• Title/Summary/Keyword: Mathematical Principles

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An Analysis of Difficulties of Teachers and Students in Class on Weight (무게 단원 수업에서 겪는 교사와 학생의 어려움 분석)

  • Park, Joonhyeong;Jhun, Youngseok
    • Journal of The Korean Association For Science Education
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    • v.34 no.3
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    • pp.295-301
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    • 2014
  • The purpose of this study is to investigate the difficulties of teachers and students on the unit about 'measuring weight.' In this research, we have acquired data about teachers through survey, interview, and self-reflection journals, at the same time we have collected information on the students through survey, assessment test, and interview. We have extracted the difficulties from analysis with constant comparison method. In addition, we have analysed the curriculum of science and mathematics to know the leaning sequence. The analysis had been checked up by experts in science education. The result of the study is as follows: The difficulties of teachers are from the lack of teachers' descriptive knowledge, disorder of conceptual hierarchy in the curriculum, poor experimental instruments, and low psychomotor skill of students. The difficulties of students are from common misconceptions, opaque concepts, lack of manipulation skill, insufficiency of mathematical ability, difficulty of application of principles to the real situation, and lack of problem-solving ability. In addition, teachers have recognized that students face more difficulties in experiment class, while students think that they face more difficulties in conceptual understanding class.

An Action Research on Instruction of Division of Fractions and Division of Decimal Numbers : Focused on Mathematical Connections (수학의 내적 연결성을 강조한 5학년 분수 나눗셈과 소수 나눗셈 수업의 실행 연구)

  • Kim, Jeong Won
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.351-373
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    • 2017
  • The meanings of division don't change and rather are connected from whole numbers to rational numbers. In this respect, connecting division of natural numbers, division of fractions, and division of decimal numbers could help for students to study division in meaningful ways. Against this background, the units of division of fractions and division of decimal numbers in fifth grade were redesigned in a way for students to connect meanings of division and procedures of division. The results showed that most students were able to understand the division meanings and build correct expressions. In addition, the students were able to make appropriate division situations when given only division expressions. On the other hand, some students had difficulties in understanding division situations with fractions or decimal numbers and tended to use specific procedures without applying diverse principles. This study is expected to suggest implications for how to connect division throughout mathematics in elementary school.

A theoretical Study on the Motive of Movement in Animation (애니메이션의 Movement 동인(動因)에 대한 이론적 고찰)

  • Lee Sang-Won
    • Journal of Science of Art and Design
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    • v.3
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    • pp.62-86
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    • 2001
  • This study is based on theoretical background about movements of visual communication highlighted in digital age. Such movements are variously expressed in animation with the advancement of media, and their expression has great effect on visual art. Artists' concern and endeavor about movement expression techniques have been continued by impressionism, expressionism, futurism, cubism closely related with the birth of movie from late 19th century to early 20th century. At that time, stationary 2D space in plane screen couldn't express movement or time directly. Later, artists and designers have attempted to approach illusions in pictures or 4 dimension and movements by 2D or 3D computer graphics. The visual image in present digital age is to see, to hear, to feel by timing, so it is necessary for the most efficient way of message communication. And then, it is the time to start new, scientific, and creative study about production techniques of animation and expression of movements, since domestic animation productions are rapidly changed from cell to digital. The aim of this study is to clarify the motive of movement by theoretical inquiry of animation. Various aspects of animation as synthetic art have been examined by mathematical, scientific, and philosophical viewpoint. The results will be useful to the expression of motions for maximization of emotional effect in animation production or basic data of virtual simulation about certain situation. Therefore, such study should be managed as multidisciplinary research in the rapidly changing visual culture paradigm. namely, animation includes much more imaginative & creative power than simple function or techniques, so it has to be recognized as special synthetic art(visual art) constructing an area, the formative art with philosophical viewpoint and scientific principles.

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A Study on the Characteristics of Organic Design of Alvar Aalto (알바 알토(Alvar Aalto)의 유기적 디자인 특성에 관한 연구)

  • 이종선
    • Korean Institute of Interior Design Journal
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    • no.12
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    • pp.91-99
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    • 1997
  • Alvar Aalto has pursued National Romanticism, cultural art movement in scandinavian peninsula, organic concepts of growth and suitability, comprehensive view of nature including a possibility of coexistance of human-being and the nature well harmonized. For instance, his design expressed local features of the nature, human emotions instead of geometical arts and mathematical principles. It is noteworthy today that he built up the identity with satrical architecture vocabularies, different from modern arch-itechtural idiology. The characte-ristics of his design related to interior architecture are collectively as follows; The first, Space discontinuity of the interior and exterior, gradual process by joints which are inclined to collage with many shapes in plan and section of the space and such joints are adjusted by sensual ways and stressed with inner collectivity in his works. The second, He pursued the architectural orderfor modern irreqularity, various changes and sensual harmonies. As result, free curved line, fan shape and irregular modeling were individually expressed by technics of natural features and national characteristics of Finland. The third, Organic synthesis. A harmony through med-ums in its space, materials and space effectiveness relations are made and expressed for mixed design especially harmonized of all the materials he planned, entire harmony with total design, itemized details, materials and furnitures in entire space. The fourth, The interest of the nature based on his sense harmonized with nature made him mainly use native materials, lumbers and red bricks masonry and showed and arranged various interior sky light and grazed in to let natural light in, harmony with garden to sensually cohere to the nature and courtyard, etcetera. His major subject are to direct architectural developments through the nature and human-being in his works. At this point, it is considered that his direction of the locality and independence as a human-being made the concepts of organic space structure possible.

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Yak-yong Jung's [Ki-ye-lon](the Theory of Techne) and new Directions of Technology Education (정약용(丁若鏞)의 [기예론(技藝論)]과 공학교육(工學敎育)의 새로운 방향(方向))

  • Rho Tae-Cheon
    • Journal of Engineering Education Research
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    • v.1 no.1
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    • pp.80-85
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    • 1998
  • Yak-yong Jung discussed technology for the first time in Korea, 195 years ago, in his [Ki-ye-lon](the Theory of Techne: 1802) in which he investigated the essence and the developmental aspect of technology and the ways to promote technology. As a man of the 19th century when the West was being transformed into an industrial society by the Industrial Revolution, Jung suggested various ways to reform his nation an agricultural society. Although they were not accepted by the Dynasty, consideration of the social and economic situation and the world history at that time shows that they were very innovative. This study aims at defining Jung's view of technology, centering around [Ki-ye-lon](the Theory of Techne), and discusses what the technological education should emphasize in the future, that is to say: mathematical and scientific principles, the utility of technology, its developmental aspect, technological policy.

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A Dynamic Inferential Framework for Learning Geometry Problem Solving (기하 문제 학습을 위한 동적 추론 체계)

  • Kook, Hyung-Joon
    • Journal of KIISE:Software and Applications
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    • v.27 no.4
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    • pp.412-421
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    • 2000
  • In spite that the main contents of mathematical and scientific learning are understanding principles and their applications, most of existing educational softwares are based on rote learning, thus resulting in limited educational effects. In the artificial intelligence research, some progress has been made in developing automatic tutors based on proving and simulation, by adapting the techniques of knowledge representation, search and inference to the design of tutors. However, these tutors still fall short of being practical and the turor, even a prototype model, for learning problem solving is yet to come out. The geometry problem-solving tutor proposed by this research involves dynamic inference performed in parallel with learning. As an ontology for composing the problem space within a real-time setting, we have employed the notions of propositions, hypotheses and operators. Then we investigated the mechanism of interactive learning of problem solving in which the main target of inference involves the generation and the test of these components. Major accomplishment from this research is a practical model of a problem tutor embedded with a series of inference techniques for algebraic manipulation, which is indispensable in geometry problem solving but overlooked by previous research. The proposed model is expected to be applicable to the design of problem tutors in other scientific areas such as physics and electric circuitry.

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Strategy for Insecticide Resistance Management Approach to IPM

  • Motoyama, Naoki;Dauterman, W.C.
    • Korean journal of applied entomology
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    • v.31 no.3
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    • pp.314-327
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    • 1992
  • Insecticide resistance is a serious is a serious threat to IPM, resulting in various adverse effects not to mention the loss of yield in agriculture. One approach to counter the problem is the disruption of resistance mechanisms. This can be achieved by (1) compounds which show a negative correlation with resistance at the site of action, (2) specific metabolic inhibitors which serve as synergists, or (3) a certain combination of two insecticides producing a joint action. This approach, however, requires certain precautions for the side effects may cause an increase in toxicity to mammals. Owing to the recent advances in theoretical studies on resistance management employing computer simulation and mathematical models, a few principles to reduce the risk of development of resistance have been clarified. They are helpful in designing operational strategies with regard to, for instance, insecticide doses to be applied, mode of application, and choice and nature of the insecticide(s) to be used. For restoration of insecticide susceptibility of a resistant population, reintroduction of susceptible individuals to the resistant population is feasible when certain conditions are met. Natural enemies which developed resistance to insecticides can be an important component of IPM as has been shown in the pest management in apple orchards. After all, the implementation of a successful resistance management program depends upon cooperation between different sigments of the agricutural community. Although resistance is a preadaptive phenomenon, in some cases spontaneous loss of resistance does occur without contamination by susceptible individuals. The instability of resistance in these insects implies the possible existence of a switch machanism controlling the expression of resistance gene(s). Elucidation of such a mechanism may eventually provide us with a new technical approach with which we can combat the problem of insecticide resistance.

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Difficulties and Alternative Ways to learn Irrational Number Concept in terms of Notation (표기 관점에서 무리수 개념 학습의 어려움과 대안)

  • Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.19 no.1
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    • pp.63-82
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    • 2016
  • Mathematical notation is the main means to realize the power of mathematics. Under this perspective, this study analyzed the difficulties of learning an irrational number concept in terms of notation. I tried to find ways to overcome the difficulties arising from the notation. There are two primary ideas in the notation of irrational number using root. The first is that an irrational number should be represented by letter because it can not be expressed by decimal or fraction. The second is that $\sqrt{2}$ is a notation added the number in order to highlight the features that it can be 2 when it is squared. However it is difficult for learner to notice the reasons for using the root because the textbook does not provide the opportunity to discover. Furthermore, the reduction of the transparency for the letter in the development of history is more difficult to access from the conceptual aspects. Thus 'epistemological obstacles resulting from the double context' and 'epistemological obstacles originated by strengthening the transparency of the number' is expected. To overcome such epistemological obstacles, it is necessary to premise 'providing opportunities for development of notation' and 'an experience using the notation enhanced the transparency of the letter that the existing'. Based on these principles, this study proposed a plan consisting of six steps.

A study on the analysis of elementary mathematics textbook's illustrations - Focusing on the second grade - (초등수학 교과서 삽화 분석 연구 -2학년 교과서를 중심으로-)

  • Kang, Shin-Po;Kim, Sung-Joon;Lim, Eun-Hee
    • Journal of the Korean School Mathematics Society
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    • v.8 no.2
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    • pp.183-201
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    • 2005
  • Illustrations and letters are two components of school textbooks. In the case of low grades of elementary school, textbook's illustrations play an important role in learning because many parts of curriculums(lessons) are represented by the visual forms through illustrations. So elementary mathematics textbook's illustrations have to make clear mathematical concepts and principles by visual simplification and bring out of the interest and motivation of elementary school students' learning. In this paper, we analysed the external and content aspects of textbook's illustrations, focusing on the textbook of the second grade. We investigated number, kindness, size, ratio, and clearness of illustrations in regard to external aspects. On the aspects of content, we analysed the role of illustrations and the degree of agreement with contents. Also we classified types of error in the textbook's illustrations and presented examples of errors which was found.

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The Didactical Organization of Mathematical Function in Korean Mathematics Textbooks: From the Perspective of Yungbokhap Education (2009년 개정 교육과정에 따른 중학교 1학년 수학교과서의 함수 단원 학습과제 분석: 융복합목표.방식.맥락에서의 접근)

  • Park, Mora;Ju, Mi-Kyung;Moon, Jong-Eun
    • School Mathematics
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    • v.16 no.1
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    • pp.135-155
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    • 2014
  • In this paper, we adapted the frame by Lee et al (2013) to investigate to what extent the Korean mathematics textbooks for the 7th graders adapt the principles of Yungbokhap education. The analysis suggests that the textbooks mostly adapt the competence to use language, symbols and texts interactively, and to use knowledge and information interactively. Among the competencies for interacting in heterogeneous groups, the textbooks included the competences to related well to others and to cooperatively work in teams. The competence for acting autonomously was least adapted in the textbooks. The most tasks in the textbooks adapted the monodisciplinary integration and the personal contexts for integration. The results of this research show that Korean mathematics textbooks are limited in implementing the principal dimensions of Yungbokhap education. In the future development of mathematics textbooks, it is necessary to consider how to further reflect the various dimensions of Yungbokhap education to promote students' creativity and autonomy in mathematics class.

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