Go to the main menu
Skip to content
Go to bottom
REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
East Asian mathematical journal
Journal Basic Information
Journal DOI :
Youngnam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 30, Issue 5 - Sep 2014
Volume 30, Issue 4 - Aug 2014
Volume 30, Issue 3 - May 2014
Volume 30, Issue 2 - Feb 2014
Volume 30, Issue 1 - Jan 2014
Selecting the target year
A Study on Generating and Proving Inequalities using Parameterization to Elementary Symmetric Polynomials
Ko, Dea-Hyeon ; Park, Jeong-Min ; Baek, Eun-Ha ; Kim, Moonsup ; Han, Inki ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 93~121
DOI : 10.7858/eamj.2014.009
In this paper we study generating and proving methods of symmetric inequalities. We analyze various literatures related with proofs of symmetric inequalities. As a result, we can describe generating method of symmetric inequalities, and suggest some symmetric inequalities that are generated by using parameterization to elementary symmetric polynomials. And we are able to classify some proving methods, and show proofs of symmetric inequalities.
The Changes of Learning Attitude in Mathematics for Underachiever of Learning Mathematics Using Mentoring
Kwon, Su Jin ; Lim, Daekeun ; Ryu, Hyunah ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 123~148
DOI : 10.7858/eamj.2014.010
The purpose of this article described the effects of mentoring program to the underachiever's attitude in learning Mathematics. In order to do this research, a mentoring class had been carried out for 30 weeks, with two students who was underachievers in mathematics. It was carried out contrastive analysis on the student's learning attitude in the math class before and after the mentoring, using a questionnaire of learning attitude in math with 40 questions, filling the blanks in sentence, recording files of class, and mentoring journals. As a result, before taking the mentoring class, students who were participated in the mentoring program were negative and low in five subordinate concepts(learning attitude, such as their tendency, interest, desire, confidence, attitude, and studying habits in math). However, after the mentoring class, the two students were remarkably changed in positive way on the five concepts in learning mathematics. Therefore, it is helpful to underachievers in mathematics if the mentoring program is used since it yields a positive impact on the learning attitude.
A Study on the Optimization Problem Solving utilizing the Quadratic Curve using the Dynamic Geometry Software
Kim, Jung Soo ; Jeon, Bo Hyun ; Chung, Young Woo ; Kim, Boo Yoon ; Lee, Yan ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 149~172
DOI : 10.7858/eamj.2014.011
The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.
The reinterpretation and the visualization of the cube duplication problem solving in medieval Islam
Kim, Hyang Sook ; Pak, Jin Suk ; Lee, Eun Kyoung ; Lee, Jae Don ; Ha, Hyoung Soo ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 173~195
DOI : 10.7858/eamj.2014.012
This study, utilizing several features about plane figures covered in the current secondary curriculum of mathematics and reviewing two solutions to cube duplication problem presented by Menaechmus, proving the solution by Nicomedes and visualizing solutions based on Apollonius' 'Conics' by medieval Islam geometricians such as Ab
suf al-Mu'taman ibn H
d, introduce to teachers and students in the field where the question of cube duplication problem comes from and which solving method has developed it and suggests new methods for visualization using dynamic geometry program as well so that the contents reviewed can be used in the filed. The solving methods to cube duplication problem in this paper are very creative and increase the practicality, efficiency and value of Mathematics, and provide students and teachers with the opportunities to reconfirm the importance and beauty of basic knowledge in the secondary geometry in the process of visualization of drawing figures using dynamic geometry program.
A Case Study of Geometry Teaching and Learning based on Waldorf Education Methods in a Korean Alternative School
Song, Man Ho ; Kim, Young-Ok ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 197~222
DOI : 10.7858/eamj.2014.013
The purpose of this research is to find out if it is possible to apply the Waldorf School's mathematics education method to Korean alternative schools which are run under the national curriculum. To achieve this, the researcher conducted class on geometry for three weeks with ten 7th graders(four girls and six boys) from Apple Tree Waldorf alternative school in Busan, which has adopted Valdorf education courses. For the first two weeks, the class was about 'fundamental geometrical construction', and then it was evaluated. On the third week, the lesson was on plane figures, followed by a test with 9 plane figure questions that are based on general middle school mathematics curriculum. The result shows that most of the students understood 'fundamental geometrical construction'. When it comes to the test on 'plane figures', seven students got 8 out of 9 right, two students got 6 out of 9 right, and one of them had difficulty solving the questions. According to the results of this research, it is thought that there will be no problem for students to understand mathematical concept even if the Waldorf School's mathematics education method is applied to Korean alternative schools. Also, the Waldorf School's mathematics education method is considered to be a good teaching model for the Korean mathematics curriculum which places emphasis on 'mathematical creativity' in regard to the curriculum and contents.
A Study on Secondary School Student's Recognition of Vision-dependent Jump in the Geometry Proof
Kang, JeongGi ;
East Asian mathematical journal , volume 30, issue 2, 2014, Pages 223~248
DOI : 10.7858/eamj.2014.014
Although a figure expression has a role of mediator in the geometry proof, it is not admitted to prove based on a vision-dependent feature. This study starts from the problem that although a figure expression has an important role in the geometry proof, a lot of students don't understand the limit of vision-dependent feature in the figure expression. We will investigate this problem to understand cognitive characteristic of students. Moreover, we try to get the didactical implications. To do this, we investigate the cognitive ability for a limit of vision-dependent feature, targeting a class of middle school seniors And we will have a personal interview with four students who show a lack of sense of limit of vision-dependent feature in the figure expression and two students for who it is difficult to judge that they don't understand the limit of vision-dependent feature in the figure expression. We will observe and analyzed the cognitive characteristic of six students. Based on the analysis, we will finally discuss on the didactical implications to help students understand the limit of vision-dependent feature in the figure expression.