• Journal of the Korean School Mathematics Society
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• v.10 no.1
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• pp.27-43
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• 2007

The aim of this paper is to develop a web-based learning system in order to motivate college students in the area of science and engineering to study college calculus. We designed and developed web-based contents, named MathBooster, using Mathematica, webMathematica and phpMath taking advantages of rapid computation and symbolic computation. The features of MathBooster consists of four parts: graphical representation of calculus concepts, textual illustrations of conceptual understanding, example-based step-by-step learning with phpMath, and quizzes with diagnostic feedback. After the MathBooster was practiced with engineering students, the formative evaluation was conducted with survey items composed in four categories: user responses, screen layout, practicing examples and diagnostic feedback in solving quizzes. The overall level of user satisfaction was statistically measured using SPSS. Those results indicate which parts of MathBooster are needed for future enhancement.

• Honam Mathematical Journal
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• v.37 no.2
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• pp.253-264
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• 2015

In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space $G_3$. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.209-222
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• 2006

Estimation of the spectral measure, covariance and spectral density functions of a strictly stationary r-vector valued time series is considered, under the assumption that some of the observations are missed. The modified periodograms are calculated using data window. The asymptotic normality is studied.

• Journal of applied mathematics & informatics
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• v.36 no.5_6
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• pp.447-458
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• 2018

In this paper, we investigate the uniqueness problems of certain types of difference polynomials sharing a small function. The results of the paper improve and generalize the recent results due to H.P. Waghamore [Tbilisi Math. J. 11(2018), 1-13], P. Sahoo and B. Saha [App. Math. E-Notes. 16(2016), 33-44].

• Journal of Integrative Natural Science
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• v.5 no.1
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• pp.38-41
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• 2012

In this paper we show that for any triangle and any point on the circumcircle the envelope of the Wallace-Simson lines with signed angle ${\alpha}$ is a parabola. The proof is obtained naturally using polar coordinates. We also present the reparametrization of the envelope which is a linear normal curve.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.14 no.3
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• pp.962-975
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• 2020

The accurate segmentation of infant brain MR image into white matter (WM), gray matter (GM), and cerebrospinal fluid (CSF) is very important for early studying of brain growing patterns and morphological changes in neurodevelopmental disorders. Because of inherent myelination and maturation process, the WM and GM of babies (between 6 and 9 months of age) exhibit similar intensity levels in both T1-weighted (T1w) and T2-weighted (T2w) MR images in the isointense phase, which makes brain tissue segmentation very difficult. We propose a deep network architecture based on U-Net, called Triple Residual Multiscale Fully Convolutional Network (TRMFCN), whose structure exists three gates of input and inserts two blocks: residual multiscale block and concatenate block. We solved some difficulties and completed the segmentation task with the model. Our model outperforms the U-Net and some cutting-edge deep networks based on U-Net in evaluation of WM, GM and CSF. The data set we used for training and testing comes from iSeg-2017 challenge (http://iseg2017.web.unc.edu).

• Journal of Information Processing Systems
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• v.14 no.3
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• pp.590-599
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• 2018

Multivariate finite mixture model is becoming more and more popular in image processing. Performing image denoising from image patches to the whole image has been widely studied and applied. However, there remains a problem that the structure information is always ignored when transforming the patch into the vector form. In this paper, we study the operator which extracts patches from image and then transforms them to the vector form. Then, we find that some pixels which should be continuous in the image patches are discontinuous in the vector. Due to the poor anti-noise and the loss of structure information, we propose a new operator which may keep more information when extracting image patches. We compare the new operator with the old one by performing image denoising in Expected Patch Log Likelihood (EPLL) method, and we obtain better results in both visual effect and the value of PSNR.

• Korean Journal of Human Ecology
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• v.9 no.1
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• pp.1-12
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• 2000

이 프로젝트는 미국의 소수민족학생들의 과학과 수학의 수행능력과 흥미를 갖도록 혁신적인 교육전략을 개발하기 위한 준 실험설계연구이다. 연구대상은 중학교 7학년과 8학년 학생으로, 과학과 수학에 흥미가 있고 성적이 우수하며, 신체적으로나 기능적으로 장애가 있고, 소수민족이고, 경제적으로 빈곤한 계층이며 여학생을 우선조건으로 실험집단 52명, 비교집단 28명이 무선표집되었다. 연구대상 대부분(72명)이 흑인이고, 나머지(8명)는 히스파니아인이다. 연구내용은 1) 방과후 학술활동 2) 사회적 기술활동 3) 현장학습 4) 가족지원 프로그램을 실험집단에 실시한 후 실험집단과 비교집단의 학업성취도와 실험집단의 자아개념과 프로젝트 활동에 대한 평가를 분석한 것이며, 다음과 같은 연구결과를 얻었다. 1. 학업성취에 있어서 실험집단의 과학성적(CRT)이 통계적으로 비교집단보다 유의한 증가를 보였고, 프로젝트의 목표를 초과달성하였다. 비교집단도 자연적 성숙효과로 증가를 보였으나 유의도는 실험집단보다 낮았다. 2. 학생들의 프로젝트에 대한 평가는 긍정적이었다. 프로젝트 목적과 명확성, 현장학습의 적절성, 게임이나 학술활동보다 현장학습의 선호, 특히 자아존중감 활동이 많은 도움이 되었다고 보고하였다. 3. 실험집단의 자아개념은 프로젝트 기간동안 통계적으로 유의한 증가를 보였으나 학업 성취와의 상관관계는 유의하지 않았다. 이상의 연구결과를 토대로 이 프로젝트의 한국적 상황의 적용에 대한 시사점을 얻을 수 있었다.

• (The) Korean Journal of Educational Psychology
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• v.23 no.3
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• pp.543-560
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• 2009

The purpose of this study was to identify the proper identification method of the gifted students in math and science. The subjects were 6,237 students from 3rd to 7th graders. The subjects took nation-wide tests which were made for identifying the gifted students. The tests were composed of creativity, thinking skill, and academic achievement in math and science. The results of this study were as follows; First, creativity and thinking skill were positively correlated with the academic achievements. Specially, the academic achievement of science was positively correlated with the all of the sub-factors of creativity and thinking skill variables. Second, the influential power of each variable differed depending on the identification methods. Also, group 1, which was considered all variables such as, creativity, thinking skill, and academic achievement, was the most proper way to identifying the top 1% students from the subjects. These results implies the variables of creativity, thinking skill, and academic achievement have to consider identifying the gifted students in math and science.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.465-484
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• 2020

The purpose of this study was to prove the effect of Mathematics field experience trip program on students' attitude in learning Mathematics. For this we developed Jejumok-Gwanna Math-Tour program in 2019 for students which would make them to walk and experience mathematics in the field. In that program, we suggested several Mathematics examples about natural objects and artifacts in Jejumok-Gwanna. After that, we let A middle school students within Jeju to experience this program in order to see the effect of this program. We asked participants to write pre- and past- questionnaire, have an interview, and write review. After analyzing those, this study concluded that the effect of Jejumok-Gwanna Math-Tour on student's attitude in learning mathematics was statically significant. The result of this study suggested that Mathematics Field Experience Study Program could be useful to improve student's attitude in learning mathematics.