eng Science and Education Publishing American Journal of Educational Research 2327-6150 2016-10-20 4 16 1149 1156 10.12691/education-4-16-5 EDUCATION20164165 article Vahid Borji 1 Michael. Gr. Voskoglou voskoglou@teiwest.gr, mvosk@hol.gr 2 Department of Mathematics, Ferdowsi University of Mashhad, Iran Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute of Western Greece, Patras, Greece A Genetic Decomposition (GD) is developed in this paper, in terms of the APOS instructional treatment of mathematics, for teaching and learning the polar coordinates. The design of the GD is based on the conclusions obtained by a written test and by oral interviews performed on a group of students of the Physics Department of the University of Neyshabur, Iran. http://pubs.sciepub.com/education/4/16/5/education-4-16-5.pdf Polar and Cartesian Coordinates and Curves APOS Theory Genetic Decomposition (GD) Triad Mechanism of Schema Development