• Communications of Mathematical Education
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• v.34 no.1
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• pp.1-15
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• 2020

Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

• Communications of Mathematical Education
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• v.29 no.4
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• pp.573-588
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• 2015

In this paper, we introduce development process and application of a simple and effective model of a statistics laboratory using open source software R, one of leading language and environment for statistical computing and graphics. This model consists of HTML files, including Sage cells, video lectures and enough internet resources. Users do not have to install statistical softwares to run their code. Clicking 'evaluate' button in the web page displays the result that is calculated through cloud-computing environment. Hence, with any type of mobile equipment and internet, learners can freely practice statistical concepts and theorems via various examples with sample R (or Sage) codes which were given, while instructors can easily design and modify it for his/her lectures, only gathering many existing resources and editing HTML file. This will be a resonable model of laboratory for studying statistics. This model with bunch of provided materials will reduce the time and effort needed for R-beginners to be acquainted with and understand R language and also stimulate beginners' interest in statistics. We introduce this interactive statistical laboratory as an useful model for beginners to learn basic statistical concepts and R.

• Education of Primary School Mathematics
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• v.10 no.1 s.19
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• pp.57-70
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• 2007

This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

• Hwankyungkyoyuk
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• v.6 no.1
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• pp.199-209
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• 1994

To investigate the trends in environmental education research of foreign countries, the paper published in the Journal of Environmental Education from 1984 to 1992 were analyzed. Major results of this study are as follows: 1. Total number of the paper analyzed was 178 and the average numbers of paper published per year were similar. 2. Researchers' majors were various. 3. The major targets of the researches in environmental education were school students. 4. Questionnaire was used in many researches and the main area of researches was strategy for environmental education. 5. Major type of research was survey and the main area of researches was strategy for environmental education. 6. The affective domain was highly concerned in environmental education researches.

• Journal of Science and Technology Studies
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• v.17 no.1
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• pp.71-115
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• 2017

In 1953, theoretical physicist George Gamow attempted to explain the process of protein synthesis by hypothesizing that the base sequence of DNA encodes a protein's amino acid sequence and, in response, proposed the nucleic acid-protein information transfer model, which he dubbed the "diamond code." After expressing interest in discussing the daring hypothesis, contemporary biologists, including James Watson, Francis Crick, Sydney Brenner, and Gunther Stent, were soon invited to join the RNA Tie Club, an informal research group that would also count biologists and various researchers in physics, mathematics, and computer engineering among its members. In examining the club's formation, growth, and decline in multidisciplinary research on deciphering the genetic code in the 1950s, this paper first investigates whether Gamow's idiosyncratic approach could be adopted as a collaborative research forum among contemporary biologists. Second, it explores how the RNA Tie Club's research agenda could have been expanded to other relevant research topics needing multidisciplinary approach? Third, it asks why and how the RNA Tie Club dissolved in the late 1950s. In answering those questions, this paper shows that analyses on the intersymbol correlation of the overlapping code functioned to integrate diverse approaches, including sequence decoding and statistical analysis, in research on the genetic code. As those analyses reveal, the peculiar approaches of the RNA Tie Club could be regarded as a useful method for biological research. The paper also concludes that the RNA Tie Club dissolved in the late 1950s due to the disappearance of the collaborative research agenda when the overlapping code hypothesis was abandoned.

• Journal of Korean Academy of Nursing
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• v.16 no.1
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• pp.89-104
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• 1986

복잡한 사회문제해결에 유용한 접근방법의 하나인 계층분석과정은 수학자인 사티(Saaty)가 개발한 것으로서 이미 사회과학의 여러 분야에 적용되고 있다. 본 논문의 목적은 이 계층분석과정을 간호교육과 관련된 문제에 적용해 봄으로써 이 방법이 실제 문제해결을 위한 유용한 접근방법이 될 수 있는가를 고찰해 보는데 있다. .현대사회문제들은 다양한 관련요소, 그 요소들간이나 다른 문제들과의 복잡한 상호관계, 다수의 의사결정자의 참여, 무한한 대안, 문제의 결과에 대한 불확실성 등으로 인하여 단순한 모델이나 간단한 논리적 혹은 직관적인 판단에 준하여 일시에 해결하기 어려운 경우가 많다. 이러한 상황 하에서 문제와 관련된 요소들을 찾아내고 그 요소들을 계층적으로 분석하여 단계적으로 문제해결에 접근하는 계층분석과정을 활용함으로써 사회과학분야의 문제해결에 유용한 수단이 될 수 있다. 또한 문제와 관련된 요소를 규명하고 계층적으로 분화하는 과정에서 그 문제에 대한 보다 명확한 이해, 분석 및 현상의 흐름을 더 잘 인해하게 된다. 계층분석과정은 1) 계층구조의 설정 2) 구성요소들의 중요도 측정 3) 중요도에 따른 우선 순위의 산정 4) 우선 순위의 일관성 검토과정으로 요약된다. 본 논문에서는 이러한 과정을 통하여 미국 간호계에서 심각한 문제로 대두되어온 기본교육제도상의 쟁점(Issue of Entry into Practice）에 대한 문제 해결책이 마련되는지를 시도하였다. 즉, 기본교육 제도에 영향을 미칠 수 있는 요인들을 규명하여 계층화하고 계층내에 위치하는 구성요소들의 수평적 관계와 계층간의 수직적 관계를 체계적으로 검토하여 간호교육의 미래를 예측해 보았다. 간호교육제도에 영향을 미칠 수 있는 주요 요인들의 계층화는 거시적 환경차원(factors), 관련 이해자 집단차원(actors), 이해자 집단의 목표차원(objectives), 목표달성을 위한 정책차원(Policies), 그리고 간호교육제도의 미래를 예견한 시나리오(scenario)로 이루어졌다. 각 계층을 따라 단계적으로 중요도를 비교하여 최종적으로 각 시나리오의 우선순위 중요도(priority weight)를 구하였다. 각 시나리오의 우선순위 중요도를 간호교육과 관련된 4가지 차원들(학생, 교수, 교육기관, 직업)을 구성하고 있는 특성들에 가중하여 결과를 해석 하였다. 간호교육의 미래에 정치적(55%)과 경제적(25%) 요인이 가장 강한 영향을 미치고, 관련자중에서는 병원(38%) 의사(33%) 그리고 정부(23%)의 순으로 영향을 미친다고 분석되었다. 의외로 간호원 자신들은 큰 영향력이 없는 것으로 보여졌다. 4개의 시나리오 중에서는 그 우선순위 중요도가 현상유지(33%) 자발적4년제(32%), 강제 4년제(19%), 그리고 2~3년제의 우위(18%) 순으로 나타났다. 최종 시나리오 결과를 요약하면 1) 전체 학생수는 감소하나 양질의 간호학생수는 증가하며 2) 박사학위를 소지한 간호학 교수 및 전체 교수의 수가 증가할 것이다. 3) 전체 간호교육기여의 수는 약간 줄 것이며 그중 4년제 기관이 증가하고 반면에 2~3년제의 기관은 감소할 것이다. 4) 전문간호원이 되기 위한 입학용이도에는 별차이가 없겠으나 간호원들의 보수, 지위 및 자율성이 증가하면서 전반적인 간호의 질이 향상될 것이다. 계층분석과정의 적용으로 미국 간호교육계의 가까운 미래를 위와 같이 예견하여 보았으나 이 과정은 예견 뿐 만 아니라 일반적인 의사결정이나 문제 해결의 도구이외에도 복잡한 사회문제의 본질을 분석, 이해함으로써 보다 정화한 정책문제를 규정하는 데에도 유용할 것이다.

• The Journal of Art Theory & Practice
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• no.7
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• pp.165-188
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• 2009

In the development of linear perspective, Brook Taylor's theory has achieved a special position. With his method described in Linear Perspective(1715) and New Principles of Linear Perspective(1719), the subject of linear perspective became a generalized and abstract theory rather than a practical method for painters. He is known to be the first who used the term 'vanishing point'. Although a similar concept has been used form the early stage of Renaissance linear perspective, he developed a new method of British perspective technique of measure points based on the concept of 'vanishing points'. In the 15th and 16th century linear perspective, pictorial space is considered as independent space detached from the outer world. Albertian method of linear perspective is to construct a pavement on the picture in accordance with the centric point where the centric ray of the visual pyramid strikes the picture plane. Comparison to this traditional method, Taylor established the concent of a vanishing point (and a vanishing line), namely, the point (and the line) where a line (and a plane) through the eye point parallel to the considered line (and the plane) meets the picture plane. In the traditional situation like in Albertian method, the picture plane was assumed to be vertical and the center of the picture usually corresponded with the vanishing point. On the other hand, Taylor emphasized the role of vanishing points, and as a result, his method entered the domain of projective geometry rather than Euclidean geometry. For Taylor's theory was highly abstract and difficult to apply for the practitioners, there appeared many perspective treatises based on his theory in England since 1740s. Joshua Kirby's Dr. Brook Taylor's Method of Perspective Made Easy, Both in Theory and Practice(1754) was one of the most popular treatises among these posterior writings. As a well-known painter of the 18th century English society and perspective professor of the St. Martin's Lane Academy, Kirby tried to bridge the gap between the practice of the artists and the mathematical theory of Taylor. Trying to ease the common readers into Taylor's method, Kirby somehow abbreviated and even omitted several crucial parts of Taylor's ideas, especially concerning to the inverse problems of perspective projection. Taylor's theory and Kirby's handbook reveal us that the development of linear perspective in European society entered a transitional phase in the 18th century. In the European tradition, linear perspective means a representational system to indicated the three-dimensional nature of space and the image of objects on the two-dimensional surface, using the central projection method. However, Taylor and following scholars converted linear perspective as a complete mathematical and abstract theory. Such a development was also due to concern and interest of contemporary artists toward new visions of infinite space and kaleidoscopic phenomena of visual perception.

• Journal of Gifted/Talented Education
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• v.25 no.3
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• pp.363-380
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• 2015

The convergent education such as STEAM education has been implemented in the gifted education institutions in order to resolve the crisis of science and engineering fields caused by the science and engineering avoidance of excellent talents. The purpose of this study was to investigate awareness about science, mathematics and technology/ engineering fields of science gifted students. The subjects were 86 middle school science gifted students at the Science Institute for Gifted Students of a university located in metropolitan city in Korea. The data were collected from the survey that consists of 97 questions in 3 categories. The results were follows: First, the gifted students were aware that science was more interesting than mathematics or technology/engineering. Second, science rated highest in career choice. Third, they were aware that the scientists were more interesting, more imagination, less accuracy and less considering than the mathematicians and the engineers. In addition they responded that the mathematicians were smarter than the scientists and the engineers, and the engineers were more diligent than the scientists and the mathematicians. Finally, the result of the correlational analysis indicated that there were strong correlations between science and mathematics, and between science and technology/engineering. It was recommended that the consolidation of the convergent gifted education, the necessity of systemic career education, and the study of correlation between mathematics and technology/engineering.

• Journal of Gifted/Talented Education
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• v.23 no.6
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• pp.1019-1034
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• 2013

The purpose of this study is to investigate the characteristics of convergence gifted students through the their perception of the differences about scientists between Science class and Convergence class in gifted science education center. Consequently, this article reports that there are differences in the perception about scientists was distinction between applicants of Convergence and Science class. Science class applicants mainly recognized scientists as pure scientists, but Convergence class applicants recognized scientist were including mathematician, artist, architect, etc. Also Convergence class applicants thought that affective domain including 'effort', 'patience', 'interest' was more important that Science class applicants. On the other hand, when they described the scientists, Science class applicants knew their achievements as scientists more specifically than Convergence class. And to conclude, the characteristics were different between Convergence and Science class applicants in gifted science education center. Based on the result of this study, this paper suggests the following: Firstly, conceptual study is urgent about convergence gifted students in their definition and characteristics. Secondly, information regarding the criteria to select student for convergence class in gifted science education center. Finally, when teaching convergence gifted students, attention should be paid to their characteristics such affective domain.

• Journal of Science Education
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• v.43 no.1
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• pp.17-42
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• 2019

This study, as an attempt to integrate mathematics and information for convergence education, was conducted to develop teaching-learning materials on mathematics education combined with coding education, which has recently been emphasized. We chose the subject of digital signature for coding education, and used SageMath as a coding program. In this study, we overview mathematics used in the elliptic curve digital signature algorithm, one of the many methods for digital signature, and developed the teaching-learning materials on the algorithm for mathematics education integrated with information education based on coding. The elliptic curve digital signature algorithm utilized in transactions of Bitcoin, which many people recently are interested in, is a good example, showing students that mathematics is applied to problem-solving in the real world and provides an optimal environment for implementation by coding. Accordingly, we expect that a class on algorithm will provide a specific teaching-learning program to achieve the goal of integrated mathematics education. By comprehensively considering the opinions of mathematicians, mathematics teachers and mathematics education experts, we expect that the teaching-learning program will be realized as a meaningful class in science high schools, high school's math clubs, and 'number theory' class in colleges.