• 제목/요약/키워드: mathematical participation

검색결과 113건 처리시간 0.022초

한국, 중국, 일본의 국제수학올림피아드 참가 역사 비교 (Comparison of International Mathematical Olympiad Participation Histories of Korea, China, and Japan)

  • 이승훈
    • 한국수학사학회지
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    • 제30권2호
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    • pp.121-133
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    • 2017
  • In the present study, we investigate and compare the International Mathematical Olympiad participation histories of Korea, China, and Japan. Especially, the processes for the first participation of the IMO, trends in team rankings of the IMO, and national team selection systems and education systems are compared. And we investigate and compare the policies for the talented girls mathematics Olympians. Several proposals are suggested for development of Korean Mathematical Olympiad and participations to IMO.

MQI를 이용한 예비교사와 현직교사의 수학수업의 질 분석 (Analysis of Mathematical Quality of Instruction between Preservice and Inservice Mathematics Teachers)

  • 김성경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권4호
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    • pp.397-416
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    • 2016
  • This study analyzed the quality of mathematics classes with observations using the instrument, MQI(Mathematical Quality of Instruction). Class recordings and interviews were conducted on 2 pre-service teachers and 4 in-service teachers. This study recorded and analyzed 3 or 4 classes for each mathematics teacher by using revised MQI. There were a total of 8 raters: 2 or 3 raters analyzed each class. MQI has four dimensions: Richness of the Mathematics, Working with Students and Mathematic, Errors and Imprecision, Student Participation in Meaning-Making and Reasoning. In the dimension of 'Richness of Mathematics', all teachers had good scores of 'explanations of teacher' but had lower scores of 'linking and connections', 'multiple procedures or solution methods' and 'developing mathematical generalizations.' In the dimension of 'Working with Students and Mathematics', two in-service teachers who have worked and having more experience had higher scores than others. In the dimension of 'Errors and Imprecision', all teachers had high scores. In the dimension of 'Student Participation in Meaning-Making and Reasoning', two pre-service teachers had contrast and also two in-service teachers who hadn't worked not long had contrast. Implications were deducted from finding to improving quality of mathematics classes.

수학 중심 융복합 수업에 대한 효과 분석: 학생 소집단 활동 참여구조를 기반으로 (The Effect of Mathematics-Based Yungbokhap Instruction: An Analysis of Participation Structure in Small Group)

  • 박모라;문종은;주미경
    • 대한수학교육학회지:학교수학
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    • 제17권2호
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    • pp.355-376
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    • 2015
  • 본 연구는 최근 들어 관심이 증가하고 있는 융복합교육의 교육적 효과를 탐구하기 위해 수학 중심 융복합 수업의 모둠 활동 맥락에서 나타나는 학생들의 참여구조를 분석하였다. 분석 결과, 수학 중심 융복합수업을 통해 학생 사이의 참여구조가 보다 협력적 지식 구성 활동을 지지하는 방향으로 변화하는 것을 관찰할 수 있었다. 초기수업에서는 특정 학생에 의해 모둠 활동과 토론이 주도되거나 타인의 의견을 무조건적 비판하는 경향을 보여서 소통을 기반으로 하는 협력적 참여구조가 나타나지 않았다. 반면 후기 수업에서는 학생들이 수학적 아이디어를 표현하고 공유하는 과정에서 근거를 바탕으로 타인의 의견에 대한 타당성을 확인하는 말하기로 변화하였다. 이러한 변화는 모둠 내에 학생들의 능동적 탐구와 협력적 소통을 기반으로 하는 참여구조가 등장하였음을 의미하는 것으로 볼 수 있다. 이와 같은 분석 결과는 수학 중심 융복합 수업이 학생 사이의 문제해결 능력과 협력적 소통 역량을 개발하는데 긍정적으로 기여하였음을 보여준다.

초등학교 수학교실에 사회적 관행 분석 (A Study on Social Practices in Elementary Mathematics Classroom)

  • 권점례
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제8권2호
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    • pp.69-96
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    • 2004
  • The purpose of this study is to understand teaching and learning mathematics in elementary school classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Which kinds of lesson organization reveal? 2) Which kinds of social participation structure reveal? 3) Which processes of making meaning reveal? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data related to the social practices formed their classroom. The social practices of mathematics classroom was analyzed from three aspects such as lesson organization, social participation structure and making meaning. The results from which we analyzed the social practices of the mathematics classroom are as followings. From the aspect of lessons organization, the teacher had a lot of power and authorities in the classroom and used them to elicitate students' responses. From the aspect of social participation structure, five SPSs(social participation structures) which revealed in Jo(1997)'s economics classrooms, were shown in this mathematics classroom, but there were a difference to the situations or frequencies which the SPSs appeared. From the aspect of making meaning, it was common that meanings are formed by the explanation of the teacher, but the teacher didn't deliver the mathematical meanings directly. She tried to interact with students to arrive shared meanings.

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가정환경의 질과 아버지의 양육참여가 취학 전 유아의 학교준비도에 미치는 영향 (Effect of Home Environment Quality and Father's Parenting Participation on School Readiness of Preschool Children)

  • 조경진;안선희
    • Human Ecology Research
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    • 제53권3호
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    • pp.229-239
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    • 2015
  • This study investigated the effect of home environment quality and fathers' parenting participation on school readiness of preschool children. The subjects were 101 5-years old children, mothers and teachers at child care centers located in the Gyeonggi area. Home environment quality was measured using a 'Korean Home Environment' questionnaire. Parenting participation by fathers was measured by 'Scale for Productive Roles of Fathers of Children in Their Early Childhood.' Lastly, the children's school readiness measured the 'School Readiness Inventory.' Collected data were analyzed using t-test, correlation analysis, and hierarchical multiple regression. The results of the study showed that the school readiness of preschool children differed by gender. The score of girls' school readiness was higher than boys' school readiness. Such difference was apparent in the school readiness areas of general knowledge, mathematical knowledge, and adjustment. There was a positive correlation between age and the school readiness of preschool children. An increase in children's age also increased school readiness in the areas of linguistic knowledge, mathematical knowledge, and adjustment. Home environment quality and fathers' parenting participation directly influenced the school readiness of preschool children. The pattern of the results suggests that a desirable home environment and fathers' contribution in the family for children are critical components to prepare preschool children for elementary school.

수학적 과제가 수학적 의사소통에 미치는 영향 (The Influence of Mathematical Tasks on Mathematical Communication)

  • 이미연;오영열
    • 대한수학교육학회지:수학교육학연구
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    • 제17권4호
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    • pp.395-418
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    • 2007
  • 수학교육에서 수학적 의사소통을 강화하는 것은 교사에게 많은 것을 의존하는 교실 상황을 학생들이 그들 자신의 생각을 책임지는 상황으로 바꾸는데 도움을 준다. 이 연구는 수학적 의사소통에서 중요한 역할을 할 것으로 예상되는 수학적 과제가 수학적 의사소통에 미치는 영향에 대하여 탐구하였다. 이를 위해 인지적 요구수준에 따라 수학적 과제를 암기형, 절차형, 개념원리형, 탐구형으로 나누고, 각 과제 유형에 따라 학생들의 수학적 의사소통 참여, 수학적 정당화 유형, 수학적 합의과정이 어떻게 달라지는지 양적 분석방법과 질적 분석방법을 병행하여 살펴보았다. 수학적 과제는 학생들의 수학적 의사소통과 밀접한 연관성을 갖고 있으며, 어떤 과제로 학습하느냐에 따라 학습 효과는 달라진다. 따라서 해결방법이 다양하고 인지적 요구수준이 높은 수학적 과제를 제공하는 것은 학생들의 수학적 의사소통 능력을 향상시키는데 중요하다.

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학생 중심 동료 멘토링 교수법에서 수학적 과정에 대한 의사소통학적 접근 (A communicational approach to mathematical process appeared in a peer mentoring teaching method)

  • 최상호;하정미;김동중
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권3호
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    • pp.375-392
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    • 2016
  • 본 연구의 목적은 의사소통학적 관점에서 학생의 공유와 참여를 핵심가치로 하는 교수법 중에 하나인 동료 멘토링 방법의 변천과정을 분석하여 우리나라 교육과정에서 지속적으로 강조하는 수학적 과정에 대한 변화의 특징을 명시화하는 것이다. 의사소통학적 접근 방식에서 수학적 과정의 출발점인 동시에 수행의 핵심이라고 볼 수 있는 학습자의 수업 참여를 위해 17년 동안 동료 멘토링 수업 방법의 변화 과정 5단계를 교수법 변화 측면에서 분석하고자 하였다. 이를 위해 수학적 과정을 위한 교수법 변화와 연관된 요소를 학습 환경, 학습 과정, 평가 측면에서 단계별로 추출하였다. 분석 결과, 학습자의 상호작용을 촉진하고 이를 바탕으로 교실 공동체로 모든 학생들이 적극적으로 참여할 수 있도록 하는 수학적 과정을 위한 교수법 변화와 관련된 특징은 연속적인 상호작용성, 맥락의존성, 양방향성, 교사 역량, 학생 참여 원리를 발견할 수 있었다. 이 다섯 가지 원리를 바탕으로 수학적 과정의 효과적 변화의 저변에 깔려있는 원동력으로 공유된 창의성의 원리를 추출할 수 있었다.

Advancing Mathematical Activity: A Practice-Oriented View of Advanced Mathematical Thinking

  • Rasmussen, Chris;Zandieh, Michelle;King, Karen;Teppo, Anne
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제18권2호
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    • pp.9-33
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    • 2004
  • The purpose of this paper is to contribute to the dialogue about the notion of advanced mathematical thinking by offering an alternative characterization for this idea, namely advancing mathematical activity. We use the term advancing (versus advanced) because we emphasize the progression and evolution of students' reasoning in relation to their previous activity. We also use the term activity, rather than thinking. This shift in language reflects our characterization of progression in mathematical thinking as acts of participation in a variety of different socially or culturally situated mathematical practices. We emphasize for these practices the changing nature of student' mathematical activity and frame the process of progression in terms of multiple layers of horizontal and vertical mathematizing.

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한국의 국제수학올림피아드 참가의 성과 및 개선점 논의 (Review of participations of the Korean National Team in the International Mathematical Olympiad and discussions for improvements)

  • 이승훈
    • 한국수학사학회지
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    • 제28권5호
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    • pp.279-297
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    • 2015
  • In the present study, we review the history of the participations of the Korean national team in the International Mathematical Olympiad for 28 years. We identifiy three major events that highlighted the development of the Korean Mathematical Olympiad program: The first participation in the International Mathematical Olympiad, hosting of the International Mathematical Olympiad, and winning the first place in the International Mathematical Olympiad. We also propose some recommendations for next steps to facilitate the development of Mathematical Olympiad in Korea.

문제 해결 과정에서 나타나는 초등학생들의 협력적 발화 특성 분석 (Analysis of Collaborative Utterances among Elementary Students in Problem-Solving Process)

  • 이보람;박만구
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권3호
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    • pp.271-287
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    • 2018
  • This is a case study that defined collaborative utterances and analyzed how they appear in the problem-solving process when 5th-grade students solved problems in groups. As a result, collaborative utterances consist of an interchange type and a deliver type and the interchange type is comprised of two process: the verification process and the modification process. Also, in groups where interchange type collaborative utterances were generated actively and students could reach an agreement easily, students applied the teacher's help to their problem-solving process right after it was provided and could solve problems even though they had some mathematics errors. In interchange-type collaborative utterances, each student's participation varies with their individual achievement. In deliver-type collaborative utterances, students who solved problems by themselves participated dominantly. The conclusions of this paper are as follows. First, interchange-type collaborative utterances fostered students' active participation and accelerated students' arguments. Second, interchange-type collaborative utterances positively influenced the problem-solving process and it is necessary to provide problems that consider students' achievement in each group. Third, groups should be comprised of students whose individual achievements are similar because students' participation in collaborative utterances varies with their achievement.