• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.201-220
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• 2007

This research is designed to analyze the metacognitive thinking that mathematically gifted elementary students use to solve problems, study the effects of the metacognitive function on the problem-solving process, and finally, present how to activate their metacognitive thinking. Research conclusions can be summarized as follows: First, the students went through three main pathways such as ARE, RE, and AERE, in the metacognitive thinking process. Second, different metacognitive pathways were applied, depending on the degree of problem difficulty. Third, even though students who solved the problems through the same pathway applied the same metacognitive thinking, they produced different results, depending on their capability in metacognition. Fourth, students who were well aware of metacognitive knowledge and competent in metacognitive regulation and evaluation, more effectively controlled problem-solving processes. And we gave 3 suggestions to activate their metacognitive thinking.

• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.271-290
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• 2005

오래 전부터 수학과의 연구는 학생들의 문제 해결력에 관하여 집중되어 온 것이 사실이다. 그럴 때마다 수학적 사고력에 관한 연구도 상당히 많은 부분이 있어 왔다. 본고에서는 학생들의 수학적 사고를 돕기 위한 방법으로 메타 인지를 강조함으로써 보다 까다로운 (비정형) 문제들의 문제 해결을 돕고자 하였다. 따라서 메타 인지를 유발하는 수업(소수 학습)을 통하여 학생들의 문제 해결력(정형 - 비정형)에서 유의미한 차이가 있는지를 알아보고, 궁극적으로는 메타 인지적 사고가 비정형 문제들을 해결하는 데 미치는 영향을 밝혀 수학 학습의 발전 방안을 찾고자 한다.

• The Korean Journal of Community Living Science
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• v.21 no.4
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• pp.499-507
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• 2010

본 연구의 목적은 최근 Hawk(2007)이 자녀 및 양육과 관련된 부모의 의도적 사고로 제시한 메타양육(MPQ) 척도를 한국 어머니들을 대상으로 타당화하는 것이다. 연구결과 첫째, 원래 MPQ에는 예상, 평가, 반성적 사고, 문제해결 등 4개의 요인이 있었으나 본 연구에서는 예상 요인과 반성적 사고 요인이 같은 요인으로 추출되었다. 둘째, 한국 어머니들은 미국 어머니보다 메타양육 수준이 높았으나 상대적으로 예상과 반성적 사고 요인에 더 높은 점수를, 그리고 문제해결에 더 낮은 점수를 나타내고 있었다. 그러나 한국 어머니들을 대상으로 한 K-MPQ는 상당히 안정적 구조로 높은 내적 일치도를 보였다. 셋째, 한국 어머니들의 메타양육 요인들은 대체로 양육신념 및 양육실제와 정적 상관이 있었다.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.291-305
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• 2009

The purpose of this article is to formulate the base that mathematical thinking power can be improved through activating the metacognitive ability of students in the math problem solving process. The guidance material for activating the metacognitive ability was devised based on a body of literature and various studies. Two high school students used it in their math problem solving process. They reported that their own mathematical thinking power was improved in this process. And they showed that the necessary strategies and procedures for math problem solving can be monitored and controled by analyzing their own metacognition in the mathematical thinking process. This result suggests that students' metacognition does play an important role in the mathematical thinking process.

• Journal of the Korean Chemical Society
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• v.67 no.4
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• pp.271-280
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• 2023

The purpose of this study is to investigate the effect of chemistry program based on metacognitive learning strategies using realistic contents on prospective teachers' creative thinking skills and science core competencies, and their perception. In particular, it was intended to further improve the effectiveness of the program by introducing a strategy to strengthen metacognition. Participants were classified into the experimental group subject to the newly developed chemistry curriculum and traditional group subject to general programs that exclude realistic contents and metacognitive strategies. Both groups were surveyed before and after the application of the program to measure the degree of change in metacognitive competencies, creative thinking competencies, and science core competencies. It also analyzed the impact of metacognitive competencies and science core competencies on creativity thinking competencies. As a result of the study, relevance and rationality among sub-factors of metacognitive competencies and creative thinking competencies of the experimental group were improved, and all sub-factors except for scientific participation and lifelong learning ability among science core competencies were significantly improved. In addition, it was found that metacognitive knowledge among metacognitive competencies, scientific inquiry ability and scientific thinking ability among science core competencies affect creative thinking competencies. Through the results, it was suggested that realistic content that incorporates metacognitive learning strategies is needed to improve creative thinking competencies, and learning models and programs that can utilize them are needed.

• Journal of Educational Research in Mathematics
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• v.14 no.4
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• pp.403-419
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• 2004

The perspective on this study assumes that the mathematical modeling activity provides students with the environment which promotes metacognitive thinking. The purposes of this paper are to investigate metacognitive thinking on the mathematical modeling with the result of case study. The study revealed that development of students' model was accompanied with the control and monitoring of modeling activities. Also students refined the model by self-assessment and peer-assessment in small group modeling activities and developed generalizable model.

• 한국HCI학회:학술대회논문집
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• 2009.02a
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• pp.1009-1014
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• 2009

Meta-thinking is a kind of thinking beyond certain scope or border, which sees objects as an expanded definition exceeding its essence. It can be experienced when people come into contact with new things. As for digital media, experience acquired from computer screen makes users' thinking be changed continuously and help their thinking to be expanded. Today, studies on development of digital technology regarding virtual reality (VR) and experience obtained from digital media become a topic of conversation, however, this experience depends on the sense of sight through screen. Actually, transparent experiences in digital media are not the same with those in real world, therefore, this study investigated experience expansion through interaction with real things which are much closer to daily lives than virtual experiences. It can be found in media art which induces positive participation of audiences and shows them a new meaning through delight and amusement experienced in the process of interaction. Visual expression in digital media should be more than spectacular which is only full of excessive images. In addition, interface should not be remained as an expression from technological attempts, instead, it is necessary to find humans aspiration with meta-thinking which accepts things expansively and visualize their experiences.

• Journal of Science Education
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• v.40 no.3
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• pp.203-218
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• 2016

The purpose of this study was to investigate the effects of reflective thinking-based laboratory report on learners' metacognition and inquiry skills. In a general physics experiment class consisting of 11 experiments, 20 college students used reflective thinking-based laboratory report, and then the changes of their metacognition and inquiry skills were compared with those of who used general laboratory report. The opinions of students used reflective thinking-based laboratory report were surveyed. The results showed that their metacognitions were increased more than those of comparison group that used common experiment report. Their inquiry skills also were increased as much as comparison group's. According to the survey results, they recognized that reflective thinking-based laboratory report helps to improve their performance, metacognitions, and inquiry skills.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.257-276
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• 2023

Mathematical modeling can be described as a series of processes in which real-world problem situations are understood, interpreted using mathematical methods, and solved based on mathematical models. The effectiveness of mathematics instruction using mathematical modeling has been demonstrated through prior research. This study aims to explore insights for mathematical modeling instruction by analyzing the metacognitive characteristics shown in the mathematical modeling cycle, according to the mathematical thinking styles of elementary math gifted students. To achieve this, a mathematical thinking style assessment was conducted with 39 elementary math gifted students from University-affiliated Science Gifted Education Center, and based on the assessment results, they were classified into visual, analytical, and mixed groups. The metacognition manifested during the process of mathematical modeling for each group was analyzed. The analysis results revealed that metacognitive elements varied depending on the phases of modeling cycle and their mathematical thinking styles. Based on these findings, didactical implications for mathematical modeling instruction were derived.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.211-222
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• 2004

신체적 체험은 인간의 사고를 형성하는 바탕이 된다. 문제해결 경험은 인간 사고를 한층 더 발전시킨다. 특히 사물의 형태와 움직임을 관찰하고, 그러한 환경에 감각-운동 신경을 발달시키는 체험에서 획득된 개념들은 추상적 사고에서 중심적 역할을 한다는 언어심리학의 가설이 흥미롭게 제기되어 연구되어 오고 있다. 개념체계로서 수학, 언어로서 수학, 의미 만들기로서 수학 , 문제 해결로서 수학 등 수학학습과 관련된 수학의 여러 모습에 대한 새로운 시각을 갖게 한다. Lakoff와 Johnson는 신체적 체험이 가져온 이러한 개념체계들 '메타포'라고 부른다. 메타포의 '개념' 수준으로의 확장은 analogy의 의미를 확장시켰다. 수학학습에 신체적 체험으로 존재하는 개념들은 수학적 개념에 이르는 학습을 새롭게 보게 한다. 본 연구는 metaphor와 analogy의 인지과학 및 언어과학에서 연구되고 있는 일반적 의미들을 제시하고 수학학습에서의 적용될 수 있는 방법들을 제시한다.