• Journal of Science Education
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• v.41 no.1
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• pp.152-165
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• 2017

The magnetic field due to a current is one of the core concepts in electromagnetism which has been taught in secondary science education. In addition, it is a representative example of using visual representations to explain the relation between invisible physical quantities; current and magnetic field. In this study we investigated middle school students' representational competence into three components; interpretation, construction, and application of visual representations. According to the analysis, more than 75 % of the respondents interpreted the meaning of the arrows for current and magnetic field correctly. However, half of them confused the movement of electric charges with the direction of magnetic field. Over 60 % of the students constructed the magnetic field representation as circular closed curves, but many of them could not express the density of field lines properly. In application of visual representations, more than half failed to draw the direction of compass needle correctly. The scores were in order of interpretation, construction and application. There were also significant correlations among three components of representational competence. More attention and research on students' representational competence and effective use of visual representations is needed to better support science learning and teaching.

• School Mathematics
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• v.14 no.1
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• pp.1-28
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• 2012

The purpose of the study are to identify factors of mathematical visualization through the thirty students of highschool 2nd year and to investigate how each visualization factor is used in mathematics problem solving process. Specially, this study performed the qualitative case study in terms of the five of thirty students to obtain the high grade in visuality assessment. As a result of the analysis, visualization factors were categorized into mental images, external representation, transformation or operation of images, and spacial visualization abilities. Also, external representation, transformation or operation of images, and spacial visualization abilities were subdivided more specifically.

• Korean Journal of Cognitive Science
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• v.4 no.2
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• pp.201-262
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• 1994

This paper portrays software reuse as analogical mapping and rule development.In order to explore the impacts of inconsistent representationS on the cognitive process of software resuse,it manipulates the intermal representations of source and target problems and their program solutions.The experimental design for this study has two factors:1)the degree of structural consistency between the source problem and the target problem,and2) the degree of structural consistency between the source problem and the source solution.A full-scale protocol analysis reveals that these two factors influence the cognitive process of mapping between source and target,the process of developing rules,and the interrelation between analogical mapping and rule development.The paper concludes by discussing the implications of these results for software reuse.

• The Mathematical Education
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• v.30 no.2
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• pp.87-96
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• 1991

• Proceedings of the Korean Society for Cognitive Science Conference
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• 2010.05a
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• pp.8-12
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• 2010

• Proceedings of the Korea Society of Mathematical Education Conference
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• 1990.07a
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• pp.64-64
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• 1990

• 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.

• The Mathematical Education
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• v.46 no.2 s.117
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• pp.141-153
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• 2007

The purpose of the study is to analyze children's proportional reasoning and problem solving in proportional problems with/without iconic representations. Proportional problems include 3 tasks such as (a) without any picture, (b) with simple picture, and (c) with/without iconic representation. As a result, children didn't show any significant differences in two tasks such as (a) and (b). However, children showed better proportional reasoning with iconic representation. In addition, 'build-up expression' strategy was used mostly in solving problems and 'additive strategy' was shown as an error which students didn't make an appropriate proportional relation expression and they made a wrong additive strategy.

• Communications of Mathematical Education
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• v.16
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• pp.245-267
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• 2003

수학적 문제 해결은 수학 교육에서 중요한 이슈이고 문제 해결 전략으로서의 유추를 주제로 본 연구에서는 중학생들을 대상으로 단순히 유사한 문제를 제시하는 것만으로 문제 해결에 성공을 할 수 있는지, 문제 해결에 성공을 할 수 없다면 중학생들에게 어떤 과정을 제시해야만 문제 해결 과정에서 유추를 사용하여 문제를 해결 할 수 있는지를 알아보고자 한다. 이를 위하여 본 연구에서는 유추에 의한 문제 해결과정을 표상 형성, 인출, 사상, 적합성, 스키마 형성의 과정으로 보고, 이러한 과정 중 사상 단계에서 사상 과정의 명료화를 중심으로 학생들의 유추 추론에 의한 문제해결 과정을 탐구하였다. 연구 결과, 유추 추론 과정에서 근거 문제만을 제시하는 것은 목표 문제를 해결하는데 유추 추론의 성공을 보장한다고 할 수 없었으며, 근거 문제가 제시되었는데도 목표 문제를 해결하지 못하는 경우 사상 과정을 명료화하자 목표 문제를 성공적으로 해결하였다. 또한 학생들은 목표 문제의 성공 이후 유사한 새로운 목표문제를 푸는데 성공하였다.

• Korean Journal of Culture and Social Issue
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• v.8 no.2
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• pp.51-76
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• 2002

Using open-ended questionnaires, two studies were conducted to explore social representations held by Korean undergraduates on children, adults and adolescents. Study 1 compared between children and adults with responses reported by 97 undergraduates(men: 28, women: 69). According to the results, characteristics of children distinctive from adults were basically personality-related and in particular, typical children were marked by high extroversion, low agreeableness, conscientiousness and culture. Further, happiness for both children and adults was determined mainly by interpersonal relationships, physical health and socio-economical status. However, good(or desirable) children characteristic of high agreeableness and conscientiousness were more similar to adults worthy of the name than to children worthy of the name. Using 57 undergraduates(men: 16, women: 41), Study 2 explored social representations of adolescents. The results indicated that overall adolescence were on the bridging state between childhood and adulthood. Happiness for adolescents, like both children and adults, was determined mainly by interpersonal relationships and socio-economical status. Finally, agreeableness, conscientiousness, self-, task- and relationship-related characteristics were involved in judging good(or desirable) adolescents. These findings were discussed in terms of features of Korean culture and human development.