• 한국수학교육학회지시리즈A:수학교육
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• 제57권4호
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• pp.433-452
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• 2018

The purpose of this study is to provide implications for improvement of mathematics textbook based on discursive approach to textbook analysis that complementarily combines a communicational approach to cognition and social semiotics. For this purpose, we reconstructed an analytic framework for discursive approach to written discourses of Korean textbook and CMP, and applied it to our analysis. Results show that several characteristics in meanings were developed by the use of words and visual mediators. First, in the case of ideational meaning, there were qualitative and quantitative differences between vocabularies used and between information addressed by visual mediators. Second, in the case of structural meaning, an offer and application of procedure was emphasized in a Korean textbook, whereas expectation and selection experiences of diverse possibilities for problem solving was underlined in CMP. In the case interpersonal meaning of student-author, imperative instructions were paid attentions in a Korean textbook. In contrast, students' interdependence and active participation were stressed in CMP. Therefore, this study addressed ideas about how to analyze mathematics textbooks based on integrated meanings developed by the use of words and visual mediators. In addition, it distributes implications for improvements of Korean mathematics textbooks through the analytic framework of both mathematical meanings and interpersonal meanings of student-author.

• 한국수학사학회지
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• 제28권1호
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• pp.15-29
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• 2015

This study aims to analyze how the history of mathematics is used in Chinese mathematics textbooks. As a framework for analysis, we categorized nine types of using the history of mathematics in textbooks. We analyzed 18 mathematics textbooks for Chinese elementary and middle schools. As a result, we found that various types of using the history of mathematics were adopted in Chinese textbooks except for explorations of mathematical errors in history. We also noticed three characteristics: preference to using for motivation and reading matters in elementary school levels, high frequencies of using problems from traditional mathematical books and origins of mathematical concepts or symbols, and emphasis on ethnic superiority through the Chinese traditional mathematics. Based on the results of analysis, we discussed and induced some implications for using the history in our mathematics textbooks.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제15권1호
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• pp.59-68
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• 2011

This paper proposes a modified category framework derived from VAMP and VIMT projects for describing teachers' mathematical and pedagogical values, and examines the dialectical relations between values awareness/willingness and teaching, based on case studies of student teachers of secondary mathematics from a follow-up project of VIMT. The preliminary results show that student teachers would teach certain values depending on the awareness of values priority, willingness to teach, their teaching capabilities and classroom conditions. So, mathematics teacher educators should provide relevant courses to facilitate student teachers to be aware of their implicit values and be willing to enact these values, and to empower student teachers with the knowledge and experiences to teach the values.

• 충청수학회지
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• 제23권1호
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• pp.73-82
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• 2010

In an infinite-dimensional Hilbert space, the normal Mann iteration has only weak convergence, in general, even for nonexpansive mappings. The purpose of this paper is to modify the normal Mann iteration to have strong convergence for a closed quasi-$\phi$-nonexpansive mapping in the framework of Banach spaces.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제19권1호
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• pp.1-17
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• 2015

In this study, we examined the prompted reflections of four middle school mathematics teachers after their lessons. We used Cohen and Ball's instructional triangle (1999) to investigate teachers' reflections. With this framework, we addressed questions of what characteristics in reflections the participant teachers have and how the reflections differ over time. Findings indicated that the teachers showed differences in the instances of assessing and changes over time in the ways they gained more insights about students' understanding.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권2호
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• pp.83-96
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• 2011

This work proposes a binomial method for pricing the cliquet options, which provide a guaranteed minimum annual return. The proposed binomial tree algorithm simplifies the standard binomial approach, which is problematic for cliquet options in the computational point of view, or other recent methods, which may be of intricate algorithm or require pre- or post-processing computations. Our method is simple, efficient and reliable in a Black-Scholes framework with constant interest rates and volatilities.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.1053-1071
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• 2022

The purpose of this article is to establish some fixed point theorems, a common fixed point theorem and a coincidence point theorem via contractive type condition in the framework of complete partial metric spaces and give some examples in support of our results. As an application to the results, we give some fixed point theorems for integral type contractive conditions. The results presented in this paper extend and generalize several results from the existing literature.

• 대한수학회논문집
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• 제38권3호
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• pp.893-900
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• 2023

In the present study, we consider some curvature properties of generalized B-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized B curvature tensor on Kenmostu manifold. Later we formulate generalized B pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized B ϕ-recurrent Kenmotsu manifold.

• Korean Journal of Mathematics
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• 제31권4호
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• pp.391-403
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• 2023

In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C^*-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.

• 한국학교수학회논문집
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• 제11권4호
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• pp.595-608
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• 2008

본 연구는 효과적인 수한 괴수(teaching)를 위해 괴사들이 갖추어야 할 지식 기반영역들을 소개하고, 지식 기반 영역 중에서도 가장 핵심 영역인 수학적 지식에 대한 다양한 정의와 구조에 관한 모델을 소개하고자 한다. 이를 통해, 본 연구는 교사지식 영역에 대한 전반적인 이해를 제공 할 뿐만 아니라, 수학적 지식에 대한 구체적이고 이론적인 틀을 제공하고자 한다.