• Journal of the Korean School Mathematics Society
• /
• v.23 no.4
• /
• pp.509-521
• /
• 2020

This study began with the discovery of the concept of frequency density in Singapore textbooks and in a set of subject contents of the UK's General Certificate of Secondary Education. To understand the mathematical meaning of frequency density, the mathematical connection of frequency density was considered in terms of mathematics internal connections and mathematics external connections. In addition, the teaching method of frequency density was introduced. In terms of mathematical internal connections, the connections among the probability density function, relative frequency density, and frequency density in high school statistics were examined. Regarding mathematical external connections, the connection with the density concept in middle school science was analyzed. Based on the mathematical connection, the study suggested the need to introduce the frequency density concept. For the teaching method of frequency density, the Singapore secondary mathematics textbook was introduced. The Singapore textbook introduces frequency density to correctly represent and accurately interpret data in histograms with unequal class intervals. Therefore, by introducing frequency density, Korea can consistently teach probability density function, relative frequency density, and frequency density, emphasizing the mathematical internal connections among them and considering the external connections with the science subject. Furthermore, as a teaching method of frequency density, we can consider the method provided in the Singapore textbook.

• Journal of Educational Research in Mathematics
• /
• v.27 no.3
• /
• pp.411-430
• /
• 2017

This study examined the understanding of 24 pre-service teachers about the three contexts for constructing the exponential graphs. The three contexts consisted of the infinite points context (2009 revision curriculum textbook method), the infinite straight lines context (French textbook method), and the continuous compounding context (2015 revision curriculum textbook method). As the result of the examination, most of the pre-service teachers selected the infinite points context as easier context for introducing the exponential graph. They noted that it was the appropriate method because they thought their students would easily understand, but they showed the most errors in the graph presentation of this method. These errors are interpreted as a lack of content knowledge. In addition, a number of pre-service teachers noted that the infinite straight lines context and continuous compounding context were not appropriate because these contexts can aggravate students' difficulty in understanding. What they pointed out was interpreted in terms of knowledge of content and students, but at the same time those things revealed a lack of content knowledge for understanding the continuous compounding context. In fact, considering the curriculum they have experienced, they were not familiar with this context, continuous compounding. These results suggest that pre-service teacher education should be improved. Finally, some of the pre-service teachers mentioned that using technology can help the students' difficulties because they considered the design of visual model.

• Communications of Mathematical Education
• /
• v.25 no.3
• /
• pp.497-524
• /
• 2011

This study was to understand students' learning about the function of math combined with molecular motions of science using the block scheduling. It was based on the revised Class Structure Model of Lee et al.(2010) where MBL as a tool was used to increase students' participation and understanding in the integrated concepts. The researcher provided the 6th grade students who lived in Sung Nam-Si, Kyung Gi-Do with 8 unit lessons, consisting of 5 stages of CSM. As a result of the study, the integrated education of Mathematics and Science showed synergic effect in studying both subjects and brought a positive result in gradual mathematization. It may be hard to combine all the contents of mathematics and science together. However, learning the relation between volume and pressure, and between volume and temperature of gas used as an example of function shown in our daily life was appropriate through Fogarty's integrated education model because it supported the objective of both subjects. Also, it was a good idea to develop CSM because it was composed of the contents from both subjects held in the same period of a year. Through the five stages, students were able to establish and generalize the definitions and the concepts of function.

• Journal of the Korean Institute of Gas
• /
• v.1 no.1
• /
• pp.33-40
• /
• 1997

An optimization system, APROGA II using genetic algorithm, was developed to solve multi-modal and multiobjective problems. To begin with, Multi-Niche Crowding(MNC) algorithm was used for multi-modal optimization problem. Secondly, a new algorithm was suggested for multiobjective optimization problem. Pareto dominance tournaments and Sharing on the non-dominated frontier was applied to it to obtain multiple objectives. APROGA II uses these two algorithms and the system has three search engines(previous APROGA search engine, multi-modal search engine and multiobjective search engine). Besides, this system can handle binary and discrete variables. And the validity of APROGA II was proved by solving several test functions and case study problems successfully.

• Journal of KIISE
• /
• v.41 no.11
• /
• pp.885-891
• /
• 2014

A hash function is an essential cryptographic algorithm primitive that is used to provide integrity to many applications such as message authentication codes and digital signatures. In this paper, we introduce a concept and test method for a Cryptographic Algorithm Validation Program (CAVP). Also, we design an SHA-3 CAVP program and implement an SHA-3 algorithm in 16bit-UICC. Finally, we compare the efficiency of SHA-3 with SHA-2 and evaluate the exellence of the SHA-3 algorithm.

• Computational Structural Engineering
• /
• v.10 no.3
• /
• pp.217-223
• /
• 1997

This paper deals with the basic concepts of sensitivity analysis in a time domain for the transient response of a lumped mass system. Sensitivity analysis methods in thme domain for determining the effects of parameter changes on the response of a dynamic system by external excitation are presented. The parametric sensitivity of a lumped mass system in time domain can be investigated using different types of sensitivity functions, including first order standard and percentage sensitivity functions. These sensitivity functions are determined as a function of partial derivatives of system variables taken with respect to system parameters. In addition, we compared the results of the analytical method by direct method and those of numerical methods.

• Journal of the Korea Institute of Military Science and Technology
• /
• v.1 no.1
• /
• pp.128-144
• /
• 1998

The BEM for linear elastic stress analysis is applied to the highly rotating axisymmetric body problem which also involves the thermoelastic effects due to steady-state thermal conduction. The axisymmetric BEM formulation is briefly summarized and an alternative approach for transforming the volume integrals associated with such body force kernels into equivalent boundary integrals is described in a way of using the concept of inner product and vector identity. A discretization scheme for higher order BE is outlined for numerical treatment of the resulting boundary integral equations, and it is consequently illustrated by determining the stress distributions of the turbine rotor disk of the small turbojet engine(ADD 500) for which a FEM stress solution has been furnished by author.

• Proceedings of the Korea Contents Association Conference
• /
• 2005.05a
• /
• pp.341-345
• /
• 2005

In this paper, we propose an algorithm for the approximation of FIR filters by IIR filters. The algorithm is based on a concept of the balanced model reduction. Head-related transfer functions(HRTFs) of dummy-head are approximated by 32-order IIR filters. The binaural sounds using the approximated HRTFs are reproduced by headphone, and serves as a cue of sound image localization. Experiment of sound image are carried out for 10 participants with computer simulation and DSP board respectively. The results of the experiments show that the localization using the approximated HRTFs by IIR filters is the same accuracy as the case of FIR filters that simulate the HRTFs.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2007.05a
• /
• pp.1803-1807
• /
• 2007

본 연구에서는 개념적인 강우-유출모형인 Tank 모형에 대하여 유역의 다양한 유출특성을 잘 반영할 수 있는 매개변수를 산정하는 데에 그 목적을 두었다. 이를 위한 최적화 알고리즘은 다목적 유전자 알고리즘인 NSGA-II를 선정하여 Tank 모형과 결합하였으며, 4가지의 목적함수를 대상으로 다양한 함수값을 나타내는 비지배관계의 최적군을 생산하였다. 수 백개로 나타나는 최적군의 다양한 해들 중, 특정 목적함수에 대하여서만 정도가 높거나 낮은 편협한 해들을 배제하고 두루 정도가 높은 값을 나타내는 소수의 비지배해들을 추출하기 위하여 선호적 순서화 기법이 적용되었다. 그 결과 많은 해들 중 단 4개의 해가 최우선해의 위치를 갖는 것으로 나타났으며, 이러한 방법론으로 최적화된 해의 적합성을 살펴보고자 국부최적화 기법인 Powell 방법과 기존에 널리 쓰여온 유전자 알고리즘인 SGA(Simple Generic Algoritm)의 결과와 비교 검정을 수행하였다. 비교한 결과 NSGA-II를 적용하여 산정된 매개변수가 4가지 목적함수 및 관측유량과의 통계치에서 두루 양호한 결과를 나타내었다. 또한 관측유량과 함께 도식하여 살펴본 결과, NSGA-II의 최우선해가 타 자동보정 기법에 비하여 상대적으로 관측치에 보다 잘 부합되는 모의유량을 계산하는 것으로 나타났다.

• The Transactions of the Korea Information Processing Society
• /
• v.3 no.2
• /
• pp.348-358
• /
• 1996

If a method of character region extraction will have general purposes, it could not but make use of common features which all target images have. This paper suggests these common features should be considered as the coalitions for the region to be extracted within a framework of the cost minimization. The method suggested above could be effective by minimizing a cost function estmating the extent that character regions satify quantitatively the features, through Simulated Annealing Method. This method has an uniqueness in that it defines the cost function. Experimental result verify the usefulness of this cost minimization approach to characer region extraction.