• Research in Mathematical Education
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• v.12 no.3
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• pp.179-191
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• 2008

Although problem solving was a major focus of mathematics education research in many countries throughout the 1990s, not enough is known about how people best acquire problem-solving skills. This paper is an attempt to advance further development of problem-solving skills of talented school students through combination of some methods accessible from curriculum knowledge and more special techniques that are beyond curriculum. Analysis of various problems is provided in detail. Educational aspects of challenging problems in mathematical contests up to IMO level are, also, taken into account and discussed in the paper.

• The Journal of Korean Academic Society of Nursing Education
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• v.19 no.3
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• pp.341-350
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• 2013

Purpose: This study was done to identify the relationship among ego resilience, the problem solving process and clinical competency in nursing students. Methods: Data were collected by questionnaires from 265 nursing students in D city. Measures were ego resilience, problem solving process and clinical competency. Data was analyzed using frequency analysis, t-test, one-way ANOVA, person's correlation coefficients, and multiple regression analysis with SPSS/WIN 19.0 version. Result: The Ego resilience score of subjects was 2.80 out of a perfect score of 4, the problem solving process score of subjects was 3.12, and the clinical competency score of subjects was 3.49 out of a perfect score of 5. There was a significant positive correlation among ego resilience, problem solving process and clinical competency. The significant predictors of problem solving process and clinical competency were ego resilience. Conclusion: These findings indicate that there is a need to increase ego resilience to improve the problem solving process and clinical competency of nursing students. The results should be reflected in the development of effective curricula.

• Women's Health Nursing
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• v.17 no.3
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• pp.265-274
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• 2011

Purpose: This study determined the correlation between nurses' critical thinking disposition; problem solving process; and nursing performance. It also examined the impact of critical thinking disposition and problem solving process on nursing performance. Methods: The data was collected from 419 nurses. Descriptive statistics, t-test, ANOVA, scheffe test, pearson correlation analysis and multiple regression analysis were performed. Results: Nursing performance showed that there were differences according to age, marital status, educational level, total number of years in the career and the length of employment in the present department. The problem solving process showed differences in the educational level. Critical thinking disposition showed differences according to age, educational level and total number of years in the career. Problem solving process and nursing performance showed a positive relationship whereas critical thinking disposition and nurses' performance showed a positive relationship. Factors affecting nursing performance, were nurses' age, duration of employment in the present department, problem solving process and critical thinking disposition. This model was statistically significant and showed 22.1% of the total variance. Conclusion: The attention of nursing administrators should be drawn to the consideration that a certain amount of experience in the current department is positively related to nursing performance. Furthermore, in order to provide a improvement in professional nursing performance, educational programs towards nurses' critical thinking disposition and problem solving process should be provided.

• The Journal of Korean Academic Society of Nursing Education
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• v.26 no.4
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• pp.348-356
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• 2020

Purpose: This study aimed to identify the effect of nursing students' empathy and self-esteem on problem-solving ability through the mediated effect of communication skills. Methods: Data were collected from 179 nursing students between 1 October and 30 October, 2018 from three universities in Gyeonggi-Do. Data on subjects' general characteristics, empathy, self-esteem, communication skills, and problem solving ability were collected using a structured self-reporting questionnaire. Results: Of the total subjects, 89.9% were female. The subjects' empathy was 3.40±0.36, self-esteem was 3.16±0.56, communication skills was 3.65±0.48, and problem-solving ability was 3.52±0.42. Communication skills showed a partial mediating effect on the relationship between empathy and problem solving ability. Communication skills also showed a partial mediating effect on the relationship between self-esteem and problem solving ability. Conclusion: These findings indicate that it will be more effective to develop strategies that can improve empathy, self-esteem, and communication skills together when developing programs that improve problem-solving ability.

• Journal of East-West Nursing Research
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• v.28 no.2
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• pp.104-111
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• 2022

Purpose: This study aimed to investigate factors affecting the problem solving ability of nursing students. Methods: The data in this study was collected through structured questionnaires from September 1st to October 30th, 2021. Study participants were 172 fourth grade nursing students at four departments of nursing located in B and K city. IBM SPSS WIN v 21.0. program with t-test, ANOVA, Scheffe' test, Pearson's correlation coefficients, and hierarchical regression was used for data analysis. Results: The mean scores of academic self-efficacy was 3.88±051, empathy was 3.76±0.33, communication skills were 3.94±0.48, and problem solving ability was 3.70±0.40. There were significantly positive correlations between problem solving ability and academic self-efficacy (r=.45, p=<.001), empathy (r=.51, p=<.001), communication skills (r=.52, p=<.001), Factors affecting participants' problem solving ability were empathy (β=.31, p=<.001), and communication skills (β=.23, p=.006), which explained about 38.4% of the problem solving ability. Conclusion: In this study, it is necessary to develop curricular and non curricular nursing program that can strengthen empathy and good communication skills together when developing programs that increase problem solving ability.

• Bulletin of the Korean Mathematical Society
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• v.54 no.2
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• pp.647-654
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• 2017

Duality methods based on modified Lagrangian functional for solving a model crack problem is considered. Without additional assumptions of regularity of the solution of an initial problem duality ratio is established for initial and dual problem.

• The Mathematical Education
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• v.26 no.2
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• pp.9-13
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• 1988

Mathematics education is generally to cultivate mathematical thought. Most meaningful thought is to solve a certain given situation, that is, a problem. The aim of mathematies education could be identified with the cultivation of mathematical problem-solving ability. To cultivate mathematical problem-solving ability, it is necessary to study the nature of mathematical ability and its aspects pertaining to problem-solving ability. The purpose of this study is to investigate the relation between problem-solving ability and classficational viewpoint of mathematical verbal problems, and bet ween the detailed abilities of problem-solving procedure and classificational viewpoint of mathematical verbal problems. With the intention of doing this work, two tests were given to the third-year students of middle school, one is problem-solving test and the other classificational viewpoint test. The results of these two tests are follow ing. 1. The detailed abilities of problem-solving procedure are correlated with each other: such as ability of understanding, execution and looking-back. 2. From the viewpoint of structure and context, students classified mathematical verbal problems. 3. The students who are proficient at problem-solving, understanding, execution, and looking-back have a tendency to classify mathematical verbal problems from a structural viewpoint, while the students who are not proficient at the above four abilities have a tendency to classify mathematical verbal problems from a contextual viewpoint. As the above results, following conclusions can be made. 1. The students have recognized at least two fundamental dimensions of structure and context when they classified mathematical verbal problems. 2. The abilities of understanding, execution, and looking- back effect problem-solving ability correlating with each other. 3. The instruction emphasizing the importance of the structure of mathematical problems could be one of the methods cultivating student's problem-solving ability.

• Journal for History of Mathematics
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• v.29 no.1
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• pp.17-30
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• 2016

This study focused on the selection and application of mathematical problems to provide mathematically challenging tasks for the gifted elementary students. For the selection, a mathematical problem from <算術管見> of Joseon dynasty, '圓容三方互求', was selected, considering the participants' experiences of problem solving and the variety of approaches to the problem. For the application, teaching strategies such as individual problem solving and sharing of the solving methods were used. The problem was provided for 13 mathematically gifted elementary students. They not only solved it individually but also shared their approaches by presentations. Their solving and sharing processes were observed and their results were analyzed. Based on this, some didactical considerations were suggested.

• Women's Health Nursing
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• v.20 no.4
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• pp.246-254
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• 2014

Purpose: The purpose of this study was to analyze the effectiveness of simulation-based maternity nursing practice by applying problem based learning (PBL) on the problem solving process, self-confidence in clinical performance and nursing competence of nursing students. Methods: This study was one group pre-posttest design, with 123 third year nursing students. Data were collected from March 19 to May 29, 2013 as the students completed their simulation practice class. Students completed a survey about their problem solving process, self-confidence, and nursing competence at the beginning and the end of the class. Results: Students' problem solving process, self-confidence, and nursing competence showed significant improvements after the simulation-based maternity nursing practice. Conclusion: Therefore, it is recommended that current maternity nursing curriculum should be reviewed and improved, and the students should be provided variety of simulation-based education and maternity nursing skills.

• 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.