• Journal for History of Mathematics
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• v.26 no.1
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• pp.33-56
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• 2013

This is a literature study about the concept of 'Division into Equal Parts' in middle school geometry. First, we notice that the concept of the division into equal parts in middle school geometry is given in four themes, which are those of line segments, angles, arches and areas. Second, we investigate and analyse the historical backgrounds of these four kinds of divisions into equal parts. Third, the possibility of extension in terms of method and concept was researched. Through the result of this study, we suggest that it is desirable to use effective utility of history in mathematical teaching and learning in middle school.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.319-339
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• 2014

Recently, the discussion about division and partition of fraction increases in Korea's national curriculum documents. There are varieties of assertions arranging from the opinion that both interpretations are unintelligible to the opinion that both interpretations are intelligible. In this paper, we investigated a possibility that division and partition interpretation of fraction become valid. As a result, it is appeared that division and partition interpretation of fraction can be defined reasonably through expansion of interpretation of natural number. Besides, division and partition interpretation of fraction can be work in activity, such as constructing equation from sentence problem, or such as proving algorithm of fraction division.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.395-411
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• 2013

There are two concepts of division: measurement division and partitive or fair-sharing division. Students are expected to understand comprehensively division algorithm in both contexts. Contents of textbooks and teachers' guidebooks should be suitable for helping students develop comprehensive understanding of algorithm for whole-number division in both contexts. The results of the analysis of textbooks and teachers' guidebooks shows that they fail to connect two division contexts with division algorithm comprehensively. Their expedient and improper use of two division contexts would keep students from developing comprehensive understanding of algorithm for whole-number division. Based on the results of analysis, some ways of improving textbooks and teachers' guidebooks are suggested.

• Proceedings of the Korea Inteligent Information System Society Conference
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• 2007.05a
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• pp.260-265
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• 2007

모바일 정보 서비스의 수용성에는 사용자 인터페이스가 중요한 요소이다. 특히 모바일 인터페이스에서 청자(listner)인 인간에게 화자(speaker)인 기계가 어떻게 시의적절한 대화를 하는가는 수용성에 중요한 요소임에도 불구하고 아직까지 이에 대한 본격적인 연구가 진행되지 못했다. 따라서 본 연구의 목적은 사용자의 상황을 인식한 존대등분 계산법을 제안하여 이에 근거한 시의적절한 대화를 지원하는 상황 인식형 모바일 인터페이스를 설계하도록 하는 것이다. 다만 존대등분 계산은 문화별 및 언어별로 차이가 날 수 있으므로, 한국어를 대상으로 계산법을 제안하려고 한다.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2017.05a
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• pp.154-156
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• 2017

Constant variance of degradation data over time has been generally assumed to estimate storage lifetime using destructive, accelerated degradation data over time. However, performance data of ammunitions deteriorate over time, and the standard deviation would tend to increase over time. This paper shows storage lifetime comparison results for constant variance and time-variant variance assumptions of degradation data over time, and proposes that time-variant variance assumption should be considered to increase accuracy in lifetime estimation.

• School Mathematics
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• v.14 no.1
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• pp.45-64
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• 2012

The purpose of the present study was to investigate middle grades (Grade 5-7) mathematics teachers' knowledge of partitive fraction division. The data were derived from a part of 40-hour professional development course on fractions, decimals, and proportions with 13 in-service teachers. In this study, I attempted to develop a model of teachers' way of knowing partitive fraction division in terms of two knowledge components: knowledge of units and partitioning operations. As a result, teachers' capacities to deal with a sharing division problem situation where the dividend and the divisor were relatively prime differed with regard to the two components. Teachers who reasoned with only two levels of units were limited in that the two-level structure they used did not show how much of one unit one person would get whereas teachers with three levels of units indicated more flexibilities in solving processes.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.521-539
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• 2016

The structures of partitive and quotitive division of fractions are dealt with differently, and this led to using partitive division context for helping develop invert-multiply algorithm and quotitive division for common denominator algorithm. This approach is unlikely to provide children with an opportunity to develop an understanding of common structure involved in solving different types of division. In this study, I propose two approaches, measurement approach and isomorphism approach, to develop a unifying understanding of fraction division. From each of two approaches of solving quotitive division based on proportional reasoning, I discuss an idea of constructing a measure space, unit of which is a quantity of divisor, and another idea of constructing an isomorphic relationship between the measure spaces of dividend and divisor. These ideas support invert-multiply algorithm for quotitive as well as partitive division and bring proportional reasoning into the context of fraction division. I also discuss some curriculum issues regarding fraction division and proportion in order to promote the proposed unifying understanding of partitive and quotitive division of fractions.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2011.04a
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• pp.481-484
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• 2011

최근 철도는 미래의 핵심교통수단이자 저탄소 녹색성장을 대표하는 교통수단으로 주목받고 있다. 그 중 자기부상열차는 바퀴 마찰에 따른 소음 진동 분진이 없는 차세대 교통수단이며, 이를 지지하는 구조물(교량)은 열차의 운행 안정성(동적거동)을 고려한 설계가 필요하다. 또한, 상부 구조물은 자기부상열차의 연행이동등분포하중을 지지하며, 이러한 하중조건을 갖는 차량이 운행할 때 상부 구조물은 설계기준사항들을 만족해야한다. 도시형 자기부상철도 토목구조물 설계기준에 의하면 도시형 자기부상철도의 운행 안정성(동적거동)을 평가하기 위한 항목들로 대상 구조물의 고유진동수, 승차감을 고려한 연직처짐 등이 요구된다. 따라서, 본 연구에서는 자기부상열차의 실 열차하중을 고려하여 연행이동등분포하중으로 철도교량의 동적거동을 검토하였으며, 설계기준을 적용하여 대상 철도 교량의 운행 안정성을 평가하였다.

• Proceedings of the Korean Statistical Society Conference
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• 2000.11a
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• pp.165-171
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• 2000

일원분류 모형에서 표준 F-검정을 하기 위해서는 오차항에 대한 등분산성을 가정한다. 그러나 실제로 이러한 가정은 지켜지기 힘들며, 이에 더불어 관찰치가 각 집단별로 일정하지 않고 불균형한 경우에는 F-검정의 유의수준이 지정된 값을 만족시키지 못하며, 따라서 검정력에 관한 분석은 의미가 없게 된다. 본 연구에서는 등분산성이 지켜지지 않고, 자료가 불균형한 경우, 현실적인 상황에서 일반적으로 사용되는 F-검정의 유의수준 유지라는 문제가 어 떤 변화를 겪게 되는지를 확인하고, 더 나아가 유의수준을 유지하기 위해서는 어떤 식의 조정이 가능한지를 살펴보았다.

• The Journal of the Acoustical Society of Korea
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• v.12 no.4
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• pp.47-56
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• 1993

본 논문은 다구간 등분할법과 퍼지추론으로 단어인식을 행하는 패턴매칭법을 제안한다. 패턴매칭시 발생되는 시간변동은 발성순서에 따라 등간격으로 다구간 분할함으로써 해결하고, 주파수변동은 구간의 차수별로 정해진 퍼지관계로부터 패턴간의 퍼지추론이 행해짐으로써 흡수한다. 추론에 사용된 삼각형 맴버쉽 함수의 중심값과 변동폭은 패턴의 평균값과 분산값으로 대응되도록 작성한다. 20대 남성 2인이 발성한 데이터를 사용하여, 제안된 방법으로 DDD지역명 28개를 구간수와 변동폭을 달리하여 인식실험한 결과, 8구간과 4배의 변동폭을 가질 때 92%의 인식을 얻었다.