• The Mathematical Education
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• v.57 no.3
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• pp.271-287
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• 2018

This is a case study that defined collaborative utterances and analyzed how they appear in the problem-solving process when 5th-grade students solved problems in groups. As a result, collaborative utterances consist of an interchange type and a deliver type and the interchange type is comprised of two process: the verification process and the modification process. Also, in groups where interchange type collaborative utterances were generated actively and students could reach an agreement easily, students applied the teacher's help to their problem-solving process right after it was provided and could solve problems even though they had some mathematics errors. In interchange-type collaborative utterances, each student's participation varies with their individual achievement. In deliver-type collaborative utterances, students who solved problems by themselves participated dominantly. The conclusions of this paper are as follows. First, interchange-type collaborative utterances fostered students' active participation and accelerated students' arguments. Second, interchange-type collaborative utterances positively influenced the problem-solving process and it is necessary to provide problems that consider students' achievement in each group. Third, groups should be comprised of students whose individual achievements are similar because students' participation in collaborative utterances varies with their achievement.

• Korean Journal of Child Studies
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• v.28 no.4
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• pp.319-331
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• 2007

This review of literature establishes a contemporary meaning of mathematical problem solving including young children's mathematical problem solving processes/assessments and teaching strategies. The contemporary meaning of mathematical problem solving involves complicated higher thinking processes. Explanations of the mathematical problem solving processes of young children include the four steps suggested by $P{\acute{o}}lya$(1957) : understand the problem, devise a plan, carry out the plan, and review/extend the plan. Assessments of children's mathematical problem solving include both the process and the product of problem solving. Teaching strategies to support children's mathematical problem solving include mathematical problems built upon children's daily activities, interests, and questions and helping children to generate new approaches to solve problems.

• The Mathematical Education
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• v.48 no.2
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• pp.183-190
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• 2009

This is a following study of the preceding study, Flexibility of mind and divergent thinking in problem solving process that was performed by Choi & Do in 2005. In this paper, we discuss the relationship between ability to shift a viewpoint and insight into invariance, another major consideration in mathematical creativity, in the process of mathematical problem solving.

• Journal for History of Mathematics
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• v.32 no.6
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• pp.281-299
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• 2019

Mathematical problem solving has become a major concern in school mathematics, and methods to enhance children's mathematical problem solving abilities have been the main topics in many mathematics education researches. In addition to previous researches about problem solving, the development of a mathematical problem solving method that enables children to establish mathematical concepts through problem solving, to discover formalized principles associated with concepts, and to apply them to real world situations needs. For this purpose, I examined the necessity of problem solving education and reviewed mathematical problem solving researches and problem solving models for giving the theoretical backgrounds. This study suggested the problem solving approach based on the intuitive and the formal inquiry which are the basis of mathematical discovery and inquiry process. And it is developed to keep the balance and complement of the conceptual understanding and the procedural understanding respectively. In addition, it consisted of problem posing to apply the mathematical principles in the application stage.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.437-461
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• 2011

The purpose of this study was to examine the metacognition of mathematically gifted students in the problem-solving process of the given task in a bid to give some significant suggestions on the improvement of their problem-solving skills. The given task was to count the number of regular squares at the n${\times}$n geoboard. The subjects in this study were three mathematically gifted elementary students who were respectively selected from three leading gifted education institutions in our country: a community gifted class, a gifted education institution attached to the Office of Education and a university-affiliated science gifted education institution. The students who were selected from the first, second and third institutions were hereinafter called student C, student B and student A respectively. While they received three-hour instruction, a participant observation was made by this researcher, and the instruction was videotaped. The participant observation record, videotape and their worksheets were analyzed, and they were interviewed after the instruction to make a qualitative case study. The findings of the study were as follows: First, the students made use of different generalization strategies when they solved the given problem. Second, there were specific metacognitive elements in each stage of their problem-solving process. Third, there was a mutually influential interaction among every area of metacognition in the problem-solving process. Fourth, which metacognitive components impacted on their success or failure of problem solving was ascertained.

• Journal of Engineering Education Research
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• v.18 no.3
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• pp.39-45
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• 2015

Many methods have been suggested for a creative problem solving approach. TRIZ approach is ranked top in its practical application because it is originated from the real patent analysis. This approach is assumed to be generic which can be applied to any types of problems regardless of problem type and its domain. The objective of this study is to propose a creative problem solving approach using TRIZ's contradiction analysis, then introduce a case study of applying this approach to a creative design coursework. Main topic covers a creative problem solving approach, a problem definition using TRIZ contradiction analysis, finding invention principles, and problem solving from the generic approach. For the course project, Roborobo tool is adopted to implement the design concept. This coursework helps students finding a general problem solving approach, and applying a generic solution for their specific problem domain.

• The Journal of Korean Academic Society of Nursing Education
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• v.17 no.2
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• pp.226-234
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• 2011

Purpose: The purpose of this study was to identify the effect of a simulation-based practice on clinical performance and problem solving processes for nursing students. Method: The study used a one group pre-post test design. Students experienced a simulation-based practice that included team base learning, skill training, taking a high-fidelity simulation with SimMan 3G, and also being debriefed for 12 weeks (August 2010 to December 2010). The pre-test and post-test were conducted to compare the differences in knowledge, clinical nursing skills, and problem solving processes. Result: After students had received the simulation-based practice, they showed statistically significant higher knowledge (t=14.73, p<.001) and clinical nursing skills (t=15.47, p<.001) than before. However, there was no significant difference in the problem solving process score (t=1.53, p=.127). Conclusion: This study showed that knowledge and clinical nursing skills were significantly improved by the simulation-based practice. Further research would be required to identify how the problem solving process that uses simulation-based practice could be developed further.

• Journal of Korean Academy of Fundamentals of Nursing
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• v.16 no.1
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• pp.46-55
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• 2009

Purpose: The purpose of this research was to evaluate the effects of PBL on ability of nursing students in Self-Directed Learning, Critical Thinking Disposition and Problem Solving Process. Methods: The research design was a nonequivalent control group pretest-posttest design. For the experimental group PBL was used during one semester (14 weeks). Instruments for data collection were Self-Directed Learning Readiness Scale (Kim, 1997), Critical Thinking Disposition Scale (K won et al., 2006) and Problem Solving Process Scale (Lee, 1979). The data were analyzed by repeated measure ANOVA. Results: There were statistically significant improvements in Self-Directed Learning and Critical Thinking between the two groups after PBL. But there was no statistically significant improvement in the Problem Solving Process. Conclusion: These results suggest that PBL has a positive effect on nursing students' education. Therefore, PBL should be used for more subjects in the nursing curriculum.

• 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 Korea Academia-Industrial cooperation Society
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• v.13 no.3
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• pp.1122-1128
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• 2012

This study was aimed at identifying the factors of creative ability influencing problem-solving skills for University students majoring in nursing science. A descriptive study was conducted with a sample of 248 students enrolled in a 4-year undergraduate academic program for nursing in one University located in an urban area of Korea. This study used: (a) 25 items of Process Behavior Survey, and (b) 35 items of the Integrative Creativity Scale. The data were collected from Nov. 8th toward Nov. 26th, 2010; the research was conducted through voluntary participation after an explanation about the research. The data were also analyzed with SPSS 18.0 program, using Pearson correlation and stepwise multiple regression methods. Mean score of the level of problem-solving process was 3.62(${\pm}.448$). Problem-solving process was significantly related to creative ability(p<.01). Problem-solving process was significantly influenced by flexibility and elaboration in account for 42.4%. These results imply that in order to foster problem-solving ability, nursing professors need to develop nursing students' creative ability and its factors.