• Electronics and Telecommunications Trends
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• v.31 no.6
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• pp.127-134
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• 2016

시각장애 학습자들에게 수학교과는 학습하기 힘든 과목 중 하나로 여겨지고 있다. 다른 과목들에 비해 그래프, 도형 등 시각정보를 기반으로 한 학습 과정이 많기 때문이다. 그 중 특히 그래프는 이차원의 공간에서 다양한 선들이 나타내는 여러 가지 정보들이 시각적으로 함축되어 있어, 시각장애 학습자들이 포기하고 다음 과정으로 넘어가 버리는 대표적인 단원이다. 하지만 최근 청각 및 촉각을 기반으로 한 정보전달기술이 개발됨에 따라 시각장애 학습자들이 학습할 수 있는 그래프 정보들이 많아지고 있다. 본 기술동향분석에서는 시각장애 학습자들을 위한 그래프 전달 기술들을 알아보고, 앞으로 시각장애인들이 자유자재로 그래프 정보를 습득하고 정안인들과의 정보격차를 줄여주기 위한 그래프 전달기술의 향후 연구 개발 방향에 대해서 알아보도록 한다.

• The Journal of Korean Institute for Practical Engineering Education
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• v.2 no.2
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• pp.49-54
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• 2010

The functions and their graphs are very important parts in mathematical educations. But there seems be a lot of students studying the functions and their graphs without grasping the meaning of them and without interest with them. We present a learning method of how to match functions and their graphs with outlines of various shapes. That is, outlines of the shapes are assumed to be the graphs of the functions and the graphs will be plotted on the screen of a computer with help of the computer algebra system.

• Communications of Mathematical Education
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• v.26 no.2
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• pp.177-203
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• 2012

The purpose of this research was to look at whether small group drawing activities can be applied to learning content that combine mathematics and art, by analyzing the changes in $10^{th}$ grade students' interests in mathematics and particular features of their strategic thinking that were reflected in small group drawing activities using graphs and inequations. The results of the study are as follows: 1. The small group drawing activity using graphs and inequations demonstrated that students interests in mathematics could experience positive changes. 2. The small group drawing activity using graphs and inequations was effective in stimulating the students' strategic thinking skills, which are higher level thinking activities necessary for creating problem solving. As the students went through the whole process of accomplishing a complete goal, the students engaged in integrated thinking activities that brought understandings of basic graphs and inequations together, and were also found to use such higher level thinking functions needed in achieving creative problem solving such as critical thinking, flexible thinking, development-oriented thinking, and inferential thinking. 3. The small group drawing activity using graphs and in equations could be expected to constitute learning content that integrate mathematics and art, and is an effective solution in boosting students' strengths in mathematics by way of activities that consider students' unique cognitive and qualitative peculiarities and through integration with art.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.137-162
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• 2012

Learning graphical representations for statistical data requires understanding of the context related to measurement in statistical investigation since the choice of representation and the features of the selected graph to represent the data are determined by the purpose and context of data collection and the types of the data collected. This study investigated whether middle school students can think critically about measurement and scales integrating contextual knowledge and statistical knowledge. According to our results, the students lacked critical thinking related to measurement process of data and scales of graphical representations. In particular, the students had a tendency not to question upon information provided from data and graphs. They also lacked competence to critique data and graphs and to make a flexible judgement in light of context including statistical purpose.

• Journal of Digital Convergence
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• v.19 no.10
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• pp.403-410
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• 2021

Given an undirected simple graph, k-club is one of the proposed structures to model social groups that exist in various types in Social Network Analysis (SNA). Maximum k-Club Problem (MkCP) is to find a k-club of maximum cardinality in a graph. This paper introduces a Genetic Algorithm called HGA+DROP which can be used to approximate maximum k-club in graphs. Our algorithm modifies the existing k-CLIQUE & DROP algorithm and utilizes Heuristic Genetic Algorithms (HGA) to obtain multiple k-clubs. We experiment on DIMACS graphs for k = 2, 3, 4 and 5 to compare the performance of the proposed algorithm with existing algorithms.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2017.05a
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• pp.321-324
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• 2017

Bubblesort graph is mathematically modeled with bubbling methods, which can arrange data. Bubblesort graph Bn's degree is n, it's routing path length ${\frac{n(n-1)}{2}}$, and its network cost is $O(n^3)$. In this paper we suggest the number of Bubblesort graph's degree reduced to half as a solution to improve the network cost of Bubblesort graph. The Bubblesort graph which has the following restriction is a connected graph randomly from node U to node V for routing.

• Journal for History of Mathematics
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• v.18 no.1
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• pp.103-110
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• 2005

This paper is aimed at studying a historical background of graph theory and we deal with the computer representation of graph through a simple example. Graph is represented by adjacency matrix, edge table, adjacency lists and we study the matrix representation by Euler circuit. The effect of the matrix representation by Euler circuit economize the storage capacity of computer. The economy of a storage capacity has meaning on a mobile system.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04a
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• pp.833-835
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• 2003

지식 기반 사회를 바탕으로 한 정보화 시대인 21C에, 특히 초고속 통신망의 실현으로 인터넷을 누구나 쉽게 접근하여 사용할 수 있게 됨으로써 우리 수학교육도 적극적으로 컴퓨터를 이용한 Web상에서의 실시간 교육의 도입을 필요로 하게 되었다. 이에 따라서 사이버 공간을 통한 교육이 부각되고 있으며 학습자를 대상으로 한 다양한 수업모형의 개발이 활발하게 진행되고 있다. 그러나 현재 대부분의 웹상의 수업모형들은 학습자가 접근하기가 어렵다거나 단순히 내용을 나열하는데 그쳐 학습자의 능동적인 참여의 유도에는 많은 문제점이 있음을 알 수가 있었다. 이에 본 연구는 다른 과목과는 달리 대부분이 추상적인 지식체계로 구성된 고등학교 수학교과 중에서 학습자가 다소 어렵게 생각하는 여러 가지 대수함수의 그래프를 FlashMX의 액션 스크립트를 이용하여 시각화함으로써 Web상에서 학생 스스로가 언제 어디서나 원하는 함수들을 직접 설정하여 즉시 역동적으로 변화가 가능한 그래프를 그려보고 확인함으로써 보다 정확한 이해를 도울 수 있도록 하였다.

• Journal of the Korean School Mathematics Society
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• v.7 no.2
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• pp.81-97
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• 2004

This paper is a study on the understanding process of「Matrix and Graph」on discrete mathematics using TI-92 calculator. For this purpose, we investigated the understanding process of two middle school students learning the concepts of matrix and graph using TI-92 calculator. In this process, we collected qualitative data using recorder and video camera. Then we categorized these data as follows: students' attitude related to using technology, understanding process of meaning, expression and operation of matrix and graph, mathematical communication, etc. From this, we have the following conclusions: First, students inquired out the meaning and role of matrix by themselves using calculator. We could see that calculator can do the role of good learning partner to them. Second, students realized their own mistakes when they used calculator on the process of learning matrix. So we found that calculator could form the self-leading learning circumstance on learning matrix. Third, calculators reinforce the mathematical communication in learning matrix and graph. That is, calculator could be a good mediator to reinforce mathematical communication between teacher and students, among students on learning matrix and graph.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.123-142
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• 2009

Dynamic context is considered as a source for intuitive understanding on the calculus. The relation between the area under time-velocity graph and distance is the base of the dynamic contexts which are treated in the integral calculus. The fundamental theorem of calculus has originated in dynamic contexts. This paper investigated the fundamental theorem of calculus via the relation between the area under time-velocity graph and distance. And we analyzed mathematics textbooks and the understanding of students. Finally we suggest some proposal for the teaching of the fundamental theorem of calculus.