• 한국수학교육학회지시리즈A:수학교육
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• 제50권2호
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• pp.213-231
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• 2011

The purpose of this study is to analyze the 6th graders' understanding of the concepts of variable on various aspects of school algebra. For this purpose, the test of concepts of variable targeting a sixth-grade class was conducted and then two students were selected for in-depth interview. The level of mathematics achievement of the two students was not significantly different but there were differences between them in terms of understanding about the concepts of variable. The results obtained in this study are as follows: First, the students had little basic understanding of the variables and they had many cognitive difficulties with respect to the variables. Second, the students were familiar with only the symbol '${\Box}$' not the other letters nor symbols. Third, students comprehended the variable as generalizers imperfectly. Fourth, the students' skill of operations between letters was below expectations and there was the student who omitted the mathematical sign in letter expressions including the mathematical sign such as x+3. Fifth, the students lacked the ability to reason the patterns inductively and symbolize them using variables. Sixth, in connection with the variables in functional relationships, the students were more familiar with the potential and discrete variation than practical and continuous variation. On the basis of the results, this study gives several implications related to the early algebra education, especially the teaching methods of variables.

• 한국초등과학교육학회지:초등과학교육
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• 제31권2호
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• pp.188-196
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• 2012

Science festivals have occupied a very important axle in informal science education that enables students to experience the amazement of scientific experiments to think over scientific principals beyond the formal education in the classrooms. Among the concerned person, the most benefit-taken group may be the assistant who help the participants experience the activities in the festival. In order to find out the ways to make the student assistant's participation into a meaningful education experience, we analyzed the types of the activities in the science festival as well as the characteristics of the interaction between the student-assistants and the participating students are studied. The research findings are as follows: First, most activities in the science festival had related to the scientific concepts or principals; however, the understanding of the concepts and principals didn't highly affect the procedure of the activities. In many cases the students operated and made results without checking the related concepts or principals. Second, the student-assistants showed the consistency of operation in guiding their activities. They were explaining mainly the process of the experiments without giving a chance to think of related concepts or principles. We suggest that teacher should consider the student-assistants' learning in the festival as well as that of the participants.

• 한국학교수학회논문집
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• 제6권1호
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• pp.163-175
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• 2003

본 연구에서는 그래핑 계산기를 이용한 협동학습에서 학생들의 수학적 개념 발달과정을 조사하였다. 학생들은 해결해야 할 과제가 주어졌을 때, 한 가지 개념을 형성 한 후에는 다른 개념으로의 전이를 시도하면서 최종적으로는 일반화되고 추상화된 수학적 개념을 형성해 나아갔다. 여기서 처음엔 일상 개념에 머물러 있는 모호한 혼합적 응집체로 시작하여 복합적 사고의 단계들을 거쳐 진성 개념에 이르는 특징들을 파악하였다. 구체적이고 사실적인 특성을 위주로 연합 유형과 수집 유형을 반복해 나갔는데 이 과정에서 언어와 도구가 부분적인 과정을 통제하고 수행하는데 계획적으로 사용되고, 더불어 교사가 학생이 관찰한 바를 확인시켜주는 과정을 거쳐 발달을 이루어 나아갔다. 또한 의사 개념의 수준에서 '사고의 위기'에 직면하게 되었을 때에는 비슷한 유형의 문제들을 다시 제시하며 개념을 확고하게 해나갈 수 있도록 유도하는 것이 필요하였다.

• 한국초등과학교육학회지:초등과학교육
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• 제25권spc5호
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• pp.548-555
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• 2007

In this paper, we suggested that those elementary school students who are gifted in science should be taught basic and fundamental concepts to solve applied problems. We developed a teaching model based on a lesson regarding the path that light takes when passing through a lens on the base of refraction of light. We applied the teaching model to scientifically-gifted elementary school students and analyzed the results. The teaching model is based on the circulation loaming model appropriate for learning such concepts. The problems were designed and applied in order to determine the students' level of concept skills held and also to develop new teaching tools to help their understanding of concepts. As a result, we confirmed that the students, who were unable to describe the path of the light before the course of instruction was given, were able to draw and explain the path of light passing trough lens by using the law of refraction following the instruction.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제9권1호
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• pp.31-41
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• 2005

In modern theory, creativity is an aim of mathematics education not only for the gifted but also fur the general students. The assertion that we must cultivate the creativity for the gifted students and drill the mechanical activity for the general students are unreasonable. Freudenthal has advocated the reinvention method, a pedagogical principle in mathematics education, which would promote the creativity. In this method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Freudenthal believed that the mathematical creativity could not be cultivated through the concretization method in which the teacher transmit a ready-made concept to the pupils. In the article, we close examined the reinvention method, and presented a context of delivery route which is a illustration of reinvention method. Through that context, the principle of pascal's triangle is reinvented progressively.

• 과학교육연구지
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• 제34권2호
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• pp.237-245
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• 2010

이 연구는 지식상태분석법을 이용하여 고등학생들의 유전관련 개념의 위계를 분석하기 위한 것이다. 이를 위해 유전관련 개념 검사문항으로 10, 11학년을 대상으로 검사를 실시하고 검사결과를 바탕으로 지식상태분석법을 이용하여 위계도를 작성하였다. 전체 학생들의 위계와 제7차 과학과 교육과정에 제시된 유전 관련 개념의 위계는 차이가 있는 것으로 나타났다. 학년별 위계를 비교 분석한 결과에서는 전체적인 개념간의 위계관계가 비슷하고 상위 단계와 하위 단계의 개념은 같으나 중간 단계의 개념들은 연결 관계 변화와 단계의 이동이 발견되었다. 그리고 유전관련 개념 성취도별 위계를 비교 분석한 결과 성취도가 높아질수록 하위단계에 속하는 개념의 수가 많아지고 위계 관계가 세분화, 구조화 되는 것을 볼 수 있었다. 효과적인 유전 개념 형성을 위한 구체적인 수업전략 개발과 지식상태분석법으로 작성한 개념의 위계를 실제 수업현장에 적용하여 그 효과를 검증해 보는 사례연구가 이루어져야 할 것이다.

• 한국학교수학회논문집
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• 제1권1호
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• pp.151-163
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• 1998

In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws, acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, character and movement state of various quadratic function graph types can be used. Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Then, students understand the mathematical concepts and the correct quadratic function graph correctly. Consquently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the quadratic function graph", which exists in mathematical curriculum the middle school. When this program is used for students, it is expected the following educational effect. 1, Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 2. This program will cause students to form the mathematical concepts correctly. 3. By visualizing the process of drawing the quadratic function graph, students understand the quadratic function graph structually. 4. Through the feedback, the recognition ability of the trigonometric function can be improved. 5. It is possible to change the teacher-centered instruction into the student-centered instruction. For the purpose of increasing the efficiencies and qualities of mathmatics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, tearchers have to use the CIA program carefully.

• 대한지구과학교육학회지
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• 제6권3호
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• pp.165-173
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• 2013

This study was to analyse the understanding of the concepts of science based on the 6th graders' levels of logical thinking in elementary schools. To achieve the goal of this study, logical thinking test was given to 108 6th graders of elementary school and 32 students were interviewed. The result of this study was as follows. First, 61.1% of students were in concrete operational period in their logical thinking, 27.8% were in their transitional period, and 11.1% were in their formal operational period. By using Flow-Map, 32 students were analyzed and their levels of logical thinking was significantly associated with their understanding of concept. Students' flexibility of cognitive structure was significantly associated with logical thinking and the levels of understanding concepts as well. However, misconception didn't show significant association with levels of logical thinking. Second, the characters of understanding of scientific concept by their levels of logical thinking was that as you get higher levels of logical thinking, their cognitive structure to understand concept was more systemized, in order and more logical. The result of this study suggested the followings in science experiment class. First, 6th graders of elementary schools had various levels of logical thinking and that affected to their understanding of scientific concepts. Therefore, lesson planning and class should be done by reflecting their different levels of logical thinking. Second, since they had different levels of logical thinking, various teaching methods should be utilized to make students understand scientific concepts more systematically.

• 한국초등과학교육학회지:초등과학교육
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• 제17권2호
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• pp.103-111
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• 1998

The purpose of this study was to investigate the relationship among spatial ability, learning styles, visual-perception- recall abiltiy, and the conceptual construction of the earth and moon's motion. Four paper-and-pencil tests were used to measure students' cognitive variables. Spatial ability was measured by Spatial Visualization Test, visual-perception-recall ability was measured by Rey's Figure which also have used to test visual- perception-recall ability of right-temporal lobes, and VVT were used to investigate students' learning styles. further, the test of concept construction was consisted of 15 items about the earth and moon's motion developed by researcher One hundred and twenty-seven 6th-, one hundred and sixteen 7th-, eighty-seven 9th-grade, ninety-three college students were participated in the investigation of the effects of age and learning style on conceptual construction. In the analysis of students' performances, spatial ability, visual-perception-recall ability, and conceptual achievement showed an increasing pattern with grading. In addition, visual learner's conceptual achievement showed a significantly higher score on conceptual test than verbal learner's(p<0.05). The results of the present study supported tile hypothesis that learning styles would differently influence to learning atmospheric concepts by students'learning styles. This study also indicated to be considered the students' spatial ability in learning atmospheric concepts.

• 한국초등과학교육학회지:초등과학교육
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• 제28권2호
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• pp.161-177
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• 2009

This study aims to explore how teachers construct scientific explanation during instructional practices to help students' scientific inquiry. Before investigating teachers' classroom practices, elementary school science curriculum was examined to identify scientific concepts, particularly in earth science. Then, a total of six teachers' scientific explanation in actual teaching practices was analysed focusing on a) explanation of scientific concepts; b) rationale for scientific explanation; c) connection between scientific explanation and everyday explanation. The findings are as follows. First, the science curriculum provides $1{\sim}2$ main scientific concepts per unit, which are mostly appeared in the unit title. Those concepts and sub-concepts are not explicitly described but embedded in students' inquiry activities. Second, the teachers explain scientific concepts and discuss the rationale behind the scientific explanation, but rarely connect scientific explanation to everyday explanation. Also, the level of scientific explanations is low remaining level 1 or 2, not reaching 3, the highest level. Based on the results, the study suggests a) teachers need to provide explicit and clear explanations about scientific concepts; b) teachers are required to connect scientific explanation and everyday explanation; c) the level of teachers scientific explanation should be elevated by using an evidence, reasoning and claim, the components of scientific explanation as well as introducing new scientific concepts and inquiry activities.