• Communications of Mathematical Education
• /
• v.10
• /
• pp.505-517
• /
• 2000

수학 학습에서 컴퓨터와 계산기의 활용은 시각화의 강화로부터 직관력과 사고력의 향상을 가져왔다. 컴퓨터 대수체계(Computer Algebra System)가 탑재된 수학 학습용 컴퓨터 프로그램과 계산기가 활발히 사용되고 있으며, 교수매체로서의 활용은 지식 정보전달 체계와 학습자의 지식 구성방법에 새로운 패러다임을 형성하였다. 특히 수학학습용 그래픽 계산기(Graphing Calculator)는 휴대형(Hand-held Technology)으로 학습공간의 이동(Mobil Education)이 가능하며, 수학학습 전용기라는데 의미를 둘 수 있다. Symbolic Graphing Calculator를 활용한 수업에서 학습자는 계산기를 가지고, 기호연산 실행 조작을 통해 자신의 사고과정을 표현하고, Symbolic Graphing Calculator는 실행 조작에 즉각적으로 과정과 결과를 제공하며, 다른 표상과 상호작용을 함으로써 학습자 스스로의 규제가 강화된 과정을 통해 지식을 구성하게 된다. 이때 교사는 지식 정보전달 체계인 대화형 실행매체(IMTs)를 작성하여 학습자의 지식 형성에 안내자의 역할을 하게 된다. 이번 워크샵에서는 CASIO fx 2.0을 활용한 교실 수업모형을 그래프 표상과 연계한 방정식의 풀이과정을 통해 알아본다.

• Communications of Mathematical Education
• /
• v.33 no.3
• /
• pp.319-334
• /
• 2019

In this study, using the tasks related trigonometric functions, the degree of high school students' understanding of the function concept was examined through the level of Hitt(1998). First, the degree of the students' understanding was classified by level, then the concept understanding was reclassified by the process or the object. As a result, high school students' concept understanding showed incompleteness in three stages. It was possible to know that the process in the interpretation of the graph is the main perspective, and the operation of algebraic representation is regarded as important. Based on these results, it seems necessary to study the teaching-learning method which can understand trigonometric functions from various perspectives. It seems necessary to study a lesson model that can reach function concept's understanding level 5 that maintains consistency between problem solving and representation system.

• Journal of Korea Multimedia Society
• /
• v.16 no.3
• /
• pp.336-341
• /
• 2013

Reliability analysis for various forms of data obtained from complicated electronic circuits is a necessary process for guaranteeing reliability of the system. Reliability assessment of a system starts from the estimation of failure function. A system can be composed of one item, but in most cases, several items are correlated to each other in one system. This study suggests an estimation method of failure function and reliabilities for infrequent failure events, by considering different form of data obtained from different systems. Estimates of failure function and reliabilities for complex systems composed of two or more items in parallel or in mixed connections can be done by further application of proposed method.

• Journal of the Korean School Mathematics Society
• /
• v.11 no.4
• /
• pp.629-654
• /
• 2008

This study investigated school mathematics curriculum of the State of Georgia in the United States focused on the 'number and operation' and 'algebra' domain. On the basis of its understanding, this domain was compared and analyzed with school mathematics curriculum of Korea. In doing so, this study explored its plans and procedures and established a frame of comparison for the curriculums between the two countries. The most noticeable difference between the former and the new curriculum in mathematics for Georgia schools is the use of performance standards. A performance standard has four components: a content standard, illustrative tasks, examples of student work, and a commentary for teachers. This study focuses on the content standard and according to the results of the present study, Korea focuses on the formal and systematic mathematical knowledge on the basis of sound understanding of certain mathematical terms or concepts. On the other hand, the State of Georgia curriculum tends to deal with the content which can be understood more intuitively, flexibly, and naturally through the experience, aquisition, and furthermore interpretation based on the concrete manipulation and technological devices.

• Journal of the Korean Society of Groundwater Environment
• /
• v.4 no.4
• /
• pp.212-222
• /
• 1997

Geochemistry of metasedimentary groundwaters and spar waters has been studied in comparison with that of granitic groundwaters in Korea. Metasedimentary groundwaters show $Ca^{2+]$-${HCO_3}^-$ type at depth and low sodium concentrations compared with granitic groundwaters, which is due to the lack of plagioclase in their aquifer mineralogy and, therefore, the predominant reaction of calcite dissolution. According to factor analysis, metasedimentary groundwaters at 100~300 m depth are represented by 1) the dissolution of calcite and Mg-carbonates, 2) transformation of kaolinite to illite, and 3) the presence of sodium as not the product of plagioclase dissolution but a artificial pollutant. Discriminant function between the granitic and metasedimentary groundwaters shows a good discriminating ability with 81.8%, and groundwaters of volcanic aquifer, which has abundant plagioclase, are included in the granitic group by this function. Spa water samples show the result of active water-rock interaction due to high temperature.

• Water for future
• /
• v.29 no.5
• /
• pp.215-222
• /
• 1996

An expression for the cross covariance of the logconductivity and the head in nonstationary porous formation is obtained. This cross covariance plays a key role in the inverse problem, i.e., in inferring the statistical characteristics of the conductivity field from head data. The nonstationary logconductivity is modeled as superposition of definite linear trend and stationary fluctuation and the hydraulic head in saturated aquifers is found through stochastic analysis of a steady, two-dimensional flow. The cross covariance with a Gaussian correlation function is investigated for two particular cases where the trend is either parallel or normal to the head gradient. The results show that cross covariances are stationary except along separation distances parallel to the mean flow direction for the case where the trend is parallel to head gradient. Also, unlike the stationary model, the cross covariance along distances normal to flow direction is non-zero. From these observations we conclude that when a trend in the conductivity field is suspected, this information must be incorporated in the analysis of groundwater flow and solute transjport.

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
• /
• 2004.04a
• /
• pp.362-365
• /
• 2004

토양오염의 확산과정중의 서로 다른 지질적 기반위에 놓인 토양에 대한 침투특성과 4단계 이상의 장력을 적용하여 침투율을 산정하였다. 장력과 침투율과는 지수함수로 비선형 회귀시켜서 산정하였으며, 단지 몇단계의 장력만으로 구하여진 값보다 더 많은 불포화대수리특성과 신뢰성있는 포화수리전도도를 제공할 수 있을 것이다. 구하여진 침투율은 토양분석결과를 비교했을 경우 점토함량이 적은 시료에서 적게나오는 경향이 있고, sand가 많은 토양의 경우 높게 산정되었다.

• The Transactions of the Korean Institute of Electrical Engineers D
• /
• v.50 no.6
• /
• pp.259-265
• /
• 2001

In the last two decades, many researchers proposed various usages of the orthogonal functions such as Walsh, Haar and BPF to solve the system analysis, optimal control, and identification problems from and algebraic form. In this paper, a simple procedure to design and algerbraic observer for the descriptor system is presented by using block pulse function expansions. The main characteristic of this technique is that it converts differential observer equation into an algerbraic equation. And furthermore, a simple recursive algorithm is proposed to obtain BPFs coefficients of the observer equation.

• Proceedings of the KIEE Conference
• /
• 2005.07d
• /
• pp.2543-2545
• /
• 2005

It is well known that the orthogonal function is a very useful to estimate an unknown inputs in the linear dynamic systems for its recursive algebraic algorithm. At this aspects, derivative operation(matrix) of orthogonal functions(walsh, block pulse and haar) are introduced and shown how it can useful to design an UIO(unknown inputs observer) design.

• Journal of computational fluids engineering
• /
• v.1 no.1
• /
• pp.9-18
• /
• 1996

This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.