• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권2호
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• pp.91-101
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• 2009

The mathematics curriculum reform has been carried out for almost five years (2004-2008) in the mainland China. But the teaching and learning in mathematics classrooms still are traditional in nature. Analyzing from the cultural angle, some reasons can be found: the orientation of teachers' role, teaching, and learning, the relationships between a teacher and the students, understanding the mathematics, and examination.

• 대한수학교육학회지:학교수학
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• 제10권2호
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• pp.199-222
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• 2008

본 연구는 수학교사의 전문성 관점에서 최근 활발히 대두되고 있는 수업 반성의 의미와 방법 등을 살펴보고, 수학과 수업 반성의 효율적 실현을 위한 분석의 준거를 고찰하고 제안해 보고자 시도되었다. 선행연구 분석 결과, 기존의 자기 평가적 체크 리스트의 결과와는 차별화 된 세부 항목들을 통합한 총체적이고 체계적인 반성적 분석 준거 개발이 요구되는 것으로 나타났다. 이에 선행연구의 고찰 결과를 토대로 수학과 수업 반성을 위한 분석 절차를 수업 전 중 후로 분류하고 이에 따르는 세부 영역에 적합한 반성적 질문들을 도출하여 수학과 수업 반성을 위한 준거를 제안하였다.

• 한국수학사학회지
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• 제14권2호
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• pp.61-68
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• 2001

Rationality in mathematics is discussed by analyzing historical facts concerning infinitesimality. Several views containing Platonism, formalism and falsificationism are suggested to analyze rationality.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권1호
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• pp.55-78
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• 2001

Given the anisotropic Poisson equation $-{\nabla}{\cdot}{\mathcal{K}}{\nabla}p=f$, one can convert it into a system of two first order PDEs: the Darcy law for the flux $u=-{\mathcal{K}{\nabla}p$ and conservation of mass ${\nabla}{\cdot}u=f$. A very natural mixed finite volume method for this system is to seek the pressure in the nonconforming P1 space and the Darcy velocity in the lowest order Raviart-Thomas space. The equations for these variables are obtained by integrating the two first order systems over the triangular volumes. In this paper we show that such a method is really a standard finite element method with local recovery of the flux in disguise. As a consequence, we compare two approaches in analyzing finite volume methods (FVM) and shed light on the proper way of analyzing non co-volume type of FVM. Numerical results for Dirichlet and Neumann problems are included.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권1호
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• pp.1-18
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, the author show that the constructs of social and socio-mathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmins scheme for argumentation, as elaborated for mathematics education by Krummheuer [The ethnology of argumentation. In: The emergence of mathematical meaning: Interaction in classroom cultures (1995, pp. 229-269). Hillsdale, NJ: Erlbaum], provide us with means to analyze aspects of explanation, justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제18권1호
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• pp.1-18
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, I show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmins scheme for argumentation as elaborated for mathematics education by Krummheuer, provide us with means to analyze aspects of explanation justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제43권1호
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• pp.97-107
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• 2004

Current interest in mathematics learning that focuses on understanding, mathematical reasoning and meaning making underscores the need to develop ways of analyzing classrooms that foster these types of learning. In this paper, I show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic interactionist perspective, and Toulmin's scheme for argumentation, as elaborated for mathematics education by Kummheuer, provide us with means to analyze aspects of explanation, justification and argumentation in mathematics classrooms, including means through which they can be fostered. Examples from a variety of classrooms are used to clarify how these notions can inform instruction at all levels, from the elementary grades through university-level mathematics.

• 한국초등수학교육학회지
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• 제5권1호
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• pp.121-142
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• 2001

본 연구에서는 초등학교 교사의 수학에 대한 신념과 태도가 어떤 특성을 보이고 있고 이것이 실제 수학 수업에서는 어떤 식으로 반영되고 있는지 수업 사례를 통해 살펴보고자 하는 데 그 목적이 있다. 이러한 연구 목적을 위하여, 먼저 교사의 수학에 대한 신념과 태도를 묻는 설문지를 작성하고 그것을 분석해서 초등학교 교사의 수학에 대한 신념과 태도의 특성을 살펴보았다. 그리고 나서 교사의 수학에 대한 신념과 태도가 실제 수학 수업에 어떻게 반영되는지를 파악하기 위하여 두 교사의 실제 수학 수업을 분석해 보았다. 수학 수업을 분석해 본 결과, 수업 내용을 조직하고 전개해 나가는데 교사의 수학에 대한 신념과 태도가 반영되어 있었다. 수학을 가르치는 중요한 목표를 학생들이 문제를 풀 수 있는 능력을 개발하고 수학적으로 생각하도록 도움을 주는 데 두는 L교사의 수학 교수에 대한 신념은 학생들의 활동을 위주로 수업을 하고 그는 도와주는 역할을 하는 것으로 수업에 반영되어 있었다. 그리고 한 가지 수학 내용을 가르치는데 보다 많은 표현들을 이용해야 한다는 K 교사의 수학 교수에 대한 신념과 보다 상세히 설명하고자 하는 수학 교수에 대한 태도는 학생들에게 설명할 때 그림이나 구체적인 자료, 예 등을 사용하는 것으로 수업에 반영되고 있음을 알 수 있었다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제11권1호
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• pp.53-63
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• 2007

Mathematics curriculum reform is very important, and it can be understood well by power. This paper uses the extended Foucault's power theory as foundations to view mathematics curriculum reform. The research's case is China's ongoing mathematics curriculum reform. Through analyzing the power relationships in China's ongoing mathematics curriculum reform, the paper thinks that power's balance is very important in mathematics curriculum design, because it will affect the designed curriculum.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권2호
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• pp.111-119
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• 2003

This research discussed a general concept on the qualitative research methods in mathematics education. It provided a classification of research methods in mathematics education. It also described research trends in mathematics education. It addressed how research design facilitates formulating a research problem, selecting a research design, choosing who and what to study, deciding how to approach Participants, selecting means to collect data choosing how to analyzing data, and interpreting data and applying the analysis. This study addressed the issues involved in choosing relevant populations and in selecting and sampling qualitative data. It described how populations are conceptualized and distinguished between probability sampling and criterion based selection. It discussed not only data arrangement such as, cross-sectional and categorical indexing, non-cross- sectional data organization, but also diagram flow chart matrix, cognitive map, family tree to facilitate analyzing data.