Exploring Properties of Quadrilaterals in Elliptic Geometry using the Dynamic Geometry Software
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The purpose of this research was to study students’ exploring the important properties of Elliptic quadrilaterals using the Dynamic Geometry Software (DGS). The participants comprised 26 mathematics students in the fourth year of their undergraduate program in the Faculty of Education at Rajabhat Rajanagarindra University, Thailand. They had enrolled in the Foundations of Geometry course at the first semester of the academic year 2019. The instruments were activity packages exploring properties of Saccheri and Lambert quadrilaterals in elliptic geometry using DGS. The results indicated that the students could make conjectures and verify properties of elliptic quadrilaterals correctly and rapidly. The students concluded that the summit angles in a Saccheri quadrilateral are always congruent and obtuse. The line joining the midpoints of the base and summit of a Saccheri quadrilateral is perpendicular to both the base and the summit. They also concluded that in elliptic geometry, a Lambert quadrilateral has its fourth angle obtuse, and each side of this angle is shorter than the side opposite. Therefore, the use of DGS can help students visualize this non-Euclidean geometry.
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