Resolução de problemas envolvendo o cálculo de áreas de figuras planas via polígonos equidecomponíveis

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Universidade Federal de Goiás


The geometry study is important because it allows people to think more logically and opens the mind to a new level of thinking and reasoning skills. However, for various reasons, this area of mathematics is little explored in the classes of basic education. In this sense, it woke up the interest in developing studies that could be interesting and relevant to the geometry teaching in basic education, in order to collaborate with the classes. And the theme was the area of plane figures and equidecomposable polygons. Thus, the main objective of this work is the proposal of problems that can be solved with the decomposition of polygons, as suggested activities for the general education teacher can apply them in their practice. The methodology used was the development of bibliographic research relating to fundamental concepts of geometry, as well as equidecomposable polygons, followed the presentation of activities involving area of plane figures and decomposition of polygons. It is expected this work, assisting the work of teachers of basic education and thus contribute to the improvement of geometry teaching in basic school.



Polígonos equidecomponíveis, Resolução de problemas, Áreas de figuras planas, Ensino básico, Equidecomposable polygons, Problem solving, Areas of plane figures, Basic education


SOUZA, G. F. Resolução de problemas envolvendo o cálculo de áreas de figuras planas via polígonos equidecomponíveis. 2016. 66 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Catalão, 2016.