• 한국수학교육학회지시리즈E:수학교육논문집
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• 제38권1호
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• pp.1-26
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• 2024

수학 수업의 질적 향상을 도모하기 위한 교사 연수 및 개별적인 노력의 한계가 보고되며, 대안적인 교사 전문성 체제로 학습공동체가 주목받고 있다. 학습공동체는 공동 목표를 바탕으로 상호 참여를 통해 수학 교과 내용, 교육학, 교육과정에 대한 레퍼토리를 형성하는 하나의 실천공동체(Community of Practice, CoP)이고, 따라서 교사들의 학습은 실천공동체 이론으로 해석할 수 있다. 이에 본 연구는 고등학교 교사 학습공동체에 참여한 수학교사들의 정체성 형성 과정을 실천공동체 이론을 중심으로 탐색하였다. 성찰 저널, 협의록, 수업 영상 전사본의 귀납적 분석을 통해 수학교사들의 학습공동체 참여 경험을 도출하였고, 참여 관찰 기록지를 토대로 개별 인터뷰를 진행한 후 이를 유형적으로 분석하여 각 수학교사의 정체성 형성 과정을 탐색하였다. 연구 결과 수학교사는 학습공동체 참여를 통해 수학 교수·학습에 관한 실천 형성, 지속적인 반성과 성찰을 통한 교수 실행 개선, 공동체 몰입을 통한 함께의 가치 인식을 경험했고, 이 경험을 바탕으로 주변적 궤적, 내부지향 궤적, 내부자 궤적, 경계적 궤적, 외부지향 궤적 등을 보이며 다양하게 정체성을 형성하였다. 이를 바탕으로 학습공동체의 효과적 운영을 위한 시사점이 논의되었고 후속 연구가 제안되었다.

• 한국학교수학회논문집
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• 제16권3호
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• pp.601-620
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• 2013

본 연구는 수학적 연결성 구현에 대한 초등 교사들의 인식과 실태를 살펴보고자 지역별 학교 수에 비례하여 층화 군집 표집을 실시하여 28개 학교, 567명의 교사들의 설문지를 분석하였다. 그 결과 수업에서 구현할 수학적 연결성으로 사회적 연결성에 비해 지적 연결성에 대한 인식이 높았으며, 지적 연결성 하위 내용 중에는 실생활과의 연결에 대한 인식이 높았고 실제 수업에서도 가장 많이 구현한다고 응답하였다. 연결의 방법으로는 다양한 연결을 사용하였으나 추론, 학생들의 활동 결과 반영 등의 방법에 활용도가 낮았고 지원을 필요로 하는 자원으로는 실제 수업 사례에 대한 요구가 많았다. 이러한 교사들의 인식을 바탕으로 수업에서 수학적 연결성을 구현하는 방안에 대한 시사점을 제공하고자 한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제58권4호
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• pp.545-566
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• 2019

본 연구에서는 연구공동체 활동이 개념 지도와 수학적 창의성에 관한 교사 전문성에 어떤 변화를 가져오는지 살펴본다. 연구 결과, 연구공동체 활동은 교사가 개념 지도와 수학적 창의성 촉진 모두에 의미 있는 개선을 시도하는 데 기여한 것으로 나타났다.

• 대한수학교육학회지:수학교육학연구
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• 제11권2호
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• pp.273-289
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• 2001

Given that the culture of the mathematics classroom has been perceived as an important topic in mathematics education research, this paper deals with the construct of sociomathematical norms which can be used as an analytical tool in understanding classroom mathematical culture. This paper first reviews the theoretical foundations of the construct such as symbolic interactionism and ethnomethodology, and describes the actual classroom contexts in which social and sociomathematical norms were originally identified. This paper then provides a critical analysis of the previous studies with regard to sociomathematical norms. Whereas such studies analyze how sociomathematical norms become constituted and stabilized in the specific classroom contexts, they tend to briefly document sociomathematical norms mainly as a precursor to the detailed analysis of classroom mathematical practice. This paper reveals that the trend stems from the following two facts. First, the construct of sociomathematical norms evolved out of a classroom teaching experiment in which Cobb and his colleagues attempted to account for students' conceptual loaming as it occurred in the social context of an inquiry mathematics classroom. Second, the researchers' main role was to design instructional devices and sequences of specific mathematical content and to support the classroom teacher to foster students' mathematical learning using those sequences Given the limitations in terms of the utility of sociomathematical norms, this paper suggests the possibility of positioning the sociomathematical norms construct as more centrally reflecting the quality of students' mathematical engagement in collective classroom processes and predicting their conceptual teaming opportunities. This notion reflects the fact that the construct of sociomathematical norms is intended to capture the essence of the mathematical microculture established in a classroom community rather than its general social structure. The notion also allows us to see a teacher as promoting sociomathematical norms to the extent that she or he attends to concordance between the social processes of the classroom, and the characteristically mathematical ways of engaging. In this way, the construct of sociomathematical norms include, but in no ways needs to be limited to, teacher's mediation of mathematics discussions.

• 논리연구
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• 제20권1호
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• pp.97-112
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• 2017

컴퓨터를 이용한 수학적 증명의 정형화는 현대수학의 중요한 연구도구로 활용되고 있다. 본 논문에서는 정형증명에 대한 프레게의 영향을 살펴본다. 이를 위해 자유변항과 구속변항을 정형증명에서 다룰 때 발생하는 문제를 설명한 후, 프레게의 Begriffsschrift에서 언급된 아이디어를 이용하여 변항을 정형적으로 다룰 수 있는 해결책을 소개한다.

• Journal of Information Technology Applications and Management
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• 제20권3호
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• pp.129-141
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• 2013

When the formative construct is placed in the endogenous position, there are clear theoretical, mathematical, and empirical issues in model estimation. Nonetheless, scholars who have adopted structural equation modeling for empirical research and those who are engaged in debates on the viability of formative modeling fail to recognize the fundamental problems of employing formative measurement in the endogenous position. This manuscript is intended to set a corrective path by discussing three reasons why this frequented practice may be avoided in both theoretical and empirical research.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제9권2호
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• pp.107-118
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• 2005

The purposes of this study were to investigate the practice of performance assessment in elementary mathematics classes especially focused on 4th grade. To achieve this, three research questions were posed as follow: First, What do they prepare for performance assessment? Second, What kinds of tests do they use in mathematics performance assessment? Third, What kinds of difficulties do they have for performance assessment and what should be changed for a successful performance assessment in mathematics? To Answer the research questions, three 4th grade classes were selected from three different elementary schools in seoul and three teachers were interviewed. From the data analysis, several conclusion were drawn. First, a plan for mathematics performance assessment was not set by the class teacher who are in charge of the class. The main reason was lack of time. Second, in most of the assessment, written tests were used and the items in the tests were skill-oriented. Third, teachers thought that performance assessment was needed in mathematics. But lack of their time, knowledge and competency, it is difficult to do performance assessment in mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제30권1호
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• pp.1-19
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• 1991

This study intends to provide some desirable suggestions for the development of application oriented mathematics curriculum. More specific objects of this study is: 1. To identify the meaning of application and modelling in mathematics curriculm. 2. To illuminate the historical background of and trends in application and modelling in the mathematics curricula. 3. To consider the reasons for including application and modelling in the mathematics curriculum. 4. To find out some implication for developing application oriented mathematics curriculum. The meaning of application and modelling is clarified as follows: If an arbitrary area of extra-mathematical reality is submitted to any kind of treatment which invovles mathematical concepts, methods, results, topics, we shall speak of the process of applying mathemtaics to that area. For the result of the process we shall use the term an application of mathematics. Certain objects, relations between them, and structures belonging to the area under consideration are selected and translated into mathemtaical objects, relation and structures, which are said to represent the original ones. Now, the concept of mathematical model is defined as the collection of mathematical objcets, . relations, structures, and so on, irrespective of what area is being represented by the model and how. And the full process of constructing a mathematical model of a given area is called as modelling, or model-building. During the last few decades an enormous extension of the use of mathemtaics in other disciplines has occurred. Nowadays the concept of a mathematical model is often used and interest has turned to the dynamic interaction between the real world and mathematics, to the process translating a real situation into a mathematical model and vice versa. The continued growing importance of mathematics in everyday practice has not been reflected to the same extent in the teaching and learning of mathematics in school. In particular the world-wide 'New Maths Movement' of the 19608 actually caused a reduction of the importance of application and modelling in mathematics teaching. Eventually, in the 1970s, there was a reaction to the excessive formallism of 'New Maths', and a return in many countries to the importance of application and connections to the reality in mathematics teaching. However, the main emphasis was put on mathematical models. Applicaton and modelling should be part of the mathematics curriculum in order to: 1. Convince students, who lacks visible relevance to their present and future lives, that mathematical activities are worthwhile, and motivate their studies. 2. Assist the acqusition and understanding of mathematical ideas, concepts, methods, theories and provide illustrations and interpretations of them. 3. Prepare students for being able to practice application and modelling as private individuals or as citizens, at present or in the future. 4. Foster in students the ability to utilise mathematics in complex situations. Of these four reasons the first is rather defensive, serving to protect or strengthen the position of mathematics, whereas the last three imply a positive interest in application and modelling for their own sake or for their capacity to improve mathematics teaching. Suggestions, recomendations and implications for developing application oriented mathematics curriculum were made as follows: 1. Many applications and modelling case studies suitable for various levels should be investigated and published for the teacher. 2. Mathematics education both for general and vocational students should encompass application and modelling activities, of a constructive as well as analytical and critical nature. 3. Application and modelling activities should. be introduced in mathematics curriculum through the interdisciplinary integrated approach. 4. What are the central ideas of, and what are less-important topics of application-oriented curriculum should be studied and selected. 5. For any mathematics teacher, application and modelling should form part of pre- and in-service education.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제13권2호
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• pp.141-150
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• 2009

This study gives opportunity for investigating how student teachers view the teaching profession and how they transfer their pedagogical knowledge into practice. The aim of the study is to investigate the teaching skills student teachers gained in the assessment of micro teaching of their peers. The participants are 30 mathematics student teachers enrolled in the teacher training program in a state university. Document analysis and semi-structured interviews are the research instruments and inferential & descriptive statistics are used for the data analysis. The findings suggest that the qualitative and quantitative peer assessments of student teachers were graded differently which results from the difference of perceptions about teaching and different conceptualizations of the teaching qualifications.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권4호
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• pp.293-307
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• 2004

Psychological and social theories have influenced on making sense of teaching and learning of mathematics. This paper analyzes major influences of such theories - behaviorism cognitivism, and situativity - on mathematics education. Instead of reviewing the theories perse, it intends to explicate how different perspectives have shaped our understanding of mathematics education both in theory and in practice. Given that the current mathematics education reform ideas are theoretically based on the constructivist and the sociocultural perspectives, the main focus is given on cognitivism, situativity, and various coordinations between the two. Exploring about psychological and social theories in the context of mathematics education is expected to enrich our understanding of where we have come from and where we are going.