• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.85-100
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• 2005

In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.

• School Mathematics
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• v.17 no.3
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• pp.447-467
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• 2015

The purpose of this study is to examine how the learning experience understanding degree and radian as the measurement of arc affects the conceptual understanding of radian and measuring angle. For this purpose, we investigated pre-service teachers' understanding about measurement of angle using a length of arc, and then conducted a teaching experiment with two middle school students. The results of analyzing pre-service teachers' and students' response are as follows. Students' experience interpreting the concept of degree into measurement of arc had a positive effect on understanding of radian and students' learning process in which they got measurement of angle as measurement of arc enabled conceptual understanding of 'linear measuring'. Also a circle context and a strategy dividing by arc operated as effective strategies for solving various problems about an angle. Finally, we confirmed that providing direct manipulative activities as a chance to explore relationships between an angle and arc measure can help students' conceptual understanding of measuring angle.

• School Mathematics
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• v.18 no.2
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• pp.425-440
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• 2016

Concept images play an important role in the acquisition of mathematical concept. However, sometimes concept images are derivatives of student's misconceptions. In addition, students always learn concept images despite teachers' efforts to teach concept definitions. Therefore, teachers need to know about all the concept images of a particular concept. This study aimed to analyze the concept image that students have about the triangle when they have already learned about the triangle in school. It was found that some students have different concept images about the triangle between Semo. Moreover, many students have misconceptions about vertices, sides, and angles. In particular, students think Gak denotes a side, although it means angle. Based on these results, I suggest that the curriculum and textbook require improvement.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.33-56
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• 2013

This is a literature study about the concept of 'Division into Equal Parts' in middle school geometry. First, we notice that the concept of the division into equal parts in middle school geometry is given in four themes, which are those of line segments, angles, arches and areas. Second, we investigate and analyse the historical backgrounds of these four kinds of divisions into equal parts. Third, the possibility of extension in terms of method and concept was researched. Through the result of this study, we suggest that it is desirable to use effective utility of history in mathematical teaching and learning in middle school.

• Journal of The Korean Association For Science Education
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• v.26 no.3
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• pp.406-414
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• 2006

This study investigated 7th grade students' context dependency on explanations about propagating path of light in three different contextual problems: observation of an object, observation of an object's image in a mirror, and observation of one's own face reflection in a mirror. Researchers examined student response in each context through interviews. The students were classified into four groups according to their explanations for the three different contexts. Each group was redivided into two or three subgroups in accordance with their conceptual features. After that, researchers investigated the characteristics of each subgroup. Main findings of the study indicated that (1) group 1 students' conceptions differed in each context; (2) group 2 students showed scientific conceptions in C1 context but in C2 context they showed visual ray conceptions or image misconceptions; (3) group 3 students did not show scientific conceptions in C3 context by strong misconceptions about one's own face reflection in the mirror. Also, this paper discussed the educational implications of the results.

• Proceedings of the Korean Society for Information Management Conference
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• 2013.08a
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• pp.123-128
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• 2013

본 연구는 한자어 접미사를 가진 학술용어 복합명사의 형태를 분석하고, 한자어 접미사를 가진 복합 명사의 범주화를 위한 알고리즘을 제시하는 것을 목적으로 한다. 연구의 배경은 구조적 학술용어사전의 구축과 관련하여 용어의 효율적인 개념화 방법론을 개발하는 것이다. 연구 목적을 이루기 위해 한자어 접미사를 가진 인문사회분야 복합명사의 형태를 분석하여, 출현 빈도가 10회 이상인 한자어 접미사를 각 분야별로 14개씩 추출하였다. 그리고 각 한자어 접미사가 배정된 개념범주와 개념범주 배정 빈도를 분석한 결과, 동음이의 한자어 접미사를 가진 경우 개념범주가 다양하게 배정될 수 있지만, 동음동형 한자어 접미사를 가진 경우에는 그렇지 않다는 특징을 파악하였다. 또한 특정 한자어 접미사가 하나의 개념범주에 배정된 빈도가 높고 그 외의 개념범주에 배정된 빈도는 현저히 낮을 경우 빈도가 높은 개념범주에 배정되는 것이 더 타당한 것으로 분석되었다.

• The Mathematical Education
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• v.62 no.1
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• pp.79-93
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• 2023

This study used metaphors as a analysis tool to investigate elementary school students' formation and development of angle concepts. For this purpose, the students were asked to write words associated with angle, right angle, acute angle and obtuse angle and to explain why. In case of angle and right angle, responses of 268 students from 3rd to 6th graders were analyzed and for acute angle and obtuse angle, those of 192 students from 4th to 6th graders were examined. As the results of categorizing the metaphors, they can be classified into categories such as; (1) qualitative aspects: 'things metaphor', 'personality metaphor', 'emotions metaphor' etc., (2) quantitative aspects: 'motions metaphor', 'changes metaphor', 'emotions metaphor' etc., and (3) relational aspects: 'shape relations metaphor.' The metaphoric expressions were prominent in 'qualitative aspects' associated with shapes. As for the other aspects, 'quantitative aspect'- the size of angles and the amount of spread and 'relational aspects' - elements of angle and relationship with another shapes, the frequency increses were shown to as grade levels were up. In case of right angle and acute angle, 'qualitative aspects' associated with shapes were outstanding and the frequency of the metaphoric expressions of obtuse angle was distributed similarly in three aspects. As the figure strand and the measurement strand are integrated to an strand in the 2022 revised curriculum, we need more discussion of multifaced aspects of angle and the learning sequences in the 'figure and measurement' strand.

• Science of Emotion and Sensibility
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• v.1 no.1
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• pp.161-169
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• 1998

제품의 “감성이미지”란 제품의 기능과 함께 제품의 전달하는 감각적 요소 그리고 사용자가 제품을 통해 표현하고자 하는 개념적 표상을 통합하는 이미지이다. 감성이미지의 국제 비교 연구는 사용자가 특정 제품에 대해 가지고 있는 이미지를 구가나 문화의 맥락 속에서 해석하고, 이들 이미지를 상호 비교 평가하고자 한다. 생활문하 속에서 사용자들이 제품에 대해 가지는 감성이미지를 계량적으로 규명하고 비교 평가하며, 이 정보를 기초로 각국의 문화와 정서에 적합한 제품 디자인의 모형을 제시하는데 본 연구의 목적이 있다. 구체적인 연구활동으로 다음과 같은 방법이 제시되었다. 먼저, 각 문화 집단을 특징 지울 수 있는 표상개념으로 “언어 이미지” 스케일을 구성하였다. 이 언어 이미지에 대응하는 디자인 요소로 색채를 활용하여, 언어 개념과 색채 요소에 상응하는 자동차 제품의 감성 이미지가 각 문화 집단에 따라 상이하게 나타날 수 있는지를 비교하고자 하였다. 본 연구에서 나타난 각 문화 집단들이 특정 제품에 대해 적용하는 감성 이미지는 언어와 색체 요소로 구체화 될 뿐 아니라, 이들 집단이 형성한 사회적 표상(social representation)의 개념으로 비교될 수 있는 것을 보이고자 하였다.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04a
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• pp.673-675
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• 2001

본 논문에서는 Product line 개념을 활용하여 체계적으로 각 어플리케이션에 적합한 소프트웨어 테스트 프로세스를 생성할 수 있도록 하는 1)“소프트웨어 테스트 프로세스의 재사용 방안”을 제안하고, 2) 이를 자동화한 “소프트웨어 테스트 프로세스 생성 도구”프로토타입을 제시한다. “소프트웨어 테스트 프로세스의 재사용 방안”은 product line 개념에 따라 표준, 방법론과 도메인을 위한 개발 프로세스들의 공통점과 차이점을 분석하여 core asset들을 CBD개념의 컴포넌트들로 개발하고, 이 core asset들을 가지고 컴포넌트의 맞춤 패턴을 이용하여 손쉽게 각 어플리케이션에 적합한 테스트 프로세스를 생성할 수 있도록 한다. “소프트웨어 테스트 프로세스 생성도구”는 “소프트웨어 테스트 프로세스 재사용 방안”의 core asset 개발 단계에서 개발된 core asset들을 저장소에 재사용을 목적으로 저장하며, 프로덕트 개발 단계를 자동화하여 각 어플리케이션에 적합한 테스트 프로세스를 생성한다.