• 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 the Korean Chemical Society
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• v.64 no.3
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• pp.159-174
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• 2020

The purpose of this study is to examine 'Design Thinking' based Chemistry Class program as an education strategy for core competence of creative convergence talent. The program stages were modified and supplemented into eight stages, including 'Knowledge Understand', 'Empathy', 'Sharing perspective', 'Ideate', '1st Prototype', '1st Test', '2nd Prototype', and '2nd Test', so that the 'Design Thinking Process in Science Education' can be applied to the chemistry class. Considering the linkage between the 2015 and 2009 revised national curriculum, the achievement criteria were selected, and the lesson plans and student activity sheet were developed according to the themes to be met. Four thematic educational programs were developed and applied to Chemistry I for the second grade of high school students from March to August. The results were verified through qualitative data analysis of the class scene and pre- and post-test based on inventories of 'Empathy' 'STEAM educational competence', 'Problem solving process'. As a result of applying the developed program, 'empathy' showed a significant improvement in empathy with others and empathy with the problem situation. In 'STEAM educational competence', there was a significant enhancement in science and design competence. In the 'problem finding process', the problem definition, problem solution design, and problem-solving review were significantly improved in the 'problem-solving process'. The results of this study provided implications for the applicability of design thinking - based chemistry classes and its educational effect.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.281-300
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• 2015

The purpose of this research is to analyze cognitive demands, answer types, and storytelling types on the basis of mathematical tasks in five different mathematics textbooks based on 2009 revised curriculum in order to suggest directions for the development and use of storytelling mathematics textbooks in school. Results show that first, PNC (Procedures without Connections) task was the largest category in cognitive demands of all mathematical tasks, Low-Level task was larger than others in cognitive demands of mathematical content tasks, and High-Level task was larger than others in cognitive demands of mathematical activity tasks. Second, a short-answer type was the largest category in answer types of all mathematical tasks, the majority of mathematical content tasks were a short-answer type, and the majority of mathematical activity tasks were both short-answer and explanation-answer types. Finally, storytelling connected to real-life was the largest category in storytelling types, and the number of mathematical activity tasks was less than that of mathematical content tasks. However, in the tasks reflected on storytelling, the percentage of mathematical activity tasks was higher than that of mathematical content tasks. Based on the results, while developing storytelling mathematics textbooks and using storytelling textbooks in school, it suggests to consider the need for balance and diversity in cognitive demands, answer types, and storytelling types according to mathematical tasks.

• 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.

• School Mathematics
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• v.17 no.3
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• pp.493-513
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• 2015

This study is based on the perspective that tasks in local and global contexts are important to raise students' ability to mathematically analyze and solve diverse phenomena and social issues as members of future civil society. Therefore, this study analyzes 880 real world tasks from 13 types of 7th grade textbook based on 2009 revised Curriculum. As a result of analyzing tasks by using 3 types of context category and 9 types of ways as analysis framework and allowing repetitive coding, personal context was most frequent in the context of Younbokhap. In level of Integrated ways of Yungbokhap, sequential model in which other subjects' topics were not directly related to mathematics problem or presented in simple description is most frequent. The result shows that the textbooks are too limited to develop learner's competencies. Through such analysis result, we discuss about the necessity and methods of developing tasks which allow learners to study further in future society and global context and which connect other subjects' knowledge and social issue with mathematics in deeper level.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.1
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• pp.81-105
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• 2015

The purpose of this study was to analyze the perceptions of creativity in mathematics of preservice elementary school teachers. Creativity in Mathematics is one of the most important components in mathematics teaching and learning, which has been emphasized in the Principles and Standards for School Mathematics and the 2009 Revised Mathematics Curriculum. For this study, the researcher analyzed reports of creativity in mathematics in mathematics lessons from the perspectives of 55 preservice elementary school teachers. The preservice teachers observed 55 mathematics lessons focusing on creativity in mathematics during their two-week-student-teaching period. The results showed the followings. First, the preservice teachers had a narrow perceptions on creativity in mathematics. Second, observational experiences of mathematics lessons led the preservice teachers to reconsideration of creativity in mathematics. Third, the preservice teachers provided a various strategies to enhance students' creativity in mathematics. The researcher suggested the followings. First, definitions and practices of creativity in mathematics should be included in the teacher education programs. Second, mathematics textbooks should include creativity in mathematics in a sophisticated manner. Third, creativity-rich materials should be developed and distributed to teachers. Finally, well-designed teacher training programs should be necessary.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.501-525
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• 2015

This study analyzes arithmetic word problem of multiplication and division in the mathematics textbooks and workbooks of 3rd grade in elementary school according to 2009 revised curriculum. And we analyzes type of the problem solving ability which 4th graders prefer in the course of arithmetic word problem solving and the problem solving ability as per the type in order to seek efficient teaching methods on arithmetic word problem solving of students. First, in the mathematics textbook and workbook of 3rd grade, arithmetic word problem of multiplication and division suggested various things such as thought opening, activities, finish, and let's check. As per the semantic element, multiplication was classified into 5 types of cumulated addition of same number, rate, comparison, arrayal and combination while division was classified into 2 types of division into equal parts and division by equal part. According to result of analysis, the type of cumulated addition of same number was the most one for multiplication while 2 types of division into equal parts and division by equal part were evenly spread in division. Second, according to 1st test result of arithmetic word problem solving ability in the element of arithmetic operation meaning, 4th grade showed type of cumulated addition of same number as the highest correct answer ratio for multiplication. As for division, 4th grade showed 90% correct answer ratio in 4 questionnaires out of 5 questionnaires. And 2nd test showed arithmetic word problem solving ability in the element of arithmetic operation construction, as for multiplication and division, correct answer ratio was higher in the case that 4th grade students did not know the result than the case they did not know changed amount or initial amount. This was because the case of asking the result was suggested in the mathematics textbook and workbook and therefore, it was difficult for students to understand such questions as changed amount or initial amount which they did not see frequently. Therefore, it is required for students to experience more varied types of problems so that they can more easily recognize problems seen from a textbook and then, improve their understanding of problems and problem solving ability.