• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.99-115
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• 2007

The purpose of this study was to look into whether this mathematising learning utilizing realistic context has an effect on the mathematical thinking. To solve the above problem, two 5th grade classes of D Elementary School in Seoul were selected for performing necessary experiments with one class designated as an experimental group and the other class as a comparative group. Throughout 17 times for six weeks, the comparative group was educated with general mathematics learning by mathematics and "mathematics practices," while the experimental group was taught mainly with mathematising learning using realistic context. As a result, to start with, in case of the experimental group that conducted the mathematising learning utilizing realistic coherence, in the analogical and developmental thoughts which are mathematical thoughts related to the methods of mathematics, in the thinking of expression and the one of basic character which are mathematical thoughts related to the contents of mathematics, and in the thinking of operation, the average points were improved more than the comparative group, also having statistically significant differences. The study suggested that it is necessary to conduct subsequent studies that can verify by expanding to each grade, sex and region, develop teaching methods suitably to the other content domains and purposes of figures, and demonstrate the effects. In addition to those, evaluation tools which can evaluate the mathematical thinking processes of children appropriately and in more diversified methods will have to be developed. Furthermore, in order to maximize mathematising for each group in each mathematising process, it would be necessary to make efforts for further developing realistic problem situations, works and work sheets, which are adequate to the characteristics of the upper and lower groups.

• The Mathematical Education
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• v.45 no.2 s.113
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• pp.205-215
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• 2006

One of the most important concepts in the 7th curriculum of Korea is the student-centered education. Since educational evaluation has significant influence on the whole curriculum, if we realize the importance of the student-center education on the curriculum we should establish the student-centered educational evaluation system. Educational evaluation is defined by the theory of information to permit information users to identify, to measure, to manipulate and to communicate useful educational information concerning an educational curriculum for making decisions. If we accept the above definitions, the demands of information users are significant in the light of conceptual framework of educational evaluation. The purpose of this study is to analyze the conceptual framework of educational evaluation from information users' perspectives and to investigate the qualitative characteristics which satisfy information users' need for making decisions. We also show that students aren't provided sufficient evaluation results information to decide for their study plans by analyzing an evaluation study of the 7th primary curriculum. Finally, this study suggests how to improve an evaluation system for students in mathematics.

• The Mathematical Education
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• v.39 no.1
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• pp.11-20
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• 2000

Compared with other subjects, mathematics has great differences in achievement. In hope of solving this problems, most schools the level-movement learning. Although they say it may have some effect because of its homogeneous group, the level groups still have differences in achievement in their students abilities. So, this study aims to present an appropriate tasks for the advanced intermediate and beginner groups and to help self-directed learning by selecting an appropriate tasks for the students' own level. To achieve thiese goals, a great deal of level tasks were developed and given to the students. After lettins them an select appropriate tasks for their own level and perform self-directed teaming, the tasks were measured carefully for their interest attitude and achievement in learning. Consequently, we tried a new method to improve uniformity and to turn teacher-centered learning into student-centered teaming. The following is the conclusion to this study. First self-directed teaming based on the selection of level tasks has meaningful effects on learning achievement in mathematics, especially for the beginner group. Second though the above method did not improve an interest for mathematics, but was very effective in the improvement of learning attitudes.

• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.89-108
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• 2004

Elementary mathematics education in the 7th mathematics curricula has been emphasized to foster ‘mathematical power’. For establishing this purpose, we need to provide the opportunities inducing to students' thoughts and to study leaching-learning methods to make structuring for their thinking process. Using to writing activities in students' mathematics learning, we think that we can find out their thinking process and this writing mathematics learning method is effective to promote their communication. Through analysing to six grade mathematics textbooks, we devised to mathematical writing types and teaching/learning models could being utilized in mathematics classes. And we investigated the influence of mathematical writing on the learning ability of students. We have experimented and investigated to after dividing experimental objects into two groups, experimental group and comparative group. We founded out, through these researches for mathematical writing teaming, that the experimental group of the former had obtained greatly better results than the latter in mathematical learning abilities and studying achievements. Based on these result, it is required to have an accumulation of research on teaching-teaming methods by using various types of mathematical writing study.

• The Mathematical Education
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• v.59 no.2
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• pp.185-199
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• 2020

The purpose of this study is to discuss what the incorporation of humanistic imagination into mathematics means to mathematics education and to suggest implications for mathematics education in school mathematics. Traditionally, mathematics has been perceived to be far from our life problems because it targets logical and pure abstract thinking. According to international mathematics and science studies such as TIMSS and PISA, Korean students have relatively high mathematics achievement in the international research, but their attitude toward mathematics is very negative and their awareness of why they are learning mathematics and their satisfaction with life is low. In mathematics education, linking mathematics with humanities imagination allows students to view problems of human life from a humanities perspective, and to have an understanding of others and reflect on themselves from a new perspective. The researcher introduces several examples of whether mathematics and humanistic imagination can be combined for mathematics education. In this study, the ultimate reason for learning mathematics is to achieve learners to realize the principles of life or Dharma, and to live a happier life. However, in order to expand its rich meaning by making these new attempts in mathematics education, the researcher argued that tolerance and patience are needed for many challenges and difficulties in improving the quality of mathematics content itself including applying humanistic imagination to mathematics properly.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.677-694
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• 2008

Mathematics and science courses have a deep connectednessGnterrelationship). This research analysis their connectedness focused mathematics courses. Textbooks which were used in seventh education process were used in this analysis and the connectedness was further analyzed. From this analysis, three norms study various cases where mathematics courses affect science courses. The three norms are defined by order of curriculum of mathematics and natural science courses that have interrelationship. Lastly, a method to organize to connect mathematics and natural science course is discussed in detail in two aspects. Thorough this research, improvement in study achievement ability is expected by positive effects of mathematics courses to science courses.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.363-383
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• 2018

The subject of 'Mathematical Task Inquiry' was introduced newly in the curriculum revised in 2015. The subject is dealt with after completing the subject of 'mathematics' to be dealt with in the tenth grade. Its main content is comprised of the understanding and learning of the purpose and procedure of inquiry task and of study ethics, and its educational goal is to enforce the prior mathematical knowledge and to obtain the ability to select interesting topics that combine mathematics with other subjects. However the textbook of the subject does not exist, and teachers should handle with the subject with responsibility for their own ways. Because of this reason, this study is to develop an instruction model on project(task) inquiry model and materials. Namely, according to the model, students is guided to select and decide the subject of the task, and develop the task for themselves, solve it with peers in cooperation, and announce the solution and their feelings. During those students' exploration and activities, the role of teachers is to guide students to complete their work. By the way, in order to develop more creative tasks that is appropriate to their academic and cognitive level, this study conducted the experimentation for the subject of 9 students (6 girls and 3 boys), who are scheduled to advance to the 11 grade of J high school located in G domestic. The experimentation was consisted of three class and after the third class, the semi-structured interview was conducted immediately for the students.

• The Mathematical Education
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• v.62 no.4
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• pp.491-513
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• 2023

High achievement in mathematics is a very complex process in which various factors such as cognitive factors, affective factors, and social and environmental factors work respectively and complementary. A number of previous studies conducted so far have shown that there are certain factors affecting math learning and these factors have positive or negative effects on it. However, these studies were conducted with limited variables and it was not possible to present a comprehensive analysis of what would be necessary to get good achievements in mathematics learning. Therefore, in this study, we analyzed the process of experience of students who experienced success in mathematics learning using the analysis method of the grounded theory. In addition, the collected data was analyzed to explain the process of leading to the successful experience in mathematics learning. As a result of the analysis, it was revealed that students form their identity as successful learners through the processes of 'new phase stage', 'experience accumulation stage', 'stand-up stage', and 'maintenance effort stage'. Through this study, we were able to get implications for what actions are needed to experience success in math learning by looking at the process of the experience what interviewees have gone through.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.513-541
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• 2008

The purposes of the study were to investigate whether the use of the Geometer's Sketchpad(GSP) is more effective than the use of traditional tools such as ruler and protractor to enhance eighth- grade students' understanding of quadrilaterals and geometric reasoning ability and to examine how the use of the software affects on the development of students' understanding and reasoning ability. According to the results of the posttest, there was a significant difference in student achievement between students using GSP and students using ruler and protractor. Students using GSP significantly outperformed students using ruler and protractor on the posttest. Student interview data showed that the use of the GSP was more effective in developing students' geometric reasoning ability. Students using GSP achieved higher degrees of acquisition for van Hiele level 2 and 3 than students using ruler and protractor. Dynamic visual representations and hands-on experiences provided in GSP learning environment helped students approach quadrilateral concepts more conceptually and realize their pre-existing conceptual errors and re-conceptualize their mathematical ideas.

• Journal of Gifted/Talented Education
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• v.19 no.1
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• pp.47-67
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• 2009

This paper is about a case study of two brother talents who have a similar genetic factor The researcher who worked as a teacher of the Institute of Talent Education where the two brothers attended for 3 years analyzed and compared the influential variables through the interview of both the students and their parents. Parents have invested to the elder brother showing geniuses so they disciplined him suppressively out of too much expectation. However, they allowed his brother, who showed talents later, more automaticity, supporting him when he himself wanted to study. As a result, the younger brother showed a more creative thinking ability, and a better school performance This paper is significant in that parents's positive disciplining attitude maximize children's genius.