HISTORIA DE LA MATEMÁTICA Aspectos epistemológicos de la matemática. Estructura intelectual cognitiva de la matemática, dificultades de su aprendizaje. Historia y epistemología del álgebra, de la geometría, del análisis y de la estadística y su relación con el aprendizaje de la matemática en la educación escolar
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Date
2022-06-28
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Universidad Nacional de Educación Enrique Guzmán y Valle
Abstract
El objetivo de este trabajo de investigación es dar a conocer la historia de la matemática, sus aspectos epistemológicos, así como también la historia del algebra, geometría, análisis y estadística, relacionado con el aprendizaje escolar, para de esa forma poder establecer diversos puntos que sirvan de base para el planteamiento adecuado de una sesión didáctica, todo ello a partir de una revisión de diversos estudios y bases teóricas que fundamentan el estudio. A nivel del Perú y el sistema educativo, se tiene establecido por el Minedu los logros de aprendizaje, que se ven evidenciados a través de las competencias.
Para elaborar el trabajo de investigación, se realizó una revisión de fundamentos teóricos y estudios de diversos autores, así como también la revisión del currículo nacional impartido por el ministerio de educación, todo ello nos permite una buena planificación de sesiones de aprendizaje y así poder crear buenas experiencias.
En la primera parte se realiza el sustento teórico como la evolución, historia y origen de la matemática desde épocas primitivas hasta la actualidad, en el segundo capítulo se presenta los aspectos epistemológicos de la matemática, el tercer capítulo aborda el proceso cognitivo en el aprendizaje de la matemática y sus dificultades, seguido del cuarto capítulo que muestra la historia y aspectos epistemológicos de las ramas de la matemática y el quinto capítulo muestra las bases teóricas relacionadas con el aprendizaje escolar.
Para finalizar, se presenta un diseño de una sesión que toma en cuenta la fundamentación teórica en el aprendizaje de la matemática en el ámbito escolar, síntesis, apreciación crítica y sugerencias.
The objective of this research work is to present the history of mathematics, its epistemological aspects, as well as the history of algebra, geometry, analysis and statistics, related to school learning, in order to establish various points that serve as a basis for the appropriate approach to a teaching session, all based on a review of various studies and theoretical bases that support the study. At the level of Peru and the educational system, learning achievements have been established by the Minedu, which are evidenced through competencies. To prepare the research work, a review of theoretical foundations and studies by various authors was carried out, as well as the review of the national curriculum taught by the Ministry of Education, all of which allows us to properly plan learning sessions and thus be able to create good experiences. In the first part the theoretical support is made such as the evolution, history and origin of mathematics from primitive times to the present, in the second chapter the epistemological aspects of mathematics are presented, the third chapter addresses the cognitive process in the learning of mathematics. mathematics and its difficulties, followed by the fourth chapter that shows the history and epistemological aspects of the branches of mathematics and the fifth chapter shows the theoretical bases related to school learning. Finally, a design of a session is presented that takes into account the theoretical foundation in the learning of mathematics in the school environment, synthesis, critical appreciation and suggestions.
The objective of this research work is to present the history of mathematics, its epistemological aspects, as well as the history of algebra, geometry, analysis and statistics, related to school learning, in order to establish various points that serve as a basis for the appropriate approach to a teaching session, all based on a review of various studies and theoretical bases that support the study. At the level of Peru and the educational system, learning achievements have been established by the Minedu, which are evidenced through competencies. To prepare the research work, a review of theoretical foundations and studies by various authors was carried out, as well as the review of the national curriculum taught by the Ministry of Education, all of which allows us to properly plan learning sessions and thus be able to create good experiences. In the first part the theoretical support is made such as the evolution, history and origin of mathematics from primitive times to the present, in the second chapter the epistemological aspects of mathematics are presented, the third chapter addresses the cognitive process in the learning of mathematics. mathematics and its difficulties, followed by the fourth chapter that shows the history and epistemological aspects of the branches of mathematics and the fifth chapter shows the theoretical bases related to school learning. Finally, a design of a session is presented that takes into account the theoretical foundation in the learning of mathematics in the school environment, synthesis, critical appreciation and suggestions.
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Huacani Figueroa, O. Y. (2022). HISTORIA DE LA MATEMÁTICA Aspectos epistemológicos de la matemática. Estructura intelectual cognitiva de la matemática, dificultades de su aprendizaje. Historia y epistemología del álgebra, de la geometría, del análisis y de la estadística y su relación con el aprendizaje de la matemática en la educación escolar (monografía de pregrado). Universidad Nacional de Educación Enrique Guzmán y Valle, Lima, Perú