• 제목/요약/키워드: school mathematics

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국가수준 학업성취도 평가의 성취수준별 정답률 편차에 따른 내용 영역과 행동 영역 특성 분석 (The Characteristic Analysis of Content Areas and Behavioral Areas Based on the Deviation of NAEA Achievement Level-Based Correct-Answer Rate)

  • 허난;양성현
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제32권3호
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    • pp.435-453
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    • 2018
  • 국가수준 학업성취도 평가의 결과 분석은 학교 현장에 교수 학습 측면에서 다양한 시사점을 제공해 줄 수 있다. 본 연구에서는 2009 개정 수학과 교육과정이 중학교 국가수준 학업성취도 평가에 적용된 2015년부터 2017년까지 3개년 동안의 국가수준 학업성취도 평가의 답지 반응 분포와 성취수준별(우수학력, 보통학력, 기초학력) 정답률 편차를 분석하였다. 우수학력 수준과 보통학력 수준, 보통학력 수준과 기초학력 수준 사이의 정답률 편차를 계산하고 편차의 누적백분율 제3사분위수 이상의 문항을 선별한 후, 내용 영역과 행동 영역은 무엇이며 이러한 문항들의 성취기준 및 특성들을 탐색하였다. 분석 결과를 토대로 성취수준별 교수 학습 방법에 대한 시사점을 도출하고자 하였다.

5, 6학년 학생들의 대표값에 대한 비형식적 개념 분석 (An Analysis of Informal Concepts of Average Found in Fifth and Sixth Graders)

  • 이춘재;전평국
    • 한국수학교육학회지시리즈A:수학교육
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    • 제45권3호
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    • pp.319-343
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    • 2006
  • The purpose of this study is to investigate how fifth and sixth graders recognize average and to find out suggestions for teaching/learning methods of average by examining which difference there is depending on the way of the word problem presentation. For the this purpose, was conducted experiment study with the way of the world problem presentation set up as experimental treatment. The conclusions drawn from the results obtained in the this study were as follows : First, since students who did not learn the regular course of average had various informal concepts already, it is needed to consider handling more various concepts of average in order to enable students to expand flexible thoughts. Second, compared with fifth and sixth graders showed a wide difference in informal concepts of average depending on the way of the word problem presentation. In expect data with given average, concepts of mean as algorithm, balance point, and mode indicated similar percentage, while in estimate average with given data, the percentage of students who showed the concept of mean was very high at 67.6%. That may be because problems related to mean in the current textbooks are items of 'estimate average with given data', so in types of 'estimate average with given data', students solve questions with mean as algorithm without considering situations of problems. This result suggests that it is necessary to diversify the way of the word problem presentation even in textbooks. Third, as a result of analyzing informal concepts of average, there was significant difference in grades. In addition, the results suggested that there would be difference in the concepts of average depending on gender or attributes of discrete quantity and continuous quantity.

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수학 영재교육에 있어 웹 기반 협동학습의 적용 가능성 탐색 : 웹 기반 구조적 의사교류법을 중심으로 (A Exploration of Web-Based Collaborative Learning for the Gifted Education on Mathematics : Web-Based Structural Communication)

  • 박은영
    • 영재교육연구
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    • 제11권3호
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    • pp.45-68
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    • 2001
  • 영재들의 잠재 능력을 최대한으로 발현시키기 위해서는 영재들의 일반적인 인지적.정의적 특성 및 다양한 학습 요구를 반영할 수 있는 최적의 학습 환경, 즉 구성주의 학습 환경을 제공해줄 필요가 있다. 이를 위해 본 연구에서는 구성주의 원리에 바탕을 둔 협동학습 방안을 탐색하기 위해 ‘웹 기반 구조적 의사교류법 (Web-Based Structural Communication)’을 활용하여 고등학교 수학 영재들의 ‘2$\times$2행렬’학습 프로그램을 개발하고자 하였다. 최근 급속도로 발전하고 있는 컴퓨터 공학과 네트워크 및 인터넷의 보급으로 ‘구조적 의사교류법’의 활용 가능성 및 효율성이 그 어느 때 보다도 크게 기대된다. 특히 웹을 통한 상조적 협동학습은 학습자들로 하여금 지식 구성의 과정을 경험하게 하여, 결과적으로 객관적이고 다양한 관점을 지니게 되는 학습 활동을 구현할 수 있는 대표적인 학습도구로 활용될 수 있을 것이다. 그러나 본 연구에서는 ‘웹 기반 구조적 의사교류법’의 적용 가능성을 탐색하고자 프로그램을 개발하는데 목적이 있기에, 이 프로그램의 구체적 효과에 관해서는 앞으로 계속적인 연구가 필요하리라 여겨진다.

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Flow interference between two tripped cylinders

  • Alam, Md. Mahbub;Kim, Sangil;Maiti, Dilip Kumar
    • Wind and Structures
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    • 제23권2호
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    • pp.109-125
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    • 2016
  • Flow interference is investigated between two tripped cylinders of identical diameter D at stagger angle ${\alpha}=0^{\circ}{\sim}180^{\circ}$ and gap spacing ratio $P^*$ (= P/D) = 0.1 ~ 5, where ${\alpha}$ is the angle between the freestream velocity and the line connecting the cylinder centers, and P is the gap width between the cylinders. Two tripwires, each of diameter 0.1D, were attached on each cylinder at azimuthal angle ${\beta}={\pm}30^{\circ}$, respectively. Time-mean drag coefficient ($C_D$) and fluctuating drag ($C_{Df}$) and lift ($C_{Lf}$) coefficients on the two tripped cylinders were measured and compared with those on plain cylinders. We also conducted surface pressure measurements to assimilate the fluid dynamics around the cylinders. $C_D$, $C_{Df}$ and $C_{Lf}$ all for the plain cylinders are strong function of ${\alpha}$ and $P^*$ due to strong mutual interference between the cylinders, connected to six interactions (Alam and Meyer 2011), namely boundary layer and cylinder, shear-layer/wake and cylinder, shear layer and shear layer, vortex and cylinder, vortex and shear layer, and vortex and vortex interactions. $C_D$, $C_{Df}$ and $C_{Lf}$ are very large for vortex and cylinder, vortex and shear layer, and vortex and vortex interactions, i.e., the interactions where vortex is involved. On the other hand, the interference as well as the strong interactions involving vortices is suppressed for the tripped cylinders, resulting in insignificant variations in $C_D$, $C_{Df}$ and $C_{Lf}$ with ${\alpha}$ and $P^*$. In most of the (${\alpha}$, $P^*$ ) region, the suppressions in $C_D$, $C_{Df}$ and $C_{Lf}$ are about 58%, 65% and 85%, respectively, with maximum suppressions 60%, 80% and 90%.

중등 정보과학 영재 사사지도 행렬중심 교수학습 자료 개발 (Development of a Matrix-focused Instructional Materials for Personal Education for the Gifted Middle School Students of Computer Science)

  • 이형봉
    • 한국컴퓨터정보학회논문지
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    • 제16권12호
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    • pp.139-155
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    • 2011
  • 최근 몇 년 사이, 학부모는 물론 국가 차원에서 영재 교육에 대한 관심이 높아짐에 따라 영재 교육에 관한 많은 연구들이 발표되고 있다. 그러나, 그들 대부분의 초점이 개괄적이고 총론적인 관점에서 영재 교육 프로그램의 구축, 운영, 관리, 평가 등에 있고, 정작 교육 프로그램의 성패와 직결되는 구체적인 교수학습 주제를 다루는 연구는 극히 드물다. 오늘날 영재교육의 필요성이나 효율성이 재론되고 있는 원인 중의 하나는바로 영재 교육의 특수성들이 고려된 영역별 훌륭한 교육 시나리오의 빈곤에 있음을 부인할 수 없다. 따라서, 이 연구에서는 중등 정보과학 영재 사사 지도과정에서 적용되었던 탐구 내용을 소개함으로써 정보분야 영재교육을 위한 교수학습 자료 개발에 작은 보탬이 되고자한다. '컴퓨터과학에서 행렬의 필요성과 활용'이란 주제의 이 교수학습 자료는 중등 수학의 1차 연립방정식 풀이 과정을 기반으로 창의적 문제 발견 및 해결을 유도하도록 구성되었고, 수학과 컴퓨터 과학과의 긴밀한 연계성 및 선형대수학의 기초 개념 이해에도 유익하다.

영아 수학적 탐색활동 지원을 위한 구성주의 교사교육프로그램이 영아교사의 수학지도 관련 변인에 미치는 효과 (Effects of Constructivism-Based Teacher Education Program for Supporting Infant's Mathematical Inquiry Activity on Variables Related to Infant Teacher's Mathematics Teaching)

  • 고은지;김지현
    • Human Ecology Research
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    • 제58권1호
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    • pp.105-120
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    • 2020
  • This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.

Experimental study on wake-induced vibrations of two circular cylinders with two degrees of freedom

  • Du, Xiaoqing;Jiang, Benjian;Dai, Chin;Wang, Guoyan;Chen, Suren
    • Wind and Structures
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    • 제26권2호
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    • pp.57-68
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    • 2018
  • Wind tunnel tests are conducted to investigate wake-induced vibrations of two circular cylinders with a center-to-center spacing of 4 diameters and attack angle varying from $0^{\circ}$ to $20^{\circ}$ for Reynolds numbers between 18,000 and 168,800. Effects of structural damping, Reynolds number, attack angle and reduced velocity on dynamic responses are examined. Results show that wake-induced vortex vibrations of the downstream cylinder occur in a wider range of the reduced velocity and have higher amplitudes in comparison to the vortex-induced vibration of a single circular cylinder. Two types of wake-induced instability phenomena with distinct dynamic characteristics are observed, which may be due to different generation mechanisms. For small attack angles like $5^{\circ}$ and $10^{\circ}$, the instability of the downstream cylinder characterizes a one-degree-of-freedom (1-DOF) oscillation moving in the across-wind direction. For a large attack angle like $20^{\circ}$, the instability characterizes a two-degree-of-freedom (2-DOF) oscillation with elliptical trajectories. For an attack angle of $15^{\circ}$, the instability can transform from the 1-DOF pattern to the 2-DOF one with the increase of the Reynolds number. Furthermore, the two instabilities show different sensitivity to the structural damping. The 1-DOF instability can be either completely suppressed or reduced to an unsteady oscillation, while the 2-DOF one is relatively less sensitive to the damping level. Reynolds number has important effects on the wake-induced instabilities.

Fermentation Characteristics and Microbial Diversity of Tropical Grass-legumes Silages

  • Ridwan, Roni;Rusmana, Iman;Widyastuti, Yantyati;Wiryawan, Komang G.;Prasetya, Bambang;Sakamoto, Mitsuo;Ohkuma, Moriya
    • Asian-Australasian Journal of Animal Sciences
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    • 제28권4호
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    • pp.511-518
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    • 2015
  • Calliandra calothyrsus preserved in silage is an alternative method for improving the crude protein content of feeds for sustainable ruminant production. The aim of this research was to evaluate the quality of silage which contained different levels of C. calothyrsus by examining the fermentation characteristics and microbial diversity. Silage was made in a completely randomized design consisting of five treatments with three replications i.e.: R0, Pennisetum purpureum 100%; R1, P. purpureum 75%+C. calothyrsus 25%;, R2, P. purpureum 50%+C. calothyrsus 50%; R3, P. purpureum 25%+C. calothyrsus 75%; and R4, C. calothyrsus 100%. All silages were prepared using plastic jar silos (600 g) and incubated at room temperature for 30 days. Silages were analyzed for fermentation characteristics and microbial diversity. Increased levels of C. calothyrsus in silage had a significant effect (p<0.01) on the fermentation characteristics. The microbial diversity index decreased and activity was inhibited with increasing levels of C. calothyrsus. The microbial community indicated that there was a population of Lactobacillus plantarum, L. casei, L. brevis, Lactococcus lactis, Chryseobacterium sp., and uncultured bacteria. The result confirmed that silage with a combination of grass and C. calothyrsus had good fermentation characteristics and microbial communities were dominated by L. plantarum.

학습부진아 연산능력향상을 위한 모바일 어플 설계 및 구현 (Design and Implementation of a Mobile Application to Improve Arithmetical Operations for Low Achievers)

  • 최효정;전우천
    • 정보교육학회논문지
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    • 제17권1호
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    • pp.9-21
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    • 2013
  • 본 연구의 목적은 학습 부진아의 연산능력 향상을 위한 스마트 폰 기반 모바일 어플 시스템을 설계 및 구현하는 것이다. 본 시스템의 특징은, 첫째, 학습자의 수준에 맞는 개별화된 학습이 이루어지는 스마트폰기반 시스템이다. 둘째, 학습자들의 동기를 지속시키기 위하여 즉각적인 피드백이 제공된다. 셋째, 연산능력은 꾸준한 연습을 통하여 향상시킬 수 있다는 것에 중점을 둔 지속적이고 반복적인 학습이 가능한 시스템이다. 구현된 본 교육시스템을 초등학교 6학년 수학 학습 부진아에게 적용시킨 결과는 다음과 같다. 첫째, 본 시스템을 활용하여 연산학습을 하는 것에 흥미를 느꼈으며 학습에 대한 내재적 동기가 유발되었다. 둘째, 연산속도가 빨라지고 연산의 정확도가 높아지는 등 학습자의 연산능력이 향상되었다.

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SINGULAR INNER FUNCTIONS OF $L^{1}-TYPE$

  • Izuchi, Keiji;Niwa, Norio
    • 대한수학회지
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    • 제36권4호
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    • pp.787-811
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    • 1999
  • Let M be the maximal ideal space of the Banach algebra $H^{\infty}$ of bounded analytic functions on the open unit disc $\triangle$. For a positive singular measure ${\mu}\;on\;{\partial\triangle},\;let\;{L_{+}}^1(\mu)$ be the set of measures v with $0\;{\leq}\;{\nu}\;{\ll}\;{\mu}\;and\;{{\psi}_{\nu}}$ the associated singular inner functions. Let $R(\mu)\;and\;R_0(\mu)$ be the union sets of $\{$\mid$\psiv$\mid$\;<\;1\}\;and\;\{$\mid${\psi}_{\nu}$\mid$\;<\;0\}\;in\;M\;{\setminus}\;{\triangle},\;{\nu}\;\in\;{L_{+}}^1(\mu)$, respectively. It is proved that if $S(\mu)\;=\;{\partial\triangle}$, where $S(\mu)$ is the closed support set of $\mu$, then $R(\mu)\;=\;R0(\mu)\;=\;M{\setminus}({\triangle}\;{\cup}\;M(L^{\infty}(\partial\triangle)))$ is generated by $H^{\infty}\;and\;\overline{\psi_{\nu}},\;{\nu}\;{\in}\;{L_1}^{+}(\mu)$. It is proved that %d{\theta}(S(\mu))\;=\;0$ if and only if there exists as Blaschke product b with zeros $\{Zn\}_n$ such that $R(\mu)\;{\subset}\;{$\mid$b$\mid$\;<\;1}\;and\;S(\mu)$ coincides with the set of cluster points of $\{Zn\}_n$. While, we proved that $\mu$ is a sum of finitely many point measure such that $R(\mu)\;{\subset}\;\{$\mid${\psi}_{\lambda}$\mid$\;<\;1}\;and\;S(\lambda)\;=\;S(\mu)$. Also it is studied conditions on \mu for which $R(\mu)\;=\;R0(\mu)$.

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