Aproximación de los estudiantes de grado décimo de la Institución Educativa Integral de Formación e Investigación Misak a la modelación matemática de situaciones reales a partir de las funciones cuadráticas

This research consisted of designing a strategy based on the development of a mathematical structure to approach the tenth grade students of the Misak comprehensive educational and research educational institution to the mathematical modeling of real situations using quadratic functions. The researc...

Full description

Autores:
Orozco Mera, Astrith Juranny
Tipo de recurso:
Informe
Fecha de publicación:
2020
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/78064
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/78064
Palabra clave:
510 - Matemáticas
370 - Educación
Mathematical modeling
real situations
quadratic functions
mathematical structure
Modelación matemática
situaciones reales
funciones cuadráticas
estructura matemática
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:This research consisted of designing a strategy based on the development of a mathematical structure to approach the tenth grade students of the Misak comprehensive educational and research educational institution to the mathematical modeling of real situations using quadratic functions. The research was carried out in the following way. First, the mathematical structure of real numbers was studied, in which theory, mechanization, analysis, technological tools, and applications were articulated; the quadratic function was similarly studied. Then mathematical modeling processes were developed for two real situations, the first, consisted of finding a model that represented the free fall of an object, and the second, modeled the income for the sale of chickens in a poultry marketer in the municipality of Morales. Students took data, formulated and fitted quadratic mathematical models with the data obtained, and analyzed the information resulting from such models. Keywords: Mathematical modeling, real situations, quadratic functions, mathematical structure.