• Research in Mathematical Education
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• v.25 no.4
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• pp.245-266
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• 2022

This study examines how teaching metacognitive strategies to students in a sixth-grade mathematics class affects their metacognitive awareness. Participants were 36 sixth-grade students in a middle school affiliated with the Ministry of National Education of Turkey in the 2020-2021 academic year. The students in the experimental group (n = 18) were taught a total of 40 mathematics lessons for eight weeks to improve their metacognitive awareness. The students in the control group (n=18) were taught mathematics in line with the regular mathematics curriculum. Using the Jr. Metacognitive Awareness Inventory, participants in both groups took a pre-test at the beginning and a post-test at the end of the study. To better interpret the data obtained, various statistical tests were performed. The pre-test and post-test averages of the groups were compared using the t-test for the normally distributed data for dependent and independent groups. The pre-test results showed no significant difference between the metacognitive awareness scores of the experimental and control groups (p>0.05). The comparison of post-test averages showed that students' metacognitive awareness differed significantly in favor of the experimental group (p<0.05). According to this, it was concluded that metacognitive strategy teaching in mathematics courses positively affected students' metacognitive awareness levels.

• The Mathematical Education
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• v.43 no.3
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• pp.217-231
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• 2004

The purpose of this paper is to investigate a new method for activating the metacognitive abilities that play a key role in the Mathematical Problem Solving Process (MPSP). The proposed research question is as follows: Can the MPSP activate metacognitive abilities of high school students in the pencil-and-paper environment using guidance material for metacognitive activities\ulcorner To solve this question, two case studies have been carried out. Two students for the study were selected via informal interview. They voluntarily took part in 13 experimental lectures. The activating paths of their metacognitive abilities in the MPSP were chronically described and analyzed. All the activating processes of the students focusing on the aspects of metacognitive behaviors were analyzed by means of interview, observation, self-report, and activity data. The two high school students participating in the MPSP voluntarily recognized and reflected their deficiencies in metacognitive abilities, and therefore maximized their own performance. They made quite significant progress in the course of activating their metacognitive abilities through voluntary participation and gained greater confidence in the MPSP. Hence they have become good problem solvers. They expressed not only the factors influencing their behavior but also their self-awareness during the metacognitive activities. In the long run, this experiment will increase possibilities for the internalization of the metacognitive process.

• 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.

• The Mathematical Education
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• v.42 no.5
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• pp.623-636
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• 2003

Metacognition is defined to be 'thinking about thinking' and 'knowing what we know and what we don't know'. It was verified that the metacognitive abilities of high school students can be improved via instruction. The purpose of this article is to investigate a new method for activating the metacognitive abilities that play a key role in the Mathematical Problem Solving Process(MPSP). Hyunsung participated in the MPSP using Visual Basic Programming. He actively participated in the MPSP. There are sufficient evidences about activating the metacognitive abilities via the activity processes and interviews. In solving mathematical problems, he had basic metacognitive abilities in the stage of understanding mathematical problems; through the experiments, he further developed his metacognitive abilities and successfully transferred them to general mathematical problem solving.

• English Language & Literature Teaching
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• v.18 no.2
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• pp.1-20
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• 2012

This study aims to propose using English reading strategies to enhance Intercultural Communicative Competence (ICC) for EFL learners. The study recruited college-level participants who were enrolled in a general English reading course (N=30) and administrated the surveys with a Repeated Measures Design (RMD). In the survey, an intercultural sensitivity scale and metacognitive reading strategies inventory were conducted for comparison. During the instruction, participants were asked to use the R.I.D.E.R. (i.e. Read, Image, Describe, Evaluate, and Repeat) strategy for visualization of text, which is aimed at facilitating the use of metacognitive reading strategies. In the results, participants showed a statistically significant increase both in the intercultural sensitivity level and the use of metacognitive reading strategies after the practice of R.I.D.E.R for one semester. Further analysis was appended to the results by the correlation and regression analysis, and proposed that participants benefit their development of intercultural sensitivity from the use of metacognitive reading strategies. Therefore, the study suggests that implementing metacognitive reading strategies facilitates college EFL readers to increase their cultural sensitivity, which empowers ICC through English reading (176words).

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.717-746
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• 2014

The study aimed to explore how to improve mathematical thinking through metacognitive learning by stressing metacognitive abilities as a core strategy to increase mathematical creativity and problem-solving abilities. Theoretical exploration was followed by an analysis of correlations between metacognitive abilities and various ways of mathematical thinking. Various metacognitive teaching and learning methods used by many teachers at school were integrated for sharing. Also, the methods of learning application and assessment of metacognitive thinking were explored. The results are as follows: First, metacognitive abilities were positively related to 'reasoning, communication, creative problem solving and commitment' with direct and indirect effects on mathematical thinking. Second, various megacognitive ability-applied teaching and learning methods had positive impacts on definitive areas such as 'anxiety over Mathematics, self-efficacy, learning habit, interest, confidence and trust' as well as cognitive areas such as 'learning performance, reasoning, problem solving, metacognitive ability, communication and expression', which is a result applicable to top, middle and low-performance students at primary and secondary education facilities. Third, 'metacognitive activities, metaproblem-solving process, personal strength and weakness management project, metacognitive notes, observation tables and metacognitive checklists' for metacognitive learning were suggested as alternatives to performance assessment covering problem-solving and thinking processes. Various metacognitive learning methods helped to improve creative and systemic problem solving and increase mathematical thinking. They did not only imitate uniform problem-solving methods suggested by a teacher but also induced direct experiences of mathematical thinking as well as adjustment and control of the thinking process. The study will help teachers recognize the importance of metacognition, devise and apply teaching or learning models for their teaching environments, improving students' metacognitive ability as well as mathematical and creative thinking.

• Journal of Engineering Education Research
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• v.26 no.2
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• pp.32-44
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• 2023

This research aims to examine the role of writing self-efficacy in engineering students' writing metacognitive strategies and writing apprehension. To achieve this purpose, first, the relationships among writing self-efficacy, writing metacognitive strategies and writing apprehension were investigated. Second, the effects of writing self-efficacy, as perceived by engineering students, on writing metacognitive strategies as well as writing apprehension were explored. A total of 173 engineering students from one university in Korea responded to survey based on a three-variables scale. The findings were that, firstly, positive correlations between writing self-efficacy and writing metacognitive strategies were identified in terms of sub-factors of those two variables. Secondly, negative correlations between writing apprehension and writing self-efficacy, and between writing apprehension and writing metacognitive strategies, were identified in terms of sub-factors of those variables. Thirdly, writing self-efficacy predicted engineering students' writing metacognitive strategies' sub-factors and writing apprehension. The practical implications of these findings are discussed herein, with particular attention on education for promotion of writing self-efficacy and reduction of writing apprehension.

• Journal of Korean Elementary Science Education
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• v.25 no.1
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• pp.39-50
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• 2006

The purpose of this study was to investigate the effect of metacognitive strategy on conceptual acquisition ofvseasonal change and self-efficacy when it was applied to 6th grade elementary students. This study consists of 2 classes, 76 students in the 6th grade of elementary school, which were divided into the experimental group (38) and the control group (38). First, a pre-test was administrated to check students' levels of metacognitive self-regulation and self-efficacy prior to getting planned lessons and then an instruction program was developed based upon the metacognitive instruction model and students' conception. The control group was exposed to traditional methods mainly using the textbook and teacher's guide book. The experimental group employed a metacognitive learning strategy program and activities with metacognitive questionnaires. After the planned lessons, the students were tested with post-tests about the conception of seasonal change and self-efficacy. One month later the students were tested again with another test to determine the continuation effect. The results were as follows: First, the group that used metacognitive conceptual change instruction did better in forming and continuing to maintain the scientific seasonal change conceptions compared to the control group. Second, the high and intermediate group taught by metacognitive conceptual change instruction was higher in the level of self-regulation than the control group. However, it was not verified in the low group. Third, the group which used metacognitive conceptual change instruction showed a higher level of self-efficacy than the control group did.

• English Language & Literature Teaching
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• v.15 no.3
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• pp.249-282
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• 2009

This study reports on the use of the trait and state cognitive/metacognitive strategy use and the difference of the trait/state strategy use according to students' proficiency level. First of all, for checking up the trait strategy use, 119 first-grade male students in a high school completed the questionnaire on strategies which they thought they used during a reading test. Secondly, to find out their state strategy use, students took a fifteen-item reading comprehension test, followed by filling out questionnaires on cognitive and metacognitive strategies used in the test. This study employed quantitative data analysis. The results suggested that (1) the cognitive and metacognitive strategy use in the trait and state conditions are used the most by the high proficiency group and they are correlated respectively; (2) these strategies are used with statistically significant difference according to students' proficiency level, especially to the lower level students. The highly successful group uses the cognitive and metacognitive strategy in the actual test situation more than the lower proficient group; there is no difference in trait and state strategy use.

• Research in Mathematical Education
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• v.5 no.1
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• pp.59-75
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• 2001

This paper reports an investigation of problem solving activities of students at university level students. The study focused on the cognitive-metacognitive and affective activities appeared in problem solving process. The cognitive-metacognitive framework was used to analyzed and categorize the written response and free response of interviews probing the students\\` cognitive-metacognitive activities. Affective factors were assessed by administering the problem solving survey (Carlson, The emergence of students\\` problem solving behavior, 1999). This study provide an insight for the design of problem solving instruction by identifying cognitive, metacognitive and affective characteristics of the students\\` problem solving behaviors. The results report that the metacognitive factor were significantly related to problem solving performance interacting with both cognitive and affective factors.