• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.301-319
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• 2013

This study is to explore the directions for developing the lesson assessment of the math textbook in elementary school level, which is to embody the recent trends of math assessment and the emphases about assessment given in the revised 2009 math curriculum. To this end, we examined the recent trends of math assessment and the assessment framework of RME (Realistic Math Education) as the theoretical backgrounds. Also we analytically looked at the math-assessment emphases given in the revised 2009 math curriculum, and tried to establish the directions for developing the lesson assessment of the math textbook on the basis of the preceding studies. In addition to, we gave the math items in line with the established directions about lesson assessment. Finally we suggested the issues in relation with the math assessment in the elementary school level.

• School Mathematics
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• v.12 no.4
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• pp.667-686
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• 2010

The mathematics curriculum revision is currently underway based on the general curriculum revised in 2009. Two of the controversial issues in mathematics curriculum revision are 'grade band' and 'mathematical process'. To consider the introduction of those two aspects in mathematics curriculum, this study compares and analyzes international mathematics curricula focusing on grade band and mathematical process. As a result, grade band is judged to be not necessary, but mathematical process has a potential to provide practical implication for betterment of mathematics textbook and lesson.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.405-425
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• 2018

Increasing the problem solving power in school mathematics is the most important task of mathematics education. It is the ultimate goal of mathematics education to help students develop their thinking and creativity and help solve problems that arise in the real world. In this study, we investigated the contents of problem solving according to mathematics curriculum goals from the first curriculum to current curriculum in Korea. This study analyzed the problem-solving contents of the mathematics textbooks reflecting the achievement criteria of the revised curriculum in 2015. As a result, it was the first curriculum to use the terminology of problem solving in the mathematics goal of Korea's curriculum. Interest in problem solving was most actively pursued in the 6th and 7th curriculum and the 2006 revision curriculum. After that, it was neglected to be reflected in textbooks since the 2009 revision curriculum, We have identified the problems of this problem-solving instruction and suggested improvement direction.

• Journal for History of Mathematics
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• v.29 no.2
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• pp.73-88
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• 2016

To introduce materials related to our traditional mathematics and to reinterpret modernly them could be a good tool to find the cultural values of them. We analyzed the degree for utilization of the history of mathematics in the middle school textbooks developed depending on the 2009 revised mathematics curriculum. Through this, we suggest the need for research on concrete and practical teaching and learning materials development utilizing the history of mathematics. We reinterpret, in modern style based on the curriculum, two subjects dealt with in 'GakDeungByeonHyeongSeupYu', the first theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. We expansively reconstruct the original samples up to regular decagon so that students might figure out the situation of all regular polygon using a kind of mathematics software GeoGebra. Also this process is constructed on the basis of the curriculum for an implementation the secondary school classes.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.545-561
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• 2015

The purpose of this study was to analysis how the elements of character are reflected in the 3rd and 4th grade elementary mathematics textbooks based on the 2009 revised curriculum. This study focused on the elements of character in the 3rd and 4th grade mathematics textbooks. The researchers analyzed the elements of character in the students' mathematics textbooks and teacher's guide books. In particular, they analyzed how those elements of character are reflected in those books. Findings of this study are as follows. First of all, the elements of character were founded in the most of units on the 3rd and 4th grade mathematics textbooks, but they were biased to the specific elements of character. Second, the resources using related with character vary in the textbooks. As methods of character education, connections of elements of character with mathematical concepts, broader view of the world, or problem solving are appeared. From the results of the research, we suggest the followings. We need to set the teacher's roles in character education. Mathematics textbooks should include various elements of character for effective character education. In addition to development of quality materials for character education in mathematics education, teacher education programs should include character education in mathematics education.

• The Mathematical Education
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• v.62 no.2
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• pp.269-287
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• 2023

Matrix theory is widely used not only in mathematics, natural sciences, and engineering, but also in social sciences and artificial intelligence. In the 2009 revised mathematics curriculum, matrices were removed from high school math education to reduce the burden on students, but in anticipation of the age of artificial intelligence, they will be reintegrated into the 2022 revised education curriculum. Therefore, there is a need to analyze the matrix content covered in other countries to suggest a meaningful direction for matrix education and to derive implications for textbook composition. In this study, we analyzed the German mathematics curriculum and standard education curriculum, as well as the matrix units in the German Hesse state mathematics curriculum and textbook, and identified the characteristics of their content elements and development methods. As a result of our analysis, it was found that the German textbooks cover matrices in three categories: matrices for solving linear equations, matrices for explaining linear transformations, and matrices for explaining transition processes. It was also found that the emphasis was on mathematical reasoning and modeling when learning matrices. Based on these findings, we suggest that if matrices are to be reintegrated into school mathematics, the curriculum should focus on deep conceptual understanding, mathematical reasoning, and mathematical modeling in textbook composition.

• School Mathematics
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• v.17 no.2
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• pp.257-272
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• 2015

This study is related to reinforcement of the continuity between Nuri curriculum and elementary mathematics curriculum emphasized by 2015 revised national curriculum. Considering that teachers tend to rely much more on textbooks than on curriculum, we analyzed the continuity between math-related activities of Nuri manuals for teachers and the elementary mathematics textbooks and aimed to suggest several ways for securing the continuity based on the result of analyses. To do this, we compared and analyzed Nuri manuals (for ages three to five) for teachers and the first and second grade mathematics textbooks in three aspects: mathematical contents, mathematical terms and symbols, and mathematical processes. We adopted the same analysis framework including continuity, discontinuity and reverse continuity as the study on the continuity between Nuri curriculum and elementary mathematics curriculum. As a result, the results of analyses were revealed in three aspects, respectively. We also discussed the results and suggested some implications for securing the continuity of Nuri manuals for teachers and the elementary mathematics textbooks and for revising curriculum and its materials such as textbooks, workbooks or manuals for teachers.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.215-238
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• 2016

The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.333-351
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• 2016

This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 5th and 6th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. The results were as follows. First, the number of STEAM elements in mathematics 5-1, 5-2, 6-1, 6-2 are 151(18.4%), 212(25.9%), 211(25.7%), 246(30.0%), respectively. The 6th Grade than in 5th Grade can be seen a few plenty. Second, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 617(75.2%) and this elements are seen the most. The number of representative art and cultural art is 445(54.3%) and 172(20.9%), respectively. The number of technology-engineering and science is 158(19.2%) and 45(5.5%), respectively. We need to developed to promote use of science element in next mathematics curriculum.