• East Asian mathematical journal
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• v.36 no.4
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• pp.493-513
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• 2020

The reason for this study is that the learning content of geometric construction in school mathematics is very insufficient. Geometric construction not only enables in-depth understanding of shapes, but also improves deductive proof skills. In school mathematics education, geometric construction is a very important learning factor, and educational significance is very high in that it can develop reasoning skills essential to the future society. Nevertheless, the reduction of geometric construction learning content in Korean curriculum and mathematics textbooks is against the times. Therefore, the purpose of this study is to analyze the transition of geometric construction learning contents in middle school mathematics curriculum and mathematics textbooks. In order to achieve the purpose of this study, the following studies were conducted. First, we analyze the characteristics of geometric construction according to changes in curriculum and textbooks. Second, we develop a framework for analyzing geometric construction tasks. Third, we explore geometric construction tasks according to the developed framework. Through this, it is expected to provide significant implications for the geometric areas of the new middle school curriculum that will be developed in the future.

• Journal for History of Mathematics
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• v.23 no.4
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• pp.83-100
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• 2010

This paper is to raise several questions in teaching the Graph and Linear Transformation complied with the Mathematics Amended Curriculum announced in 2006 Aug. and then to formulate a plan accordingly. For this, we'll take a good look at the prior studies on the Graph and Linear Transformation after the announcement of the 7th School Curriculum along with the changes in their contents through the process of curriculum. Then we'll check over learning factors of the Graph and Linear Transformation in all 27 kinds of the authorized textbooks - 'Mathematics I', 'Applications of Mathematics', and 'Geometry and Vectors' - and 27 kinds of exercise books issued on 2009. By this, we put measures which improve understanding and apply correctly to the Graph and Linear Transformation in the Mathematics Amended Curriculum to high school teachers.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.2
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• pp.219-245
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• 2019

The purpose of this study is to provide basic data for the next curriculum revision, as well as to foster improvements to the quality of the Korean elementary school math classes by analyzing and comparing the Korean 2015 revised curriculum with the current Japanese curriculum of math. To accomplish this purpose, the research questions were set as follows. 1. What are the directions for revising Korean 2015 revised curriculum and the Japanese curriculum for elementary school mathematics? 2. What is the difference between the elements of learning content offered in the respective Korean and Japanese curriculums for elementary school mathematics? The conclusions of this study are as follows. Firstly, although Korea and Japan share common core statistical education objectives, they approach their goals with different methods. Korea focuses on academic competency, while Japan focuses on fostering the "power to live". For the learning process, Korea emphasized process-focused evaluation, while Japan emphasized fostering mathematical thought and thinking through mathematical activities. For class improvement, Korea focused on reducing the learning burden through appropriating the amount of learning by shifting or removing some elements of the learning content. Japan, on the other hand, refocused their attention on improving active learning within the classroom, and also increased the hours of math class within their curriculum. Secondly, there was a difference in the content composition of the curriculums of Korea and Japan. By comparing the elements of learning content, I got the conclusions for the next curriculum revision in Korea.

• Journal for History of Mathematics
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• v.23 no.2
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• pp.123-140
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• 2010

In general, early childhood mathematics education is conducted and operated in early childhood education curriculum. Moreover, Korean early childhood education is approached and conducted by an U.S. NCTM. So, it is meaningful to compare American and Korean early childhood mathematics education curriculum. Therefore, I has studied how those points of views of the mathematics education are instituted in the curriculums respectively. The main purpose of this study is to investigate principles of NCTM(National Council of Teacher of Mathematics): content standards and process standards. I hope the finding of this study would reflect to the 7th Korean early childhood mathematics education including learning and curriculum constitution.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.329-348
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• 2023

This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

• Research in Mathematical Education
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• v.1 no.1
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• pp.43-59
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• 1997

Now in Korea, the 7th curriculum reform is underway. The main difference of the seventh curriculum compared with former curricula is that it puts much emphasis on individual difference. It is a "differentiated" curriculum. The basic directions of the 7th mathematics curriculum are as follows: 1. Offer various mathematical subjects for "Selective Educational Period" (Grades 11 and 12). 2. 30% reduction of mathematical contents. 3. The reconciliation of domain names of school mathematics. 4. The use of computers and calculators in mathematics classrooms.

• The Mathematical Education
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• v.58 no.3
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• pp.347-365
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• 2019

It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.

• The Mathematical Education
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• v.59 no.3
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• pp.201-216
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• 2020

This study analyzed 493 domestic mathematics curriculum articles published in KCI's listings from 1997 to 2019 using LDA topic modeling. As a result, domestic mathematics curriculum research could be categorized into eight topics such as 'context in a curriculum', 'analysis a curriculum by the mathematical concept', 'form, system, meaning, and character of a curriculum', 'instruction and application of a curriculum', 'implementation and evaluation of a curriculum', 'tasks in a curriculum', 'analysis of a curriculum based on ability', 'compare and analysis curriculum and textbook'. The topic 'implementation and evaluation of a curriculum' was identified with the lowest proportion. Also, we performed the simple regression analysis with the weight of topics in the application period of the curriculum, and 'analysis of a curriculum based on ability' appeared as a 'hot topic'. Furthermore, topics appeared differently depending on the application period of the curriculum. Some of the appeared topics showed a tendency to match the emphasis of the highlight in a mathematics curriculum. Based on the results, future studies should develop frameworks for mathematics curriculum studies and extend the field of mathematical curriculum studies to make progress. Furthermore, future studies are needed to examine the enactment, feedback, and competency evaluation in the mathematical curriculum.

• The Mathematical Education
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• v.41 no.1
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• pp.127-137
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• 2002

Discrete Mathematics is newly introduced into the 7th Elementary and Secondary School Mathematics Curriculum of Republic of Korea. Every high school can choose Discrete Mathematics as an optional course from year 2002, but mostly from year 2003. According to its characteristics and objectives in the curriculum, we should know how to implement Discrete mathematics. But it is hard to predict whether Discrete Mathematics will be successful or not, since many studies have shown the lack of readiness for the course. In this study, we analyze the Discrete Mathematics text book developed recently in 2002. Then we see how Discrete Mathematics can be implemented. First, we suggest how the contents in the Discrete Mathematics text book are related to the mathematical values. This will clarify instruction and learning methods in Discrete Mathematics classrooms. Secondly, rich and various discrete contents should be taught. Students should appreciate the realistic merits of discrete mathematics. Thirdly, evaluation methods and their examples will be presented based upon the contents of she text. The evaluation that distinguishes individual achievement levels is closely related with implementation of Discrete mathematics in schools. Finally, we point out the weakness of Discrete Mathematics contents in the 7th curriculum to prepare ourselves for the 8th curriculum.

• The Mathematical Education
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• v.58 no.2
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• pp.187-223
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• 2019

This study aims to investigate the aspects of revision in the external and internal structure of curriculum and documentation in Korea and Japan and to propose the direction and task to enhance the current framework of the national curriculum. Japan has been selected for comparison in that it explicitly prepared social changes such as the dramatic evolution of artificial intelligence and population aging in its new curriculum. Therefore, various aspects of revision were analyzed the 2009 & 2015 revised mathematics curriculum of Korea and the 2008 & 2017 mathematics curriculum of Japan respectively in the elementary, middle, and high school grade bands. Then, the differences between the two countries were identified through comparison. First, the structure of the mathematics curriculum in Japan was connected with the general guidelines more tightly than Korea, and the external structure of the mathematics curriculum stayed consistently after the revision. Second, contrary to Korea, which pursued the appropriateness and reduction of mathematical content, Japanese mathematics curriculum has been pursuing detailed contents both quantitatively and qualitatively. Lastly, Japan emphasized statistical problem-solving ability. Based on this, we suggested considering of consistency in the structure curriculum documentation, detailing contents of the curriculum, and strengthening of statistical education.