• Education of Primary School Mathematics
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• v.11 no.1
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• pp.21-38
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• 2008

This study is for elementary school student's spatial ability improvement. We have to know their correct spatial ability for teaching it more effectively. And then we can organize about spatial ability one of schoolbook systematically and step by step. Therefore this study did survey elementary school student's spatial ability by grades and school score using newly developed spatial ability survey test. According to result, First, elementary school students spatial ability be developed gradually more 5th, 6th grades than 3th, 4th grades. Second, it was researched that high score student's spatial ability is better than score student lower student's. But the result was influenced by school's curriculum. The score of contents in school's curriculum higher than it's not. Synthetically, the suggestion is what the curriculum is changed. It need to input the contents of spatial abilities and more detailed study.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.19-33
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• 2015

Recently in major industrial areas, there has been a rapidly increasing demand for 'Computational Thinking', which is integrated with a computer's ability to think as a human world. Developed countries in the last 20 years naturally have been improving students' computational thinking as a way to solve math problems with CAS in the areas of mathematical reasoning, problem solving and communication. Also, textbooks reflected in the 2009 curriculum contain the applications of various CAS tools and focus on the improvement of 'Computational Thinking'. In this paper, we analyze the cases of mathematics education based on 'Computational Thinking' and discuss the mathematical content that uses the CAS tools including Sage for improving 'Computational Thinking'. Also, we show examples of programs based on 'Computational Thinking' for teaching Calculus in university.

• 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.

• Journal of Gifted/Talented Education
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• v.5 no.2
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• pp.37-54
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• 1995

The radical development of modern mathematics is due to the appearance of Collection Theory by George Cantor. The Set Theory is independent as an area and also closely interrelated with other areas. So its content becomes a common sense and a basic part across the whole area of modern mathematics. Accordingly, the basic element of modern mathematics is helping young children get familiar with set as early as possible. The thinking of set by which children can categorize, make partial sets and correspondences, understand the general characteristic, and conceptualize the discovered relationships is very important for young children. At this point where the Math education for young children is emphasized under the influence of the modernization movement of Math education, the systematic education for building up the set concept as the basic background of number concept during the early childhood is required. On current mathematics education for young children, graphs, the foundation of geometry, time, and patterns have been included in the traditional and practical content related to numbers. However, the education on collection which is the foundation of number concept is insufficient. A study shows that the level of young children's understanding on set is quite high, but the set concept isn't reflected in current Math curriculum for young children. And basic activities neccesary on building up the set concept, such as categorization, comparison, etc. are conducted in kindergardens but unsatisfactory because of those kindergarden teachers' premature understanding on the set concept. In conclusion, the curriculum for young children should be reorganized based on the set concept as the kernel concept. Also, the reappraisal of the training curriculum and the supplementary efucation for kindergarden teachers are urgent for raising the teaching ability of those kindergarden teachers.

• Journal for History of Mathematics
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• v.30 no.6
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• pp.341-351
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• 2017

In the 21st century, the era of artificial intelligence, it is demanded to make a change of the paradigm of education by the recent impact of the 4th industrial revolution. The education up to now has emphasized knowledge, meanwhile the human resources for the future are required to be armed with four C's: critical thinking, creativity, communication and collaboration capability, rather than being equipped with just knowledge. That is because the future society demands such abilities, especially the creativity of each individual. At this point, we are asked to consider the aim of education and teaching methods. In school education, students are to be respected and considered able to develop their potentials by themselves. They shouldn't be estimated by tests in the process of learning as they are now. We reconsider the aim of education here by taking a look at Whitehead's opinions and the present educational situations.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.373-395
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• 2022

This study aimed to examine how prospective mathematics teachers (PMTs) perceive collaborative problem-posing (CPP) as a method to cultivate students' creativity and character in mathematics education. This is to propose the introduction of CPP at the stage of preparatory math teacher education as one of the ways to reinforce the creativity and character education capacity of PMT), and to attempt to be an opportunity to actively utilize CPP in math teaching-learning in the school field for the education of students' creativity and character. To achieve this objective, I designed PMTs taking the 'Educational Theories for Teaching Mathematics' course, required in the second year of university, to experience CPP tasks. Data were collected through questionnaires or interviews over three years on how PMTs recognized the CPP tasks as a tool to cultivate students' creativity and character in secondary schools. The results of the study are as follows. First, PMTs recognized regardless of their CPP experience that CPP might have a positive impact on improving students' ability to devise various ideas and that it positively influences students' attitudes toward building interpersonal relationships, including teamwork, respect, and consideration. Second, the experience of PMTs participating in the CPP made them more positively aware that CPP is effective in improving students' ability to elaborate on ideas. Third, the PMTs' experience of participating in CPP led to a more positive perception of the impact of CPP on the students' abilities and attitudes, namely, the students' ability to elaborate on ideas and their inner attitudes toward individuals, including honesty, fairness, and responsibility, and the attitude of students regarding logically presenting their opinions and making rational decisions. Finally, if there are downsides to the offline environment, an online environment may be more beneficial.

• The Mathematical Education
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• v.41 no.1
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• pp.19-34
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• 2002

The 7th national mathematics curriculum lays emphasis on an interrelation of several subjects and a connection between mathematics and real life. In this reason, this study focuses on the enhancement of sound understanding nuclear energy which is one of important factor(concepts or contents) dealt with in the other subjects such as science, environment, social studies, etc.. Recently, even though it is insistent that nuclear energy be so important and request in the future society, there are still strong pro and cons regarding the use of it. In this study, teaching-and-learning materials were developed dealing with using nuclear energy, and consequently they might be used in math class for the purpose of enhancement of mathematical learning ability and of recognition on nuclear energy. In this study, Material 1 included a matter of the necessity for nuclear power plants using the ratio concept, and Material 2 did on a matter of the efficiency of nuclear energy and the unclear of nuclear power plants using ratio-graph, in the elementary and upper school mathematics. Material 3 focused on a matter of the principles of nuclear power plants using the properties of exponential law in high school mathematics. Ultimately, it is hoped in the study that more diverse instructional materials dealing with diverse situations inside and outside mathematics would be developed.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.185-196
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• 1998

This study is undertaken to clarify the evolution of the mathematics regarding the $\pi$ ratio, square root, trigonometric ration which are dealing by approximate value according to the curriculum of Korean Middle School and its subsequent growth of methods for attaining the approximate value. Furthermore a brief survey has been thought for assessing the significance of the core of approximate value and its utility which will be given a guide line to many young learners. I'd better teach these historical background to the students and it makes clear the approximate value and the content about the approximate value. This research should help to improve the student's ability of solving a problem by making them think it mathematically through the life and the effort of the mathematician.

• Journal for History of Mathematics
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• v.28 no.1
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• pp.45-62
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• 2015

This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.295-309
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• 1999

The primary purpose of this study is to investigate problems with the current mathematics textbook. According to a survey, the following were the findings: Textbook is only a tool-book for introducing mathematical facts. It is a unique book for all students possessing different level of mathematical ability. There is difficulty in teaming math using technological devices and in activating(mental and concrete) manipulative activities. There is difficulty in communicating while doing mathematics. There is lack of defined and developed layout of textbook, et. al. It can be however found that these problems can be solved to some degrees, when mathematics textbook is developed based on constructivism. Recently, in mathematics education, it has been gradually emphasized that constructivism can be powerful in teaching and learning mathematics. There are however some difficulties in developing mathematics textbooks to reflect constructivism, such as to fill the gap between the contents written in the national curriculum determined in advance and the contents which students construct psychologically or socially in mathematics class.