DOUBLY NONLINEAR PARABOLIC EQUATIONS RELATED TO THE LERAY-LIONS OPERATORS: TIME-DISCRETIZATION

신기연,강수진 영남수학회 2010 East Asian mathematical journal Vol.26 No.3

In this paper, we consider a doubly nonlinear parabolic equation related to the Leray-Lions operator with Dirichlet boundary condition and initial data given. By exploiting a suitable implicit time-discretization technique, we obtain the existence of global strong solution.

중등 학교수학의 교수-학습과 그래핑 계산기 활용과의 관계에 대한 고찰

조정수,Cho, Cheong-Soo 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

The purpose of this study is to review previous studies regarding the relationship between graphing calculators usage and teaching and learning school mathematics and to suggest practical implications for further research in mathematics education. Through reviewing the total of 21 studies five subsections are divided in order to gain the answers to the research questions. The results of this study are as follows: students typically used graphing calculators in drawing graphs of functions, and they used graphing calculators as a tool for calculations, transformations, data collection and analysis, visualization, and checking. The implications for further research are suggested corresponding to these results.

교과서에서 나타난 작도방법의 정당화

강미광,황슬기,Kang, Mee-Kwang,Hwang, Seurgi-Gi 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

This study is to provide improved teaching methods on classical geometric construction education by a straightedge and compass in school mathematics. In this paper, justifications of construction methods of Korean textbooks, for perpendicular bisector of an segment and angle bisector are discussed, which can be directly applicable to teaching geometric construction meaningfully. Based on these considerations, several implications for desirable teaching methods concerning geometric construction were suggested.

삼각형 한 내각의 삼등분선 길이

이상근,이춘구,Lee, Sang-Keun,Lee, Chun-Goo 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

In this study, we study on the length of bisector of angle by the method using the area, the method using the vector and the method using the similarity, also the length of trisector of angle by the method using the sine law, the method using the area and the method using the second law of cosine in triangle, respectively. And we study on the length of trisector of angle with the length of bisector in angle. This study is expected to use the learning materials for the interesting construction and the problem solving using trigonometric functions.

교구를 활용한 학습활동이 각과 각도의 개념이해에 미치는 영향

백종림,최재호,Baek, Jong-Rim,Choi, Jae-Ho 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

The purpose of this paper was to develop manipulative materials to teach the angle concepts and construct a teaching-learning program by using that. Furthermore, this study analyzed how does the program affect students understanding of the angle concepts. To check the effects of learning activities with manipulative materials on the understanding of an angle concepts, applied observation during class and write a mathematics journal writing, a description of students impressions at the end of the class and analyzed before and after test paper. We find that students approached the subject more friendly and knew well about the mathematical concepts by using materials. Furthermore, this activity helped that way to solve add and subtract of the angle, estimate ability, round angle concept, positive response in mathematics learning.

(예비)교사를 위한 완비성의 학습과 지도에 관한 소고

이병수,Lee, Byung-Soo 영남수학회 2010 East Asian mathematical journal Vol.26 No.4

In this paper, the author focuses on the teaching-level and learning-level of the completeness axiom and its applications on [0,1] and $\mathbb{R}$, $\mathbb{R}{\times}\mathbb{R}$, $\mathbb{R}{\times}\mathbb{R}{\times}\mathbb{R}$ by (expected) teachers in the school mathematics, which is usually introduced in the class of real analysis of university mathematics. Firstly the author considers the properties of the completeness axiom and its 19 equivalent theorems, next he deals with its importances in the school mathematics and finally he suggests the teaching and learning of the concepts on the completeness axiom and its applications on [0,1] and $\mathbb{R}$, $\mathbb{R}{\times}\mathbb{R}$, $\mathbb{R}{\times}\mathbb{R}{\times}\mathbb{R}$ by (expected) teachers in the school mathematics.

초등수학 기하문제해결에서의 시각화 과정 분석

윤여주,김성준,Yun, Yea-Joo,Kim, Sung-Joon 영남수학회 2010 East Asian mathematical journal Vol.26 No.4

Geometric education emphasize reasoning ability and spatial sense through development of logical thinking and intuitions in space. Researches about space understanding go along with investigations of space perception ability which is composed of space relationship, space visualization, space direction etc. Especially space visualization is one of the factors which try conclusion with geometric problem solving. But studies about space visualization are limited to middle school geometric education, studies in elementary level haven't been done until now. Namely, discussions about elementary students' space visualization process and ability in plane or space figures is deficient in relation to geometric problem solving. This paper examines these aspects, especially in relation to plane and space problem solving in elementary levels. Firstly we propose the analysis frame to investigate a visualization process for plane problem solving and a visualization ability for space problem solving. Nextly we select 13 elementary students, and observe closely how a visualization process is progress and how a visualization ability is played role in geometric problem solving. Together with these analyses, we propose concrete examples of visualization ability which make a road to geometric problem solving. Through these analysis, this paper aims at deriving various discussions about visualization in geometric problem solving of the elementary mathematics.

각뿔과 각뿔대의 부피에 대하여 산학서("산학정의(算學正義)(상편(上編))", "구장술해(九章術解)")와 한국.중국수학교과서와의 내용 비교연구

박영식,최길남,Park, Young-Sik,Choi, Kil-Nam 영남수학회 2010 East Asian mathematical journal Vol.26 No.4

In this paper, we investigate the methodology to calculate the volume of the pyramid and frustum of the pyramid that is found in Gu Jang Sel Hae and San Hak Jeong Ui(The first volume)text. Comparing and analyzing content in Korean and Chinese mathematics education textbooks that uses as a foundation the aforementioned methodology, it is proposed that in future development of mathematics education curriculum the area of solid geometry be taught in greater depth in basic study guides.

연산의 관점에서 본 등식의 성질에 관한 고찰

김부윤,정영우,박영식,Kim, Boo-Yoon,Chung, Young-Woo,Park, Young-Sik 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

We study the theoretical background on the relationship between the equality property and operations treated in different sub-areas in secondary school mathematics curriculum respectively studied. Furthermore, we discuss in detail the equality property in rational numbers field $\mathbb{Q}$ and the real numbers field $\mathbb{R}$. Through this study, professional knowledges of school teachers are enhanced so that these aforementioned knowledges are connected smoothly to teaching activities in classrooms.

산학서(算學書)에서의 평면도형 넓이에 관한 연구

최길남,박영식,Choi, Kil-Nam,Park, Young-Sik 영남수학회 2010 East Asian mathematical journal Vol.26 No.2

In this paper, we investigate areas of plane in some San Hak Seos, and elementary and middle school mathematics education in Korea and China.