• The Mathematical Education
• /
• v.54 no.2
• /
• pp.119-141
• /
• 2015

As the population of senior citizens has been increasing very rapidly, the importance of their education is gradually emphasized. To maintain their mental and physical health, the solution on the biological, physical, and educational approach might be helpful and effective. Especially in the aspect of the educational approach, the mathematics education can be regarded as an important subject for keeping the seniors in a good mental health. The reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability. By the reason, this study aimed to develop mathematical materials for enhancing seniors' thinking ability, and the seniors usually belong to fifties and sixties. To this purpose, this study selected the six essential mathematical thinking elements and four mathematical domains of 'number and operation', 'shape and measurement', 'possibility', and 'patterns'. Based on these elements, the mathematical materials including the nine types of activities using games and commercial manipulatives were developed. On the subject of 52 female seniors, the instruction was conducted using a part of the materials during 100 minutes. Also, 13 survey items were developed beforehand, and the survey was implemented after the class, and eventually 48 seniors responded in the survey. As a result, it is meaningful to develop the materials not only for enhancing mathematical thinking ability but for understanding and utilizing the content of materials. Furthermore, it is requested that those materials be differentiated according to the degree or the difference of age, academic ability, and sex.

• The Mathematical Education
• /
• v.46 no.2 s.117
• /
• pp.173-192
• /
• 2007

We define mathematical learning as a process of overcoming framing difference of teachers and students, two main subjects in a mathematics class. We have reached this definition to the effect that we can grasp a mathematical classroom per so and understand students' mathematical learning in the context. We could clearly understand the process in which the framing differences are overcome by analyzing mutual negotiation of informants in specific cultural models, both in its form as well as in its meaning. We review both of the direct and indirect forms of negotiation while keeping track of 'evolution of subject' in terms of content of negotiation. More specifically, we discuss direct negotiation briefly and review indirect negotiation from three distinct themes of (1) argument structure, (2) revoicing, and (3) development patterns and narrative structure of proof. In addition, we describe the content of negotiation under the title of 'Evolution of Subject.' We found that major modes of mutual negotiation are inter-reference and appropriation while the product of continued negotiation is inter-resemblance.

• Kyungpook Mathematical Journal
• /
• v.60 no.2
• /
• pp.335-347
• /
• 2020

In this paper, we take into account a parasite-host system with reaction-diffusion. Firstly, we derive conditions for Hopf, Turing, and wave bifurcations of the system in the spatial domain by means of linear stability and bifurcation analysis. Secondly, we display numerical simulations in order to investigate Turing pattern formation. In fact, the numerical simulation discloses that typical Turing patterns, such as spotted, spot-stripelike mixtures and stripelike patterns, can be formed. In this study, we show that typical Turing patterns, which are well known in predator-prey systems ([7, 18, 25]), can be observed in a parasite-host system as well.

• Proceedings of the Korean Operations and Management Science Society Conference
• /
• 2002.05a
• /
• pp.632-638
• /
• 2002

In novelty detection, one attempts to discriminate abnormal patterns from normal ones. Novelty detection is quite difficult since, unlike usual two class classification problems, only normal patterns are available for training. Auto-Associative Multi-Layer Perceptron (AAMLP) has been shown to provide a good performance based upon the property that novel patterns usually have larger auto-associative errors. In this paper, we give a mathematical analysis of 2-layer AAMLP's output characteristics and empirical results of 2-layer and 4-layer AAMLPs. Various activation functions such as linear, saturated linear and sigmoid are compared. The 2-layer AAMLPs cannot identify non-linear boundaries while the 4-layer ones can. When the data distribution is multi-modal, then an ensemble of AAMLPs, each of which is trained with pre-clustered data is required. This paper contributes to understanding of AAMLP networks and leads to practical recommendations regarding its use.

• The Mathematical Education
• /
• v.45 no.4 s.115
• /
• pp.507-518
• /
• 2006

There is a great need to find new topics which are good to evaluate and to encourage the mathematical creativity of gifted students, For the purpose to find such a topic, we study Ho-bak-go-nu game that is one of Korean traditional games and a typical alignment game. By analyzing patterns of possible alignment, the author gives a complete solution to win or not to lose according to the rules chosen by players. The author also poses several class-models including a test for the class of gifted students based on the analysis of real classes on Ho-bak-go-nu game.

• Journal of Biosystems Engineering
• /
• v.11 no.1
• /
• pp.64-75
• /
• 1986

The objective of this study was to develop a mathematical model for optimum design of diversified farming systems which have the regional characteristics. For this purpose, the farming surveys were conducted for mainly 1984 agriculture. They were carried out on January and July 1985 for three villages of central region of Korea. The surveyed data were analyzed by systems analysis and the diversified farming systems were modeled. They consist of four and six croping patterns for paddy and upland, two and three kinds of fruit crop and livestock, and seven kinds of farm machinery for each work system. Then a mathematical model was developed by the multiple objective decision making (MODM) method in order to design optimum systems of diversified farming. It consists of 23 decision variables, two objective functions and nine constraint functions. The goals of objective function are maximization of agricultural incomes and power inputs of farm machinery, and the modeled factors for constraint function are arable land, available capital, labor, and land utilization.

• Research in Mathematical Education
• /
• v.9 no.3 s.23
• /
• pp.275-284
• /
• 2005

Tessellations are the pattern of iterations of geometric symmetry and translation. We can find them in the works of Escher who is the famous Dutch artist, and the American Indean life. Also, we can find the beauty of tessellations in the Korean traditional house door, Buddist temple architecture, palace's fence, etc. In the article, the figures of patterns we present are bird, fish, cat, pig, elephant, penguin, child and horse riding man, including Escher's, which are constructed using the computer geometric program, GSP (Geometer's Sketchpad). We want to talk about girl's disposition toward mathematics related to the figures. If they are supported by this kind of interesting figures constructed by their own hands, students will have more interest in learning geometric figures.

• Journal of Educational Research in Mathematics
• /
• v.18 no.4
• /
• pp.435-453
• /
• 2008

This study was on autobiographical traditions, in particular, autobiographies of teachers. First, autobiographical method was suggested as a kind of qualitative inquiry on the teaching mathematics. Second, as a case of autobiographical method, autobiographies of an elementary school teacher were presented. In the case, the author of autobiographies was also a researcher. It showed the struggles of elementary school teacher to know and to practice her teaching mathematical patterns. Autobiographies of teachers can be used as good sources for reflection of teachers, and also as a method for teachers education. And then, for communicating with teaching strategies among teachers in communities, they can be used. One the other hand, autobiographies of teachers can be powerful materials for researches on teaching.

• Journal of Fisheries and Marine Sciences Education
• /
• v.11 no.2
• /
• pp.184-202
• /
• 1999

The roll damping characteristics of the three models of a small fishing(3 ton class fishing vessel), such as the bare hull, hull with bilge keels, and hull with bilge keels and a central wing are investigated by the free roll and head waves tests in calm water in a towing tank with the various forward speeds, initial angles and OG's. The experimental results are compared with the numerical results of mathematical modelings by the energy method for these three models and the energy dissipation patterns are also compared. And the wave length variations are also included. The experimental results are compared with the numerical results of mathematical modelings by the energy method for these three models and the energy dissipation patterns are also compared. The roll damping moment of the models is increased for zero speed cases, but as the speed increases, the effect of the waves on the roll damping of the models with the additional devices is negligible due to the much increased damping caused by the lift increase.

• East Asian mathematical journal
• /
• v.30 no.4
• /
• pp.451-474
• /
• 2014

The purpose of this study is to analyze error patterns third-year middle school students make on quadratic function graph problems and to examine about the possible correct them by providing supplementary tutoring. To exam the error patterns that occur during problem solving processes, to 82 students, We provided 25 quadratic function graph problems in the preliminary-test. The 5 types of errors was conceptual errors, false intuition errors, incorrect use of conditions in problems, technical errors, and errors from slips or carelessness. Statistical analysis of the preliminary-test and post-test shows that achievement level was higher in the post-test, after supplementary tutoring, and the t-test proves this to be meaningful data. According to the per subject analyses, the achievement level in the interest of symmetry, parallel translation, and general graph, respectively, were all higher in the post-test than the preliminary-test and this is meaningful data as well. However, no meaningful relation could be found between the preliminary-test and the post-test on other subjects such as graph remodeling and relations positions of the parabola. For the correction of errors, try the appropriate feedback and various teaching and learning methods.