• Communications of Mathematical Education
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• v.14
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• pp.135-150
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• 2001

역동적 평가는 구성주의와 사회문화적 관점이 교육과정에 많은 영향을 주면서 이를 평가에 반영하기 위한 대안으로 등장한 새로운 평가의 방향이다. 전통적인 심리 측정에 대한 비판에서 시작되었으며, 통계적인 자료정리에서 벗어나 아동에 대한 변화가능성을 평가하자는 것이 주목적이다. 결과 지향적인 평가는 미래의 수행에 대한 완전한 예언을 할 수 없지만, 역동적 평가에서 각 개인의 평가는 개인의 특성에 따라 각기 다른 체제 내에서 이루어진다. 역동적 평가의 입장 가운데서도 본 연구에서는 사회문화적 체제 관점에서 실제영역과 발달가능영역에 대한 사회적 상호작용에 대해 관심을 가지고 있다. 이를 위해 개인에 작용하는 생태학적 회로망을 평가의 주요한 배경으로 선택하고 있으며, 사회문화적 관점에서 평가관의 변화를 제시하면서 이에 따른 수학교육적 시사점을 찾아본다.

• Education of Primary School Mathematics
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• v.21 no.4
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• pp.375-395
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• 2018

This study examines the influence of the bodily interaction with digital technology on meaning-making process in a mathematical activity. Increasing interest in the use of multi-touch dynamic digital technology has brought the movement of the body to the center of research focus in recent mathematics education literature. Thereby, we investigate the process in which the meaning of the density of rational numbers emerges around the bodily interaction on the multi-touch dynamic digital technology. We analyze a case of a small group of primary school students with microethnography. In the result, the students formed the higher level of meaning of the density, where the finger movement of zooming in-and-out played a crucial role throughout the meaning-maknig process.

• Proceedings of the Korea Multimedia Society Conference
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• 2001.11a
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• pp.752-757
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• 2001

본 논문은 웹 상에서 자기 주도적 문제풀이 학습을 통하여 학습자가 자기 주도적으로 학습할 수학교과의 학습목표 및 내용, 관련된 학습자료를 탐색하고, 교수자나 다근 학습자와 서로 상호작용을 하여 문제를 해결하기 위한 원격강의 프로그램을 개발하고자 일반적인 멀티미디어 체계적 교수설계 모형을 기초로 웹 기반 코스웨어 설계모형을 제시하고 학습자 중심의 실시간 수학문제 풀이 원격학습 시스템을 구현하였다. 이는 웹 기반의 수학 코스웨어 및 텍스트 모드로 제작 설계되었으며 자기 주도적인 수학 문제 풀이 단계학습을 목적으로 한다.

• The Mathematical Education
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• v.59 no.1
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• pp.17-29
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• 2020

The purpose of this study is to analyze the teacher's discourse structure of teachers according to the interaction pattern between teacher and student in the process of mathematization. To achieve this goal, we observed a semester class (44 lessons) of an experienced teacher who had practiced teaching methods for promoting student engagement for more than 20 years. Among them, one lesson case would be match the teacher's intention and the student's response and the other one lesson case would be to mismatch between the teacher's intention and the student's response was analyzed. In other words, in the process of mathematization based on students' engagement, the intention of the teacher and the reaction of the student was determined according to the cases where students did not make an error and when they made an error. A methodology used to develop a theory based on data collected through classroom observations(grounded theory). Because the purpose of the study is to identify the teacher's discourse structure to help students' mathematization, observe the teacher's discourse and collect data based on student engagement. Based on the teacher's discourse, conceptualize it as a discourse structure for students to mathematization. As a result, teacher's discourse structure had contributed to the intention of the teacher and the reaction of the student in the process of mathematization. Based on these results, we can help the development of classroom discourse for mathematization by specifying the role of the teacher to help students experience the mathematization process in the future.

• Journal of the Korean Institute of Intelligent Systems
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• v.12 no.6
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• pp.497-502
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• 2002

The problem of maneuvering target tracking has been studied in the field of the state estimation over decades. The Kalman filter has been widely used to estimate the state of the target, but in the presence of a maneuver, its performance may be seriously degraded. In this paper, to solve this problem and track a maneuvering target effectively, a DNA coding-based interacting multiple model (DNA coding-based W) method is proposed. The proposed method can overcome the mathematical limits of conventional methods by using the fuzzy logic based on DNA coding method. The tracking performance of the proposed method is compared with those of the adaptive IMM algorithm and the GA-based IMM method in computer simulations.

• Communications of Mathematical Education
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• v.8
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• pp.189-207
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• 1999

본 연구의 목적은 초 ${\cdot}$ 중학생들의 수학적 신념을 알아보고, 그러한 신념을 형성하는 요인들을 수학 교실의 상호작용에서 찾아보는 것이었다. 이를 위해, 초등학교 5, 6학년과 중학교 1, 2, 3학년 학생들의 수학적 신념을 질문지로 조사하였으며 각급 학교의 수학 교실에서 벌어지는 교수-학습 과정을 비디오로 촬영하여 각 교실의 사회적 규범들을 비교 분석하였다. 그 결과로서, 학생들은 수학은 이미 만들어진 규칙과 용어들로 이루어졌고 그 규칙에 따라 주어진 문제를 풀어 답을 구하는 것이 수학적 활동이라고 인식하고 있었다. 한편, 이러한 신념은 각급 교실에 형성된 사회수학적 규범과 일치했으며, 특히 개념설명과 새로운 전략 및 오류에 대한 반응과 관련된 사회수학적 규범이 학생들의 수학적 활동을 제한함으로써 그들의 신념을 결정하고 있었다.

• School Mathematics
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• v.11 no.3
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• pp.351-368
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• 2009

This study presents data from a year-long teaching experiment which illustrate how two seventh graders modified their multiplicative thinking and interacted with their representing symbols in the context of combinatorial problem situations. Damon was at the process of construction of recursively multiplicative thinking by modifying his multiplicative reasoning, but Carol appeared to remain at the stage of a binary multiplicative scheme. The two students' struggles with their representing symbols or represented symbols by the teacher show that even well-organized symbolic systems from teachers' perspective do not necessarily help students advance their mathematical capacity.

• Communications of Mathematical Education
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• v.14
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• pp.371-394
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• 2001

교사 교육기관에서 교육을 받고 있는 예비 수학교사들의 교수-학습에 대한 신념은 주로 초, 중, 고등학교를 다니면서 수학 교사와의 상호작용과 긍정적 혹은 부정적인 경험에 의해서 형성되어져 있다. 이러한 신념은 결국 사범대학에서의 교육을 받으면서 지식의 습득 과정에 영향을 미치게 된다. 따라서 예비수학교사들이 가지고 있는 수학의 교수-학습에 대한 신념을 조사하는 것은 이들이 기존에 가지고 있는 신념에 대한 반성의 기회를 제공하게 되어 바람직한 신념형성 및 장차 교사가 되었을 때 수학교실에서의 교수-학습의 새로운 전환에 도움이 될 것이다. 그리고 이들의 신념을 조사, 연구하는 것은 현재 수학과 교사 교육기관에서 이루어지고 있는 교수와 학습에 대한 질을 개선하는데 도움이 될 것이다.

• Journal of the Korean Chemical Society
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• v.58 no.6
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• pp.528-534
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• 2014

In some binary solution, closed miscibility loop of temperature-composition phase diagram occurs where both an upper critical solution temperature and a lower critical solution temperature exist. It is known that this phenomena occurs if specific interaction between molecules exists. There are several ways describing the specific interaction. In this work it is assumed that the total number of specific interactions is distributed according to binomial distribution. In this case, exact mathematical conditions for closed miscibility loop phase behavior are derived when the specific interaction is applied to regular solution theory, quasichemical theory and Flory-Huggins lattice theory. And we investigated the effect of parameters on the phase diagram. The phase diagram of water-nicotine is calculated and compared with experimental data.

• The Mathematical Education
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• v.42 no.5
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• pp.607-622
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• 2003

The research was aimed at finding the dynamic aspects of the linguistic and social interaction with mathematical concept development using a graphing calculator in collaborative learning. This study was broadly divided into two categories: "Knowledge Construction Statement" for understanding how the verbal interaction works when a graphing calculator is used, and "Teacher's Instructional Role" for the research on the reaction of the students and on the teacher's role as a guide in helping students to construct their knowledge. This research used a case study in a collaborative learning environment. An attempt was made to show clearly how the students interacted with one another in a technology environment using a graphing calculator as a tool. A graphing calculator promoted the students' linguistic interaction and changed the characteristics of the linguistic interaction. Although it didn't show the different aspects completely, some changes of the linguistic traits were perceived.aits were perceived.