• Journal of Soil and Groundwater Environment
• /
• v.6 no.4
• /
• pp.73-81
• /
• 2001

With the development of industry and standard of living, the quantity of groundwater consumption has been increasing. For the analysis of groundwater, to determine the hydraulic parameters of aquifer is very important. Various numerical methods have been developed to solve aquifer tests and eliminate the subjectivity of traditional graphical type curve methods. The slope-matching method, which matches the slope of the Theis type curve to the slope of the field data, can be used to numerically solve pump tests for both leaky and nonleaky aquifers. A FORTRAN program on based slope-matching method was developed to obtain the transmissivity, storage coefficient, and leaky factor from pumping test data automatically. Results derived from published data show that the improved slope-matching method gives parameters close to the ones derived by the slope-matching method.

• Journal of Gifted/Talented Education
• /
• v.26 no.1
• /
• pp.211-230
• /
• 2016

The study aimed to investigate the characteristics of algebraic thinking of the mathematically gifted students and search for how to teach algebraic thinking. Research subjects in this study included 93 students who applied for a science gifted education center affiliated with a university in 2015 and previously experienced gifted education. Students' responses on an algebraic item of a creative thinking test in mathematics, which was given as screening process for admission were collected as data. A framework of algebraic thinking factors were extracted from literature review and utilized for data analysis. It was found that students showed difficulty in quantitative reasoning between two quantities and tendency to find solutions regarding equations as problem solving tools. In this process, students tended to concentrate variables on unknown place holders and to had difficulty understanding various meanings of variables. Some of students generated errors about algebraic concepts. In conclusions, it is recommended that functional thinking including such as generalizing and reasoning the relation among changing quantities is extended, procedural as well as structural aspects of algebraic expressions are emphasized, various situations to learn variables are given, and activities constructing variables on their own are strengthened for improving gifted students' learning and teaching algebra.

• Proceedings of the KIEE Conference
• /
• 1999.11c
• /
• pp.564-566
• /
• 1999

계측 시스템이나 시스템 식별을 수행할 때 정확히 모델링 되는 플랜트를 가정할 경우, 입출력 신호간 혹은 상태 변수들 사이의 비선형 함수 관계를 유도해 낼 수 있다. 그런데 특히 비선형 함수가 매우 복잡하여 해를 닫힌 형태로 구할 수 없을 경우 고려하는 변수들 양자간의 수학적 모델링을 기반으로 루프내 변수가 방정식의 해로 수렴하는 대수 루프를 구성할 수 있다. 이는 모델을 정확히 아는 시스템에 대하여 출력으로부터 입력을 추정하는 역시스템(inverse system)을 구성하는 것과 유사하다. 이러한 개념을 응용한 간단한 예로 용량형 센서의 입출력 비선형성을 제거해주는 역시스템을 대수 루프를 통하여 구현하였다. 또한 구현한 루프가 항상 유일한 해로 수렴할 수 있도록 하는 조건을 구하였다. 해석된 결과를 바탕으로 구현된 루프가 컴퓨터 시뮬레이션 및 아날로그 회로 실험에서도 잘 동작함을 검증하였다. 시뮬레이션 결과로 보인 잡음에 대한 강인성과 실제 회로 실험 결과는 대수 루프의 구현이 실제 용량형 센서 등에 용이하게 적용될 수 있음을 보여준다.

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

• Proceedings of the Acoustical Society of Korea Conference
• /
• spring
• /
• pp.228-231
• /
• 1999

3차원 공간상의 표적의 위치는 방위각, 고각, 거리의 세가지요소로 나타내어 질 수 있다. 이 논문에서는 등각적 선배열 센서로 이루어진 3개의 부분센서배열을 이용한 3차원 표적의 위치추정 알고리듬을 제안하였다. 원거리 표적의 방위각 추정 알고리듬으로 근거리 표적의 방위각을 추정하면 추정된 방위각은 실제 근거리 표적의 방위각과 고각과 거리의 비선형 대수적 관계식으로 주어진다. 제안한 알고리듬은 3개의 부분센서배열에서 각각 표적을 원거리에 있다고 가정하고 원거리입체각을 추정하여 위의 대수적 관계식을 얻은 후 이들 관계식을 연립하여 실제 근거리 표적의 위치를 추정하였다. 다중표적의 경우 각각의 부분센서배열에서 추정한 원거리입체각이 어떤 표적에 대한 추정치인지 연관시켜주는 알고리듬이 필요하다. 이 논문에서는 추정한 원거리입체각의 모든 조합으로부터 3차원 MUSIC 스펙트럼값을 비교하여 그 중 표적의 개수만큼을 선별하여 다중표적의 위치를 추정하였다.

• School Mathematics
• /
• v.13 no.4
• /
• pp.581-598
• /
• 2011

Given the growing agreement that algebra should be taught in the early stage of the curriculum, considerable studies have been conducted with regard to early algebra in the elementary school. However, there has been lack of research on how to organize mathematic lessons to develop of algebraic reasoning ability of the elementary school students. This research attempted to gain specific and practical information on effective algebraic teaching and learning in the elementary school. An exploratory qualitative case study was conducted to the fourth graders. This paper focused on the associative law of the multiplication. This paper showed what kinds of activities a teacher may organize following three steps: (a) focus on the properties of numbers and operations in specific situations, (b) discovery of the properties of numbers and operations with many examples, and (c) generalization of the properties of numbers and operations in arbitrary situations. Given the steps, this paper included an analysis on how the students developed their algebraic reasoning. This study provides implications on the important factors that lead to the development of algebraic reasoning ability for elementary students.

• Communications of Mathematical Education
• /
• v.37 no.4
• /
• pp.569-590
• /
• 2023

The purpose of this case study is to compare and analyze the covariational reasoning levels of two middle school students revealed in the process of solving and generalizing algebra word problems. A class was conducted with two middle school students who had not learned quadratic equations in school mathematics. During the retrospective analysis after the class was over, a noticeable difference between the two students was revealed in solving algebra word problems, including situations where speed changes. Accordingly, this study compared and analyzed the level of covariational reasoning revealed in the process of solving or generalizing algebra word problems including situations where speed is constant or changing, based on the theoretical framework proposed by Thompson & Carlson(2017). As a result, this study confirmed that students' covariational reasoning levels may be different even if the problem-solving methods and results of algebra word problems are similar, and the similarity of problem-solving revealed in the process of solving and generalizing algebra word problems was analyzed from a covariation perspective. This study suggests that in the teaching and learning algebra word problems, rather than focusing on finding solutions by quickly converting problem situations into equations, activities of finding changing quantities and representing the relationships between them in various ways.

• Proceedings of the Korean Information Science Society Conference
• /
• 2011.06b
• /
• pp.193-196
• /
• 2011

공간적으로 다양하게 재구성되며 이동하는 분산/이동/실시간 시스템을 명세 및 분석하기 위한 기존의 프로세스 대수들은 명세/분석 과정에서 텍스트 기반의 명세 언어를 사용한다. 이로 인하여 프로세스 사이의 이동성과 프로세스들의 공간적 분포를 대한 명세 및 분석 방법은 매우 큰 복잡도가 존재한다. 이를 극복하기 위하여 일반 프로세스 대수를 시각적인 형태로 표현하는 다양한 기법들이 제안되었다. 이러한 시각화 언어들은 시스템의 특정 상태를 명세하거나, 시스템의 속성을 공간적 분포와 링크정보로 분리하는 방법들이 사용되었지만, 명세하고자 하는 시스템의 전체 행위에 대한 효율적인 명세 방법이 존재하지 않고, 시각화 언어임에도 불구하고 텍스트기반의 프로세스 대수와 병행되어 사용되어야만 하는 제약들이 존재한다. 이러한 제약들을 극복하기 위한 하나의 방법으로 본 논문에서는 프로세스 대수를 위한 새로운 시각화 언어인 Onion Visual Language를 제안한다. Onion Visual Language는 프로세스 사이에서 발생하는 이동과 상호작용 등의 전체 행위를 원형의 양파껍질과 같은 형태로 표현하며, 각 프로세스들 사이에서 발생하는 행위들의 관계를 액션으로 표현한다. 또한, 계층화된 프로세스 구조, 프로세스의 상태정보, 프로세스의 미래 행위 정보, 비결정적 행위정보를 포함하여 매우 복잡한 시스템의 특징을 효율적으로 명세/분석 가능하도록 하였다.

• Proceedings of the Korean Society for History of Mathematics Conference
• /
• 1997.11a
• /
• pp.1-1
• /
• 1997

• Proceedings of the Malacological Society of Korea Conference
• /
• 2000.11a
• /
• pp.7-7
• /
• 2000