• Korean Journal of Mathematics
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• 제8권2호
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• pp.181-186
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• 2000

We define the concept of a F-regular flow as a generalization of that of a F-proximal flow, and investigate its properties.

• Korean Journal of Mathematics
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• 제28권3호
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• pp.483-488
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• 2020

In this paper, a new characterization concept is introduced for rings with identity, called the identical characteristic. Some general results are obtained for various ring classes and illustrated by several examples.

• 한국수학사학회지
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• 제13권1호
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• pp.33-48
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• 2000

In this paper we collect the mathematical problems from the past which can be used in classroom instruction. These problems can show the cultural value and the utility of mathematics, and encourage learning and illuminate the concept being taught.

• 한국학교수학회논문집
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• 제1권1호
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• pp.97-109
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• 1998

The activities of teaching and learning are to try to reach the lesson object most closely in many ways. Considering that the lesson objects are to get the principle or law of a concept, to acquire the mathematical function, to master it through repeated exercises and to solve mathematical problems, we need many ways to reach such objects. Among the many ways, we can first think of one: the students will learn with curiosity and according to their own ability or advancing level in learning when teachers study and prepare necessary contents enough in advance by using computers, showing the right program to learners' needs. For example, defining definite integral by measuration by parts will help understand measuration by parts well and know the meaning of definite integral correctly, In teaching and learning by the use of this program, the educational effects are expected as follows. 1. It is thought that this program will stimulate the desire for and interest in learning because it used animation and acoustic effect. And voluntary and positive thinking activity will be shown. 2. It is expected that the conviction of formulas will be got and the concept of definite integral will be remembered firmly by showing how to measure the width of circle with the use of measuration by parts in various other ways instead of the ways used at present. 3. It is expected that students will feel the pleasure of mathematics in life when they recognize mathematical facts scattered really in our life rather than mathematical difficulties. 4. It is expected that the repeated review of programs already designed will remove the fear of incomplete parts and help review again. 5. It is certain that positive attitude in life will be formed as teacher-centered class is changed into learner-centered class and unwilling study is changed into self-oriented study. However, I think this program is insufficient for humanbeing-centered education given directly in contact with students on the ground of the variety in mathematical education and applications in many ways. And mechanically inhuman computers leave some solutions to be desired

• 인간식물환경학회지
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• 제23권3호
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• pp.321-332
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• 2020

Background and objective: The concept of 'money' in the numbers and operations domain is a fundamentally necessary domain of economic life. This study was conducted to examine the effects of a horticulture-mathematics integration program on mathematical attitude and money calculating ability of high school students with intellectual disabilities. Methods: We analyzed the changes in the mathematical attitude and money calculating ability of students with mild intellectual disabilities in S special school in the city of D, Republic of Korea, with 12 students in the control group and 12 students in the experimental group, from August 27 to October 29, 2019. Results: The results of the comparison showed no statistically significant changes in the three items of mathematical attitude for the control group, while the experimental group, which took part in the horticulture-mathematics integration program, showed statistically significant differences across all three items, such as self-concept about the subject (p = .003), attitude toward the subject (p = .004), and study habit related to the subject (p = .012). The horticulture-mathematics integration program, which was developed by integrating horticultural activities and the mathematics curriculum, used plants and horticultural activities to provide students with positive experiences in mathematics. These included the sense of closeness, curiosity, interest, attention, and enjoyment, leading to positive changes in mathematical attitude. In terms of money calculating ability, both the control group and experimental group showed statistical differences across the three items, but the experimental group showed greater degrees of increase, 15.0 or more, in the scores compared to the control group. Conclusion: These results suggest that utilizing horticultural materials as a part of purchase learning programs with elements of money calculation chapters in the mathematics curriculum could lead to the improvement of students' ability in money calculation. These positive changes are thought to be related to the high degrees of interest in horticulture among students, which led to active participation in the program and enabled the simple and repeated purchase activities in the program to generate positive changes in the money calculation ability of the students.

• 대한수학교육학회지:수학교육학연구
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• 제14권1호
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• pp.129-142
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• 2004

구성주의는 오늘날 수학교육학 분야의 중심적인 이론으로서 많은 연구자들의 관심의 대상이 되고 있다. 구성주의 수학교육론에서 가장 핵심적인 개념은 '구성'이며, 수학적 지식의 구성의 의미와 메커니즘의 이해는 수학교육학 연구 영역의 핵심적인 문제이다. 이 글에서는 Dewey의 지식론을 기초로 하여 '수학적 지식의 구성'의 의미를 보다 명확하게 드러내 보고자 하였다. 이를 위하여 Kant와 Piaget에게 있어서의 지식의 구성의 의미를 고찰하고 그것을 Dewey의 견해와 비교할 것이다. 마음과 세계 사이의 상호작용을 통하여 지식이 구성된다고 보았다는 점에서 Dewey는 Kant, Piaget와 일치하지만 차이점 또한 존재한다. 다음으로 이와 같은 고찰을 수 개념에 비추어 보다 구체적으로 살펴볼 것이다. 마지막으로 Dewey의 구성의 개념이 지식의 본질에 관한 Dewey의 철학적 견해와 밀접히 관련되어 있음을 확인하고 이에 근거하여 구성주의적 지식론의 자연스러운 논리적 귀결인 구성주의적 수학 교수·학습 원리를 제시할 것이다. 그것은 첫째 발생적 구성의 원리이고 둘째 점진적인 의식화의 원리로 요약될 수 있다.

• 대한조선학회논문집
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• 제45권2호
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• pp.192-201
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• 2008

The design process becomes more difficult due to the increasing complexity of products. Thus, without any proper design experience, designer cannot handle his design problems systematically. Besides, the conventional optimal design method cannot be used effectively at the early design stage, since most design problems must be formulated in terms of objective and constraint functions based on the mathematical concepts of Operation Research. Thus, in this paper, new design concept based on FBS (Function-Behavior-Structure) design model is introduced to help the novice designer formulate the complex design problems systematically into a mathematical form. In this FBS model, function means the designer's new intents designer wants to create for, structure stand for a final product configuration and behaviour is a product's performance. FBS design model is thus rather totally different concept used for formulating design problem, compared with conventional optimal design method. To validate this new FBS model, 330K VLCC design case is performed, and we found, though it is one design example case, that this new design concept could be effectively used for future ship design problems since, during the formulating design problem, the only engineering terminology such as function, structure, and behaviour of design product is used based on the engineering concepts, instead of mathematical terminology such as objective and constraints.

• 한국수학교육학회지시리즈A:수학교육
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• 제61권2호
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• pp.305-322
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• 2022

이 연구의 목적은 중학교 수학교과서에 제시된 각 개념 도입 및 전개 양상을 살펴보고, 이를 토대로 수학교과서의 집필 방향 및 각 지도를 위한 시사점을 도출하고자 하였다. 이를 위해 1차부터 2015 개정 교육과정까지 중학교 1학년 수학교과서 57권을 수집하여 각 및 각 주변 개념들의 표현 방식을 분석하였고, 그것을 바탕으로 결론을 도출하였다. 분석 결과, 중학교 교과서에서는 각을 제시할 때 초등학교와 달리 각의 회전 관점 및 동적 관점을 추가하여 다면적으로 접근하고 있으며, 각의 기술적 정의는 2009개정 교육과정 이후로는 기호 사용을 제외하고 대체로 초등학교 교과서와 일치하는 것으로 나타났다.

• 대한수학교육학회지:수학교육학연구
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• 제11권1호
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• pp.179-191
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• 2001

The Study investigated the contexts and probable difficulties of the teaching of the number of cases and the introduction of probability concept. In our mathematical curriculum, the contexts of the teaching of probability can be classified into five cases. We suggested some intuitive diagrams to be likely to decrease the cognitive complications caused by the equal possibilities of the unit event in the cases, respectively.

• Korean Journal of Mathematics
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• 제25권1호
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• pp.61-70
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• 2017

In this paper, we introduce the concept of statistically sequentially quotient map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we give an affirmative answer for a question by Fucai Lin and Shou Lin.