'점'과 '선'에 관한 수학적 분석과 교과서 분석

이규희,Yi, Gyuhee 한국학교수학회 2021 한국학교수학회논문집 Vol.24 No.1

In this study, mathematical analysis is conducted by focusing to the 'size' of the 'point' and the 'line'. The textbook descriptions of the 'point' and the 'line' in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum and US geometry textbooks were compared and analyzed between. First, as a result of mathematical analysis of' 'the size of a point and a segment', it was found that the mathematical perspectives could be different according to 1) the size of a point is based on the recognition and exclusion of 'infinitesimal', and 2) the size of the segment is based on the 'measure theory' and 'set theory'. Second, as a result of analyzing textbook descriptions of the 'point' and the 'line', 1) in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum, after presenting a learning activity that draws a point with 'physical size' or line, it was developed in a way that describes the 'relationship' between points and lines, but 2) most of the US geometry textbooks introduce points and lines as 'undefined terms' and explicitly states that 'points have no size' and 'lines have no thickness'. Since the description of points and lines in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum may potentially generate mathematical intuitions that do not correspond to the perspective of Euclid geometry, this study suggest that attention is needed in the learning process about points and lines.

소시얼 마아케팅의 이념과 실현에 관한 연구 : 환경보존에 관한 독일소비자들의 의식을 중심으로

李圭熙 대구산업정보대학 1991 논문집 Vol.5 No.-

Zur Zeit in Korea sind Probleme des Umweltschutzes versta¨rk in den Mittelpunkt der o¨ffentlichen Diskussion geru¨ckt. Die Auseinundersetzung mit einer seit Anfang 70er Jahre in allen hochindustriealisierten La¨ndern zu beobachtenden Verbraucherbewegung hat dazu beigetragen, daβ die Verhaltensweisen von Uternehmungen und insbesondere die Marketingaktivita¨ten zunehmend under dem Gesichtspunkt von Umweltbelangen betrachtet werden. Mit den Forschungen des Umweltschutzes ist zuna¨ chst die soziale Verantwortung des Marketing angesprochen, d.h, die Bereitschft von Unternemungen, einen Beitrag zur. Lo¨sung von Umweltproblemen zu leisten. Auβerdem wird die Akzeptanz von Neuerungen, die sich auf eine Lo¨sung von Umweltprovlemen beziehen, vor allem von dem sozialen Bewuβtsein von Konsumenten abha¨ngen. Dabei hundelt es sich um die Einsichten und Verhaltenweisen von Individuen im Zusammenhang mit den sozialen und. o¨kologischen Konsequenzen des Konsumverhaltens. Der Zweck dieser Studie ist die Vorzeigung der Maβnahmen zur Lo¨sung von Umweltproblemen durch soziales Bewuβtsein von Konsumenten im Social Marketing Bereich. Aber in der Literatur wird mit dem Begriff Social Marketing kein einheitlicher Bedeutungsinhalt verbunden. Die wesentlichen Diskussionspunkte bestunden zum einen darin, ob Social Marketingaktivita¨ten als Marketing nichtkommerzieller Organisationen anzusehen sind oder als eine Ausp ra¨gung des Marketing erwerbswirtschaftlich orientierter Unternehmen gelten. Fu¨r diese Studie soil die folgende Social Marketing definition zugrunde gelegt werden:Social Marketing ist die Plannunjg, Organisation, Durchfuhrung und Kontrolle von Marketingstrategien und aktivita¨ten kommerzieller und nichtkommerzieller Organisationen, die direkt oder indirekt auf die Lo¨sung sozialer Aufgaben gerichtet sind. Zu genanntem Zwecke bestand diese Studie aus einer empirischen Untersuchung, d,h. einer mu¨ndlichen Befragung, die im Dezember 1989 bei einer fu¨r die Bevo¨lkerung in West Berlin repra¨sentativen Stichprobe 200 Personen durchgefu¨hrt wurde. In Meinungsbefragung konnte festgestellt werden, daβ diese sozialen und o¨kologischen Problembereiche in der Meinung der deutschen Bevo¨lkerung in West Berlin u¨berwiegend als wichtig eingestuft werden. Die aufgezeigten Implikationen der empirischen Ergebnisse konnten deutlich machen, daβ die Verbrauchererziehung und Verbraucherbildung fu¨r Umweltschutz in BRD sehr gut durchgefu¨hrt werden. In Bezug auf diese empirischen Ergebnisse sind die Vorschla¨ge zur Erho¨hung des sozialen Bewuβtseins von Konsumenten in Korea folgendermaβen: 1. Gru¨ndung der Verbrauchererziehung und Verbraucherbildung. 1) Schulerziehung. 2) Sozialbildung. 2. Neuere Ansa¨tz und Entwicklung in der Verbrauchererziehung und Verbraucherbildung. 1) Formale Qualifikation: Vom linearen zum vernetzten Denken. 2) Praktische Qualifikation: Vom Denken zum Hundeln. 3) Affektive Qualifikation: Vom rationalen Hundeln zum Umgang mit Gefu¨hlen. 4) Politische Qualifikation: Vom individuellen zum solidarischen Hundeln. 5) Ethische Qualifikation: Vom eigennutzorientierten zum sozialverantwortlichen Hundeln. 6) Okologische Qualifikation: Vom Hundeln Zum Verzicht. Schlieβich wikrd es unterschiedliche Interpretationen und Bewertungen dieser Ergebnisse geben. Fu¨r die zuku¨nftige Forschung scheint es zweckma¨βig zu sein, sich den komplexen Problemen durch eine sta¨rkere empirische Forschung anzuna¨hern. Mit den vorliegenden Ergebnisse des sozialen Bewuβtseins von Konsumenten in West Berlin konnten lediglich erste Ansatzpunkt eines vielschichtigen Ptoblems aufgezeigt werden. Zuku¨n`ftig sind in diesem Bereich weitere Forschungen erforderlich. So ist es beispielsweise notwendig, das soziale Bewuβtsein von Konsumenten in Korea gegen- u¨ber bestimmten Themen und produkten zu untersuchen.

수학에 대한 태도 검사도구 개발 연구 -Perry의 발달도식과 Langer의 마인드풀니스를 기반으로-

이규희,이지현,최영기 대한수학교육학회 2017 학교수학 Vol.19 No.4

In this study, instruments were developed to measure of mathematics attitudes by conceptualization of epistemological beliefs as a cognitive dimension, mindfulness as a conative dimension, affect as an affective dimension. Perry's epistemological development scheme and Langer's mindfulness theory was noticed as a theoretical approach. Exploratory factor and confirmatory factor analyses, and a reliability test were assessed. This article suggest a new framework for analysing attitudes toward mathematics and changes in attitudes toward mathematics. 본 연구에서는 수학에 대한 태도를 인지적 차원의 인식론적 신념과 능동적 차원의 행동 의도, 정서적 차원의 감정으로 개념화하여, 수학에 대한 태도를 측정하기 위한 검사도구를 개발하고 타당화하였다. 인지적 차원의 수학에 대한 인식론적 신념과 능동적 차원의 수학에 대한 마인드풀니스의 하부구인을 구성하기 위하여 Perry의 인식론적 신념 발달도식과 Langer의 마인드풀니스 이론을 고찰하였다. 예비조사와 본조사를 거쳐 신뢰도와 탐색적ㆍ확인적 요인분석을 실시한 결과, 본 연구에서 개발한 검사도구는 수학에 대한 태도를 측정하기에 적합함을 확인할 수 있었다. 본 연구에서 개발한 수학에 대한 태도 측정 검사도구는 수학적 지식을 수동적으로 암기하는 수학 교수학습 상황을 진단하고 그 대안을 모색하기 위한 새로운 관점의 분석적 틀을 제공할 수 있을 것이다.

조건부적 마인드풀니스 수학과제의 잠재적 영향력에 대한 탐색

이규희,이지현,최영기 대한수학교육학회 2018 학교수학 Vol.20 No.3

본 연구는 Langer의 마인드풀니스를 수학교육에 적용하여, 조건부적 방식의 수학과제가 학생들의 수학에 대한 사고성향에 어떠한 영향을 미칠 수 있는지를 분석하였다. 예비중학생들을 대상으로, 음수와 관련된 조건부적 마인드풀니스 수학과제의 경험이 관련 내용에 대한 유연성에 어떠한 영향을 미칠 수 있는지를 조사하기 위하여 두 차례의 실험을 수행하였다. 실험 1의 실험집단에는 음의 부호에 대해 조건부적 사고를 요구하는 수학과제를, 실험 2의 실험집단에는 통상적인 교과서 과제의 서술어를 보다 조건부적 표현으로 변형한 수학과제를 제공하고, 각 실험의 비교집단에는 같은 내용을 다루는 교과서 과제를 제공한 후, 실험-비교집단의 음수에 대한 유연성을 독립변인 t-검정으로 비교 분석하였다. 그 결과, a)수학 내용에 대한 조건부적 사고를 자극하는 마인드풀니스 수학과제(실험 1) 및 조건부적 언어로 표현된 마인드풀니스 수학과제(실험 2)를 제공했던 실험집단은 해당 내용의 교과서 과제를 접했던 비교집단과 수학에 대한 유연성에서 통계적으로 유의한 차이가 나타나지는 않았다. 그러나 b)실험 2의 수학에 대한 유연성에 대한 세부 설문문항 결과에서는 조건부적 언어가 학생들의 수학에 대한 유연성에 긍정적인 영향을 미칠 수 있는 가능성을 확인할 수 있었다. 한편 c)실험 1ㆍ2 모두 조건부적 방식의 수학과제가 학생들의 음수에 대한 유연성에 미치는 영향력은 음수에 대해 선행지식이 있던 학생 집단에서 보다 더 높게 나타났다. 이는 통상적인 방식으로 이미 음수를 학습한 경험이 있는 학생들이 조건부적 마인드풀니스 수학과제에 더 민감하게 반응한 것으로 해석할 수 있다. 이와 같은 본 연구의 결과는 Langer의 마인드풀니스를 수학교육에 적용하고 조건부적 방식을 이용한 수학 교수학습 방안을 탐색하는 데 기여할 수 있을 것이다. This study examines the potential of mindful learning in mathematics education. Two experiments were performed to investigate the effect of conditional mathematical task applied with a Langer's mindfulness theory. To analyze the impact on thinking disposition towards mathematics statistically, intellectual quest and flexibility are identified as aspects of thinking disposition towards mathematics. The results of experiments suggest that mindful mathematical task using conditional language can be a simple but helpful design method of mathematics teaching and learning materials for developing flexibility toward mathematics. The implications of these findings for further developing conditional instruction and mindfulness in mathematics education are discussed.

환경보호에 대한 소비자들의 의식 및 특성에 관한 실증적 연구

李圭熙 대구산업정보대학 1997 논문집 Vol.11 No.1

Environmental protection has received much attention in recent business literature and among consumers in Korea as a result of rapid economic growth and elevation of standards of living. Although recognition of environmental protection is still very low in developing countries, environmental protection has become a kind of social movement necessary for every life in developing countries. Korea is approaching the rank of the industrized nations. It is high time, therefore, to review the implications of environmental protection and adopt the necessary means for environmental protection. The purpose of this study is propose a scheme which is necessary to arouse environmental protection in Korea through the recognition test concerning environmental protection. A field survey was conducted to study the attitude of consumers in Taegu area toward environmental protection. Its result reveals that the consumers interviewed responded negatively and in a lukewarm manner toward environmental protection regardless of demographic variables. A major reason for this negative result was traced to lack of knowledge, and indifference prevalent among Taegu consumers. However, it is strongly believed that environmental protection can only be effective by implementing active environmental protection laws and firms' voluntary efforts to share with consumers for the mutual interest. The business circles have to build a self-regulating system in order to attain true environmental protection. Environmental protection can bear fruit only when the cooperative system is set up through action among business circles, consumers and government authorities.

적응적 병렬 검색을 지원하는 스트리밍 XML 파서

이규희,한상수,Lee, Kyu-Hee,Han, Sang-Soo 한국정보통신학회 2013 한국정보통신학회논문지 Vol.17 No.8

An XML is widely used for web services, such as SOAP(Simple Object Access Protocol) and REST (Representational State Transfer), and also de facto standard for representing data. Since the XML parser using DOM(Document Object Model) requires a preprocessing task creating a DOM-tree, and then storing it into memory, embedded systems with limited resources typically employ a streaming XML parser without preprocessing. In this paper, we propose a new architecture for the streaming XML parser using an APSearch(Adaptive Parallel Search) on FPGA(Field Programmable Gate Array). Compared to other approaches, the proposed APSearch parser dramatically reduces overhead on the software side and achieves about 2.55 and 2.96 times improvement in the time needed for an XML parsing. Therefore, our APSearch parser is suitable for systems to speed up XML parsing.

그린 마케팅적 接近을 통한 消費者 環境意識 高揚方案 : 消費者 環境意識戀化를 中心으로

李圭熙 대구산업정보대학 1998 논문집 Vol.12 No.1

Environmental problems such as resource depletion, energy shortage and pollution due to mankind's reckless production and consumption have become serious. The ecosystem has deteriorated, and the health and survival of mankind are threatened by environmental problems. Thus, this study aims at helping the green marketing stretegy for raising of consumer's environmental consciousness through comparing the recognition test concerning environmental protection in 1990 with in 1996. As shown in the results, consumers responded negatively and in a lukewarm manner toward environmental protection. A major reason for this negative result was traced to lack of knowledge, and indifference prevalent among consumers. The following measures are proposed to arouse active interest in environmental protection. 1. Establishment of consumer education system through the subjects of green marketing. 2. Development of green marketing program for environmental protection. However, it is strongly believed that environmental protection can only be effective by implementing active environmental protection laws and firm's voluntary efforts to share with consumers for the mutual interest. The business circles have to build a self-regulating system in order to attain sure environmental protection. Enviromental protection can bear fruit only when the cooperative system is set up through cooperative action among business circles, consumers and government authorities.

과학 ․ 수학 영재의 독서지도를 위한 도서 분류체계 개발

이규희,정민주,최영기 한국과학영재교육학회 2010 과학영재교육 Vol.2 No.3

본 연구는 과학․수학 영재교육에 독서 활용의 의미를 점검하고, 독서프로그램의 효율적 운영 을 돕기 위한 도서 분류 체계의 개발을 목표로 한다. 풍부한 독서 자료와 다양한 교육적 요구를 가지 고 있는 학생에게 최적의 독서 기회를 제공하기 위해서 독서 프로그램은 합리적인 교육적 선택을 통 해 구성되어야 한다. 이를 위해 독서 프로그램의 구체적 자료 및 연계 활동이 안내된 기초자료가 주 어진다면 독서 프로그램 운영의 수월성에 기여할 수 있을 것으로 판단된다. 이러한 요구에 부합하여 본 연구에서는 도서 분류의 틀 및 체계를 개발하고자 하였다. 도서 분류체계의 개발을 위해 독서 프 로그램을 설계 운영하고 평가하였으며, 이 과정을 분석하여 교육적 실천적 과제들을 발견하였다. 이 렇게 분석된 내용들은 독서 지도 시 고려해야 할 항목들로 선정 되었다. 독서지도 프로그램의 분석 및 진단은 2008년과 2009년도 서울대학교 과학영재교육센터에서 수행된 내용을 바탕으로 하였으며, 이들 고찰 결과를 토대로 도서 분류체계의 구성에 유효하고 실증적인 함의점들을 정리하였다. 개발 된 과학․수학 관련 도서 분류체계는 다양한 교육적 요구 및 필요성에 부합할 수 있는 세부항목으로 구성되며, 책의 종류 및 키워드, 독서시간, 교과관련 기대효과 등이 그 예시이다. 이들 분류 틀은 각급 영재교육기관 및 학교 현장의 독서지도 프로그램의 개발에 유효한 기초자료가 될 것으로 기대된다. The importance of educational value of reading has been highlighted in the East and the West from the old times, gifted education is needed considering enhancement of national competitive power, and betterment of the gifted children's personal life. So, in korea, we recognized the importance of gifted education and put a lot of efforts to distinguish gifted children and develop curriculum and program for them for the past 10 years. However, current science-gifted education program emphasizes cognitive domain, and the special program for affective domain does not seem to be performed actively. Therefore, in this paper, we suggest a reading guidance program, a program considering both cognitive and affective area, aiming for the gifted students in their growth process ; the time when they have intellectual development, search for self and value of life. First of all, we analyzed and discussed the reading guidance program, put through to students in Seoul National University Mathematics-Gifted Education Center in 2008 and 2009. After that we revised and complemented this program and developed a book classification system considering students’ present state of learning and reading, which is feasible in educational institution for the mathematically gifted children. In developing this program, WICS model by Sternberg and DMGT model by Gagné were taken into consideration, and in the purpose of book selection, meaning and present state of reading education, necessity of book selection standards, reading motive, immersion reading and analytic reading material study were surveyed.

난각색에 대한 한국 소비자 기호도 조사 -가금티푸스 저항성 계통 개발연구에서 생산된 계란을 중심으로-

이규희,한성욱,이봉덕,오봉국,김기석 한국가금학회 2003 한국가금학회지 Vol.30 No.1

It has been well documented that white egg layers are far more resistant to fowl typhoid than the brown egg layers. In Korea, however, most consumers prefer brown eggs to white ones. Therefore, a study was conducted to Produce fowl typhoid-resistant crossbred layers producing somewhat brown-colored eggs. Several crossbred strains were obtained from crossbreeding white egg lines (W) with brown egg lines (B). These crossbred layers (W${\times}$B) produced eggs with varying degrees of brown-colored shells between the white eggs obtained from W (White) and the brown eggs from B (Brown). Eggs from the peak stage of production were collected and their eggshell color values were measured. The mean eggshell color values of White and Brown were 81.9 and 36.4, respectively. Eggs from the crossbred lines (W${\times}$B) were collected, and their eggshell color values were measured to re-group these eggs according to their color. The mean eggshell color values of Trt-White, Middle, and Trt-Brown were 70, 60, and 50, respectively (Fig. 1). A total of 247 people living in Daejeon area, mainly housewives, took part in this survey. First, they were offered eggs with varying degrees of eggshell color in a paper egg-tray, together with a questionnaire. After they filled out the first questionnaire, they were instructed that the eggshell color has nothing to do with its nutritive value. In the second questionnaire, their preference on both eggshell color and price, i.e., purchasing will, were investigated. In the first questionnaire, the Brown (eggshell color lightness 36.4) were most preferred, and the Trt-white (eggshell color lightness 70) were least preferred. No statistical significance was detected between Brown and Trt-Brown, and White and Trt-White. In the second questionnaire, the trend was the same as in the first. Although no significant difference was found between Trt-Brown and Brown, however, the Trt-Brown were most preferred, surpassing the Brown. In conclusion, regardless of the nutritive values, the Korean consumers prefer brown eggs to white ones, and this trend could be changed gradually through consumer education.

논산 쌍계사의 근대 불화 연구

이규희 동악미술사학회 2021 東岳美術史學 Vol.- No.29

현재 논산 쌍계사 대웅전에는 1923년 대규모 불사 당시 제작된 <삼불회도>와 <신중도>가 봉안 되어 있다. 두 점의 불화는 청암 김윤환이 발원하고 시주했으며, 계룡산 화파로 알려져 있는 湖隱定淵, 普應文性, 春花万聰 등에 의해 제작되었다. 본 연구에서는 쌍계사의 연혁과 불화의 발원자, 제작자, 화풍을 순서로 두 점의 불화에 대해 살펴보았으며, 나아가 당시 쌍계사의 상황, 사찰과 지역유지와의 연관성, 계룡산 화파의 불화 불사 현황과 화풍을 중점적으로 분석하였다. 먼저, 1923년 쌍계사의 불사를 주도했던 김윤환은 공주 부호로, 고종 재위에 관리로 지냈고 자선사업과 불사로 명망이 높았던 인물이었다. 이러한 김윤환의 후원으로 인해 사세가 기운 쌍계 사는 대규모 불사를 감행할 수 있었으며, 매년 물품을 시주받을 수 있었다. 당시 <삼불회도>와 <신중도>의 제작은 계룡산 화파인 정연, 문성, 만총이 주도하였는데, 이들 은 1890년대부터 1930년대까지 그룹으로 활동하였다. 그렇기 때문에 세 화승은 중국화보와 서양 화법을 사용한다는 공통점이 드러나며, 해당 작품의 상호나 옷, 구름에 음영을 주고 그림자를 표 현한 것을 찾을 수 있다. 또한 <신중도>에서 사화상이나 관운장이 신장상으로 표현된다. 1923년이 되면 정연, 문성, 만총은 후배들은 거느리고 불사에 참여했던 시기였기에 개인의 화 풍이 뚜렷한데, 이는 특히 만총이 출초로 기재된 <신중도>에서 확인된다. 화면 중앙에 조선 후기 관리형 도상 4위는 다른 신중도에서 볼 수 없는 유일한 사례인데, 이는 만총은 산신도, 현왕도 등 의 불화에 관리형 도상을 적극적으로 활용하는 특징을 지닌 화승이기에 가능하였다. 이에 선행연 구에서는 조선시대 관리형 도상이 고종과 흥선대원군일 것이라는 추측 하였으나, 당시 사회 통념 상 임금의 의복과 얼굴을 공개할 수 없었기 때문에 당시 쌍계사의 불사에 중요한 인물인 김윤환의 모습을 4위의 관리형 도상으로 형상화하였을 가능성도 높다고 생각된다. 특히 김윤환은 관직 생 활 중 4가지 품계를 받았는데, 이는 <신중도>에서도 네 가지 색상으로 표현된다. 이러한 색상들은 실제로 계급을 상징했기 때문이다. 또한 당시 김윤환은 1923년 불사 당시 사세가 기운 쌍계사를 전폭적으로 지원했고, 많은 돈을 백성과 사찰의 불사 등 사회에 환원했다는 점, 당시 여러 회사 를 차려 충청도에서 영향력을 행사하고 높은 관직에 올랐던 명망 높은 인물인 점을 근거로 들 수 있다. Nonsan Ssanggyesa Temple enshrines two Buddhist paintings at Daeungjeon Hall, the temple’s Buddhist sanctum: Three Buddhas Painting(三佛繪圖), and Paintings of Buddhist Guardian Deities(神衆圖). They were created at the time of a mass Buddhist service held in 1923. The two paintings were commissioned and donated by Cheongam Kim Yun-hwan, and created by Hoeun Jeongyeon, Boeung Munseong, and Chunhwa Manchong, who are known as members of the Gyeryongsan school. This study analyzes the background, creators, commissioners, and styles of the two paintings. This study contributes to understanding the situation of the Ssanggyesa Temple at the time, its relationship with local leaders, the status and style of the Gyeryongsan school. First, Kim Yun-hwan, who led the Buddhist service at the temple in 1923, was a government official during the reign of King Gojong of Joseon. Being a man of vast wealth, he built a high reputation with charity works and Buddhist services. With support from Kim Yun-hwan, the Ssanggyesa Temple was able to hold large-scale services. Kim donated goods to the temple every year. The creation of Three Buddhas Painting and Paintings of Buddhist Guardian Deities were led by Jeongyeon, Munseong, and Manchong, who were members of the Gyeryongsan school. The three artists worked as a group from the 1980’s to the 1930’s, which may explain their shared use of Chinese pictorial and Western painting techniques. This is evidenced by the shading of clothes and clouds and the expression of shadows in the two paintings. In addition, the guardians depicted in Paintings of Buddhist Guardian Deities include Sha Wujing and Guan Yu. Their paintings in 1923 and later years show clearer marks of their individual styles, as the painters began to participate in Buddhist services with younger artists. This trend can be found in Paintings of Buddhist Guardian Deities, for which Manchong is credited as having drawn the sketch. The painting is the only painting of Buddhist guardian deities that features four iconographies of government officials from the late Joseon period. It was possible because Manchong was a monk painter who actively utilizes government official iconographies in his works. Previous studies speculated that the government official figures represent King Gojong and Heungseon Daewongun. However, this study suggests the possibility that the four iconographies represent Kim Yunhwan, a key benefactor of the Ssanggyesa Temple because, at the time, the king’s closthes and face were not allowed to be disclosed. During his years as a government official, Kim Yun-hwan was granted four different ranks. Paintings of Buddhist Guardian Deities may represent the four ranks with four different colors. These arguments are based on a number of facts: at the time of the 1923 Buddhist service, when the Ssanggyesa Temple suffered from financial distress, Kim Yun-hwan fully supported the temple; Kim committed large amounts of money to social contribution activities to help the people and Buddhist temples; and he was a man of great reputation who founded several companies, had influence in Chungcheong-do, and rose high positions within the government.