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Dubinsky, E. & McDonald, M. A., APOS: A constructivist theory of learning in undergraduate mathematics education research. In: D. Holton et al. (Eds.), The Teaching and learning of Mathematics at University Level: An ICMI Study, 273-280, Kluwer Academic Publishers, Dordrecht, Netherlands, 2001.

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Article

Designing an ACE Approach for Teaching the Polar Coordinates

1Department of Mathematics, Ferdowsi University of Mashhad, Iran

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


American Journal of Educational Research. 2017, Vol. 5 No. 3, 303-309
DOI: 10.12691/education-5-3-11
Copyright © 2017 Science and Education Publishing

Cite this paper:
Vahid Borji, 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.

Correspondence to: Vahid  Borji, Department of Mathematics, Ferdowsi University of Mashhad, Iran. Email: vahid.borji@stu.um.ac.ir, Vahid_math@yahoo.com

Abstract

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.

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