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http://dx.doi.org/10.7468/jksmee.2017.31.3.279

A Development of Self Learning Material for Mathematics Teachers' Understanding Galois Theory  

Shin, Hyunyong (Department of Mathematics Education, Korea National University of Education)
Publication Information
Communications of Mathematical Education / v.31, no.3, 2017 , pp. 279-290 More about this Journal
Abstract
This study proposes a self learning material for understanding the key contents of Galois theory. This material is for teachers who have learned algebraic structures like group, field, and vector space which are related with Galois theory but do not clearly understand how algebraic structures are related with the solvability of polynomials and school mathematics. This material is likely to help them to overcome such difficulties. Even though proposed material is used mainly for self learning, the teachers may be helped once or twice by some professionals. In this article, two expressions 'solvability of polynomial' and 'solvability of equation' have the same meaning and 'teacher' means in-service mathematics teacher.
Keywords
Solvability of Polynomials; Galois Theory; Self Learning;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 신현용.신기철 (2017). 대칭: 갈루아 이론, 매디자인. (Shin, H., & Shin, G. (2017). Symmetry: Galois Theory, Cheongju: mathesign.)
2 신현용.한인기 (2015). 다항식의 해법에 대한 수학교사의 대수 내용 지식과 자립연수 가능성 탐색, 한국수학교육학회지 시리즈 E <수학교육 논문집>, 29(4), 661-685. (Shin, H., & Han, I. (2015). A Study on Algebraic Knowledge of Mathematics Teachers on Solving Polynomials and Searching Possibility of Self Learning the Knowledge, Journal of The Korean Society of Mathematical Education Series E: Communications of Mathematical Education, 29(4), 661-685.)
3 신현용.한인기 (2016). 삼차방정식 해의 작도(불)가능성에 대한 학습 자료 개발, 한국수학교육학회지 시리즈 E <수학교육 논문집>, 30(4), 469-497. (Shin, H., & Han, I. (2016). Development of Learning Materials for (Non)-Solvability of Roots of Cubic Polynomials, Journal of The Korean Society of Mathematical Education Series E: Communications of Mathematical Education, 30(4), 469-497.)