• School Mathematics
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• v.18 no.3
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• pp.691-709
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• 2016

Understanding the belief of mathematics pre-service teachers is essential in conducting and designing the effective teacher education program. This study analyzed the mathematical belief of the elementary school pre-service teachers. The results of the study are as follows. First, persistence factor, which is the belief about solving mathematical problems, following teacher direction factor, which is the belief about mathematical studies, activity involvement factor, and interest factor, which is the belief about self-concept, showed much connection with other mathematical belief factors. Second, the stereotype factor, which is the belief about mathematics, are affecting the following teacher direction factor. The process factor, which is the belief about solving mathematical problems, are affecting the activity involvement factor. Third, as for the comparison of the mathematical beliefs according to grades, only the stereotype and usefulness factors, which are the beliefs about mathematics, and the benefit factor, which is the belief about self-concept, had statistically significant differences. Fourth, as for the comparison of the mathematical beliefs according to majors, all the mathematical beliefs except for the confidence factor and benefit factor, which is the belief about self-concept, had significant differences. Based on the results of this study, we need to establish the mathematical beliefs that the elementary school pre-service teachers should have, and prepare various measures such as education program for pre-service teachers and instruction-learning methods.

• East Asian mathematical journal
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• v.32 no.2
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• pp.175-192
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• 2016

This study aimed to understand the needs of changes in the teaching-learning environment in the university and to develop the liberal art subject of mathematics. The changes of mathematical belief in the university students were investigated to understand how the liberal art subject of mathematics affected them related to mathematics. Upon the study results, the significant changes were occurred from the utility factor on the subject of mathematics in mathematical belief, the importance factor of the answers in the teaching-learning belief, teaching activity factor of the teachers, and inborn capability factor in the belief on the self-concept. The meaningful learning environment and teaching method for the liberal art subject of mathematics are suggested further by these results.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.229-259
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• 2012

The purpose of the present study is to develop instrument of mathematical belief of middle school and high school students and to analysis results of test using the instrument. Based on the results of literature review, mathematical belief is the cumulative effects of self-assessment and self-concept in mathematical learning and achievement experience. Four sub-components of mathematical belief is identified belief of school mathematics, belief of mathematical problem solving, mathematical self-concept, belief of mathematical teaching and learning. The instrument was developed to investigate mathematical belief by reflecting Korean middle school and high school students' psychological characters. To develop the appropriate items for the mathematical belief, after reviewing literature thoroughly, first version of the instrument was developed and exploratory factor analysis and confirmatory factor analysis were conducted. Then, to reduce the effect of the gender difference and achievement level difference, Correlation Analysis and 1-way ANOVA was performed. Also, using multiple group confirmatory factor analysis, this instrument was investigated to see whether this can be used for both middle school and high school. The final items for middle school students is consisted 7 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 10 items of belief of mathematical teaching and learning. Instrument of mathematical belief for high school students is consisted 9 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 11 items of belief of mathematical teaching and learning. This study examined the differences about mathematical belief's sub-factors shown by three groups of mathematics achievement level. Students of higher achievement level showed that the degree of most factors ware the highest excepting stereotype of belief of school mathematics. Also, Male students preferred more positive in mathematics belief than female students.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.515-530
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• 2022

A factor graph and belief propagation can be used for finding stochastic values of link weights in biological networks. However it is not easy to follow the process of use and so we presented the process with a toy network of three nodes in our prior work. We extend this work more generally and present numerical example for a network of 100 nodes.

• Asian Pacific Journal of Cancer Prevention
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• v.17 no.1
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• pp.225-229
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• 2016

Background: It is important to validate scales related to cancer screening beliefs in order to better understand perceptions. The aim of this study was to test the psychometric properties of the colorectal cancer screening belief scale based on Health Belief Model (HBM) constructs. Materials and Methods: Data were collected from 600 persons referred to outpatient laboratory units in Iran through a convenience sampling procedure. In this cross-sectional study, exploratory and confirmatory factor analyses were used to examine construct validity of scale. Results: Through exploratory factor analysis, 52 items of the scale converged to five constructs of HBM with 4 items omission. Construct validity was determined by confirmatory factor analysis through which correlated model was supported. Cronbach's alpha coefficient for the whole scale was obtained as 0.78, which indicates reliability of the scale. Conclusions: The study findings showed that this scale is a valid and reliable instrument that can be used for measuring HBM constructs about colorectal cancer screening with the fecal occult blood test.

• Korean Journal of Culture and Social Issue
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• v.27 no.3
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• pp.285-303
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• 2021

The purpose of this study was to investigate the reliability and validity of the Korean version of the zero-sum belief scale among a sample of Korean adults. The original scale was developed by Różycka-Tran, Boski, and Wojciszke (2015) based on the Belief in a Zero-Sum Game (BZSG) model. A total of 508 participants (252 college students and 256 non-student adults) completed an online survey comprised of the scales of zero-sum belief, social trust, subjective socioeconomic status, individualistic-collectivistic tendencies, and social comparison orientation. Results of the exploratory factor analysis and the confirmatory factor analysis indicated that zero-sum belief scale has one factor. The internal consistency of the zero-sum belief scale was good. The Zero-sum belief scale did not have a significant relationship with social trust and subjective socioeconomic status. However, the scale was positively associated with vertical individualistic and vertical collectivistic tendencies and negatively associated with horizontal collectivistic tendencies. There was no significant relationship between zero-sum belief and horizontal individualistic tendencies, but there was a significant positive relationship between zero-sum belief and social comparison orientation. However, the results from the college student sample and the non-student adult sample were different. Lastly, this study could facilitate future research on zero-sum belief in South Korea, and future studies are needed to reveal the predictors and effects of zero-sum belief.

• Asian Pacific Journal of Cancer Prevention
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• v.15 no.11
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• pp.4595-4599
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• 2014

Background: Colorectal cancer is a serious health problem. Early detection of colorectal cancer is crucial for treatment and reducing mortality. Beliefs related to colorectal cancer have been found to be a factor in a person's decision about colorectal cancer screening programs. To determine such beliefs, a valid and reliable instrument is necessary. Objective:The aim of this study was to adapt and determine the psychometric properties of the Persian version of Champion's Health Belief Model Scale of breast cancer screening in the measurement of beliefs toward colorectal cancer (CRC) screening. Materials and Methods: The 'forward-backward' procedure was applied to translate the instrument from English into Persian. This study was conducted in Iran from June 2012 to May 2013. A convenience sample of 200 individuals aged 50 years and older was recruited from the population at the outpatient clinics in the three teaching hospitals. Validity was assessed using content, face and construct validity. To test reliability, the internal consistency was assessed by using Cronbach's alpha coefficient and test-retest (intraclass correlation coefficient) analyses. Exploratory factor analysis was used to assess the construct validity and determine the factors of adapted Champion's Health Belief Model Scale. Results: The mean age of the participants were 62.5 years (SD=10.8 years) and the majority of them (75.5 percent) were female. The results of exploratory factor analysis indicated a six-factor solution for the questionnaire (benefits, motivation and confidence, seriousness, susceptibility, emotional barriers and background barriers) that jointly accounted for 55.52% of variance observed. Cronbach's alpha of the subscales ranged from 0.57 to 0.89 and test-retest reliability ranged from 0.81 to 0.93 indicating a good range of reliability. Conclusions: The findings of this study suggest that the Persian version of Champion's Health Belief Model Scale of CRC screening has good psychometric properties and could be an appropriate measure for health beliefs related to CRC screening in national and international studies.

• Journal of Korea Society of Digital Industry and Information Management
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• v.11 no.3
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• pp.45-51
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• 2015

In this paper, we discuss the belief propagation decoding algorithm for polar codes. The performance of Polar codes for shorter lengths is not satisfactory. Motivated by this, we propose a novel technique to improve its performance at short lengths. We showed that the probability of messages passed along the factor graph of polar codes, can be increased by multiplying the current message of nodes with their previous message. This is like a feedback path in which the present signal is updated by multiplying with its previous signal. Thus the experimental results show that performance of belief propagation polar decoder can be improved using this proposed technique. Simulation results in binary-input additive white Gaussian noise channel (BI-AWGNC) show that the proposed belief propagation polar decoder can provide significant gain of 2 dB over the original belief propagation polar decoder with code rate 0.5 and code length 128 at the bit error rate (BER) of $10^{-4}$.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.48 no.2
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• pp.88-95
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• 2011

Stereo matching is the research area that regarding the estimation of the distance between objects and camera using different view points and it still needs lot of improvements in aspects of speed and accuracy. This paper presents a fast stereo matching algorithm based on plane-converging belief propagation that uses message passing convergence in hierarchical belief propagation. Also, stereo matching technique is developed using GPU and it is available for real-time applications. The error rate of proposed Plane-converging Belief Propagation algorithm is similar to the conventional Hierarchical Belief Propagation algorithm, while speed-up factor reaches 2.7 times.

• Culinary science and hospitality research
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• v.14 no.2
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• pp.205-214
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• 2008

The purpose of this study was to measure the moderating effect of belief homogeneity on the relation-ships among attitudinal ambivalence, behavior intention and consumption behavior. The questionnaire, which consisted of items to measure the constructs of belief homogeneity, attitudinal ambivalence, behavior intention and consumption behavior, were completed by 338 subjects in Jeonnam area. Moderated regression analysis was used to measure the moderating effect of belief homogeneity. To test validity and reliability of constructs, factor analysis and Cronbach's $\alpha$ were used in this study. Results of the study demonstrated that the moderated regression analysis result for the data also indicated a better model fit in Model 2 than Model 1. In the Model 1, the main effects of behavior intention and attitudinal ambivalence on consumption behavior were statistically significant. In the Model 2, the main effects of behavior intention, belief homogeneity and attitudinal ambivalence on consumption behavior were statistically significant. The interactional effects of belief homogeneity$\times$attitudinal ambivalence on consumption behavior were statistically significant. Moreover, the effects of attitudinal ambivalence on consumption behavior were statistically significant at all levels of belief homogeneity, except for when homogeneity was high.