• Title/Summary/Keyword: 수 개념 지도

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Analysing Textbooks and Devising Activities in relation to Errors of Zero(0) (0처리 오류에 기초한 교과용 도서 분석 및 활동 구성)

  • Chang, Hyewon;Choi, Mina;Lim, Miin
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.2
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    • pp.257-278
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    • 2014
  • The concept of zero(0) and calculations involving 0 are a few of the most difficult topics that students experience in learning mathematics. Therefore, it implies that proper guidance to help students understand the desirable concept of 0 and acquire calculating process involving 0 should be provided when we teach numbers and operations. This study aims to investigate instructional situations in relation to the errors of 0 and to search for efficient ways to teach them based on the previous research. To do this, we analysed elementary mathematics textbooks and workbooks. The result showed that $0{\div}$(a number) and the division of which quotient includes 0 as a middle digit lacked in current textbooks and workbooks. We devised the learning activities of the two topics for 3rd grades and 4th grades, respectively. We expect that the activities will be helpful to devise learning activities of textbook and suggest some implications for teaching the calculations involving 0.

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Difficulty of understanding and using the number line by Elementary school students (초등학생의 수직선 이해와 사용의 어려움)

  • Kim, Yang Gwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.85-101
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    • 2017
  • The purpose of this study is to investigate how elementary school students understand and use the number line relating number concept and what is the main problem in the learning process. For the efficient achievement of this purpose, we investigated how the number line metaphor is related to the number concept and considered the role of the number line on Freudenthal's number concept teaching theory. The test conducted to find the degree of understanding and difficulty on using the number line by actual elementary school students consisted of two questions ; to find appropriate number corresponding to the given number on the number line and to identify contents of chapters about the use of number line on each grade. It was found that many students couldn't solve the problem represented by the number line though they could solve the problem represented by other ways such as number track and pictures. The only difference between the two problems was the way of representation, and they had same contents and structure. This study tried to figure out the meaning of this phenomenon. Also, by using various teaching-learning method (number track, pictures, empty number line, and double number line etc.), this study was aimed to provide the way to help learning 'related number concept' and to solve the difficulty on understanding the number line.

Middle School Student’s Conceptual Change from Geocentricism to Heliocentricism Using Science History Materials (과학사 자료를 활용한 중학생들의 천동설에서 지동설로의 개념 변화)

  • Choi Jin-Hee;Kim Hee-Soo;Chung Jung-In
    • Journal of the Korean earth science society
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    • v.26 no.6
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    • pp.489-500
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    • 2005
  • The objective of this study is to examine the cognitive process that undergoes a middle student’s conceptual change about the universe by the cognitive conflict, using science history materials as a teaching strategy. Four eighth graders were selected and classified by three cognitive level. Students were interviewed and conducted to an inquiry activities regarding their viewpoint about the universe after each class, and their conceptual change patterns were analysed from pre-test and post-test. This study showed that each student held dissimilar astronomical preconceptions and various misconceptions about celestial motion. Students at the formal operational stage and transitional stage experienced the conceptual change from geocentricism to heliocentricism by instructional model upon the science history materials. Student at the concrete operational stage had either unscientific conception, no conception, or could not have a conceptual change even when being presented with an environment that arouses cognitive conflict ($R^2$: Phase change of Venus and its Rise and set time). They ended up having a cognitive change from geocentricism to heliocentricism by solving another problem ($R^2$: Relation between visible diameter and position of Mars). After the instruction, a conceptual achievement progress was reported with a $10\%$ improvement. Therefore, the instruction model based upon science history was effective on student’s scientific conceptual change.

An Evaluation-Based Knowledge Management System for Manacling Dynamic Knowledge (동적 지식관리를 위한 평가기반 지식관리시스템)

  • 김홍기;신길환
    • Journal of the Korean Society for information Management
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    • v.19 no.2
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    • pp.109-130
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    • 2002
  • This paper is mainly concerned with the matter of how organizational knowledge is represented in terms of usability by letting the members of the organization evaluate knowledge items in the problem solving situations. Organizational knowledge can be represented in the form of a visualized dynamic knowledge map since the organizational members experience constant changes in goals, kinds of problems, and the importance of alternatives to solve the given problems. The dynamic map suggested in this study is goal oriented in the sense that it represents the relationship between knowledge items across domains as well as within a domain.

A Comparative Analysis of pi in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 원주율의 지도방안 비교·분석)

  • Choi, Eunah;Kang, Hyangim
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.589-610
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    • 2022
  • This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.

A Study on Developing the Teachers' Guide Book for Diagnosis and Prescription of Students' Mathematical Errors (수학과 오류의 진단과 처방에 관한 교사용 자료 개발 연구)

  • 김수미
    • School Mathematics
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    • v.5 no.2
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    • pp.209-221
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    • 2003
  • This study focuses on the necessity of developing the material for teachers who are involved in diagnosing and prescribing students' mathematical errors. And it also intends to stimulate the related research of this area. For this, it tries to suggest the fundamental components-(1)types and frequencies of errors, (2) diagnostic test kit, (3)causes of errors, (4)ideas for prevention, (5)ideas for correction, (6)practice for settlement, and (7) performance test kit and frame of the teaching guide book for the teachers according to the general procedure of diagnosis and prescription. Finally it provides the concrete research areas for the future study.

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수학 개념의 자기 주도적 구성을 위한 교수 ${\cdot}$ 학습 모델 개발 - Cabri Geometry II와 MathView 활용을 중심으로 -

  • Park, Yong-Beom;Kim, Han-Hui;Park, Il-Yeong
    • Communications of Mathematical Education
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    • v.9
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    • pp.97-114
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    • 1999
  • 새로운 세기의 수학 교육은 직관과 조작 활동에 바탕을 둔 경험에서 수학적 형식, 관계, 개념, 원리 및 법칙 등을 이해하도록 지도되어야 한다. 즉 학생들의 내면 세계에서 적절한 경험을 통하여 시각적 ${\cdot}$ 직관적으로 수학적 개념을 재구성할 수 있도록 상황과 대상을 제공해야 한다. 이를 위하여 컴퓨터 응용 프로그램을 활용한 자기주도적 수학 개념 형성에 적합한 교수 ${\cdot}$ 학습 모델을 구안하여 보았다. 이는 수학의 필요성과 실용성 인식 및 자기주도적 문제해결력 향상을 위한 상호작용적 매체의 활용이 요구된다. 본 연구는 구성주의적 수학 교수 ${\cdot}$ 학습 이론을 근간으로 대수 ${\cdot}$ 해석 ${\cdot}$ 기하 및 스프레트시트의 상호 연계를 통하여 수학 지식을 재구성할 수 있도록 학습수행지를 제작하여 교사와 학생의 다원적 상호 학습 기회를 제공하는 데 주안점을 두고자 한다.

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Conceptual Model of Ethical UX Approach in Conversational AI System (대화형 AI 시스템에서 윤리적 UX 접근 방식의 개념 모델)

  • Ahn, Sunghee
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2022.06a
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    • pp.572-573
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    • 2022
  • 본 논문은 메타버스 환경에서 문제가 대두되고있는 AI 윤리(ethic)를 배경으로 인터랙션을 통해 사람들의 온라인과 오프라인의 결정요소에 직접적으로 영향을 미치는 대화형 AI가 어떻게 윤리적으로 진화될 수 있을지에 대한 공학적 솔루션을 UX 관점으로 찾아보는 기술 전략 연구라고 할 수 있다. 연구의 가설은 AI 의 머신러닝과정에 개별 사용자 그룹의 경험데이터가 반드시 포함되고 고려되어야 AI 는 오류값을 줄이고 윤리적으로 대응할 수 있다는 전제이다. 이를 위하여 본 논문은 기존의 머신러닝과 대화형 AI 의 UX 관점의 다이아로그 플로우 등을 연구 분석하고 사용자 데이터들을 실험하여 메타버스 서비스 환경에서의 기존에 논의되고 있는 컨택스트기반의 AI 머신러닝 과정에 사용자의 정성적 경험데이터를 추가한 윤리적 UX 접근 개념 모델을 제안 하였다. 아직은 개념모델 단계이고 시스템에서는 지금까지 다르지 않았던 비정량적인 감정과 융합적경험을 어떻게 문화적으로 코드화 하고 시스템적인 랭귀지와 연결시킬 수 있을지에 대한사용자 연구가 후속연구로 진행될 예정이다.

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A Suggestion for Product Ontology Visualization (상품 온톨로지에 유리한 비주얼라이제이션)

  • Kim Mi-sook;Lee Suekyoung;Lee Sang-goo
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07b
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    • pp.202-204
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    • 2005
  • 상품 온톨로지는 온톨로지 (Ontology) 구성요소인 개념 (Concept) 과 속성 (Property)이 상품 도메인에 특화된 온틀로지이다. 본 논문에서는 대용량을 특징으로 하는 상품 온톨로지를 표현함에 적용되어 질 수 있는 Hyperbolic Tree, Cluster Map, 그래프 비주얼라이제이션을 살펴보고, 계층을 갖는 개념을 표현하는 데 좋은 Hyperbolic과, 속성을 잘 표현 할 수 있는 Cluster Map을 상품 온톨로지에 유리한 비주얼라이제이션으로서 제안한다.

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Historical Significance and Didactical Implications of Stevin's (Stevin의 '소수'의 수학사적 의의와 수학교육적 함의)

  • Chang, Hye-Won
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.121-134
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    • 2011
  • Stevin is known as the inventor of decimal fractions, even though many mathematicians had the concept of decimal fractions and used it before Stevin. Why? To respond to such a question, we studied about its significance which 'La Disme' had in the history of mathematics. These can be summarized as its notational aspect, the manner of developing the book, the conceptual revolution and the practical purpose. And the chapter and verse of are little known when compared to its reputation. So in this paper we considered its contents in detail and discussed some didactical implications in relation to teaching and learning of decimal fractions in elementary school : importance of place values, similarity of calculation to natural numbers, using common fractions to justify, emphasis on the applications of decimal fractions, relation to measuring units, necessity of teaching number sense, using notational aspects.

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