• 한국수학사학회지
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• 제28권1호
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• pp.45-62
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• 2015

This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

• 한국수학사학회지
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• 제26권4호
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• pp.301-320
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• 2013

Although many people have recognized the importance of history of mathematics in mathematics education, there are few studies that history and mathematics educations are connected. In this paper, we present and discuss the ways of introducing the instruction with mathematics machines. This instruction use the history of mathematics as part of a class not as a tool to stimulate students' interest but as a goal that it can be targeted mathematical itself. To do this, we first analyze the characteristics of applying history of mathematics in mathematical education, second, describe the meaning and the educational value of mathematical machines, and finally explained the way of applying history of mathematics with mathematics machines. The Instruction of history of mathematics with mathematics machines has advantages that practice (manipulation and experiment) and theory (elaboration of definition, production of conjectures and constructions of proofs) are interlaced within a historic-cultural perspective.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제16권
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• pp.1-65
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• 2003

The focus of this article is on the process of cultivating students' interests so that they come to view mathematics as an activity worthy of their engagement. We first define and operationalize the notion of interests, in the process developing a perspective in which they are seen to be generative, to evolve, and to be deeply cultural. We concretize this perspective by presenting an analysis of a classroom design experiment that documents both the process by which the students' interests evolved and the means by which these developments were supported. We then frame the analysis as a case in which to tease out the implications for a nascent design theory of mathematical interests and in doing so give particular attention to the issue of equity in students' access to significant mathematical ideas

• 한국초등수학교육학회지
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• 제14권2호
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• pp.401-420
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• 2010

본 연구는 공간추론활동을 통한 기하학습이 수학적 문제해결력과 수학적 태도에 미치는 효과를 알아보는데 목적이 있다. 이러한 연구 목적을 규명하기 위하여 서울특별시 소재의 초등학교 6학년 2개 반을 연구대상으로 선정하여 실험집단에는 공간추론활동을 통한 기하학습을, 비교집단에는 일반적인 기하학습을 실시하였다. 학습내용은 6학년 1, 2학기 단원에서 선정하였으며 이를 바탕으로 실험집단과 비교집단에 적용할 지도안, 활동지를 작성하여 4주 동안 11차시를 적용하였다. 그 결과, 공간추론활동을 통한 기하학습을 한 실험집단과 일반적인 기하학습을 한 비교집단의 사후 수학적 문제해결력에서 통계적으로 유의미한 차이가 존재하였다. 수학적 태도에서는 유의미한 차이는 보이지 않았지만 실험 집단 내에서는 실험 전에 비하여 실험 처치 후에 수학적 태도가 유의미하게 향상되었음을 알 수 있었다. 이와 같은 결과로부터, 공간추론활동을 통한 기하학습은 학생들의 분석력, 공간감각능력, 논리력을 향상시켜 이를 종합적으로 발휘해야 해결할 수 있는 수학적 문제해결력을 신장시키고 수학적 태도에 긍정적인 영향을 미친다는 것을 알 수 있었다.

• 대한수학교육학회지:학교수학
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• 제10권1호
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• pp.79-103
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• 2008

본 연구의 목적은 주5일 수업제의 근본 취지를 살릴 수 있는 방안의 하나로 학교와 가정을 연계할 수 있는 프로젝트형 과제를 개발 활용함으로써 학생들의 수학적 능력과 수학적 성향에 어떤 영향을 미치는지 알아보는데 있다. 본 연구에서는 초등학교 4학년 학생들에게 16차시에 걸친 프로젝트 과제를 투입하여 학업성취도와 수학적 성향의 변화를 알아보았다. 학업성취도에서는 유의수준 5%에서 p=0.010으로서 효과가 있는 것으로 나타났고, 수학적 성향에서도 p=0.007로서 유의한 차이가 있는 것으로 나타났다. 또한 실험반의 사전과 사후의 수학적 성향은 전체적으로 큰 차이가 없었지만 평균은 약간 향상된 것으로 나타났다. 각 요인별로는 6가지 요인 중 수학적 가치에서 p=0.030으로서 유의수준 5%에서 유의한 차이가 있고, 나머지는 통계적으로 유의한 차이는 없었으나 평균은 수학적 반성을 제외하고는 모두 약간씩 높게 나왔다. 따라서 프로젝트 과제 활동은 주5일 수업제에 따른 여가 시간을 유용하게 활용하고, 부모를 자녀교육에 동참시킴으로써 학교교육에 대한 이해를 높일 수 있을 것이다.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권3호
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• pp.275-293
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• 2006

The purpose of this study was to analyze the connection between students' errors and prior knowledge as an attempt to design an efficient teaching method in decimal computation. A survey on decimal computations was conducted in two 6th grade elementary school classrooms. Error patterns on decimal computations were analyzed and clinical interviews were conducted with 8 students according to their error patterns. Main errors resulted from the insufficient understanding of prior knowledge such as place value, connection between decimals and fractions, meaning of operations, and computation principles of fractions. In order to help students overcome such obstacles, a teaching experiment was designed in a manner that strengthens a profound understanding of prior knowledge related to decimal computations, and connects such knowledge to actual decimal calculations. This study showed that well-designed lesson plans with base-ten blocks might decrease students' errors by helping them understand decimals and connect their prior knowledge to decimal operations.

• 동굴
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• 제71호
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• pp.1-4
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• 2006

Chloromethylnaphthalene is a valuable compound for obtaining of the plant growing stimulator - -napthylacetic acid. Chloromethylation of naphthalene by paraformaldehyde in the presence of glacial acetic acid, phosphoric and hydrochloric acids at temperature 80 - 85C and duration - 6 hours the -chloromethylnaphthalene yield was 55-57%. Using Box-Wilson method for mathematical planning of experiment carried out optimization of its synthesis for purpose increasing -chloromethylnaphthalene yield. Preliminary, one - factor experiments were carried out for selecting independence main parameters influencing on the synthesis. A full factor experiment of 23 with extended matrix of planning was used for optimization. Aiming to increase the -chloromethylnaphthalene yield, the obtained mathematical model was used for program of sharp raising on the reply surface. The received optimal conditions for the -chloromethylnaphthalene synthesis were selected as following: molar ratio of naphthalene parapfsormaldehyde of 1 : 2 temperature - 105C duration of the reaction - 3 hours. The yield of -chloromethylnaphthalene under these optimal conditions was 75%.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제24권1호
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• pp.23-37
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• 2020

The quadratic error metric (QEM) algorithm has been frequently used for simplification of triangular surface models that utilize the vertex-pair algorithm. Simplified models obtained using such algorithms present the advantage of smaller storage capacity requirement compared to the original models. However, a number of cases exist where significant features are lost geometrically, and these features can generally be preserved by utilizing the advantages of the curvature-weighted algorithm. Based on the vertex-based geometric features, a method capable of preserving the geometric features better than the previous algorithms is proposed in this work. To validate the effectiveness of the proposed method, a simplification experiment is conducted using several models. The results of the experiment indicate that the geometrically important features are preserved well when a local feature is present and that the error is similar to those of the previous algorithms when no local features are present.

• 한국수학교육학회지시리즈A:수학교육
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• 제49권4호
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• pp.423-436
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• 2010

In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

• Journal of Welding and Joining
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• 제15권3호
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• pp.118-127
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• 1997

With the trend towards welding automation and robotization, mathematical models for studying the influence of various variables on the weld bead geometry in gas metal arc (GMA) welding process are required. Partial penetration, single-pass bead-on-plate welds using the GMA welding process were fabricated in 12mm mild steel plates employed four different process variables. Experimental results has been designed to investigate the analytical and empirical formulae, and develop mathematical equations for understanding the relationship between process variables and weld bead geometry. The relationships can be usefully employed not only for open loop process control, but also for adaptive control provided that dynamic sensing of process output is performed.