Study on the Visual and Analytical Application for Solution of Trigonometric Equation Systems
Abstract
Solving trigonometric equations, diagrams, and graphics and visual images in the form of a better understanding of the problem as well as strategies for providing the information to be permanent. The graphical approach to the solution of equation system gives a wider perspective, conceptual learning, and facilitates the transfer of information. In this study, f (cosθ, sinθ) = 0, g (cosθ, sinθ) = 0, the two-equation system analytical transformations made a trigonometric equation f (x, y) = 0, g (x, y) = 0 equations created. These new correlations perpendicular to the same coordinate system, drawing graphics, graph the unit circle with the common points searched. Graphs corresponding to the common point of the angle, the solution was taken as an element of the set. In this study, it was showed to facilitate conceptual learning with, the process of solution of trigonometric equations, combining visual and analytical thinking strategies. It was also considered to contribute to the world of mathematics
Keywords
Trigonometry, Equation System, Angle, Graphics, Visualizatio
References
- Adamek,T., Penkalski,K., Valentine, G., “The History of Trigonometry, History of Mathematics”, www.math.rutgers.edu/~mjraman/ History Of Trig.pdf. (2005).
- Aksoy,Y. (1972). “Trigonometri”, İstanbul Devlet Mühendislik Mimarlık Akademisi Yayınları, İstanbul.
- Aldağ,H. (2005). “Öğrenmeve ÖğretmedeA. Paivio’nun İkili Kodlama Kuramı”, Ç.Ü. Sosyal Bilimler Enst., 14(2):29-48.
- Arcavi,A. (2003). The role of vısual representatıons ın the learnıng of mathematics Educatıonal
- Studıes in Mathematics, 52, 215-241
- Aufmann,R.N., Barker,V.C.;Nation,R.D. (1997). “College Algebra and Trigonometry”, Third
- Edition, Houghton Mifflin Company, Boston, New York. Aufmann,R.N., Barker,V.C.;Nation,R.D. (1997). “College Algebra and Trigonometry”, Third
- Edition, Houghton Mifflin Company, Boston, New York. Ayres,F.Jr., Moyer,R.E. (1998). “Schaum’s Outline Of Theory and Problems Of Trigonometry: with calculator-based solutıons”, Third Edition, Mc Graw-Hill International Editions, Singapore.
- Baki,A.,(2000). Bilgisayar Donanımlı Ortamda matematik Öğrenme" Hacettepe Ünv. Eğt.Fak.Dergisi.19, 86-193
- Borba,M.C. Vevillarreal, M.E. (2005). Visualization, Matematics Education and computer enviroments. İn A.J.Bishop (Ed). Humans-Wıth-media and the reorganization of mathematical thinking. America:Springer Science + Business Media.