• 한국수학교육학회지시리즈A:수학교육
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• 제55권1호
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• pp.1-19
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• 2016

Given the importance of understanding the equal sign in developing early algebraic thinking, this paper investigated how a total of 695 students in grades 2~6 understood the equal sign. The students completed a questionnaire with three types of items (equation structure, equal sign definition, and open equation solving) based on the construct map by four different levels of understanding the equal sign. The questionnaire was analyzed by Rasch model. The results showed that about 80% of the students were at least Level 3 which means a basic relational understanding of the equal sign. However, the success rates varied across grades and it was noticeable that about 70% of the second graders remained at Level 1 or 2 which maintains an operational understanding of the equal sign. The results of item types demonstrated that item difficulty for the advanced relational thinking was the highest and this is the same even for the Level 4 students. This paper is expected to investigate elementary school students' understanding of the equal sign and provide implications of how to deal with the equal sign in the elementary school.

• 한국초등과학교육학회지:초등과학교육
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• 제19권2호
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• pp.57-74
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• 2000

Students' concepts of scientific phenomena have become a point of focus in science education research. This study investigated into developmental process and mechanism of the students' respiration concept through a cross-age study. This study utilized the 1st, 3rd, 6th grade elementary students to find out changes in student's understanding of the concept of respiration. The 1st and 3rd grade level students were interviewed what the respiration mean and whether each of living things respires, etc. The 6th grade students were interviewed and tested. Respiration is a word that students come across often in everyday life. It was found that they were more likely to associate respiration with its more common concept of breathing or gas exchange as opposed to its more scientific definition as the process in which nutrients are oxidized to provide energy. This trend didn't improve as they advanced grade. This is an indication that the knowledge system of student is split into a generic knowledge system and scientific knowledge system. Understanding of concept increased and differentiated across grade levels but that understanding was limited. They overcome their tendency to base their understanding of respiration on their understanding of human phenomena and learn to integrate their understanding of biological phenomena through a one organ - one role type of logic. They also intuitively explain everything based on their own experience.

• 한국지구과학회지
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• 제41권5호
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• pp.520-530
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• 2020

이 연구의 목적은 진안·무주 국가지질공원의 안내 표지판에 제시된 용어에 대한 학생들의 이해 정도를 알아보기 위한 것이다. 이를 위하여 학생 219명(초등학교 147명, 중학교 41명, 고등학교 31명)을 대상으로 지질공원에 대한 인식 수준, 안내 표지판의 유용성에 대한 인식, 그리고 국가지질공원에 설치된 안내판에 제시된 용어에 대한 이해 정도를 알아보기 위한 설문을 실시하였다. 이때 학생들의 용어에 대한 이해정도를 알아보기 위해 지질명소에 설치된 대표적인 안내 표지판 10개를 선정하고 전체 내용을 텍스트 형태로 변환하였으며, 전문가 3인과의 논의를 통해 핵심 용어 256개를 추출한 후 학생들에게 제시하여 이해 정도를 파악하였고, 이에 대한 결과는 다음과 같다. 첫째, 학생들의 지질공원에 대한 인식 수준은 매우 낮은 것으로 나타나 이에 대한 홍보와 교육적 접근이 필요해 보인다. 둘째, 학생들은 안내판에 대해 흥미를 보이지 않았으며 내용이 많고 어려워 이해도가 낮은 것으로 나타났다. 셋째, 256개의 용어 중에서 학생들이 이해하기 어려워하는 용어의 수는 초등학생 80개, 중학생 53개, 고등학생 31개로 나타나 학교 급이 높아지면서 감소하는 경향을 보였다. 이때 용어를 이해하기 어려운 이유는 초등학생은 교육과정에서 아직 배우지 않은 용어이기 때문이며, 중·고등학생은 전문 용어와 한자어에 대한 이해의 어려움 때문인 것으로 나타났다. 따라서 지질공원의 안내 표지판은 학생 및 방문객들이 보다 이해하기 쉽도록 한자어를 쉽게 풀어 쓰거나 전문 용어에 대한 추가 설명이 필요할 것으로 보인다.

• 한국수학교육학회지시리즈A:수학교육
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• 제51권1호
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• pp.21-45
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• 2012

The purpose of the study was to investigate how students understand each operations with whole numbers and fractions, and the relationship between their knowledge of operations with whole numbers and conceptual understanding of operations on fractions. Researchers categorized students' understanding of operations with whole numbers and fractions based on their semantic structure of these operations, and analyzed the relationship between students' understanding of operations with whole numbers and fractions. As the results, some students who understood multiplications with whole numbers as only situations of "equal groups" did not properly conceptualize multiplications of fractions as they interpreted wrongly multiplying two fractions as adding two fractions. On the other hand, some students who understood multiplications with whole numbers as situations of "multiplicative comparison" appropriately conceptualize multiplications of fractions. They naturally constructed knowledge of fractions as they build on their prior knowledge of whole numbers compared to other students. In the case of division, we found that some students who understood divisions with whole numbers as only situations of "sharing" had difficulty in constructing division knowledge of fractions from previous division knowledge of whole numbers.

• 수산해양교육연구
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• 제27권6호
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• pp.1764-1782
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• 2015

The purpose of this study is to investigate the understanding on the acid-base, acid rain and soil acidification of the elementary students. The participants in the current study were 280 6th graders from a elementary school in Gyeongnam Province. A questionnaire consists of four categories: understanding of (a) acid-base basic knowledge, (b) acid rain and (c) soil acidification. (d) In addition, students were asked to comment about the introduction of the acid rain experiment in the science textbook. The results are as follows; First, the results regarding acid-base basic knowledge. They know the classification, characteristics, and properties of acid-based solutions well but they don't know the acid-base neutralization, examples using properties and application in real life. Second, the results regarding acid rain, students know the definition and damage of acid rain but they don't know the causing substances, emission source and way of solution of acid rain for lack of knowledge. Third, the results regarding soil acidification was the well-known part for the students because they had continued learning about the soil from the lesson of acid rain. Also, we looked into the difference in gender and region about the understanding of acid-base, acid rain and soil acidification. According to the gender of the data about the understanding of acid-base, acid rain and soil acidification, the percentage of correct answers of female was higher than male's. Also we expected that urban students were higher than rural students on the understanding of acid-base, acid rain and soil acidification, but the understanding of urban students were similar to rural students. Fourth, we got positive answers and negative answers to the introduction of acid rain experiment. Most of the positive opinion were I want to know a lot acid rain experiment", followed by "It is possible to prevent the risk of the damage and It seems to having fun and new order. Most of the negative opinion were Acid rain experiment may be difficult and complicated followed by Just a theory in the book is enough, Acid rain experiment were boring and not fun, Acid rain experiment is dangerous, There are many to study in this order.

• 한국학교수학회논문집
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• 제5권1호
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• pp.111-122
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• 2002

The purpose of this study was to examine high school second graders' understanding of the basic nature of logarithm, the major type of error they made about logarithmic function and the cause of such an error, and to seek ways to instruct it better. For that purpose, three research questions were posed: 1. Investigate how much high school students in their second year comprehend the nature of logarithm. 2. Analyze what type of error they make about logarithmic function. 3. Analyze the cause of their error according to the selected error models and how it could be taught more efficiently. The findings of this study were as below: First, the natural science students had a better understanding of the basic nature of logarithm than the academic students. What produced the widest gap between the two groups' understanding was applying the nature of logarithm to the given problems, and what caused the smallest gap was the definition of logarithm and the condition of base. Second, the academic students had a poorer understanding of the basic nature of logarithmic function graph and of applying the nature of logarithm to the given problems. Third, the natural science students didn't comprehend well the basic nature of logarithmic function graph, the nature of characteristics and mantissa. Fourth, for all the students from academic and natural science courses, the most common errors were caused by the poor understanding of theorem or nature of the ［E4] model. Fifth, the academic students made more frequent errors due to the unfamiliar signs of the ［El］ model, the imperfect understanding of theorem or nature of the ［E4］ model, and the technical part of the ［E6］ model. Sixth, the natural science students made more frequent errors because of the improper problem interpretation of the ［E2］ model and the logically improper inference of the ［E3］ model.

• 영재교육연구
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• 제14권4호
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• pp.71-91
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• 2004

고등학생 과학영재를 대상으로 하는 상대론 교육을 위해, 과학영재학교로 지정된 부산과학고등학교의 학생 사례 분석을 통한 상대론적 개념 이해에 대한 연구를 제시한다. 특수 상대론이라는 현대 물리 분야에서 발생하는 학생들의 이해도 변화 및 가능한 원인들을 조사하였다. 사전 조사와 사후 조사의 비교 분석에 의하면, 상대론적 개념들에 대한 학생들의 이해 정도가 교육을 통해 전반적으로 향상된 것으로 나타났다. 또한, 학생 사례 분석을 통해 상대론적 개념에 대한 학생들의 이해 및 오개념을 살펴보았다. 학생들이 상대성 원리의 타당성, 광속 불변의 원리가 고전 물리학에 미치는 영향 등에 대해 낮은 이해도를 가지는 것으로 나타났다. 이러한 낮은 이해도를 보이는 개념들에 대한 조사는 고등학생 과학영재의 올바른 개냄 형성을 위한 교육방안 고안에 여러 가지 기여를 할 것으로 보인다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제17권1호
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• pp.63-78
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• 2013

Trigonometric ratios are difficult concepts to teach and learn in middle school. One of the reasons is that the mathematical terms (sine, cosine, tangent) don't convey the idea literally. This paper deals with the understanding of a concept from the learner's standpoint, and searches the orientation of teaching that make students to have full understanding of trigonometric ratios. Such full understanding contains at least five constructs as follows: skill-algorithm, property-proof, use-application, representation-metaphor, history-culture understanding [Usiskin, Z. (2012). What does it mean to understand some mathematics? In: Proceedings of ICME12, COEX, Seoul Korea; July 8-15,2012 (pp. 502-521). Seoul, Korea: ICME-12]. Despite multi-aspects of understanding, especially, the history-culture aspect is not yet a part of the mathematics class on the trigonometric ratios. In this respect this study investigated the effect of history approach on students' understanding when the history approach focused on the mathematical terms is used to teach the concept of trigonometric ratios in Grade 9 mathematics class. As results, the experimental group obtained help in more full understanding on the trigonometric ratios through such teaching than the control group. This implies that the historical derivation of mathematical terms as well as the context of mathematical concepts should be dealt in the math class for the more full understanding of some mathematical concepts.

• 대한수학교육학회지:수학교육학연구
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• 제22권2호
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• pp.117-136
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• 2012

이 연구는 정규분포에 대한 교수학적 변환 방식과 학생들의 이해의 특징을 분석함으로써 고등학교 통계 단원에서 정규분포를 지도하는 것과 관련된 시사점을 얻는데 목적을 두었다. 이를 위해 정규분포의 역사 발생 과정과 학문적 지식으로서 정규분포의 의미를 확인하여 정규분포의 교수학적 변환 방식을 살펴보기 위한 4개의 분석 관점을 추출하고 이를 토대로 미국, 영국, 우리나라 교과서의 정규분포에 대한 교수학적 변환 방식을 분석하였다. 또한 정규분포에 대한 학생들의 이해 특징과 관련된 선행 연구 결과를 살펴봄으로써 고등학생들의 정규분포에 대한 이해의 특징을 기술하는데 필요한 분석 관점을 4가지로 구체화하였으며, 이를 토대로 분석한 학생들의 이해 특징을 4가지로 요약하였다.

• 수산해양교육연구
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• 제28권6호
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• pp.1529-1548
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• 2016

The objective of this study is to explore an effect of class teaching method of utilizing a pictogram on understanding of safety terms by the Hearing Impaired students. For this objective, a class teaching utilizing a pictogram was performed by targeting 4 students (elementary school 6th graders)with auditory disability for app. 3 months during the period from July, 2015 to September and through repeated measurement, an effect of class teaching utilizing pictogram on their understanding of safety terms was analyzed. The result of this study is as follows. First, class teaching utilizing pictogram was effective for enhancing understanding of safety terms. Second, such teaching was effective for promoting interest in safety terms. Through these results, it could be concluded that such teaching method provided an opportunity of enhancing understanding of the students with auditory disability for safety terms. In addition, the result of this study implies that pictogram teaching method being designed to deliver the meaning of target easily and promptly becomes a major factor of exerting a positive influence on understanding of safety terms by the students with auditory disability.