• Communications of Mathematical Education
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• v.35 no.4
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• pp.505-525
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• 2021

In this study, we investigated how multiplication by 2-digit numbers had been taught in elementary mathematics textbooks of Korea, Japan, Singapore, and USA. As a result of analysis, we found as follows. Korean textbooks do not teach the multiplication by 10 and the multiplication by power of 10, but Japanese, Singapore, and US textbooks explicitly teach related content. In the '×tens' teaching, Japanese and American textbooks teach formally the law of association of multiplication applied in the process of calculating the partial product of multiplication. The standard multiplication algorithm generally followed a standard method of recording partial product result according to the law of distribution, but the differences were confirmed in the multiplication model, the teaching method of the law of distribution, and the notation of the last digit '0'. Based upon these results, we suggested some proposals for improving the multiplication teaching.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.255-273
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• 2019

In order to help students to understand the essence of prime concepts, this study looked at the history of prime concept development and analyzed how to introduce the concept of textbooks. In ancient Greece, primes were multiplicative atoms. At that time, the unit was not a number, but the development of decimal representations led to the integration of the unit into the number, which raised the issue of primality of 1. Based on the uniqueness of factorization into prime factor, 1 was excluded from the prime, and after that, the concept of prime of the atomic context and the irreducible concept of the divisor context are established. The history of the development of prime concepts clearly reveals that the fact that prime is the multiplicative atom is the essence of the concept. As a result of analyzing the textbooks, the textbook has problems of not introducing the concept essence by introducing the concept of prime into a shaped perspectives or using game, and the problem that the transition to analytic concept definition is radical after the introduction of the concept. Based on the results of the analysis, we have provided several pedagogical implications for helping to focus on a conceptual aspect of prime number.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.123-139
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• 2019

This study analyzed how problem-posing tasks included in Korean middle school mathematics textbooks were distributed in terms of content area, task type, and context of task to investigate that the mathematics textbooks are giving students ample opportunities for problem-posing activities. The analysis of 10 mathematics textbooks for first grade in middle school according to the revised mathematics curriculum in 2015 found that the problem-posing tasks contained in the textbooks are insufficient in quantity and not evenly distributed in terms of content areas. There were also more problem-posing tasks with relatively moderate constraints than those with strong or weak constraints in terms of mathematical constraints. In addition, there were more problem-posing tasks that were not requiring students to make a new context, and more often camouflage contexts were used. Based on this, implications for improving mathematics problem-posing tasks in mathematics textbook were suggested.

• The Journal of the Convergence on Culture Technology
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• v.8 no.1
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• pp.1-8
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• 2022

This study examined whether the integrated education social studies textbooks developed for students with disabilities were properly implemented in terms of universal design for learning. For analysis, "Teaching and learning materials for inclusive education of students with disabilities: grade 3~6 social studies textbooks", which were instructional adaptation, were selected for students with disabilities who are unable to learn the contents of general textbooks for the 3rd to 6th grade of the elementary school social course in the 2015 revised curriculum. The social curriculum grades are composed of 20 units, including general public, geography and history. The content analysis standard was based on detailed items of 9 definitions according to the 3 principles of UDL presented in CAST (2018). Overall, the aspect of providing multiple means of action and expression was the most frequently observed, followed by providing multiple means of representation and providing multiple means of engagement. Special education teachers and textbook developers can use these results as a resource for designing curricula and lessons for students with disabilities in the inclusive classroom.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.89-105
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• 2022

In this research, in order to obtain teaching/learning implications for effective use of questions when teaching number and operation area, the types of questions presented in chapters of number and operation area of 2015 revised elementary math textbooks and the function of questions were compared and analyzed by grade cluster. As a result of this research, the types of questions presented in chapters of number and operation area showed a high percentage of occurrences in the order of reasoning questions, factual questions, and open questions not calling for reasoning in common by grade cluster. And reasoning questions were predominant in all grade clusters. In addition, in all grade clasters, the proportion of questions acting as a function to help guess, invention, and solving problems and questions acting as a function to help mathematical reasoning were relatively high. As such, it can be inferred that the types and functions of the questions presented in chapters of number and operation area are related to the characteristics of the learning content by grade cluster. This research will be able to contribute to the preparation of advanced teaching/learning plans by providing reference materials in the questions when teaching number and operation area.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.213-231
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• 2023

The purpose of this study was to analyze and derive pedagogical implications from elementary mathematics textbooks that align with the revised 2015 curriculum. Specifically, the focus was on the chapters related to simplifying fractions, finding a common denominator, and performing addition and subtraction of Fractions with Different Denominators. The analysis revealed that the overall structure of these chapters was similar across the textbooks, but variations existed in terms of the main activities and the textbook organization. Furthermore, different textbooks employed various types and quantities of visual representations. When designing lesson directions and content, it is crucial to consider the strengths and weaknesses of each visual representation.

• Communications of Mathematical Education
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• v.37 no.1
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• pp.47-64
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• 2023

The current elementary mathematics curriculum does not include intensive quantity. However, other subjects also deal with intensive quantity. In order to find a solution to this problem from a pedagogical point of view, the curriculum of mathematics, science, social studies, and elementary textbooks were compared and analyzed, focusing on intensive quantity. As a result of the analysis, the learning contents of intensive quantity were not explicitly presented or the term was not used in the elementary mathematics curriculum. However, intensive quantity was used as a material of activity and word problems in elementary mathematics textbooks. In science and social studies, it was also found that the learning order and content did not match, such as calculating the intensive quantity. For effective learning, it is necessary to consider presenting intensive quantity in elementary mathematics, and to be careful in the composition of learning order and content.

• Smart Media Journal
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• v.13 no.5
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• pp.45-51
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• 2024

Recently, realistic contents such as virtual reality(VR) and augmented reality (AR) are widely used for education to provide beneficial learning environments with thee-dimensional(3D) information and interactive technology. Specially, AR technology will be helpful to intuitively understand by adding virtual objects registered in the real learning environment with effective ways. In this paper, we developed an AR learning system using 3D spatial information in the 2D based textbook for studying math related to geometry. In order to increase spatial learning effect, we applied to solid shapes such as prisms and pyramids in mathematics education process. Also, it allows participants to use various shapes and expression methods (e.g., wireframe mode) with interaction. We conducted the experiment with our AR system, evaluated achievement and interest. Our experimental study showed positive results, our results are expected to provide effective learning methods in various classes through realistic visualization and interaction methods.

• Journal of Korean Home Economics Education Association
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• v.28 no.4
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• pp.21-43
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• 2016

The purpose of this study is to examine the text and learning activities of Korean and American home economics textbooks from the perspective of building adolescent empowerment and to suggest an alternative framework for the textbook. An in-depth content analysis was conducted for the Korean and American home economics textbooks. We analyzed the text and learning activities in the textbook on three levels of empowerment: Micro, Meso, and Macro. Major findings are as follows. First, in the case of Korean textbooks, the results showed that the three levels of empowerment were off-balance (Individual Empowerment: 55%, Group E: 37%, Organizational E: 8%). The educational contents in Korean textbooks were described at the Meso-level. In the case of the American textbooks, the result showed that the educational contents of IE(43%), GE(40%), and OE(17%) were relatively balanced. Therefore, the educational contents of the American textbooks were described at the Macro-level. Second, the learning activities in the Korean textbooks put a greater weight on IE at 66%, followed by GE at 25%, but OE at 9% only. The results showed that learning activities in Korean textbooks were presented at the Meso-level, but that the three levels of empowerment were significantly off-balance. In the case of the American textbooks, the results showed that the learning activities were comparatively well balanced at IE(36%), GE(40%) and OE(23%). Therefore, learning activities in the American textbooks were presented at the Macro-level. Based on the results, we suggested an alternative framework for 'understanding of self as an adolescent' unit, to build adolescent empowerment at the Macro-level.

• Journal of Korean Home Economics Education Association
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• v.24 no.4
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• pp.19-37
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• 2012

This study aims to give a broad overview of family-related contents in home economics from the 1st national curriculum to the 2007 revised national curriculum, thereby contributing to value fulfillment, textbook research, and educational development of home economics. The findings are summed up as follows: First, this study looks at the change of family-related goals and contents in home economics tutorials by national curriculum. Family-related goals shift a focus from a member of nation to individual pursuit of happiness, and the scope of family-related contents expands from a part of family (i.e. understanding of children) to every aspect of family life. Second, family-related contents record a higher share in home economics textbooks at the later stage of national curriculum. Third, this study classifies the change of family-related contents in home economics textbooks by national curriculum into seven categories: understanding of human development, process of human development, parenting and parental roles, understanding of family and family transition, marriage and family development, family relationship and issues, and family well-being. In particular, 'understanding of human development' underscores fundamental principles between the 3rd~6th national curriculum, 'process of human development' broadens its initial focuses on infancy and the preschool period to every scope of human development after the 5th national curriculum. 'Parenting and parental role' continues to stress parental roles and duties plus childcare for infants and preschoolers. In 'understanding of family and family transition,' national curriculums show the biggest difference in family perspectives subject to social change, and later national curriculums feature various family types recently on the rise. In 'marriage and family development,' initial national curriculums construe marriage as a necessity, whereas later national curriculums emphasize it as a matter of choice intertwined with mature love and responsibility. With coming under spotlight in recent national curriculum, 'family relationship and issues' highlights communication and family views based on gender equality for family unity. 'Family well-being' constitutes a pivotal part in the 2007 revised national curriculum, and it has recently emerged as the hottest issue in the family area as it presents lifelong welfare.