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Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra

by Muharrem Aktumen, Serdal Baltaci, Avni Yildiz
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 25 - Number 1
Year of Publication: 2011
Authors: Muharrem Aktumen, Serdal Baltaci, Avni Yildiz
10.5120/3170-4022

Muharrem Aktumen, Serdal Baltaci, Avni Yildiz . Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra. International Journal of Computer Applications. 25, 1 ( July 2011), 42-46. DOI=10.5120/3170-4022

@article{ 10.5120/3170-4022,
author = { Muharrem Aktumen, Serdal Baltaci, Avni Yildiz },
title = { Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra },
journal = { International Journal of Computer Applications },
issue_date = { July 2011 },
volume = { 25 },
number = { 1 },
month = { July },
year = { 2011 },
issn = { 0975-8887 },
pages = { 42-46 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume25/number1/3170-4022/ },
doi = { 10.5120/3170-4022 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:11:37.510052+05:30
%A Muharrem Aktumen
%A Serdal Baltaci
%A Avni Yildiz
%T Calculating the Surface Area of the Water in A Rolling Cylinder and Visualization as two and three Dimensional by Means of Geogebra
%J International Journal of Computer Applications
%@ 0975-8887
%V 25
%N 1
%P 42-46
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A real life problem was created in this study and ellipse equations and integral concept were used in the solution of this problem. As a real life problem, the change in the surface area of the water in a cylinder half of which was full of water and situated vertically was examined in a process in which it was tilted until it became parallel to the floor. In the study, piecewise function which gave the surface area of the water for the angle that the floor and the cylinder built was constructed. This process was visualized as two and three dimensional using GeoGebra which is a dynamic mathematics software program. As this problem situation overlaps with the principles of Realistic Mathematics Education approaches, it is believed that it will guide the teachers in classroom activities.

References
  1. Batson, H. 2005. Konikler en doğal halleriyle, Matematik Dünyası,14-18. http://www.matematikdunyasi.org/arsiv/PDF/05_2_14_18_KONIKLERENDOGAL.pdf
  2. Baki, A. 2008. Kuramdan uygulamaya matematik eğitimi. (Genişletilmiş Dördüncü Baskı), Harf Eğitim Yayıncılığı, Ankara.
  3. Ozel, C. & Huseyınoglu, M. 2009. Çan şekilli bir yüzeyin cnc freze tezgahinda imalati için cam kodlarinin matlab programlama ile oluşturulması, Fırat Üniversitesi Mühendislik Bilimleri Dergisi, 21(2), 141-149.
  4. Treffers, A. & Beishuizen, M. 1999. Realistic mathematics education in the Netherlands, in Thompson, I. (ed) Issues in teaching numeracy primnrv schools, Buckingham: Open University Press.
  5. Demirdogen, N. 2007. Gerçekçi matematik eğitim yöntemlerinin ilköğretim 6. sınıflarda kesir kavramının öğretimine etkisi, Gazi Üniversitesi, Eğitim Bilimleri Enstitüsü, İlköğretim Matematik Öğretmenliği Anabilim Dalı, Yayınlanmamış Yüksek Lisans Tezi, Ankara.
  6. Aktumen, M., Horzum, T., Yildiz, A. & Ceylan T. 2010. Bir dinamik matematik yazilimi: Geogebra ve ilköğretim 6-8. sinif matematik dersleri için örnek etkinlikler, Isbn:978-605-125-189-9. Http://Ankarageogebra.Org/Cms/Aktumen/Ekitap/.
  7. Hohenwarter, M & Jones, K. 2007. Ways of linking geometry and algebra: the case of GeoGebra, Proceedings of British Society for Research into Learning Mathematics, 27,3, November 2007.
  8. Van den Heuvel-Panhuizen, M. 2001. November. Realistic mathematics education as work in progress. Paper presented at the meeting of The Netherlands and Taiwan Conference on Mathematics Education, Taipei, Taiwan.
  9. Freudenthal, H. 1977. Adress to the first conference of I.G.P.M.E, at Utrecht 29 August 1977, in Educational Studies in Mathematics, 9:1.
  10. Freudenthal, H.: 1973. Mathematics as an Educational Task, Riedel Publishing Company, Dordrecht, The Netherlands.
  11. Gravemeijer, K., Cobb, P., Bowers, J. & Whitnack, J. 2000. Symbolizing, modeling and instructional design. In P. Cobb, E. Yackel, & K. McClain (Eds.), Symbolizing and communicating in mathematics classrooms (pp. 225-273). Mahwah, NJ: Erlbaum.
  12. Zbiek, R. M., & Conner, A. 2006. Beyond motivation: Exploring mathematical modeling as a context for deepening students’ understandings of curricular mathematics. Educational Studies in Mathematics, 63(1), 89-112.
  13. Van Driel, H. J., & Verloop, N. 1999. Teachers’ knowledge of models and modelling in science, International Journal of Science Education, 21 (11), 1141-1153.
  14. Berry, J., & Houston, K. 1995. Mathematical modelling. Bristol: J. W. Arrowsmith Ltd.
Index Terms

Computer Science
Information Sciences

Keywords

Cylinder Realistic Mathematics Education GeoGebra Three Dimensional Modeling

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