• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.105-129
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• 2016

The elements of mathematical processes include mathematical reasoning, mathematical problem-solving, and mathematical communications. Proportion reasoning is a kind of mathematical reasoning which is closely related to the ratio and percent concepts. Proportion reasoning is the essence of primary mathematics, and a basic mathematical concept required for the following more-complicated concepts. Therefore, the study aims to analyze the proportion reasoning ability of sixth graders of primary school who have already learned the ratio and percent concepts. To allow teachers to quickly recognize and help students who have difficulty solving a proportion reasoning problem, this study analyzed the characteristics and patterns of proportion reasoning of sixth graders of primary school. The purpose of this study is to provide implications for learning and teaching of future proportion reasoning of higher levels. In order to solve these study tasks, proportion reasoning problems were developed, and a total of 22 sixth graders of primary school were asked to solve these questions for a total of twice, once before and after they learned the ratio and percent concepts included in the 2009 revised mathematical curricula. Students' strategies and levels of proportional reasoning were analyzed by setting up the four different sections and classifying and analyzing the patterns of correct and wrong answers to the questions of each section. The results are followings; First, the 6th graders of primary school were able to utilize various proportion reasoning strategies depending on the conditions and patterns of mathematical assignments given to them. Second, most of the sixth graders of primary school remained at three levels of multiplicative reasoning. The most frequently adopted strategies by these sixth graders were the fraction strategy, the between-comparison strategy, and the within-comparison strategy. Third, the sixth graders of primary school often showed difficulty doing relative comparison. Fourth, the sixth graders of primary school placed the greatest concentration on the numbers given in the mathematical questions.

• Education of Primary School Mathematics
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• v.18 no.2
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• pp.107-122
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• 2015

This research aims to suggest a math-based convergence instructional model. The convergence instructional model with emphasis on problem solving ability was developed based on each subject and the STEAM model. Then, the appropriateness and limit of the classroom model were investigated, through examining the aspects of its realization in each stage of the class instruction model while enacting a four part lesson on 6th graders. As a result, each stage of the classroom instruction model influenced in helping the students discover various problem solving skills, critically examine the process of the solving, and attain positive perspectives on the classroom instruction. However, appropriate intervention of the teacher was needed to lead the students to further synthesize the explored issues in mathematics and to expand the scope of their emotional experience. This paper closes with suggestions in implementing math based convergence lessons.

• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.163-177
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• 2006

A new teaching-learning method is needed to improve creative problem-solving ability of the gifted students at mathematics. In response to this demand, I applied mentor-project studying to the mathematically gifted class students of Chungnam Science High School. The purpose of this monograph is to analyze in what situations they demonstrated mathematical creativity and whether the interactions among the gifted in the process of studying were of great help toward improving creativity. The effectiveness of mentor-project studying was especially verified by the analysis of creative problem-solving test results.

• Journal of Digital Contents Society
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• v.13 no.1
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• pp.67-74
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• 2012

Students with learning disabilities need special education programs. In the traditional class, those students may not be satisfied with their studies. Thus, it is important to provide individualized class for those students. Classes using smart devices may give one of the solutions for individualized class. Unlike the typical mathematical problems, written problems require students to use various cognitive strategies, mathematical reasoning, inference ability, and so on. In this sense, written problems are good tools to develop the logical minds for students with learning disabilities. In this paper, a WOE-based smart learning system is proposed to help those students develop learning abilities. The proposed system has the following characteristics. First, students can learn naturally problem-solving abilities by following the work-out examples given from experts. Second, the proposed system can invoke motivation and interests of students using attractive icons and guidance rules provided with smart phone. Third, the proposed system can provide self-directed study for those students. The proposed system is applied for some students with learning disabilities. The following results are obtained. First, the individualized study can be possible since the system can provide continuous feedbacks and level-differentiated classes. Second, students can increase written problem solving abilities with natural understanding of study contents from smart phone. Finally, satisfaction, study motivation, and self-concept of students are increased through their successful experience during study processes.

• Education of Primary School Mathematics
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• v.3 no.1
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• pp.79-88
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• 1999

This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.

• Education of Primary School Mathematics
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• v.19 no.3
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• pp.177-191
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• 2016

Students can calculate the addition and subtraction problem using informal knowledge before receiving the formal instruction. Recently, the value that a computation lesson focus on the understanding and developing the various strategies is highlighted by curriculum developers as well as in reports. Ideally, a educational setting and classroom culture reflected students' learning and problem solving strategies. So, this paper analyzed the similarity and difference with respect to the numeric sentence and word problem in the addition and subtraction. The subjects for the study were 100 third-grade Korean students and 68 third-grade American students. Researcher developed the questionnaire in the addition and subtraction and used it for the survey. The following results have been drawn from this study. The computational ability of Korean students was higher than that of American students in both the numeric sentence and word problem. And it was revealed the differences of the strategies which were used problem solving process. Korean students tended to use algorithms and numbers' characters and relations, but American students tended to use the drawings and algorithms with drawings.

• Education of Primary School Mathematics
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• v.2 no.1
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• pp.3-13
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• 1998

In mathematics education we have focused on how to improve the problem-solving ability, which makes its way to the new direction with the introduction of meta-cognition. As meta-cognition is based on cognitive activity of learners and concerned about internal properties, we may find a more effective way to generate learners problem-solving power. Its means that learners can regulate cognitive process according to their gorls of learning by themselves. Moreover, they are expected to make active participation through this process. If specific meta problems designed to develop meta-cognition are offered, learners are able to work alone by means of their own cognition and regulation while solving problems. They can transfer meta-cognition to the other subjects as well as mathematics. The studies on meta-cognition conducted so far may be divided into these three types. First in Flavell(［3］) meta-cognition is defined as the matter of being conscious of one's own cognition, that is, recognizing cognition. He conducted an experiment with presschoolers and children who just entered primary school and concluded that their cognition may be described as general stage that can not link to specific situation in line with Piaget. Second, Brown(［1］, ［2］) and others argued that meta-cognition means control and regulation of one's own cognition and tried to apply such concept to classrooms. He tried to fined out the strategies used by intelligent students and teach such types of activity to other students. Third, Merleary-Ponty (1962) claimed that meta-cognition is children's way of understanding phenomena or objects. They worked on what would come out in children's cognition responding to their surrounding world. In this paper following the model of meta-cognition produced by Lester (［7］) based on such ideas, we develop types of meta-cognition. In the process of meta-cognition, the meta-cognition working for it is to be intentionally developed and to help unskilled students conduct meta-cognition. When meta-cognition is disciplined through meta problems, their problem-solving power will provide more refined methods for the given problems through autonomous meta-cognitive activity without any further meta problems.

• Journal of the Korean School Mathematics Society
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• v.4 no.1
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• pp.91-101
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• 2001

Nowadays the number of students that is losing their interest as well as learning desire in mathematics is increasing because of lack of logical thought creative power and abstract expression that present-day mathematics requires by reason of discrepancy of extreme scholastic ability by speciality of mathematics. In these conditions, we reduce the number of learning depression by bringing about learning desire or learning interest on mathematics, and students learn effective learning methods to be voluntary learning of discovery themselves that studies basic concepts, principles, rules through logical thought of students to solve difference of scholastic ability, thus we assumed that debate studies through small group activities in ability group would be one of ways to improve learning power, so the results of our research are as follows; 1. Debate studies through small group activities were very effective because of reinforcing the achivement level of students. 2. By this learning method, an individual or cooperrative learning was fostered, and lively discussions were accomplished. And learning attitudes of students were changed by the extension of cooperative learning abilities through advices or by themselves. 3. A personal opinion is payed regard by accepting an individual idea in the process of making questions. Learners can correct wrong concepts in the process of correcting wrong answers. So if we apply above-mentioned studies with easy contents from the lower grades, the effectiveness would increase as learners go to the higher grade. According to the results of various researches as follows; "The teaching-learning method oriented coopperative debate studies is effective to find solutions to mathematical problems." If small group activities are applied in the educational situation to search the course of a desirable cooperation learning through small group activities to improve scholastic abilities for a discoverable problem-solving power. I think that the teaching-learning method oriented cooperative debate studies is one of the most desirable methods to increase the problem-solving ability.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.455-469
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• 2007

In this study, we want to being helpful to improvement of ability to solve mathematical problem, that is grafted on the subjects being able to occur in real life, of students in teaching materials and results studied and developed in the university. For increasing ability to solve ingenious problem and growing in the learning ability of oneself leading of students. The goal of this study is to make possible open research as a result of that students look for problem around real life by one's own efforts and take interest in them through learning mathematics of parents of students, they are the most important fact of educational environment in the mathematics education - earlier than students. In particular, the goal of this study is that students have an positive attitude of mind for mathematics and maximize ability of practical application by the analytic thinking learned through experience of their parents, they survey, analyze and solve problems taken from real life in the method transmitting one's knowledge to others. This study is divided into 2 categories: education of students and education of their parents. By these, we want to disseminate advanced knowledge and theory through students improve the powers of thought, logic and inference, develop ability to solve mathematical problem, stir up motivation of learning and learn knowledge of mathematics become familiar with real life.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.551-559
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• 2006

Pattern Recognition measures the ability of learners to distinguish between two sets of shapes or figures. Locating similar patterns on either side of the presented problem determines a learner's capacity or aptitude for science over general studies. At Ajou University's Institute for Scientifically Enabled Youth, we conducted research using a sample composed of middle school students with general and scientific backgrounds. The result proved that Pattern Recognition measures a different creative talent other than problem solving. In our opinion, Pattern Recognition would be a method better suited to elementary learners over those in middle or high school.