• School Mathematics
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• v.7 no.2
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• pp.123-137
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• 2005

Elementary combinatorial problem may be classified into three different combinatorial models(selection, distribution, partition). The main goal of this research is to determine the effect of type of combinatorial operation and implicit combinatorial model on problem difficulty. We also classified errors in the understanding combinatorial problem into error of order, repetition, permutation with repetition, confusing the type of object and cell, partition. The analysis of variance of answers from 339 students showed the influence of the implicit combinatorial model and types of combinatorial operations. As a result of clinical interviews, we particularly noticed that some students were not able to transfer the definition of combinatorial operation when changing the problem to a different combinatorial model. Moreover, we have analysed textbooks, and we have found that the exercises in these textbooks don't have various types of problems. Therefore when organizing the teaching , it is necessary to pose various types of problems and to emphasize the transition of combinatorial problem into the different models.

• The Journal of the Convergence on Culture Technology
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• v.7 no.4
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• pp.435-440
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• 2021

This study examines the effectiveness of the study through a case of PBL (problem-based learning) class conducted in a balanced culture course called at 00 - University in the second semester of 2020. The effects we can achieve through learning are as follows: First, problem-based learning (PBL) has sufficient active interaction between the teacher and the learner. Second, PBL learning can actively utilize various problems that fit the characteristics of the subject and actively utilize the process of role sharing and collaboration. Third, critical perceptions of problem situations can be extended. The limitations identified in this class case are, first, the nature of the subject, "Understanding Culture and Philosophy," which makes it possible to discuss the global cultural phenomenon, but it should be discussed in terms of philosophy. Second, it is not easy to work as a team on non-face-to-face online.

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.79-104
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• 2022

It is very important to help students learn by examining how well students solve math problems. Therefore, in this study, four methods(error analysis by problem type, schematization analysis, area graph analysis, and broken line graph analysis) were constructed to analyze how the connectivity between concepts of middle school functions affects the problem solving results. The students' learning situation was visually expressed to enable intuitive understanding. This analysis method makes it easy to understand the evaluation results of students. It can help students learn by understanding their learning situation. It will be useful in mathematics teaching and learning as it can help students to monitor their own problems and make a self-directed learning plan.

• The Journal of the Korea Contents Association
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• v.17 no.12
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• pp.191-201
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• 2017

The purpose of this study was to examine the learning outcome of problem-based learning as an efficient teaching method to improve the competencies of great talents for future society. A general education course of a university that was one of teaching profession courses titled "prevention of school violence and countermeasures" was provided in the form of PBL, and data were gathered, which were reflective journals, evaluation sheet and observational journals. As a result, PBL produced learning effects such as understanding and applying learning contents, fostering cooperativeness, problem-solving skills and a sense of responsibility, extended thinking and good understanding of PBL. Also, that provided a great opportunity for the students to build up their character by learning caring and by improving cooperativeness, a sense of responsibility and communicative competency, which preservice teachers should have. The findings of the study suggest that the expansion of PBL is necessary to bolster problem- solving skills, self-directed learning, cooperativeness and creativity that are competencies required in the era of the Fourth Industrial Revolution.

• Journal of the Korea Convergence Society
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• v.3 no.3
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• pp.21-27
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• 2012

The survey was carried out with a random sample of adults living in Busan and Gyeongnam. The collected material is used by the SPSS version 12.0. The frequency, percentage, examination were applied for studying. We separated the group of safety, general management, real hair management according to characteristic about scarp and hair problems. There is highly understanding about the hair problem that if someone has really sensitive scalp or who has dandruff or who has thin hair or who has someone has hair losing problem in their family. Usually, the group has highly understanding of hair problem, they consult about their hair and scalp with expert. They have a really good attention about the mass media(TV, Internet, Newspaper, Magazine) for scalp and hair health. They reduce using hair products. They always read hair product brochure first and use it. They don't eat fast food frequently. The survey has shown high levels of article. Now the research showed us that s have a strict connection between self-recognition and scalp treatments. That means someone has understanding hair problem then start treatment first.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.273-295
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• 2006

It is the purpose of this study to help computational estimation study to settle down in effective teaching method through analysis how students are understanding computational estimation and what occurs using computational estimation in actual life problem situations. I set 3 cases to accomplish these purposes. (1) How students are understanding computational estimation? (2) How students' computational estimation ability is in applying actual life problem situation? (3) What is students' different attitudes in an actual life problem situation before studying computational estimation and after? To accomplish tile purpose, I chose 6 third grade students and taught 'Computational estimation using actual life problem situation' and analyzed students computational estimation processing. Then I arranged the computational estimation processing in an actual life problem situation and differences between the before and tile after. As a result, I obtained the followings. (1) Need of estimation: Every students could recognize the need of estimation with experiencing an actual life problem situation. (2) Choosing the order of decimals: Students could choose appropriate order of decimals according to an actual life problem situations. (3) Using strategy: They usually use rounding strategy and quite often use special number and compatible number strategy.

• Research in Mathematical Education
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• v.10 no.3 s.27
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• pp.151-167
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• 2006

The open approach to teaching school mathematics in the United States is an outcome of the collaboration of Japanese and U. S. researchers. We examine the approach by illustrating its three aspects: 1) Open process (there is more than one way to arrive at the solution to a problem; 2) Open-ended problems (a problem can have several of many correct answers), and 3) What the Japanese call 'from problem to problem' or problem formulation (students draw on their own thinking to formulate new problems). Using our understanding of the Japanese open approach to teaching mathematics, we adapt selected methods to teach mathematics more effectively in the United States. Much of this approach is new to U. S. mathematics teachers, in that it has teachers working together in groups on lesson plans, and through a series of discussions and revisions, results in a greatly improved, effective plan. It also has teachers actively observing individual students or groups of students as they work on a problem, and then later comparing and discussing the students' work.

• School Mathematics
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• v.15 no.2
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• pp.389-404
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• 2013

Researchers have suggested that students should be experienced in progress of geometric thinking set out in naive and intuitive level and deduced throughout gradual formalization rather than completed mathematics are conveyed to students for students' understanding. This study examined naive and intuitive thinking of students by investigating students' geometric problem solving without diagrams. The students showed these naive thinking: lack of recognition of relation between problem and conditions, use of intuitive judgement depending on diagrams, lacking in understanding of role of specific case, and use of unjustified assumption. This study suggests implication for instruction in geometry.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.7 no.1
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• pp.47-61
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• 2003

Two principally different statements of the problem of stable numerical differentiation are considered. It is analyzed when it is possible in principle to get a stable approximation to the derivative ${\Large f}'$ given noisy data ${\Large f}_{\delta}$. Computational aspects of the problem are discussed and illustrated by examples. These examples show the practical value of the new understanding of the problem of stable differentiation.

• 대한공업교육학회지
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• v.30 no.1
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• pp.37-45
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• 2005

The purpose of this study is to find out the relationship between the Multiple Intelligence and the technological problem solving and the differences between the two. There were a group of 200 third grade middle school students that were comprised of 100 boys and 100 girls and what the difference is exited between the boys and the girls. To measure the students' Multiple Intelligence, MI(Multiple Intelligent)Test designed by Youngrin, Moon was used. As the testing instrument of the Technological problem Solving, we use the test developed by National Center for Research on Evaluation, Standards, and Students Testing(CRESST). The results were; First, In comparison with the boys and girls' multiple intelligence part, there were individual differences in musical intelligence, bodily-kinesthetic intelligence, logical-mathematical intelligence, and naturalistic intelligence of multiple intelligence. Second, In comparison to the technological problem solving part, there were individual differences in self-regulation and there was a mild difference in understanding of the contents. Third, The multiple intelligence related with the self-regulation is continuous with logical-mathematical intelligence, intra-personal intelligence and linguistic intelligence. Fourth, The multiple intelligence related with the technological problem solving strategy is continuous with logical-mathematical intelligence and musical intelligence. Fifth, The multiple intelligence related with the understanding of the contents is continuous with the logical-mathematical intelligence and naturalistic intelligence. To improve the students' technological problem solving ability, it is required the development of the curriculum which focus on the improvement of logical-mathematical intelligence, musical intelligence, intra-personal intelligence, linguistic intelligence and naturalistic intelligence of the students.