del concepto de grupos isomorfos. La investigación es cualitativa y su diseño es un estudio de caso. Para la recolección de datos se aplicó una entrevista. Los datos se analizaron desde un análisis cualitativo de texto. Los resultados indican que existen, por lo menos, tres conexiones asociadas a los conceptos de grupo, isomorfismo y grupos isomorfos de los siguientes tipos que son comparación a través de características comunes, derivación, procedimiento y relación parte-todo. Se concluye que las tareas diseñadas con una fundamentación histórica favorecen para la apreciación conectada de los conceptos y resultados matemáticos en relación con los problemas e ideas que los generaron, haciendo explícitas las conexiones matemáticas.
Fecha
2022
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Referencias
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