Transformações geométricas no plano cartesiano

Abstract

The present work consists of the planning, elaboration and application of an unprecedented Applied Mathematics class with 21 students of the 1st year of High School at a state school in Santiago/RS, which aims to solidify the students' knowledge in relation to geometric transformations in the plane. Cartesian, in particular, the concepts of congruence and similarity of figures, subjects addressed in the high school curriculum. The objective of this research is to analyze the potential of a methodology of exploratory and investigative activities in the learning process of geometric transformations. To achieve the objectives, students were invited to solve activities that involved geometric transformations in the form of constructions in the Cartesian Plane, on graph paper and also in the GeoGebra software. At the end of the class, the students answered a questionnaire about their perceptions regarding the activities developed and the proposed methodology. With the students' production, a qualitative study was conducted, analyzing the strategies used in the investigative process, allowing for some reflections on this practice. In the work analyses, it is possible to check the progress of the students, through the recording of images, mainly in the understanding and interpretation, both in the questionnaires and in the expected results. Finally, the findings of the professor regarding the applied class are exposed.