• School Mathematics
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• v.16 no.1
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• pp.111-133
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• 2014

This study aims to explore mathematical belief system and core belief factors to be found. The mathematical belief system becomes an auto regulation device for students' using mathematical knowledge in mathematical situations and provides them with the context to perceive and understand mathematics. They have individual mathematical beliefs for each of mathematics subject, mathematical problem solving, mathematical teaching and learning and self-concept, and these beliefs of students construct mathematical belief system according to mutual relationships among the mathematical beliefs. Using correlation analysis and multiple regression, mathematical belief system was structuralized and core belief factors were found. Mathematical belief system is structuralized and, as a result the core belief factors that are psychological centrality of high school students' mathematical belief system are found to be persistence, challenge, confidence and enjoyment. These core belief factors are formed on the basis of personal experiences and they are personal primitive beliefs that cannot be changed with ease and cannot be shared with other people but they are related with many other beliefs influencing them.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.485-506
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• 2020

The purpose of this study is to analyze of the effect in Mathematics Teachers beliefs on their students beliefs by Latent Class Regression Model (LCRM). For this analysis, the study used the findings and surveys of Kang, Hong (2020) who developed a belief profile by analyzing the mathematical beliefs of 60 high school teachers and 1,850 second-year high school students learning from them through the Latent Class Analysis (LCA). As a result It was observed that 'Nature of Mathematics', 'Mathematic Teaching' and 'Mathematical Ability' of mathematics teachers beliefs influence the mathematical beliefs of students. The teacher's belief of 'Nature of Mathematics' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Mathematics Learning'. The teacher's belief of 'Teaching Mathematics', 'Mathematical Ability' statistically significant effects on students' beliefs in 'School Mathematics', 'Problem Solving', 'Self-Concept'. The results of this study can give a preview of the phenomenon in which teacher's mathematical beliefs are reproduced into student's mathematical beliefs. In addition, the results of observation of this study can be used to the contents that can achieve the purpose of reorientation for mathematics teachers.

• Communications of Mathematical Education
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• v.14
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• pp.371-394
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• 2001

교사 교육기관에서 교육을 받고 있는 예비 수학교사들의 교수-학습에 대한 신념은 주로 초, 중, 고등학교를 다니면서 수학 교사와의 상호작용과 긍정적 혹은 부정적인 경험에 의해서 형성되어져 있다. 이러한 신념은 결국 사범대학에서의 교육을 받으면서 지식의 습득 과정에 영향을 미치게 된다. 따라서 예비수학교사들이 가지고 있는 수학의 교수-학습에 대한 신념을 조사하는 것은 이들이 기존에 가지고 있는 신념에 대한 반성의 기회를 제공하게 되어 바람직한 신념형성 및 장차 교사가 되었을 때 수학교실에서의 교수-학습의 새로운 전환에 도움이 될 것이다. 그리고 이들의 신념을 조사, 연구하는 것은 현재 수학과 교사 교육기관에서 이루어지고 있는 교수와 학습에 대한 질을 개선하는데 도움이 될 것이다.

• Journal of Science Education
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• v.37 no.2
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• pp.389-404
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• 2013

This study aimed to explore elementary teachers' beliefs about science teaching, science learning and the nature of science and consistency among these beliefs. Data was collected by using an open questionnaire and semi-structured individual interview. Teachers' beliefs were classified as traditional beliefs and constructivist beliefs. Traditional beliefs were further divided into content knowledge-centered beliefs and procedural knowledge-centered beliefs. The result showed that a relatively large number of teachers among the total 30 teachers had traditional beliefs about science teaching, science learning, and the nature of science(respectively 60.0%, 66.7%, 83.3%). Most of traditional beliefs were identified as content knowledge-centered beliefs. The proportion of teachers with consistent beliefs for all three aspects was 40.0%, the proportion of those with consistent beliefs for two of them (those with related beliefs) was 53.3%, the proportion of those with different beliefs for them (those with divergent belief) was 6.7%. Most of the teachers with the consistent beliefs had the content knowledge-centered beliefs of traditional beliefs. Although constructivism has been widely emphasized in science education from the 1980's, the rate of the teachers with the consistent beliefs in constructivism was as low as 6.7%.

• School Mathematics
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• v.10 no.4
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• pp.649-669
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• 2008

The study focuses on what to consider and do for the improvement of math education of Korea by comparing two general high school students' and two specialized high school students' beliefs about mathematics and mathematics learning. The major topics compared in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics. The results of the study show that two general high school students tend to set more low value on mathematics, especially in the value of implement, civilization, utility of mathematics than that of two specialized high school students.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.377-411
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• 2021

This study aims to explore central and peripheral beliefs of mathematics teachers in the context of teaching and learning. For this purpose, this study analyzed teacher noticing of 8 mathematics teachers who are in-service in terms of mathematical beliefs using video-clips of math lessons. When the teachers in the video-clips seemed to have a teaching and learning problem, teachers who adopt noticing critized the classroom situation by reflecting his or her own mathematical beliefs and suggested alternatives. In addition, through noticing analysis, teachers' mathematical beliefs reflected in specific topics such as student participation in teaching and learning were compared to reveal their individual central and peripheral beliefs. Through these research results, this study proposed a model that extracts the central and peripheral beliefs of math teachers from the constraints of the teaching and learning context using noticing analysis. Additionally, it was possible to observe the teacher decision-making and expertise of mathematics teachers.

• Communications of Mathematical Education
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• v.11
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• pp.85-105
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• 2001

본 연구는 수학 교육에 관심이 많은 초등학교 ‘초보 교사’와 ‘경력이 많은 교사’의 수학에 대한 신념과 신념 형성의 주요 요인을 조사하였다. 그리고 교사의 수학에 대한 신념이 교수 실제에 반영되는 정도가 초보 교사와 경력이 많은 교사간에는 어떻게 차이가 나는지를 알아보았다. 또한 신념이 실제에 반영되지 못하는 주요 요인을 조사함으로써 교수 실제를 변화시킬 수 있는 근거를 마련하고자 하였다. 이러한 목적을 달성하기 위하여 ‘초보 교사’와 ‘경력이 많은 교사’ 각 한 명씩을 선정하여 불변의 비교 분석에 기초한 질적 사례 연구를 실시하였다. 그 결과 ‘초보 교사’와 ‘경력이 많은 교사’ 모두 비슷한 신념을 가지고 있었으나, 그러한 신념이 형성된 주요 요인은 달랐다. 그리고 신념이 교수 실제에 반영된 정도에서도 차이를 보였으나, 반영시키지 못하는 주요 요인은 환경적인 요인보다는 교사 자신의 의지 부족이라는 공통된 의견을 보였다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2017.07a
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• pp.221-222
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• 2017

본 논문에서는 문헌 고찰과 전문가 검증을 통해 정보 교사가 가지는 신념을 정의하고 신념 체계의 범주화를 위한 준거를 분석하였다. 신념은 대상에 대해 개인이 가지고 있는 정보를 뜻하는 개념으로 개인의 지식 체계를 구성하고 개인의 행동을 특정 방향으로 유도하는 성향을 가진다. 따라서 정보 교육에 대한 정보 교사의 신념은 정보 교육의 목적과 성격, 교수 방법이나 학습 방법 등을 내면화하고 교육적 행위를 결정하는데 큰 영향을 주게 된다. 본 연구의 결과는 정보 교육에 대한 정보 교사의 신념 형성요인 및 신념 형성 과정 분석을 위한 후속 연구의 이론적 기초를 제공할 것이다.

• 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.

• Journal of Engineering Education Research
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• v.16 no.2
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• pp.50-57
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• 2013

The study to improve engineering students' performance in studying physics lacked despite of the importance of studying physics in engineering education. The cognitive belief and the motivational belief in studying physics had a strong effect on studying physics. The purpose of this study was to seek the educational way through comparing professors' expectations with students' beliefs about the cognitive belief and the motivational belief in studying physics. The cognitive belief in studying physics was considered as variables like 'knowledge', 'learning' and 'relation'. The motivational belief in studying physics was considered as variables like 'expectancy' and 'value'. It was the 'expectancy' that was the most different dimension between professors' expectations and students' beliefs. It means that students have little confidence in their abilities to study physics, though professors expect their students to be confident. Professor who teaches physics to engineering students recognize these differences, need to have interest in affective domains of beliefs to teach. In addition, there is need to teaching and learning strategies that can lead engineering students' beliefs about ability to perform the task, the purpose, importance, interesting for physics.