La Funci?n Trigonom?trica Seno

 

Authors

Paredes Vallejos, In?s Luc?a

Format

MasterThesis

Status

publishedVersion

Description

El presente trabajo se enfoc? en el paso del concepto de raz?n trigonom?trica a funci?n trigonom?trica, a trav?s de la implementaci?n de una secuencia did?ctica, se plantearon tareas que permitieron ir descubriendo paulatinamente las relaciones entre las razones trigonom?tricas de un ?ngulo agudo, para luego a trav?s del c?rculo unitario descubrir las propiedades de la funci?n seno. Para ello se realizaron actividades de medici?n, c?lculo y modelaci?n de problemas, se puso en funcionamiento el conocimiento geom?trico sobre el teorema de Tales, semejanza de tri?ngulos, teorema de Pit?goras; para descubrir las posibles relaciones entre las razones trigonom?tricas y lograr una aprehensi?n del concepto de la funci?n trigonom?trica seno. Se concluye que con la implementaci?n de secuencias did?cticas en la ense?anza de Trigonometr?a se promueven procesos cognitivos relevantes pues se hacen conexiones, se trabaja la generalizaci?n, representaci?n gr?fica y simb?lica que conecta los conocimientos, logrando que los estudiantes alcancen metas significativas en el proceso de construcci?n del pensamiento funcional trigonom?trico.
The present work focused on the transition from the concept of trigonometric reason to trigonometric function, through the implementation of a didactic sequence, some tasks were proposed that gradually allowed to discover the relationships between the trigonometric ratios of an acute angle, and then through the unit circle to discover the properties of the sine function. For this study there were activities of measurement, calculation and problem modelling, also the geometrical knowledge about the Theorem of Thales, similarity of triangles, Pythagoras theorem to discover the possible relationships between the trigonometric ratios and achieve an understanding of the concept of the sine trigonometric function. It is concluded that with the implementation of a didactic sequence in Trigonometry studying, relevant to cognitive processes are promoted because connections are achieved, generalization is worked on, graphic and symbolic representation connect the knowledge, achieving that students reach significant goals in the construction of the process that is trigonometric functional thinking.
Azogues

Publication Year

2018

Language

Topic

Secuencia did?ctica
Razones trigonom?tricas
Funci?n trigonom?trica
Pensamiento funcional
Didactic sequence
Trigonometric ratios
Trigonometric sine function
Trigonometric functional

Repository

Repositorio Universidad Nacional de Educación

Get full text

http://repositorio.unae.edu.ec/handle/56000/841

Rights

openAccess

License