• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.443-455
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• 2002

정보화시대를 맞아 어느 때보다도 활발히 전교과에 걸쳐 학생의 의사소통의 능력을 향상하기 위한 다양한 방법이 모색되고 있다. 학교현장의 수학교육자는 수학교수-학습에서 어떤 상호작용이 일어났는지, 특히 다루기 쉬운 도구로써 계산기가 주어졌을 때 어떻게 학생의 지식 발달이 언어적 상호작용에서 이루어지는지를 알아야 한다. 본 연구는 이러한 학생의 상호작용을 분석할 때 필요한 분석도구를 개발하는 것이다. 예비연구와 본 연구를 통해 언어적 상호작용의 구성요소가 세 영역, 즉, 지식구성 진술, 사회적 상호작용 진술, 그리고 교사의 교육어 진술에서 개발되었다. 본 연구에서 개발한 자료를 이용하여 특히 학생의 지식 구성 발달에 따른 상호작용의 구성요소의 특징을 파악하고 이에 필요한 언어적 상호작용의 역할과 활성화 방안을 모색하는 연구가 가능하다.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.96-98
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• 1998

객체와 객체, 객체와 환경(공간 객체) 사이의 상호작용을 Field 라는 개념을 도입하여 개념적으로 장 이론이라는 방법론으로 객체들간의 상호작용을 해석하였다. 구체적으로 환경은 공간에 대한 수학적 개념으로 정의하고 객체와 환경사이의 상호작용은 해석하였다. 구체적으로 환경은 공간에 대한 수학적 개념으로 정의하고 객체와 환경사이의 상호작용은 일련의 상호 의존적 사실들로 표현하였다. 따라서 공간에 대한 수학적 개념과 힘의 역동 개념을 동원해서 객체와 환경이 주어진 상황에서 나타나는 구체적인 행동을 기술한다. Vector, Algebra, Topology 등과 같은 물리학적 및 수학적 개념을 도입하여 객체 상호작용을 해석하기 위한 과학적 이론 시스템 개발에 활용할 가능성을 제시하였다.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.381-408
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• 2002

본 논문에서는 테크놀로지를 활용해 본인이 직접 조작하고 시각화 할 수 있는 환경에서 함수와 그래프, 그를 이용한 문제해결에서 학생들이 수학적 개념 발달을 통해 어떠한 언어적 상호작용이 일어나는가에 관해 조사하고자 한다. 또한 이때 나타나는 언어적 상호작용을 분석하기 위한 분류 틀을 개발하여 언어적 상호작용의 양상을 밝히며, 컴퓨터가 학생들의 의사소통에 어떠한 역할을 하는가를 알아봄으로써 학생의 인지 발달은 어떻게 이루어지는 가를 파악하여 현장 수업에 기여하고자 한다.

• Korean Journal of Childcare and Education
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• v.10 no.2
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• pp.175-192
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• 2014

The purpose of this study was to investigate the differences in perceived importance of mathematical education (perceived importance) and mathematical interaction of 5-year-olds' mothers according to contents of mathematical education. Second, we intended to examine whether mothers' understanding of purpose of mathematical education predicted on their perceived importance and mathematical interaction. Third, we analyzed relative influence between mothers' perceived effectiveness of concrete materials and worksheets on their perceived importance and mathematical interaction. The subjects consisted of 151 mothers of 5-year-olds lived in D city and K province in Korea. The results were as follows: First, mothers' perceived importance and mathematical interaction were higher in 'number and arithmetic'. Second, mothers' understanding of purpose of mathematical education predicted their perceived importance in all contents and mathematical interaction in 'number and arithmetic', 'geometry', and 'algebra'. Third, mothers' perceived effectiveness of concrete materials predicted better in most contents of mathematical education. Meanwhile, in 'number and operation', mothers' perceived effectiveness of worksheets did a predictive role in their importance awareness. These results were discussed in terms of necessity of a parent education program to provide practical information about contents and methods of mathematical education for their 5-year-old children.

• School Mathematics
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• v.5 no.3
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• pp.297-314
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• 2003

Mathematics students must appropriate their mathematical knowledge which has the definition and theorem of mathematics, algorithm, reasonable thought, heuristic, and mathematics language, and so on. That is, students should construct, use, and apply their own knowledge during learning. Appropriation of mathematical knowledge is practicable when mathematics language is in charge of many functions that Vygotsky cited. To reach the potential development level with mathematics language, students need the zones that they interact themselves and peers, as well as teacher. On that ground, this study presented the interactional zones of IZPD, ZPP, and ZAD, and modeled mathematics learning. By the case of 2 students, we found that ZPP and ZAD were necessary and important.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.427-450
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• 2012

Using representations is essential for students to organize their thinking, to solve problems and to communicate each other. Students express information or situations suggested by problems easily and organize and infer them systematically using representations. Also, teachers are able to comprehend students' levels of understanding and thinking process better through them, and influence their representations. This study was conducted to understand mathematical representations of students uprightly and to seek implications for proper teaching of representations, by analyzing representations of students in mathematical problem solving process and the transformation process of representation via interactions.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.1-22
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• 2010

The purpose of this study was to examine the relationship between teacher's role and interaction patterns in mathematics classrooms. Teacher's role was divided into usual practices with students, usual practices with content and usual practices with students and contents, and interaction patterns were classified into report, inquiry and discussion. The subjects in this study were teachers and students in three fourth- grade classes in T elementary school located in Seoul. After the classes of every math teacher were observed, three teachers who played distinctively unique roles were selected in accordance with the results of the first-semester autonomous supervision, of open class for parents and of the instructional observation. Thus, there was a close relationship between the teacher roles and interaction patterns. And it's concluded that students are able to have a more discussion on each other's ideas in the student-centered classroom, and that teachers should perform active roles in that process. Given the findings of the study, there are some suggestions: First, the teachers appeared to fulfill consistent roles when their videotaped classes, study aids and performance assessment materials were analyzed, and they should play more active roles in mathematics class. Second, they should try to create the kinds of climate that encourages students to come up with ideas in an active manner. Third, earlier studies had focused on student-teacher interaction patterns, but this study found that the roles of the teachers depended on interaction with not only students but study aids and performance assessment materials, and that the interaction patterns hinged on their roles as well. Therefore more profound research efforts should be directed into this issue.

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.133-161
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• 2019

In this paper, we analyzed the case of supporting the mathematical modeling activities through the group creativity in everyday class of 9th grade. The details are as follows. First, through the theoretical review, the meaning of group creativity according to sociocultural perspective and the sociocultural characteristics of mathematical modeling were confirmed. Second, we experimented in a classroom consisting of 5 groups of 4 students, and conducted a case study focusing on a well developed group of group creativity. The results are as follows. First, group creativity with various types of interaction and creativity synergy was observed at each stage of mathematical modeling. According to the stag e of mathematical modeling and the type of interaction, different creative synergy was developed. Second, the developed group creativity supported each step of mathematical modeling. According to the stage of mathematical modeling and the type of interaction, group creativity supported mathematical modeling activities in different directions.

• Communications of Mathematical Education
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• v.8
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• pp.165-177
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• 1999

1989년에 NCTM에서 Curriculum and Evaluation Standards for School Mathematics(이하 Standards)를 발간한 이래로 수학교육은 Standards의 정신에 많은 영향을 받아왔다. 90년대의 수학교육은 학생들의 수학적인 문해능력(literacy)의 중요성을 반영하여 학생들이 수학의 가치를 느끼도록 하며, 자신들의 수학적 능력에 대해서 확신을 가지게 하며, 수학적인 문제해결자가 되도록 하며, 수학적으로 의사소통하는 것을 학습하며, 수학적으로 추론하는 것을 학습함으로서 아동들에게 수학적인 힘을 길러주는데 중점을 두고 있다. 특히 수학적 의사소통능력은 학생들의 수학적인 힘을 기르는데 매우 중요하다. 아동들의 수학적인 의사소통 능력을 향상시키기 위해서 교사는 아동들이 상대방의 아이디어가 받아들일 만한 것인지에 대해서는 비판하고 토론을 하도록 하되 발표한 사람을 비난하는 일이 없도록 각 학급에서는 의사소통과 상호작용에서의 사회적인 규범과 사회-수학적인 규범이 형성되도록 해야 할 것이다. 이런 규범을 바탕으로 교사와 학생이 협력함으로써 서로의 아이디어에 대해 원활한 의사소통을 이룰 수 있다. 그래서 무엇보다 중요한 것은 문화공동체로서의 교실내에 의사소통을 촉진할 수 있는 규범을 형성하는 것이라고 할 수 있다. 이런 규범은 교사 혼자의 노력으로 이루어지는 것이 아니라 교실 구성원 전체의 상호작용에 의해서 장시간에 걸쳐서 형성된다고 할 수 있다.

• Journal of Korean Tunnelling and Underground Space Association
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• v.11 no.4
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• pp.427-435
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• 2009

This study deals with the analytical solution for soil-lining interaction in a deep and circular tunnel. Simple closed-form analytical solutions for thrust and moment in the circular tunnel lining due to static and seismic loadings are developed by considering the relations between displacement and interaction forces at the soil-lining interface. The interaction effect at the soil-lining interface is considered with new ratios (the normal and shear stiffness ratios). The effects of the ratios on the normalized thrust and the normalized moment are investigated.