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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
The Mathematical Education
Journal Basic Information
Journal DOI :
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 48, Issue 4 - Nov 2009
Volume 48, Issue 3 - Aug 2009
Volume 48, Issue 2 - May 2009
Volume 48, Issue 1 - Feb 2009
Selecting the target year
The study of instruction on permutation and combination through the discovery method
Kim, Mi-Jeong ; Kim, Yong-Gu ; Jung, In-Chul ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 113~139
In this study, we apply the discovery method in the instruction of Permutation and Combination, and examine the effect upon the student's emotion after the instruction change. The research progressed through the instruction by the discovery method for two students of highschool Y. This research has been done for about one and half year from November 2006 to February 2008. We draw our research results through a series of processes consisted of videotaping a classroom activities, recording interview details and writing an observation diary, with the aim of the experimental instruction. In the end, we get to the conclusion that students showed a strong positive attitude on the discovery instructional method and that diverse discovery method has supplementary relation in classwork.
Roles of Analysis In Problem Solving
Yoo, Yoon-Jae ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 141~148
The article discusses roles of analysis in problem solving, especially the problem posing. The author shows the procedure of analysis like the presentation of the hypothesis, the reasoning for the necessary conditions and the sufficient condition. Finally the author suggests that the analysis should be reviewed in the school mathematics.
An Analysis of Problem-solving Ability and Mathematical Justification of Mathematical Essay Problems of 5th Grade Students in Elementary School
Kim, Young-Sook ; Pang, Jeong-Suk ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 149~167
This study was aimed to examine problem-solving ability of fifth graders on two types of mathematical essay problems, and to analyze the process of mathematical justification in solving the essay problems. For this purpose, a total of 14 mathematical essay problems were developed, in which half of the items were single tasks and the other half were data-provided tasks. Sixteen students with higher academic achievements in mathematics and the Korean language were chosen, and were given to solve the mathematical essay problems individually. They then were asked to justify their solution methods in groups of 4 and to reach a consensus through negotiation among group members. Students were good at understanding the given single tasks but they often revealed lack of logical thinking and representation. They also tended to use everyday language rather than mathematical language in explaining their solution processes. Some students experienced difficulty in understanding the meaning of data in the essay problems. With regard to mathematical justification, students employed more internal justification by experience or mathematical logic than external justification by authority. Given this, this paper includes implications for teachers on how they need to teach mathematics in order to foster students' logical thinking and communication.
Mathematics Classroom and Postmodernism
Kim, Boo-Yoon ; Lee, Ji-Sung ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 169~182
This study deals with the postmodern perspectives in mathematics classroom. Today, mathematics and mathematics education can be explored through postmodernism because they have very different practices, pluralism, and anti-authoritarianism. Thus practices and researches of mathematics classroom are coherent to postmodern perspectives such as situated theory, anthropological approach, and interactionism. In these socio-cultural views, learners' milieu and participation, language of classroom activities, and culture of mathematics classroom are considered very important. Therefore, it is required that both mathematics educators and researchers make a change toward postmodernism in attitude and subject of mathematics classroom research.
Ability to Shift a Viewpoint and Insight into Invariance in Stage of Mathematical Problem Solving Process
Do, Jong-Hoon ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 183~190
This is a following study of the preceding study, Flexibility of mind and divergent thinking in problem solving process that was performed by Choi & Do in 2005. In this paper, we discuss the relationship between ability to shift a viewpoint and insight into invariance, another major consideration in mathematical creativity, in the process of mathematical problem solving.
The Effects of Time Allocation in Lecturing on the Mathematical Academic Achievement of Freshmen in Institute of Technologies
Kim, Sung-Yeun ; Kang, Sang-Jin ;
The Mathematical Education, volume 48, issue 2, 2009, Pages 191~206
In this study, we investigate the effects of the methods of time allocation in lecturing on the mathematical academic achievement of freshmen in institute of technologies. The subjects are 392 freshmen from three universities participated in ABEEK(Accreditation Board for Engineering Education of Korea). They belong to three groups in accordance with the methods of time allocation in lecturing; 75 minutes twice a week(79 students) and 150 minutes continuously once a week(77 students) (university 1 of 156 students), 100 minutes twice a week(56 students) and 200 minutes continuously once a week(60 students) (university 2 of 116 students) and 50 minutes and 100 minutes separately once a week(62 students) and 150 minutes continuously once a week(58 students) (university 3 of 120 students). The results of this paper are summarized as follows: Firstly, the achievement of separate time-allocation groups is higher than that of continuous time-allocation groups. Secondly, the achievement of middle class students and low class students has higher effects when they are taught by using the methods of separate time-allocation in lecturing. Finally, the achievement of groups using 75 minutes twice a week is higher than that of using 50 minutes and 100 minutes separately once a week. In conclusion, this study suggests that the method of separate time allocation in lecturing using 75 minutes twice a week could be an advisable means to help those who achieve middle and low scores in the first college mathematics.