• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.461-472
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• 2015

Korean students are taught area formulas of parallelogram and triangle by inductive reasoning in current curriculum. Inductive thinking is a crucial goal in mathematics education. There are, however, many problems to understand area formula inductively. In this study, those problems are illuminated theoretically and investigated in the class of 5th graders. One way to teach area formulas is suggested by means of process of problem solving with transforming figures.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.491-496
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• 2004

• Communications of Mathematical Education
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• v.5
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• pp.335-354
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• 1997

• Communications of Mathematical Education
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• v.3
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• pp.107-123
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• 1997

• 한국과학교육학회:학술대회논문집
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• 2008.01a
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• pp.137-137
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• 2008

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.247-265
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• 2003

The purpose of this study is to analyze the essence of ratio concept from educational viewpoint. For this purpose, it was tried to examine contents and organizations of the recent teaching of ratio concept in elementary school text of Korea from ‘Syllabus Period’ to ‘the 7th Curriculum Period’ In these text most ratio problems were numerically and algorithmically approached. So the Wiskobas programme was introduced, in which the focal point was not on mathematics as a closed system but on the activity, on the process of mathematization and the subject ‘ratio’ was assigned an important place. There are some educational implications of this study which needs to be mentioned. First, the programme for developing proportional reasoning should be introduced early Many students have a substantial amount of prior knowledge of proportional reasoning. Second, conventional symbol and algorithmic method should be introduced after students have had the opportunity to go through many experiences in intuitive and conceptual way. Third, context problems and real-life situations should be required both to constitute and to apply ratio concept. While working on contort problems the students can develop proportional reasoning and understanding. Fourth, In order to assist student's learning process of ratio concept, visual models have to recommend to use.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.791-810
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• 2017

This study explored the possibility of using visual models in teaching proportional reasoning based on the review of previous studies. Many studies on proportional reasoning emphasize that students tend to simply apply formal procedures without understanding the meaning behind them and that using visual models may be an alternative to help students develop informal strategies and proportional reasoning. Given these, we re-constructed and implemented the unit of a textbook to teach sixth graders proportional reasoning with ratio table, double number line, and double tape diagram. The results of this study showed that such visual models helped students understand the meaning of proportion, explore the properties of proportion, and solve proportional problems. However, several difficulties that students experienced in using the visual models led us to suggest cautionary notes when to teach proportional reasoning with visual models. As such, this study is expected to provide empirical information for textbook developers and teachers who teach proportional reasoning with visual models.

• Proceedings of the Korea Inteligent Information System Society Conference
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• 2005.11a
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• pp.497-499
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• 2005

정성적 추론은 자연 세계에 대한 정성적, 직관적인 지식을 밝혀내어 코드화하는 목표를 갖고 연구되어왔다. 정성적 추론은 전자, 기계 등의 도메인에서 성공적으로 사용되어 그 실효성을 입증할 수 있었으나, 대부분의 추론은 시뮬레이션에 집중되어 왔다. 본 연구에서는 주어진 상황에서 변화가 발생했을 때, 이 변화가 어떻게 영향을 미치며 파급되는지를 예측할 수 있는 정성적 비교분석 기법을 소개하고지 한다. 주어진 상황에 대한 인과모델이 정성적 분야 모델로부터 형성되고 여기에 비교분석 추론 기법을 적용하여 변화의 연쇄적인 인과 관계를 추적하게 된다. 이러한 기법은 변화의 예측 뿐 아니라, 이런 변화를 이끌어낸 인과 관계를 설명하는 기능을 제공하게 되어, 디자인, 진단, 지능형 교육 시스템, 환경 영향평가 등에 이용되리라 기대된다.

• Education of Primary School Mathematics
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• v.24 no.1
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• pp.43-69
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• 2021

The purpose of this study is to confirm the influences of learner-centered instruction on learners' achievement and reason ability. In order to accomplish them, the fraction unit and the polygonal unit in the fourth grade were implemented with teaching methods and materials suitable for learner-centered mathematics instruction. Some conclusions could be drawn from the results as follows: First, learner-centered mathematics instruction has a more positive effect on learning of learned knowledge and generating unlearned knowledge in the experimental period than teacher-centered instructions. Second, learner-centered instruction makes an influence of low learning ability on getting achievement positively. Third, as the experimental treatment is repeated, learner-centered instruction has a positive effect on students' reasoning ability. The reasoning ability of students showed a difference in the comparison between the experimental group and the comparative group, and within the experimental group, there was a positive effect of the extension of the positive reasoning ability. Fourth, it can be estimated that the development of students' reasoning ability interchangeably affected their generation test results.

• Journal of The Korean Association For Science Education
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• v.18 no.3
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• pp.427-441
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• 1998

The present study tested the hypothesis that adolescents' performance on scientific reasoning tasks and their ability to change theoretical concepts during instruction are mediated by prefrontal-cognitive functions, such as planning and inhibiting. Subjects sampled from four Korean secondary schools were administered a test of scientific reasoning ability and tests of the prefrontal lobe functions. A series of lessons on theoretical concepts was also administered. Subjects' performance on the test of scientific reasoning and pre- to posttest gains in the concept test were used as dependent variables. This study found that students' planning and inhibiting abilities were highly correlated with and they significantly predicted their scientific reasoning ability and conceptual gains. Further, principal component analysis showed prefrontal lobe functions were categorized into two main components. Component 1, which was loaded by planning and working memory functions, was termed as the representing process. Component 2, which was loaded primarily by the inhibiting functions, was termed as the inhibiting process. Scientific reasoning and conceptual change were also linked to these two components, indicating that these cognitive processes are mediated by both representing and inhibiting processes.