• 제목/요약/키워드: understanding the concept of complex number

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교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석 (Complex number on textbooks and Analysis on understanding state of students)

  • 박선호;표성수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권1호
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

교사의 무한개념 이해도 조사 연구 (A Research on Teacher's Understanding of Infinity)

  • 박임숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제39권1호
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    • pp.37-47
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    • 2000
  • Number concept is basic in mathematics education. But it is very complex and is not easy to understand real number concept, because of its infinity. This study tried to show that what percents of secondary school mathematics teachers in Korea understood the properties of real number, such as cardinality, continuity, relation with real line, and infinity, which were written by verbal language.

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프로세스 대수에서 이동성과 상호작용을 분석하기 위한 행위 온톨로지를 이용한 추상화 방법 (Abstraction Method for Analysis of Mobility and Interaction in Process Algebra Using Behavioral Ontology)

  • 우수정;온진호;이문근
    • 한국콘텐츠학회논문지
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    • 제11권9호
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    • pp.63-75
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    • 2011
  • 분산 이동 실시간 시스템을 개발하기 위해 pi-Calculus, Mobile Ambients Calculus, Bigraph 등의 수많은 프로세스 대수가 존재한다. 하지만 시스템이 방대해지고 복잡해질수록 시스템을 구성하는 프로세스들의 통신과 이동 역시 방대해지고 복잡해지므로 프로세스 대수로 이를 이해하는데 어려움이 존재한다. 그러므로 방대하고 복잡한 시스템을 체계적으로 이해할 수 있는 방법이 필요하다. 본 논문에서는 방대하고 복잡한 시스템을 프로세스들의 통신과 이동의 순서화된 추상화 방법 즉, 계층적으로 구조화된 격자(Lattice)들의 형태인 프리즘(Prism)으로 다룬다. 이는 액티브 온톨로지(Active Ontology)에서 확장된 새로운 개념인 행위 온톨로지(Behavior Ontology)를 기반으로 한다. 프리즘은 시스템을 체계적으로 이해하기 위해 시스템을 계층적으로 구성된 행위적 속성을 지닌 격자들 관점에서 분석하는 것을 허용한다. 이러한 방법은 통신과 이동의 복잡함을 의미적이고 계층적으로 구성된 행위의 구조로 체계적으로 이해할 수 있게 한다.

토양생태계 건강성 평가기법 비교연구: 토양건강성 평가항목을 중심으로 (A Comparative study of Assessment Techniques for Soil Ecosystem Health: Focusing on Assessment Factors of Soil Health)

  • 채유은;김신웅;곽진일;윤영대;정승우;안윤주
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제20권3호
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    • pp.15-24
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    • 2015
  • The soil ecosystem is a complex system performing particularly complicated and varied functions, such as providing a habitat for organisms, acting as a medium for plant cultivation and growth, and functioning as a buffer against external materials in the environment. To assess whether these important functions of the soil ecosystem are executed appropriately, the concept of soil ecosystem health has been introduced, which is defined as the ability to perform the specific functions of the soil ecosystem. Understanding soil properties and soil indicators related to soil functions is essential to assess the soil health. In this study, systems, the indicators, and evaluation factors for assessing soil ecosystem health employed in a number of countries were investigated and discussed. In particular, it is necessary to introduce a technique for the evaluation of soil ecosystem health in Korea and to develop techniques and indicators appropriate to the soil ecosystem and status in Korea.

지식생태계의 조직화: 플랫폼 리더의 조직역량이 지식창출을 위한 기업간 협력의 확장에 미치는 영향 (Organizing knowledge ecosystems: The influence of organizational capabilities of platform leaders on multi-firm collaborations for knowledge creation)

  • 정동일;박상찬;김보경
    • 지식경영연구
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    • 제16권2호
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    • pp.1-27
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    • 2015
  • This paper presents a knowledge-based view of platform-centered collaborations among multiple organizations. Studies of technological innovation and knowledge creation have broadened beyond their initial emphasis on internal development within an organization or simple exchange of ideas between two parties toward complex collaboration among many organizations at the level of platform-based knowledge ecosystems. Platforms serve as an interface between different groups of producers and consumers in a variety of multi-sided knowledge markets such as smartphone operating systems and video games industries. This study is an exploratory examination to offer theoretical understanding of how the organizational capabilities of platform leaders help expand a network of platform participants. The growth of platform participants is particularly important in the early stage of any platforms as the concept of network effects suggests that the platform with the largest number of participants will capture entire markets. Building upon organization studies and network economics theory on multisided markets, this paper focuses on the role of platform leaders in expanding platform-based collaboration. In our view, platform leaders develop varying levels of three organizational capabilities to discern quality of potential participants, to attract them to actually participate in collaboration, and to maintain long-term exchange relations in the ecosystem. We suggest that the capabilities of platform leaders will have a positive effect on the expansion of platform participants to secure network effects, and also examine several contextual factors that moderate the relationship between a platform leader's capacity and platform expansion.