• Title/Summary/Keyword: 소수의 의미

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Analysis and Critique of the Introduction of Decimal Fraction in Korean Elementary Mathematics (우리나라 초등학교 수학에서의 소수 도입에 대한 분석과 비판)

  • Kang, Hyun-Young;Park, Moon-Hwan;Park, Kyo-Sik
    • School Mathematics
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    • v.11 no.3
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    • pp.463-477
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    • 2009
  • Decimal Fraction with a significant meaning is being treated for long periods, from elementary school to high school. It is necessary to consider in a course of guidance about various aspects of decimal Fraction first of all in order that student understand well about the concert of it. If you overlook guidance of various means of decimal Fraction, Previously learned number system is limited understand of Decimal Fraction concept or meaning of Decimal Fraction limited to the one is difficult to calculate the Decimal Fraction, even can weaken understand of Real Number. Accordingly, in this study, we would like to separate meanings of the Decimal Fraction, focusing on the role and function of the Decimal Fraction in various situations used the Decimal Fraction. Based on this, we analyzed and criticized how to introduce the Decimal Fraction in elementary school textbooks according to the 7th curriculum.

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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.

An Analysis on the Process of Conceptual Understanding of Fifth Grade Elementary School Students about the Multiplication of Decimal with Base-Ten Blocks (십진블록을 활용한 소수의 곱셈 지도에서 초등학교 5학년 학생들의 개념적 이해 과정 분석)

  • Kim, Soo-Jeong;Pang, Jeong-Suk
    • Journal of Elementary Mathematics Education in Korea
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    • v.11 no.1
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    • pp.1-21
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    • 2007
  • The purpose of this study was to propose instructional methods using base-ten blocks in teaching the multiplication of decimal for 5th grade students by analyzing the process of their conceptual comprehension of multiplication of decimal. The students in this study were found to understand various meanings of operations (e.g., repeated addition, bundling, and area) by modeling them with base-ten blocks. They were able to identify the algorithm through the use of base-ten blocks and to understand the principle of calculations by connecting the manipulative activities to each stage of algorithm. The students were also able to determine whether the results of multiplication of decimal might be reasonable using base-ten blocks. This study suggests that appropriate use of base-ten blocks promotes the conceptual understanding of the multiplication of decimal.

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A Comparative Analysis of Decimal Numbers in Elementary Mathematics Textbooks of Korea, Japan, Singapore and The US (한국, 일본, 싱가포르, 미국의 초등학교 수학 교과서에 제시된 소수 개념 지도 방안에 대한 비교 분석)

  • Kim, JeongWon;Kwon, Sungyong
    • School Mathematics
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    • v.19 no.1
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    • pp.209-228
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    • 2017
  • Understanding decimal numbers is important in mathematics as well as real-life contexts. However, lots of students focus on procedures or algorithms of decimal numbers without understanding its meanings. This study analyzed teaching method related to decimal numbers in a series of mathematics textbooks of Korea, Japan, Singapore and the US. The results showed that three countries except Japan introduced the decimal numbers as another name of fraction, which highlights the relation between the concept of decimal numbers and fractions. And limited meanings of decimal numbers were shown such as 'equal parts of a whole' and 'measurement'. Especially in the korean textbooks, relationships between the decimals were dealt instrumentally and small number of models such as number lines or $10{\times}10$ grids were used repeatedly. Based these results, this study provides implications on what and how to deal with decimal numbers in teaching and learning decimal numbers with textbooks.

An Analysis on the Process of Conceptual Understanding of Fifth Grade Elementary School Students about the Division of Decimal with Base-Ten Blocks (십진블록을 활용한 소수의 나눗셈 지도에서 초등학교 5학년 학생들의 개념적 이해 과정 분석)

  • Pang, Jeong-Suk;Kim, Soo-Jeong
    • Journal of Educational Research in Mathematics
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    • v.17 no.3
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    • pp.233-251
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    • 2007
  • The purpose of this study was to propose instructional methods using base-ten blocks in teaching the division of decimal for 5th grade students by analyzing the process of their conceptual comprehension. The students in this study were found to understand the two main meanings of the division of decimal, distribution and area, by modeling them with base-ten blocks. They were able to identify the algorithm through the use of base-ten blocks and to understand the principle of calculations by connecting the manipulative activities to each stage of algorithm. The students were also able to determine using base-ten blocks whether the results of division of decimal might be reasonable. This study suggests that the appropriate use of base-ten blocks promotes the conceptual understanding of the division of decimal.

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초등학교 6학년 학생들의 분수와 소수연산에 나타나는 오류 유형 분석

  • 권오남;김진숙;이경아
    • Education of Primary School Mathematics
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    • v.1 no.1
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    • pp.45-58
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    • 1997
  • 초등학교 아동은 교육과정을 이수하면서 수 영역에서 자연수, 정수, 그리고 양의 유리수까지 학습하게 되어 있다(교육부, 1992). 초등학교에서의 유리수는 분수ㆍ소수를 의미하는 소박한 의미의 유리수를 의미한다. 여기서 유리수는 자연수와 정수를 포괄하는 수 체계적 의미로서 포함관계가 강조되지는 않는다.(중략)

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A Study on the Multiplication of the Decimal Fractions (초등수학에서 소수 곱셈의 지도에 관한 소고)

  • Byun, Hee-Hyun
    • Journal for History of Mathematics
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    • v.20 no.2
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    • pp.89-108
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    • 2007
  • Finding the lack of meaningful approaches in teaching multiplication of decimal fractions, this paper tries to show from the standpoints of Dewey, Vergnaud and Brousseau that the cognition of ratio and proportion is essential to the understanding of multiplication of decimal fractions. Based upon such posture, this paper compares the characteristics and approaches to multiplication of decimal fractions in Korean and Japanese textbooks. Finally, this paper suggests ways to develop the concept of multiplication of decimal fractions in Korean textbooks.

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An Exploration of the Improvement Direction for Decimal Fractional Multiplication Unit in Textbooks (소수 곱셈 단원의 교과서 개선 방향 탐색)

  • Kim, Sukyoung;Kim, Jinsook;Kwon, Sungyong
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.475-496
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    • 2018
  • Although the multiplication of decimal fractions is expected to be easy for students to understand because of the similarity to natural numbers multiplication in computing methods, students show many errors in the multiplication of decimal fractions. This is a result of the instruction focused more on skill mastery than conceptual understanding. This study is a basic study for effectively developing a unit of multiplication of decimal fractions. For this purpose, we analyzed the curriculums' performance standards, significance in teaching-learning and evaluation, contents and methods for teaching multiplication of decimal fractions from the 7th curriculum to the revised curriculum of 2015 and the textbooks' activities and lessons. Further, we analyzed preceding studies and introductory books to suggest effective directions for developing teaching unit. As a result of the analysis, three implications were obtained: First, a meaningful instruction for estimation is needed. Second, it is necessary to present a visual model suitable for understanding the meaning of decimal multiplication. Third, the process of formalizing an algorithms for multiplying decimal fractions needs to be diversified.

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The Meaning of the Definition of the Real Number by the Decimal Fractions (소수에 의한 실수 정의의 의미)

  • Byun Hee-Hyun
    • Journal for History of Mathematics
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    • v.18 no.3
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    • pp.55-66
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    • 2005
  • In our school mathmatics, the irrational numbers and the real numbers are defined and instructed on the basis of decimal fractions. In relation to this fact, we identified the essences of the real number and the irrational number defined by the decimal fractions through the historical analysis. It is revealed that the formation of real numbers means the numerical measurements of all magnitudes and the formation of irrational numbers means the numerical measurements of incommensurable magnitudes. Finally, we suggest instructional plan for the meaninful understanding of the real number concept.

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A Study of Korean Semantic Role Labeling using Word Sense (의미 정보를 이용한 한국어 의미역 인식 연구)

  • Lim, Soojong;Kim, Hyunki
    • Annual Conference on Human and Language Technology
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    • 2015.10a
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    • pp.18-22
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    • 2015
  • 기계학습 기반의 의미역 인식에서 주로 어휘, 구문 정보가 자질로 주로 쓰이지만, 의미 정보를 분석하는 의미역 인식은 단어의 의미 정보 또한 매우 주요한 정보이다. 그러나, 기존 연구에서는 의미 정보를 활용할 수 있는 방법이 제한되어 있기 때문에, 소수의 연구만 진행되었다. 본 논문에서는 동형이의어 수준의 의미 애매성 해소 기술, 고유 명사에 대한 개체명 인식 기술, 의미 정보에 기반한 필터링, 유의어 사전을 이용한 클러스터 및 기존 프레임 정보를 확장하는 방법을 제안한다. 제안하는 방법은 기존 연구 대비 뉴스 도메인인 Korean Propbank는 3.14, 위키피디아 문서 기반의 WiseQA 평가셋인 GS 3.0에서는 6.57의 성능 향상을 보였다.

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