• 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.

• Journal of Science Education
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• v.40 no.1
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• pp.17-30
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• 2016

The purpose of this study was to investigate the effects of problem solving activities of STEAM program on metacognition of middle school students. The subject was 63 middle school students. This study was designed single group pre-posttest. A single-group t-test was performed for analyzing difference between the pre-post test on metacognition. In the result of this study, there was significant difference between pretest and posttest on middle school students' metacognition. Also there was significant difference on metacognitive knowledge and metacognitive regulation. The analysis on the subelements of metacognition showed significant difference between pretest and posttest. The multiple regression analysis to investigate the relation of sub-elements of metacognition was performed in this study. The result of the analysis showed high explanatory power among metacognition subelements. This result suggests that the problem solving activities of STEAM program can have a positive effect in promoting metacognition. of the learner.

• Education of Primary School Mathematics
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• v.17 no.2
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• pp.95-111
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• 2014

The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

• 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.

• 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.

• Communications of Mathematical Education
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• v.33 no.1
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• pp.35-45
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• 2019

Reflection and Meta-Cognition became the centered interest as main subjects of the mathematics education studies together with problem solving education in the 1980s. And lots of researches who have concerned with them have been even progressed actively. But, the concept of the reflection and particularly meta-cognition has been pointed out continually because of its ambiguity and uncertainty. There is almost no researches intended to reveal the concept itself. Although the status of the reflection and/or meta-cognition in mathematics education. Therefore, it is significant at this point in time that the work of examining the concept of the reflection and meta-cognition be accomplished. By this reason, this study tried to examine and find out the essential nature of the concept of reflection and meta-cognition in aspects of mathematics education.

• Journal of Engineering Education Research
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• v.11 no.1
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• pp.5-14
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• 2008

The purpose of this study is to analyze how a well-structured cognitive reflection journal can affect a learner's metacognition and learning achievement in the area of Engineering Education. The objects of this study were 143 students in total (experimental group: 52, control group: 91) who are taking the 'Fundamental Semiconductor Engineering' course in the Engineering Department at D college in the metropolitan area. For his particular study, we undertook three steps as follows. First, we verified that the two groups of students were equal in areas of metacognition and learning achievement. Second, the experimental group was asked to keep writing the well-structured reflection journal for four weeks and the control group was not. Third, we evaluated the metacognition and learning achievement. This study used a questionnaire to measure metacognition by Sperling(2002) in a Korean translation as well as a well-structured cognitive reflection journal. As a result, we found that the well-structured cognitive reflection journal affects learners positively in the sense of metacognition ability, continuity as well as learning achievement.

• Journal of the Korean association of regional geographers
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• v.11 no.2
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• pp.263-277
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• 2005

Since the 1980's, metacognition has been one of the core subjects in the studies on teaching-learning. There have been significant considerations about the metacognition in the reaching-learning become increasingly important in relation with learner's thinking. Though, metacognition has now become important concept used in learning process, there have not been sufficient researches in geographic education. The purpose of this parer is to define metacognition concept in geograpbic education. First, the concept of metacognition in geograpbic education, alike in the other education, can be classified as metacognitive knowledge and metacognitive function. Metacognitive knowledge can be categorized as knowledge about self, task, and strategy. Metacognitive function can be categorized as function about monitoring, evaluating and controling. Next, based on geographical metacognition concept, this paper is researched the characteristics of geographical metacognition in the students' reading maps inquiry activity.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.563-581
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• 2016

Studies on meta-affect in problem solving tried to build similar structures among affective elements as the structure of cognition and meta-cognition. But it's still need to be more systematic as meta-cognition. This study defines meta-affect as the connection of cognitive elements and affective elements which always include at least one affective element. We logically categorized types of meta-affect in problem solving, and then observed and analyzed the real cases for each type of meta-affect based on the logical categories. We found the operating mechanism of meta-affect in mathematical problem solving. In particular, we found the characteristics of meta function which operates in the process of problem solving. Finally, this study contributes in efficient analysis of meta-affect in problem solving and educational implications of meta-affect in teaching and learning in problem solving.

• 한국정보교육학회:학술대회논문집
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• 2005.08a
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• pp.377-384
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• 2005

메타인지는 자신의 인지와 학습활동에 대한 지식과 통제활동의 의미로 사용되었으며, 메타인지 지식은 자기 자신의 인지과정에 대하여 스스로 알고 있는 지식을 의미하고, 메타인지적 기능인 자기 조정능력은 학습활동을 스스로 조정하고 통제하면서 학습을 수행하는 능력을 말한다. 학습정보를 제공하는 피드백이 학습자의 학업성취도를 높인다는 연구들은 교수 학습의 과정에서 피드백이 학습효과를 높이고 학업성취도를 증가시키는데 공헌할 수 있다고 밝히고 있다. 이러한 메타인지와 피드백에 관한 선행연구들을 바탕으로 웹을 기반으로 한 프로젝트 학습에서 학습자의 베타인지 수준에 따라 효과적으로 활용할 수 있는 피드백 유형이 필요함을 제안한다.