• Title/Summary/Keyword: 수학의 실용성

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The Development of STEAM Education Material Focused on Elementary Mathematics Using Architectures (건축을 활용한 초등학교 수학 중심의 융합교육 수업자료 개발)

  • Lee, Jeong-Hak;Yoon, Ma-Byong
    • The Journal of the Korea Contents Association
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    • v.14 no.6
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    • pp.499-512
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    • 2014
  • Architecture is usually seen as a product of art and technology. However, most historical buildings also exemplify various sophisticated principles of mathematics. Outstanding examples of architecture around the world such as Seokguram, Daewoongjun of Bulguksa, Muryangsujeon of Buseoksa, and the Parthenon provide students with a great opportunity to study their underlying mathematical properties and principles. The activity of identifying and investigating such mathematical principles in historical buildings enables students to realize that mathematics is a practical subject, and thus provides justification for the study and importance of mathematics. For the purpose of this study historical architecture was reviewed with this in mind in order to develop STEAM education materials focused on elementary school mathematics. The result of this study is as follows: first of all, appropriate examples of historical architecture were selected on the basis of the 2009 revised curriculum's content and teaching goals. These involved chapters on 'proportion', 'symmetry', 'movement of figures', 'building blocks', and 'triangles'. Secondly, a meta-analysis was performed on the historical buildings that clearly illustrate mathematical principles. Thirdly, STEAM education materials focused on elementary mathematics using architectural examples were developed which made actual application in classrooms possible. And lastly, surveys of professional groups were conducted to verify whether the produced materials were suitable teaching resources.

A study on anonymization cost of social network for privacy preservation (프라이버시 보호를 위한 소셜 네트워크의 익명화 비용에 관한 연구)

  • Park, Chi-Seong;Yi, Ok-Yeon;Kang, Ju-Sung
    • Proceedings of the Korea Information Processing Society Conference
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    • 2011.11a
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    • pp.903-906
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    • 2011
  • 소셜 네트워크를 통해 수집된 수많은 데이터들은 여러 분야에 중요한 자료로 활용되고 있으며, 소셜 네트워크상의 데이터들이 이용되면서 개인정보가 노출되는 프라이버시 문제가 발생하고 있다. 프라이버시 문제를 해결하기 위한 실용적인 방안으로 k-익명성, l-다양성 등의 개념과 이를 토대로 한 데이터 익명화 방법이 제안되어 있다. 데이터의 익명화에서는 원본데이터의 왜곡을 최소화하면서 프라이버시 보호를 극대화하는 것이 목적이다. 이러한 목적을 달성하기 위해 익명화 비용을 측정하기 위한 합리적인 방법이 필요하다. 본 논문에서는 소셜 네트워크 그래프의 익명화 알고리즘 수행을 위해 필수적 요소인 익명화 비용을 합리적이고 실용적으로 측정하는 방법을 제안한다.

Analysis of Degrees of Familiarity among Students Using Communication History Records (통신이력을 사용한 교우 친밀도 분석)

  • Moon Yang-Sae;Choi Hun-Young;Kim Hea-Suk;Kim Jin-Ho
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.06c
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    • pp.82-84
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    • 2006
  • 최근 청소년의 교우관계에 있어서 집단 따돌림이 사회적으로 큰 문제가 되고 있다. 본 논문에서는 학생들의 교우관계를 보다 객관적으로 분석하는 방법을 제안한다. 우선 분석을 위한 객관적인 데이터로 교우관계 정보를 묵시적으로 내포하고 있는 통신이력 데이터를 사용한다. 다음으로 교우간 친밀도(degree of faniliarity) 개념을 정형적으로 정의하고, 여러 통신도구에서 발생한 통신이력 데이터를 기반으로 교우간 친밀도를 수학적으로 계산하는 방법을 제안한다. 다음으로, 계산한 교우간 친밀도를 사용하여 집단 따돌림의 가능성이 높은 학생을 파악한다. 이는 집단 따돌림 가능성이 높은 학생은 다른 학생으로부터의 통신 시도가 적을 것이라는 직관에 기반한다. 마지막으로, 제안한 방법의 실용성을 입증하기 위하여, 실제 구현 및 분석 실험을 수행하고, 그 의미를 해석한다. 이 같은 결과를 볼 때, 본 연구는 학생들의 교우관계를 보다 객관적으로 파악할 수 있는 매우 우수한 결과라 사료된다.

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A Controller Development of Water Heating in a Ceramic Pipe Using Electronics Control System (전자제어 장치를 이용한 세라믹 파이프의 온수제어기 개발)

  • Lee, Jung-Suk
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.5
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    • pp.717-722
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    • 2011
  • This paper presents that the electronic controller is developed for controlling the setting temperature and water in the ceramic pipe system. The heating water system is designed for controlling the temperature to supply the heat through the ceramic pipe heater to input the water, also for controlling quantity of water using the water sensor and impeller. The control method of the heating water system is applied the mathematic modeling of the ceramic pipe heater on the suppling the heat at coming water, and the test result of the electronic controller is present to smartly control the setting temperature, therefore the ceramic pipe heater is proposed to be able to apply the heating structure and the control methods as a product.

A Study on the Development and Application of Cryptography Teaching Program for Vocational High School Mathematics (상업 정보 계열 고등학교 암호 교육 프로그램 개발 및 적용에 관한 연구)

  • Park, Joong-Soo;Chung, Sang-Cho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.231-245
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    • 2009
  • The purpose of this study is to develop a contents when we are going to introduce cryptography and information security for vocational high school students. For this we do a survey of the students' level for understanding of information security and the 7th curriculum for school mathematics, 2007 revised curriculum for school mathematics, the curriculum for vocational high school, and we search for the material that connects between mathematics subjects and vocational subjects. We develop a text book that introduces information security and cryptography. After we teach vocational high school students by using this developed book, we get the result that learning cryptography with computer programming makes a good motivation of learning mathematics and roles a parameter between mathematics curriculum and vocational curriculum. As a result we propose that the developed contents can be used in 'Practical Mathematics' in the 7th curriculum for school mathematics or 'Application of Mathematics' in 2007 revised curriculum for school mathematics.

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An Analysis on Statistical Graphs in Elementary Textbooks of Other Subjects to Improve Teaching Graphs in Mathematics Education (타 교과 통계 그래프 분석을 통한 초등학교 수학 수업에서의 그래프 지도 개선 방안 탐색)

  • Lee, Hyeungkeun;Kim, Dong-Won;Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.119-141
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    • 2019
  • This study was carried out in order to draw some implications for teaching statistical graph in mathematics education with respect to practical statistics education for promoting students' statistical literacy. We analyze 133 graphs appearing in 99 elementary textbooks of other subjects (subjects except from mathematics) by subjects and types, and identify some cases of graphs addressed by other subjects. As a results, statistical graph was most addressed in social studies, and bar graphs, line graphs, tables, and circle graphs are most used in other subjects. Moreover, there are some issues related to contents-(1) the problem of curricular sequencing between mathematics and other subjects, (2) the level of addressing ratio graph, and (3) the use of wavy lines. In terms of forms, (1) the visual variation of graphical representations, (2) representation combining multiple graphs, and (2) graphs specialized for particular subjects are drawn as other issues. We suggest some implications to be considered when teaching the statistical graph in elementary mathematics classes.

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Scientific Qualifications Reflected in the Exploration of Space Geometry Utilizing 4D Frame (4D 프레임을 활용한 공간도형탐구 담화에 나타난 과학적 소양)

  • Kim, Hwa-Soo
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.595-618
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    • 2010
  • To grow as talents with future oriented knowledge and creativity, students need imaginative power and creativeness, and to that end, mathematics and science subjects may help. Students need activities that help gain explorative mind for new things, concentrating ability, researching ability and creativeness, and such attributes can be improved through the activities of making various shapes utilizing space geometry in 4D-frame. Such activities not only contribute to defining ability in mathematics but also cherish the qualifications required as architects and space scientists.

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An Analysis on Classifying and Representing Data as Statistical Literacy: Focusing on Elementary Mathematics Curriculum for 1st and 2nd Grades (통계적 소양으로서 자료의 분류 및 표현 활동의 의의 분석: 초등학교 1~2학년군 수학과 교육과정을 중심으로)

  • Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.221-240
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    • 2018
  • In this study, we focus on the classifying and representing data in the elementary mathematics curriculum for 1st and 2nd grades which have been rarely addressed in the previous studies. We analyze the significance of classifying and representing sata in terms of statistical problem solving and variability as the core of statistical literacy. As a result, the classifying and representing data are important for students to recognize the variability which is ubiquitous in the data and to construct distribution of data, respectively. They are reflected in the 2015 revised mathematics curriculum as the statistical literacy for addressing data. We suggest some implications to teach the classifying and representing data as the practice of statistical literacy education in their statistics classes for 1st and 2nd grades.

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A Study of Robust Vibration Control for a Multi-Layer Structure (다층상구조물의 강인 진동제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Jung, Hae-Jong
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.8
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    • pp.1212-1219
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    • 2009
  • In this paper, a state feedback gain controller using linear matrix inequality(LMI) for the multi-objective synthesis is designed, in the multi-layer structure with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.

A Case Study on Students' Mathematical Concepts of Algebra, Connections and Attitudes toward Mathematics in a CAS Environment (CAS 그래핑 계산기를 활용한 수학 수업에 관한 사례 연구)

  • Park, Hui-Jeong;Kim, Kyung-Mi;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.403-430
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    • 2011
  • The purpose of the study was to investigate how the use of graphing calculators influence on forming students' mathematical concept of algebra, students' mathematical connection, and attitude toward mathematics. First, graphing calculators give instant feedback to students as they make students compare their written answers with the results, which helps students learn equations and linear inequalities for themselves. In respect of quadratic inequalities they help students to correct wrong concepts and understand fundamental concepts, and with regard to functions students can draw graphs more easily using graphing calculators, which means that the difficulty of drawing graphs can not be hindrance to student's learning functions. Moreover students could understand functions intuitively by using graphing calculators and explored math problems volunteerly. As a result, students were able to perceive faster the concepts of functions that they considered difficult and remain the concepts in their mind for a long time. Second, most of students could not think of connection among equations, equalities and functions. However, they could understand the connection among equations, equalities and functions more easily. Additionally students could focus on changing the real life into the algebraic expression by modeling without the fear of calculating, which made students relieve the burden of calculating and realize the usefulness of mathematics through the experience of solving the real-life problems. Third, we identified the change of six students' attitude through preliminary and an ex post facto attitude test. Five of six students came to have positive attitude toward mathematics, but only one student came to have negative attitude. However, all of the students showed positive attitude toward using graphing calculators in math class. That's because they could have more interest in mathematics by the strengthened and visualization of graphing calculators which helped them understand difficult algebraic concepts, which gave them a sense of achievement. Also, students could relieve the burden of calculating and have confidence. In a conclusion, using graphing calculators in algebra and function class has many advantages : formulating mathematics concepts, mathematical connection, and enhancing positive attitude toward mathematics. Therefore we need more research of the effect of using calculators, practical classroom materials, instruction models and assessment tools for graphing calculators. Lastly We need to make the classroom environment more adequate for using graphing calculators in math classes.