• Journal of The Korean Association For Science Education
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• v.21 no.4
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• pp.738-744
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• 2001

This study investigated the influences of an instructional method related to problem solving. The new instruction consists of a four-stage problem-solving strategy emphasizing 'planning' and 'checking' stages, and a think-aloud paired problem solving in order to check students' performances in solving problems. Two high school classes (n=91) were randomly assigned to the treatment and the control groups. Prior to the instructions. students' perception of involvement and self-efficacy were examined, and their scores were used as covariates in the analysis. Students' problem-solving ability, perception of involvement. and self-efficacy were examined after the instructions. The test scores of the treatment group were significantly higher than those of the control group in the problem-solving ability and the perception of involvement. However, there was no significant difference between the scores of the two groups in the self-efficacy.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.51-61
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• 2000

Mathematical Problem solving has been the focus of a considerable amount of research over past 30 years. But nowadays problem solving is being beginning to be of less interest to mathematics education researchers. Moreover, mathematics teachers have an urgent need to be provided with well-documented informations about "teaching of(expecially, via) problem solving" though following research issues ：ⅰ) the role of the teacher in a problem-centered classroom, ⅱ) what actually takes place in problem-centered classrooms, and iii) groups and whole classes' problem solving rather than individuals. This paper intends to give some informations about practice of teaching mathematical problem solving in elementary school.ry school.

• The Mathematical Education
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• v.44 no.3 s.110
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• pp.361-374
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• 2005

I analyzed the effect of problem posing teaching and teacher-centered teaching on mathematical problem-solving ability and creativity in order to know the efffct of problem posing teaching on mathematics study. After we gave problem posing lessons to the 3rd grade middle school students far 28 weeks, the evaluation result of problem solving ability test and creativity test is as fellows. First, problem posing teaching proved to be more effective in developing problem-solving ability than existing teacher-centered teaching. Second, problem posing teaching proved to be more effective than teacher-centered teaching in developing mathematical creativity, especially fluency and flexibility among the subordinate factors of mathematical creativity. Thus, 1 suggest the introduction of problem posing teaching activity for the development of problem-solving ability and mathematical creativity.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.243-262
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• 2017

This study has its purpose on improving mathematic education by analyzing the effects of the teaching and learning process which adopted 'FOCUS Problem Solving Steps' on student's mathematical problem solving ability and their mathematical attitude. The result is as follows. First, activities through FOCUS Problem Solving Steps showed positive effect on students' problem solving ability. Second, among mathematical attitudes, mathematical curiosity, reflection and value are proved to have statistically meaningful effect and from the result that analyzed changes of subject students, we could suppose that all 6 elements of mathematical attitude had positive effect. Third, by solving questions through FOCUS steps, students felt satisfaction when they success by themselves. If projects which adopted FOCUS Problem Solving Steps take effect continuously by happiness from the process of reviewing and reflecting their own fallacy and solving that, we might expect meaningful effect on students' problem solving ability. Through this study, FOCUS Problem Solving Steps had positive effect not only on students' mathematical problem solving ability but also on formation of mathematical attitude. As a result, it implies that FOCUS Problem Solving Steps need to be applied to other grades and fields and then studied more.

• Journal of The Korean Association of Information Education
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• v.18 no.2
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• pp.243-254
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• 2014

We need problem solving abilities based on the information abilities in information-oriented society. New curriculum is demanded by new technology and circumstance to need the core competencies. Korea Association of Information Education has studied new curriculum and suggested new plans that contents of information education classified by 'Software', 'Computer System' and 'Convergence Activities.' Therefore, we studied on 'Problem Solving' topic of the 'Software' section of first grade to ninth grade. In this paper we firstly categorized 'Problem Solving' as 'Problem Comprehension and Analysis', 'Data Management', 'Strategy Establishment for Problem Solving', 'Problem Solving Method Seeking and Development' and 'Examination of Problem Solving Method.' We nextly suggested the achievement goals, teaching-learning methods and evaluation methods of 'Problem Solving' topic. We expect that the achievement goals and teaching-learning methods we suggested about 'Problem Solving' topic will contribute to training talented individuals.

• Education of Primary School Mathematics
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• v.17 no.1
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• pp.57-75
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• 2014

Problem Solving has been emphasized for recent decades, and many research case studies have been used to improve students' Problem Solving abilities. However, the gap of students' abilities can be easily shown after enrollment into school in spite of scholar's attempt to reduce students' level of differentiation. Besides, it is clear that teachers have been too readily assisting students' and not allowing them to acquire the process of Problem Solving, and this may be due to impatience. Therefore, students seem to show signs of the dependent tendency towards teachers and other materials. This tendency easily allows students' to depend on teaching resources without attempting any developmental mechanism of Problem Solving. The presupposition of this study is that every student must solve a problem without any assistance, and also this study is to provide new cognitive strategies for both teachers and students who want to solve their problems by themselves through the process of visible Problem Solving. After applying the student-based problem-solving model by this study, it was found to be effective. Therefore this will lead to the improvement of the Problem Solving and knowledge acquisition of students.

• Knowledge Management Research
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• v.15 no.4
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• pp.15-34
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• 2014

Creative problem solving has become an important issue in many fields. Among problems, dilemma need creative solutions. New creative and innovative problem solving strategies are required to handle the contradiction relations of the dilemma problems because most creative and innovative cases solved contradictions inherent in the dilemmas. Among various kinds of problem solving theories, TRIZ provides the concept of physical contradiction as a common problem solving principle in inventions and patents. In TRIZ, 4 separation principles solve the physical contradictions of given problems. The 4 separation principles are separation in time, separation in space, separation within a whole and its parts, and separation upon conditions. Despite this attention, an accurate definitions of the separation principles of TRIZ is missing from the literature. Thus, there have been several different interpretations about the separation principles of TRIZ. The different interpretations make problems more ambiguous to solve when the problem solvers apply the 4 separation principles. This research aims to fill the gap in several ways. First, this paper classify the types of contradiction relations and the contradiction solving dimensions based on the Butterfly model for contradiction solving. Second, this paper compares and analyzes each contradiction relation type with the Butterfly diagram. The contributions of this paper lies in reducing the problem space by recognizing the structures and the types of contradiction problems exactly.

• East Asian mathematical journal
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• v.31 no.2
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• pp.145-165
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• 2015

The purpose of this study is to suggest how to go about teaching and learning secondary school algebra by analyzing problem-solving ability and problem-solving process through algebraic reasoning. In doing this, 393 students' data were thoroughly analyzed after setting up the exam questions and analytic standards. As with the test conducted with technical school students, the students scored low achievement in the algebraic reasoning test and even worse the majority tried to answer the questions by substituting arbitrary numbers. The students with high problem-solving abilities tended to utilize conceptual strategies as well as procedural strategies, whereas those with low problem-solving abilities were more keen on utilizing procedural strategies. All the subject groups mentioned above frequently utilized equations in solving the questions, and when that utilization failed they were left with the unanswered questions. When solving algebraic reasoning questions, students need to be guided to utilize both strategies based on the questions.

• Korean Journal of Child Studies
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• v.12 no.1
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• pp.52-67
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• 1991

The purpose of the present study was to investigate children's interpersonal problem solving strategies. Specifically, the number and categories of interpersonal problem solving strategies were examined by age, sex, and source of problem (friends or mother). The subjects were eighty 4,-and 6-year-old boys and girls. The instrument was based on Shure and Spivack's (1974) Preschool Interpersonal Problem Solving (PIPS) test. The test was administered to the children individually in the preschool setting. The data were analyzed by two-way ANOVA, frequency, percentage, and Kendall's Tau. The results showed that the older children had higher PIPS scores; that is, the 6-year-olds suggested more alternative problem solving strategies than 4-year-olds. Children suggested more alternate strategies and different strategies for solving problems with friends compared to solving problems with mothers.

• Journal of Korean Elementary Science Education
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• v.28 no.3
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• pp.229-244
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• 2009

This study was initiated to investigate sixth graders' gender characteristics in science problem solving process and thus find out the proper learning and teaching strategies for each gender. A total of 14 students, each of seven male and female students, were selected through three tests, including items of science knowledge, science inquiry, and creativity. Students were required to solve 26 items and to think aloud for researchers help understand how they thought in their problem solving process. Males and females showed some similarity and difference in four steps of problem solving process, understanding, planning, solving, and reviewing. We found gender differences in self-confidence of their answer. This study is expected to help develop teachers' differential teaching strategy for male and female students' science problem solving.