CYCLIC QUADRILATERALS AND GEOGEBRA: AN EXPERIENCE WITH STUDENTES FROM INTEGRATED HIGH SCHOOL TO PROFESSIONAL EDUCATION

Abstract

This work relates an experience with students in the 3rd year of High School Integrated to Professional Education at a Federal Institute, which had as its theme the learning of cyclic quadrilaterals using the GeoGebra software, being carried out remotely from the use of digital information and communication technology tools. The experience took place in the form of four workshops, which sequentially addressed the contents of inscribed angle and corresponding central angle; the necessary and sufficient condition for a quadrilateral to be inscribed to a condition; Ptolemy's theorem; and, the Brahmagupta formula. At the end of the application in all workshops, it was concluded that the use of GeoGebra contributed to the students' learning of Geometry content. However, during the discussions regarding Ptolemy's theorem and Brahmagupta's formula, GeoGebra presented some inconsistencies that refer to the accuracy of values, probably demonstrating a problem inherent to its computational and numerical architecture, but these inconsistencies were bypassed by research professors using a tool in the software itself that allows changing the number of decimal places in their values, thus without causing harm to the learning objectives.