• East Asian mathematical journal
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• 제36권2호
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• pp.203-227
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• 2020

This study is observed in this paper that how the mathematical beliefs of elementary pre-service teachers are reflected in planning and implementing actual mathematics classes. The subjects for this study are senior students at the university of education. After examining their mathematical beliefs and analyzing their actual mathematics classes in a teaching practicum, the following conclusions are drawn. First, the mathematical beliefs of elementary pre-service teachers have generally shown in a similar tendency. The beliefs formed by the students' experience and the beliefs established in the course of preparing to become teachers have coexisted. Second, the teachers' belief in learning mathematics and the teaching practices are largely inconsistent. Third, when elementary pre-service teachers plan and implement their mathematic classes, they are influenced by their guidance teachers and students as well as their own mathematical beliefs.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제22권1호
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• pp.47-82
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• 2019

Pennsylvania is one of the states that adopted the Common Core State Standards for Mathematics (CCSSM) and crafted its own standards (The PA Core State Standards). Pennsylvania teachers are required to have a clear understanding of the PA Core Standards. It is timely and appropriate to study Pennsylvania teachers' beliefs, as the standards have been adopted and implemented for several years since the revision of the PA Core Standards (2014). This study examined how eight western Pennsylvania elementary school teachers' beliefs about teaching and learning mathematics related to the SMP. To this end, I conducted an in-depth interview with each participating teacher. The in-depth interviews featured the teachers' overarching mathematical instructional goals and their productive beliefs. Furthermore, I linked these beliefs with the CCSSM Standards for Mathematical Practice (SMP).

• 한국수학교육학회지시리즈C:초등수학교육
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• 제7권1호
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• pp.1-14
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• 2003

The purpose of this research is to explore teachers' role actions in teaching mathematical problem solving and to analyze the influences of the teachers'role actions on their students' activities and beliefs about problem solving. The results obtained in this study suggested that the teachers' role actions brought qualitative differences to students' activities, and students' beliefs about mathematical problem solving were consistent with the perspective held by their teachers. Therefore, teachers should help students build up desirable beliefs about problem solving. They should understand teaching mathematical problem solving and play proper roles in various situations of teaching mathematical problem solving.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제34권4호
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• pp.485-506
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• 2020

본 연구는 교사의 수학적 신념이 학생의 수학적 신념에 주는 영향을 잠재집단회귀모델(Latent Class Regression Model; LCRM)을 통해 분석하였다. 분석을 위해 본 연구는 잠재집단분석(Latent Class Analysis; LCA)을 통해 교사 60명과 그 교사에게 배우는 학생 1850명의 수학적 신념을 각각 분류한 강성권, 홍진곤(2020)의 연구결과를 활용하였다. 분석결과, '수학의 본질'에 대한 교사의 신념은 학생의 '수학교과', '수학문제해결', '수학학습' 신념에 영향을 주었다. 또한, '수학의 교수'와 '수학적 능력'에 관한 교사의 신념은 학생의 '수학교과', '수학문제해결', '자아개념' 신념에 영향을 주었다. 이를 통해 본 연구는 교사의 수학적 신념이 학생의 수학적 신념에 실질적인 영향을 끼친다는 것을 통계적으로 실증하였다. 이러한 연구결과는 교사들의 연수와 관련한 목표와 내용의 설정에 도움을 줄 수 있을 것이다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제11권4호
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• pp.221-234
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• 2007

A comparison of mathematics teachers' personal beliefs between in- and pre-service teachers for Chinese secondary schools (grades 7-12) about mathematics theories, teaching and learning has been studied. In-service teachers' beliefs are close to constructivist's aspect and pre-service teachers' beliefs are close to absolutist's views. Based on the results, we give some suggestions to both teacher education and in-service teachers' training.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제35권4호
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• pp.377-411
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• 2021

본 연구는 교수학습 맥락에서 수학교사의 중심신념과 주변신념의 탐색을 목적으로 한다. 이러한 목적을 위해 본 연구는 고등학교 현직교사 8명을 대상으로 가상의 수학 수업 동영상을 활용하여 수학적 신념 측면에서 교사 노티싱(noticing)을 분석하였다. 분석결과, 노티싱하는 교사는 동영상 속 수업교사의 교수학습 문제 상황에 대하여 자신의 수학적 신념을 반영하여 비판하고, 교수학습 대안을 제시하였다. 그리고, 본 연구의 노티싱 분석은 '교수학습의 학생참여'와 같은 특정 노티싱 주제에 반영된 교사들의 수학적 신념을 비교하여 교사 개인의 상대적 중심신념과 주변신념을 드러내었다. 이러한 연구 결과를 통하여 본 연구는 노티싱을 활용하여 교수학습 맥락의 제약조건에서 수학교사의 중심신념과 주변신념을 추출하는 모형을 제안하였으며 부가적으로 수학교사의 교수학습-의사결정-전문성을 관찰할 수 있었다.

• 한국수학교육학회지시리즈A:수학교육
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• 제59권4호
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• pp.331-355
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• 2020

본 연구의 목적은 수학적 신념에 관한 기존 연구 결과를 체계적으로 분석하여 가치 있는 결과들을 비교 및 종합하고 이로부터 수학적 신념에 관한 후속 연구의 시사점을 얻는 것이다. 선정된 논문 58편의 방법론적 질을 MQA(Methodological Quality Assessment) 체크리스트를 이용하여 확인한 결과, 설문지를 이용하여 수학적 신념을 조사했거나 예비교사를 대상으로 한 연구가 많았다. 연구 결과를 분석한 결과, 수학적 신념의 개념적 특징과 대상별 특징, 수학적 신념의 교육적 영향력으로 나누어 그 의미를 확인했다. 수학적 신념은 교사와 학생, 수학 수업의 실천에서 중요한 교육적 영향력을 가지고 있었다. 연구 결과는 교사가 학생의 사고에 주목하여 적절한 교육적 지원을 제공하지 못하는 문제를 해결하기 위해 학생과 교사의 신념을 변화시키는 것이 중요함을 강조하며, 학생의 수학적 사고에 초점을 둔 수업 실천을 위한 지원이 필요함을 보여준다.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권2호
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• pp.99-117
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• 2015

The purpose of this study was qualitatively conducted for getting the answer of this problem by searching the beliefs of mathematics teachers with experience in technology and the factors that influences these beliefs. The participants in this study consist of eight teachers and one university professor having technological experiences from three years to ten years with a higher degree than M.A. The data was collected through focused group interviews for twice and individual interview as well. Data analysis was completed through several readings of transcripts and then main themes were derived by classifying, comparing, and contrasting codings. The result of this study showed that teachers with the experiences of technological tools have the concrete belief that technology helps both students and teachers understand mathematical concepts and enhance various representational activities and motivations. The result also identified the impeding factors of three beliefs of mathematics teachers. From these beliefs and factors, this study would suggest how to help teachers hold their beliefs about using technologies to improve their teachings and students' learning.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제10권2호
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• pp.103-113
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• 2006

The mathematics instructional beliefs of a teacher include the exterior mathematics instructional beliefs and the internal mathematics instructional beliefs. These two kinds of beliefs are formed in two kinds of different situations. The situated theory thinks that beliefs are related with the situations; so, the two kinds of beliefs are showed in the different situations. The internal instructional mathematics beliefs effect on the actual mathematics instruction, they ought to be noticeable.

• East Asian mathematical journal
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• 제39권4호
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• pp.377-392
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• 2023

The purpose of this research was to investigate mathematics teachers' beliefs regarding the implementation of STEM approaches in secondary school mathematics classes and to identify the factors influencing their beliefs. A survey on teachers' beliefs about applying STEM in mathematics classes was developed and distributed online to mathematics teachers from middle and high schools in two metropolitan areas. Eighty-two surveys were returned from the teachers. Factor analysis revealed that the items were distributed among five main aspects. The findings indicated that most teachers believed in the necessity of implementing STEM education. However, some teachers expressed concerns about the effectiveness of implementation due to the lack of materials, resources, and equipment needed for STEM implementation.