Las razones trigonométricas a partir de la semejanza de triángulos
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Guzmán García, Mauricio
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En este trabajo se presenta una propuesta para la enseñanza de las razones trigonométricas a partir de la semejanza de triángulos. Se parte del hecho de que, en la mayoría de ocasiones, el apoyo brindado por los libros de textos a los docentes, debe ser complementado con estrategias que motiven a los estudiantes y les permitan desarrollar aún más sus competencias en matemáticas. La propuesta está sustentada en la historia de la trigonometría, en el estudio de la semejanza de triángulos, en bases teóricas como los lineamientos curriculares en matemáticas y los niveles de razonamiento de Van Hiele. Así mismo, también se explora en actividades donde se hace uso de herramientas tecnológicas como GeoGebra, Excel y C.A.R regla y compás. En particular, en este documento se presentan problemas de carácter físico mediante actividades fuera del aula de clases que permite ver la aplicabilidad de la trigonometría en otras áreas como las ingenierías. Se resalta que la propuesta se elaboró pensando en los estudiantes de la Institución Educativa Misael Pastrana Borrero del municipio de Teruel, Huila.
Abstract. This research study presents a proposal for teaching trigonometric ratios from the similarity of triangles. This proposal is based under the fact that, in most cases, it is assumed that the support given by textbooks to teachers must be complemented with strategies to motivate students and allow them to develop further their skills in mathematics. The proposal is supported by the history of trigonometry, particularly in the study of the similarity of triangles. Also, this research also holds on theoretical foundations as the curricular guidelines in mathematics and the levels of reasoning by Van Hiele. In addition, this dissertations also relies upon the exploration of activities where use of technological tools such as GeoGebra, Excel and CAR ruler and compass. In particular, this study illustrates problems of physical nature through activities outside the classroom that show the applicability of trigonometry in other areas such as engineering. This research was developed with the participation of students from Misael Pastrana Borrero School in the municipality of Teruel, department of Huila.
Abstract. This research study presents a proposal for teaching trigonometric ratios from the similarity of triangles. This proposal is based under the fact that, in most cases, it is assumed that the support given by textbooks to teachers must be complemented with strategies to motivate students and allow them to develop further their skills in mathematics. The proposal is supported by the history of trigonometry, particularly in the study of the similarity of triangles. Also, this research also holds on theoretical foundations as the curricular guidelines in mathematics and the levels of reasoning by Van Hiele. In addition, this dissertations also relies upon the exploration of activities where use of technological tools such as GeoGebra, Excel and CAR ruler and compass. In particular, this study illustrates problems of physical nature through activities outside the classroom that show the applicability of trigonometry in other areas such as engineering. This research was developed with the participation of students from Misael Pastrana Borrero School in the municipality of Teruel, department of Huila.