• Communications of Mathematical Education
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• v.23 no.2
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• pp.327-347
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• 2009

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.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.303-322
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• 2010

The purpose of this study was to analyze the effects of using the geometric manipulative for the development of spatial sense and thus to find out a better mathematics teaching and learning method that could help develop students' spatial senses. The two fifth grade classes were randomly chosen as an experimental group (31 students) and a control group (32 students), respectively. This study implemented nonequivalent control group pretest-posttest design of quasi-experimental design. The test instrument used in this study was a spatial sense test. The pretest and posttest were implemented with the same instrument. In addition, their classes were observed and videotaped, and the data and their study activities were analyzed. In conclusion, first, the geometric manipulative-aided activities contributes to developing students' spatial senses and their two sub-factors involves perceptual consistency and perception of spatial relationship. Second, the activities of grasping the components of solid figures, sketches and development figures by using the geometric manipulative contribute to boost students' perceptual consistencies and their perceptions of spatial relationship.

• School Mathematics
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• v.10 no.1
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• pp.79-103
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• 2008

The purpose of this study is for developing and using project tasks which can be used to connect schooling and home education for the other days of 5days-schooling; to promote students' mathematical ability and to let students have positive cognitions toward mathematics and self-controled learning attitudes. For this study, two classes of 4th graders(56 students) were sampled from a school in D city. Half of them were assigned to the experiment group(EG) and the other to comparison group(CG). In the experiment group, students completed 16 project tasks and we investigated whether there is an effect on students' academic achievement and mathematical disposition. Two kinds of test instruments, pre-test and post-test were used. The pre-test scores guaranteed that both groups were homogeneous. Post-test scores were used to identify three effects and the post-test scores were analyzed by t-test. The result of this study is as follows: (1) There was significant difference between EG and CG in academic achievement (p=0.010). (2) There was significant difference between EG and CG in mathematical disposition(p=0.007). (3) There was no significant difference between EG's pre-test and post-test in mathematical disposition at the 5% significant level. But the average score of mathematical disposition improved from 3.3333 to 3.5375. Mathematical disposition was composed of 6 factors. One of them was mathematical value and there was significant difference between EG's pre-test and post-test at the 5% significance level(p=0.030). But other factors were not. The average scores of mathematical reflection improved a little. So we can say that the activities with project tasks brought an positive influence on students' mathematical disposition.

• Journal of Elementary Mathematics Education in Korea
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• v.5 no.1
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• pp.37-53
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• 2001

This paper tries to find out about organizational and managemental aspect of Korean curriculum through a comparison between Korea's 7th elementary mathematics curriculum and that of Japan's elementary mathematics curriculum, which will start in m2 through researching various literatures. The main characteristic of this elementary mathematics curriculum is that Korea has organized a teaming program that tended to individual differences, and focused on student-centered activities and communication based on constructivism. On the other hand, Japan reduced learning contents a lot by running 5-schooldays a week so that 80% of teaching time can be spent to help the students master mathematical contents of the textbook. This leaves 20％ of teaching time to be used for improving mathematical thinking power as a foundation of creativity through mathematical activities. Korea's teaching time spent for elementary mathematics is about 80％ of Japan's, which is also less than that of other country's. Less time in teaming mathematics will lead to decrease in teaming ability. Therefore, there is a need for increased teaching time in mathematics. Korea's revision of curriculum is about 5 years which is often compared to that of Japan's 10 years. Frequent revising is good in that it reflects the social demand, but it can cause much confusion and problems in accepting and applying its program in a real classroom setting, which is why it needs to be looked at again. The direction, objective and assesment of revision fits the demands of international trends and essentials of mathematics. Japan puts its emphasis on learning through repetition and Korea puts its emphasis on problem solving and communication. Regarding assesment, both Korea and Japan is looking for ways to find various assessing ways which will focus on mathematical process rather than the mathematical results, and also will put emphasis on criterion-directed assesment to measure goal achievements. However Japan emphasize on using report cards of assesment to help mathematics learning.

• Journal of The Korean Association of Information Education
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• v.26 no.5
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• pp.307-315
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• 2022

The purpose of this study was to design a training program for pre-service elementary teachers, incorporating the concepts of extended reality technologies. This program contained the basic skills necessary for them to utilize in their future classrooms. To accomplish this, 12 undergraduate students of various majors enrolled in one of Korea's national universities of education were selected as research subjects. For a total of 6 times over 6 weeks, they participated in a training program learning the basic concepts of virtual, augmented, and mixed reality, as well as creating their own education software to use in simulated classes. To improve the quality of future research efforts, this study found it would be beneficial to: 1) expand the relevant support equipment, 2) provide students with preliminary, background knowledge of text-based programming, 3) introduce short-term, more intensive training, and 4) improve the survey methods for this research.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.63-77
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• 2016

SENKs (Students who Emigrated from North Korea to South Korea) are exposed to the general problem of Su-Po-Ja(mathematics give-uppers) as well as their own difficulty in learning mathematics. In this study, we conducted the FGI (focus group interview) in order to examine the recognition on mathematics teaching and learning in South Korea with 6 SENKs and 3 teachers who teach the SENKs. As a result, it was found that SENKs' had difficulties in understanding math because of the differences in math terminology used in South and that in North Korea, the unfamiliar problem situation used in math lesson, and the shortage of time for solving math problem. And the teachers reported that they had difficulties in teaching great deal of basic math, SENKs' weak will to learn math, and SENKs' lack of understanding about problem situation because of the inexperience about culture and society in South Korea.

• Communications of Mathematical Education
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• v.15
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• pp.119-126
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• 2003

학교 현장에서 아이들을 지도하다 보면 문제해결력이 상당히 낮다는 것을 자주 경험하곤 한다. 따라서 그러한 문제점에 대하여 고민하고 다양한 방법을 생각해 보는데, 그 해결 방안으로 소집단 협력학습을 실시하여 아이들의 전반적인 문제해결능력을 높여 보고자 본 연구를 실시하게 되었다. 그러기 위하여 소집단의 구성을 수학 성적을 토대로 하여 5단계로 분류하여 실시하였다. 이에 따른 연구 문제로는 크게 3가지로 정하였는데 다음과 같다. 첫째, 소집단 협력학습이 일제 학습에 비하여 수학 문제해결 능력을 향상시켰는가? (실험반과 비교함) 둘째, 소집단 협력학습이 개인별 수학 문제해결능력을 향상시켰는가? (개인별 비교; 실험반에 국한됨) 셋째, 소집단 협력학습이 수학 교과에 대한 아동들의 수학적인 태도변화를 가져왔는가? 위에서 제시한 연구 문제들을 해결한 결과, 실험반이 비교반보다 문제해결력이 유의미한 수준으로 높게나왔고, 또한 5단계로 분류한 아동들 개개인의 문제해결력에서는 특히 중하위권에 있는 아동들이 실험 후에 문제해결력이 높게 나왔다. 끝으로, 아동들의 수학적인 태도 변화에 관한 설문에서는 소집단 협력학습으로 인하여 수학에 대한 흥미와 자신감이 많이 생긴 것으로 나왔다. 따라서 7차 교육과정에서 주장하는 단계형 수준별 교육과정을 실행하는데 있어서 소집단 협력학습이 하나의 대안이 될 수 있을거라 생각하고, 아동들의 문제해결력을 높이는 또 하나의 수업 형태로서도 시도해 볼만한 것이라 생각한다.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.1
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• pp.39-64
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• 2005

The purpose of this study is to transform questions in the 7th curriculum to open-ended problems and exam students' attitude towards open-ended problems. Research questions in this thesis are as follows: First, to transform questions in the 7th curriculum to open-ended problems and apply to a class in the fourth grade D elementary school. Second, to find how students respond to learning mathematics with open-ended problems. As a result of this study, the following are identified. First, the students showed positive reactions towards learning mathematics with open-ended problems. Those experience with open-ended problems make student solve mathematics problems with interest and confidence. Second, both good and bad students in the math class show interest and concentration toward open-ended problem. But a few students show less interest towards those problems. Third, through discussion about problem-solving with open-ended problems, students take part in math class actively and show respect one another. Fourth, especially students show more interest and confidence towards the open-ended problems transformed from mathematics textbook and like the constructive open-ended problems.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.283-308
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• 2018

'Divisor and multiple' is the topic included both in the elementary and in the secondary mathematics curriculum, but there has been lack of research on it. It has been reported that students have a difficulty in understanding the meaning of the greatest common divisor (GCD) and the least common multiple (LCM), while they can find out GCD and LCM. Against the lack of research on how to overcome this difficulty, this study designed teaching methods with a model for visualization to emphasize the meanings of divisor and multiple in finding out GCD and LCM, and implemented the methods in one fourth grade classroom. A questionnaire was developed to explore students' solution methods and interviews with focused students were implemented. In addition, fourth-grade students' thinking was compared and contrasted with fifth-grade students who studied divisor and multiple with the current textbook. The results of this study showed that the teaching methods with a specific model for visualization had a positive impact on students' conceptual understanding of the process to find out GCD and LCM. As such, this study provides instructional implications on how to foster the meanings of finding out GCD and LCM at the elementary school.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.361-383
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• 2011

This study is on teaching about the areas of plane figures through open instruction, which aims to discover the pedagogical meanings and implications in the application of open methods to math classes by running the Math A & B classes regarding the areas of parallelogram, triangle, trapezoid and rhombus for fifth graders of elementary school through open instruction method and analyzing the educational process. This study led to the following results. First, it is most important to choose proper open-end questions for classes on open instruction methods. Teachers should focus on the roles of educational assistants and mediators in the communication among students. Second, teachers need to make lists of anticipated responses from students to lead them to discuss and focus on more valuable methods. Third, it is efficient to provide more individual tutoring sessions for the students of low educational level as the classes on open instruction methods are carried on. Fourth, students sometimes figured out more advanced solutions by justifying their solutions with explanations through discussions in the group sessions and regular classes. Fifth, most of students were found out to be much interested in the process of thinking and figuring out solutions through presentations and questions in classes and find it difficult to describe their thoughts.