• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.297-308
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• 2004

본 연구에서는 먼저, 수학교사에게 필요한 지식으로 교과, 학생, 교수학적 내용 지식이 필요함을 문헌을 통해 정리하였다. 교사의 지식과 수업 실제에 관한 세 편의 논문을 분석한 결과 교사의 수학에 대한 충분한 이해가 학생의 학습과 효과적인 교수에 절대적인 영향을 미친다고 주장할 수 없음을 알 수 있었다. 그러나 수학에 대한 바른 이해는 학생의 질문에 적절한 반응을 할 수 있도록 하며, 수업을 계획하고 교실에서 이루어지는 담화를 수학적으로 원활하게 조절할 수 있도록 도움을 줄 수도 있었다. 따라서 수학을 잘 아는 것이 효과적인 교수·학습을 보장하지는 못하지만, 교사가 잘 알지 못하는 것을 가르칠 수는 없다는 결론을 얻었다.

• School Mathematics
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• v.15 no.2
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• pp.443-457
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• 2013

This study investigated the perceptions of beginning teachers about teacher knowledge. Reflections and improvement of their class knowledge have been perceived as the most important factors by beginning teachers. In terms of utilization of actual classes, teacher knowledge, mathematical concepts and correlations such as connection linked to class contents and hierarchy have been used the most. Among the needed teachers knowledge, knowledge of student understanding and mathematics content knowledge was the most essential knowledge that could be mainly formed through classroom experience and teacher training program. On the other hand, knowledge about technology and assessment was not necessary or useful factor for beginning teachers. To facilitate formation of beginning teachers' knowledge, teacher introductory program, mentoring program, interactive relationship with teacher education institutes, curriculum improvement for teacher education institute and the development and dissemination of various teachers training program would be required.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.695-717
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• 2013

Teacher knowledge needed for teaching is bound to be revealed in teaching the subject matter in relation to the given instructional context. Given this, recent studies on mathematics teacher knowledge tend to analyze actual Mathematical Knowledge in Teaching [MKiT]. This study focused on the dimension of transformation and its related codes in Knowledge Quartet, which has been recognized as a MKiT framework, and analyzed a Korean teacher's transformation knowledge revealed in her elementary mathematics teaching. The analysis showed that the codes related to the dimension of transformation were useful in analyzing teacher knowledge in the Korean context. However, a few codes need to be revised or added for more suitability. On the basis of these results, this paper closes with implications for analyzing teacher knowledge in mathematics teaching.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2008.05a
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• pp.17-28
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• 2008

이 논문은 중학교 기하 영역의 수업에 대한 학생들의 성취도가 낮은 것을 관찰하고, 그에 대한 고민으로 교육과정을 분석하고, 수학교육의 질적 접근을 위한 교수 실험을 통해 실제 중학교 과정에서 운용되는 논증기하 교육의 문제점과 그 대안을 탐색하고자 하였다. 본 연구에서는 교사가 반드시 갖춰야 할 지식으로 Shulman(1986)이 제시한 교과 내용 지식과 교수학적 내용 지식, 그리고 교육과정 관련 지식을 받아들였으며, 중학교 기하 영역에서 이런 지식을 갖추기 위해 교사가 폭넓은 고민을 하여 수업의 개선점을 찾는 과정을 보여주고 있다. 연구를 통해서 학생들에게 명제를 지도할 때 주의할 점과 학습자에게 증명을 하도록 제시하는 방법상의 문제점, 그리고 이등변삼각형의 지도에서의 그 증명이 갖는 의미를 잘 이해하여 학생들에 증명 학습에 진정한 도움이 될 수 있는 방향을 탐색하였다. 그리고 절차만을 학습시키는 현행 작도 수업을 개선하기 위한 여러 시도와 등변사다리꼴의 학습에서와 같이 학생들이 수학 용어를 되돌아보는 수업이 필요성을 탐색하여, 많은 교수 실험을 통한 교육과정의 바람직한 개정을 제안하였다.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.45-67
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• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.97-105
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• 2002

최근 들어, 갈수록 다양화 ${\cdot}$ 다기화 되어 가는 사회 상황은 우리로 하여금 끊임없는 선택을 하도록 요구하고 있으며, 그것은 다시 깊고 넓은 생각을 하도록 요구하고 있다. 또한 사회 변화의 가속화와 경쟁의 첨예화는 우리로 하여금 그 선택과 그에 따른 생각을 보다 신중하고 현명하게 하도록 요구하고 있다. 이에 따라, 초등수학교육에서도 사고력 신장을 위한 수업방법의 필요성을 역설하고 있다. 따라서, 본고는 아동들이 수학수업에서 사고력 신장을 위한 수업 방법을 탐색해 봄으로써, 아동의 능력을 강화하고, 아동의 인지발달을 촉진하며, 개인의 지식 수준을 향상시키고자 한다.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.617-630
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• 2015

A perspective of the nature of teacher knowledge has a significant impact on why and how we study teacher knowledge. The purpose of this study was to explore the mathematics knowledge in teaching (MKiT) in terms of meanings, characteristics, and analytic methods. MKiT regards teacher knowledge as practical knowledge that has meanings only when it is employed in teaching mathematics. Various components of teacher knowledge interact one another in teaching mathematics. Given this, teacher knowledge is regarded as an organism specific to teaching contexts and it needs to be analyzed by observing lessons or a teacher's actions related directly to the lessons. This paper is expected to induce research on teacher knowledge from the MKiT perspective and urge researchers to have a profound understanding of the nature and analytic methods of teacher knowledge. Some implications of future research are included.

• Communications of Mathematical Education
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• v.12
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• pp.83-91
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• 2001

사회는 빠르게 변화하고 있으며, 그러한 변화는 새로운 적응을 요구하고 있다. 그래서 오늘날의 사회는 “사고력의 사회”라고 생각하는 지도 모르겠다. 이에 발맞추듯, 교육과정에서도 사고력 개발의 필요성을 역설하고 있지만, 실제 교육현장에서는 어떠한가? 어떻든 이런 저런 이유로 ‘주입식’수업, ‘암기식’수업은 안 된다고 오랜 세월 많은 연구자들이 합창을 해왔다. 그러나 ‘예전대로’, ‘하던대로’의 전통은 별로 바뀌지 않고 계속되고 있는 것 같이 보인다. 따라서, 본고는 아동들이 수학수업에서 사고학습을 어떻게 함으로써, 아동의 능력을 강화하고, 아동의 인지발달을 촉진하며, 개인의 지식 수준을 향상시킬 수 있는 특별한 방법을 찾고자 한다.

• Communications of Mathematical Education
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• v.34 no.4
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• pp.507-523
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• 2020

This study is to establish the items on instructional evaluation based on the teacher's practical knowledge in mathematics educations. Namely, this study deals with the items on how pre-service or in-service teachers reflect and revise their own or peer's class. To accomplish this, first of all the items on instructional evaluation was developed by researchers of this study on the basis of the results of two previous study. One is the literature of Elbaz(1981) and the other is the literature of Hwang(2013). Elbaz(1981) defined the definition of practical knowledge and five sub-domains of the practical knowledge. On the other hand, Hwang(2013) defined the teacher knowledge in mathematics education and four sub-domains of the teacher knowledge. According to these four domains, Hwang(2013) developed the items on the instructional evaluation in mathematics class. From now on, based on these two study, this study was to develop the items on the instructional evaluation involving the practical knowledge. Futhermore, the final and ideal items on the instruction would be established through the reflection and comments of professionals such as mathematics teachers, professors, and researchers.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.139-159
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• 2016

This study is the field of mathematics education on the assumption that they can extend outside the classroom. Recent mathematics education is increasing the importance of field experience and various activities based on real-life math education. Thus, it is necessary to consider this situation in pre-service teacher's education. The purpose of this study is to apply the 'Mathematics Field Trips Activities' in the pre-mathematics teacher education. So the specific case of 'Mathematics Field Trips Activities' was analyzed. Mathematics teachers conducted preliminary exploration activities on the historical cultural property which were effective in the following four aspects. First, cognitive effects and second, definitive effect. Third, cultural-mathematical effect. Fourth, the effect on improving math class. Finally they were summarized and divided into classes target content knowledge and teaching knowledge both sides. As a result, the 'Mathematics Field Trips Activities' were found to have significant effects on pre-service math teacher. Finally, ongoing research is needed to settle into a new teaching and learning methods.