American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: Editor-in-chief: Ratko Pavlović
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American Journal of Educational Research. 2017, 5(3), 303-309
DOI: 10.12691/education-5-3-11
Open AccessArticle

Designing an ACE Approach for Teaching the Polar Coordinates

Vahid Borji1, and Michael. Gr. Voskoglou2

1Department of Mathematics, Ferdowsi University of Mashhad, Iran

2Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute of Western Greece, Patras, Greece

Pub. Date: March 23, 2017

Cite this paper:
Vahid Borji and Michael. Gr. Voskoglou. Designing an ACE Approach for Teaching the Polar Coordinates. American Journal of Educational Research. 2017; 5(3):303-309. doi: 10.12691/education-5-3-11


This paper continues a research started in an earlier work on teaching/learning the polar coordinates in the plane with the APOS/ACE instructional treatment of mathematics. Based on the Genetic Decomposition developed in our previous work, we design here an ACE circle and we apply it for teaching/learning the polar coordinates to a group of students of an Iranian university. For testing the effectiveness of this application the results of the experimental group are compared to those of a control group, for which the polar coordinates were taught at the same semester in the traditional, lecture-based way. The conclusions drawn enable us to make some minor revisions to the initial design of our Genetic Decomposition.

Cartesian and Polar Coordinates (PCO) and Curves APOS Theory Genetic Decomposition (GD) ACE Circle Mathematics Teaching

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