• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.33-44
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• 2005

한국의 대학수학 교육에 대한 여러 종류의 관심이 다양한 현실적 필요성에서 대학의 수학 교수들 사이에서 일고 있다. 대학수학 교육의 어떤 연구 주제를 누가 어디에서 어떻게 연구하여야 연구로서 가치, 타당성 그리고 연구 결과를 유용하게 활용할 수 있는지 등 연구의 방향, 목표, 그리고 결과의 활용에 대한 적절한 합리적 준거틀에 대한 논의가 부족한 실정이다. 일반적으로 수학교육에 대한 연구 결과는 실제 수학 수업을 수행하는 교수, 교사 또는 교육행정가에게 유용한 정보, 지식 그리고 수업 수행 방법(기술) 등을 제공하여 그들의 의사결정 문제를 결정하도록 적절한 도움을 줄 수 있는 유용성을 가져야 한다. 학교수학 교육은 국가적 교육과정을 갖고 있다 이에 비하여 대학수학 교육은 각 대학마다 다른 교육 환경과 목표를 반영한 대학교육과정에 대학수학 관련 교과(강좌) 또는 수학전공 교과들이 포함되어있다. 다양한 대학교육 환경과 시스템에 놓여있는 대학수학 교육의 상황 또는 현상을 개선하기 위한 연구의 수행 원칙과 질적 기준들 무엇인가?를 논하였다.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.41-68
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• 2020

The purpose of this study is to analyze the cognition of per-service teachers, who experienced a teacher education process for developing their discursive competency, about relations between class plan and class practice as well as discursive competency required in class process. For this purpose, 15 pre-service teachers participated in the course of mathematics teaching theory for developing discursive competency and their final projects including the process of analysing their own teaching discourse after actually teaching middle or high school students were collected as data and analyzed. Results show that they realized that there were differences between class plan and class practice after having experienced unexpected teaching and learning situations, recognized the importance of discursive competency learned from the course, and reflected on their discursive competency in conjunction with their classes. These results imply that the course contributed to pre-service teachers' cognitions of the existential possibility of discursive competency. which helps to develop a teaching method combining teachers' knowledge and practice, the importance of discursive competency, and the need for developing it. The course also provided practical ideas about a teacher education program to develop prospective teachers' discursive competency

• Communications of Mathematical Education
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• v.9
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• pp.227-239
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• 1999

영재교육의 이론적 근거를 제시한 연구물이 국내에는 그다지 많지 않다. 뿐만 아니라 지금 한국과학재단에서 지원하고 있는 전국의 9개 대학 과학영재교육센터 역시 실천적인 차원의 활동을 벗어나지 못하고 있다. 외국의 대학부설 연구소들이 30년 이상 이와 같은 연구와 서비스를 지속적으로 실천해오고 있는 사례들을 우리는 쉽게 찾을 수 있다는 점을 거울 삼아 모처럼 마련된 국가적 차원의 지원을 토대로 그 바람직한 실천과 연구를 위한 방안을 다음과 같이 제시해본다. 첫째, 질적 연구의 집적에 힘써야 한다. 영재교육이라는 특수한 상황을 전제로 할 때는 더구나 그렇듯이 일반화를 전제로 한 양적 연구보다는, 사례연구와 같은 질적 연구물들의 집적에 노력을 아끼지 말아야할 것이다. 둘째, 교수-학습 활동은 활동이론과 구성주의 이론의 적절한 조화가 요망된다. 구성주의 이론에 입각한 교수-학습 활동의 모습을 단적으로 말하자면, 학습자 자신이 주어진 문제 상황에서의 탐구를 통하여, ‘구체적인 것에서 추상적인 것으로’ 나아가 스스로 지식을 구성하는 것이다. 그러나, 활동이론에 입각한 교수-학습 활동의 요지는 활동은 정말로 전형적인 활동에 국한하고 나머지는 교사의 설명에 의해 학습자들이 ‘추상적인 것에서 구체적인 것으로의 소급’이 가능하도록 하는 것이다. 완전히 정반대의 주장을 하는 것 같으면서도 일면 그 타당성들을 갖고 있는 것으로 볼 수 있다. 셋째, 학제적 ${\cdot}$ 통합적 연구가 절실하다. 연구의 측면에서 수학반 아동과 과학반 아동들의 활동상의 차이점이나 유사점 등에 대한 질적 연구를 시도해보는 것은 매우 의미있는 일이 될 것이다.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.63-77
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• 2016

SENKs (Students who Emigrated from North Korea to South Korea) are exposed to the general problem of Su-Po-Ja(mathematics give-uppers) as well as their own difficulty in learning mathematics. In this study, we conducted the FGI (focus group interview) in order to examine the recognition on mathematics teaching and learning in South Korea with 6 SENKs and 3 teachers who teach the SENKs. As a result, it was found that SENKs' had difficulties in understanding math because of the differences in math terminology used in South and that in North Korea, the unfamiliar problem situation used in math lesson, and the shortage of time for solving math problem. And the teachers reported that they had difficulties in teaching great deal of basic math, SENKs' weak will to learn math, and SENKs' lack of understanding about problem situation because of the inexperience about culture and society in South Korea.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.189-203
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• 2014

The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

• School Mathematics
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• v.13 no.4
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• pp.543-562
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• 2011

In this research, the PBL program was developed in terms of 'classroom practice ability', 'self-develop ability', and 'teaching profession character' which classroom friendly teachers get ready and was applied to the classroom friendly elementary mathematics teachers for studying the effectiveness of the program. From the result elementary preservice teachers' disposition in terms of thought about mathematics, mathematics learning, and mathematics teaching was changed to the positive direction through the PBL. They could developed their classroom practice ability, self-develop ability, and teaching profession character through application of new knowledge and plan for problem solving and reflection after solving the problems.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.137-154
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• 2012

Approximation' is one of central conceptions in calculus. A basic conception for explaining 'approximation' is 'tangent', and 'tangent' is a 'line' with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.

• The Mathematical Education
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• v.61 no.4
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• pp.521-537
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• 2022

The unprecedented COVID-19 pandemic has disrupted, interrupted, and changed the way we normally prepare our teacher candidates in teacher preparation programs. In this paper, we, two mathematics teacher educators (MTEs), reflect our own experiences in appropriating, transforming, reconstructing, and modifying our pedagogies of teacher education in making a transition from face-to-face to online environment during the COVID-19 pandemic. Using a collaborative self-study, we discussed issues, challenges, changes, opportunities, and innovations of teaching an elementary mathematics methods course in the online environment. Using a constant comparison method, we explored the following three themes: (1) using virtual manipulatives; (2) creating collaborative, interactive, and shared learning experiences for preservice teachers; and (3) making preservice teachers engaged in student thinking. These findings indicated that online teaching requires transformative knowledge for teacher educators. Transferring face-to-face to online is not a simple matter of putting the existing content to online; it should focus on pedagogical improvement in teaching mathematics rather than technology's sake or how it can be repurposed in a new online environment in a way that students' learning is optimized. The findings of this study provide implications for unpacking MTEs' technological pedagogical content knowledge (TPACK), creating collaborative learning experiences for preservice teachers, and designing a collaborative self-study between MTEs engaged in the community of professional learning.

• The Mathematical Education
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• v.62 no.4
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• pp.515-529
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• 2023

The purpose of this study is to analyze teachers' understanding of the number and operations area of grades 3 to 6 in elementary school mathematics curriculum and to derive implications for improving teachers' understanding of the mathematics curriculum. To this end, elementary school teachers were asked to develop items to evaluate curriculum achievement standards at each grade level, and then the teachers' understanding of the curriculum was examined based on the collected items. As a result of the study, there was a misinterpretation of the achievement standards in approximately 25% of the questions collected. Typically, cases where the content covered by each grade was confused when using textbooks as a standard, or cases where the difference between the content covered by the two achievement standards could not be completely distinguished were found.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.389-401
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• 2012

The focus of the present study is on examining a research trend of teachers' professional development in mathematics. In do this, this study investigated the meaning and standards of professional development about mathematics, examining the characteristics of successful mathematics education professional programs, and looking for the processes of teachers' professionalization about mathematics. The findings of this study point out as follows: Teachers' professional development about mathematics implies the improvement of the quality of mathematics instruction following improving the quality of mathematics learning through well-structured mathematics teacher education programs. To do this, teachers need to have shared vision about how to teach mathematics, to have profound knowledge related to the mathematics subject, and to actively participate in teachers' professional development programs in mathematics. The results suggest the common characteristics of successful programs of mathematics teachers' professional development. The results of this study suggest that teachers need to have passion and efforts to improve teachers' professionalization about mathematics, and research on teacher professional development should be based on understanding about teachers. Also, more teacher-researchers to connect educational theories with educational practices are recommended, and a model for teachers' professional development program of mathematics appropriate to the context of Korea needs to be developed.