• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.263-278
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• 1999

Computer with various powerful functions has profound potential for mathematics instruction and learning. As computer technology progress, its applicability to mathematics education become more comprehensive. Not only its functional development but various psychological positions also changed the way computer technology utilized in mathematics education. In behaviorist's perspective, computer viewed as a teaching machine and constructivist viewed computer as microworld where students could explore various mathematical contents. Both theoretical positions emphasized individual aspect of learning because behaviorist tried to individualize learning using computer and constructivist focused on the process of individual construction. But learning is not only a individual event but also a social event. Therefore we must take social aspect into account. This is especially important when it comes to computer based learning. So far, mathematics loaming with computer weighed individual aspect of loaming. Even in microworld environment, learning should be mediated by teacher and collaborative learning activities. In this aspect, the roles of teacher and peers are very important and socio-cultural perspective sheds light on the computer based learning. In socio-cultural perspective, the idea of scaffold is very important in learning and students gradually internalize the social dimension and scaffolding is gradually faded. And in the zone of proximal development, teacher and more competent peers guide students to formulate their own understanding. In sum, we must take following points into account. First of all, computer should not be viewed as a medium for individualized teaming. That is, interaction with computer should be catalyst for collaborative activities with peers. So, exploration in computer environment has to be followed by small group activities including small group discussion. Secondly, regardless of the role that computer would play, teacher should play a crucial role in computer based learning. This does not mean teacher should direct every steps in learning process. Teacher's intervention should help student construct actively. Thirdly, it is needed to conceptualize computer in learning situation as medium. This would affect learning situation and result in the change of pre-service and in-service teacher training. Computer to be used effectively in mathematics classroom, researches on assessment of computer based learning are needed.

• School Mathematics
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• v.5 no.2
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• pp.151-165
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• 2003

So far there have been intermittently quantitative and syntactic analyses of the past elementary mathematics curriculums to comprehend elementary mathematics education in Korea. However, we think we also need qualitative and semantic analyses to comprehend and examine the past elementary mathematics curriculums exactly and so to look out on our future elementary mathematics education. Generally, school mathematics curriculum reflects both the philosophical aspects of mathematics itself that form the background of the philosophy of mathematics education and the sociological aspects in real mathematics class that could be the output of the curriculum. With this view, the logic of the social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. With this kind of method of analysis we got the results that: the past Korean elementary mathematics curriculums mainly have the tendency from the ideology of the progressive educator(the 1st) to of the technological pragmatist(the 2nd), from that of the old humanist(the 3rd and 4th) to the progressive educator(the 5th and 6th) again, and lastly that of social constructivism(the 7th).

• School Mathematics
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• v.8 no.4
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• pp.417-439
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• 2006

Many studies indicate the emerging crisis of education of calculus even though the emphasis of calculus have been widely recognized. In our classrooms, the education of calculus also has been faced with its bounds. Most instructions of calculus is too much emphasis on the algebraic approach, thus students solve mathematical problems without truly understanding the underlying concept. The purpose of this study is to develop mathematization teaching and learning materials and methods in caculus based on the mathematization teaching and learning theories by Freudenthal and the variability principles of conceptual learning by Dienes, In order to this purpose, first, we analyzed the high school mathematics II textbook of 7th curriculum in Korea. Second, we developed mathematization teaching and learning materials and methods in highschool calculus. Consequently, the following conclusions have been drawn: we have reorganized and reconstructed the context problem in calculus based on concepts of tangent line and instantaneous rate of change.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.13 no.10
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• pp.5260-5275
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• 2019

In the process of constructing the traditional offensive and defensive game theory model, these are some shortages for considering the dynamic change of security risk problem. By analysing the critical indicators of the incomplete information game theory model, incomplete information attack and defense game theory model and the mathematical engineering method for solving Bayes-Nash equilibrium, the risk-averse income function for information assets is summarized as the problem of maximising the return of the equilibrium point. To obtain the functional relationship between the optimal strategy combination of the offense and defense and the information asset security probability and risk probability. At the same time, the offensive and defensive examples are used to visually analyse and demonstrate the incomplete information game and the Harsanyi conversion method. First, the incomplete information game and the Harsanyi conversion problem is discussed through the attack and defense examples and using the game tree. Then the strategy expression of incomplete information static game and the engineering mathematics method of Bayes-Nash equilibrium are given. After that, it focuses on the offensive and defensive game problem of unsafe information network based on risk aversion. The problem of attack and defense is obtained by the issue of maximizing utility, and then the Bayes-Nash equilibrium of offense and defense game is carried out around the security risk of assets. Finally, the application model in network security penetration and defense is analyzed by designing a simulation example of attack and defense penetration. The analysis results show that the constructed income function model is feasible and practical.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.261-275
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• 2011

We observed the process for solving linear equations of two 5th grade elementary students, who do not have any pre-knowledge about solving linear equation. The way of students' usage of fractional schemes and manipulations are closely observed. The change of their scheme adaptation are carefully analyzed while the coefficients and constants become complicated. The results showed that they used various fractional scheme and manipulations according to the coefficients and constants. Noticeably, they used repeating fractional schemes to establish the equivalence relation between unknowns and the given quantities. After establishing the relationship, equivalent fractions played important role. We expect the results of this study would help shorten the gap between the arithmetic and the algebraic thinking.

• Hwankyungkyoyuk
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• v.12 no.1
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• pp.172-188
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• 1999

Mathematics has been usually recognized as value-neutral and anti-ideological subject, and as a result, it has not dealt with environmental problems clearly. Also, it is not easy to find any environment-related contents in the 7th mathematics curriculum. However, because mathematics is also precious human products and essence, in any ways there is a need to reflect the social issues in the mathematics subject which speak for human mental activities. If this need is admitted to change the mathematics contents to the direction of social issues, environmental problems can stand out and be dealt in the mathematics education. Among the 6 domains in the 7th mathematics curriculum, the environmental problems can be dealt with in the domains of ‘numbers and operation’, ‘letters and formulas’, ‘regularity and function’, ‘chances and statistics’, ‘measurement’ except in the domain of ‘diagrams’. Also, the '문장제들' which takes up a considerable part of mathematics textbooks needs the authentic situation, and thus it will be possible to take environmental situations as mathematical materials. Furthermore, one of the 7th mathematics curriculum is that it suggested further study in each level of each domain, the representative pattern of which is the application of the mathemantics contents to the daily life. With this kind of mathematics further study contents, environmental problems can provide a variety of contents for the further study. From this viewpoint, it can be expected that the contents of environmental education will be increased in the mathematics subject. Under the recognition that the mathematics subject cannot be an exception in considering environmental problems, this study has studied some concrete plans and examples for how the mathematics textbooks based on the 7th educational curriculum can deal with environmental Problems.

• Journal of The Korean Society of Agricultural Engineers
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• v.62 no.4
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• pp.53-61
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• 2020

The laboratory model test was conducted by dividing domestic reclaimed tideland into Sandy Loam (SL) and Silt Clay Loam (SiCL) to estimate soil moisture change and water supply according to soil characteristic when establishing irrigation plan for reclaimed tideland upland crop. In addition, the applicability of each scenario was verified using Van Genuchten model, which is the most widely used mathematical model for analyzing soil moisture characteristics of reclaimed tideland uplands crops. The required water supply according to the target soil moisture tension by reclaimed tideland is as follow. In the case of SL, soil depths of 0~10 cm, 10~20 cm were analyzed as 19 mm, 35 mm to reach the field capacity, and SiCL, 33 mm, 63 mm. The required water supply of SiCL was higher than that of SL. The study compared the simulation results from the scenarios of Van Genuchen model and the measured results from the laboratory model test based on according to the reclaimed tidelands. In the case of parameter, θ_s, θ_r, α, η were analyzed 0.55, 0.18, 0.064, 1.74 in SL and 0.46, 0.22, 0.105, 1.92 in SiCL. In terms of soil characteristics, SL with better water permeability was found to have higher applicability than SiCL. By Soil depth, applicability was found in 0~10 cm directly affected by water supply.

• Journal of Korea Foundry Society
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• v.32 no.6
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• pp.276-283
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• 2012

This study presents the results on the changes of crucible thermal conductivity and inflow of Ar, and constructed the mathematical model about heat transfer into furnace. As process variables, simulation model was designated thermal conductivity of crucible to $0.5W{\cdot}m^{-1}{\cdot}K^{-1}$, $1W{\cdot}m^{-1}{\cdot}K^{-1}$, $2W{\cdot}m^{-1}{\cdot}K^{-1}$, $4W{\cdot}m^{-1}{\cdot}K^{-1}$, and inflow rate of Ar to 15 L/min, 30 L/min, 60 L/min. Initial condition and boundary condition were set respectively in two terms of process. Each initial conditions were set up by the preceding simulation of heat and fluid flow. The primary goal is the application of unidirectional growth of Si ingot using the result. In the result of the change of heat conductivity of crucible, the higher thermal conductivity of crucible shows the shorter solidification time and the bigger temperature difference. And the flow patterns are changed with the inflow rate of Ar. Finally, we found that the lower crucible's thermal conductivity, the better crucible is at polycrystalline Si ingot growth. But in case of Ar inflow, it is hard to say about good condition. This data will be evaluated as useful reference used in allied study or process variable control of production facilities.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.17 no.2
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• pp.51-56
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• 2017

With the rapid increase in the number of mobile terminals, demand for wireless technologies has sharply increased these days. While wireless communication provides advantages such as ease of deployment, mobility of terminals, continuity of session, and almost comparable transmission bandwidth to the wired communication, it has vulnerability to malicious radio attacks such as eavesdropping, denial of service, session hijacking, and jamming. Among a variety of methods of preventing wireless attacks, the MTD(Moving Target Defense) is the technique for improving the security capability of the defense system by constantly changing the ability of the system to be attacked. In this paper, in order to develop a resilient software defined radio communication testbed system, we present a novel MTD approach to change dynamically and randomly the radio parameters such as modulation scheme, operating frequency, packet size. The probability of successful attack on the developed MTD-based SDR communication system has been analysed in a mathematical way and verified through simulation.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.45 no.2
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• pp.103-110
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• 2008

When there is uncertainty in topological rate of change, motility model and terrain condition, the performance severely degrades in MANET. The concept of transition of routing protocol on the fly according to the network parameters such as coverage, connectivity and mobility etc. may counterbalance the problems stated above. The mathematical modeling of feedback parameters has been derived, and the architecture for the multi-routing protocol system providing an adaptation from one routing protocol to another is also investigated. This paper is extensively devoted on the analysis of mobility, connectivity and their effects on the network and finally transition into another routing protocol according to them.