• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.461-483
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• 2017

The ability to think mathematically and to reason inductively are basics of logical reasoning and the most important skill which students need to acquire through their Math curriculum in elementary school. For these reasons, we need to conduct an analysis in their procedure in inductive reasoning and find difficulties thereof. Therefore, through this study, I found parts which covered inductive reasoning in their Math curriculum and analyzed the abilities and characteristics of students in solving a problem through inductive reasoning.

• The Bulletin of The Korean Astronomical Society
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• v.36 no.2
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• pp.137.1-137.1
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• 2011

한국천문학회는 한국천문올림피아드를 통해 영재를 발굴하고, 교육을 통해 천문학의 의미있는 성장을 기대하고 있다. 천문학은 우리 문명의 중요한 문화의 한 부분이며, 우리의 삶과 사고를 형성케하는 근본적인 학문으로 인식되고 있어, 천문올림피아드를 통한 영재 교육은 청소년들의 천문학과 천체물리학의 학교 교육 분야는 물론, 서로 다른 나라간의 국제 교류의 증진을 통해 괄목한 성장을 이루고 있다. 또한, 이를 통한 영재 교육은 우리 삶의 모든 부분과 관련된 주제와 특히 과학기술의 발달이 국가 경쟁력의 원천이 될 것 이라는 신념 때문에, 국내는 물론 국제적인 관심이 되었다. 천문올림피아드 3개의 국제대회, 국제천문올림피아드, 아시아 태평양 천문올림피아드, 국제 천문 및 천체물리올림피아드 참가자 24명을 대상으로 추적연구를 실시하였다. 천문올림피아드 참가 학생들의 개인변인, 가정변인, 학교변인을 알아보고, 천문올림피아드가 학생들에게 어떤 영향을 미쳤는지, 그들의 진로에 어떤 영향을 주었는지, 한국천문올림피아드가 과학영재 교육에 기여하고 있는지 추적연구를 수행하였다.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.163-184
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• 2010

In this paper, we study the effects on mathematical communication and disposition for the writing mathematics letters in secondary mathematics education. For this purpose we construct a experimental class and then analyse the students' change in those aspects after applying writing mathematics letters made some significant changes on the students communication in mathematics and disposition. First. the results for this purpose on regarding the enhancement of mathematical communication are effective. Second, the results on regarding the improvement of disposition are effective.

• Communications of Mathematical Education
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• v.16
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• pp.165-173
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• 2003

수학은 추상적인 학문이다. '추상'은 몇 개 또는 무한히 많은 사물의 공통성이나 본질을 추출하여 파악하는 사고작용이다. 그리고 이 추상들이 모여 분류(유사성을 기초로 해서 우리의 경험을 함께 묶는 것)가 되고 그 다음에 이름이 붙여진다. 이것이 바로 개념(concept)이 형성되는 과정이고 수학자가 수학을 하는 과정이다. 그리고 이 개념들은 여러 가지 모양으로 결합하여 스키마(Schema)라고 부르는 개념 구조를 형성하게 되는데, 이 스키마(Schema)는 수학적 사고를 하는데 매우 중요한 역할을 한다. 본 논문에서는 기존의 초등학교 교과서의 소수의 관한 내용에서 교차연결고리가 부족한 부분을 보충한 스키마식 수업 모델을 제시하여 수학의 연계성과 위계성을 강조함으로써 학생들로 하여금 수학의 구조를 파악하게 하여 수학에 대한 흥미와 필요성을 알게 하는데 그 목적을 두고 있다.

• Journal of Gifted/Talented Education
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• v.14 no.4
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• pp.47-70
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• 2004

We analyzed the validity of Science Highschool's selection process for the students from Science Gifted Education Center in order to suggest the direction of improvement. First of all, we invested the students' achievement in Mathematics and Science. As a result, we found that the students are not so good at mathematics and science through the selection process for the students from Science Gifted Education Center. However the difference is not statistically meaningful. On the contrary, The achievement of the students from Science Gifted Education Center is above average who were selected through the other course, e. g. the students who acquired the recommendation of principal, winner of prize in Olympiad of Mathematics or Science. We didn't find any meaningful result in the investigation of Affective Domain in Science. And then we found that the students prefer the generous environment through the selection process for the students from Science Gifted Education Center. As a whole, the selection process for the students from Science Gifted Education Center was not so satisfying. It should be reformed; we should examine the students' portfolio on the activities in the Science Gifted Education Center, and the entrance examination should include both divergent and convergent problems to find out the students' creativity. And the 3 dimensional process is also essential through the multiple steps.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.2
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• pp.351-370
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• 2013

The purpose of this study is to analyze the modes of visualization which appears in the process of thinking that mathematically gifted 6th grade students get to understand components of the three-dimensional shapes on the duality of regular polyhedrons, find the duality relation between the relations of such components, and further explore on whether such duality relation comes into existence in other regular polyhedrons. The results identified in this study are as follows: First, as components required for the process of exploring the duality relation of polyhedrons, there exist primary elements such as the number of faces, the number of vertexes, and the number of edges, and secondary elements such as the number of vertexes gathered at the same face and the number of faces gathered at the same vertex. Second, when exploring the duality relation of regular polyhedrons, mathematically gifted students solved the problems by using various modes of spatial visualization. They tried mainly to use visual distinction, dimension conversion, figure-background perception, position perception, ability to create a new thing, pattern transformation, and rearrangement. In this study, by investigating students' reactions which can appear in the process of exploring geometry problems and analyzing such reactions in conjunction with modes of visualization, modes of spatial visualization which are frequently used by a majority of students have been investigated and reactions relating to spatial visualization that a few students creatively used have been examined. Through such various reactions, the students' thinking in exploring three dimensional shapes could be understood.

• Journal of The Korean Association of Information Education
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• v.13 no.4
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• pp.509-516
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• 2009

As the necessity of cyber education is being raised up recently, Cyber Home Learning System(CHLS) is increasingly adopted at all school levels ranging from elementary to high schools. The purposes of this study are to find out that how elementary social studies of CHLS influence on the academic performance and learning attitude of students and their satisfaction. Based on these suggestions on social studies of CHLS are proposed. To accomplish the purposes, comparisons were made between experimental group utilizing social studies of CHLS and control group of traditional class of 54 students(27 students each in experimental and control group) in 5th grade. The results are as follows. Utilizations in social studies of CHLS showed positive effects on academic performance and learning attitude, and students' satisfaction on social studies of CHLS were rather increased. Based on these findings, several suggestions are made. First, strategy to improve motivation and confidence for students to participate on social studies of CHLS are necessary. Second, thinking and problem-solving activities needs to be integrated to social studies of CHLS. Third, for meaningful social studies, environment that can improve communication and thinking ability through interaction needs to be facilitated. Fourth, supporting plan is advised for teachers carrying on the role of manager and facilitator.

• Journal of the Korean Chemical Society
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• v.48 no.1
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• pp.85-93
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• 2004

The purpose of this research was to investigate the change of argumentation of middle school students when they participated in argument tasks with CASE(Cognitive acceleration through science education) programs. Students argumentations were divided into two categories; 'explanatory argumentation' and 'dialogic argumentation'. Several argumentation components were used in their argumentation. Among argumentation components, claim and ground took place more than half of argumentation components. The percentage of 'dialogic argumentation' was lower than the percentage of 'explanatory argumentation'. The percentage of 'dialogic argumentation' was getting higher during CASE intervention. CASE programs had more effect on symmetric group than asymmetric group, however it was unstable. In general, participation ratio in argumentation of the formal operational student was high and the ratio in argumentation of the transitional student was getting higher.

• Research in Mathematical Education
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• v.1 no.2
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• pp.127-137
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• 1997

수세기는 초등 수학교육의 기초로서 보통 유치원 과정 이전부터 시작된다. 그러나, 서수와 기수의 구별된 사용의 중요성은 미국의 "학교 수학의 교과 과정과 평가 기준" (NCTM 1989)에서 뿐만 아니라 학교 교육의 현장에서도 많이 간과되고 있는 실정이다. 일반적으로 사용되는 수직선 (Number line)과 다르게 구조적으로 개발된 Hasse's structured number line을 사용하여 학생들에게 수세기의 의미와 기술을 가르친다면 구체적 경험을 통해 수학적 사고 능력을 키우고 개발하는데 도움이 된다. 만약 Hasse 의 9가지 수준에 따라 다양한 학습 활동을 개발하여 수업 계획을 세워서 학습을 진행한다면 수업은 역동적이며 매우 흥미로워 질 것이다. 학생들은 말로 나타내기(Verbalization)와 상상(Imagination)의 충분한 경험을 바탕으로 정신적 표현(Mental representation)을 개발하여 수세기 기초를 확립하고 나아가 연산을 쉽게 수행할 수 있을 것이다. 여기에 소개된 교구들과 학습 활동들은 초등 수학 교육이 암기 위주의 문답식이 아니며 얼마나 역동적이고 흥미로울 수 있나를 보여준다.

• Journal of the Korean Chemical Society
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• v.62 no.4
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• pp.288-298
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• 2018

In this study, we surveyed pre- and post-perceptions of fourteen science teachers related to the atmosphere composition of molecules with different masses by the developed test. As a result of the test, the teachers were classified into two types of thoughts; One of them is considered the atmosphere to be a homogeneous solution, and the other is a thought that the composition ratio of the atmosphere was not homogeneous considering the different weights of particles. The two types were reclassified into three categories; one of them is considering large gravity effect, another is considering small gravity effect, and the other is considering medium scale gravity effect. Total six types of thoughts were found from the pre-test. After introducing crosscutting concepts which are related to the composition of atmosphere. The teachers discussed the phenomena with the molecular motion by weights of atoms and temperature, the homogeneity of the solution of air in chemistry domain. They also discussed with the relationship between mass and gravity and distance in physics domain. And the discussion included distribution of the atmosphere, convection phenomena, etc. After the discussion, the teachers changed their pre-conceptions to post-concoctions considering combined perspectives of gravity, mass, temperature, altitude etc. Through these changes, we are able to confirm the importance of crosscutting concepts covered in various disciplines. In the integrated science, we should help teachers to provide students with these types of thinking in order to form a coherent world-view and to carry out inquiry thinking as an intellectual tool.