Proof of the Drawing Possibility Based on the Galois Theory for Teacher Reeducation

Karasawa Toshimitsu

(YPM Mara Education Foundation/Univertiti Kuala Lumpur, Japan)

Abstract: This paper aims to develop the high quality teaching materials for teacher remedial education. I did teaching materials development about the drawing figures of the regular pentagon. Specifically, they are Ptolemy’s method of constructing an equilateral pentagon for Western mathematics, those of Hirano Yoshifusa and Ajima Naonobu with regard Japanese mathematics and a proof of the drawing figures possibility of the regular pentagon based on the Galois Theory. After lecturing to a teacher with these teaching materials, I was able to really get a favorable reception from expert teachers. This gives an extremely important theoretical viewpoint in developing the high quality teaching materials for teacher remedial education.

Key words: goloistheoy, pentagon, teacher reeducation