• 한국수학교육학회지시리즈A:수학교육
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• 제41권2호
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• pp.157-172
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• 2002

The purpose of this study is to improve middle students'mathematical communication ability. We designed the mathematics instruction model based on Vygotsky's ZPD to develop the mathematical communication ability, and applied to 2nd grade students in Middle School. And we investigated the significant differences between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation in aspects of learning achievement, mathematical disposition, and mathematical communication abilities. The results of the study are as follows : 1. There is no significant difference in learning achievement within significance level .05 between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation by t-test. 2. There is a significant difference in reflection within significance level .01 and in self-confidence within significance level .10 by MANCOVA. 3. There is a significant difference in mathematical communication ability within significance level .01 between two groups by covariance analysis. In particular, there is a significant difference in reading within significance level .01 and in speaking within significance level .05 by t-test.

• East Asian mathematical journal
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• 제36권2호
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• pp.173-201
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• 2020

Mathematical modeling has been emphasized because it offers important opportunities for students to both apply their learning of mathematics to a situation and to explore the mathematics involved in the context of the situation. However, unlike its importance, mathematical modeling has not been grounded in typical mathematics classes because teachers do not have enough understanding of mathematical modeling and they are skeptical to implement it in their lessons. The current study analyzed the data, such as video recordings, slides, and surveys for teachers, collected in four lessons of teacher education in terms of mathematical modeling. The study reported different kinds of tasks that are authentic with regards to mathematical modeling. Furthermore, in teacher education, teachers' identities have separated a mode as learners and a mode as teachers and conflicts and intentional transition were observed. Analysis of the surveys shows what teachers think about mathematical modeling with their understanding of it. In teacher education, teachers achieved different kinds of modeling tasks and experience them which are helpful to enact mathematical modeling in their lessons. However, teacher education also needs to specifically offer what to do and how to do it for their lessons.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권3호
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• pp.345-365
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• 2006

This study, to effectively teach the concepts, principles and problem solving ability of the 2nd graders' learning of numbers and operations, offers realistic problem situation and focuses on the learning based on 'mathematization', one of the most important principles of RME (Realistic Mathematics Education) which is the mathematics education trend of Netherlands influenced by Freudenthal's theory. The instruction is applied to forty-one students of the 2nd grader for six weeks in twelve series in an elementary school, located in Seoul. To investigate the effects of the mathematising experience instruction for improving mathematical abilities, the group takes tests before and after the instruction. Also the qualitative analysis on the students' mathematising aspects through students' output at the instruction process is taken into account to evaluate the instruction's effects. The result shows that the mathematising experience instruction for improving mathematical abilities is proved to improve students' understanding of mathematical concepts and principles and their problem solving ability in learning numbers and operations after carrying out this instruction. Also the result indicates that students' mathematising aspects are mostly horizontal and vertical mathematization.

• 대한수학교육학회지:수학교육학연구
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• 제14권3호
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• pp.239-266
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• 2004

본 연구는 기존의 수학적 오류에 대한 연구들이 취했던 학생들의 현재 상태를 바탕으로 다양한 오류를 분석하는 방식이 아니라, 학생들의 문제해결과정에서 나타나는 수학적 오류를 인지심리학의 관점에서 분석가능한지를 탐색하는 것을 목적으로 한다. 이에, 본 연구는 Pauscal-Leone의 신피아제 이론을 중심으로 Schoenfeld의 구조 분석 단계(levels of analysis and structure)모형과 개념적, 인과적 관계의 이해를 형식화하는 도구로서 퍼지 인지 맵(Fuzzy Cognitive Map)을 활용하여 학생들의 증명 문제해결 과정에서 나타나는 오류를 분석하고 오도요인을 진단하였다. 연구 결과, 주어진 명제에서 정보를 해석할 때 F조작자가 강하게 활성화되어 나타나는 오도 요인으로 인하여 학생들은 증명에 필요한 개념노드를 충분하게 인출하지 못하거나 인과관계가 없는 개념노드를 나름대로 논리적으로 연결하여 잘못된 증명을 하고 있었다. 오류와 관련된 인지구조는 학생 나름대로의 논리적 알고리듬에 의한 LC 학습의 결과로 형성된 LC 학습구조로 볼 수 있다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제26권2호
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• pp.63-82
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• 2023

In the context of Korean educational research, the number of qualitative research studies has gradually increased since 2000. It has become one of the most important research methods today. The field of math education is no exception to this trend, and qualitative approaches are now becoming one of the main research methods. This increase in qualitative research has contributed to the provision of detailed information about educational practice, but at the same time, the overall level of credibility in the results of qualitative research seems to be lower than that of quantitative research. This study started with the problem consciousness that the number of qualitative studies is increasing in the field of mathematical education, but there is a lack of discussion on the methodology of applying qualitative research methods. In this study, among the papers published in the journal related to mathematical education, papers using a qualitative approach are analyzed focusing on cross-case analysis. Based on the analysis results, the tendency to use qualitative approaches is diagnosed, ways of improving the validity and trustworthiness of qualitative research results in the field of mathematical education are examined, and implications and suggestions are presented.

• 아동학회지
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• 제25권4호
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• pp.129-145
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• 2004

This study examined the effects of Literature-based Mathematical Activities using scaffolding (LMS) on the mathematical achievement, interest, and vocabulary of day care children. The experimental group of 15 boys and 15 girls was exposed to both literature and teacher's scaffolding while the comparison group of 14boys and 16 girls had traditional mathematics curriculum. The experiment was carried out for 8 weeks. ANCOVA and T-test were employed for a statistical analysis. The results revealed statistically significant differences in mathematical achievement, interest, and vocabulary between an experimental and control groups. We can conclude, therefore, that LMS is more effective in developing children's mathematical thinking abilities than a traditional mathematical curriculum.

• 한국학교수학회논문집
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• 제16권2호
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• pp.319-335
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• 2013

본 연구에서는 중국의 수학과 '교육과정표준'에서 4개의 하위 영역 중 하나로 제시하고 있는 실천과 종합응용의 내용을 구현한 연변의 초등학교 수학 교과서 내용을 분석하였다. 이를 위해 연변교육출판사에서 출판한 12권의 초등학교 수학 교과서를 이용하여 실천과 종합응용 내용을 분석하였다. '교육과정표준'의 실천과 종합응용에서는 수학적 지식과 경험을 활용하고 응용하여 도전적이고 종합적인 문제를 해결하고, 주요 학습내용에 대한 이해와 연계를 체험하도록 제시하고 있다. 교과서 분석 결과, 실천활동에서는 상황적 배경이 대부분 교실 안에서 할 수 있는 활동으로 제한되어 있다는 것과 종합응용에서는 수학 지식의 상호연계성을 인식할 수 있는 활동이 적다는 한계를 보였다. 수학적 과정 면에서는 문제해결이 주를 이루고 있으며, 부분적으로 의사소통 활동이 제시되어 있었으며, 추론 활동이 적게 나타났다. 또 수학적 활동에서도 대부분 체험활동이 주를 이루고 있으며, 수학적 지식을 타 교과나 타 영역에 통합할 수 있는 통합적 활동이 부족한 것으로 나타났다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제18권2호
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• pp.123-139
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• 2015

본 연구의 목적은 수학 수업에서 생산적 실패를 한 경험이 초등학생들의 수학적 문제해결력과 수학적 성향에 미치는 영향을 알아보는 것이다. 이를 위해 선행 연구를 바탕으로 생산적 실패를 경험할 수 있도록 수업 과정을 고안하였다. 연구대상으로 서울 은평구 Y초등학교 4학년 2개 학급을 선정하여 실험반은 생산적 실패를 활용한 수업을 진행하였으며, 비교반은 전통적인 강의식 수업을 진행하였다. 사전 사후 검사로 수학 개념이해 검사, 다양한 수학적 문제해결력 검사, 수학적 성향 검사를 실시하여 각각 t-검정하였으며, 학생들의 토의과정 및 활동지, 면담 등을 활용하여 수학적 문제해결력과 성향을 질적으로 분석하였다. 그 결과 생산적 실패를 경험한 학생들의 문제해결력과 수학적 성향에 유의미하게 개선되는 효과를 보였다. 이는 학생들이 실패를 통해 수학 개념을 스스로 구성하면서 보다 명확한 이해를 하는 과정에서 긍정적인 효과를 가져 온 것으로 보인다. 심층적인 추후 연구로 수학교과서 개발 및 수업 방법 개선에서 이를 활용해야 함을 제안하였다.

• 대한수학회보
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• 제38권3호
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• pp.517-526
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• 2001

In this paper, we study the continuous wavelet transform on the Heisenberg group H$^n$, and describe the related continuous multiscale analysis. By using the wavelet packet transform we obtain a reconstruction formula on L$^2$(H$^n$).

• East Asian mathematical journal
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• 제29권5호
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• pp.521-527
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• 2013

The aim of this paper is to define hyperholomorphic function with sedenion variables in $\mathbb{C}^8$ and research the properties of hyperholomorphic functions of sedenion variables. We generalize the properties of hyperholomorphic functions in sedenionic analysis.