The Modelling Process of a Paper Folding Problem in GeoGebra 3D

Aktümen, Muharrem; Doruk, Bekir Kürşat; Kabaca, Tolga

doi:10.14569/ijacsa.2012.031109

Cited by 2 publications

(2 citation statements)

References 5 publications

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“…Furthermore, there are a gradually increasing number of studies investigating real-life problems with DGS Gecü & Özdener, 2010;Gittinger, 2012;Kabaca & Aktümen, 2010;Widjaja & Heck, 2003). At the same time, there are also studies in the literature regarding threedimensional modeling with DGS (Aktümen, 2013;Aktümen, Baltaci, & Yildiz, 2011;Aktümen, Doruk, & Kabaca, 2012;Oldknow, 2009;Oldknow & Tetlow, 2008).…”

Section: Introductionmentioning

confidence: 99%

Modeling and Visualization Process of the Curve of Pen Point by GeoGebra

Aktümen¹,

Horzum²,

Ceylan³

2013

European Journal of Contemporary Education

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Abstract. 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 backend 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.

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