• Title/Summary/Keyword: 예 공간

Search Result 7, Processing Time 0.09 seconds

An Analysis of Example Spaces Constructed by Students in Learning the Area of a Trapezoid based on Dienes' Theory of Learning Mathematics (Dienes의 수학학습이론에 따른 사다리꼴의 넓이 학습에서 학생들이 구성한 예 공간 분석)

  • Oh, Min Young;Kim, Nam Gyun
    • Education of Primary School Mathematics
    • /
    • v.24 no.4
    • /
    • pp.247-264
    • /
    • 2021
  • The area of a trapezoid is an important concept to develop mathematical thinking and competency, but many students tend to understand the formula for the area of a trapezoid instrumentally. A clue to solving these problems could be found in Dienes' theory of learning mathematics and Watson and Mason' concept of example spaces. The purpose of this study is to obtain implications for the teaching and learning of the area of the trapezoid. This study analyzed the example spaces constructed by students in learning the area of a trapezoid based on Dienes' theory of learning mathematics. As a result of the analysis, the example spaces for each stage of math learning constructed by the students were a trapezoidal variation example spaces in the play stage, a common representation example spaces in the comparison-representation stage, and a trapezoidal area formula example spaces in the symbolization-formalization stage. The type, generation, extent, and relevance of examples constituting example spaces were analyzed, and the structure of the example spaces was presented as a map. This study also analyzed general examples, special examples, conventional examples of example spaces, and discussed how to utilize examples and example spaces in teaching and learning the area of a trapezoid. Through this study, it was found that it is appropriate to apply Dienes' theory of learning mathematics to learning the are of a trapezoid, and this study can be a model for learning the area of the trapezoid.

An Analysis on the Example Spaces of the Concepts of Triangles in the Korean Elementary Mathematics Textbooks (초등 수학교과서의 삼각형의 개념에 대한 예 공간의 분석)

  • Park, Man-Goo
    • Journal of the Korean School Mathematics Society
    • /
    • v.13 no.1
    • /
    • pp.143-161
    • /
    • 2010
  • The purpose of this paper was to analyze the example spaces related with the concepts of triangles in the 2nd grade Korean elementary mathematics textbooks, investigate the meaning of example spaces, and suggest the implications to teaching and learning geometrical concepts in the elementary schools. Mathematics textbooks are usually major materials in teaching and learning mathematics in Korea, and the content of the textbooks affects the quality of teaching and learning in the classroom. The results of the study showed that the Korean elementary textbooks provided examples with limited example spaces concerning the concepts of triangles. The researcher suggested that we should provide rich examples spaces, encourage learner-generated example spaces, and strengthen the connections of examples between in textbooks and in the classroom.

  • PDF

GeoVideo : Video Geographic Information System (지오 비디오 : 비디오 지리정보시스템)

  • 김경호;김성수;이성호;이종훈
    • Proceedings of the Korean Information Science Society Conference
    • /
    • /
    • pp.623-625
    • /
    • 2003
  • 공간정보와 멀티미디어가 긴밀히 결합된 새로운 형태의 지리정보 환경이 미디어 지리정보시스템(MediaGIS)이다. 비디오 지리정보시스템(VideoGIS)은 미디어 지리정보시스템의 한 예로서 공간정보와 비디오와의 결합과 상호작용에 중점을 두고 있다. 본 논문에서 제시한 지오 비디오(GeoVideo)는 비디오를 기반으로 공간정보의 조회, 검색, 분석 등이 가능한 최초의 비디오 지리정보시스템이다. 지오 비디오는 기존의 인위적이고 함축적이고 그래픽적인 패러다임에서 자연적이고 사실적이고 이미지적인 패러다임으로의 변화의 의미를 지닌다. 본 논문에서는 비디오와 공간정보의 결합에 대해 자세히 논의하고 시스템 구성 방법에 있어서의 고려사항 등에 관해서 논의하기로 한다.

  • PDF

Electromagnectic Modal Analysis for the Multiscreen Structure with Periodic Slot Array Including Conductor Thickness Effect (유한한 두께를 갖는 평판 상의 주기적 슬롯이 배열된 다중스크린 구조의 전자파 모드 해석)

  • 고지환;조영기
    • Journal of the Institute of Electronics Engineers of Korea TC
    • /
    • v.40 no.11
    • /
    • pp.1-9
    • /
    • 2003
  • The electromagnectic modal analysis method for the multiscreen structure with periodic slot array with including conductor thickness effect is presented. The multiscreen structure is seen to be exactly equivalent to a microwave guide closed by phase-shift walls. From this viewpoint, the entire generalized scattering matrix of the multiscreen structure is calculated by the cascade connection of the scattering matrices obtained by the modal analysis at guide junctions and the transmission matrices of guide region. The present method is verified in comparison with the results calculated by the previous method of moment for single screen structure. As an application example of the present method, the spatial filter having multiscreen structure is designed and the interesting characteristics such as transmission and reflection coefficient versus frequency & angle are investigated.

A Study on the Manifestation of Tacit Knowledge through Exemplification (예 구성 활동을 통한 암묵적 지식의 현시에 관한 연구)

  • Lee, Keun-Bum;Lee, Kyeong-Hwa
    • School Mathematics
    • /
    • v.18 no.3
    • /
    • pp.571-587
    • /
    • 2016
  • Nam(2008a) suggested that the role of teacher for helping students to learn mathematical structures should be the manifestor of tacit knowledge. But there have been lack of researches on embodying the manifestation of tacit knowledge. This study embodies the manifestation of tacit knowledge by showing that exemplification is one way of manifestation of tacit knowledge in terms of goal, contents, and method. First, the goal of the manifestation of tacit knowledge through exemplification is helping students to learn mathematical structures. Second, the manifestation of tacit knowledge through exemplification intends to teach students mathematical structures in the tacit dimension by perceiving invariance in the midst of change. Third, the manifestation of tacit knowledge through exemplification intends to teach students mathematical structures in the tacit dimension by constructing explicit knowledge creatively, reflection on constructive activity and social interaction. In conclusion, exemplification could be seen one way of embodying the manifestation of tacit knowledge in terms of goal, contents, and method.

An Analysis on the Examples of Polygons in the 1st Grade Middle School Mathematics Textbooks (중학교 1학년 교과서에서 다각형에 관한 예 분석)

  • Lee, JiHye;Son, HuiRim;Kim, SeongKyeong
    • School Mathematics
    • /
    • v.15 no.4
    • /
    • pp.743-758
    • /
    • 2013
  • This paper analyses the examples of polygons taken in the 1st grade middle school mathematics textbooks. We analysed generic examples, non-examples and counter-examples represented in these textbooks. And also we classified and analysed with examples of the concept and the application of a procedure. We analysed the differences of methods among these textbooks representing the same concepts or procedures. The findings from the analysis showed that these textbooks mostly make use of generic examples. The examples of concept and procedure vary depending upon the textbooks. Also, many textbooks haven't properly represented various positions and figures of polygons. Textbooks need to represent various and appropriate examples in order to expand the example space of the students.

  • PDF

New Regional Geography and Regional Development in the Age of Globalization (새로운 지역지리학과 세계화시대 지역발전)

  • Choi, Byung-Doo
    • Journal of the Korean association of regional geographers
    • /
    • v.8 no.2
    • /
    • pp.131-149
    • /
    • 2002
  • Geography has been defined traditionally as a discipline on regions, that is, as chorography, which means regional geography. Regional geography, which once withered up with the development of positivist geography, has gained recently its vitality. In particular, as social theories have been introduced actively into geography since the 1980s, new methodologies for regional geography have been suggested through a series of debates, for example, on spatiality, locality, restructuring, and post-modernism, though there remain still some important conceptual issues which have not yet settled down. On the other hand. new regional geography has made its development and significance for regional development in the age of the so-called globalization in the reality. That is, new regional geography has been required for a systematic conceptualization of region and for a theoretical consideration on the dynamic change of regions in the process of globalization. Furthermore, an emphasis can be given to geography education for new regional geography in order to understand new strategies for regional development.

  • PDF