• 제목/요약/키워드: Confidence with Mathematics

검색결과 142건 처리시간 0.023초

A Method for Service Evaluation Based on Fuzzy Theory for Cloud Computing

  • Guo, Liangmin;Luo, Yonglong;He, Xiaokang;Hu, Guiyin;Dong, Yan
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제11권4호
    • /
    • pp.1820-1840
    • /
    • 2017
  • Aiming at the phenomenon of false information issued by service providers in cloud computing environment, a method for service evaluation based on fuzzy theory is put forward in this paper. According to the quality of services provided by cloud service providers and their behavior during interactions, a trust relationship between cloud service providers and cloud service consumers is established, which can be quantified by using fuzzy theory. The quality of services is evaluated by drawing on the trust relationship. In our method, the recommendation credibility of a cloud service consumer is determined through behavior similarity with evaluators and a praise factor. The introduction of the praise factor better suits the phenomenon of a high-quality service getting more repeat customers. The negative impact of dishonest customers is reduced, and the accuracy of trust and cloud service quality evaluation is improved by introducing a confidence factor that can be dynamically adjusted. The experimental results show that our method can effectively and accurately evaluate the trust value and service quality of providers, while weakening the influence of dishonest consumers, and quickly detect dishonest service providers. This is beneficial for consumers trying to find high quality service providers for similar services.

통계적 추정을 가르치기 위한 수학적 지식(MKT)의 분석 (An analysis of Mathematical Knowledge for Teaching of statistical estimation)

  • 최민정;이종학;김원경
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제55권3호
    • /
    • pp.317-334
    • /
    • 2016
  • Knowledge and data interpretation on statistical estimation was important to have statistical literacy that current curriculum was said not to satisfy. The author investigated mathematics teachers' MKT on statistical estimation concerning interpretation of confidence interval by using questionnaire and interview. SMK of teachers' confidence was limited to the area of textbooks to be difficult to interpret data of real life context. Most of teachers wrongly understood SMK of interpretation of confidence interval to have influence upon PCK making correction of students' wrong concept. SMK of samples and sampling distribution that were basic concept of reliability and confidence interval cognized representation of samples rather exactly not to understand importance and value of not only variability but also size of the sample exactly, and not to cognize appropriateness and needs of each stage from sampling to confidence interval estimation to have great difficulty at proper teaching of statistical estimation. PCK that had teaching method had problem of a lot of misconception. MKT of sample and sampling distribution that interpreted confidence interval had almost no relation with teachers' experience to require opportunity for development of teacher professionalism. Therefore, teachers were asked to estimate statistic and to get confidence interval and to understand concept of the sample and think much of not only relationship of each concept but also validity of estimated values, and to have knowledge enough to interpret data of real life contexts, and to think and discuss students' concepts. So, textbooks should introduce actual concepts at real life context to make use of exact orthography and to let teachers be reeducated for development of professionalism.

직관을 통한 수학교육에 관한 고찰 (A Study on the Mathematics Education via Intuition)

  • 이대현
    • 한국수학사학회지
    • /
    • 제28권5호
    • /
    • pp.263-278
    • /
    • 2015
  • As intuition is more unreliable than logic or reason, its studies in mathematics and mathematics education have not been done that much. But it has played an important role in the invention and development of mathematics with logic. So, it is necessary to recognize and explore the value of intuition in mathematics education. In this paper, I investigate the function and role of intuition in terms of mathematical learning and problem solving. Especially, I discuss the positive and negative aspects of intuition with its characters. The intuitive acceptance is decided by self-evidence and confidence. In relation to the intuitive acceptance, it is discussed about the pedagogical problems and the role of intuitive thinking in terms of creative problem solving perspectives. Intuition is recognized as an innate ability that all people have. So, we have to concentrate on the mathematics education via intuition and the complementary between intuition and logic. For further research, I suggest the studies for the mathematics education via intuition for students' mathematical development.

Sequential Confidence Set of the Mean Vector of a Multivariate Distribution

  • Kim, Sung Lai
    • 충청수학회지
    • /
    • 제5권1호
    • /
    • pp.87-97
    • /
    • 1992
  • Sequential procedure with ${\beta}$-protection for the mean vector ${\mu}(\theta)$ of a p(> 1)-variate multivariate distribution $P_{\theta}$, ${\theta}{\in}{\Theta}$, with covariance matrix ${\sum}(\theta)$ is considered when the only nuisance parameters is ${\sum}(\theta)$. We obtain a confidence set for ${\mu}(\theta)$ with coverage probability condition and ${\beta}$-protection at ${\mu}-{\delta}(\mu)$ for some imprecision function ${\delta}:\mathbb{R}^p{\rightarrow}\mathbb{R}^p$.

  • PDF

활동중심 수업이 수학 학습부진아의 정의적 특성에 미치는 영향 (A study of the effect of activity oriented class about the character of the student with learning disability of the mathematics)

  • 김응환;최성은
    • 한국학교수학회논문집
    • /
    • 제9권2호
    • /
    • pp.209-227
    • /
    • 2006
  • 보통 학습에서의 실패는 누적된 학습 결손과 함께 학습동기와, 자신감, 태도, 습관 등의 정의적인 영역에서도 문제가 발생한다. 이 문제는 다음 학습에 더 큰 실패를 초래하고 계속되는 학습결손과 좌절감, 의욕 및 흥미상실을 가져오는 악순환을 이루게 된다. 본 연구에서는 학습부진아를 구제하기 위한 방안으로 학습결손을 보충하기 위한 활동중심수업을 시도하여, 이 활동중심 수업이 학생들의 정의적 영역에서 학습 부진학생들에게 어떤 영향을 주는가를 조사하였다. 활동수업에 참여한 학생들은 수학시간이 많이 기다려지고 수학 공부하는 것을 즐겁게 생각하는 것으로 나타났다. 학습동기에서는 타인에게 수학을 잘한다는 인정을 받고 싶어 하는 것으로 나타났다. 자신감에서는 학생 스스로 수학공부를 쉽게 생각하고 잘할 수 있을 꺼라 생각하며 수학시간에 배운 내용을 스스로 응용해 보고 싶어 하는 것으로 나타났다. 그 결과로 학습 부진아의 지도는 획일적인 수업이 아니라 다양하고 풍부한 수업환경을 제공하는 교실 내 수업변화가 중요한 방법 중의 하나임을 제안하였다. 그리고 현재의 학습결손의 보충의 의미만 있는 프로그램이 아니라 학습하는 방법 및 태도를 평소에 습득하게 할 수 있게 하는 적절한 프로그램의 개발이 필요함을 발견하였다.

  • PDF

Estimations for a Uniform Scale Parameter in the Presence of an Outlier

  • Woo, Jungsoo;Lee, Changsoo
    • Communications for Statistical Applications and Methods
    • /
    • 제6권2호
    • /
    • pp.611-620
    • /
    • 1999
  • We shall propose several estimators and confidence intervals for the scale parameter in a uniform distribution with the presence of a generalized uniform outlier and obtain mean squared errors(MSE) for their proposed estimators. And we shall compare numerical MSE's for the proposed several estimators of the scale parameter. Also we shall compare numerically expected lengths of confidence intervals of the scale parameter in a uniform distribution with the presence of a generalized uniform outlier.

  • PDF

Early childhood teacher's awareness for mathematics education and outdoor movement activity

  • Park, Jihee
    • International Journal of Advanced Culture Technology
    • /
    • 제8권2호
    • /
    • pp.204-208
    • /
    • 2020
  • The purpose of this study is to find out the teacher's awareness and needs for early childhood mathematics education and outdoor movement activities. The study participants were eight kindergarten teachers located in Korea. in-depth interviews were conducted with teachers on 2014.04. ~ 2014.07. Interviews were held twice each, semi-structured with the order and content of the questions adjusted. As a result of analyzing and categorizing the collected data, the results were 'Early teacher's awareness of mathematics education', 'Early teacher's awareness of outdoor movement activities', and 'Educational teacher's awareness of mathematics activities linked to outdoor movement activities'. The conclusions of this study are as follows. First, the model of early childhood teacher for mathematics education and outdoor movement should be presented. Second, there is a need for ways to improve the teacher's confidence in mathematics education and outdoor movement.

SEQUENTIAL INTERVAL ESTIMATION FOR THE EXPONENTIAL HAZARD RATE WHEN THE LOSS FUNCTION IS STRICTLY CONVEX

  • Jang, Yu Seon
    • Korean Journal of Mathematics
    • /
    • 제21권4호
    • /
    • pp.429-437
    • /
    • 2013
  • Let $X_1$, $X_2$, ${\cdots}$, $X_n$ be independent and identically distributed random variables having common exponential density with unknown mean ${\mu}$. In the sequential confidence interval estimation for the exponential hazard rate ${\theta}=1/{\mu}$, when the loss function is strictly convex, the following stopping rule is proposed with the half length d of prescribed confidence interval $I_n$ for the parameter ${\theta}$; ${\tau}$ = smallest integer n such that $n{\geq}z^2_{{\alpha}/2}\hat{\theta}^2/d^2+2$, where $\hat{\theta}=(n-1)\bar{X}{_n}^{-1}/n$ is the minimum risk estimator for ${\theta}$ and $z_{{\alpha}/2}$ is defined by $P({\mid}Z{\mid}{\leq}{\alpha}/2)=1-{\alpha}({\alpha}{\in}(0,1))$ Z ~ N(0, 1). For the confidence intervals $I_n$ which is required to satisfy $P({\theta}{\in}I_n){\geq}1-{\alpha}$. These estimated intervals $I_{\tau}$ have the asymptotic consistency of the sequential procedure; $$\lim_{d{\rightarrow}0}P({\theta}{\in}I_{\tau})=1-{\alpha}$$, where ${\alpha}{\in}(0,1)$ is given.

Sequential Confidence Interval with $\beta$-protection for a Linear Function of Two Normal Means

  • Kim, Sung-Lai
    • Journal of the Korean Statistical Society
    • /
    • 제26권3호
    • /
    • pp.309-317
    • /
    • 1997
  • A sequential procedure for estimating a linear function of two normal means which satisfies the two requirements, i.e. one is a condition of coverage probability, the other is a condition of $\beta$-protection, is proposed when the variances are unknown and not necessarily equal. We give asymptotic behaviors of the proposed stopping time.

  • PDF

수업과 연계한 수학 클리닉 상담 사례 연구 (A Case Study on Math Clinical Counseling based on Connection with Class)

  • 김홍겸;고호경
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제32권2호
    • /
    • pp.113-129
    • /
    • 2018
  • 근래 들어 수학 학습 부진아들을 위해 수학클리닉과 관련된 연구가 많이 수행되고 있지만 수학 수업과는 별개의 상담을 실시하거나 수학 학습 상담과는 무관한 기초학습 지도에 초점을 둔 연구가 대부분이다. 본 연구는 수학 학습 상담이 수학 수업과 무관할 수 없다는 관점에 따라 수학 클리닉 상담을 수업과 연계하여 실시하는 것에 중점을 두었다. 즉, 학생이 호소하는 인지적, 정의적, 수업 활동에서의 문제점을 수학 수업과 연계시키면서 수학 클리닉 상담을 통해 개입하는 사례를 보이고자 하였다.