• Journal of the Korean Society of Earth Science Education
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• v.14 no.1
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• pp.1-20
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• 2021

The purpose of this study was to understand students' representational competence while they engaged in learning in geological field trips with scientific models and modeling(Mt. Gwanak and the Hantan-river were formed). Ten students agreed to participate in this study voluntarily. They were attending the Institute of Gifted Education in the Seoul Metropolitan area. The data were collected for all students' activities during field trips and modeling activities using simultaneous video and voice recording, the interview after classes, written data(note) made by the students. The analysis framework that distinguished levels of representational competence and added the resulting interpretation with the final models in the process of scientific models. Results suggested that representational competence levels varied from one to six. However, students showed relatively low levels of representational competence in outdoor learning environments than indoor learning environments. In other words, it began with a relatively low level of representational competence in outdoor class. Then students developed a higher level of representational competence indoor class. Ultimately, we need to understand students' representational competence implies a tool to explain phenomena in the process of modeling activities.

• Communications of Mathematical Education
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• v.29 no.2
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• pp.215-239
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• 2015

A goal of this study is figuring out how fraction learning centered on various representation activities influences the fraction comprehension and mathematical attitudes. The study focused on 33 4th-grade students of B elementary school in Seoul. In the study, 15 fraction learning classes comprising enactive, iconic, and symbolic representations took place over 6 weeks. After the classes, the ratio of the students who achieved relational understanding increased and the students averagely recorded 90 pt or more on the fraction comprehension test I, II and III. Two-dependent samples t-test was conducted to analyze a significant difference in mathematical attitudes between pre-test and post-test. On the test result, there was the meaningful difference with 0.01 level of significance. To conclude, the fraction learning centered on various representation activities improves students' relational understanding and fraction understanding. In addition, the fraction learning centered on various representation activities gives positive influences on mathematical attitudes since it increases learning orientation, self-control, interests, value cognition, and self-confidence of the students and decreases fears of the students.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.129-144
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• 2009

The purpose of the study was to investigate the effects of the use of RNP curriculum based on Lesh translation model on third grade students' understandings of fraction concepts and problem solving ability. Students' conceptual understandings of fractions and problem solving ability were improved by the use of the curriculum. Various manipulative experiences and translation processes between and among representations facilitated students' conceptual understandings of fractions and contributed to the development of problem solving strategies. Expecially, in problem situations including fraction ordering which was not covered during the study, mental images of fractions constructed by the experiences with manipulatives played a central role as a problem solving strategy.

• Korean Journal of Logic
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• v.5 no.1
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• pp.1-26
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• 2001

컴퓨터라는 새로운 매체의 도입의 이점이 컴퓨터 매체의 제반 특성들을 잘 활용함으로써 학생들의 호기심을 유발하고 학생들의 학습 효과를 높일 수 있다는 데에만 국한되는 것은 아니다. 새로운 컴퓨터 매체의 도입은 논리학의 여러 중심 개념들 자체에 대한 이해의 심도를 증진시킴으로써 논리학을 새로운 영역으로 확대시켜 주기도 한다. 그 새로운 영역은 그림과 같은 비언어적 표상을 핵심적으로 포함한 추론, 즉 문자와 그림을 동시에 포함하는 이질적인 추론(heterogeneous reasoning)을 허용하는 영역이다. 논리학은, 정보가 어떻게 표상되든 상관없이, 정보 추출의 타당한 형태들에 관한 연구이다. 전통적으로 논리학자들은 정보 추출의 타당한 형태들의 매우 작은 부분(즉, 언어적 표상)에만 초점을 맞추었다. 그러나 컴퓨터 매체의 활용과 더불어 이제 논리학은 시각적 표상을 포함하여 다양한 표상들을 어떻게 사람들이 사용하는지 파악해야 한다. 이러한 과업의 성취를 위해, 구문론, 의미론, 논리적 귀결, 증명, 반례 등의 전통적 개념을 이러한 새로운 형태의 표상들을 수용할 수 있는 방식으로 확장하고 풍부하게 만들어야 한다. 그림 표상과 문자 표상을 함께 사용하는 추론 체계인 Hyperproof에 대한 연구는 이러한 확장된 논리 이론을 형성하는 데 기여한다.

• Journal of the Korean Geographical Society
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• v.34 no.1
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• pp.85-98
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• 1999

이 논문은 '경관'과 '기호'표상에 근거한 지역학흡의 실제를 제시하기 위한 것이다. '경관'과 '기호' 표상은 오랜 역사적인 과정을 통해서 그 지역에서 구성된 지역적인 담론을 보다 구체적인 형태로 보여주는 것이므로 지역정체성 향상에 크게 기여할 수 있다. 오랜 역사적인 과정 속에서 형성된 지역담론은 각각의 시대적인 맥락에 따라 다양한 층위를 지니고 있다. 따라서 지역 담론은 지역의 변화된 모습에 대한 이해뿐만 아니라 오늘날의 지역을 이해하는 데에도 도움을 줄 수 있어 지역학습의 중요한 지표가 될 수 있다. 나아가 '경관'과 '기호'표상은 그 지역 사람들의 생활세계를 구성하고 있는 중요한 요소이므로 학습자의 삶과 유리되지 않는 지역학습을 할 수 있다는 점에서 커다란 의미가 있다고 본다.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.427-450
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• 2012

Using representations is essential for students to organize their thinking, to solve problems and to communicate each other. Students express information or situations suggested by problems easily and organize and infer them systematically using representations. Also, teachers are able to comprehend students' levels of understanding and thinking process better through them, and influence their representations. This study was conducted to understand mathematical representations of students uprightly and to seek implications for proper teaching of representations, by analyzing representations of students in mathematical problem solving process and the transformation process of representation via interactions.

• Proceedings of the Korean Society for Cognitive Science Conference
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• 2002.05a
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• pp.92-98
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• 2002

복잡한 기능이나 개념을 제한된 공간에 효과적으로 표현하는데 아이콘이 널리 이용된다. 이러한 아이콘 개발이 디자이너의 미적인 기준이나, 시스템에서 일률적으로 사용에 의해 결정되는 경향이 있다. 본 연구는 동일한 정보를 포함하는 아이콘이나 레이블같이 서로 다른 표상들이 그 표상 방식의 유용성 측면에서 다른 결과를 보일 수 있으며, 기능의 표상 방식이 다르면, 아이콘이나 레이블에 대한 이해가 서로 다른 인지 처리 체계를 거친다는 기본 가정에 근거를 두고 진행되었다. 구체적으로는 아이콘을 기존에 형성된 표상 방식들 가운데서 인지적 특성을 고려한 표상들로 분류한 기준을 이용하여, 실제 컴퓨터 사용자 환경에서 통용되고 있는 아이콘들을 수집, 분류하고, 각각의 표상 방식에 따른 아이콘의 유용성을 알아보고자 각 아이콘에 대응되는 레이블과의 수행을 비교하였다. 결과에 따르면, 새로운 기능을 익혀야하는 초기에는 아이콘보다 레이블과 같은 텍스트가 더욱 효과적이지만, 익숙해진 후 그 수행이 비슷해짐을 확인했다. 그러나 임의적 표상방식으로 디자인된 아이콘은 레이블보다 더 부정확하고 느린 수행을 지속적으로 나타냈고, 기능의 세 가지 표상방식에 따라서 아이콘에 대한 수행이 서로 다른 패턴을 보였다. 이는 아이콘과 같은 컴퓨터 사용자 인터페이스의 설계와 사용 단계에서, 표현하고자 하는 기능과 사용자의 인지적 속성인 표상 방식을 충분히 고려해야 한다는 것을 보여준다.

• Korean Journal of Cognitive Science
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• v.8 no.4
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• pp.19-33
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• 1997

Icon is a small graphic which represents a particular function in computer interface. Comprehension and learning of icons are needed for using them because they represent some meanings. This study was conducted to examine which were more important factors in using icons. First, representational characteristics of icons were examined. Second, using a eyetracker, the way of coding of redundant display was examined which removed obscurity of display and gave more meaning to a user. Icons using attribute of object and direct discription of action were more efficient than icons of other representational form in comprehension. Redundant display was proved to have some advantages, especially when the icons had low familarity. Visual information processing of icons were discussed according to familarity and learning.

• School Mathematics
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• v.18 no.1
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• pp.127-141
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• 2016

This study analyzes modes related to use of graph representation that appears to solve high school students quadratic function problem based on the graph using modes of Chauvat. It was examined the extent of understanding of the quadratic function of students through the flexibility of the representation of the Bannister (2014) from the analysis. As a result, the graph representation mode in which a high school students are mainly used is a nomographic specific mode, when using operational mode, it was found to be an error. The flexibility of Bannister(2014) that were classified to the use of representation from the point of view of the object and the process in the understanding of the function was constrained operation does not occur between the two representations in understanding the function in the process of perspective. Based on these results, the teaching on use graph representation for the students in classroom is required and the study of teaching and learning methods can understand the function from various perspectives is needed.

• School Mathematics
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• v.18 no.2
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• pp.257-275
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• 2016

The purpose of this study was to investigate the impact of multiple representations on students' understanding of fractions, decimals, and percent. The instructional approach integrating multiple representations was compared to traditional algorithmic instruction, a form of direct instruction. To examine and compare the impact of multiple representations instruction with traditional algorithmic instruction, pre and post tests consisting of five similar items were administered with 87 middle school students. Students' scores in these two tests and their problem solving processes were analyzed quantitatively and qualitatively. The quantitative results indicated that students taught by traditional algorithmic instruction showed higher scores on the post-test than students in the multiple representations group. Furthermore, findings suggest that instruction using multiple representations does not guarantee a positive impact on students' understanding of mathematical concepts. Qualitative results suggest that the limited use of multiple representations during a class may have hindered students from applying their use in novel problem situations. Therefore, when using multiple representations, teachers should employ more diverse examples and practice with multiple representations to help students to use them without error.