CONTENT ANALYSIS OF STUDENTS’ CONSTRUCTIONS OF EIGHT POINTED, TEN POINTED, AND TWELVE POINTED STARS
CONTENT ANALYSIS OF STUDENTS’ CONSTRUCTIONS OF EIGHT POINTED, TEN POINTED, AND TWELVE POINTED STARS

Author : Özlem ÇEZİKTÜRK -- Abdülkadir KERPİÇ - Gülen ULUSOY
Number of pages : 244-254

Abstract

In Islamic patterns, 8-10 and 12 pointed stars are common but 7, 13, and 16 pointed star patterns exist. Former ones are easy to construct by Euclidean constructions whereas some need special approximations. In this study, 8 pointed, 10 pointed and 12 pointed stars were asked to be drawn by pre-service math teachers in each consecutive year with all necessary explanations. Ways of drawing such as origami, crossing n-gons, by points on a circle, approximation, guessing and by angles were identified. Original ways of construction as; circle and y=x/y=-x, triangles on top of each other’s hypotenuse could be seen. Choice of origami decreased with increased star complexity. They employed exact angles method even though they were prompted not to. As of 10 pointed stars, they used approximations of 9 degrees and 36 degrees and artisans’ s way. Students’ space filling star patterns were original

Keywords

: Islamic patterns, stars, Eucl

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