• Journal of applied mathematics & informatics
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• 제31권1_2호
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• pp.119-130
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• 2013

In this paper, we obtain some generalized symmetry identities involving a unified class of polynomials related to the generalized Bernoulli, Euler and Genocchi polynomials of higher-order attached to a Dirichlet character. In particular, we prove a relation between a generalized X version of the power sum polynomials and this unified class of polynomials.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제5권2호
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• pp.87-98
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• 2001

The Center for Science Gifted Education (CSGE) of Chongju National University of Education was established in 1998 with the financial support of the Korea. Science & Engineering Foundation (KOSEF). In fact, we had prepared mathematics and science gifted education program beginning in 1997. It was possible due to the commitment of faculty members with an interest in gifted education. Now we have 5 classes in Mathematics, two of which are fundamental, one of which is a strengthened second-grade class gifted elementary school students, and one a fundamental class, and one a strengthened class for gifted middle school students in Chungbuk province. Each class consists of 16 students selected by a rigorous examination and filtering process. Also we have a mentoring system for particularly gifted students in mathematics. We have a number of programs for Super-Saturday, Summer School, Winter School, and Mathematics and Science Gifted Camp. Each program is suitable for 90 or 180 minutes of class time. The types of tasks developed can be divided into experimental, group discussion, open-ended problem solving, and exposition and problem solving tasks. Levels of the tasks developed for talented elementary students in mathematics can be further divided into grade 5 and under, grade 6, and grade 7 and over. Types of the tasks developed can be divided into experimental, group discussion, open-ended problem solving, and exposition and problem solving task. Also levels of the tasks developed for talented elementary students in mathematics can be divided into the level of lower than grade 5, level of grade 6, and level of more than grade 7. Three tasks developed and practiced are reported in this article.

• 한국학교수학회논문집
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• 제3권2호
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• pp.111-122
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• 2000

This study is focused on vocational high school students who feel hardly interested in mathematics and are considered to have very limited basic scholastic ability. It analyzes the data obtained by applying the material, extracted from the Internet and literature to school classes from March to July, for the purposes of improving the degree of scholastic achievement on the basis of the fact that interest induced learning materials were developed and applied to the students to bring about their motivation resulting in a positive change in understanding and attitudes to mathematics. According to the result of the analysis, the level of students' scholastic ability of both the comparative class and the experimental class were too low to become interested in mathematics. However, the experimental class students seemed to feel familiar to the learning materials rather than reluctant, and it appeared that their interest and behavior of learning began to change gradually in an extent. In addition to that, as an aspect of scholastic achievement there was not considerable difference between the two classes, but as time went, some valuable changes were found. Unfortunately, the size of group of the research was small and the period of the experimental classes was not extensively long, and therefore the same result might not occur in other groups. However, it is believed that in class-time, educating students by putting in learning materials bringing about relevant motivation to the class, will lead them to become interested in mathematics, and change their attitudes and understanding of mathematics. After all, scholastic achievement will be effective.

• 대한수학회지
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• 제38권3호
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• pp.561-575
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• 2001

Making use of the singular spectrum in the Denjoy-Carleman class we prove the microlocal decomposition theorem and quasianalytic versions of Holmgren's uniqueness theorem and watermelon theorem.

• 한국수학사학회지
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• 제15권2호
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• pp.113-124
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• 2002

The main purpose of this study is to classify types of class using computer in the school mathematics classroom. For this purpose, we will first survey the Tyle's theory relate to the curriculum model and its details. Then we will investigate the crucial points using computer in the school mathematics classroom in the viewpoint of Glaser's teaching model. From this, we will device several types of mathematics class using computer.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권3호
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• pp.435-456
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• 2005

This research aims to analyse implementation effects of the Real mathematics Education(RME) in the high school probability and statistics For this aim, two research questions are estabilished as fellows. (1) Is there any improvement of mathematical achievement in the class by RME's lecture than in the class by the mathematics text's lecture ? (2) Is there any improvement of mathematisation level in the class by RME's lecture than in the class by the mathematics text's lecture ? Before answering the above research questions, RME.`s lecture notes and ordinary lecture notes are developed based on the learning principles of the RME and mathematics textbook respectively. Two classes are randomly chosen from a high school located at midium size city and assigned as the experimental group and the control group respectively. The 20 hours of the RME's lecture notes is administerd to the experimental group and the 20 hours of the odinary lecture notes is administerd to the control group. It is shown that the class by RME's lecture is more effective in both of the mathematical achievement and the mathematisation activity than the class by the ordinary lecture. Hence, it is urged from the result of this research that RME's context will be developed and the RME's lecture will be implemented in the other field of high school mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제55권3호
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• pp.299-316
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• 2016

The abilities for 21st learners have recently changed and learners' engagement is emphasized. In flipped classroom, students learn the prerequisite concepts of the lecture online in advance and perform various types of activities based on interaction and engagement. As students in flipped classroom construct knowledge actively, students' engagement is very important. Therefore, I conducted a research of flipped mathematics class to help teachers to better understand students' engagement in flipped mathematics class. The flipped mathematics class was conducted for about 3 weeks with 29 middle school students and one teacher. Video and audio recordings, completed student worksheets and interview data were collected and analyzed using the qualitative method. The results of this study showed that students' engagement is influenced by diverse factors. Engagement factors were categorized by teacher factors, community factors, material factors, tasks and strategy factors, classroom culture factors. Each factor facilitates or suppresses behavioral, emotional, cognitive, agentic engagements, and sometimes several factors are related. The results of this study increase understanding of engagement through the example of a case study on flipped mathematics class.

• 호남수학학술지
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• 제39권4호
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• pp.575-590
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• 2017

A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

• 공학교육연구
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• 제20권6호
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• pp.3-11
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• 2017

The purpose of this study is to investigate the variables that learners should consider for learning persistence when applying blended learning to mathematics class which is a basic curriculum of engineering college. For this purpose, this study compared the basic mathematics class with the blended learning and the class without it. In addition, this study analyzed the influence of the learning outcomes of the blended learning on the willingness to learning persistence by using the self-efficacy and self-regulated learning variables that can predict it. As a result, it was found that the blended learning applied mathematics class of K university which is the subject of analysis in this study has higher self - efficacy, self - regulated learning, and learning persistence intention than general classroom. Finally, the results of this study are meaningful to provide the points to be considered for improving the learning performance when applying the blended learning to the subject class in the future.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제34권4호
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• pp.485-506
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• 2020

본 연구는 교사의 수학적 신념이 학생의 수학적 신념에 주는 영향을 잠재집단회귀모델(Latent Class Regression Model; LCRM)을 통해 분석하였다. 분석을 위해 본 연구는 잠재집단분석(Latent Class Analysis; LCA)을 통해 교사 60명과 그 교사에게 배우는 학생 1850명의 수학적 신념을 각각 분류한 강성권, 홍진곤(2020)의 연구결과를 활용하였다. 분석결과, '수학의 본질'에 대한 교사의 신념은 학생의 '수학교과', '수학문제해결', '수학학습' 신념에 영향을 주었다. 또한, '수학의 교수'와 '수학적 능력'에 관한 교사의 신념은 학생의 '수학교과', '수학문제해결', '자아개념' 신념에 영향을 주었다. 이를 통해 본 연구는 교사의 수학적 신념이 학생의 수학적 신념에 실질적인 영향을 끼친다는 것을 통계적으로 실증하였다. 이러한 연구결과는 교사들의 연수와 관련한 목표와 내용의 설정에 도움을 줄 수 있을 것이다.