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ERIC Number: EJ1057734
Record Type: Journal
Publication Date: 2013
Pages: 12
Abstractor: As Provided
Reference Count: 29
ISBN: N/A
ISSN: ISSN-2304-9650
Modeling and Visualization Process of the Curve of Pen Point by GeoGebra
Aktümen, Muharem; Horzum, Tugba; Ceylan, Tuba
European Journal of Contemporary Education, v4 n2 p88-99 2013
This study describes the mathematical construction of a real-life model by means of parametric equations, as well as the two- and three-dimensional visualization of the model using the software GeoGebra. The model was initially considered as "determining the parametric equation of the curve formed on a plane by the point of a pen, positioned on an obstacle of height h, during the process of raising the pen vertically to the surface by linearly moving its back-end on the surface." Firstly a solution was sought for this problem in two dimensions. Based on this problem, two additional sub-problems were formed on a plane, and parametric equations were calculated for these sub-problems as well. The curves formed by these parametric equations were then visualized using GeoGebra. In the second stage, the model was improved, and the parametric equation of the curve formed in the space by the pen point as a result of moving the pen's back-end along any function was determined. The curve formed by this parametric equation was also visualized using the GeoGebra 3-D environment. It is expected that determining mathematical concepts and relationships based on real-life models with these types of training tasks, as well as jointly considering the algebraic and geometric representations during the process, will improve the students' perceptions relating to mathematics.
Academic Publishing House Researcher. 26-2 Konstitutcii, Office No. 6, 354000 Sochi, Russian Federation. Tel: +7-918-2019719; e-mail: evr2010@rambler.ru; Web site: http://ejournal1.com/en/index.html
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A