• Communications of Mathematical Education
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• v.25 no.2
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• pp.451-472
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• 2011

In this paper we studied problem solving related with geometric interpretation of algebraic expressions. We analyzed algebraic expressions, related these expressions with geometric interpretation. By using geometric interpretation we could find new approaches to solving mathematical problems. We suggested new problem solving methods related with geometric interpretation of algebraic expressions.

• The Mathematical Education
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• v.48 no.4
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• pp.455-467
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• 2009

During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The test questions are formulated into several areas of questioning-types which can reveal rather different result. The lower level questions are to investigate individual ability to solve multiple mathematical problems while using "mathematical thought." During problem solving, "mathematical thought process" is a systematic sequence of thoughts triggered between logic and insight. The scope of this case study is to present a desirable model in solving mathematical problems and to improve teaching methods for math teachers.

• 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 Korean Academy of Fundamentals of Nursing
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• v.23 no.4
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• pp.430-439
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• 2016

Purpose: The purpose of this study was to contribute to the development of an efficient teaching-learning method by analyzing effects of writing reflective journals on meta-cognition and problem solving ability in nursing students in education applying blended learning for fundamental nursing skills. Methods: The research design was a one-group pretest-posttest design, done to assess changes in meta-cognition and problem solving ability. Participants were 63 nursing students taking the fundamental nursing skills course at one college in Gyeonggi Province. The course was offered from March 21 to June 3, 2016. Data were collected using pre and post tests given before and after writing of reflective journals in blended learning. Data were analyzed using t-test, ANOVA, $Scheff{\acute{e}}^{\prime}s$ test and paired t-test with SPSS Statistics version 20.0. Results: The results of this study show that scores for meta-cognition and problem solving ability of these students were all above average. There was a statistically significant difference in meta-cognition between pre and post writing of reflective journals but not for problem-solving ability. Conclusion: The findings indicate that writing a reflective journal in blended learning is an efficient teaching-learning method to improve meta-cognition in nursing students.

• Korean Journal of Child Studies
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• v.37 no.4
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• pp.57-67
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• 2016

Objective: This study examined the relations between maternal meta-emotion philosophy, child interpersonal problem solving, and peer competence among children aged 4-5 and their mothers and teachers. Methods: A total of 54 children from 24 kindergartens were assessed on their interpersonal problem solving and peer competence. Their mothers reported on meta-emotion philosophy. Their teachers were assessed on child peer competence. Results: The major findings of this study were as follows. First, maternal meta-emotion philosophy, child interpersonal problem solving, and child peer competence showed positive correlation patterns. Second, child interpersonal problem solving and peer competence was found to be influenced by maternal child-directed meta-emotion philosophy but not by maternal self-directed meta-emotion philosophy. Conclusion: Findings highlight the importance of maternal meta-emotion philosophy and that their emotion socialization play a significant role in identifying the mechanisms leading to child social cognitive ability and social adjustment. Furthermore, these results could lead to important basic studies in developing parent/teacher education programs.

• Research in Mathematical Education
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• v.15 no.1
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• pp.31-44
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• 2011

An impetus for reviving research in mathematical problem solving is the recent advance in methodological thinking, namely, the design experiment ([Gorard, S. (2004). Combining methods in educational research. Maidenhead, England: Open University Press.]; [Schoenfeld, A. H. (2009). Bridging the cultures of educational research and design. Educational Designer. 1(2). http://www.educationaldesigner.orgied/volume1/issue21]). This methodological approach supports a "re-design" of contextual elements to fulfil the overarching objective of making mathematical problem solving available to all students of mathematics. In problem solving, components critical to successful design in one setting that may be adapted to suit another setting include curriculum design, assessment strategy, teacher capacity, and instructional resources. In this paper, we describe the implementation, over three years, of a problem solving module into the main mathematics curriculum of an Integrated Programme school in Singapore which had sufficient autonomy to tailor-fit curriculum to their students.

• Journal of Korean Physical Therapy Science
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• v.28 no.3
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• pp.1-10
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• 2021

Background: The purpose of this study is to investigate the effect of the online team project based learning on problem-solving, cooperative self-efficacy, and cooperative self-regulation of college students. Design: Single group pre-post design. Methods: The online team project based learning was conducted for a total of 92 college students for 8 weeks. A survey was conducted on problem-solving ability, cooperative self-efficacy, and cooperative self-regulation. In the online team project-based class, two projects were performed. It consists of video lectures and real-time video conferencing. Through the real-time video conference, the project was carried out based on discussion among learners and feedback was provided. Results: There was a significant difference in the change in problem-solving ability compared to before learning (p<0.05). As a result of the evaluation of cooperative self-efficacy, there was a significant difference (p<0.05). There was a significant differences in cooperative self-regulation compared to before learning (p<0.05). Conclusion: The online team project-based learning are effective in improving learners' problem-solving ability, cooperative self-efficacy, and cooperative self-regulation.

• Women's Health Nursing
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• v.26 no.1
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• pp.61-71
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• 2020

Purpose: This study was conducted to investigate the effects of problem-based learning-integrative simulation practice (PBL-ISP) on nursing knowledge, critical thinking, problem-solving ability, and immersion among nursing students. Methods: The study used a nonequivalent control group post-test design. A PBL-ISP educational program was provided to the experimental group, and hands-on practice using a high-fidelity simulator (HFS) was administered to the control group. There were 42 subjects in the experimental group and 40 in the control group. Data were collected during the fall semester of 2019. Using SPSS for Windows version 23.0, data were analyzed in terms of frequency, percentage, mean, standard deviation, the chi-square test, t-test, and Pearson correlation coefficients. Results: Significant differences between the experimental and control groups were found in nursing knowledge (t=3.67, p<.001), critical thinking (t=3.40, p=.001), problem-solving ability (t=3.52, p=.001) and immersion (t=4.44, p<.001). Conclusion: PBL-ISP was more effective in improving nursing knowledge, critical thinking, problem-solving ability, and immersion than was hands-on practice using an HFS.

• Journal of Educational Research in Mathematics
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• v.12 no.1
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• pp.71-79
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• 2002

Visualization have strong driving force that enables us to recognize abstract mathematics by direct and specific method in school mathematics. Specially, visual thinking helps in effective problem solution via intuition in mathematics education. So, this paper examines the meaning of visualization, the role of visualization in intuitive problem solving process and the methods for enhancement of intuition using visualization in mathematics education. Visualization is an useful tool for illuminating of intuition in mathematics problem solving. It means that visualization makes us understand easily mathematical concepts, principles and rules in students' cognitive structure. And it makes us experience revelation of anticipatory intuition which finds clues and strategy in problem solving. But, we must know that visualization can have side effect in mathematics learning. So, we have to search for the methods of teaching and learning which can increase students' comprehension about mathematics through visualization and minimize side aspect through visualization.

• Journal of the Korean School Mathematics Society
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• v.18 no.3
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• pp.241-258
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• 2015

The purpose of this paper is to examine the students' mathematics problem solving process in the intuitive stages. For this, researcher developed the questionnaire which consisted of problems in relation to intuitive and algorithmic problem solving. 73 fifth grade and 66 sixth grade elementary students participated in this study. I got the conclusion as follows: Elementary students' intuitive problem solving ability is very low. The rate of algorithmic problem solving is higher than that of intuitive problem solving in number and operation areas. The rate of intuitive problem solving is higher in figure and measurement areas. Students inclined to solve the problem intuitively in that case there is no clue for algorithmic solution. So, I suggest the development of problems which can be solved in the intuitive stage and the preparation of the methods to experience the insight and intuition.