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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Communications of Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
Editor in Chief :
Sang-Gu Lee, Hye-Jeang Hwang
Volume & Issues
Volume 23, Issue 4 - Nov 2009
Volume 23, Issue 3 - Sep 2009
Volume 23, Issue 2 - May 2009
Volume 23, Issue 1 - Feb 2009
Selecting the target year
An Analysis of Geometrical Differentiated Teaching and Learning Materials Using Inner Structure of Mathematics Problems
Han, In-Ki ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 175~196
In this paper we analyze Ziv's geometrical differentiated teaching and learning materials using inner structure of mathematics problems. In order to analyze inner structure of mathematics problems we in detail describe problem solving process, and extract main frame from problem solving process. We represent inner structure of mathematics problems as tree including induced relations. As a result, we characterize low-level problems and middle-level problems, and find some differences between low-level problems and middle-level problems.
A Study on the Mathematics Education of Magnet High Schools in Korea
Whang, Woo-Hyung ; Lee, Eun-Jeong ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 197~230
The purpose of the study was to reveal the current situations and suggest some ideas to improve the mathematics education of magnet high schools in Korea. Magnet high schools were founded to offer special professional education for students who are interested in a specialized area. Students were selected based on their abilities and potentials in those fields. In Magnet high schools, the curriculums were constructed based on these objectives. Also close connections were established with universities through professional education. However, many magnet high schools are facing difficulties to chase two rabbits at the same time. Those are university admissions and specialized education for near future employment. Furthermore, increasing number of students who want to study at the university level cause more difficulties. The results of the study indicated several suggestions to improve current situation of the magnet high schools.
Good Mathematics Instruction: Hearing Teachers' Voices
Kwon, Mi-Sun ; Pang, Jeon-Suk ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 231~253
This paper investigated the views of effective mathematics instruction on the part of teachers. The study was carried out a survey with 223 elementary school teachers in Korea. The questionnaire consisted of the following 4 main categories with a total of 48 factors: (a) the curriculum and content, (b) teaching and learning, (c) classroom environment and atmosphere, and (d) assessment. Some ideas teachers revealed about what would enable good mathematics teaching coincided with previous research. Specifically, teachers agreed with the idea of consideration of students' individual differences or focus on concepts. However, there were differences with regard to the use of technology and the importance of learning environment, which have been emphasized in mathematics education literature. Considering that the teacher plays a key role in implementing good instruction, this paper emphasizes us to attend to teachers' perspectives in order to initiate good teaching at the actual classroom.
The Present Situation of the University Mathematics Education and the Efficient Methods of Mathematics Education for the 7th Curriculum Generation
Kim, Kwang-Hwan ; Kim, Byung-Hak ; Kim, Kyung-Suk ; Park, Eun-Ah ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 255~277
Currently Science and technology are changing so fast these days, educating competent and creative person, majoring in natural sciences, including mathematics., becoming more and more important. But, in Korea, there are many problems in high school and university education program, so performance level in mathematics is decreasing and avoiding mathematics and natural sciences is increasing. Naturally the numbers of science oritented students in high school are decreasing and ability in mathematics, in particular calculus, is decreasing. Hence, the above situation leads to a reduction of scientific manpower. In this point of a view, we analyse the situation of the downturn of the ability of the science, especially calculus, among engineering majored freshmen. We also study many data reported by Ministry of Education and Science, Korea and scholar societies. From this study we conclude that the essential rerasons for the above situations are curriculum and the system of the entrance examination of the university, and we give suggestions for solutions of such a situation.
Effective Management Strategies of the Subjects in the University-level Program
Pyo, Yong-Soo ; Park, Joon-Sik ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 279~296
In this paper, we utilize student survey, scholastic level assessment and class evaluation in order to address the problems and find out the improvements on operating the subjects in the university-level program(UP), focusing on the Calculus I. We also propose effective management strategies and learning methods for the UP classes consisting of excellent high school students.
Exploring polyhedrons through history of mathematics and mathematical experiments
Cho, Han-Hyuk ; Song, Min-Ho ; Choi, Jae-Yeun ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 297~312
We study the process of horizontal and vertical mathematization on the polyhedron problems through the history of mathematics, computer experiments, problem posing, and justifications. In particular, we explore the Hamilton cycle problem, coloring problem, and folding net construction on the Archimedean and Catalan polyhedrons. In this paper, we present our mathematical results on the polyhedron problems, and we also present some unsolved problems that we found. We found that the history of mathematics and mathematical experiments are very useful in such R&E exploration as polyhedron problem posing and solving project.
On the design of a cyber mathematics mentoring system
Cho, Han-Hyuk ; Song, Min-Ho ; Jin, Man-Young ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 313~325
The purpose of this paper is to design a cyber mathematics mentoring system which is helpful for interactive mathematics mentoring among mentors and learners. We review theories about various technological tools that are related to students' interest, participation and motivation in the course of on-line and off-line activities, and we also research the effectiveness of such tools. Also we consider educational implications of the cyber mathematics mentoring system for pre-service teachers, in-service teachers, learners and mentors.
The Effects of Mathematical Communication-Centered Teaching Using Peer Feedback on Mathematics Learning
Oh, Young-Youl ; Oh, Tae-Wook ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 327~347
The purpose of the present study is to investigate the effects of mathematical communication-centered teaching using peer feedbacks on students' mathematics achievement and mathematical dispositions toward mathematics, and then this study examined the characteristics of feedbacks used by students. To do this study, two sixth grade classes selected from an elementary school in Seoul participated in the current study; one class for a treatment group applying mathematical communication-centered teaching using peer feedback, and the other for a comparison group applying traditional teaching using teacher-centered communication. The results of this study showed the fact that a treatment group of mathematical communication-centered teaching applying peer feedback scored statistically higher than a comparison group applying teacher-centered communication with respect to both students' mathematical achievement and disposition. Especially, this communication-centered teaching program focused on peer feedback was more effective to middle or lower level students than higher level students. In addition, mathematical communication-centered teaching applying peer feedbacks helps students reflect their own thinking process about problem solving, and students experienced the improvement of their confidence about mathematics from opportunities to provide peers with feedbacks. Finally, the present study suggests the important role of communication in mathematics learning, particularly student-to-student feedbacks rather than teacher-to-students feedbacks. That is to say, students need to have many opportunities to represent their own mathematical thinking processes using mathematical language.
A Case Study of the Result Analysis of Selection Test Items of Gifted Children in mathematics
Ryu, Sung-Rim ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 349~381
The purpose of this study is to propose issues in selecting gifted children in mathematics by in-depth analysis of the selection process and items. In order to accomplish the purpose, the rate of right and wrong answers were examined based on the reaction of the students by 1st, 2nd and 3rd selection test. Also, the types of the errors were identified for the 2nd and 3rd selection test. According to the study results, the rate of right answers was low in short response questions and essay questions rather than in multiple-choice questions. In addition, the academic achievements were lower in the fields other than number & operations and logic. The conclusion of this study is that following studies regarding selection of gifted children are required linked with the project tasks and programs.
Research on Analysis of Factors Affecting Mathematics Academic Achievements: a Case Study of an Elementary School in Busan
Park, Dong-Joon ; Choi, Soo-Yeong ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 383~398
We conduct a survey on mathematics academic achievement to 4th, 5th, and 6th grade elementary school students at Dong-Gu in Busan in order to provide teachers in elementary schools with basic research data. The survey questionnaire includes home background, private education, the difficulty degree of mathematics textbook, practical usage of computers, group-teaching, teaching methods, preview, review, homework amount, learning attitude, problem solving ability, interest for mathematics, and the relationships of a home room teacher and friends. Based on survey data we perform factor analysis to find major factors affecting mathematics academic achievement. We identify if there are statistically significant differences in responses of survey for gender group and grade group with regard to survey questions belonging to the major factors obtained in factor analysis.
A study on the 6th graders' learning algebra through generalization of mathematical patterns
Kim, Nam-Gyun ; Lee, Eun-Suk ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 399~428
2007 Renewed Korea Elementary Mathematics Curriculum introduce algebra 6th grade. According to many studies about introducing algebra, it is desirable to teach 6th graders algebra through generalization of patterns. In this study, 6th graders' understanding processes and difficulties in pattern generalization were analyzed and possiblities of introducing algebra to 6th graders through pattern generalization were examined.
A participatory action research on the developing and applying mathematical situation based problem solving instruction model
Kim, Nam-Gyun ; Park, Young-Eun ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 429~459
The purpose of this study was to help the students deepen their mathematical understanding and practitioner improve her mathematics lessons. The teacher-researcher developed mathematical situation based problem solving instruction model which was modified from PBL(Problem Based Learning instruction model). Three lessons were performed in the cycle of reflection, plan, and action. As a result of performance, reflective knowledges were noted as followed points; students' mathematical understanding, mathematical situation based problem solving instruction model, improvement of mathematics teachers.
Some Semiotic Applications in Mathematics Education
Chung, Chy-Bong ;
Communications of Mathematical Education, volume 23, issue 2, 2009, Pages 461~481
The semiotic approach to the mathematics education has been studied in last 20 years by PME, ICME conferences. New cultural developments in multi-media, digital documents and digital arts and cultures may influence mathematical education and teaching and learning activities. Hence semiotical interest in the mathematics education research and practice will be increasing. In this paper the basic ideas of semiotics, such as Peirce triad and Saussure's dyad, are introduced with some mathematical applications. There is some similarities between traditional research topics for concept, representation and social construction in mathematics education research and semiotic approach topics for the same subjects. some semiotic applications for an arithmetic problem for work, induction, deduction and abduction syllogisms with respect to Peirce's triad, its meaning in scientific discoveries and learning in geometry and symmetry.