• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.10a
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• pp.103-105
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• 2006

• 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.

• 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 Korean Information Science Society Conference
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• 2003.10a
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• pp.85-87
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• 2003

보행 로봇은 두발로 걷는 인간형 로봇으로 인간과 유사한 운동성을 가지는 로봇을 일컫는다. 그러나 다리로 걷는 기능을 구현하기에는 기술적으로 경제적으로 많은 시간이 걸리고, 수학적 모델로 풀 수 있는 문제가 아니기 때문에 보행 로봇의 보행 패턴을 구하는 것은 쉽지 않다. 따라서 본 논문에서는 2관절 보행 로봇의 최적의 보행 패턴을 찾기 위하여 진화 알고리즘을 연구하였다. 또한, 기존의 언덕 오르기법과 진화기법인 누적적 선택 및 유전자 알고리즘에 의해 보행 패턴 학습을 하는 시뮬레이터를 각각 구현하였으며, 세 가지 실험에 대한 결과를 비교 분석하였다.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.399-401
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• 1998

단일 문자 인식과 달리 연속 필기 패턴의 인식은 근본적인 필기 패턴의 형태적 특성을 충분히 고려할 필요가 있으며 다양한 형태의 패턴에 대한 특징이나 정보를 사용하여 종합적으로 판단 할 수 있는 모델의 유연성이 요구된다. 신경망의 학습 기능은 패턴의 왜곡과 잡음 등에 크게 영향을 받지 않으면서 인식에 필요한 특징의 추출이나 패턴 부류에 해당하는 노드의 반응을 스스로 학습시킬 수 있고, 다양한 형태의 정보를 쉽게 통합할 수 있는 유연한 구조를 제공한다. 퍼지 이론(Fuzzy theory)은 일정한 규칙이나 수학적 모델로 표현하기 어려운 패턴의 애매한 특징을 모델링할 수 있기 때문에 인식 대상의 총체적 특징을 추출해 신경망에 효과적으로 적용할 수 있다. 본 논문에서는 연속 필기 숫자 패턴을 인식을 위한 신경망과 퍼지 이론을 이용한 통합 신경망 모델을 제안한다.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.551-559
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• 2006

Pattern Recognition measures the ability of learners to distinguish between two sets of shapes or figures. Locating similar patterns on either side of the presented problem determines a learner's capacity or aptitude for science over general studies. At Ajou University's Institute for Scientifically Enabled Youth, we conducted research using a sample composed of middle school students with general and scientific backgrounds. The result proved that Pattern Recognition measures a different creative talent other than problem solving. In our opinion, Pattern Recognition would be a method better suited to elementary learners over those in middle or high school.

• Communications of Mathematical Education
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• v.12
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• pp.57-66
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• 2001

우리는 공간적인 패턴, 모양, 그리고 움직임의 세계-즉, 기하의 세계-에 살고 있다. 아동들은 그들의 환경에 자연스럽게 매혹되고, 보고, 듣고, 움직임으로써 계속해서 정보를 받아들이므로, 그들의 공간적인 능력은 일반적으로 수(數)기능을 능가하기도 한다. 이러한 차원에서 볼 때, 우리나라의 수학과 7차 교육과정에 공간 감각을 기르기 위한 내용이 새로이 추가되었다는 것은 아주 고무적인 일이라고 생각하며, 이와 관련하여 문헌 연구를 통해서 공간감각에 대한 개념을 살펴보고, 교육과정 및 교과서를 분석하여 공간감각을 길러줄 수 있는 내용을 체계화하며, 공간감각을 증진시킬 수 있는 교구 활용 방안을 제시하고자한다.

• Journal of Science Education
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• v.34 no.1
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• pp.1-11
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• 2010

This study analyzes the factors influencing academic achievement on mathematic and scientific subject and its change in Korean youth by using a sample from KYPS(Korea Youth Panel Survey) data. The results are as follows: First, academic achievement on mathematic and scientific subject of Korean youth shows quadratic curve that their interrelationship between intercept and slope of academic achievement are negative which is statistically significant. Second, analysis of Latent Growth Models shows that parents, teacher, peer group, self esteem, income of family, high school tracks are found to be a statistically significant factor on mathematic. And scientific subject is affected by parents, teacher, peer group, self esteem, income of family, high school tracks. Also, Interesting finding is that father's job is not significant to dependent variables. These findings show that academic achievement on mathematic and scientific subject of the Korean youth are the quadratic curve and influenced by parents, teacher, peer group, self esteem, income of family, high school tracks. To improve youth's mathematic and scientific, Korea educational fields and educators should have policy to care youth's relationship with parents, teachers and self esteem.