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SOLVING GEOMETRIC LOCUS PROBLEMS IN GEOGEBRA. Erdem CEKMEZ Karadeniz Technical University Trabzon, Turkiye.
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SOLVING GEOMETRIC LOCUS PROBLEMS IN GEOGEBRA Erdem CEKMEZ Karadeniz Technical University Trabzon, Turkiye
It is widely acknowledged in the literature that theuse of Dynamic Geometry Software (DGS) in classrooms can support the teaching and learning mathematics.One of the characteristic features of DGS is that it can produce the path of a point dependent on another point which is moved.
The topic of locus is covered in most high school and undergraduate geometry curriculum. But due to the difficulties occurred when mentally visualizing various objects with different movements, this subject is usually avoided in most geometry texts.
Using DGS can be a remedy to overcome this difficulty. Therefore, in the content of a course that has been offered at mathematics education program in our university, we provide students with technical knowledge about how to produce the locus of a point by using the locus tool of Cabri-Geometry. Besides we pose them some problems which they can solve through using the locus tool.
In the future we are planning to introduce students with GeoGebra in that course. In what follows I present two problems that we pose to students in the course and mention a problem that we encountered while solving these problems in GeoGebra.
Problem Inscribe a square in a given triangle. Two vertices of the squareshould be on the base of the triangle, the two other vertices of the square on the two other sides of the triangle, one on each.
Problem 2 Given two circles, find the lines that are tangent to both