• The Mathematical Education
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• v.55 no.1
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• pp.21-39
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• 2016

This research examined the Korean and American $6^{th}$ grade students' mathematical problem solving ability and methods via an intuitive thinking. For this, the survey research was used. The researcher developed the questionnaire which consists of problems with intuitive and algorithmic problem solving in number and operation, figure and measurement areas. 57 Korean $6^{th}$ grade students and 60 American $6^{th}$ grade students participated. The result of the analysis showed that Korean students revealed a higher percentage than American students in correct answers. But it was higher in the rate of Korean students attempted to use the algorithm. Two countries' students revealed higher rates in that they tried to solve the problems using intuitive thinking in geometry and measurement areas. Students in both countries showed the lower percentages of correct answer in problem solving to identify the impact of counterintuitive thinking. They were affected by potential infinity concept and the character of intuition in the problem solving process regardless of the educational environments and cultures.

• Knowledge Management Research
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• v.7 no.1
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• pp.1-12
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• 2006

The previous empirical research suggests that problem finding is more important than problem solving in the creative process. Problem finding is increasingly recognized in theories of creativity. In spite of the importance of problem finding, there is little research to explain problem finding in Korea. This article reviews the research about problem finding and examines the nature of problem finding, the type of problems, the relation of problem finding and problem solving, the relation of problem finding and creativity, and the serendipity. Finally, theoretical and educational implications are discussed.

• Journal of Korean Academy of Nursing Administration
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• v.12 no.2
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• pp.287-294
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• 2006

Purpose: The purpose of this study was to identify the change of critical thinking disposition and problem solving process in students who experienced problem-based learning. Method: This research design was one group pre-post test design. Twenty-five nursing students who participated in ‘'Nursing Process' course with two PBL packages for a semester in 2004 were the subjects of this study. The data were analyzed by repeated measures of ANOVA, and content analysis. Result: The problem defining in problem solving process was improved significantly, but there was no significant difference in the critical thinking disposition. Conclusion: The results of this study suggest that PBL has a positive effect on nursing students' problem solving process, But for a more significant effect on a continuous base for critical thinking of nursing students, faculties should use web based and simulation-based education for self directed learning along with clinical situation-based scenarios.

• Journal of The Korean Association For Science Education
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• v.17 no.3
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• pp.313-321
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• 1997

The purpose of this study was to investigate the instructional effect of a four-stage problem solving approach visually emphasizing the molecular level of matter upon students' conceptions and problem solving ability. On the basis of the research results regarding molecular representation in learning chemistry, problem-solving instruction, and the effect of visual materials, the instructional strategy was developed while considering Korean educational situations. The treatment and control groups (2 classes) were selected from a girls' high school in Seoul and taught about stoichiometry, gas, liquid, solid, and solution for 13 weeks. For the treatment group, 52 charts were supplied in order to emphasize the molecular level of matter and/or 4 stage problem solving strategy-understanding, planning, solving, and reviewing. For the control group, traditional instruction was used. Before the instructions, the Group Assessment of Logical Thinking and the Spatial Ability Test were administered, and their scores were used as covariate and blocking variable, respectively. After the instructions, students' conceptions and problem solving ability were measured by the Chemistry Conceptions Test (CCT) and the Chemistry Problem Solving Ability Test (CPSAT), respectively. The results indicated that the CCT scores of the treatment group were significantly higher than those of the control group. The students in the treatment group also exhibited less misconceptions than those in the control group. However, there was not significant difference for the CPSAT scores. No interaction with students' spatial ability was found for both students' conceptions and problem solving ability. Educational implications are discussed.

• The Journal of Korean Association of Computer Education
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• v.18 no.5
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• pp.1-13
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• 2015

In recent domestic and international curriculum it is emphasized that students should acquire 'problem solving' competence as a member of knowledge information society and various programming educational methods of improving problem solving competence have been studied. But there is no difference between programming problems in related research and traditional programming courses. Most methods of solving problems are focused on acquiring specific languages rather than enhancing problem solving ability. In this research, we developed a suitable programming problems and curriculum for fostering problem solving competence and designed and developed teaching and learning contents based on PSA(Problem Solving Activities). Furthermore, we obtained meaningful results of improving learners' problem solving ability and logical thinking ability by operating curriculum with developed contents as learning materials. The results of this research are expected to be used as a reference model or basic teaching materials for developing and operating the programming teaching and learning contents or curriculum to enhance problem solving competence.

• Journal of The Korean Association For Science Education
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• v.21 no.2
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• pp.289-298
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• 2001

The effect of the instructional approach that asked students to check their problem-solving processes through a paired think-aloud problem solving after presenting molecular-level pictures and a four stage-problem solving strategy was investigated. Four high school classes (N = 191) were randomly assigned to St group (using Strategy individually), SL group (Solver Listener), St-SL group (using Strategy-Solver Listener), and control group. Although the test scores of the St-SL group on strategy performing ability were significantly higher than those of the control group, there was not significant difference for the scores in the multiple-choice algorithmic problems. Regarding the subcategories of strategy performing ability test, students' ability of understanding given of problems and deriving the proper physical quantity was improved, but their ability of setting up subgoals and reviewing their solving process was very low. The preference to the strategy of the St-SL group was more positive than that of the St group.

• 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.

• East Asian mathematical journal
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• v.33 no.4
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• pp.381-411
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• 2017

The purpose of this study is to investigate how students' mathematical creativity changes through problem-solving instruction using problem-posing for elementary school students and to explore instructional methods to improve students' mathematical creativity in school curriculum. In this study, nonequivalent control group design was adopted, and the followings are main results. First, problem-solving lessons with problem-posing had a significant effect on students' mathematical creativity, and all three factors of mathematical creativity(fluency, flexibility, originality) were also significant. Second, the lessons showed meaningful results for all upper, middle, and lower groups of pupils according to the level of mathematical creativity. When analyzing the effects of sub-factors of mathematical creativity, there was no significant effect on fluency in the upper and middle groups. Based on the results, we suggest followings: First, there is a need for a systematic guidance plan that combines problem-solving and problem-posing, Second, a long-term lesson plan to help students cultivate novel mathematical problem-solving ability through insights. Third, research on teaching and learning methods that can improve mathematical creativity even for students with relatively high mathematical creativity is necessary. Lastly, various student-centered activities in math classes are important to enhance creativity.

• The Mathematical Education
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• v.26 no.1
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• pp.11-19
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• 1987

The purpose of this research is to investigate the strategies for problem solving used by teachers and students and obtain some information which would be useful to enhance the ability of problem solving of the students. For this purpose we apply the thinking aloud method to study 6 graders and 6 teachers who were asked to solve 5 word problems. And we create a coding system to analyze those strategies. Using this coding system, we code the examinees and problems. we come up with the following facts from our study. (1) The number of strategies used by teachers is less than that used by students. (2) The characteristic of the strategies used by students is to set up an equation. (3) There is deep relationship between understanding the question and choosing the successful strategies for problem solving. (4) The students use the inductive argument more often than the teachers in the case of nonroutine mathematical problem. (5) The student of high success rate have fewer strategies than the others. From the above facts. it proposes the following conclusion for the enhancement of the ability of problem solving: So far the teachers usually use a few typical strategies for problem solving. But they need to create various strategies for pqoblem solving. It makes it possible for the students to choose proper strategies according to their ability. The students need to be given nicely constructed problem with enough time.

• Research in Mathematical Education
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• v.19 no.1
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• pp.19-41
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• 2015

Previous studies indicated that students tended to hold less satisfactory beliefs about the discipline of mathematics, beliefs about themselves as learners of mathematics, and beliefs about mathematics teaching and learning. However, only a few studies had developed curricular interventions to change students' beliefs. This study aimed to examine the effect of a problem-solving curriculum (i.e., Mathematical Problem Solving for Everyone, MProSE) on Singaporean Grade 7 students' beliefs about mathematical problem solving (MPS). Four classes (n =142) were engaged in ten lessons with each comprising four stages: understand the problem, devise a plan, carry out the plan, and look back. Heuristics and metacognitive control were emphasized during students' problem solving activities. Results indicated that the MProSE curriculum enabled some students to develop more satisfactory beliefs about MPS. Further path analysis showed that students' attitudes towards the MProSE curriculum are important predictors for their beliefs.