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Sempozyum: 6th Internatıonal Computer and Instructıonal Technologies Symposium
The Effects of Computer-Assisted and Distance Learning of Geometric Modeling
Ömer Faruk SÖZCÜ
Fatih University

Rushan ZİATDİNOV
Fatih University
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Sempozyum: 6th Internatıonal Computer and Instructıonal Technologies Symposium
The Effects of Computer-Assisted and Distance Learning of Geometric Modeling
Ömer Faruk SÖZCÜ
Fatih University

Rushan ZİATDİNOV
Fatih University
Abstract :

Geometric modeling is an interdisciplinary field of study, where applied mathematics and computer science intersect. It studies specific methods and algorithms for the mathematical description of curves and surfaces, and their applications in computer-aided design (CAD), shape modeling as well as industrial geometry. Nowadays most geometric modeling is done with computers and for computer-based applications. Two-dimensional models are important in computer typography, technical drawing and mobile robot path planning. Three-dimensional models are central to computer-aided design and manufacturing (CAD/CAM), and widely used in many applied technical fields such as civil and mechanical engineering, architecture, geology, computer vision and medical image processing. Since geometric modeling is highly connected with scientific visualizations and animations, there is a need in specific methodologies of computer assisted learning, and distance education.

Computer algebra systems (CAS) and dynamic geometry environments (DGS) are well-known as the most eff ective tools for teaching geometric modeling. They provide a plenty of various instruments for scientific visualization and modeling, and in conjunction with distance education tools can be considered as a powerful technique for teaching. The World Wide Web provides great opportunities for creating virtual classrooms of learners and instructors involved in distance education. Many software environments take advantage of the client-server communication on the Internet and support open and distance learning. Educational research shows that monitoring the students’ learning is an essential component of high quality education, and is one of the major factors diff erentiating eff ective schools and teachers from ineff ective ones.

This applies also to online teaching, e.g Helic et al. argue that a good online tutoring requires monitoring of a learner’s progress with the material and testing of the acquired knowledge and skills on a regular basis. Assessment and measurement enables teachers to gauge the student response, feedback, and progress towards goals, and is crucial in distance education where the learner is impaired by the lack of casual contact with the teacher and other students. Technical subjects such as mathematics do not transfer easily to the distance education mode, so teaching and learning in such environments present special challenges. Any technologies employed for this purpose must satisfy the need for visual material, algebraic symbolism, and geometric representation. There should be opportunities to explore ideas, to work on problem solving and to provide specific feedback, preferably through prompt verbal and visual explanations. Most importantly, the medium should also facilitate the development of motivation, enthusiasm for the subject, and the potential for interactivity.

An interactive teaching and learning model involving Desktop Videoconferencing (DVC) and other audio-graphic facilities was developed and trialed for distance education in undergraduate geometry and mathematics. It appears that very little has been reported previously in this area of mathematics teaching, certainly not on the scale of this development. It was also shown the possibility to integrate the virtual learning environments (VLE) with computer applications and graphics software to enable the diff icult task of representing algebraic, geometric, and numeric concepts, all of which are essential for the development of higher level mathematical topics.

Keywords : virtual environment; interactive learning; geometric modeling; scientific visualization; computer
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