• Communications of Mathematical Education
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• v.37 no.4
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• pp.635-652
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• 2023

This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

• Journal of Korean Elementary Science Education
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• v.42 no.4
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• pp.618-629
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• 2023

Although society has become increasingly diverse, on a few studies analyzed elementary science textbooks in terms of race or disability. Therefore, this study analyzed character illustrations presented in elementary science textbooks in terms of multiculturalism and disability. It identified 14 approved elementary science textbooks for the 2015 revised curriculum, which are used during the first and second semesters in the third grade. First, analysis of the race of character illustrations in elementary science textbooks indicated that 8.2% of them are multicultural, which is higher than the actual proportion of foreigners living in Korea. In addition, most of them were white illustrations, whereas Asian foreign illustrations made up the least, which suggests a different distribution in the Korean context. The study observed significant differences in distribution according to publishers. Second, the gender distribution of multicultural character illustrations differed by 59.0% and 41.0% for men and women, respectively, and the gender variation between publishers was relatively large in which a few publishers accounted for 80% of male multicultural figures. The third pertained to the function of illustrations, that is, the distribution of illustrations of Koreans and multicultural figures was similar in terms of the order of illustrations with explanatory functions followed by exemplary, decorative, and supplementary functions. Finally, from the perspective of diversity in disability, the proportion of illustrations with disability was 2.0%, which was less than the actual proportion in Korea. The study discussed the need to consider the situation and diversity of Korea in terms of race and d isability.

• The Mathematical Education
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• v.63 no.1
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• pp.63-83
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• 2024

The purpose of this study is to analyze the mathematical connection components of the tasks included in the trigonometric ratio unit of 3rd grade middle school textbook based on the 2015 revised mathematics curriculum and investigate teachers' perceptions and practical measures regarding these components. To this end, we analyzed the characteristics of mathematical connection tasks included in the trigonometric ratio units in nine types of 3rd grade middle school mathematics textbooks, and we conducted a questionnaire survey and interviews with one in-service math teachers in pre interview and with two in-service math teachers in this interview to investigate their perceptions and practical measures. As a result of the study, the number of tasks with external connection in the trigonometric ratio unit were less than those of internal connection. In addition, in terms of teachers' perceptions and practical measures, the perspective of analyzing tasks with mathematical connections varied depending on the teacher's perspective, and the practical measures varied accordingly. These findings are significant in that they reveal the relationship between mathematical tasks, teacher perceptions and measures to foster effectively students' mathematical connections.

• Journal of Korean Home Economics Education Association
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• v.27 no.1
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• pp.85-109
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• 2015

The purposes of this study were to analyze the duplicated contents of 'family life' unit of home economics and other subject textbooks for the middle school students. It focused on the 'family life' area in the home economics textbook compiled following the 2009 revised curriculum, and textbooks of other subjects compiled in the same period. To achieve the purpose of this study, "Home economics I II", "Ethics I II", "Social studies I II", "Science I II III", and "Physical education"were analyzed. The results were as follows. The contents in 'family life' area of "Home economics I II" were overlapped most in the textbook on Ethics, and then Science, Physical education, and social studies in order. In Ethics textbook the contents in family life area and those throughout the whole chapters of home economics textbook are overlapped most. The contents of home economics textbook are overlapped at the content of 'Juvenile's sexual development' of 'Human development process' in science and physical education, and at the content of 'Juvenile's emotional and social development' of 'Understanding of human development' in social studies. Seen from this study the 'family life' area of home economics is overlapped in science, physical education, and social studies, but, home economics has comprehensive contents with the goal of managing healthy individual and family life compared with other subjects, and it induces students' moral practices in their real life on the basis of scientific knowledge different from morality, social studies, and physical education. Hence, the instruction of 'family life' area might be done more effectively by focusing on home economics and integrating the connections of duplicated contents in Ethics, Science, Physical education, and Social studies.

• Journal of Korean Home Economics Education Association
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• v.32 no.4
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• pp.149-170
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• 2020

The purpose of this study was to develop and evaluate a Smart learning-based middle school home economics education plan to improve the online home economics education classes. The educational plan in this study was completed through the process of analysis, design, development, and evaluation. The results of this study are as follows. First, as a result of analyzing consumer life units in the middle school textbooks based on 2015-revised curriculum, Smart learning activities were presented in only two out of the 12 textbooks analyxed. Second, a Smart learning-based middle school home economics education plan was developed in this study with the following characteristics: the topics and contents are structured so that to help learners actively engage in the teaching and learning activities; the education plan to reflects various media and current issues that learners may be interested in; the lesson plans were structured with the premise of online classes; softwares that enable real-time discussion and collaboration are used; and the evaluation method are composed of online activities. Third, the expert evaluation scores for the educational plan and activity materials developed were 4.52 (5-point Likert scale), when averaged across subject, goal, content, teaching/learning activity, and evaluation, and the overall content validity index(CVI) was 0.95. The adequacy of execution, benefit, attractiveness, usefulness, and feasibility were highly with an average of 4.62. Based on the experts' comments, the education plan and activity materials were revised and completed. This study is meaningful in that it developed teaching and learning activities based on online classes after the COVID-19 outbreak, overcoming the limitations of offline classes. It has implications for face-to-face home economics classes due to COVID-19, as it suggests ways to blend online and offline teaching/learning activities depending on the situation.

• The Mathematical Education
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• v.62 no.3
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• pp.381-400
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• 2023

As the era of solving various and complex problems in the real world using artificial intelligence and big data appears, problem-solving competencies that can solve realistic problems through a mathematical approach are required. In fact, the 2015 revised mathematics curriculum and the 2022 revised mathematics curriculum emphasize mathematical modeling as an activity and competency to solve real-world problems. However, the real-world problems presented in domestic and international textbooks have a high proportion of artificial problems that rarely occur in real-world. Accordingly, domestic and international countries are paying attention to the reality of mathematical modeling tasks and suggesting the need for authentic tasks that reflect students' daily lives. However, not only did previous studies focus on theoretical proposals for reality, but studies analyzing teachers' perceptions of reality and their competency to reflect reality in the task are insufficient. Accordingly, this study aims to analyze in-service mathematics teachers' perception of reality among the characteristics of tasks for mathematical modeling and the in-service mathematics teachers' competency for designing the mathematical modeling tasks. First of all, five criteria for satisfying the reality were established by analyzing literatures. Afterward, teacher training was conducted under the theme of mathematical modeling. Pre- and post-surveys for 41 in-service mathematics teachers who participated in the teacher training was conducted to confirm changes in perception of reality. The pre- and post- surveys provided a task that did not reflect reality, and in-service mathematics teachers determined whether the task given in surveys reflected reality and selected one reason for the judgment among five criteria for reality. Afterwards, frequency analysis was conducted by coding the results of the survey answered by in-service mathematics teachers in the pre- and post- survey, and frequencies were compared to confirm in-service mathematics teachers' perception changes on reality. In addition, the mathematical modeling tasks designed by in-service teachers were evaluated with the criteria for reality to confirm the teachers' competency for designing mathematical modeling tasks reflecting the reality. As a result, it was shown that in-service mathematics teachers changed from insufficient perception that only considers fragmentary criterion for reality to perceptions that consider all the five criteria of reality. In particular, as a result of analyzing the basis for judgment among in-service mathematics teachers whose judgment on reality was reversed in the pre- and post-survey, changes in the perception of in-service mathematics teachers was confirmed, who did not consider certain criteria as a criterion for reality in the pre-survey, but considered them as a criterion for reality in the post-survey. In addition, as a result of evaluating the tasks designed by in-service mathematics teachers for mathematical modeling, in-service mathematics teachers showed the competency to reflect reality in their tasks. However, among the five criteria for reality, the criterion for "situations that can occur in students' daily lives," "need to solve the task," and "require conclusions in a real-world situation" were relatively less reflected. In addition, it was found that the proportion of teachers with low task development competencies was higher in the teacher group who could not make the right judgment than in the teacher group who could make the right judgment on the reality of the task. Based on the results of these studies, this study provides implications for teacher education to enable mathematics teachers to apply mathematical modeling lesson in their classes.

• Journal of Korean Home Economics Education Association
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• v.27 no.4
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• pp.121-140
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• 2015

The purposes of this study were to analyze the duplicated contents of 'Consumer life' area of Technology & Home Economics and other subject textbooks for the middle and high school students. It focused on textbooks compiled following the 2009 revised curriculum. To achieve the purposes of this study, "Technology & Home Economics I II", "Social studies I II", and "Ethics I II"textbooks for middle school and "Technology & Home Economics", "Social studies", and "Life & Ethics" textbooks for high school were analyzed based on the criteria for analyses of 'Consumer life' area. The results were as follows. First, the analysis of duplicated contents in Technology & Home Economics and other subjects (Ethics, Social studies) for middle school revealed that Technology & Home Economics textbook had the most proportion of 'Consumer Life' area, followed by Social studies and Ethics. The duplicated content elements in Technology & Home Economics, Ethics, and Social studies textbooks for middle school were 'consumer decision making', 'consumer information', 'economic impact of consumption', 'food life and sustainability', and 'consumption and sustainability'. Secondly, as a result of the content analysis of textbooks for high school Technology & Home Economics, Social studies, and Life & Ethics according to the criteria of analysis, it was found that Technology & Home Economics textbook had the most proportion of 'Consumer Life' area, followed by Life & Ethics and Social studies. The "content elements" 'food life management and consumption environment', 'desire of consumption', 'economic impact of consumption', 'changing factors and characteristics of consumer culture', and 'consumption and sustainability' were commonly found in all three textbooks. In this way, the 'Consumer life' area of Technology & Home Economics is thought to play a central role in teaching the 'Consumer Life' area because of its strength that contains detailed contents about consumer life for adolescent consumers who will apply it to everyday life. Based on the result of this research, it is needed to consider articulation of 'Consumer life' area of secondary schools for the future curriculum development of Technology & Home Economics to reduce the duplicated contents and to help the adolescents develop the ability to solve consumption problems they may encounter in real life and grow up to be rational adult consumers.

• Journal of the Korean earth science society
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• v.41 no.5
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• pp.504-519
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• 2020

Oceanic fronts, which are areas where sea water with different properties meet in the ocean, play an important role in controlling weather and climate change through air-sea interactions and marine dynamics such as heat and momentum exchange and processes by which properties of sea water are mixed. Such oceanic fronts have long been described in secondary school textbooks with the term 'Jokyung water zone (JWC hereafter) or oceanic front', meaning areas where the different currents met, and were related to fishing grounds in the East Sea. However, higher education materials and marine scientists have not used this term for the past few decades; therefore, the appropriateness of the term needs to be analyzed to remove any misconceptions presented. This study analyzed 11 secondary school textbooks (5 middle school textbooks and 6 high school textbooks) based on the revised 2015 curriculum. A survey of 30 secondary school science teachers was also conducted to analyze their awareness of the problems. An analysis of the textbook contents related to the JWC and fishing grounds found several errors and misconceptions that did not correspond with scientific facts. Although the textbooks mainly uses the concept of the JWC to represent the meeting of cold and warm currents, it would be reasonable to replace it with the more comprehensive term 'oceanic front', which would indicate an area where different properties of sea water-such as its temperature, salinity, density, and velocity-interact. In the textbooks, seasonal changes in the fishing grounds are linked to seasonal changes in the North Korean Cold Current (NKCC), which moves southwards in winter and northwards in summer; this is the complete opposite of previous scientific knowledge, which describes it strengthening in summer. Fishing grounds are not limited to narrow coastal zones; they are widespread throughout the East Sea. The results of the survey of teachers demonstrated that this misconception has persisted for decades. This study emphasized the importance of using scientific knowledge to correct misconceptions related to the JWC, fishing grounds, and the NKCC and addressed the importance of transferring procedures to the curriculum. It is expected that the conclusions of this study will have an important role on textbook revision and teacher education in the future.

• Journal of the Korean earth science society
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• v.42 no.3
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• pp.311-324
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• 2021

Recently, ten geosites have been considered in Hwaseong for endorsement as national geoparks, including the Jebudo, Gojeongri Dinosaur Egg Fossils, and Ueumdo geosites. The Jebudo geosite in the southern part of the Seoul metropolitan area has great potential for development as a new geoscience educational site because it has geological, geographical (landscape), and ecological significance. In this study, we described the geological characteristics through field surveys in the Jebudo geosite. We evaluated its potential as a geo-education site based on comparative analysis with other geosites in Hwaseong Geopark. In addition, we reviewed the practical effect of field education at geosites on the essential concepts and critical competence-oriented education emphasized in the current 2015 revised science curriculum. The Jebudo Geosite is geologically diverse, with various metamorphic rocks belonging to the Precambrian Seosan Group, such as quartzite, schist, and phyllite. Various geological structures, such as clastic dikes, faults, joints, foliation, and schistosity have also been recorded. Moreover, coastal geological features have been observed, including depositional landforms (gravel and sand beaches, dunes, and mudflats), sedimentary structures (ripples), erosional landforms (sea cliffs, sea caves, and sea stacks), and sea parting. The Jebudo geosite has considerable value as a new geo-education site with geological and geomorphological distinction from the Gojeongri Dinosaur Egg Fossils and Ueumdo geosites. The Jebudo geosite also has opportunities for geo-education and geo-tourism, such as mudflat experiences and infrastructures, such as coastal trails and viewing points. This geosite can help develop diverse geo-education programs that improve key competencies in the science curriculum, such as critical thinking, inquiry, and problem-solving. Furthermore, by conducting optimized geo-education focused on the characteristics of each geosite, the following can be established: (1) the expansion of learning space from school to geopark, (2) the improvement of understanding of specific content elements and linkage between essential concepts, and (3) the extension of the education scope throughout the earth system. There will be positive impacts on communication, participation, and lifelong learning skills through geopark education.

• The Mathematical Education
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• v.59 no.2
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• pp.147-166
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• 2020

Textbooks are important resources in support of teaching and learning mathematics competencies which are emphasized in the most recently revised mathematics curriculum. This study analyzed how six mathematics competencies and their sub-elements are implemented in the mathematics textbooks for the fifth and sixth grades. A total of 465 activities or items in the targeted textbooks were analyzed. The findings of this study showed that both the communication competence and the reasoning competence were the most frequent competencies, followed by the problem solving competence. In contrast, the other three competences (i.e., creativity and integration, attitude and practice, and information processing) were less popular. Detailed analyses of sub-elements according to each competence revealed that one or two specific sub-elements were emphasized within a competence. Whereas "expressing one's idea" was the most prevalent sub-element in the communication competence, both "analyzing mathematical facts" and "observation and conjecture" were the most frequent in the reasoning practice. Specific sub-elements were jointly implemented within or across competences. "External connections of mathematics and integration" in the creativity and integration competence was carried out in relation to "recognition of values" in the attitude and practice competence. This paper also included some examples of activities or items showing how specific sub-elements of each competence were reflected on. This study is expected to provide implications on how to implement mathematics competencies throughout the textbooks.