• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.403-420
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• 2016

Some of the critical changes in the revised 2015 Korean Mathematics curriculum were that direct proportion and inverse proportion were moved from elementary school to middle school and that supplementary content related to correlation was included. These decisions were based on comparative studies of international curriculum. Therefore in this study, we selected countries for comparison; United States, England, France, Finland, Australia, Japan, Singapore, China and Taiwan. We looked into the timing and scope for direct/inverse proportion and correlation in curricula of these countries. Along with this, we established four criteria; vertical sequence, horizontal sequence, external connection, and internal connection for an analysis framework. Then we compared and analysed the direct/inverse proportion and correlation in each curriculum. As a result, in most of these curricula, the direct/inverse proportions are introduced at middle school or are introduced at elementary school and then developed further at middle school. Most of curriculums on direct/inverse proportion and correlation match the four criteria. Correlation is introduced in high school mathematics in all counties except Finland and it is dealt in diverse context introducing related concepts, for example, correlation coefficient, regression straight line, and least square. We suggested that it is necessary to refer these international trends for the next revision of curriculum.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.345-363
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• 2010

The purpose of this study is to investigate and analyze informal knowledge of students who do not learn the conception of proportion and to identify how the informal knowledge can be used for teaching the conception of proportion in order to present an effective method of teaching the conception. For doing this, proportion was classified into direct and inverse proportion, and 'What are the informal knowledge of students?' were researched. The subjects of this study were 117 sixth-graders who did not have prior learning on direct and inverse proportion. A total eleven problems including seven for direct proportion and four for inverse proportion, all of them related to daily life. The result are as follows; Even though students didn't learn about proportion, they solve the problems of proportion using informal knowledge such as multiplicative reasoning, proportion reasoning, single-unit strategy etc. This result implies mathematics education emphasizes student's informal knowledge for improving their mathematical ability.

• Proceedings of the Korea Water Resources Association Conference
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• 2015.05a
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• pp.162-167
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• 2015

매년 여름철 피서지 1순위로 손꼽히는 해수욕장은 해양레포츠의 발달과 관광사업의 촉진으로 수많은 관광객들이 방문하고 있다. 하지만 우리나라 대부분의 해수욕장에서는 건전한 해수욕을 위한 수질안전지표 설정이 매우 미흡한 편이며 오염수준 또한 심각하다. 이에 강원도 강릉시 경포해수욕장을 대상지역으로 2012년 7월 17일부터 9월 4일까지 매주 화요일 오전에 채취한 시료로부터 병원성 수질지표인 장구균과 대장균, 총대장균군의 오염도를 분석하였다. 시료는 경포해수욕장 오리바위 배후부터 연안방향을 따라 200m 간격으로 3지점과 이안방향을 따라 백사장(dry beach), 포말대(swash zone), 유영층(swimming zone)의 3지점에서 총 9개를 채취하였다. 기온, 강우, 장소 등의 해안 환경 변화에 따른 병원균 증식 유리조건 및 인자들간의 상관성을 분석한 결과 백사장에서는 총대장균군, 포말대에서는 장구균, 유영층에서는 대장균의 농도가 가장 높았다. 또한 주간 누적 강우량과 평균 기온에 따라 시료채취 지점마다의 상관성에서는 백사장은 강우량과 정비례, 기온과는 반비례, 포말대와 유영층은 강우량과 반비례, 기온과는 정비례의 관계를 보였다. 백사장과 해수층인 포말대, 백사장과 유영층 각각은 반비례 관계를 보였지만 미비한 수준이었으며 포말대와 유영층간의 상관성은 약 90%의 매우 높은 수치를 띄었다. 본 연구는 건전한 수계 레크레이션 문화의 수질 안전지표 설정을 위해 해수욕장의 대표 관광명소 중 하나인 경포해수욕장을 대상으로 병원성 수질 지표들의 증식 유리 조건 및 확산특성 예측에 목적이 있다. 나아가 본 과정은 해변을 찾는 관광객들의 수질 안전 정보 제공 및 체계적인 가이드라인 제시로도 가치 있을 것으로 기대된다.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.505-516
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• 2013

The purpose of this paper is to analyse the essence of proportional reasoning and to analyse the contents of the textbooks according to the mathematics curriculum revised in 2007, and to seek the direction for developing the proportional reasoning in the elementary school mathematics focused the task variables. As a result of analysis, it is found out that proportional reasoning is one form of qualitative and quantitative reasoning which is related to ratio, rate, proportion and involves a sense of covariation, multiple comparison. Mathematics textbooks according to the mathematics curriculum revised in 2007 are mainly examined by the characteristics of the proportional reasoning. It is found out that some tasks related the proportional reasoning were decreased and deleted and were numerically and algorithmically approached. It should be recognized that mechanical methods, such as the cross-product algorithm, for solving proportions do not develop proportional reasoning and should be required to provide tasks in a wide range of context including visual models.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.215-238
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• 2016

The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.5 no.1
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• pp.65-74
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• 1985

This study is an experimental analysis for local scour of the riverbed at pier. The basic equation with dimensionless elements(Pier Reynolds Number, Dimensionless Turbulence Intensity) is derived through dimensional analysis. After testing the goodness of fit of data, the coefficients are determined by multiple regression analysis. In the region where the value of the attack angle is near 20 degrees, there exists a transition region where the slope of equation with Pier Reynolds Number changes from positive to negative and that of equation with Dimensionless Turbulence Intensity changes from negative to positive adversely. As a result of testing the equation suggested on this study by using the data of the Institute of National Construction, it is found that the scour depth and width at pier can be predicted approximately.

• Korean journal of applied entomology
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• v.13 no.1 s.18
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• pp.33-39
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• 1974

For the investigations on the mechanism of blast disease resistance in the rice variety 'Toilg-il', Ihe chemical contents such as silicate, nitrogen and flavonoid in the leaf blades of tile variety were determined as compared to moderately susceptible variety 'Pung-kwang' A correlation between disease severity of rice blast and the chemical contents in the variety 'Pung-kwang' were also studied. The results showed that silicate and flavonoid contents were decreased inversely with application of nitrogen fertilizer, and negative correlation between silicate and flavonoid contents and disease severity in the field were observed. In the resistant variety 'Tong-il', these chemical contents and silicified cells were significantly higher than in the variety 'Pung-kwang' From these results, it seemed that the high contents of silicate and flavonoid in the leaf blades were related closely to the resistance of the variety 'Tong-il'.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.145-166
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• 2012

The objective of this study is to analyze the cases related to the lingual and non-lingual metaphors used in the math class at elementary school and consider the values of metaphors as a teaching method for the subject of mathematics. Throughout this study, teachers' gestures are analyzed as lingual and non-lingual metaphors shown between teachers and students in the class for the topic of the inverse proportion in quartic equations for direct and inverse proportions in Chapter 7 for the first semester of the 6th grade at elementary school in terms of the amended curriculum for the year of 2007. According to the results of the analysis, it can be concluded that there are mechanical and hypothetical movement metaphors in the mathematical metaphors observed in this study. Also, in terms of gestures, iconic, metaphoric and deixis gestures are found. Such metaphors seem to be evenly distributed throughout the math class and expressed in various forms. Based on the results of the analysis, the educational meaning given by the utilization of metaphors is considered for the math class.

• Korean journal of applied entomology
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• v.13 no.4 s.21
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• pp.245-249
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• 1974

In order to establish a dose limits for subsequent induced mutation research itl Pyricularia oryzae, X-ray sensitivity of the conidia and the vegetative hypae of the fungus, race N-1, was investigated. Conidia of the fungus irradiated with X-rays reduced significantly in spore germination inversely with radiation doses. A severe suppression of conidia germination in about $80\%$ was found at the dose of 120kR, and the rests of the conidia produce very short and lysed germ tubes. A stimulated effect was observed in the elongation of hyphae from the conidia of 10 kR irradiation at initial stage of the growth. The radiosensitivity of hyphae was exremely higher than that of conidia with the increase of radiation doses. It was also recognized that the frequency of X-ray induced mutation in pathogenicity was directly proportional to radiation doses.

• Explosives and Blasting
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• v.19 no.3
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• pp.105-113
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• 2001

채석, 굴착, 가공과 같은 워터젯 응용분야에서 대상재료에 깊은 홈(kerf)을 절단할 수 있는 실험실용 회전식 슬로터(slotter)를 제작하여 암석을 대상으로 워터젯 시스템의 절단효율을 시험하였다. 고압펌프는 유율 7.5 l/min, 압력 379 MPa, 용량 75 kW급의 JETPAC을 주로 사용하였고, 암석시료는 화강석인 제천석, 거창석을 사용하였다. 시험과정에서는 물과 연마재 투입에 의한 절단 및 진동식 슬로터에 의한 슬롯절단 기초시험을 먼저 수행하고, 그 결과를 토대로 회전식 슬로터에 의한 절단시험을 실시하였다. 순수한 물에 의한 시험의 결과 고압수류의 토출압력은 절단심도에 정비례하였고, 노즐의 이송속도는 이차함수 형태의 반비례 관계를 보였다. 연마재 투입시험에서는 순수한 물에 의한 경우에 비해 연마재로 인한 충격력의 증가로 절단심도가 크게 증가하였는데, 유사한 조건하에서 3~5배 이상의 절단심도의 증가를 보였다. 진동식 슬로터에 의한 슬롯절삭에서는 생성된 슬롯의 내벽면이 바닥으로 갈수록 좁아짐으로써 넓은 폭의 슬롯형성은 가능하나 절삭심도가 제한되었다. 회전식 슬로터에 의한 시험에서 생성된 슬롯들은 평균 22 mm의 폭으로 내벽면이 바닥까지 서로 평행하여 깊은 심도까지 비트진입이 가능하였다. 절단율은 16~32 mm/sec의 속도범위에서 $40~160{\;}\textrm{mm}^2/sec$로 나타났다. 한편, 최대유율 24 l/min의 HUSKY S-200 펌프에 의한 시험결과 JETPAC 펌프에 비해 1.13~3.47 배의 절단심도를 보였다