• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.247-265
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• 2009

In the 21C information-based society, there is an increasing demand for emphasizing communication in mathematics education. Therefore the purpose of this study was to research how properties of communication among small group members varied by mathematical problem types. 8 fourth-graders with different academic achievements in a classroom were divided into two heterogenous small groups, four children in each group, in order to carry out a descriptive and interpretive case study. 4 types of problems were developed in the concepts and the operations of fractions and decimals. Each group solved four types of problems five times, the process of which was recorded and copied by a camcorder for analysis, among with personal and group activity journals and the researcher's observations. The following results have been drawn from this study. First, students showed simple mathematical communication in conceptual or procedural problems which require the low level of cognitive demand. However, they made high participation in mathematical communication for atypical problems. Second, even participation by group members was found for all of types of problems. However, there was active communication in the form of error revision and complementation in atypical problems. Third, natural or receptive agreement types with the mathematical agreement process were mainly found for conceptual or procedural problems. But there were various types of agreement, including receptive, disputable, and refined agreement in atypical problems.

• School Mathematics
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• v.14 no.3
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• pp.357-375
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• 2012

This research intends to examine how 6th graders (age 12) generalize various increasing patterns. In this research, 6 problems corresponding to the ax, x+a, ax+c, ax2, and ax2+c patterns were given to 290 students. Students' generalization methods were analysed by the generalization level suggested by Radford(2006), such as arithmetic and algebraic (factual, contextual, and symbolic) generalization. As the results of the study, we identified that students revealed the most high performance in the ax pattern in the aspect of the algebraic generalization, and lower performance in the ax2, x+a, ax+c, ax2+c in order. Also we identified that students' generalization methods differed in the same increasing patterns. This imply that we need to provide students with the pattern generalization activities in various contexts.

• Journal of Korea Multimedia Society
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• v.13 no.2
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• pp.237-248
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• 2010

When scenes in the real world are perceived for the purpose of computer/robot vision fields, there are great deals of texture based patterns in them. This paper introduces a texture feature representation on a coordinate system in which many different patterns can be represented with a mathematical model (Gabor function). The representation of texture features of each pattern on the coordinate system results in the high performance/competence of texture pattern classification. A decision tree algorithm is used to classify pattern data represented on the proposed coordinate system. The experimental results for the texture pattern classification show that the proposed method is better than previous researches.

• School Mathematics
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• v.17 no.2
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• pp.157-178
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• 2015

The purpose of this study was to investigate the role of calculators as a cognitive tool rather than calculating tool in learning elementary school mathematics. The calculator activities on multiplying two numbers ending with 0s or two decimal fractions and mixed four operations were developed, and exploratory lessons with the activities were implemented to three 3rd graders and two 5th graders. The results were shown that calculators provided an alternative effective learning environment: students were able to use heuristic thinking, reason inductively and successfully investigate principles of mathematics through the pattern recognition. And finally, we discussed the heuristic method through utilizing calculators.

• School Mathematics
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• v.5 no.4
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• pp.459-476
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• 2003

Internet was introduced to this study for making mathematics class the surroundings where students can solve the mathematics problems and communicate mathematically in a free way without restriction of time and place. With the intention of investigating mathematical communication and problem solving in mathematics education using internet, the objects of this study were determined as follows: First, how does a student express mathematical idea in problem solving using internet\ulcorner Second, is there any difference in the degree of participation of mathematical communication according to schoolwork accomplishment and characteristics of the student\ulcorner Third, what's the effect of class using internet on problem solving of mathematics class\ulcorner A case study was executed for the solution and the subjects were all students(44 persons) of a class in the fourth grade of elementary school in D city got into web-site of internet and had class with it and 8 students out of them were deeply analyzed. Their results were shown on internet, and eight of them had interview for deep research after survey with questionnaires for all of the students after class. The results and the conclusions of this study were as follows: First, it showed that there was various types(simple statement, fact enumerating, logical thinking, using letters and formula, insufficiency of explanation) of the mathematical idea expression in internet according to students and study using internet seems to be helpful to the improvement of logical his own expression through other students' expression. Second, it showed that there was difference in mathematical communication participation according to the student's characteristics and it helped students of poor schoolwork be interested and confident in mathematics. Third, it showed that pattern study using internet had effect on forming a habit of reason and verification in problem solving in mathematics class. Accordingly, pattern study using internet seems to have a positive effect on increasing mathematical interests and solving problems in mathematics class.

• School Mathematics
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• v.7 no.1
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• pp.17-32
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• 2005

The purpose of this study is to analyze the effects of calculator use, which is drawing more attention in elementary mathematics, on students' learning of mathematics and to suggest effective ways of using calculators. The present study examined appropriate items commonly used in other papers in the areas of number sense and concepts, problem solving, pattern exploration and reasoning ability. The process of item selection about calculator use were investigated through preservice elementary school teachers' responses to the Questionnaire. The use of calculators In elementary school should be based on teachers' under-standing about why calculators are useful tools for learning mathematics. For more effective use of calculators, more sophisticated experimental studies need to be conducted about selected questions.

• Proceedings of the Korea Information Processing Society Conference
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• 2007.05a
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• pp.97-100
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• 2007

본 논문에서는 다차원 파일구조를 주어진 질의 패턴에 의해 최적으로 구성할 수 있는 방법을 제시한다. 지금까지의 다차원 파일구조는 응용 시스템에서 주어지는 질의의 패턴을 고려하지 않고 다차원 파일구조를 구성하는 애트리뷰트들의 클러스터링 정도를 동일하게 취급하였다. 그러나 다차원 파일구조를 이용하는 대부분의 응용 시스템에서 구성 애트리뷰트들 사이의 액세스 정도를 크게 다르게 하는 질의 패턴을 보인다. 따라서 본 논문에서는 다차원 파일구조의 응용 시스템에서 주어지는 질의 정보를 이용하여 각 구성 애트리뷰트들 사이의 클러스터링 정도를 각각 다르게 반영함으로써 최적이 되는 다차원 파일구조를 구성하는 방안을 제시한다. 먼저 질의처리의 성능이 질의 패턴에 주어진 질의 영역의 모양과 다차원 파일구조의 도메인 공간의 분할 상태를 나타내는 페이지 영역의 모양 사이의 유사성에 따라 크게 영향 받음을 보이고, 이러한 특성을 이용하여 수학적 분석을 통하여 제안된 기법의 이론적인 배경을 증명한다.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.619-636
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• 2012

The main purpose of this study was to explore the process of generalization generated by mathematically gifted students. Specifically, this study probed how fourth, fifth, and sixth graders might generalize geometric patterns and represent such generalization. The subjects of this study were a total of 30 students from gifted classes of one elementary school in Korea. The results of this study showed that on the question of the launch stage, students used a lot of recursive strategies that built mainly on a few specific numbers in the given pattern in order to decide the number of successive differences. On the question of the towards a working generalization stage, however, upper graders tend to use a contextual strategy of looking for a pattern or making an equation based on the given information. The more difficult task, more students used recursive strategies or concrete strategies such as drawing or skip-counting. On the question of the towards an explicit generalization stage, students tended to describe patterns linguistically. However, upper graders used more frequently algebraic representations (symbols or formulas) than lower graders did. This tendency was consistent with regard to the question of the towards a justification stage. This result implies that mathematically gifted students use similar strategies in the process of generalizing a geometric pattern but upper graders prefer to use algebraic representations to demonstrate their thinking process more concisely. As this study examines the strategies students use to generalize a geometric pattern, it can provoke discussion on what kinds of prompts may be useful to promote a generalization ability of gifted students and what sorts of teaching strategies are possible to move from linguistic representations to algebraic representations.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.05a
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• pp.123-125
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• 2002

여러 사람에게서 생체신호를 측정하여 특징을 추출하는 경우 피실험자마다 다른 신체적 또는 생리학적 특징에 의해 같은 클래스로 분류하고 싶어도 다른 클래스로 잘못 분류되는 경우가 발생한다. 이와 같이 N 명의 사람에게서 얻은 생체신호로 M 개의 클래스를 분류하도록 훈련하여 새로운 사람의 생체신호를 M 개의 클래스로 분류하고자 할 때 발생하는 문제를 해결하기 위한 방법으로 피실험자 독립적인 클러스터링 방법을 제안하고자 한다. 이를 위한 수학적 기반으로 동치관계들의 교집합과 합집합에 근거한 새로운 연산자를 정의하고 이를 이용하여 최대 공통 클러스터(Largest Common Cluster, LCC)라는 새로운 개념을 정의한다 이는 여러 사람에게서 얻은 정보에서 최대한 공통의 성질을 갖는 것들을 찾아내는 수학적이고 체계적인 방법이라 할 수 있다. 따라서 일단 LCC를 찾아내면 이를 특징(feature)으로 삼아 패턴분류기를 설계하면 여러 사람에게 적용가능한 생체신호 인식기를 설계할 수 있게 된다.

• Communications of Mathematical Education
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• v.26 no.2
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• pp.205-220
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• 2012

In this article convergent sequences with natural number terms are investigated and the behaviors of tails and limits of these natural number sequences are explored. Firstly this study showed how the pre-service teachers response to the intuitive limit definition using "getting closer" for constant sequences. As a case of convergent natural sequences, the sequences in which the latter term is determined by the sum of digit squares of the former term are considered. To exploring these sequences the computational and charting capabilities of spreadsheets are utilized and some mathematical findings are obtained. Spreadsheet can be instrumentalized by teachers or students to provide a laboratory-like environment to explore a mathematical problem.