• Title/Summary/Keyword: decimal principles

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An Analysis of Connection between Errors and Prior Knowledge in Decimal Calculations of 6th Grade Students (초등학교 6학년 학생들의 소수 계산 오류와 선행지식 간의 연결 관계 분석 및 지도방안 탐색)

  • Pang Jeong-Suk;Kim Jae-Hwa
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.275-293
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    • 2006
  • The purpose of this study was to analyze the connection between students' errors and prior knowledge as an attempt to design an efficient teaching method in decimal computation. A survey on decimal computations was conducted in two 6th grade elementary school classrooms. Error patterns on decimal computations were analyzed and clinical interviews were conducted with 8 students according to their error patterns. Main errors resulted from the insufficient understanding of prior knowledge such as place value, connection between decimals and fractions, meaning of operations, and computation principles of fractions. In order to help students overcome such obstacles, a teaching experiment was designed in a manner that strengthens a profound understanding of prior knowledge related to decimal computations, and connects such knowledge to actual decimal calculations. This study showed that well-designed lesson plans with base-ten blocks might decrease students' errors by helping them understand decimals and connect their prior knowledge to decimal operations.

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An Analysis on the Students' Understanding in Concept and Operations of Decimal Fraction (초등학생들의 소수 개념과 그 연산에 대한 이해도 분석)

  • Moon, Beomshik;Lee, DaeHyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.2
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    • pp.237-255
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    • 2014
  • The purpose of this study is to investigate elementary school students' understanding the concept and operations of decimal fraction. The survey research was performed for this study. This survey was done by selecting 156 students. Questionnaire were made in five areas with reference to the 2007 revised mathematics curriculum. Five areas were the concept of decimal fraction, the addition, the subtraction, the multiplication and the division of decimal fraction. The results of such analysis are as follow: The analyzed result of understanding about concepts and operation of decimal fraction showed a high rate of correct answer, more than 85%. Students thought that multiplication and division of decimal fraction is more difficult than addition, subtraction, concept of decimal fraction. As the learning about concepts and operation of decimal fraction progress, the learning gap is bigger. Effort to reduce the learning deficits are needed in the lower grades. Mathematics is the study of the hierarchical. Learning deficits in low-level interfere with the learning in next-level. Therefore systematic supplementary guidance for a natural number and decimal fraction in low-level is needed. And understanding concepts and principles of calculations should be taught first.

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A Study on Modifications and Expansions of Area Divisions of Korea in Auxiliary Table of Dewey Decimal Classification (듀이십진분류법의 지역 보조표에서 한국 지역 구분의 수정 전개 방안에 관한 연구)

  • Chung, Yeon-Kyoung
    • Journal of the Korean Society for Library and Information Science
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    • v.46 no.3
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    • pp.181-201
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    • 2012
  • This study aims to analyze and compare the structures of auxiliary tables regarding places - for example, Korea using several decimal classification systems such as DDC, UDC, KDC and NDC. For each auxiliary table, the codes were described in detail and the special characteristics were discussed. The common characteristics and the different aspects of different decimal classification systems were investigated as well as divisions of Korea in Korean Wikipedia and an administrative district classification system. This study suggests a new basic summary for the expansion of codes of Korea in auxiliary table in DDC with its principles and options and it will be useful for revising process of many decimal classification systems.

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.

A Study on Modification and Expansion of Dewey Decimal Classification about Immigration Policy (이민정책 분야의 DDC 수정 전개 방안에 관한 연구)

  • Chung, Yeon-Kyoung
    • Journal of the Korean Society for information Management
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    • v.28 no.4
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    • pp.33-48
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    • 2011
  • This study investigated and analyzed various library classification systems and related literature in order to suggest some modifications and expansion of the Dewey Decimal Classification, the 23rd edition (DDC 23) in the area of immigration policy - an interdisciplinary subject - for the best information organization and services. First of all, definitions and scopes of the immigration policy were dealt with and then primary subject areas of it were selected. And then, DDC, Library of Congress Classification, Korean Decimal Classification, and Universal Decimal Classification were compared and analyzed according to the structures, headings and characteristics. Finally, modified classification schedules in immigration policy of the DDC 23 - the most frequently used one with an regular revision was proposed with their principles and main schedules with an auxiliary table. It can be used for an effective information organization in immigration policy area and it will be useful for many libraries and research institutes on immigration policy.

A Study on the Structure of Geographical Division in Library Classification System (문헌분류법에서의 지역구분에 관한 연구)

  • Nam, Tae-Woo;Baek, Hae-Kyung;Lee, Hyung-Mi;Jeong, Soo-Jin
    • Journal of Korean Library and Information Science Society
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    • v.39 no.4
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    • pp.189-214
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    • 2008
  • Objective of this research is to point out problems of geographic division structure in current Korean Decimal Classification System and provide solutions. For this purpose key classification methods were divided to decimal and non-decimal classification methods and analyzed for geographical division principles. In addition, national institutes regional division standards from Korea, USA and Japan were researched. Through these analysis, we provided suggestions to improve the table of geographical division in KDC4 including public institutions administrative district classification structure relations and consistency, and other regional divisional standards (proposal) instead of typical administrative district reflecting various geographical conditions.

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Mapping of the Universe of Knowledge in Different Classification Schemes

  • Satija, M.P.;Martinez-Avila, Daniel
    • International Journal of Knowledge Content Development & Technology
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    • v.7 no.2
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    • pp.85-105
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    • 2017
  • Given the variety of approaches to mapping the universe of knowledge that have been presented and discussed in the literature, the purpose of this paper is to systematize their main principles and their applications in the major general modern library classification schemes. We conducted an analysis of the literature on classification and the main classification systems, namely Dewey/Universal Decimal Classification, Cutter's Expansive Classification, Subject Classification of J.D. Brown, Colon Classification, Library of Congress Classification, Bibliographic Classification, Rider's International Classification, Bibliothecal Bibliographic Klassification (BBK), and Broad System of Ordering (BSO). We conclude that the arrangement of the main classes can be done following four principles that are not mutually exclusive: ideological principle, social purpose principle, scientific order, and division by discipline. The paper provides examples and analysis of each system. We also conclude that as knowledge is ever-changing, classifications also change and present a different structure of knowledge depending upon the society and time of their design.

Analysis of Second Graders' Counting an Irregular Arrangement of Three-Digit Objects (세 자리 수의 불규칙 배열 대상에 대한 초등학교 2학년의 수 세기 분석)

  • Chang, Hyewon
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.469-486
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    • 2022
  • Counting occupies a fundamental and important position in mathematical learning due to its relation to number concepts and numeral operations. In particular, counting up to large numbers is an essential learning element in that it is structural counting that includes the understanding of place values as well as the one-to-one correspondence and cardinal principles required by counting when introducing number concepts in the early stages of number learning. This study aims to derive didactical implications by investigating the possibility of and the strategies for counting large numbers that is expected to have no students' experience because it is not composed of current textbook activities. To do this, 89 second-grade elementary school students who learned the three-digit numbers and experienced group-counting and skip-counting as textbook activities were provided with questions asking how many penguins were in a picture where 260 penguins were irregularly arranged and how to count. As a result of analyzing students' responses in terms of the correct answer rate, the strategy used, and their cognitive characteristics, the incorrect answer rate was very high, and the use of decimal principles, group-counting, counting by one, and partial sum strategies were confirmed. Based on these analysis results, several didactical implications were derived, including the need to include counting up to large numbers as textbook activities.

An Analysis of Cartographic Materials Area in LCC and Some Suggestions on Their Applicable Principles into KDC (LCC 지도자료 분류의 특성과 KDC에서의 적용 방안)

  • Lee, Chang-Soo
    • Journal of Korean Library and Information Science Society
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    • v.38 no.3
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    • pp.161-181
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    • 2007
  • This study examined the changes, development and characteristics of the cartographic materials field in LCC as a suggestion of an ideal classification scheme which is necessary for classily the cartographic materials in libraries. The main purpose this study is to suggest how to apply the examination results to the related subject field in KDC focused on the integration and subdivision of area table and developing subject subdivision table.

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Abacus Numerals for Rapid and Sufficient Mathematics Learning for Enhancing Creativity

  • Hayakawa Yoshinori
    • Research in Mathematical Education
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    • v.9 no.3 s.23
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    • pp.243-256
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    • 2005
  • Abacus numerals were developed using the concept of the binary system to form decimal numerals. This would allow addition, subtraction, multiplication, and division to be performed based solely on the knowledge of the 14 forms of the numerals and three simple rules. These numerals were taught to 260 elementary school pupils of 3rd and 4th grade. After 90 minutes of instruction, they, nearly all, were able to understand principles to add, and to subtract, and partly to multiply using Abacus Numerals. Protected Abacus Numerals are proposed against forgery. An International Numeration System is proposed based on the form of Abacus Numerals to facilitate international communication. A new type of abacus is proposed.

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