• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.375-396
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• 2022

In this paper, to provide an idea for the 2022 revised mathematics curriculum by restructuring the content of the 2015 mathematics curriculum, the content elements of recurring decimals of textbooks, which showed differences in the curriculum of Korea and Japan, were analyzed. As a result of this study, in Korea, before the introduction of the concept of irrational numbers, repeating decimals were defined in the second year of middle school, and the relationship between repeating decimals and rational numbers was dealt with. In Japan, after studying irrational numbers in the third year of middle school, the terminology of repeating decimals is briefly dealt with. Then, when learning the concept of limit in the high school <Mathematics III> subject, the relationship between rational numbers and repeating decimals is dealt with. Based on the results of the study, in relation to the optimization of the amount of learning in the 2022 curriculum revision, implications for the introduction period of the circular decimal number, alternatives to the level of its content, and the teaching and learning methods were proposed.

• School Mathematics
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• v.16 no.4
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• pp.827-845
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• 2014

This study aims to investigate how the university educational programs about quadratic curves are operated in relation to the high school curriculum and what their effects may be, and the degree of understanding for the prospective and current teachers of the mathematical content knowledge about quadratic curves. To solve this research questions, we randomly selected three universities and one high school. Then we investigated the curricula of each department of mathematics education, compared them with the high school curricula, and conducted surveys of the professors' and students' conception on how much mathematical content knowledge they need to know about quadratic curves. The study resulted in the following conclusions. First, the curriculum on the subject of quadratic curves in the college of education is closely connected to the high school programs. This study's results showed that the college of education's curriculum includes a series of lectures regarding quadratic curves, and that within them, the mathematical content about quadratic curves associated with high school mathematics was thoroughly covered. Also, a large number of students who attended the lecture reported a significant increase in their understanding in regards to the quadratic curves. Second, it is strongly recommended to strengthen the connection between the college of education's curriculum and the actual high school education field. The prospective teachers think that there is a substantial need to learn about the quadratic curves because it is closely connected with the high school curriculum. But they find it challenging to put what they were taught into practical use in the high school education field, and feel that an improvement in this area is much needed. Third, it is necessary to promote, encourage and support the voluntary efforts to expand the range of the content knowledge in quadratic curves to cover the academic content associated with the high school mathematics.

• Journal of the Korean School Mathematics Society
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• v.6 no.2
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• pp.87-99
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• 2003

As the development of computer science discrete mathematics has been developed accordingly. Discrete mathematics is one of the vital element for the development of the computer and IT technologies since it is the theoretical basis for these field of technologies. Currently, according the Seventh Curriculum Standards in Mathematics, high school students may participate in the class of discrete mathematics as one of their optional curriculum. However, discrete mathematics is a new to the most students in high school. Therefore, the teaching methods for the class of discrete mathematics must be carefully designed so that students acknowledge the importance of this new subject. For this purpose, we first show that why the algorithm is needed and then analyze the problem involved in the method of the traditional matrix multiplications. Finally, we suggest two matrix multiplication algorithms which are more efficient than the traditional method.

• Journal of the Korean School Mathematics Society
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• v.5 no.1
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• pp.135-145
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• 2002

Technical high school aims at educating students to acquire fundamental skill and technology required for being competent technicians, to be creative in adjusting themselves to the changing industrial society, and to do self-realization and find their ways toward the future on their own. To attain that goal and maximize learning effect, mathematics education is very important as prerequisite learning for technical subjects, as most technical courses in technical high school are basically based on mathematics. The purpose of this study was to discuss how mathematics education could be successfully linked to technical courses in an attempt to make it function properly as prerequisite learning for major subjects and facilitate students' technical learning. For that purpose, what problems the mathematics components of major subjects and the curriculum had was examined and the way to offer better education was presented. And there are some suggestions regarding mathematics education: First, technical mathematics should be newly inserted into technical high school curricula to help students learn major subjects in more efficient way. Second, most technical high schools are expected to just require tenth graders to complete a 10-stage mathematics course. In that case, they might find difficulties in learning major subjects when they are in their 11st and 12th grade. The curriculum should be designed to have 11st and 12th graders take mathematics education. Third, many students find a job after graduation, but the growing number of students go on to university to receive more education in the same field. Accordingly, there is a need to enlarge continuous progress plan, rather than completion-type one, to make students well-grounded technically. And mathematics should be taught in more classes as prerequisite subject for major courses. Fourth, mathematics elements necessary for each major subject should be outlined and announced to schools so that they could reorganize mathematics and major courses appropriately.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.481-498
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• 2014

This study analyzed Japan, Taiwan, Hongkong, Finland, and China National Mathematics Curriculums to find the implications to improve Korean High school Mathematics curriculum. First, at the aspect of mathematics education goals, we can consider to select the logical thinking, the use of mathematics, and the mathematical inquiry in the cognitive domain and self-confidence, brevity, a sense of accomplishment, and the value of mathematics in the affective domain. Second, when high students consider their course, he/she should be able to select mathematics subjects according to her/his desired career and/or major. Third, I found that sine rule, cosine rule and correlation were included as compulsory contents of Japan, Taiwan and China but not Korea. Finally I suggest that we need to show and explain kindly the range of the contents and to develop the Korean mathematics curriculum model.

• The Mathematical Education
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• v.41 no.1
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• pp.1-18
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• 2002

The purpose of this research is to compose the curriculums of mathematics for the technical high school students to ream their own majors effectively. First, we analysed the goal of mathematics education in high school and the goal of education in technical high school and the 6th and 7th National Curriculums of mathematics. And next, we researched the reality and the necessity of mathematics education in technical high school. As the result of this analysis, we found some problems of mathematics education in the technical high school. So we composed the scope, the sequence, and the units of mathematics textbook which reflect the curriculum of technical high school.

• School Mathematics
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• v.18 no.3
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• pp.611-623
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• 2016

This study explored the problems of definitions and choices of terms and notations and proposed a few tasks for improvement of them included , , of high school mathematics based on 2009 revised mathematics curriculum and textbooks. We explored the problems on the features of the methods and contents of definitions of terms and notations in the viewpoint of the possibilities of difficulties on students' understanding, and proposed several criteria for choices of terms and notations in curriculum. And we proposed several tasks to improve the problems as follows: we need to implement much analyses and discussions on terms and notations and to open the results, to make the criteria for the examinations of mathematics textbooks in the viewpoint of therm and notation, to consider the differences of the methods of definitions among primary, middle, and high schools, and to consider the changes of terms and notations and the methods for introduction of them in textbooks.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.59-67
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• 1998

Probability and statistics is an important section in mathematics which is deeply related to everyday living, natural science and social science. In spite of its importance, many students will throw away it because it becomes very harder as its step(stage) deepens and probability and statistics' relative importance is very small in Korea-SAT(the test of college entrance in Korea). Therefore, by analyzing the involvement carefully between the curriculum in the elementary, middle, high school and the text book, by studying the problem and improvement direction, it is necessary to investigate an effective teaching method. This study intends to give the students the confidence, interests, and accomplishment motive about probability and statistics field and to make a rational and creative decision-making through mathematical speculation by proposing an effective teaching method through analyzing an existing facts in school's probability and statistics field. The contents of this study are composed of four chapters. Chapter three looks into the mathematical curriculum in the elementary, middle, high school and its teaching meaning, the outline of contents, some tips on teaching and problems and presents an effective and concrete teaching method on the basis of the theoretical background in the chapter two. Chapter four is a conclusive part and gives the general improvement and intentional direction in educating the probability and statistics.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.147-156
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• 2006

The purposes of this study are that understand vocational high school student's scholastic ability, dream and conception about mathematics exactly and that we find a educational mathematics program suitable to vocational high school student. Through this improvement of the curriculum in vocational high school, we will find the way that increase efficiency.

• Research in Mathematical Education
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• v.1 no.1
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• pp.95-106
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• 1997

Even though there are extracurricular mathematics classes for gifted students in all levels of schools in Korea, teachers cannot conduct the classes properly because the contents of the textbook are not adequate for the purpose of the classes. So, what they tend to do in the classes is just drilling with many problems which have already shown up at university entrance examinations and various mathematics competitions. The purpose of this paper is to give an example of what the content should be in "Mathematics III" (an elective subject for the science high school students according to the fifth and sixth amendment of national curriculum) and to suggest how to design the extracurricular classes for gifted students. Extracurricular classes of the ordinary secondary school as well as the elective course for the science high school can be suitably designed with choices of topics in the contents of Mathematics III.